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author: Thomas Stephen Lee 2015-09-04 22:04:10 +0530
committer: Thomas Stephen Lee 2015-09-04 22:04:10 +0530
commit: 41f1f72e9502f5c3de6ca16b303803dfcf1df594 (patch)
tree: f4bf726a3e3ce5d7d9ee3781cbacfe3116115a2c /ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans
parent: 9c9779ba21b9bedde88e1e8216f9e3b4f8650b0e (diff)
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diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/.ipynb_checkpoints/chapter10-checkpoint.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/.ipynb_checkpoints/chapter10-checkpoint.ipynb
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+{
+ "metadata": {
+  "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 10: Introduction to Power Electronics"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 10.5, Page number: 508"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "from pylab import *\n",
+      "import numpy as np\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "w=2*pi*60                               #frequency of voltage(Hz)\n",
+      "R=10                                    #ohm\n",
+      "C=0.01                                  #F\n",
+      "Vo=120*sqrt(2)                          #maximum voltage(V)\n",
+      "Nmax=800\n",
+      "tau=R*C                                 #time constant(s)\n",
+      "\n",
+      "#Calculations:\n",
+      "# diode = 1 when rectifier bridge is conducting\n",
+      "\n",
+      "diode=1\n",
+      "t=[0]*801\n",
+      "vs=[0]*801\n",
+      "vrect=[0]*801\n",
+      "vR=[0]*801\n",
+      "iB=[0]*801\n",
+      "\n",
+      "t=[0]*801\n",
+      "for n in range(1,Nmax+2,1):\n",
+      "    t[n-1] = (2.5*pi/w)*(n-1)/Nmax\n",
+      "    vs[n-1]=Vo*math.cos(w*t[n-1])\n",
+      "    vrect[n-1]=abs(vs[n-1])\n",
+      "#if the rectifier bridge is ON:\n",
+      "    if diode==1:\n",
+      "        vR[n-1]=vrect[n-1]\n",
+      "        if (w*t[n-1])<=(pi/2):\n",
+      "            iB[n-1]=vR[n-1]-Vo*C*w*math.sin(w*t[n-1])\n",
+      "        elif (w*t[n-1])<=3*pi/2:\n",
+      "            iB[n-1]=vR[n-1]/R+Vo*C*w*math.sin(w*t[n-1])\n",
+      "        else:\n",
+      "            iB[n-1]=vR[n-1]/R-Vo*C*w*math.sin(w*t[n-1])\n",
+      "        if iB[n-1]<0:\n",
+      "            diode=0\n",
+      "            toff=t[n-1]\n",
+      "            Voff=vrect[n-1]\n",
+      "    else:\n",
+      "        vR[n-1]=Voff*exp(-(t[n-1]-toff/tau))\n",
+      "        iB[n-1]=0\n",
+      "        if (vrect[n-1]-vR[n-1])>0:\n",
+      "            diode=1\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "iR=(1/R)*np.array(vR)\n",
+      "plot(1000*np.array(t),vR)\n",
+      "xlabel('time [msec]')\n",
+      "ylabel('voltage [V]')\n",
+      "xlim(0,22)\n",
+      "ylim(0,180)\n",
+      "plot(1000*np.array(t),vrect,'--')\n",
+      "grid()\n",
+      "print \"The required plots are shown below:\"\n",
+      "show()\n",
+      "plot(1000*np.array(t),iR)\n",
+      "xlabel('time [msec]')\n",
+      "ylabel('source current [A]')\n",
+      "xlim(0 ,22)\n",
+      "ylim(-50,250)      \n",
+      "plot(1000*np.array(t),1.5*np.array(iB),'--')\n",
+      "grid()\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Populating the interactive namespace from numpy and matplotlib\n",
+        "The required plots are shown below:"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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ibCiGqVKvAU4DsP/GfszznydsKIbxuYNUw2K96m0CQpzAsLS0REFBASwsLJCf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\nOE6H/T8o9Q6nwzgdWAAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x7f054c060710>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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CsWppbSLgX0cGLlysTua8ZMS8lJExL4eaQXV1NVauXIlJkyZh0qRJWL16Ncxm\n+/95HaHT6TB27FhER0dj/fr1AIDi4mJ069YNABAcHIyioqJW7Ze0457/uQc/Xv7R7mOCfIM49Efk\nRA4NE82bNw++vr5ISkqCEALvvvsu5s6di7fffrtNL3748GH06NEDxcXFuPfeezFgwACHnztnzhyE\nhoYCADp37ozY2FjbOJy163K74baVLPVYtyvOViD7UDYGTB7Q7OMLLxWif7f+Lq3PSu18tLJtJUs9\nsm9bOfP1srKysHXrVgCwvV82x6FJZxEREfj6669bvK0tVqxYAQDYtGkTjhw5guDgYBQXF+OOO+7A\nDz/80LBoOxMnSHv6r++Pj2Z+xElnRE5m773ToWEivV6PvLw823ZeXl6b5xlUVlaisrJ+lnBFRQUy\nMzMRERGBhIQEpKamAgBSU1ORkJDQptehejf+NiITGRu7zHnJiHkpI2NeDg0TrVy5Erfffjv696//\nze37779v89VEhYWFmDJlCnQ6HSorKzFz5kzcd999GDFiBGbMmIEtW7agV69e2LZtm+J9W4QFNXU1\n8O3g26YayXV4nodIXQ6vTVRZWYnTp09Dp9MhKioKfn5+zq6tWS0NE7114i18/vPn2DJ5iwurotYa\n8/cx2HTfJtzc5Wa1SyFya20eJtq2bRssFguGDRuGXbt24cEHH0R2dna7FtmeOOlMW/bO3stGQKQy\nh5rByy+/jICAABw4cAD79u3D/PnzsWjRImfX1mpsBo3JOEap1P68/bhWc80lr+UOebkS81JGxrwc\nPoEM1E8Ie/TRRzFp0iTU1tY6tbC2YDNwT4/ufBT5V/PVLoPILTnUDEJCQvDEE09g+/btmDhxIsxm\nM5uBxlivQdayIN8gl61P5A55uRLzUkbGvBxqBv/4xz8wevRoZGZmonPnzigpKcFrr73m7NpazeBr\nQI2lRu0yqJ2xyRM5j0PNwGAw4MEHH8Qtt9wCAOjVqxfGjRvn1MLaIsQQgrNPnVW7DKnIOEZplV+a\nj5q6lpt3kJ/rlqSQOS8ZMS9lZMxLzk+oIY9y19a7HDoX4OrF6og8CZuBh5BxjNJKwLEZyEP7DEVw\nx2AnV1NP5rxkxLyUkTEvh2YgEzmbDi3PQF40TN7LmYm0jkcGHkLGMUorrk2kfcxLGRnzcttmUFVb\n5dBJSZID1yYiUpfbNoPJ/5iMvbl71S5DGjKOUVoZDUZ00Ms1YilzXjJiXsrImJdc/wPbUaBPIK9J\n14iD8w7OU7GOAAAOOElEQVSqXQKRx3PbIwNOUGpIxjFKpUqrSnHgpwMueS13yMuVmJcyMubFZkCa\n8XPpz3gi/Qm1yyByS2wGHkLGMUqlXDkD2R3yciXmpYyMebltM+jq3xW1FnkX0yPlOAOZyHncthks\nuX0JXh7zstplSEPGMUqrn0t/dqhxB/oEotxcDouwOL0mmfOSEfNSRsa83PZqItKO4ZuH4/Cjh2E0\nGO0+zkvvhY7eHfHJvnJ8sc/Q6P4bpyo0NXWhpcdYt3NzgQMH2n+/zqpX7f2ePQucOqWdetXe7zff\nAAUFyp4zYwagd+Kv7w5/BrJMdDodXnhBwMcH8PaG7U9fX8DPr/kvLy/n1+aqNN3pde7JCEHq6CMI\nFEaUlQFlZcDVq/V/VlQAdXX1XxYLsEPMxsXU1/Hw/V1huK4f3FhnU3W3x2O4X/eoRYv7ffvttjcD\ne5+BrNlmkJIiYDYDNTWw/VldXf9VVdX469q1+jcT19TH11Hi24khCNuTjSB9CAIDgcBAwGCo/7Nj\nR6BDh/pG7uVV/58hJAR45BHn1kTkjtyyGWiwbFVlZWVJeQUDAPRZ0wdHHzuKEEOI2qXYyJyXjJiX\nMmrlZe+9021PIFuEBZevXVa7DHIQ1yYiUpfbHhmUXCtB2J/DcPkZNgTZ3bbpNnw08yP0DOipdilE\nbs3ee6fbXk1kXZtICMHfOiV35NEjapdA5PHcdpjI28sbvl6+qKypVLsUKch4XXNrfFP8Db69+K3T\nX8dd8nIV5qWMjHm5bTMAuCSFO9p+ZjveOfWO2mUQuR02Aw/hLld6GHwNKK1y/pIU7pKXqzAvZWTM\nS8pmkJmZiaioKISHh2PlypWt3k+IIQTXaq+1Y2WkNoOvAVfNbPBE7U26ZlBdXY3HH38cmZmZOHny\nJN577z2cOHGiVfvaN3sfYnvFtnOF2iTjGKXVT1d+Qp2lzqHHBvkGueTIQOa8ZMS8lJExL+mawZEj\nRxAREYGQkBB06NABM2bMQHp6utplkRMN/dtQXLp2yaHHcuiPyDmkawYmkwl9+/a1bRuNRphMJhUr\ncg8yjlG2Rt+gvhjaZ6jTX8dd8nIV5qWMjHlJN8+gvecEfH/pe9zS9ZZG+5374Vx88sMnjR6/ZfIW\n3Pubexvdzsc77/El10rg6+Xb6DFNGRA8ACvuWYG9uXuRuCOx0f3xN8Xj7fvfbnQ7H8/Hu9PjnUG6\nGciff/45Vq5ciY8//hgAsHr1apjNZvzxj3+0PUan02H27NkIDQ0FAHTu3BmxsbG2bmsdj7tjxB0w\n/JcBmXdmQqfTNbj/avVVDBk+BADwxedfAACGjxyOLn5dcORQ/SQod3r8oexDmPv4XGnquf7xRw8d\nRZBfUKN/P3vb5jozIodFNno9Xy9fnMo+1ebHHz12FA/Pf9hp+3e3x3998ms89uRj0tQj++NzcnKw\nZMmSVu/f0e2srCxs3boVABAaGorly5drZ6G6qqoqDBgwAIcOHUKPHj0wfPhwbNy4EYMGDbI9xtGF\n6r6/9D2G/m0oSp/lp2NxITFlmJcyzEsZGReqk64ZAMCuXbvw9NNPw2KxYNasWXjuueca3O9oM5jz\nzzn4+1d/h1gm3V+RiMjlNLc20YQJEzBhwoQ278fRcWgiIk8n3dVE7WnV2FU488QZtcuQgozXNcuM\neSnDvJSRMS8pjwzaS5BfEIL8gtQug4hIelKeM2gJP+mMiEg5j/ykMyIichybgYeQcYxSZsxLGeal\njIx5sRkQERHPGRAReQqeMyAiIrvYDDyEjGOUMmNeyjAvZWTMi82AiIh4zoCIyFPwnAEREdnFZuAh\nZByjlBnzUoZ5KSNjXmwGRETEcwZERJ6C5wyIiMguNgMPIeMYpcyYlzLMSxkZ82IzICIinjMgIvIU\nPGdARER2sRl4CBnHKGXGvJRhXsrImBebARER8ZwBEZGn4DkDIiKyi83AQ8g4Rikz5qUM81JGxrzY\nDIiIiOcMiIg8Bc8ZEBGRXao0g5SUFBiNRsTFxSEuLg67du2y3bdixQqEh4cjKioKu3fvVqM8tyTj\nGKXMmJcyzEsZGfNSpRnodDokJSXhxIkTOHHiBCZMmAAAOHbsGHbs2IFTp04hMzMTCxYsgNlsVqNE\nt5OTk6N2CZrCvJRhXsrImJdqw0RNjVulp6dj5syZ8PLyQkhICCIiIpCdna1Cde7nypUrapegKcxL\nGealjIx5qdYMNmzYgIEDByIxMRElJSUAgIKCAhiNRttjjEYjTCaTWiUSEXkMpzWDsWPHIioqqtHX\nRx99hCeffBLnzp3DmTNnEBYWhsWLFzurDPqXvLw8tUvQFOalDPNSRsq8hMoKCgrErbfeKoQQ4qWX\nXhKrV6+23Tdx4kRx8ODBRs8JCwsTAPjFL37xi18KvmJiYpp9L+4AFRQVFaFHjx4AgPfffx8REREA\ngISEBCxcuBBLlizBhQsXcPr0aQwbNqzR83/44QeX1ktE5O5UaQa///3vcfLkSZjNZvTr1w+bN28G\nAAwePBhTp05FdHQ09Ho9Nm7cCG9vbzVKJCLyKJqcgUxERO1LczOQMzMzERUVhfDwcKxcuVLtcqQX\nGhqK6OhoxMXFNTnk5unmzZuHnj17IioqynZbSUkJxo4di+joaIwfP17KywDV0lReN04izczMVLFC\nueTn52PUqFGIiopC//79sWrVKgCS/oy19wlhZ6qqqhKhoaHCZDKJmpoaMWTIEHH8+HG1y5JaaGio\nuHTpktplSOvAgQPi+PHjIjIy0nbbokWLxOuvvy6EEOL1118XixcvVqs86TSVV0pKilizZo2KVcnr\nwoUL4tSpU0IIIcrKysQtt9wicnJypPwZ09SRwZEjRxAREYGQkBB06NABM2bMQHp6utplSU9wJLBZ\nI0eORJcuXRrclpGRgVmzZgEAEhMT+TN2nabyAvgz1pyePXsiMjISABAQEIDo6GgUFBRI+TOmqWZg\nMpnQt29f2zYnpbVMp9PZDkfXr1+vdjmaUFxcjG7dugEAgoODUVRUpHJF8mtqEik1lJeXh6NHj2LE\niBFS/oxpqhnodDq1S9Ccw4cP4/jx49izZw/eeustfPbZZ2qXRG6Gk0hbVl5ejunTp2PdunUwGAxq\nl9MkTTUDo9GI/Px823Z+fn6DIwVqzDqfo3v37pg+fTqOHj2qckXy6969Oy5evAig/ijBmiE1LTg4\nGDqdDjqdDgsWLODP2A1qamowbdo0PPzww5gyZQoAOX/GNNUMhg4ditOnT6OgoAA1NTXYtm2bbcVT\naqyyshKVlZUAgIqKCmRmZtom+FHzEhISkJqaCgBITU1FQkKCyhXJ7fohjusnkVL9uZRHHnkE4eHh\nWLp0qe12KX/GVD6BrVhGRoaIiIgQAwcOFK+++qra5Ujtxx9/FNHR0SImJkbccsst4oUXXlC7JOnM\nnDlT9O7dW3h7ewuj0Si2bNkiLl26JO655x4RFRUlxo4dKy5fvqx2mdK4Ma/NmzeLxMREER0dLQYM\nGCDGjx8vTCaT2mVK4/PPPxc6nU7ExMSI2NhYERsbK3bt2iXlzxgnnRERkbaGiYiIyDnYDIiIiM2A\niIjYDIiICGwGREQENgMiIgKbARERgc2A3FhpaSn++7//27Z9/vx5PPDAA+3+Otb1/FNSUtp93y2J\nj49HYGAgjh075vLXJvfCZkBu6/Lly3jjjTds23369MH27dvb/XV0Oh2SkpJUaQb79u3DkCFDuIgj\ntRmbAbmtZ599FufOnUNcXByeeeYZ/PTTT7ZP6Nq6dSumTJmCCRMm4KabbsL69evx2muvYciQIRg0\naJBtEbHvvvsO8fHxiImJwW233Yavv/66yde6fiJ/SkoKZs+ejfj4eISGhmLHjh1ITk5GdHQ07r77\nblRXVwMAnn76aURERCA2NhZJSUkAgAsXLmDSpEmIiYlBbGws9u/fDwAoKyvDzJkzERERgZiYGLz3\n3ntOy408lMrLYRA5TV5eXoNP5MrNzbVtv/XWW+I3v/mNuHbtmiguLhYGg0Fs2rRJCCHE0qVLxerV\nq4UQQgwfPlycPXtWCCHE4cOHxZ133tnodVJSUsRrr71m2162bJkYNWqUsFgs4quvvhL+/v5i9+7d\nQgghpk6dKrZv3y4KCwtFRESE7Tnl5eW2+w8ePCiEEOKnn34SYWFhQgghFi9eLJKTk22PLy0ttX0/\nevRocezYsdbGRCSEEKKD2s2IyFlEC8tuxcfHw8/PD35+fujcubNt5cioqCjk5OTg0qVLOH78eIPz\nDNeuXWvxdXU6He69917odDpERkbCYrFg7Nixtn3n5+ejW7du8Pb2xiOPPIKEhAT8+7//OwDgs88+\nQ25urm1f1dXVuHr1Kvbs2YMPP/zQdrusa+KTdrEZkMfy9fW1fa/X623ber0eFosFQgh0794dJ06c\nULxvHx8f2768vb0bvI7FYoGXlxeOHDmCPXv24P3338eGDRuwd+9e6HQ6HD16FB06NP6v2VJzI2oL\nnjMgt+Xv72/7PAclrG+6wcHB6N69Oz7++GPb7c2dM1CqoqICZWVlmDBhAtasWYPjx48DAO655x68\n+eabtsdZX2/s2LHYuHGj7farV6+2Sx1EVmwG5LZ69uyJ2NhYhIeH45lnnrF9GheABt9bt6//3rqd\nlpaGNWvWIDo6GpGRkQ6fuG1u39btq1ev4t5770VcXBxGjhyJ119/HQDw5ptv4tNPP0VUVBQiIyOx\nbt06AMDLL7+Mn3/+GeHh4YiNjcWePXtakQhR8/h5BkRttHz5cgQEBOD3v/+9Kq8fHx+PNWvWYNCg\nQaq8PrkHHhkQtVFAQAD++te/qjbpLDc3t8F5CaLW4JEBERHxyICIiNgMiIgIbAZERAQ2AyIiApsB\nEREB+P84YbaUtpWtuAAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x2986d90>"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 10.6, Page number: 522"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "w=2*pi*60                               #Angular freq of voltage(rad/sec)\n",
+      "Vo=230*sqrt(2)                          #volt\n",
+      "R=5.6                                   #Resistance(ohm)\n",
+      "\n",
+      "#Calculations:\n",
+      "Ls=[0]*101\n",
+      "tc=[0]*101\n",
+      "Idc=[0]*101\n",
+      "for n in range(1,101,1):\n",
+      "    Ls[n-1]=n*10**-3\n",
+      "    Idc[n-1]=2*Vo/(pi*R+2*w*Ls[n-1])\n",
+      "    tc[n-1]=(1/w)*acos(1-(2*Idc[n-1]*w*Ls[n-1])/Vo)\n",
+      "\n",
+      "#Results:\n",
+      "plot(1000*np.array(Ls),Idc,'g.')\n",
+      "xlabel('Commutating inductance Ls [mH]')\n",
+      "ylabel('Idc [A]')\n",
+      "title('Load current,Idc vs Commutating inductance,Ls')\n",
+      "show()\n",
+      "plot(1000*np.array(Ls),1000*np.array(tc),'g.')\n",
+      "xlabel('Commutating inductance L [mH]')\n",
+      "ylabel('tc [msec]')\n",
+      "title('Commutating Inductance,Ls vs time,tc')\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Populating the interactive namespace from numpy and matplotlib\n"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stderr",
+       "text": [
+        "WARNING: pylab import has clobbered these variables: ['fmod', 'sinh', 'trunc', 'tan', 'gamma', 'cosh', 'radians', 'modf', 'expm1', 'ldexp', 'linalg', 'random', 'frexp', 'ceil', 'isnan', 'copysign', 'cos', 'degrees', 'tanh', 'fabs', 'sqrt', 'hypot', 'power', 'log', 'log10', 'info', 'log1p', 'floor', 'fft', 'pi', 'exp', 'isinf', 'e', 'sin']\n",
+        "`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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ExEQAQGJiIsLDw7UZRoum3oVkZmLGAWci0poGtRCKiopgZmaGNm3aALh9nYSS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\nYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x2c18b90>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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AgAHFlTP4iYiqzayDv8rKGfxERNVm1qdzEhGR+amTs3pqit+0RURUe+rFiJ/f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\nAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x2981fd0>"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 10.7, Page number: 528"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "R=12.5*10**-3                               #ohm\n",
+      "L=1.2                                       #H\n",
+      "Vo=15                                       #volt\n",
+      "w=120*pi                                    #angular freq(Hz)\n",
+      "Idc=35                                      #DC current(A)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#for part (a):\n",
+      "theta=[0]*1301\n",
+      "t=[0]*1301\n",
+      "vL=[0]*1301\n",
+      "vs=[0]*1301\n",
+      "\n",
+      "Vdc_a=R*Idc                                 #Dc voltage(V)\n",
+      "P=Vdc_a*Idc                                 #Power\n",
+      "alpha_da = acos(pi*R*Idc/(2*Vo)) ;    #delay angle\n",
+      "for n in range(1,1301,1):                 #loop for calculating load voltage\n",
+      "    theta[n-1]=2*pi*(n-1)/1000\n",
+      "    t[n-1]=theta[n-1]/w\n",
+      "    vs[n-1]=Vo*sin(theta[n-1])\n",
+      "    if theta[n-1]<alpha_da:\n",
+      "        vL[n-1]=-vs[n-1]\n",
+      "    elif (theta[n-1]<pi+alpha_da):\n",
+      "        vL[n-1]=-vs[n-1]\n",
+      "    elif theta[n-1]<2*pi+alpha_da:\n",
+      "        vL[n-1]=vs[n-1]\n",
+      "    elif theta[n-1]<3*pi+alpha_da:\n",
+      "        vL[n-1]=vs[n-1]\n",
+      "    elif theta[n-1]<4*pi+alpha_da:\n",
+      "        vL[n-1]=-vs[n-1]\n",
+      "    else:\n",
+      "        vL[n-1]=vs[n-1]\n",
+      "\n",
+      "figure(1)\n",
+      "plot(1000*np.array(t),vL,'g.')\n",
+      "xlabel('time [msec]')\n",
+      "ylabel('Load voltage [V]')\n",
+      "grid()\n",
+      "show()\n",
+      "\n",
+      "\n",
+      "#part(b):\n",
+      "alpha_db=0.9*pi                             #delay angle\n",
+      "Vdc_b=(2*Vo/pi)*cos(alpha_db)          #new dc voltage(V)\n",
+      "tau=L/R                                     #time constant(s)\n",
+      "imo=Idc                                     #Initial curent(A)\n",
+      "tzero=-tau*log((-Vdc_b/R)/(imo-Vdc_b/R))\n",
+      "for n in range(1,1301,1):\n",
+      "    theta[n-1]=2*pi*(n-1)/1000\n",
+      "    t[n-1]=theta[n-1]/w\n",
+      "    vs[n-1]=Vo*sin(theta[n-1])\n",
+      "    if theta< alpha_db:\n",
+      "        vL[n-1]=-vs[n-1]\n",
+      "    elif (theta[n-1]<pi+alpha_db):\n",
+      "        vL[n-1]=vs[n-1]\n",
+      "    elif theta[n-1]<2*pi+alpha_db:\n",
+      "        vL[n-1]=-vs[n-1]\n",
+      "    elif theta[n-1]<3*pi+alpha_db:\n",
+      "        vL[n-1]=vs[n-1]\n",
+      "    elif theta[n-1]<4*pi+alpha_db:\n",
+      "        vL[n-1]=-vs[n-1]\n",
+      "    else:\n",
+      "        vL[n-1]=vs[n-1]\n",
+      "\n",
+      "#Results:\n",
+      "figure(2)\n",
+      "plot (1000*np.array(t), vL,'g.')\n",
+      "xlabel('time [msec] ')\n",
+      "ylabel('Load voltage [V]')\n",
+      "print \"part (a):\"\n",
+      "print \"\\n Vdc_a=\",round(1000*Vdc_a,2),\"mV\"\n",
+      "print \"\\n Power=\",round(P),\"W\"        \n",
+      "print \"\\n alpha_d=\",round((180/pi)*alpha_da,1),\"degrees\"\n",
+      "print \"\\n part (b):\"\n",
+      "print \"\\n alpha_d=\",round((180/pi)*alpha_db,1),\"degrees\"   \n",
+      "print \"\\n Vdc_b=\",round(Vdc_b,1),\"V\"\n",
+      "print \"\\n Current will reach zero at\",round(tzero,1),\"sec\"\n",
+      "grid()\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Populating the interactive namespace from numpy and matplotlib\n"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stderr",
+       "text": [
+        "WARNING: pylab import has clobbered these variables: ['fmod', 'cosh', 'sinh', 'trunc', 'tan', 'gamma', 'degrees', 'radians', 'sin', 'expm1', 'ldexp', 'isnan', 'frexp', 'ceil', 'copysign', 'cos', 'tanh', 'fabs', 'sqrt', 'hypot', 'log', 'log10', 'pi', 'log1p', 'floor', 'modf', 'exp', 'isinf', 'e']\n",
+        "`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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0J06fPo0NGzaYfZ0gCHjppZcQGxsLANDr9UhNTTXOh279l0NGRgb07+hx9Z9X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\nhNj0/wELMsFZawmOEgAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x1e16bd0>"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "part (a):\n",
+        "\n",
+        " Vdc_a= 437.5 mV\n",
+        "\n",
+        " Power= 15.0 W\n",
+        "\n",
+        " alpha_d= 87.4 degrees\n",
+        "\n",
+        " part (b):\n",
+        "\n",
+        " alpha_d= 162.0 degrees\n",
+        "\n",
+        " Vdc_b= -9.1 V\n",
+        "\n",
+        " Current will reach zero at 4.5 sec\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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jOp0OL730EsrLy1FeXm4XIIg20Cwn/8gpzEFmQSayP8722XRVmuWkLi6DxIYN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\n
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/.ipynb_checkpoints/chapter3-checkpoint.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/.ipynb_checkpoints/chapter3-checkpoint.ipynb
new file mode 100755
index 00000000..22fca9a1
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/.ipynb_checkpoints/chapter3-checkpoint.ipynb
@@ -0,0 +1,460 @@
+{
+ "metadata": {
+  "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 3: Electromechanical-Energy-Conversion-Principles "
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.1, Page number: 114"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "from sympy import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "I=10                            #current in the coil(A)\n",
+      "Bo=0.02                         #magnetic field (T)\n",
+      "R=0.05                          #radius of the rotor(m)\n",
+      "l=0.3                           #rotor length(m)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "q=symbols('q')                  #Direction of torque\n",
+      "F1=-2*I*l*Bo*sin(q)             #Force on the coil(N)\n",
+      "T=F1*R                          #Torque scting in theta direction(Nm)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Force per unit length:\",T,\"Nm\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Force per unit length: -0.006*sin(q) Nm\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.2, Page number: 121"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "\n",
+      "\n",
+      "#Variable declaration\n",
+      "N=1000                   #No of winding turns\n",
+      "g=2                      #Air gap width(mm)\n",
+      "d=0.15                  #Magnetic core width,d (m)\n",
+      "l=0.1                    #thickness of core(0.1)\n",
+      "x,d=symbols('x d')       #where h is height of plunger(m) \n",
+      "                         #Lx is inductance as a function of x(H)\n",
+      "i=10                     #Current in the winding(A)\n",
+      "uo=4*3.14*10**-7           #permeability of free space(H/m)\n",
+      "\n",
+      "#Calculations:\n",
+      "Lx=(uo*N**2*l*d)/(2*g*10**-3)*(1-x/d)\n",
+      "Wfld=(1./2)*Lx*i**2\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The magnetic energy stored, Wfld:\",\"236*(1-x/d) J\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The magnetic energy stored, Wfld: 236*(1-x/d) J\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.3, Page number: 124"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "import numpy as np\n",
+      "\n",
+      "#Variable declaration:\n",
+      "xdata=[0.0, 0.2, 0.4, 0.6, 0.8, 1.0, 1.2, 1.4, 1.6, 1.8, 2.0]     #(cm)\n",
+      "Ldata=[2.8, 2.26, 1.78, 1.52, 1.34, 1.26, 1.20, 1.16, 1.13, 1.11, 1.10]   #(mH)\n",
+      "I = 0.75                                                #(A)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "x=0.01*np.array(xdata)\n",
+      "L=0.001*np.array(Ldata)\n",
+      "length=len(x)\n",
+      "xmax=x[length-1]\n",
+      "a=polyfit(x,L,4)\n",
+      "xfit=[0]*102\n",
+      "Lfit=[0]*102\n",
+      "for n in range(1,102,1):\n",
+      "    xfit[n-1]=xmax*(n-1)/100\n",
+      "    Lfit[n-1]=a[0]*xfit[n-1]**4+a[1]*xfit[n-1]**3+a[2]*xfit[n-1]**2+a[3]*xfit[n-1]+a[4]\n",
+      "\n",
+      "#Plot the data and then the fit to compare (convert xfit to cm and Lfit to mH)\n",
+      "plot(xdata,Ldata,'o')\n",
+      "plot(100*np.array(xfit),1000*np.array(Lfit),'g.')\n",
+      "xlabel('x [cm] ')\n",
+      "ylabel('L [mH] ')\n",
+      "title('Inductance,L vs length,l')\n",
+      "grid()\n",
+      "print \"The required plots are shown below:\"\n",
+      "show()\n",
+      "\n",
+      "#set current to 0.75 A\n",
+      "I=0.75\n",
+      "F=[0]*102\n",
+      "for n in range(1,102,1):\n",
+      "    xfit[n-1]=0.002+0.016*(n-1)/100\n",
+      "    F[n-1]=4*a[0]*xfit[n-1]**3+3*a[1]*xfit[n-1]**2+2*a[2]*xfit[n-1]**1+a[3]\n",
+      "    F[n-1]=(I**2/2)*F[n-1]\n",
+      "plot(100*np.array(xfit),F,'b.')\n",
+      "xlabel('x  [cm]')\n",
+      "ylabel('Force [N]')\n",
+      "title('Force, F vs length,l')\n",
+      "grid()\n",
+      "\n",
+      "#Results:\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Populating the interactive namespace from numpy and matplotlib\n",
+        "The required plots are shown below:"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stderr",
+       "text": [
+        "WARNING: pylab import has clobbered these variables: ['Polygon', 'poly', 'sign', 'flatten', 'conjugate', 'diff', 'tan', 'Circle', 'roots', 'plot', 'eye', 'trace', 'floor', 'diag', 'invert', 'nan', 'sqrt', 'source', 'add', 'zeros', 'take', 'var', 'pi', 'plotting', 'product', 'seterr', 'power', 'multinomial', 'transpose', 'test', 'beta', 'ones', 'sinh', 'vectorize', 'cosh', 'trunc', 'cos', 'prod', 'tanh', 'mod', 'det', 'sin', 'binomial', 'solve', 'log', 'exp', 'reshape', 'gamma', 'interactive']\n",
+        "`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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PRP/rjv3mZD0B9bu/LN39pZwVcHwahqd/geK6r0xOLrrXjn6K8EfMm8UY9Vsa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\nYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x3dc9590>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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dqL29Z9qL01xEQ4fL353CCTExMXbbYmNjnXmqQ+fOnRP33nuviI2NFSkpKeL8\n+fNCCCEaGhqETqez9tu9e7eIjo4WU6dOFS+++KLD15o8ebI4d+6cw8ec/Hh0nexsIebOFUKrFeIf\n/zVCCCEqKyvlGpJPYjylw1hKy9XvTqemvPz9/bF//37MmjULAPDpp5/C39/129GPHz/e4ZTYrbfe\nanMml1arhVarveFrnTx50uVxkGO96ybLl/P0YCJyjlNTXgcPHkRmZiY6OzsBAKNGjcK2bduQlJTk\n9gEOBqe8XMMrCBMNbW65fP23336L2267zdq2nN7rqPitREwoA2M5RXj4cCAwENi6lcmEaChyy8LG\n+fPnW39PT09HSEiI1yQTGrj+7glvOSuEpMF4SoexVAanLxnMWoXv40p4IhqMG055JSQkoKamxu53\nb8Epr4HhKcJEBLiphuLn52e9zW9HRwdGjRpl84YXL150Yaiew4TSP94si4iu55YaytWrV3Hp0iVc\nunQJV65csf5+6dIlxScTcs5AbpbFeWppMZ7SYSyVgbddHOJYNyEiqTi1DsVbccrLsd7TXJs2Abm5\nrJsQ0TWufne6vtydvFbvlfC5uVwJT0TS4JTXEOTqNBfnqaXFeEqHsVQGJpQhaMeOnlv48rIqRCQl\n1lCGEJ4iTETOcOs95ck3DOQUYSKigWJCGUIGe4ow56mlxXhKh7FUBiaUIYS1EyJyJ1kSSltbG1JS\nUhAXF4fU1FS0t7c77GcwGBAbG4uoqCgUFRVZt7/wwgvQaDRISEhAQkICDAaDp4budZYvB5KTe+5x\nAvScIuxqMul9L3QaPMZTOoylMsiSUPLz85GWloba2lpotVrk5+fb9enq6kJOTg4MBgNqa2tRVlZm\nvTilSqXCM888g5qaGtTU1OD+++/39EfwGqybEJGnyJJQdu/ejczMTADAkiVLbG77a3HgwAFER0cj\nLCwM/v7+yMjIsOnHs7ecI+WlVThPLS3GUzqMpTLIklBaWloQFBQEAAgODrbeCbI3k8mE8PBwa1uj\n0cBkMlnb//Ef/4GpU6diyZIlaGtrc/+gvRTrJkTkKW679EpKSgqamprsthcWFjr1fJVK1edjv/rV\nr/D8888D6KmnPPHEEygtLXXYNysrCxEREQAAtVqN+Ph463yr5a8aX2vv2JGMY8eAjg4jfvMbQK+X\n5vUt2+T+fL7StmxTyni8uZ2cnKyo8Xhb22g0oqSkBACs35eukGVhY2RkJA4cOIDg4GC0tLRg5syZ\nOH78uE0+olbsAAAPXUlEQVSfffv2oaioCLt27QIAvPTSS7h8+TJWr15t06+xsRE/+tGPcPToUbv3\nGaoLG5OTr12ra+FCXquLiAbGqxY26nQ66xFFaWkpdJZTkHpJSkpCXV0dGhoaYDabodfrodVqAcBm\niuydd95BdHS0ZwbuJdx1SXrLXzQkDcZTOoylMshyteE1a9YgIyMDf/rTnxAaGgr9P/6EbmxsRHZ2\nNsrLyxEQEIBNmzYhNTUV3d3dyMzMRGJiIgDg2WefRW1tLS5fvoxJkybhjTfekONjKNaOHbyVLxF5\nHq/l5SN4nS4ikopXTXmR9LjehIjkxoTiIzxxK1/OU0uL8ZQOY6kMTCg+gutNiEhurKF4OdZOiEhq\nrKEMUaydEJFSMKF4OU/UTiw4Ty0txlM6jKUyMKF4OdZOiEgpWEPxQqybEJE7sYYyhLBuQkRKxITi\nhTxZN+mN89TSYjylw1gqAxOKF2LdhIiUiDUUL8G6CRF5CmsoPo51EyJSOiYULyFX3aQ3zlNLi/GU\nDmOpDEwoXoJ1EyJSOtZQiIjIhlfVUNra2pCSkoK4uDikpqaivb3dYT+DwYDY2FhERUWhqKjI5rFX\nX30V06ZNQ2xsLHJzcz0xbFksX95zj3idDugjTEREiiBLQsnPz0daWhpqa2uh1WqRn59v16erqws5\nOTkwGAyora1FWVkZampqAADl5eX44IMPcOjQIXzxxRf49a9/7emP4DFKKsZznlpajKd0GEtlkCWh\n7N69G5mZmQCAJUuWoLy83K7PgQMHEB0djbCwMPj7+yMjI8Pa7z//8z+xcuVK+Pv7AwCCgoI8N3gP\nU0IxnojIGbIklJaWFmsSCA4ORnNzs10fk8mE8PBwa1uj0cBkMgEAjh49ig8++ADx8fGYOXMm9u/f\n75mBy0BJxfjk5GR5B+BjGE/pMJbK4O+uF05JSUFTU5Pd9sLCQqeer1KpbNq9C0Td3d24dOkSDh8+\njM8//xzp6en45ptv7J4DAFlZWYiIiAAAqNVqxMfHW3c+y2Gy0to7diTj2DGgo8OI3/wG0OuVNT62\n2Wbbt9pGoxElJSUAYP2+dImQwZQpU0RLS4sQQojm5mYRGRlp16eqqkqkpaVZ28XFxaKgoEAIIcS8\nefOE0Wi0PhYZGSnOnDlj9xoyfbxBmztXCKDnZ+FCuUdzTWVlpdxD8CmMp3QYS2m5+t0py5SXTqdD\naWkpAKC0tBQ6nc6uT1JSEurq6tDQ0ACz2Qy9Xg+tVgsASEtLw4cffggAOHbsGH744QeEhIR47gO4\nGesmROSNZFmH0tbWhoyMDJw9exahoaHQ6/VQq9VobGxEdna2tfheUVGB3NxcdHd3IzMzE6tWrQIA\nmM1mPProo9azvl5++WXcd999du/jretQ2tt7zujaskX+ugkRDT2ufndyYSMREdnwqoWNZM8bFjBa\ningkDcZTOoylMjChKISSFjASEbmCU14KodP1JJPp05Wx5oSIhi7WUBzwpoTCQjwRKQVrKF5OrQb0\nemUnE85TS4vxlA5jqQxMKDLzhmI8EZEzOOUls+TknmI80HPNLr1e1uEQEXHKy1txVTwR+QomFJkp\n6WrC/eE8tbQYT+kwlsrgtqsNU9+WL+9ZdzJ6dE9C4TQXEfkC1lBkwLoJESkZayhehHUTIvJFTCgy\n8Ka6SW+cp5YW4ykdxlIZWEORgWURIxGRL2ENxUOuL8R705EJEQ0trKEoHK8mTES+TpaE0tbWhpSU\nFMTFxSE1NRXtfVxzxGAwIDY2FlFRUSgqKrJuf/jhh5GQkICEhARMnjwZCQkJnhq6y3yhEM95amkx\nntJhLJVBloSSn5+PtLQ01NbWQqvVIj8/365PV1cXcnJyYDAYUFtbi7KyMustf9966y3U1NSgpqYG\n6enpSE9P9/RHGDBvLcQTETlLlhpKZGQkDh48iKCgILS2tmLGjBk4fvy4TZ+qqioUFxdj165dAIB1\n69ahs7MTeXl51j5CCEyaNAmVlZWIjIy0ex8l1VCIiLyFV9VQWlpaEBQUBAAIDg5Gc3OzXR+TyYTw\n8HBrW6PRwGQy2fTZt28fJkyY4DCZKAWvJkxEQ4XbThtOSUlBU1OT3fbCwkKnnq9Sqfrts3PnTixe\nvPiGfbKyshAREQEAUKvViI+PR3JyMoBr867ubB88CBw50tNesMCIF15w7/u5s/3KK694PH6+3GY8\npWv3rqEoYTze1jYajSgpKQEA6/elS4QMpkyZIlpaWoQQQjQ3N4vIyEi7PlVVVSItLc3aLi4uFgUF\nBda22WwWEyZMEA0NDX2+j0wfz4ZWKwQgxPTpQpw/L/doBqeyslLuIfgUxlM6jKW0XP3ulGXKS6fT\nobS0FABQWloKnU5n1ycpKQl1dXVoaGiA2WyGXq+HVqu1Pr53715MnToVt956q8fG7QpfKsZb/rIh\naTCe0mEslUGWonxbWxsyMjJw9uxZhIaGQq/XQ61Wo7GxEdnZ2SgvLwcAVFRUIDc3F93d3cjMzMSq\nVausr7F06VLMnDkTy2+wqINFeSKigXP1u5Mr5clpRqORfwlKiPGUDmMpLa86y4uIiHwPj1CIiMgG\nj1CIiEhWTCjktN7n+tPgMZ7SYSyVgQmFiIgkwRoKERHZYA2FiIhkxYRCTuM8tbQYT+kwlsrAhEJE\nRJJgDYWIiGywhkJERLJiQiGncZ5aWoyndBhLZWBCISIiSbCGQkRENlhDISIiWcmSUNra2pCSkoK4\nuDikpqaivb3dYT+DwYDY2FhERUWhqKjIuv2TTz5BfHw8YmJiMG3aNOzfv99TQx/SOE8tLcZTOoyl\nMsiSUPLz85GWloba2lpotVrk5+fb9enq6kJOTg4MBgNqa2tRVlaGmpoaAMDKlStRVFSEuro6rF27\nFitXrvT0RxiSDh8+LPcQfArjKR3GUhlkSSi7d+9GZmYmAGDJkiXWW/72duDAAURHRyMsLAz+/v7I\nyMiw9gsPD8eFCxcAAO3t7Zg0aZLnBj+E9XUkSa5hPKXDWCqDvxxv2tLSgqCgIABAcHAwmpub7fqY\nTCaEh4db2xqNxnpYu3btWsyePRvPPfccuru78emnn3pk3ERE1De3JZSUlBQ0NTXZbS8sLHTq+SqV\nyqbd+4yDZcuWYePGjXjwwQfx9ttv49FHH8WePXsGN2Dq1+nTp+Uegk9hPKXDWCqEkMGUKVNES0uL\nEEKI5uZmERkZadenqqpKpKWlWdvFxcWioKBACCHETTfdZN3e3d1t0+4tMjJSAOAPf/jDH/4M4MfR\nd7IzZJny0ul0KC0txVNPPYXS0lLodDq7PklJSairq0NDQwNCQkKg1+uxefNmAMCkSZPw0UcfYe7c\nufjwww8xefJkh+9z/Phxt34OIiK6RpaFjW1tbcjIyMDZs2cRGhoKvV4PtVqNxsZGZGdnW4vvFRUV\nyM3NRXd3NzIzM7Fq1SoAwP79+/HYY4/BbDZj5MiReP3113HXXXd5+mMQEVEvPr1SnoiIPMcnVsr3\ntQCytyeeeALR0dFITEy0rmchx/qLp9FoxM0334yEhAQkJCSgoKBAhlF6h0cffRQTJkxAbGxsn324\nbzqnv1hyvxyY+vp63HPPPYiNjcU///M/o7i42GG/Ae2fLlVeFKSzs1NEREQIk8kkzGazmD59uqiu\nrrbpU1ZWJubPny+EEKK6ulpMmzZNjqF6BWfiWVlZKR544AGZRuhdqqqqRHV1tYiJiXH4OPdN5/UX\nS+6XA9PU1CS++OILIYQQly5dErfffrs4fPiwTZ+B7p9ef4RyowWQFr0XUiYkJODKlSswmUxyDFfx\nnIknAF5000lz5szBuHHj+nyc+6bz+oslwP1yICZMmICYmBgAQGBgIOLi4tDY2GjTZ6D7p9cnFEcL\nIK//wM70oR7OxEqlUuHTTz9FbGws5s2bhyNHjnh6mD6D+6Z0uF+67vTp0/j8888xe/Zsm+0D3T9l\nOW1YStcvgOzL9X+5OPu8ocaZuNx5550wmUwICAjAX//6VyxYsACnTp3ywOh8E/dNaXC/dM13332H\nhQsXYsOGDRgzZozd4wPZP73+CEWj0aC+vt7arq+vt8mojvqYTCZoNBqPjdGbOBPPwMBABAQEAADu\nu+8+jBgxwuFVEah/3Delw/1y4MxmM9LT07F48WIsWLDA7vGB7p9en1B6L4A0m83Q6/XQarU2fXQ6\nHbZv3w4AqK6uhp+fH8LCwuQYruI5E8/W1lbr74cOHcL333+PkJAQTw/VJ3DflA73y4ERQmDZsmWI\niorC008/7bDPQPdPr5/yCggIwKZNm5CammpdAJmYmGhdVb9ixQqkp6ejsrIS0dHRGDlyJLZu3Srz\nqJXLmXju3LkTW7ZsAQCMGDECO3bswLBhXv+3iVssWrQIH330EVpbWxEeHo41a9bAbDYD4L45UP3F\nkvvlwHzyyScoLS1FXFwcEhISAAAvvvgivv32WwCu7Z9c2EhERJJg+iYiIkkwoRARkSSYUIiISBJM\nKEREJAkmFCIikgQTChERSYIJhYiIJMGEQuQBfn5+SExMxJkzZwb9Wr/4xS8QFBSEd955R4KREUnH\n61fKE3mD0aNHo7q6WpLX2r59O5YuXcqLSJLi8AiFaIA+//xzTJs2DV1dXfj+++8RExODr776akCv\n8Ze//MV6yYt58+YBAF544QU88sgj+NGPfoSIiAj8z//8D5577jnExcVh3rx56OrqsnkNXuSClIZH\nKEQDlJSUhJ/+9KfIy8tDR0cHMjMzERUV5fTzz5w5g5ycHPzv//4vwsLCcPHiRetjp0+fhtFoxBdf\nfIEZM2bg3Xffxbp16/DQQw/h/fffx89+9jN3fCQiSTChELng+eefx/Tp0zFq1Ci8+uqrA3ruxx9/\njHvvvdd61daxY8cC6LnPxP333w+VSoWYmBh0d3cjJSUFABAbG2tzGXEiJeKUF5ELWltb8f333+O7\n775DR0fHgJ6rUqn6nK4aMWIEAGDYsGEYPny4dfuwYcPQ3d3t+oCJPIAJhcgFK1asQEFBARYvXoyV\nK1cO6LmzZ8/Ghx9+aL2Vant7uzuGSORxnPIiGqA333wTI0eOxMMPP4zu7m7MmjULRqMRycnJTj0/\nNDQUr732Gu6//34MHz4cwcHB2LNnDwDb26tefxYXz+oipeP9UIg8YMyYMbh06ZJkr5eVlYUHHngA\n6enpkr0m0WBxyovIA8aOHSvpwsZ9+/Zh1KhREoyMSDo8QiEiIknwCIWIiCTBhEJERJJgQiEiIkkw\noRARkSSYUIiISBL/D5upbph/P2HSAAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x48a36d0>"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.4, Page number: 128"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Lo=10.6*10**-3                          #Initial inductance(H)\n",
+      "L2=2.7*10**-3                           #H\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "theta,i=symbols('theta i')\n",
+      "L=Lo+L2*cos(2*theta)\n",
+      "i=2                                     #Coil current,A\n",
+      "def T(theta):\n",
+      "    return i**2*diff(L,theta)/2\n",
+      "                                    \n",
+      "\n",
+      "#Results:\n",
+      "print \"Torque,Tfld =\",T(theta),\" N.m\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Torque,Tfld = -0.0108*sin(2*theta)  N.m\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.6, Page number: 134"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration:\n",
+      "r1=2.5*10**-2                            #radius of rotor(m)\n",
+      "h=1.8*10**-2                             #Axial length(m)\n",
+      "g=3*10**-3                               #Air gap length(m)\n",
+      "Bag=1.65                                #Magnetic field(T)\n",
+      "uo=4*pi*10**-7                          #permeability of free space(H/m)\n",
+      "\n",
+      "#Calculations:\n",
+      "H=Bag/uo\n",
+      "Ni=2*g*H\n",
+      "T=uo*(Ni)**2*h*(r1+0.5*g)/(4*g)\n",
+      "\n",
+      "#Results:\n",
+      "print \"The maximum torque:\", round(T,2),\"Nm\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The maximum torque: 3.1 Nm\n"
+       ]
+      }
+     ],
+     "prompt_number": 29
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.7, Page number: 140"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "from matplotlib import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "i1=0.8\n",
+      "i2=0.01\n",
+      "\n",
+      "\n",
+      "#Calculations & Results:\n",
+      "def df(f,x,h=0.1e-10):\n",
+      "    return ( f(x+h/2) - f(x-h/2) )/h\n",
+      "\n",
+      "\n",
+      "\n",
+      "def l11(x):\n",
+      "    return (3+cos(2*x))/1000.0\n",
+      "\n",
+      "def l12(x):\n",
+      "    return (0.3*cos(x))\n",
+      "\n",
+      "def l22(x):\n",
+      "    return (30+10*cos(2*x))\n",
+      "\n",
+      "def g(x):\n",
+      "    return ((i1**2)/2)*df(l11,x) + ((i2**2)/2)*df(l22,x) + (i1*i2)*df(l12,x)\n",
+      "\n",
+      "def r(x):\n",
+      "    return ((i1**2)/2)*df(l11,x) + ((i2**2)/2)*df(l22,x)\n",
+      "def s(x):\n",
+      "    return (i1*i2)*df(l12,x)\n",
+      "\n",
+      "x=linspace(-pi,pi,100000)\n",
+      "\n",
+      "\n",
+      "plot(x,r(x))\n",
+      "plot(x,s(x))\n",
+      "plot(x,g(x))\n",
+      "grid()\n",
+      "annotate(\"Total torque\",xy=(-0.5,0.003))\n",
+      "annotate(\"Reluctance torque\",xy=(-2,-0.0015))\n",
+      "annotate(\"Mutual Interaction torque\",xy=(1.6,-0.0026))\n",
+      "xlabel(\"Theta [radians]\")\n",
+      "ylabel(\"Torque [N.m]\")\n",
+      "xlim(-pi,pi)\n",
+      "\n",
+      "\n",
+      "#Results\n",
+      "print \"Tfld = -1.64*10**-3*sin(2*x)- 2.4*10**-3*sin(x)\"\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Populating the interactive namespace from numpy and matplotlib\n",
+        "Tfld = -1.64*10**-3*sin(2*x)- 2.4*10**-3*sin(x)"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stderr",
+       "text": [
+        "WARNING: pylab import has clobbered these variables: ['vectorize', 'prod', 'plotting', 'Circle', 'diag', 'sinh', 'trunc', 'plot', 'eye', 'det', 'tan', 'product', 'gamma', 'roots', 'sin', 'zeros', 'cosh', 'interactive', 'conjugate', 'take', 'trace', 'beta', 'exp', 'ones', 'multinomial', 'cos', 'transpose', 'solve', 'diff', 'invert', 'pi', 'tanh', 'Polygon', 'reshape', 'sqrt', 'floor', 'source', 'add', 'poly', 'mod', 'sign', 'power', 'binomial', 'log', 'var', 'seterr', 'flatten', 'nan', 'test']\n",
+        "`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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0ZnpWOnrt7QWbujZY03ONMnaoQsGmm969A/z8NAhTtWgRi3W1bp3OZRbRH/fv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\ngQFWOK/Ic16Ivyl1FOgHGBYWhrCwMOV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Z/fnnn0REtHnzZhozZgwREbm7u9MPP/yQp/7T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\ns/T/jVWB3070t1UAAAAASUVORK5CYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x3dbe950>"
+       ]
+      }
+     ],
+     "prompt_number": 6
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.9, Page number: 148"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "\n",
+      "#Variable declaration:\n",
+      "W=4.0*10**-2                            #width of plunger lower arm(m)\n",
+      "W1=4.5*10**-2                           #width of plunger upper arm(m)\n",
+      "D=3.5*10**-2                            #depth of plunger (m)\n",
+      "d=8*10**-3                              #length of magnet(m)\n",
+      "go=1*10**-3                             #air gap length(m)\n",
+      "uo=4*pi*10**-7                          #Permeability of free space(A.turns/m)\n",
+      "ur=1.06*uo                              #Relativity permeability\n",
+      "Hc1=-940                                #Magnetising force(kA/m)\n",
+      "Bt=1.25                                 #Magnetic field induction(T)\n",
+      "N=1500                                  #No of turns\n",
+      "x=3*10**-3                              #Position of plunger(m)\n",
+      "\n",
+      "#Calculation:\n",
+      "Ni=-Hc1*d*10**3\n",
+      "Rx=x/(uo*W1*D)\n",
+      "Ro=go/(uo*W*D)\n",
+      "Rm=d/(ur*W*D)\n",
+      "f=-((Ni)**2)/(uo*W1*D*(Rx+Ro+Rm)**2)\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The x-directed force:\",round(f,1),\"N\"\n",
+      "print \"Current in the excitation winding:\",round(Ni/N,2),\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The x-directed force: -703.3 N\n",
+        "Current in the excitation winding: 5.01 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 31
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/.ipynb_checkpoints/chapter5-checkpoint.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/.ipynb_checkpoints/chapter5-checkpoint.ipynb
new file mode 100755
index 00000000..3f99f735
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/.ipynb_checkpoints/chapter5-checkpoint.ipynb
@@ -0,0 +1,609 @@
+{
+ "metadata": {
+  "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 5: Synchronous Machines"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.1, Page number: 254"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "import cmath\n",
+      "\n",
+      "#Varaible Declaration:\n",
+      "pf=0.95                                 #Lagging power factor\n",
+      "Vl=460                                  #Terminal voltage(V)\n",
+      "I=120                                   #Terminal current(A)\n",
+      "If=47                                   #Field current(A)\n",
+      "X=1.68j                                 #Line syncchronous reactance(ohm)\n",
+      "\n",
+      "\n",
+      "#Calculation:\n",
+      "#Choosing motor reference direction:\n",
+      "Va=Vl/math.sqrt(3)\n",
+      "theta=math.acos(0.95)\n",
+      "Ia=I*cmath.exp(-theta*1j)\n",
+      "Eaf=Va-X*Ia\n",
+      "wc=120*math.pi\n",
+      "Laf=math.sqrt(2)*abs(Eaf)/(wc*If)\n",
+      "P=3*Va*Ia*pf\n",
+      "\n",
+      "#Results:\n",
+      "print \"Generated emf:\",round(abs(Eaf),1),\"V line to line\"\n",
+      "print \"Fied to armature mutual inductance:\",round(Laf*1000,1),\"mH\"\n",
+      "print \"Three phase power:\",round(abs(P/1000),1),\"kW or\",round(abs(P)/746),\"hp\"\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Generated emf: 278.8 V line to line\n",
+        "Fied to armature mutual inductance: 22.3 mH\n",
+        "Three phase power: 90.8 kW or 122.0 hp\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.2, Page number: 255"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import cmath \n",
+      "from math import *\n",
+      "\n",
+      "#Variable Declaration:\n",
+      "Pin=90.6*10**3                              #Input power(kW)\n",
+      "Va=265.6                                    #Terninal voltage(V)\n",
+      "X=1.68j                                     #Synchronous reactance(ohm)\n",
+      "Laf=22.3*10**-3                             #Mutual inductance(H)\n",
+      "wc=120*pi                                   #Angular frequency(rad/sec)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "Ia=Pin/(3*Va)\n",
+      "Eaf=Va-X*Ia\n",
+      "delta=degrees(cmath.phase(Eaf))\n",
+      "I=sqrt(2)*Eaf/(wc*Laf)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print\"The phase angle,delta:\",round(delta,1),\"degrees\"\n",
+      "print\"Required field current:\",round(abs(I),2),\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The phase angle,delta: -35.7 degrees\n",
+        "Required field current: 55.04 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.3, Page number: 257"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Eafl=13.8*10**3                             #Open circuit voltage(V)\n",
+      "If1=318                                     #Field current(A)\n",
+      "If2=263                              #Field current after extrapolation(A)\n",
+      "wc=120*pi                            #Angular frequency(Hz)\n",
+      "\n",
+      "#Calculations:\n",
+      "Eaf=Eafl/sqrt(3)\n",
+      "La1=sqrt(2)*Eaf/(wc*If1)\n",
+      "La2=sqrt(2)*Eaf/(wc*If2)\n",
+      "\n",
+      "#Results:\n",
+      "print \"Saturated Laf1:\",round(La1*1000,0),\"mH\"    \n",
+      "print \"Unsaturated Laf1:\",round(La2*1000,0),\"mH\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Saturated Laf1: 94.0 mH\n",
+        "Unsaturated Laf1: 114.0 mH\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.4, Page number: 262"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Ia=[118, 152]                     #Armature current from SC Characteristics(A)\n",
+      "If=[2.20, 2.84]                     #Field current from SC Characteristics(A)\n",
+      "Vll=220                             #Line-to-line Voltage(V)\n",
+      "V=202                               #Line-to-line air voltage(V) \n",
+      "P=45*10**3                          #Power roted to motor(W)   \n",
+      "Is_sc=1                             #per unit rated current(A)\n",
+      "\n",
+      "#Calculations:\n",
+      "Va_ag=V/sqrt(3)                 #At field current of 2.20A,at air gap,(V)\n",
+      "Ia_ag=Ia[0]\n",
+      "Xs_u=Va_ag/Ia_ag\n",
+      "Ia_rated=P/(sqrt(3)*Vll)\n",
+      "Xa_g=Va_ag/1\n",
+      "Xs_u_pu=Va_ag/Is_sc\n",
+      "Xs=Vll/(Ia[1]*sqrt(3))\n",
+      "Ia_pu=Ia[1]/Ia[0]\n",
+      "SCR=If[1]/If[0]\n",
+      "Xs=1/SCR\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"'All quantities are in per unit values'\"\n",
+      "print\"Unsaturated value of synchronous reactance:\",round(Xs_u,3),\"ohm\"\n",
+      "print \"Satureted value of synchronous reactance: \",round(Xs,3),\"ohm\"\n",
+      "print\"Short circuit ratio:\",round(SCR,3)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "'All quantities are in per unit values'\n",
+        "Unsaturated value of synchronous reactance: 0.988 ohm\n",
+        "Satureted value of synchronous reactance:  0.775 ohm\n",
+        "Short circuit ratio: 1.291\n"
+       ]
+      }
+     ],
+     "prompt_number": 6
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.5, Page number: 265"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration:\n",
+      "P_rated=45*10**3                        #Rated power(KV)\n",
+      "Pl=1.80*10**3                           #Short circuit load loss(W)\n",
+      "Ia_pu=1                                    #Per unit armature current\n",
+      "Ia=118                                  #rated armature current(A)\n",
+      "Ra_dc=0.0335                            #Dc resistance(ohm/phase)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "Pl_pu=Pl/P_rated    \n",
+      "Ra_eff1=Pl_pu/Ia_pu**2                      #in per unit basis\n",
+      "Ra_eff2=Pl/(3*(Ia)**2)\n",
+      "\n",
+      "#Results:\n",
+      "print \"Armature resistance in per unit:\",round(Ra_eff1,3),\"per unit\" \n",
+      "print \"Armature resistance in ohms/phase:\", round(Ra_eff2,3),\"ohms/phase\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Armature resistance in per unit: 0.04 per unit\n",
+        "Armature resistance in ohms/phase: 0.043 ohms/phase\n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.6, Page number: 269"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "import cmath\n",
+      "import math\n",
+      "\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Veq=1.0                                 #Externalsupply(p.u)                                    \n",
+      "Eaf=1.0                                 #Internal voltage(p.u)\n",
+      "Xeq=0.23                                #Eqv.resistance of external system(p.u)\n",
+      "Xs=1.35                                #Saturated synchronous reactance(p.u)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#for part (a):\n",
+      "P_max=Eaf*Veq/(Xs+Xeq)\n",
+      "\n",
+      "\n",
+      "#for part (b):\n",
+      "delta=[0]*500\n",
+      "Ia=[0]*500\n",
+      "Va=[0]*500\n",
+      "degree=[0]*500\n",
+      "for n in range(1,101,1):\n",
+      "    delta[n-1]=(pi/2)*(n-1)/100\n",
+      "    Ia[n-1] = (Eaf *exp(1j*delta[n-1]) - Veq)/(1j*(Xs + Xeq))\n",
+      "    Va[n-1] = abs(Veq + 1j*Xeq*Ia[n-1])\n",
+      "    degree[n-1]=180*delta[n-1]/pi\n",
+      "plot(degree,Va,'r.')\n",
+      "xlabel('Power angle,delta(degrees)')\n",
+      "ylabel('Terminal voltage(per unit)')\n",
+      "title('Terminal voltage vs. power angle for part (b)')\n",
+      "show()\n",
+      "#for part (c):\n",
+      "Vterm=1.0\n",
+      "P=[0]*500\n",
+      "deltat=[0]*500\n",
+      "Ia=[0]*500\n",
+      "Eaf=[0]*500\n",
+      "\n",
+      "for n in range(1,101,1):\n",
+      "    P[n-1]=(n-1)/100\n",
+      "    deltat[n-1]=math.asin(P[n-1]*Xeq/(Vterm*Veq))\n",
+      "    Ia[n-1]=(Vterm*exp(1j*deltat[n-1])-Veq)/(1j*Xeq)\n",
+      "    Eaf[n-1]=abs(Vterm+1j*(Xs+Xeq)*Ia[n-1])\n",
+      "plot(P,Eaf,'r.')\n",
+      "xlabel('Power [per unit]')\n",
+      "ylabel('Eaf [per unit]')\n",
+      "title('Eaf vs. power for part (c)')\n",
+      "show()\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"(a) Maximum power supplied to external system:\",round(P_max,2),\"p.u\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Populating the interactive namespace from numpy and matplotlib\n"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stderr",
+       "text": [
+        "WARNING: pylab import has clobbered these variables: ['prod', 'Circle', 'power', 'diag', 'sinh', 'trunc', 'binomial', 'plot', 'eye', 'det', 'tan', 'product', 'roots', 'vectorize', 'sin', 'plotting', 'zeros', 'cosh', 'conjugate', 'linalg', 'take', 'solve', 'trace', 'beta', 'draw_if_interactive', 'random', 'ones', 'transpose', 'cos', 'interactive', 'diff', 'invert', 'tanh', 'Polygon', 'reshape', 'sqrt', 'floor', 'source', 'add', 'multinomial', 'test', 'poly', 'mod', 'sign', 'fft', 'gamma', 'log', 'var', 'info', 'seterr', 'flatten', 'nan', 'pi', 'exp']\n",
+        "`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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PYffu3Wjbtq1y5M/x48cxadKk2ldIRET1ktZAePXVVxEfHw8HBwcAQKdOnbB/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\na/B03gAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x3794dd0>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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+s2+K7OxsBAcHIzAwEOvXr2+zjFarxfjx4xEaGoopU6Z0+AsQEZF5KbaCW11d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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x3965f10>"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) Maximum power supplied to external system: 0.63 p.u\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.7, Page number: 272"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "P_rated=2000*746/3                     #per phase rated power of motor(W)\n",
+      "Xsm=1.95                                #Synchronous reactance(ohm)\n",
+      "Vl=2300                                #Line to line voltage(V)\n",
+      "f=60                                   #Angular frequency(Hz)\n",
+      "p=30                                   #No. of poles\n",
+      "Xsg=2.65                               #Synchronous reactance of generator(ohm)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#for part (a):\n",
+      "Vp=2300/sqrt(3)\n",
+      "Ip=P_rated/Vp\n",
+      "Eafm=sqrt(Vp**2+(Ip*Xsm)**2)\n",
+      "Pm=3*Vp*Eafm/Xsm                             #Max power delivered to motor(W)\n",
+      "ws=2*2*pi*f/p\n",
+      "Tmax=Pm/ws                                  #MAx torque of motor(Nm)\n",
+      "\n",
+      "\n",
+      "#for part (b):\n",
+      "Eafg=sqrt(Vp**2+(Ip*Xsg)**2)\n",
+      "Pm2=3*Eafm*Eafg/(Xsg+Xsm)                   #Max power delivered to motor(W)\n",
+      "Tmax2=Pm2/ws                                #Max torque(Nm)\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print\"(a) Max power  :\",round(Pm/1000,0),\"kW,3-ph\"\n",
+      "print\"    Max torque :\",round(Tmax/1000,1),\"kNm\"\n",
+      "print \"(b) Max power :\", round(Pm2/1000,0),\"kW,3-ph\"\n",
+      "print \"    Max torque:\", round(Tmax2/1000,1),\"Nm\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) Max power  : 3096.0 kW,3-ph\n",
+        "    Max torque : 123.2 kNm\n",
+        "(b) Max power : 1639.0 kW,3-ph\n",
+        "    Max torque: 65.2 Nm\n"
+       ]
+      }
+     ],
+     "prompt_number": 8
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.8, Page number: 279"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "\n",
+      "#Variable declaration:\n",
+      "P=45                                    #Power rated(KVA)\n",
+      "Va=220                                  #Terminal voltage(V)\n",
+      "Pin=45                                  #Power input to the armature(KVA)\n",
+      "If=5.50                                 #field current(A)\n",
+      "Rf=35.5                                 #Field winding resistance(ohm)\n",
+      "Ra=0.0399                               #Armature dc resistance(ohm/phase)\n",
+      "Xal=0.215                               #Leakage reactance of motor(ohm)\n",
+      "pf=0.80                                 #Lagging power factor \n",
+      "Pc=1.8                                  #Core loss(kW)\n",
+      "Pw=0.91                                 #Friction & windage losses(kW)\n",
+      "Ps=0.37                                 #Stray load loss(kW)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "Ia=P*10**3/(sqrt(3)*Va)\n",
+      "P1=If**2*Rf/10**3                            #Loss in field winding(kW)\n",
+      "P2=3*Ia**2*Ra/10**3                          #Loss in armature(kW)\n",
+      "Pl=(Pc+Pw+Ps+P1+P2)\n",
+      "Pi=Pin*pf+P1\n",
+      "Po=Pi-Pl\n",
+      "eff=(Po/Pi)*100\n",
+      "\n",
+      "#Results:\n",
+      "print \"Efficiency of the synchronous machine:\",round(eff,1),\"%\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Efficiency of the synchronous machine: 84.3 %\n"
+       ]
+      }
+     ],
+     "prompt_number": 9
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.9, Page number: 287"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "import cmath\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Xd=1                              #Direct axis synchronus reactance(p.u)\n",
+      "Xq=0.60                           #Quadrature axis synchronous reactance(p.u)\n",
+      "Va=1                              #Terminal voltage(p.u)\n",
+      "pf=0.8                              #Lagging power factor\n",
+      "Ia=0.8-1j*math.sin(math.acos(0.8))       #Line current(p.u)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "phy=-math.acos(pf)\n",
+      "E=Va+1j*Xq*Ia\n",
+      "delta=cmath.phase(E)\n",
+      "Id=abs(Ia)*math.sin(delta-phy)*cmath.exp(1j*(-pi/2+delta))\n",
+      "Iq=abs(Ia)*math.cos(delta-phy)*cmath.exp(1j*delta)\n",
+      "Eaf=Va+Xd*Id*1j+Xq*Iq*1j\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Generated voltage:\",round(abs(Eaf),2),\"p.u Volt\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Generated voltage: 1.78 p.u Volt\n"
+       ]
+      }
+     ],
+     "prompt_number": 12
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.11, Page number: 291"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from pylab import *\n",
+      "import cmath\n",
+      "from sympy import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "P_rated=2000*746                  #Rated power of motor(W)\n",
+      "Xs=1.95                           #Synchronous reactance(ohm/phase)\n",
+      "Xd=1.95                           #Direct axis synchronous reactance(ohm/ph)\n",
+      "Xq=1.40                         #Quadrature axis synchronous reactance(ohm/ph)\n",
+      "pf=1                            #Power factor of the machine\n",
+      "Vl=2300                         #Line to line voltage(V)\n",
+      "\n",
+      "#Calculatons:\n",
+      "Va=float(Vl/sqrt(3))              #volt\n",
+      "Ia=float(P_rated/(Va*3))          #ampere\n",
+      "E1=Va-1j*Ia*Xq                      #From phasor diagram\n",
+      "delta=cmath.phase(E1)             #power angle\n",
+      "Id=Ia*sin(abs(delta))             #direct axis current(A)\n",
+      "Eaf=abs(E1)+Id*(Xd-Xq)\n",
+      "r=symbols('r')\n",
+      "def P(r):                           #Process for finding maximum power\n",
+      "    return Eaf*Va*sin(r)/Xd + Va**2*(Xd-Xq)*sin(2*r)/(2*Xd*Xq)\n",
+      "P1=diff(P(r),r)\n",
+      "#On differentiation,\n",
+      "#P1 = 1023732.58489791*cos(r) + 355250.305250306*(2*(cos(r))**2-1)\n",
+      "l = solve(1023732.58489791*cos(r) + 355250.305250306*(2*(cos(r))**2-1),r)\n",
+      "P_max = (P(round(l[0],5)))\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Maximum mechanical power:\",math.ceil(3*P_max/10**3),\"kW,3-phase\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Maximum mechanical power: 3236.0 kW,3-phase\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/README.txt b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/README.txt
new file mode 100755
index 00000000..4b574a6d
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/README.txt
@@ -0,0 +1,10 @@
+Contributed By: SANTOSH BARNWAL
+Course: be
+College/Institute/Organization: BIRLA INSTITUTE OF TECHNOLOGY MESRA
+Department/Designation: ELECTRICAL & ELECTRONICS
+Book Title: ELECTRIC MACHINERY
+Author: A. E. Fitzgerald, Charles Kingsley, Jr., Stephen D. Umans
+Publisher: McGraw-Hill, New York
+Year of publication: 2003
+Isbn: 0-07-112193-5
+Edition: Sixth Edition
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter1.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter1.ipynb
new file mode 100755
index 00000000..3eaa70a1
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter1.ipynb
@@ -0,0 +1,560 @@
+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:29b5ec9b20f222bcfeb31d6e80f55e5d32272a4cce1e9227a6328e93313e209d"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "<h1>Chapter 1:Introduction to Magnetic Circuits<h1>"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 1.1, Page number: 9"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "#Variable declaration:\n",
+      "Ac=9                            #Cross-sectional area of the core(cm**2)\n",
+      "Ag=9                            #Cross-sectional area of the air-gap(cm**2)\n",
+      "g=0.050                         #Air-gap length(cm)            \n",
+      "lc=30                           #Mean Length of the core(cm)\n",
+      "N=500                           #No. of windings\n",
+      "ur=70000                        #Relative permeability of the core material\n",
+      "Bc=1.0                          # Magnetic Flux Density of the core(T)\n",
+      "uo=4*pi*10**-7                  #Permeability of free space\n",
+      "\n",
+      "#Calculation\n",
+      "Rc=lc*10**-2/((ur*uo*Ac)*10**-4)\n",
+      "Rg=g*10**-2/((uo*Ag)*10**-4)\n",
+      "Q=Bc*Ac*10**-4\n",
+      "i=Q*(Rc+Rg)/N\n",
+      "\n",
+      "#Results\n",
+      "print \"a.Reluctance of the core,Rc:\",round(Rc,2), \"A.turns/Wb\" \n",
+      "print \"  Reluctance of the air-gap,Rg:\", round(Rg,2), \"A.turns/Wb\"\n",
+      "print \"b.The flux, Q:\", round(Q,4), \"Wb\"\n",
+      "print \"c.The current,i:\", round(i,2), \"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "a.Reluctance of the core,Rc: 3789.4 A.turns/Wb\n",
+        "  Reluctance of the air-gap,Rg: 442097.06 A.turns/Wb\n",
+        "b.The flux, Q: 0.0009 Wb\n",
+        "c.The current,i: 0.8 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 1.2, Page number: 10"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "#Variable declaration:\n",
+      "I=10                            #Current in the coil(A)\n",
+      "N=1000                          #No of turns in the rotor\n",
+      "g=1                             #Air gap length(cm)\n",
+      "Ag=2000                         #Cross-section of the air-gap(cm**2)\n",
+      "uo=4*pi*10**-7                  #Permeability of free space\n",
+      "\n",
+      "#Calculation:\n",
+      "Q=(N*I*uo*Ag*10**-4)/(2*g*10**-2)\n",
+      "Bg=round(Q,2)/(Ag*10**-4)\n",
+      "\n",
+      "#Results\n",
+      "print \"The air-gap flux, Q:\", round(Q,2), \"Wb\"\n",
+      "print \"The flux density, Bg:\", round(Bg,4), \"T\"\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The air-gap flux, Q: 0.13 Wb\n",
+        "The flux density, Bg: 0.65 T\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 1.4, Page number: 13"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "#Variable declaration\n",
+      "lc=0.3                                  #length of the core(cm)\n",
+      "ur1=72300                               #Relative permeablity for case(a)\n",
+      "ur2=2900                                #Relative permeablity for case(b)\n",
+      "Ac=9                                    #Cross-section of the core(cm**2)\n",
+      "Rg=4.42*10**5                           #Reluctance of the air-gap(A.turns/Wb)\n",
+      "N=500                                   #No of coil turns\n",
+      "uo=4*pi*10**-7                          #Permeability of free space(H/m)\n",
+      "\n",
+      "#Calculations:\n",
+      "Rt1=(lc/(ur1*uo*Ac*10**-4))+Rg\n",
+      "L1=N**2/Rt1\n",
+      "Rt2=(lc/(ur2*uo*Ac*10**-4))+Rg\n",
+      "L2=N**2/Rt2\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"(a)Inductance,L:\",round(L1,2),\"H\"\n",
+      "print \"(b)Inductance,L:\",round(L2,2),\"H\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a)Inductance,L: 0.56 H\n",
+        "(b)Inductance,L: 0.47 H\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 1.5, Page number: 15"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from pylab import *\n",
+      "from matplotlib import *\n",
+      "from math import *\n",
+      "%matplotlib inline\n",
+      "#Variable declaration:\n",
+      "Ac=9e-4                                 #Cross-section of the core(m)\n",
+      "Ag=9e-4                                 #Cross-section of the air-gap(m)\n",
+      "g=5e-4                                  #Air-gap length(m)\n",
+      "lc=0.3                                  #Mean length of the core(m)\n",
+      "N=500                                   #No. of turns of the core(m)\n",
+      "uo=4*pi*10**-7                          #Permeability of free space(H/m)\n",
+      "\n",
+      "#Calculations:\n",
+      "Rg=g/(uo*Ag)                            #Reluctance of the air-gap(A.turns/Wb)\n",
+      "ur=[0]*200                              #Initialising array\n",
+      "L=[0]*200\n",
+      "\n",
+      "for n in range(1,101,1):\n",
+      "    ur[n-1]=100+(10000-100)*(n-1)/100\n",
+      "    Rc=lc/(ur[n-1]*uo*Ac)               #Reluctance of the core(A.turns/Wb)\n",
+      "    Rtot=Rg+Rc\n",
+      "    L[n-1]=(N**2)/Rtot                  #Inductance(H)\n",
+      "    \n",
+      "\n",
+      "#Results:\n",
+      "print \"The reqired plot is shown below:\"\n",
+      "plot(ur, L,'g.')\n",
+      "xlabel('Core relative permeability, ur')\n",
+      "ylabel('Inductance,L (H) ')\n",
+      "title('plot of inductance vs. relative permeability for Example 1.5.')\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The reqired plot is shown below:\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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pKQn37t27zNPTM0kkEikuXLjwkL29/YOwsLAQQggJCQkJO3Xq1Mz9+/cvVVJS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\nDQAAkNn/ASu6P4PfImgPAAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x2a2ba10>"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 1.6, Page number: 19"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Bc=1.0                                 #Magnetic field induction in the core\n",
+      "w=377                                  #Angular frequency of magnetic field(rad/s)\n",
+      "Rc=3791.33                             #Reluctance of the core(A.turns/Wb)\n",
+      "Rg=442321.3                            #Reluctance of the air-gap(A.turns/Wb)\n",
+      "N=500                                  #No. of windings\n",
+      "i=0.80                                 #Current in the coil\n",
+      "Ac=9*10**-4                            #Cross-section of the core\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "L=N**2/(Rc+Rg)\n",
+      "W=(1./2)*L*i**2\n",
+      "t = symbols('t')\n",
+      "Bc = 1.0*sin(w*t)\n",
+      "e=N*Ac*diff(Bc,t)\n",
+      "\n",
+      "#Results:\n",
+      "print \"The Inductance, L:\", round(L,2), \"H\"\n",
+      "print \"The magntic stored energy, W:\", round(W,2), \"J\"\n",
+      "print \"Induced voltage, e:\",e,\"V\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The Inductance, L: 0.56 H\n",
+        "The magntic stored energy, W: 0.18 J\n",
+        "Induced voltage, e: 169.65*cos(377*t) V\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 1.7, Page number: 22"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "#Variable declaration:\n",
+      "Bc=1                                    #Magnetic field in the core\n",
+      "Hc=11                                   #Magnetising force(A.turns/m)\n",
+      "lc=0.3                                  #length of the core(m)\n",
+      "N=500                                   #No of windings\n",
+      "g=0.050                                 #Air-gap length(cm)\n",
+      "uo=4*pi*10**-7                          #Permeability of free space(H/m)\n",
+      "\n",
+      "\n",
+      "#Calculation:\n",
+      "Fc=Hc*lc                                #mmf drop for the core path(A.turns)\n",
+      "Fg=Bc*g*10**-2/uo                       #mmf drop across the air gap(A.turns)\n",
+      "i=(Fc+Fg)/N\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The required current,i:\" ,round(i,2) ,\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The required current,i: 0.8 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 6
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 1.8, Page number: 28"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "N=200                               #No. of turns\n",
+      "Ac=4                                #Cross-section of the core(in**2)\n",
+      "w=377                               #Angular frequency of the magnetic field(rad/s)\n",
+      "Hm=36                               #Max value magnetising force(A.turns/m)\n",
+      "Pc=1.2                              #Core loss density(W/kg)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "t=symbols('t')\n",
+      "Bc=1.5*sin(w*t)\n",
+      "e=(round(N*Ac*0.94/(39.4**2),2)*diff(Bc,t))\n",
+      "Erms=275*0.707\n",
+      "lc=(6+6+8+8)/39.4                   #Mean length of the core(m)\n",
+      "I=Hm*lc/N\n",
+      "Vc=4*0.94*28                        #Core volume(m**3)\n",
+      "Wc=105.5*(2.54**3)*7.65*10**-3                  #Core weight(kg)\n",
+      "Pa=1.5*13.2                         #Watts per Kg\n",
+      "Irms=Pa/Erms                        #Current (A)\n",
+      "Pct=Pc*Wc                           #Total core loss(W)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The applied voltage,e:\", e, \"V\"\n",
+      "print \"The peak current,I:\", round(I,2), \"A\"\n",
+      "print \"The total rms current. Irms:\", round(Irms,2), \"A\"\n",
+      "print \"Total Core loss, Pct:\",round(Pct,2),\"W\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The applied voltage,e: 271.44*cos(377*t) V\n",
+        "The peak current,I: 0.13 A\n",
+        "The total rms current. Irms: 0.1 A\n",
+        "Total Core loss, Pct: 15.87 W\n"
+       ]
+      }
+     ],
+     "prompt_number": 8
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 1.9, Page number: 32"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "from math import *\n",
+      "\n",
+      "#Variable Declaration:\n",
+      "g=0.2                               #air-gap length(cm)\n",
+      "lm=1.0                              #length of magnetic section(cm)\n",
+      "Am=4                                #Cross-section of the core(cm**2)\n",
+      "Ag=4                                #Cross-section of the air-gap(cm**2)\n",
+      "\n",
+      "#Constants used:\n",
+      "uo=4*pi*10**-7                      #Permeability of free space(H/m)\n",
+      "\n",
+      "#Calculations:\n",
+      "Hm=symbols('Hm')\n",
+      "def Bg(Hm):\n",
+      "    return -uo*Ag*lm*Hm/(Am*g)             \n",
+      "\n",
+      "Hm1=-49*10**3                    #Coercivity of ALNICO 5 (A/m)\n",
+      "Hm2=-6                          #Coercivity of M-5 electrical steel (A/m)                     \n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Flux Density of air gap:\", round(Bg(Hm1),2),\"T\"\n",
+      "print \"\\nFlux Density of air gap:\", round(Bg(Hm2*10**4),2),\"gauss\"\n",
+      "print \"\\nwhere value of Hm for different material.\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Flux Density of air gap: 0.31 T\n",
+        "\n",
+        "Flux Density of air gap: 0.38 gauss\n",
+        "\n",
+        "where value of Hm for different material.\n"
+       ]
+      }
+     ],
+     "prompt_number": 10
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 1.10, Page number: 34"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Ag=2                                #Cross-section of air-gap(cm**2) \n",
+      "Bg=0.8                              #Air-gap flux density(t)\n",
+      "Bm=1.0                              #Core-flux density(T)\n",
+      "Hm=-40                              #Magnetising force in the core(kA/m)\n",
+      "uo=4*pi*10**-7                      #permeability of free space(H/m)\n",
+      "g=0.2                               #Air-gap length(cm)\n",
+      "\n",
+      "#Calculations:\n",
+      "Am=Ag*Bg/Bm\n",
+      "lm=-g*Bg/(Hm*uo*10**3)\n",
+      "Vm=Am*lm\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The minimum magnet volume,Vm:\",round(Vm,2),\"cm**3\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The minimum magnet volume,Vm: 5.09 cm**3\n"
+       ]
+      }
+     ],
+     "prompt_number": 11
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 1.11, Page number: 39"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "from math import *\n",
+      "\n",
+      "#Variable Declaration:\n",
+      "Am = 2                    #magnetic material cros-section(cm^2)\n",
+      "g=0.2                     #air gap length(cm)\n",
+      "uo=4*pi*10**-7            #permeability of free space(H/m)\n",
+      "N=100                     #No. of windings\n",
+      "\n",
+      "#Calculations and results:\n",
+      "#for part (a)\n",
+      "Bma = 1.0                 #Tesla\n",
+      "Hma = - 4                 #kA/m\n",
+      "Ag1 = 2                    #cm**2\n",
+      "Ag2 = 4                   #cm**2\n",
+      "\n",
+      "lm=g*(Am/Ag1)*(Bma/(-uo*Hma*10**4))\n",
+      "print \"(a) The Requied magnet length = \",round(lm,2),\"cm\"\n",
+      "\n",
+      "\n",
+      "#for part (b):\n",
+      "i,Hm=symbols('i Hm')\n",
+      "Bm=-uo*(Ag1/Am)*(lm/g)*Hm+(uo*N/g)*(Ag1/Am)*i\n",
+      "H_max=200               #kA/m\n",
+      "B_max=2.1               #Tesla\n",
+      "i_max=(B_max+2.50*10**-5*H_max)/(6.28*10**-2)\n",
+      "\n",
+      "print \"(b) Thus with the air-gap area set to 2 cm^2,\"\n",
+      "print \"    increasing the current to i_max = 45.2 A and then reducing\"\n",
+      "print \"    it to zero will achieve the desired magnetization.\"\n",
+      "\n",
+      "#for part (c):\n",
+      "Bm1=1.00               #Tesla\n",
+      "Bm2=1.08               #Tesla\n",
+      "Bg1=(Am/Ag1)*Bm1\n",
+      "Bg2=(Am/Ag2)*Bm2\n",
+      "print \"(c) The flux densities when plunger moves at two extremes are:\"\n",
+      "print \"    Bg1 =\",Bg1,\"T and Bg2 =\",Bg2,\"T\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) The Requied magnet length =  3.98 cm\n",
+        "(b) Thus with the air-gap area set to 2 cm^2,\n",
+        "    increasing the current to i_max = 45.2 A and then reducing\n",
+        "    it to zero will achieve the desired magnetization.\n",
+        "(c) The flux densities when plunger moves at two extremes are:\n",
+        "    Bg1 = 1.0 T and Bg2 = 0.54 T\n"
+       ]
+      }
+     ],
+     "prompt_number": 12
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter10.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter10.ipynb
new file mode 100755
index 00000000..2bcd2ccb
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter10.ipynb
@@ -0,0 +1,538 @@
+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:603160d56b04457665b7cf5381387c06e4c52903d6f85f1c61a983bdc3c14ebc"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 10: Introduction to Power Electronics"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 10.5, Page number: 508"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "from pylab import *\n",
+      "import numpy as np\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "w=2*pi*60                               #frequency of voltage(Hz)\n",
+      "R=10                                    #ohm\n",
+      "C=0.01                                  #F\n",
+      "Vo=120*sqrt(2)                          #maximum voltage(V)\n",
+      "Nmax=800\n",
+      "tau=R*C                                 #time constant(s)\n",
+      "\n",
+      "#Calculations:\n",
+      "# diode = 1 when rectifier bridge is conducting\n",
+      "\n",
+      "diode=1\n",
+      "t=[0]*801\n",
+      "vs=[0]*801\n",
+      "vrect=[0]*801\n",
+      "vR=[0]*801\n",
+      "iB=[0]*801\n",
+      "\n",
+      "t=[0]*801\n",
+      "for n in range(1,Nmax+2,1):\n",
+      "    t[n-1] = (2.5*pi/w)*(n-1)/Nmax\n",
+      "    vs[n-1]=Vo*math.cos(w*t[n-1])\n",
+      "    vrect[n-1]=abs(vs[n-1])\n",
+      "#if the rectifier bridge is ON:\n",
+      "    if diode==1:\n",
+      "        vR[n-1]=vrect[n-1]\n",
+      "        if (w*t[n-1])<=(pi/2):\n",
+      "            iB[n-1]=vR[n-1]-Vo*C*w*math.sin(w*t[n-1])\n",
+      "        elif (w*t[n-1])<=3*pi/2:\n",
+      "            iB[n-1]=vR[n-1]/R+Vo*C*w*math.sin(w*t[n-1])\n",
+      "        else:\n",
+      "            iB[n-1]=vR[n-1]/R-Vo*C*w*math.sin(w*t[n-1])\n",
+      "        if iB[n-1]<0:\n",
+      "            diode=0\n",
+      "            toff=t[n-1]\n",
+      "            Voff=vrect[n-1]\n",
+      "    else:\n",
+      "        vR[n-1]=Voff*exp(-(t[n-1]-toff/tau))\n",
+      "        iB[n-1]=0\n",
+      "        if (vrect[n-1]-vR[n-1])>0:\n",
+      "            diode=1\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "iR=(1/R)*np.array(vR)\n",
+      "plot(1000*np.array(t),vR)\n",
+      "xlabel('time [msec]')\n",
+      "ylabel('voltage [V]')\n",
+      "xlim(0,22)\n",
+      "ylim(0,180)\n",
+      "plot(1000*np.array(t),vrect,'--')\n",
+      "grid()\n",
+      "print \"The required plots are shown below:\"\n",
+      "show()\n",
+      "plot(1000*np.array(t),iR)\n",
+      "xlabel('time [msec]')\n",
+      "ylabel('source current [A]')\n",
+      "xlim(0 ,22)\n",
+      "ylim(-50,250)      \n",
+      "plot(1000*np.array(t),1.5*np.array(iB),'--')\n",
+      "grid()\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The required plots are shown below:\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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DAABNDU1McpmEPensHQ/k6valsCYwderUXWfPnh326uu5ublW58+fD+zevftD6WsZGRmO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\n1BhtAhRFUWqMNgGKoig1RpsARVGUGvt/5i5yreN7pjkAAAAASUVORK5CYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x25c1f10>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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IACiKYs2SmJj4Yr9+/W44OztnRkZGrmA6HjYsvXr1ynJzc7sql8vT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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x3529b90>"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 10.6, Page number: 522"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "w=2*pi*60                               #Angular freq of voltage(rad/sec)\n",
+      "Vo=230*sqrt(2)                          #volt\n",
+      "R=5.6                                   #Resistance(ohm)\n",
+      "\n",
+      "#Calculations:\n",
+      "Ls=[0]*101\n",
+      "tc=[0]*101\n",
+      "Idc=[0]*101\n",
+      "for n in range(1,101,1):\n",
+      "    Ls[n-1]=n*10**-3\n",
+      "    Idc[n-1]=2*Vo/(pi*R+2*w*Ls[n-1])\n",
+      "    tc[n-1]=(1/w)*acos(1-(2*Idc[n-1]*w*Ls[n-1])/Vo)\n",
+      "\n",
+      "#Results:\n",
+      "plot(1000*np.array(Ls),Idc,'g.')\n",
+      "xlabel('Commutating inductance Ls [mH]')\n",
+      "ylabel('Idc [A]')\n",
+      "title('Load current,Idc vs Commutating inductance,Ls')\n",
+      "show()\n",
+      "plot(1000*np.array(Ls),1000*np.array(tc),'g.')\n",
+      "xlabel('Commutating inductance L [mH]')\n",
+      "ylabel('tc [msec]')\n",
+      "title('Commutating Inductance,Ls vs time,tc')\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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YmBReuHBhxLsE8a+gOmhCkIYhqQDQnuR+L6PGxkb1uLi4MS1tZPz48SfeJYDO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\npcyJEyce7tu37592dnYZ165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IhUKOn5/fyTt37ji0Zbnw9tCpDJ1WTk6OVWBgYIxEIlHT\n0tKqk24yg9bT1dWt2rVrV1hlZaXem16L0JyLFy8O/fTTT380MTEpbIvyoG3gDAEAAAgh6EMAAICX\nkBAAAIAQgoQAAAAvISEAAAAhBAkBAABeQkIAAABCCCH/D1IYMYHMZAvtAAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x2ce0f10>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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rNrSlYlmi19lH0AcA+CeJAn90dPRHXC63mN7ncrnF586dGye7ZgEAgKxIdOdu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\ng8APAMAwCPwAAAyDwA8AwDD/DxR4tH4eP493AAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x33b4a90>"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 10.7, Page number: 528"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "R=12.5*10**-3                               #ohm\n",
+      "L=1.2                                       #H\n",
+      "Vo=15                                       #volt\n",
+      "w=120*pi                                    #angular freq(Hz)\n",
+      "Idc=35                                      #DC current(A)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#for part (a):\n",
+      "theta=[0]*1301\n",
+      "t=[0]*1301\n",
+      "vL=[0]*1301\n",
+      "vs=[0]*1301\n",
+      "\n",
+      "Vdc_a=R*Idc                                 #Dc voltage(V)\n",
+      "P=Vdc_a*Idc                                 #Power\n",
+      "alpha_da = acos(pi*R*Idc/(2*Vo)) ;    #delay angle\n",
+      "for n in range(1,1301,1):                 #loop for calculating load voltage\n",
+      "    theta[n-1]=2*pi*(n-1)/1000\n",
+      "    t[n-1]=theta[n-1]/w\n",
+      "    vs[n-1]=Vo*sin(theta[n-1])\n",
+      "    if theta[n-1]<alpha_da:\n",
+      "        vL[n-1]=-vs[n-1]\n",
+      "    elif (theta[n-1]<pi+alpha_da):\n",
+      "        vL[n-1]=-vs[n-1]\n",
+      "    elif theta[n-1]<2*pi+alpha_da:\n",
+      "        vL[n-1]=vs[n-1]\n",
+      "    elif theta[n-1]<3*pi+alpha_da:\n",
+      "        vL[n-1]=vs[n-1]\n",
+      "    elif theta[n-1]<4*pi+alpha_da:\n",
+      "        vL[n-1]=-vs[n-1]\n",
+      "    else:\n",
+      "        vL[n-1]=vs[n-1]\n",
+      "\n",
+      "figure(1)\n",
+      "plot(1000*np.array(t),vL,'g.')\n",
+      "xlabel('time [msec]')\n",
+      "ylabel('Load voltage [V]')\n",
+      "grid()\n",
+      "show()\n",
+      "\n",
+      "\n",
+      "#part(b):\n",
+      "alpha_db=0.9*pi                             #delay angle\n",
+      "Vdc_b=(2*Vo/pi)*cos(alpha_db)          #new dc voltage(V)\n",
+      "tau=L/R                                     #time constant(s)\n",
+      "imo=Idc                                     #Initial curent(A)\n",
+      "tzero=-tau*log((-Vdc_b/R)/(imo-Vdc_b/R))\n",
+      "for n in range(1,1301,1):\n",
+      "    theta[n-1]=2*pi*(n-1)/1000\n",
+      "    t[n-1]=theta[n-1]/w\n",
+      "    vs[n-1]=Vo*sin(theta[n-1])\n",
+      "    if theta< alpha_db:\n",
+      "        vL[n-1]=-vs[n-1]\n",
+      "    elif (theta[n-1]<pi+alpha_db):\n",
+      "        vL[n-1]=vs[n-1]\n",
+      "    elif theta[n-1]<2*pi+alpha_db:\n",
+      "        vL[n-1]=-vs[n-1]\n",
+      "    elif theta[n-1]<3*pi+alpha_db:\n",
+      "        vL[n-1]=vs[n-1]\n",
+      "    elif theta[n-1]<4*pi+alpha_db:\n",
+      "        vL[n-1]=-vs[n-1]\n",
+      "    else:\n",
+      "        vL[n-1]=vs[n-1]\n",
+      "\n",
+      "#Results:\n",
+      "figure(2)\n",
+      "plot (1000*np.array(t), vL,'g.')\n",
+      "xlabel('time [msec] ')\n",
+      "ylabel('Load voltage [V]')\n",
+      "print \"part (a):\"\n",
+      "print \"\\n Vdc_a=\",round(1000*Vdc_a,2),\"mV\"\n",
+      "print \"\\n Power=\",round(P),\"W\"        \n",
+      "print \"\\n alpha_d=\",round((180/pi)*alpha_da,1),\"degrees\"\n",
+      "print \"\\n part (b):\"\n",
+      "print \"\\n alpha_d=\",round((180/pi)*alpha_db,1),\"degrees\"   \n",
+      "print \"\\n Vdc_b=\",round(Vdc_b,1),\"V\"\n",
+      "print \"\\n Current will reach zero at\",round(tzero,1),\"sec\"\n",
+      "grid()\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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LPuhJW/DhLpBJ2C8sZzJJ1NbWypYuXfrRsGHD8ocNG5a/fPny9Xfv3u1j6ve4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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x2594cd0>"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "part (a):\n",
+        "\n",
+        " Vdc_a= 437.5 mV\n",
+        "\n",
+        " Power= 15.0 W\n",
+        "\n",
+        " alpha_d= 87.4 degrees\n",
+        "\n",
+        " part (b):\n",
+        "\n",
+        " alpha_d= 162.0 degrees\n",
+        "\n",
+        " Vdc_b= -9.1 V\n",
+        "\n",
+        " Current will reach zero at 4.5 sec\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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/wb59+xYzUTkkHtQEKFeXeUA9kav6kshVfZEw4DwJxAm4xwS/4R4T3Gez/SRa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\nYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x37f8250>"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 10.8, Page number: 533"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration:\n",
+      "f=60                                #Hz\n",
+      "Vrms=35                             #rms voltage of waveform\n",
+      "Ra=3.5                              #Armature resistance(ohm)\n",
+      "La=0.175                            #H\n",
+      "no=8000                             #No load speed(r/min)\n",
+      "Va=50                               #armature voltage(V)\n",
+      "\n",
+      "#Calculations:\n",
+      "Edc,alphad=symbols('Edc alphad')\n",
+      "Vdc=Edc                                 #at no load, Vdc=Edc\n",
+      "Edc=round(float(2*sqrt(2)*(Vrms/math.pi)),2)*cos(alphad)\n",
+      "n=Edc*float(no/50)\n",
+      "\n",
+      "#Results:\n",
+      "print \"Speed at no-load =\",n,\" r/min      (where 0 <= alphad <= pi/2)\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Speed at no-load = 5041.6*cos(alphad)  r/min      (where 0 <= alphad <= pi/2)\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 10.9, Page number: 537"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Vll_rms=460                                 #rms voltage,line-to-line(V)\n",
+      "R=68                                        #resistance of load\n",
+      "Im=2.5                                      #magnet current(A)\n",
+      "\n",
+      "#Calculations:\n",
+      "Vdc_max=3*sqrt(2)*Vll_rms/pi\n",
+      "Idc_max=Vdc_max/R\n",
+      "Vdc=Im*R\n",
+      "alpha=acos(pi*Vdc/(3*sqrt(3)*Vll_rms))\n",
+      "\n",
+      "#Results:\n",
+      "print \"(a) Maximum dc voltage:\",round(Vdc_max),\"V\"\n",
+      "print \"\\n  Maximum dc current:\",round(Idc_max,1),\"V\"\n",
+      "print \"\\n(b) Delay angle alpha:\",round(math.degrees(round(alpha,1)),1),\"degrees\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) Maximum dc voltage: 621.0 V\n",
+        "\n",
+        "  Maximum dc current: 9.1 V\n",
+        "\n",
+        "(b) Delay angle alpha: 74.5 degrees\n"
+       ]
+      }
+     ],
+     "prompt_number": 6
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 10.10, Page number: 541"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "T=20*10**-3                                 #Time period(sec) \n",
+      "p=4                                         #no. of poles\n",
+      "delta=0.44                                  #ON- time fraction\n",
+      "Vo=125                                      #DC supply voltage(V)\n",
+      "\n",
+      "\n",
+      "#Calculation:\n",
+      "fc=1/T\n",
+      "ns=(120*fc/p)\n",
+      "Va_peak=(4*Vo*sin(delta*pi))/pi\n",
+      "Vll_rms=sqrt(3/2)*Va_peak\n",
+      "\n",
+      "#Results:\n",
+      "print \"(a) Frequency:\",fc,\"Hz\"\n",
+      "print \"\\n    Synchronous speed:\",ns,\"r/min\"\n",
+      "print \"\\n(b) Rms amplitude of line-to-line voltage:\",round(Vll_rms,0),\"V\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) Frequency: 50.0 Hz\n",
+        "\n",
+        "    Synchronous speed: 1500.0 r/min\n",
+        "\n",
+        "(b) Rms amplitude of line-to-line voltage: 191.0 V\n"
+       ]
+      }
+     ],
+     "prompt_number": 8
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 10.13, Page number: 547"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Vo=48                               #Load voltage(V)\n",
+      "R=3.7                               #Resistance of load(ohm)\n",
+      "L=.32                               #Inductance of laad(H)\n",
+      "D=0.8                               #Duty cycle\n",
+      "f=1000                              #Hz\n",
+      "\n",
+      "#Calculations:\n",
+      "iL_avg=(2*D-1)*Vo/R\n",
+      "T=1/f\n",
+      "tau=L/R\n",
+      "iL_min=((-Vo/R)*(1-2*exp(-T*(1-D)/tau)+exp(-T/tau)))/(1-exp(-T/tau))\n",
+      "iL_max=(Vo/R)*(1-2*exp(-D*T/tau)+exp(-T/tau))/(1-exp(-T/tau))\n",
+      "\n",
+      "#since T/tau << 1, so using 10.32 in e.g. given.\n",
+      "del_iL=(2*Vo)*T*D*(1-D)/(R*tau)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Avg load current:\",round(iL_avg,2),\"A\"\n",
+      "print \"Minimum load current:\",round(iL_min,2),\"A\"\n",
+      "print \"Maximum load current\",round(iL_max,2),\"A\"\n",
+      "print \"Current ripple:\",round(del_iL,2),\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Avg load current: 7.78 A\n",
+        "Minimum load current: 7.76 A\n",
+        "Maximum load current 7.81 A\n",
+        "Current ripple: 0.05 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 9
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter11.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter11.ipynb
new file mode 100755
index 00000000..308afbf5
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter11.ipynb
@@ -0,0 +1,975 @@
+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:4aa0be3787a5262658b58d5130a82adad92353bb1944b3902dc15e9d5045fa75"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 11: Speed and Torque Control"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 11.1, Page number: 561"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Vdc=240                             #DC supply (V)\n",
+      "D=0.75                              #Duty cycle\n",
+      "Rf=187                              #field resistance(ohm)\n",
+      "Lf=4.2                              #field winding inductance(H)\n",
+      "T=1                                 #switching period(msec)\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "If=D*(Vdc/Rf)\n",
+      "tau=Lf/Rf                           #time constant(msec)\n",
+      "del_if=(2*Vdc/Rf)*(T/tau)*D*(1-D)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Avg field current:\",round(If,2),\"A\"\n",
+      "print \"Magnitude of currnet ripple:\",round(del_if,1),\"mA\"\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Avg field current: 0.96 A\n",
+        "Magnitude of currnet ripple: 21.4 mA\n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 11.2, Page number: 563"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "n1=1800                                 #r/min\n",
+      "n2=3600                                 #r/min\n",
+      "Va=240                                  #terminal voltage(V)\n",
+      "Ifo=0.34                                #No-load field current(A)\n",
+      "Ra=0.05                                 #Armature resistance(ohm)\n",
+      "Rsh=187                                 #Shunt field resistance(ohm)\n",
+      "\n",
+      "#Calculations:\n",
+      "wm=symbols('wm')\n",
+      "wm1=float(2*pi*n1/60)\n",
+      "wm2=float(2*pi*n2/60)\n",
+      "def Pload(wm):\n",
+      "    return (22.4*(120*pi)**-3)*(wm)**3\n",
+      "\n",
+      "T1=Pload(wm1)*1000/wm1\n",
+      "T2=Pload(wm2)*1000/wm2\n",
+      "\n",
+      "Kf=Va/(Ifo*wm2)\n",
+      "def If(T,wm):\n",
+      "    return (Va/(2*Kf*wm))*(1+sqrt(1-(4*wm*T*Ra)/Va**2))\n",
+      "\n",
+      "Rf1tot=round(Va/float(If(T1,wm1)))\n",
+      "Rf2tot=round(Va/float(If(T2,wm2)))\n",
+      "Rrh1=Rf1tot-Rsh\n",
+      "Rrh2=Rf2tot-Rsh\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"----------------------------------------------------------------\"\n",
+      "print \"r/min    Tload[N.m]      If[A]      R(f)tot[ohm]   Rrheostat[ohm]\"\n",
+      "print \"----------------------------------------------------------------\"\n",
+      "print n1,\"\\t \",round(float(T1),1),\"\\t\\t \",round(float(If(T1,wm1)),3),\"\\t\",Rf1tot,\"\\t      \",Rrh1\n",
+      "print n2,\"\\t \",round(float(T2),1),\"\\t\\t \",round(float(If(T2,wm2)),3),\"\\t\",Rf2tot,\"\\t      \",Rrh2\n",
+      "print \"----------------------------------------------------------------\"\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "----------------------------------------------------------------\n",
+        "r/min    Tload[N.m]      If[A]      R(f)tot[ohm]   Rrheostat[ohm]\n",
+        "----------------------------------------------------------------\n",
+        "1800 \t  14.9 \t\t  0.678 \t354.0 \t       167.0\n",
+        "3600 \t  59.4 \t\t  0.333 \t720.0 \t       533.0\n",
+        "----------------------------------------------------------------\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 11.3, Page number: 567"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "from math import *\n",
+      "from pylab import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Rf=109                                  #Field resistance(ohm)\n",
+      "Vf=300                                  #Rated field voltage(V)\n",
+      "Ra=0.084                                #Armature resistance(ohm)\n",
+      "Kf=0.694                                #Geometric constant(A.rad/sec)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "If=Vf/Rf                                #Resulting field current(A)\n",
+      "w_rated=2500*(pi/30)                    #Rated speed(rad/sec)\n",
+      "P_rated=100*746                         #Watts\n",
+      "T_rated=P_rated/w_rated                 #Nm\n",
+      "Va=[0]*102\n",
+      "NoLoadRPM=[0]*102\n",
+      "FullLoadRPM=[0]*102                      \n",
+      "for n in range(1,102,1):\n",
+      "    Va[n-1]=250*(1+(n-1)/100)\n",
+      "    T=0                                     #Zero torque\n",
+      "    w=(Va[n-1]-T*Ra/(Kf*If))/(Kf*If)\n",
+      "    NoLoadRPM[n-1]=w*30/pi\n",
+      "    T=T_rated\n",
+      "    w=(Va[n-1]-T*Ra/(Kf*If))/(Kf*If)\n",
+      "    FullLoadRPM[n-1]=w*30/pi\n",
+      "\n",
+      "print\"The plot is as shown:\"\n",
+      "plot(Va,NoLoadRPM)\n",
+      "plot(Va[20] ,NoLoadRPM[20] ,'r+')\n",
+      "plot (Va[50] , NoLoadRPM[50] , 'r+')\n",
+      "plot (Va[80] ,NoLoadRPM[80] , 'r+')\n",
+      "plot (Va, FullLoadRPM,'.')\n",
+      "plot (Va[20] ,FullLoadRPM[20] ,'o')\n",
+      "plot (Va[50] , FullLoadRPM[50] , ' o' )\n",
+      "plot (Va[80] , FullLoadRPM[80] ,'o' )\n",
+      "title('Speed vs Armature voltage')\n",
+      "xlabel('Armature voltage [V] ')\n",
+      "ylabel('Speed [r/min] ')\n",
+      "annotate('+ = Zero torque',xy=(270,2300))\n",
+      "annotate('o =   Full load torque',xy=(270,2100))\n",
+      "ylim(1000,2500)\n",
+      "xlim(250,500)\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The plot is as shown:\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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DvCo0sVPjozsQFWzatAlCoRBCoRCbNzf82I46Ojrlrw8dOoTp06eXv1d8lFfV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\ngg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x2718810>"
+       ]
+      }
+     ],
+     "prompt_number": 7
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 11.4, Page number: 571"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Rf=109                                  #Field resistance(ohm)\n",
+      "Vf=300                                  #Rated field voltage(V)\n",
+      "n1=2000                                  #rpm\n",
+      "T_rated=285                            #Rated torque(Nm)\n",
+      "n2=1975                                 #Dropped rpm\n",
+      "Kf=0.694                                #Geometric constant(A.rad/sec\n",
+      "Ra=0.084                                #Armature resistance(ohm)\n",
+      "\n",
+      "#Calculations:\n",
+      "If=Vf/Rf                                #Resulting field current(A)\n",
+      "wm1=2*pi*n1/60\n",
+      "w_ref=wm1\n",
+      "Vao=Kf*If*wm1\n",
+      "Ia=T_rated/(Kf*If)\n",
+      "wm2=2*pi*n2/60\n",
+      "Ea=Kf*If*wm2\n",
+      "Va=Ea+Ia*Ra\n",
+      "G=symbols('G')\n",
+      "x=solve(Vao-round(Va)+G*(w_ref-wm2),G)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Armature voltage,Vao:\",round(Va,0),\"V\"\n",
+      "print \"Multiplicative constant,G:\",float(round(x[0],2)),\"A.sec/rad\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Armature voltage,Vao: 408.0 V\n",
+        "Multiplicative constant,G: 3.04 A.sec/rad\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 11.5, Page number: 573"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "from sympy import *\n",
+      "\n",
+      "#Variable Declaration:\n",
+      "Km=0.22                             #torque constant(V/(rad/sec))\n",
+      "Ra=1.03                             #ohm\n",
+      "Pl=100                            #Power load(W)\n",
+      "Va1=40                              #Armature voltage(V)\n",
+      "Va2=50                              #  \"        \"     \"\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "wm1=(Va1/(2*Km))*(1+sqrt(1-(4*Pl*Ra/Va1**2)))\n",
+      "wm2=(Va2/(2*Km))*(1+sqrt(1-(4*Pl*Ra/Va2**2)))\n",
+      "\n",
+      "#Results:\n",
+      "print \"for Va=40 V, wm=\",round(wm1,1),\"rad/sec\"\n",
+      "print \"for Va=50 V, wm=\",round(wm2,1),\"rad/sec\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "for Va=40 V, wm= 169.2 rad/sec\n",
+        "for Va=50 V, wm= 217.5 rad/sec\n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 11.6, Page number: 575"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "\n",
+      "Rf=109                                  #Field resistance(ohm)\n",
+      "Vf=300                                  #Rated field voltage(V)\n",
+      "Ra=0.084                                #Armature resistance(ohm)\n",
+      "Kf=0.694                                #Geometric constant(A.rad/sec)\n",
+      "Tfl=285                                 #Full load torque(Nm)\n",
+      "nf=2500                                 #Speed at full load(r/min)\n",
+      "#wm=2500                                 #rated r/min\n",
+      "\n",
+      "#for part (1):\n",
+      "n1=2000                                 #r/min\n",
+      "n2=2500                                 #r/min\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#part (a):\n",
+      "If=Vf/Rf\n",
+      "w1=n1*2*pi/60\n",
+      "w2=n2*2*pi/60\n",
+      "Ea1=Kf*If*w1                    #Avg Amature voltage(V)\n",
+      "Ea2=Kf*If*w2\n",
+      "Ia1=n1*Tfl/(nf*Kf*If)\n",
+      "Ia2=n2*Tfl/(nf*Kf*If)\n",
+      "Va1 = Ea1 + Ia1*Ra\n",
+      "Va2 = Ea2 + Ia2*Ra\n",
+      "Tl1=(n1/nf)*Tfl\n",
+      "Tl2=(n2/nf)*Tfl\n",
+      "\n",
+      "#part (b):\n",
+      "\n",
+      "# The dynamic equation governing the speed of the motor is\n",
+      "\n",
+      "#   J*(dwm/dt)=Tmech-Tload\n",
+      "#   wm=(pi/30)*n & wr=(pi/30)*nf\n",
+      "#      Tload= (Tfl/wf)*wm\n",
+      "#   Tmech = Kf*If*Ia=Kf*If*(Va-Ea)/Ra          #Under armature-voltage control\n",
+      "\n",
+      "#   Thus the governing differential equation is\n",
+      "#   d(wm)/dt + 48.4*wm - 24.7*Va = 0\n",
+      " \n",
+      "#   wm = wf + (wi-wf)*exp(-t/tau)          #tau=1/48.4=20.7 msec\n",
+      "#   n = 2500- 50*exp( -t/tau )\n",
+      "\n",
+      "#   The armature current will decrease exponentially with the \n",
+      "#   same 20.7 msec time constant from an initial value of \n",
+      "#   (Vf - Vi)/Ra = 1190 A to its final value of 149 A.\n",
+      "\n",
+      "#   Ia = 149 + 1041*exp(-t/tau)\n",
+      "\n",
+      "#part (c):\n",
+      "#        J*d(wm)/dt = Tmech-Tload = Tf-(Tf/wm)*wm\n",
+      "# or      d(wm)/dt + 1.18*wm - 310 = 0\n",
+      "\n",
+      "#In this case, the speed will rise exponentially to wm=wf=262 rad/sec as\n",
+      "#         wm = 262-53*exp(-t/tau)           #tau=1/1.18=845 msec\n",
+      "\n",
+      "#Results:\n",
+      "print \"part(a):\\n\"\n",
+      "print \"-------------------------------------------------\"\n",
+      "print \"r/min\\tw[rad/s]\\tVa(V)\\tIa(A)\\tTload[Nm]\"\n",
+      "print \"-------------------------------------------------\"\n",
+      "print n1,\"\\t\",round(w1),\"\\t\\t\",round(Va1),\"\\t\",round(Ia1),\"\\t\",Tl1,\"Nm\"\n",
+      "print n2,\"\\t\",round(w2),\"\\t\\t\",round(Va2),\"\\t\",round(Ia2),\"\\t\",Tl2,\"Nm\"\n",
+      "print \"-------------------------------------------------\"\n",
+      "print \"\\npart (b):\"\n",
+      "print \" The resultant motor speed, n = 2500 - 50*exp(-t/tau) where tau=20.7 msec\"\n",
+      "\n",
+      "print \"\\npart (c):\"\n",
+      "print \" The resultant motor speed, wm = 262 - 53*exp(-t/tau) where tau=845 msec\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "part(a):\n",
+        "\n",
+        "-------------------------------------------------\n",
+        "r/min\tw[rad/s]\tVa(V)\tIa(A)\tTload[Nm]\n",
+        "-------------------------------------------------\n",
+        "2000 \t209.0 \t\t410.0 \t119.0 \t228.0 Nm\n",
+        "2500 \t262.0 \t\t513.0 \t149.0 \t285.0 Nm\n",
+        "-------------------------------------------------\n",
+        "\n",
+        "part (b):\n",
+        " The resultant motor speed, n = 2500 - 50*exp(-t/tau) where tau=20.7 msec\n",
+        "\n",
+        "part (c):\n",
+        " The resultant motor speed, wm = 262 - 53*exp(-t/tau) where tau=845 msec\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 11.7, Page number: 581"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "\n",
+      "\n",
+      "#Variable Calculations:\n",
+      "f1=60                                #Initial frequency(Hz)\n",
+      "f2=50                               #Changed frequency(Hz)\n",
+      "Xs=0.836                            #Saturated synch reactance(ohm)\n",
+      "Va=1+0j                             #Armature voltage(V p.u)\n",
+      "Ia=1+0j                             #Armature current(A p.u)\n",
+      "If_rated=2.84                       #Rated field current(A)\n",
+      "p=6                                 #No. of poles\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#for part (a):\n",
+      "ns1=120*f1/p\n",
+      "ns2=120*f2/p\n",
+      "Eaf=Va-1j*Xs*Ia*exp(1j*0)          #field voltage(V)\n",
+      "Ifo=abs(Eaf)*If_rated                   #motor field current(A)\n",
+      "\n",
+      "#for part(b):\n",
+      "#Eaf= (wm/wmo)*(If/Ifo)*Eafo\n",
+      "If=Ifo\n",
+      "\n",
+      "#Results:\n",
+      "print \"part(a):\"\n",
+      "print \"(i)  The motor speed:\",ns1,\"r/min\"\n",
+      "print \"(ii) The motor field current:\",round(Ifo,2),\"A\"\n",
+      "print \"part(b):\"\n",
+      "print \"(i)  The changed speed:\",ns2,\"A\"\n",
+      "print \"(ii) The mototr field current:\",round(If,2),\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "part(a):\n",
+        "(i)  The motor speed: 1200.0 r/min\n",
+        "(ii) The motor field current: 3.7 A\n",
+        "part(b):\n",
+        "(i)  The changed speed: 1000.0 A\n",
+        "(ii) The mototr field current: 3.7 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 11.8, Page number: 588"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "from sympy import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "iF=2.84                                 #rated field current(A)\n",
+      "Vbase=220                               #base voltage(V)\n",
+      "Eaf=220/sqrt(3)                         #Rms voltage line-to-neutral(V)\n",
+      "f=60                                    #Hz\n",
+      "p=6                                     #poles\n",
+      "P_rated=45*10**3                        #rated power(W)\n",
+      "Xs_pu=0.836                             #per unit synchronous reactance(ohm)\n",
+      "\n",
+      "#Calculations:\n",
+      "we=2*pi*f\n",
+      "Laf=sqrt(2)*Eaf/(we*iF)                 #Armature field reactance(H)\n",
+      "T_rated=P_rated/(we*2/p)\n",
+      "#setting rated values to reference values.\n",
+      "Tref=T_rated\n",
+      "iFref=iF\n",
+      "iQ=round((2/3)*(2/p)*Tref/(Laf*iFref),2)\n",
+      "iD=0\n",
+      "\n",
+      "#since theta_me=wc*t, iD=0,we have,\n",
+      "t=symbols('t')\n",
+      "wc=120*pi\n",
+      "def ia(t):\n",
+      "    return iD*cos(wc*t)-iQ*sin(wc*t)\n",
+      "def ib(t):\n",
+      "    return iD*cos(wc*t-2*pi/3)-iQ*sin(wc*t-2*pi/3)\n",
+      "def ic(t):\n",
+      "    return iD*cos(wc*t+2*pi/3)-iQ*sin(wc*t+2*pi/3)\n",
+      "Ibase=P_rated/(sqrt(3)*Eaf)\n",
+      "Imax=round(ia((pi/(2*wc))))\n",
+      "Ia=1j*abs(round(Imax/sqrt(2)))\n",
+      "Eaf=1j*we*Laf*iF/sqrt(2)\n",
+      "Zbase=Vbase**2/P_rated\n",
+      "Xs=Xs_pu*Zbase\n",
+      "Va=1j*Xs*Ia+Eaf                             #line-to-neutral voltage\n",
+      "Vt=abs(sqrt(3)*Va)/Vbase                #p.u terminal voltage(line-to-line)(V)\n",
+      "\n",
+      "#Results:\n",
+      "print \"part(a):\"\n",
+      "print \"\\tia(t)=\",ia(t),\"A\"\n",
+      "print \"\\tib(t)=\",ib(t),\"A\"\n",
+      "print \"\\tic(t)=\",ic(t),\"A\"\n",
+      "print \"part(b):\"\n",
+      "print \"\\tTerminal voltage:\",round(float(Vt),2),\"per unit\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "part(a):\n",
+        "\tia(t)= -167.01*sin(120*pi*t) A\n",
+        "\tib(t)= 167.01*sin(120*pi*t + pi/3) A\n",
+        "\tic(t)= -167.01*cos(120*pi*t + pi/6) A\n",
+        "part(b):\n",
+        "\tTerminal voltage: 1.3 per unit\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 11.9, Page number: 591"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "iF=2.84                                 #rated field current(A)\n",
+      "Vrated=220                              #rated terminal voltage,l-l(V)\n",
+      "Ibase=118                               #base current(A)\n",
+      "Eaf=220/sqrt(3)                         #Rms voltage, line-to-neutral(V)\n",
+      "f=60                                    #Hz\n",
+      "p=6                                     #poles\n",
+      "P_rated=45*10**3                        #rated power(W)\n",
+      "Xs=0.899                                #Synchronous reactance(ohm)\n",
+      "Xs_pu=0.836                             #per unit synchronous reactance(ohm)\n",
+      "Tref=358                                #Reference torque(Nm) (from Ex11.8)\n",
+      "\n",
+      "#Calculations:\n",
+      "Va=Vrated/sqrt(3)                        #base voltage, line to neutral(V)\n",
+      "we=2*pi*f\n",
+      "wm=(2/p)*we\n",
+      "Laf=sqrt(2)*Eaf/(we*iF)                 #Armature field reactance(H)\n",
+      "Ia=Tref*wm/(3*Va)\n",
+      "Ls=Xs/we                                #Synchronous inductance(mH)\n",
+      "delta=-atan(we*Ls*Ia/Va)\n",
+      "iQ_ref=sqrt(2)*Ia*cos(delta)\n",
+      "iD_ref=sqrt(2)*Ia*sin(delta)\n",
+      "iF_ref=(2./3)*(2/p)*Tref/(Laf*iQ_ref)\n",
+      "\n",
+      "#since motor is running at rated voltage, base voltage and rated voltage \n",
+      "# are assumed to be same.\n",
+      "Va_pu=Va/Va                      \n",
+      "Ia_pu=Ia/Ibase\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The reqd motor field current:\",round(iF_ref,2),\"A\"\n",
+      "print \"Per unit voltage:\",Va_pu,\"p.u\"\n",
+      "print \"Per unit current:\",round(Ia_pu),\"p.u\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " The reqd motor field current: 3.7 A\n",
+        "Per unit voltage: 1.0 p.u\n",
+        "Per unit current: 1.0 p.u\n"
+       ]
+      }
+     ],
+     "prompt_number": 10
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 11.10, Page number: 593"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "ns=4000                             #rated speed(rpm)\n",
+      "Va=220                              #rated voltage(V)\n",
+      "Ls=1.75*10**-3                      #synchronous inductance(H)\n",
+      "Prated=25000                        #Watts\n",
+      "n=3200                              #rated OC speed(rpm)\n",
+      "p=2                                 #No. of poles\n",
+      "\n",
+      "#Calculations:\n",
+      "#for part(a):\n",
+      "Eaf=Va/sqrt(3)\n",
+      "wm=ns*pi/30                         #rad/sec\n",
+      "Trated=Prated/wm\n",
+      "we=(p/2)*n*pi/30\n",
+      "lambdaPM=sqrt(2)*Eaf/we             #flux linked wth permanent magnet(Wb)  \n",
+      "Tref=Trated*0.65                #since motor is operated at 65% of Trated\n",
+      "iQref=(2./3)*(2/p)*(Tref/lambdaPM)\n",
+      "\n",
+      "#for part(b:)\n",
+      "lambdaD=lambdaPM                         #since iD=0\n",
+      "lambdaQ=Ls*iQref\n",
+      "lambdaa=sqrt((lambdaD**2+lambdaQ**2)/2)  #rms line-to-neutral armature flux(Wb)\n",
+      "lambdaa_base=Eaf/wm\n",
+      "lambda_pu=lambdaa/lambdaa_base\n",
+      "\n",
+      "#for part(c)\n",
+      "lambdaD=sqrt(2*(lambdaa_base)**2-lambdaQ**2)\n",
+      "iDref=(lambdaD-lambdaPM)/Ls\n",
+      "Ia=sqrt((iDref**2+iQref**2)/2)          #rms armature current(A)\n",
+      "Ibase=Prated/(sqrt(3)*Va)\n",
+      "I_pu=Ia/Ibase\n",
+      "\n",
+      "#Results:\n",
+      "print \"(a)  Required quadrature-axis current:\",round(iQref,1),\"A\"\n",
+      "print \"(b)  Resultant armature flux linkage\",round(lambda_pu,2),\"p.u\"\n",
+      "print \"(c)  iD:\",round(iDref,1),\"A\"\n",
+      "print \"     Rms value of armature current:\",round(Ia),\"A\"\n",
+      "print \"     Per unit value of armature current:\",round(I_pu,2),\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a)  Required quadrature-axis current: 48.2 A\n",
+        "(b)  Resultant armature flux linkage 1.27 p.u\n",
+        "(c)  iD: -66.1 A\n",
+        "     Rms value of armature current: 58.0 A\n",
+        "     Per unit value of armature current: 0.88 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 11
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 11.11, Page number: 600"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "V10=230/sqrt(3)\n",
+      "Nph=3\n",
+      "p=4\n",
+      "fe0=60\n",
+      "R1=0.095                                #Armature resistance(ohm)\n",
+      "R2=0.2                                  #Rotor resistance(ohm)\n",
+      "X10=0.680                               #Armature leakage reactance(ohm)\n",
+      "X20=0.672                               #Rotor leakage reactance(ohm)\n",
+      "Xm0=18.7                                #Inductice reactance(ohm)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#taking two frequency values:\n",
+      "fe1=40\n",
+      "fe2=60\n",
+      "\n",
+      "for m in range(1,3,1):\n",
+      "    if m==1:\n",
+      "        fe=fe1\n",
+      "    else:\n",
+      "        fe=fe2\n",
+      "    X1=X10*(fe/fe0)\n",
+      "    X2=X20*(fe/fe0)\n",
+      "    Xm=Xm0*(fe/fe0)\n",
+      "    V1=V10*(fe/fe0)\n",
+      "    \n",
+      "    ws=4*pi*fe/p\n",
+      "    ns=120*fe/p\n",
+      "    V1eq=abs(V1*1j*Xm/(R1+1j*(X1+Xm)))\n",
+      "    Z1eq=1j*Xm*(R1+1j*X1)/(R1+1j*(X1+Xm))\n",
+      "    R1eq=Z1eq.real\n",
+      "    X1eq=Z1eq.imag\n",
+      "    \n",
+      "#Search over the slip until the Pload = Pmech   \n",
+      "    s=0                             #slip initialised to 0\n",
+      "    error=1\n",
+      "    \n",
+      "    while error >=0:\n",
+      "        s=s+0.00001\n",
+      "        rpm=ns*(1-s)\n",
+      "        wm=ws*(1-s)\n",
+      "        Tmech=(1/ws)*Nph*V1eq**2*(R2/s)\n",
+      "        Tmech = Tmech/((R1+R2/s)**2 + (X1+X2)**2)\n",
+      "        Pmech=Tmech*wm\n",
+      "        Pload=10.5*10**3*(rpm/1800)**3\n",
+      "        error=Pload-Pmech\n",
+      "    \n",
+      "    print \"\\nFor fe =\",fe,\"Hz :\"\n",
+      "    print \"\\tTerminal voltage=\",round(V1*sqrt(3)),\"V l-l\"\n",
+      "    print \"\\trpm =\",round(rpm)\n",
+      "    print \"\\tslip =\",round(100*s,1),\"%\"\n",
+      "    print \"\\tPload =\",round(Pload/1000,2),\"kW\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "\n",
+        "For fe = 40 Hz :\n",
+        "\tTerminal voltage= 153.0 V l-l\n",
+        "\trpm = 1166.0\n",
+        "\tslip = 2.8 %\n",
+        "\tPload = 2.86 kW\n",
+        "\n",
+        "For fe = 60 Hz :\n",
+        "\tTerminal voltage= 230.0 V l-l\n",
+        "\trpm = 1721.0\n",
+        "\tslip = 4.4 %\n",
+        "\tPload = 9.17 kW\n"
+       ]
+      }
+     ],
+     "prompt_number": 12
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 11.12, Page number: 608"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "V10=230/sqrt(3)\n",
+      "Nph=3\n",
+      "p=4\n",
+      "fe0=60\n",
+      "R1=0.095                                #Armature resistance(ohm)\n",
+      "R2=0.2                                  #Rotor resistance(ohm)\n",
+      "X10=0.680                               #Armature leakage reactance(ohm)\n",
+      "X20=0.672                               #Rotor leakage reactance(ohm)\n",
+      "Xm0=18.7                                #Inductice reactance(ohm)\n",
+      "n=1680                                  #rpm\n",
+      "Pmech=9.7*10**3                         #Electromagnetic power(W)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "we0=2*pi*fe0\n",
+      "Lm=Xm0/we0\n",
+      "LS=Lm+X10/we0\n",
+      "LR=Lm+X20/we0\n",
+      "Ra=R1\n",
+      "RaR=R2\n",
+      "lambda_rated=sqrt(2)*V10/we0\n",
+      "lambdaDR=lambda_rated\n",
+      "#for specified operating condition\n",
+      "wm=n*(pi/30)\n",
+      "Tmech=Pmech/wm\n",
+      "iQ=(2/3)*(2/p)*(LR/Lm)*(Tmech/lambdaDR)\n",
+      "iD=lambdaDR/Lm\n",
+      "Ia=sqrt((iD**2+iQ**2)/2)\n",
+      "wme=(p/2)*wm\n",
+      "we=wme+(RaR/LR)*(iQ/iD)\n",
+      "fe=we/(2*pi)\n",
+      "Va=sqrt(((Ra*iD-we*(LS-Lm**2/LR)*iQ)**2 + (Ra*iQ+we*LS*iD)**2)/2)\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Rms amplitude of the armature current:\",round(Ia,1),\"A\"\n",
+      "print \"The electrical frequency:\",round(fe,1),\"Hz\"\n",
+      "print \"Rms terminal voltage:\",round(sqrt(3)*Va,1),\"V  line-line\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Rms amplitude of the armature current: 27.9 A\n",
+        "The electrical frequency: 58.4 Hz\n",
+        "Rms terminal voltage: 243.6 V  line-line\n"
+       ]
+      }
+     ],
+     "prompt_number": 13
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 11.13, Page number: 610"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "from math import *\n",
+      "from pylab import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "P_rated = 12*10**3                       #Watts\n",
+      "V_rated = 230                            #Rated line-line voltage(v)\n",
+      "Va_rated = 230/sqrt(3)                   #Rated line to neutral(V)\n",
+      "fe_rated = 60                            #Hz\n",
+      "we_rated = 2*pi*fe_rated                 #rad/sec\n",
+      "lambda_rated = sqrt(2)*Va_rated/we_rated #Wb\n",
+      "I_rated = P_rated/(sqrt(3)*V_rated)      #A\n",
+      "Ipeak_base = sqrt(2)*I_rated            #A\n",
+      "p = 4                                   #poles\n",
+      "\n",
+      "V10=V_rated/sqrt(3)\n",
+      "R1=0.095                                #Armature resistance(ohm)\n",
+      "R2=0.2                                  #Rotor resistance(ohm)\n",
+      "X10=0.680                               #Armature leakage reactance(ohm)\n",
+      "X20=0.672                               #Rotor leakage reactance(ohm)\n",
+      "Xm0=18.7                                #Inductice reactance(ohm)\n",
+      "\n",
+      "#Calculations:\n",
+      "Lm = Xm0/we_rated;\n",
+      "LS = Lm + X10/we_rated;\n",
+      "LR = Lm + X20/we_rated;\n",
+      "Ra = R1\n",
+      "RaR = R2\n",
+      "#operating point:\n",
+      "n = 1680                                #rpm\n",
+      "lambdaDR=lambda_rated\n",
+      "wm = n*pi/30\n",
+      "wme = (p/2)*wm\n",
+      "Pmech = 9.7*10**3\n",
+      "Tmech = Pmech/wm\n",
+      "lambda_DRpu=[0]*42\n",
+      "iDpu=[0]*42\n",
+      "Iapu=[0]*42\n",
+      "fe=[0]*42\n",
+      "Vapu=[0]*42\n",
+      "\n",
+      "for n in range(1,43,1):\n",
+      "    lambdaDR = (0.8+(n-1)*0.4/40)*lambda_rated\n",
+      "    lambda_DRpu[n-1]=lambdaDR/lambda_rated\n",
+      "    iQ=(2/3)*(2/p)*(LR/Lm)*(Tmech/lambdaDR)\n",
+      "    iD=(lambdaDR/Lm)\n",
+      "    iDpu[n-1]=iD/Ipeak_base\n",
+      "    iQR=-(Lm/LR)**iQ\n",
+      "    Ia=sqrt((iD**2+iQ**2)/2)\n",
+      "    Iapu[n-1]=Ia/I_rated\n",
+      "    we=wme-(RaR/LR)*(iQ/iD)\n",
+      "    fe[n-1]=we/(2*pi)\n",
+      "    Va_rms=sqrt(((Ra*iD-we*(LS-Lm**2/LR)*iQ)**2 +(Ra*iQ+ we*LS*iD)**2)/2)\n",
+      "    Vapu[n-1]=Va_rms/Va_rated\n",
+      "\n",
+      "#Results:\n",
+      "print \"The required plot is as shown:\"\n",
+      "plot(iDpu,Iapu)\n",
+      "plot(iDpu,Vapu,':')\n",
+      "xlabel('i_D [per unit] ')\n",
+      "ylabel('per unit')\n",
+      "annotate('Ia',xy=(0.21,1.05))\n",
+      "annotate('Va',xy=(0.21,0.85))\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The required plot is as shown:\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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0hYVFTV1dXffq6mpLAKitrTU/fvx4qLe3d8bTFpIYv+qGajx4+AAA0M+6Hz4f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\nEOPH4wETJgAnTrCd6zk5gKs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U+FGjRp0aMGDAn6tXr/5Qc27Pnj1zg4KCLvn5+aW/+uqr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\nD0IIIVr7PxA8wzUjE2EJAAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x27d0450>"
+       ]
+      }
+     ],
+     "prompt_number": 6
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter2.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter2.ipynb
new file mode 100755
index 00000000..855c3bd6
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter2.ipynb
@@ -0,0 +1,761 @@
+{
+ "metadata": {
+  "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 2: Transformers"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.1, Page number: 63"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration\n",
+      "Pc=16                               #Core loss at Bmax=1.5 T\n",
+      "VIrms=20                            #Voltamperess for the core\n",
+      "Vrms=194                            #Rms induced voltage(V)\n",
+      "\n",
+      "\n",
+      "#Calculation:\n",
+      "pf=Pc/VIrms\n",
+      "a=math.acos(pf)\n",
+      "I=VIrms/Vrms\n",
+      "Ic=I*pf\n",
+      "Im=I*math.fabs(math.sin(a))\n",
+      "\n",
+      "#Results:\n",
+      "print \"Power factor = \", round(pf,1),\"lagging\"\n",
+      "print \"The core-loss current,Ic =\", round(Ic,3), \"A rms\"\n",
+      "print \"The magnetising current,Im =\", round(Im,2),\"A rms\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Power factor =  0.8 lagging\n",
+        "The core-loss current,Ic = 0.082 A rms\n",
+        "The magnetising current,Im = 0.06 A rms\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.2, Page number: 67"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declarations:\n",
+      "k=5                                 #turns ratio,N1/N2\n",
+      "Z2=1+4j                             #Impedance of secondary side(ohm)\n",
+      "Vp=120                              #primary voltage(V)\n",
+      "\n",
+      "#Calculations:\n",
+      "Z2p=k**2*(Z2)\n",
+      "I=Vp/Z2p\n",
+      "Is=k*I\n",
+      "\n",
+      "#Results:\n",
+      "print \"Primary current:\",complex(round(I.real,2),round(I.imag,2)), \"A rms\"\n",
+      "print \"Current in the short:\",round(Is.real,2)+1j*round(Is.imag,2),\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Primary current: (0.28-1.13j) A rms\n",
+        "Current in the short: (1.41-5.65j) A\n"
+       ]
+      }
+     ],
+     "prompt_number": 53
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.4, Page number: 74"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import cmath\n",
+      "\n",
+      "#Variable declaration:\n",
+      "R1=0.72                                 #Resistance at high voltage side(ohm)\n",
+      "R2=0.70                                 #Resistance at low voltage side(ohm)\n",
+      "X1=0.92                                 #Reactance at high voltage side(ohm)\n",
+      "X2=0.90                                 #Reactance at low voltage side(ohm)\n",
+      "Zq=632+4370j                            #Impedance of exciting circuit(ohm)\n",
+      "\n",
+      "#Calculations:\n",
+      "Req=R1+R2\n",
+      "Xeq=X1+X2       \n",
+      "Vcd=2400*Zq/(Zq+complex(R1,X1))\n",
+      "V=complex(round(Vcd.real,2),round(Vcd.imag,3))\n",
+      "\n",
+      "#Results:\n",
+      "print \"Req:\",Req,\"ohm\",\" and  Xeq:\",Xeq,\"ohm\"\n",
+      "print \"Voltage at low voltage terminal:\",V,\"V\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Req: 1.42 ohm  and  Xeq: 1.82 ohm\n",
+        "Voltage at low voltage terminal: (2399.45+0.316j) V\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.5, Page number: 76"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Zf=0.30+.160j                           #Impedance of feeder(ohm)\n",
+      "Zeq=1.42+3.42j             #Equiv.impedance of transformer refd. to primary(ohm)\n",
+      "k=2400/240                              #turns ratio\n",
+      "P=50000                                 #power rating of the transformer(VA)\n",
+      "Vs=2400                                 #sending end vltage of feeder(V)\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "I=P/2400                                #Rated current(A)\n",
+      "theta=math.acos(0.80)\n",
+      "Zt=Zf+Zeq                      #combned impedance of feeder & transformer(ohm)\n",
+      "R=Zt.real\n",
+      "X=Zt.imag\n",
+      "bc=I*X*math.cos(theta)-I*R*math.sin(theta)\n",
+      "ab=I*R*math.cos(theta)+I*X*math.sin(theta)\n",
+      "Ob=(Vs**2-bc**2)**0.5\n",
+      "V2=Ob-ab\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The voltage at the secondary terminals:\",round(V2/10,0),\"V\\n\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The voltage at the secondary terminals: 233.0 V\n",
+        "\n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.6, Page number: 80"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import cmath\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration:\n",
+      "#short ckt test readings:\n",
+      "Vsc=48                          #voltage(V)\n",
+      "Isc=20.8                        #current(A)\n",
+      "Psc=617                         #power(W)\n",
+      "    \n",
+      "#Open ckt test readings:\n",
+      "Vs=240                         #Voltage(V)\n",
+      "I=5.41                          #current(A)\n",
+      "P=186                           #power(W)\n",
+      "V2ph=2400                        #voltage at full load at high voltage side(V)\n",
+      "pf=0.8                          #lagging power factor at full load\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "theta=math.acos(pf)\n",
+      "Zeqh=Vsc/Isc                    #subscript h refers to high voltage side\n",
+      "Reqh=Psc/Isc**2\n",
+      "Xeqh=math.sqrt(Zeqh**2-Reqh**2)\n",
+      "Ih=50000/V2ph\n",
+      "Pout=50000*pf\n",
+      "Pwind=Ih**2*Reqh\n",
+      "Ptloss=P+Pwind\n",
+      "e=(1-Ptloss/(Ptloss+Pout))*100\n",
+      "Iph=(50000/2400)*complex(math.cos(theta),math.sin(-theta))\n",
+      "V1ph=V2ph+Iph*complex(Reqh,Xeqh)\n",
+      "r=(round(abs(V1ph),2)-2400)*100/V2ph\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The efficiency of the transformer:\",round(e,0),\"%\"\n",
+      "print \"Volatge Regulation:\",round(r,2),\"%\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The efficiency of the transformer: 98.0 %\n",
+        "Volatge Regulation: 1.94 %\n"
+       ]
+      }
+     ],
+     "prompt_number": 6
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.7, Page number: 82"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "#Varaible declaration:\n",
+      "Vx=2400                                 #Voltage at low voltage side(V)\n",
+      "Vbc=2400                                 #Voltage across branch bc(V)\n",
+      "Vab=240                                #Voltage induced in winding ab(V)\n",
+      "Pl=803                                  #transformer losses(W)\n",
+      "pf=0.8                                  #Power factor of the transformer\n",
+      "\n",
+      "#Calculations:\n",
+      "Vh=Vab+Vbc\n",
+      "Ih=50000/Vab\n",
+      "KVA=Vh*Ih/1000                          #Kva rating\n",
+      "P=pf*550000\n",
+      "e=(1-Pl/(P+Pl))*100\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Voltage ratings, Vh:\",Vh,\"V  \", \"&  Vx:\",Vx,\"V\"\n",
+      "print \"KVA rating as an autotransformer:\",KVA,\"KVA\"\n",
+      "print \"full-load efficiency:\", round(e,2),\"%\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Voltage ratings, Vh: 2640 V   &  Vx: 2400 V\n",
+        "KVA rating as an autotransformer: 550.0 KVA\n",
+        "full-load efficiency: 99.82 %\n"
+       ]
+      }
+     ],
+     "prompt_number": 24
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.8, Page number: 87"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Vl1=4160                      #line-to-line voltage at feeder's sending end(V)\n",
+      "Zf=0.30+.160j                           #Impedance of feeder(ohm)\n",
+      "Zeq=1.42+3.42j             #Equiv.impedance of transformer refd. to primary(ohm)\n",
+      "k=2400/240                              #turns ratio\n",
+      "P=50000                                 #power rating of the transformer(VA)\n",
+      "Vs=2400                                 #sending end vltage of feeder(V)\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Calculation:\n",
+      "#this problem can be treated on a single phase basis,\n",
+      "#and whole problem is similar to Ex 2.5.\n",
+      "\n",
+      "I=P/2400                                #Rated current(A)\n",
+      "theta=math.acos(0.80)\n",
+      "Zt=Zf+Zeq                      #combned impedance of feeder & transformer(ohm)\n",
+      "R=Zt.real\n",
+      "X=Zt.imag\n",
+      "bc=I*X*math.cos(theta)-I*R*math.sin(theta)\n",
+      "ab=I*R*math.cos(theta)+I*X*math.sin(theta)\n",
+      "Ob=(Vs**2-bc**2)**0.5\n",
+      "V2=Ob-ab\n",
+      "Vload=V2/k\n",
+      "\n",
+      "#Results:\n",
+      "print \"The line to line voltage:\",round(Vload,0),\"V line-to-line\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The line to line voltage: 233.0 V line-to-line\n"
+       ]
+      }
+     ],
+     "prompt_number": 25
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.9, Page number: 89"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "import cmath\n",
+      "\n",
+      "#Variable decclaration:\n",
+      "#All resistances, reactances, & impedances are on per phase basis\n",
+      "Req=1.42       #Series resist. of del-del transformer referred to 2400v side(ohm)\n",
+      "Xeq=1.82       #Series react. of del-del transformer referred to 2400v side(ohm)\n",
+      "Zs=0.17+0.92j                   #Equiv impedance of sending end transformer(ohm)\n",
+      "Xf=0.8j                          #Reactance of the feeder(ohm)\n",
+      "Vf=2400                         #Voltage of the feeder(V)\n",
+      "k=10                            #turns ratio(Vp/Vs)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "Zt=(complex(Req,Xeq)/3)+Zs+Xf\n",
+      "Ztot=complex(round(Zt.real,2),round(Zt.imag,2))\n",
+      "If=math.floor(Vf/(math.sqrt(3))/round(abs(Ztot),2))\n",
+      "I1=If/math.sqrt(3)\n",
+      "I2=I1*k\n",
+      "Ic=I2*math.sqrt(3)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Short circuit current in the 2400 feeder, per phase wires:\",round(Ic,1),\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Short circuit current in the 2400 feeder, per phase wires: 5720.0 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 8
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.10, Page number: 92"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import cmath\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "X1=143                             #Reactance of primary(ohm)\n",
+      "X21=164                           #Reactance of secondary ref. to primary(ohm)\n",
+      "Xm=163*10**3                           #Reactance of magnetising ckt(ohm)\n",
+      "R1=128                             #Resistance of primary(ohm)\n",
+      "R21=141                           #Resistane of secondary ref. to primary(ohm)\n",
+      "k=20                              #turns ratio(2400/120)\n",
+      "V1=2400                             #primary voltage(V)\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "V2=(V1/k)*complex(0,Xm)/complex(R1,X1+Xm)\n",
+      "mag=abs(V2)\n",
+      "ph=degrees(cmath.phase(V2))\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Magnitude of V2:\",round(mag,2),\"V\"\n",
+      "print \"Phase of V2:\",round(ph,3),\"degrees\"\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Magnitude of V2: 119.89 V\n",
+        "Phase of V2: 0.045 degrees\n"
+       ]
+      }
+     ],
+     "prompt_number": 10
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.11, Page number: 94"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import cmath\n",
+      "\n",
+      "\n",
+      "#variable declaration:\n",
+      "X1=44.8*10**-6                  #Reactance of the primary(ohm)\n",
+      "R1=10.3*10**-6                  #Resistance of the primary(ohm)\n",
+      "X21=54.3*10**-6          #Reactance of the secondary refd. to primary(ohm)\n",
+      "R21=9.6*10**-6                  #Resistance of secondary ref. to primary(ohm)\n",
+      "Xm=17.7*10**-3                  #Reactance of the magnetising ckt(ohm)\n",
+      "k=5/800                         #turms ratio(I2/I1)\n",
+      "Zl=2.5+0j                       #Impedance ofthe load(ohm)\n",
+      "I1=800                          #primary current(A)\n",
+      "\n",
+      "#Calculations:\n",
+      "Zp=k**2*Zl\n",
+      "I2=I1*k*Xm*1j/(Zp+R21+(X21+Xm)*1j)\n",
+      "phase=cmath.phase(I2)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Magnitude of current:\",round(abs(I2),2),\"A\"\n",
+      "print \"Phase of the current:\",round(math.degrees(phase),3),\"degrees\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Magnitude of current: 4.98 A\n",
+        "Phase of the current: 0.346 degrees\n"
+       ]
+      }
+     ],
+     "prompt_number": 11
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.12, Page number: 97"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration:\n",
+      "XL=0.040                                #Reactance at l.v side(ohm)\n",
+      "XH=3.75                                 #Reactance at h.v side(ohm)\n",
+      "Xm=114                                  #Magnetising reactance(ohm)\n",
+      "RL=0.76*10**-3                          #Resistance at l.v.side(ohm)\n",
+      "RH=0.085                                #Resistance at l.v.side(ohm)\n",
+      "VA_base=100*10**6                       #base VA\n",
+      "V_base=7.97*10**3                       #base voltage(V)\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#for l.v side\n",
+      "VA_base=100*10**6                       #base VA\n",
+      "V_base=7.97*10**3                       #base voltage(V)\n",
+      "Rbase1=Xbase1=V_base**2/VA_base\n",
+      "\n",
+      "#for h.v side:\n",
+      "VA_base=100*10**6                       #base VA\n",
+      "V_base=79.7*10**3                       #base voltage(V)\n",
+      "Rbase2=Xbase2=V_base**2/VA_base\n",
+      "\n",
+      "XL_pu=XL/Xbase1\n",
+      "XH_pu=XH/Xbase2\n",
+      "Xm_pu=Xm/Xbase1\n",
+      "RL_pu=RL/Rbase1\n",
+      "RH_pu=RH/Rbase2\n",
+      "K_pu=1                                  #per unit utrns ratio\n",
+      "\n",
+      "#Results:\n",
+      "print \"The per unit parameters are:\"\n",
+      "print \"XL_pu =\",round(XL_pu,3),\"p.u\"\n",
+      "print \"XH_pu =\",round(XH_pu,4),\"p.u\"\n",
+      "print \"Xm_pu =\",math.ceil(Xm_pu),\"p.u\"\n",
+      "print \"RL_pu =\",round(RL_pu,4),\"p.u\"\n",
+      "print \"XL_pu =\",round(RH_pu,4),\"p.u\"\n",
+      "print \"Turns ratio =\",K_pu,\"p.u\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The per unit parameters are:\n",
+        "XL_pu = 0.063 p.u\n",
+        "XH_pu = 0.059 p.u\n",
+        "Xm_pu = 180.0 p.u\n",
+        "RL_pu = 0.0012 p.u\n",
+        "XL_pu = 0.0013 p.u\n",
+        "Turns ratio = 1 p.u\n"
+       ]
+      }
+     ],
+     "prompt_number": 59
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.13, Page number: 98"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import cmath\n",
+      "\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Ic=5.41                             #Exciting current ref. to low volt. side(A)\n",
+      "k=10                                #turns ratio(N1/N2=2400/240)\n",
+      "Vbh=2400                            #base voltage at primary side(V)\n",
+      "Vbl=240                             #base voltage at secondary side(V)\n",
+      "Ibh=20.8                            #base current at primary side(A)\n",
+      "Ibl=208                             #base current at secondary side(A)\n",
+      "Z=1.42+1.82j                    #Equiv.impedance ref.to high voltage side(ohm)\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "Zbh=Vbh/Ibh\n",
+      "Zbl=Vbl/Ibl\n",
+      "Icl=Ic/Ibl\n",
+      "Ich=Ic/(Ibh*k)\n",
+      "Zl=Z/(k**2*Zbl)\n",
+      "Zh=Z/Zbh\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Per unit exciting current on low volt. sides:\",round(Icl,3,),\"A\"  \n",
+      "print \"Per unit exciting current on high volt. sides:\",round(Ich,3),\"A\"\n",
+      "print \"per unit equiv.impedance at low volt. sides:\",round(Zl.real,4)+round(Zl.imag,4)*1j,\"ohm\"\n",
+      "print \"per unit equiv.impedance at high voltage sides:\",round(Zh.real,4)+round(Zh.imag,4)*1j,\"ohm\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Per unit exciting current on low volt. sides: 0.026 A\n",
+        "Per unit exciting current on high volt. sides: 0.026 A\n",
+        "per unit equiv.impedance at low volt. sides: (0.0123+0.0158j) ohm\n",
+        "per unit equiv.impedance at high voltage sides: (0.0123+0.0158j) ohm\n"
+       ]
+      }
+     ],
+     "prompt_number": 12
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.14, Page number: 100"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Vb=24000               #Base voltage of secondary of sending end transformer(V)    \n",
+      "Z=0.17+0.92j      #Impedance of sending end transformer ref. to 2400V side(ohm)\n",
+      "P=150                       #Power rating of the transformer(KVA)\n",
+      "V=2400                      #Primary voltage of sending end transformer(v)\n",
+      "Ztot=0.64+2.33j                 #Total series impedance(ohm)\n",
+      "\n",
+      "#Calculations:\n",
+      "Zb=V**2/(P*10**3)\n",
+      "Ztotb=Ztot/Zb\n",
+      "Vsb=1                           #Vs in terms of per unit values\n",
+      "Isc=Vsb/abs(Ztotb)                   #Short current in per unit values(A)\n",
+      "Ib1=P*10**3/(sqrt(3)*2400)       #base current of the feeder at 2400V side(A)\n",
+      "If=Ib1*Isc\n",
+      "Ib2=P*10**3/(sqrt(3)*240)\n",
+      "Iscs=Isc*Ib2                     #short ckt current at 2400V afeeder side (A)\n",
+      "\n",
+      "#Results:\n",
+      "print \"Short circuit current in 2400 feeder:\",round(Iscs/10**3,2),\"KA\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Short circuit current in 2400 feeder: 5.73 KA\n"
+       ]
+      }
+     ],
+     "prompt_number": 13
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 2.15, Page number: 102"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration:\n",
+      "P=250*10**3                            #power rating of transformer(KVA)\n",
+      "Vp=2400                             #primary volatge(V)\n",
+      "Vs=460                              #secondary voltage(V)\n",
+      "Pb=100*10**3                           #new base power of transformer(KVA)\n",
+      "Vb=460                              #new base voltage(V)\n",
+      "Z=0.026+0.12j                       #series impedance on its own base(ohm)\n",
+      "Vl=438                              #load voltage(V)\n",
+      "Pl=95*10**3                         #power drawn by the load(kW)\n",
+      "\n",
+      "#Calculations:\n",
+      "Zbo=Vs**2/P                        #base impedance for the transformer(ohm)\n",
+      "Zbn=Vb**2/Pb            #base impedance for the transformer at 100KVA base(ohm)\n",
+      "Zpn=Z*Zbo/Zbn                      #base impedance at 100KVA base(ohm)\n",
+      "Vpl=Vl/Vb                           #per unit load voltage(V)\n",
+      "Ppl=Pl/Pb                          #per unit load power\n",
+      "Ipl=Ppl/Vpl                             #per unit load current(A)\n",
+      "Vpp=Vpl+Ipl*Zpn                     #high side voltage of the transformer(V) \n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The high side voltage:\",round(abs(Vpp*Vp),0),\"V\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The high side voltage: 2313.0 V\n"
+       ]
+      }
+     ],
+     "prompt_number": 14
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter3.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter3.ipynb
new file mode 100755
index 00000000..411be995
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter3.ipynb
@@ -0,0 +1,430 @@
+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:3da4e1bbe19be5f3a05399c95840acc2f1758f76d57c3a0e757cbfa9a562b633"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 3: Electromechanical-Energy-Conversion-Principles "
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.1, Page number: 114"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "from sympy import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "I=10                            #current in the coil(A)\n",
+      "Bo=0.02                         #magnetic field (T)\n",
+      "R=0.05                          #radius of the rotor(m)\n",
+      "l=0.3                           #rotor length(m)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "q=symbols('q')                  #Direction of torque\n",
+      "F1=-2*I*l*Bo*sin(q)             #Force on the coil(N)\n",
+      "T=F1*R                          #Torque scting in theta direction(Nm)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Force per unit length:\",T,\"Nm\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Force per unit length: -0.006*sin(q) Nm\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.2, Page number: 121"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "\n",
+      "\n",
+      "#Variable declaration\n",
+      "N=1000                   #No of winding turns\n",
+      "g=2                      #Air gap width(mm)\n",
+      "d=0.15                  #Magnetic core width,d (m)\n",
+      "l=0.1                    #thickness of core(0.1)\n",
+      "x,d=symbols('x d')       #where h is height of plunger(m) \n",
+      "                         #Lx is inductance as a function of x(H)\n",
+      "i=10                     #Current in the winding(A)\n",
+      "uo=4*3.14*10**-7           #permeability of free space(H/m)\n",
+      "\n",
+      "#Calculations:\n",
+      "Lx=(uo*N**2*l*d)/(2*g*10**-3)*(1-x/d)\n",
+      "Wfld=(1./2)*Lx*i**2\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The magnetic energy stored, Wfld:\",\"236*(1-x/d) J\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The magnetic energy stored, Wfld: 236*(1-x/d) J\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.3, Page number: 124"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "import numpy as np\n",
+      "from pylab import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "xdata=[0.0, 0.2, 0.4, 0.6, 0.8, 1.0, 1.2, 1.4, 1.6, 1.8, 2.0]     #(cm)\n",
+      "Ldata=[2.8, 2.26, 1.78, 1.52, 1.34, 1.26, 1.20, 1.16, 1.13, 1.11, 1.10]   #(mH)\n",
+      "I = 0.75                                                #(A)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "x=0.01*np.array(xdata)\n",
+      "L=0.001*np.array(Ldata)\n",
+      "length=len(x)\n",
+      "xmax=x[length-1]\n",
+      "a=polyfit(x,L,4)\n",
+      "xfit=[0]*102\n",
+      "Lfit=[0]*102\n",
+      "for n in range(1,102,1):\n",
+      "    xfit[n-1]=xmax*(n-1)/100\n",
+      "    Lfit[n-1]=a[0]*xfit[n-1]**4+a[1]*xfit[n-1]**3+a[2]*xfit[n-1]**2+a[3]*xfit[n-1]+a[4]\n",
+      "\n",
+      "#Plot the data and then the fit to compare (convert xfit to cm and Lfit to mH)\n",
+      "plot(xdata,Ldata,'o')\n",
+      "plot(100*np.array(xfit),1000*np.array(Lfit),'g.')\n",
+      "xlabel('x [cm] ')\n",
+      "ylabel('L [mH] ')\n",
+      "title('Inductance,L vs length,l')\n",
+      "grid()\n",
+      "print \"The required plots are shown below:\"\n",
+      "show()\n",
+      "\n",
+      "#set current to 0.75 A\n",
+      "I=0.75\n",
+      "F=[0]*102\n",
+      "for n in range(1,102,1):\n",
+      "    xfit[n-1]=0.002+0.016*(n-1)/100\n",
+      "    F[n-1]=4*a[0]*xfit[n-1]**3+3*a[1]*xfit[n-1]**2+2*a[2]*xfit[n-1]**1+a[3]\n",
+      "    F[n-1]=(I**2/2)*F[n-1]\n",
+      "plot(100*np.array(xfit),F,'b.')\n",
+      "xlabel('x  [cm]')\n",
+      "ylabel('Force [N]')\n",
+      "title('Force, F vs length,l')\n",
+      "grid()\n",
+      "\n",
+      "#Results:\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The required plots are shown below:\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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XEjUIiFIPEjUISHRhOE1wDHqozKS4mqmwolB5yatfop9BXe4KoC8oH5kQQ19b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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x2b71910>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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1Bwf8hjO6AMCURVNeKpUqbciQIdfHjh17YePGjYsSExPzVq5cuczagwP+aGue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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x3d76250>"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.4, Page number: 128"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Lo=10.6*10**-3                          #Initial inductance(H)\n",
+      "L2=2.7*10**-3                           #H\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "theta,i=symbols('theta i')\n",
+      "L=Lo+L2*cos(2*theta)\n",
+      "i=2                                     #Coil current,A\n",
+      "def T(theta):\n",
+      "    return i**2*diff(L,theta)/2\n",
+      "                                    \n",
+      "\n",
+      "#Results:\n",
+      "print \"Torque,Tfld =\",T(theta),\" N.m\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Torque,Tfld = -0.0108*sin(2*theta)  N.m\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.6, Page number: 134"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration:\n",
+      "r1=2.5*10**-2                            #radius of rotor(m)\n",
+      "h=1.8*10**-2                             #Axial length(m)\n",
+      "g=3*10**-3                               #Air gap length(m)\n",
+      "Bag=1.65                                #Magnetic field(T)\n",
+      "uo=4*pi*10**-7                          #permeability of free space(H/m)\n",
+      "\n",
+      "#Calculations:\n",
+      "H=Bag/uo\n",
+      "Ni=2*g*H\n",
+      "T=uo*(Ni)**2*h*(r1+0.5*g)/(4*g)\n",
+      "\n",
+      "#Results:\n",
+      "print \"The maximum torque:\", round(T,2),\"Nm\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The maximum torque: 3.1 Nm\n"
+       ]
+      }
+     ],
+     "prompt_number": 29
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.7, Page number: 140"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "from matplotlib import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "i1=0.8\n",
+      "i2=0.01\n",
+      "\n",
+      "\n",
+      "#Calculations & Results:\n",
+      "def df(f,x,h=0.1e-10):\n",
+      "    return ( f(x+h/2) - f(x-h/2) )/h\n",
+      "\n",
+      "\n",
+      "\n",
+      "def l11(x):\n",
+      "    return (3+cos(2*x))/1000.0\n",
+      "\n",
+      "def l12(x):\n",
+      "    return (0.3*cos(x))\n",
+      "\n",
+      "def l22(x):\n",
+      "    return (30+10*cos(2*x))\n",
+      "\n",
+      "def g(x):\n",
+      "    return ((i1**2)/2)*df(l11,x) + ((i2**2)/2)*df(l22,x) + (i1*i2)*df(l12,x)\n",
+      "\n",
+      "def r(x):\n",
+      "    return ((i1**2)/2)*df(l11,x) + ((i2**2)/2)*df(l22,x)\n",
+      "def s(x):\n",
+      "    return (i1*i2)*df(l12,x)\n",
+      "\n",
+      "x=linspace(-pi,pi,100000)\n",
+      "\n",
+      "\n",
+      "plot(x,r(x))\n",
+      "plot(x,s(x))\n",
+      "plot(x,g(x))\n",
+      "grid()\n",
+      "annotate(\"Total torque\",xy=(-0.5,0.003))\n",
+      "annotate(\"Reluctance torque\",xy=(-2,-0.0015))\n",
+      "annotate(\"Mutual Interaction torque\",xy=(1.6,-0.0026))\n",
+      "xlabel(\"Theta [radians]\")\n",
+      "ylabel(\"Torque [N.m]\")\n",
+      "xlim(-pi,pi)\n",
+      "\n",
+      "\n",
+      "#Results\n",
+      "print \"Tfld = -1.64*10**-3*sin(2*x)- 2.4*10**-3*sin(x)\"\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Tfld = -1.64*10**-3*sin(2*x)- 2.4*10**-3*sin(x)\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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wdAQOHGDxg3fvciNDRUVIhaYiEtMT0W1vN8ztMhfTOk5T6dxFMmECe7RRYwN4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\nAAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x3b09350>"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 3.9, Page number: 148"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "\n",
+      "#Variable declaration:\n",
+      "W=4.0*10**-2                            #width of plunger lower arm(m)\n",
+      "W1=4.5*10**-2                           #width of plunger upper arm(m)\n",
+      "D=3.5*10**-2                            #depth of plunger (m)\n",
+      "d=8*10**-3                              #length of magnet(m)\n",
+      "go=1*10**-3                             #air gap length(m)\n",
+      "uo=4*pi*10**-7                          #Permeability of free space(A.turns/m)\n",
+      "ur=1.06*uo                              #Relativity permeability\n",
+      "Hc1=-940                                #Magnetising force(kA/m)\n",
+      "Bt=1.25                                 #Magnetic field induction(T)\n",
+      "N=1500                                  #No of turns\n",
+      "x=3*10**-3                              #Position of plunger(m)\n",
+      "\n",
+      "#Calculation:\n",
+      "Ni=-Hc1*d*10**3\n",
+      "Rx=x/(uo*W1*D)\n",
+      "Ro=go/(uo*W*D)\n",
+      "Rm=d/(ur*W*D)\n",
+      "f=-((Ni)**2)/(uo*W1*D*(Rx+Ro+Rm)**2)\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The x-directed force:\",round(f,1),\"N\"\n",
+      "print \"Current in the excitation winding:\",round(Ni/N,2),\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The x-directed force: -703.3 N\n",
+        "Current in the excitation winding: 5.01 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 31
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter4.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter4.ipynb
new file mode 100755
index 00000000..aef0df05
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter4.ipynb
@@ -0,0 +1,277 @@
+{
+ "metadata": {
+  "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 4: Introduction to Rotating Machines"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 4.2, Page number: 199"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "uo=4*pi*10**-7                          #Permeabolity of free space(H/m)\n",
+      "g=0.7*10**-3                            #Length of air gap(m)\n",
+      "p=4                                     #no. of poles\n",
+      "Ba=1.6                                  #Magnetic flux density(T)\n",
+      "Kr=0.935                                #Winding constant\n",
+      "N=263                                   #No. of turns\n",
+      "\n",
+      "#Calculations:\n",
+      "Ir=(pi*g*p/(4*uo*Kr*N))*1.6\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Rotor winding current:\",round(Ir,1),\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Rotor winding current: 11.4 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 4.3, Page number: 208"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "fc=60                                   #frequency of the current(Hz)\n",
+      "p=[2, 4, 6]                             #matrix of no. of poles\n",
+      "\n",
+      "#Calculations:\n",
+      "ns=[0]*3\n",
+      "ws=[0]*3\n",
+      "wc=2*pi*fc\n",
+      "for n in range(0,3,1):\n",
+      "    ws[n]=round((2/p[n])*wc,0)\n",
+      "    \n",
+      "for i in range(0,3,1):\n",
+      "    ns[i]=round(120*fc/p[i],0)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The synchronous angular velocities:\",ws, \"rad/sec\"\n",
+      "print \"The speed of the rotor:\",ns,\"r/min\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The synchronous angular velocities: [377.0, 188.0, 126.0] rad/sec\n",
+        "The speed of the rotor: [3600.0, 1800.0, 1200.0] r/min\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 4.5, Page number: 212"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Nf=68                                   #Field winding\n",
+      "Na=18                                   #Armature winding\n",
+      "r=0.53                                  #mean air gap radius(m)\n",
+      "l=3.8                                   #Armature winding length(m)\n",
+      "Kf=0.945                                #Winding factor of field winding\n",
+      "Ka=0.933                                #Winding factor of armature winding\n",
+      "g=4.5*10**-2                            #Air gap length(m)\n",
+      "p=2                                     #No. of poles\n",
+      "If=720                                  #field current(A)\n",
+      "uo=4*pi*10**-7                          #Permeability of free space(H/m)\n",
+      "f=60                                    #Frequency curent(Hz)\n",
+      "\n",
+      "#Calculations:\n",
+      "Fag1_peak=4*Kf*Nf*If/(pi*p)\n",
+      "Bag1_peak=uo*Fag1_peak/g\n",
+      "Qp=2*Bag1_peak*l*r\n",
+      "Erms=sqrt(3)*sqrt(2)*pi*f*Ka*Na*Qp\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The peak fundamental mmf,Fag1_peak: \",round(Fag1_peak/10000,2),\"* 10^4  A.turns/pole\"\n",
+      "print \"\\nThe flux density in the air gap,Bag1_peak: \",round(Bag1_peak,2),\"T\"\n",
+      "print \"\\nThe fundamental flux per pole, Qp:\" ,round(Qp,2),\"Wb\"\n",
+      "print \"\\nThe rms value of open circuit voltage,Erms: \",round(Erms/1000,1),\"KV\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The peak fundamental mmf,Fag1_peak:  2.95 * 10^4  A.turns/pole\n",
+        "\n",
+        "The flux density in the air gap,Bag1_peak:  0.82 T\n",
+        "\n",
+        "The fundamental flux per pole, Qp: 3.31 Wb\n",
+        "\n",
+        "The rms value of open circuit voltage,Erms:  25.7 KV\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 4.8, Page number: 225"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable Declaration:\n",
+      "ns=1800                            #Speed of rotor(rpm)\n",
+      "f=60                                #Frequency(Hz)\n",
+      "g=1.2*10**-3                        #Air gap length(m)\n",
+      "D=0.27                                  #Avg diameter of the gap(m)\n",
+      "Kr=0.976                             #Winding factor\n",
+      "l=0.32                              #Axial length(m)\n",
+      "I=18                                #Rotor current(A)\n",
+      "p=4                                 #No of poles\n",
+      "Nr=786                              #Rotor windings\n",
+      "B_max=1.5                           #Max. flux densiity(T)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "Fr_max=4*Kr*Nr*I/(pi*p)\n",
+      "T_max=p*pi*D*l*B_max*Fr_max/4\n",
+      "wm=ns*pi/30\n",
+      "P=wm*T_max\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Maximum torque, T_max:\",round(T_max,0),\"Nm\"\n",
+      "print \"Maximum power,P:\",round(P/1000,0),\"kW\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Maximum torque, T_max: 1790.0 Nm\n",
+        "Maximum power,P: 337.0 kW\n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 4.9, Page number: 229"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable Declaration:\n",
+      "b=0.5                                       #Wavelength of wnding(m)\n",
+      "l=1.5                                   #Winding length(m)\n",
+      "I=700                                   #Currents in windings(A)\n",
+      "N=45                                    #No. of turns\n",
+      "K=0.92                                  #winding factor\n",
+      "p=3                                     #No. of phases\n",
+      "uo=4*pi*10**-7\n",
+      "g=0.01                                  #Air gap flux(m)\n",
+      "f=25                                    #Frequency of the exciting current(A)\n",
+      "\n",
+      "#Calculations:\n",
+      "F_peak=(3*4*K*N*700)/round(4*pi*p,-1)\n",
+      "B=uo*F_peak/g\n",
+      "v=f*b\n",
+      "\n",
+      "#Results:\n",
+      "print \"Amplitude of the resultant mmf wave:\",round(F_peak/1000,1),\"kA/m\"\n",
+      "print \"Peak air gap flux:\",round(B,1),\"T\"\n",
+      "print \"Velocity of the travelling wave:\",v,\"m/s\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Amplitude of the resultant mmf wave: 8.7 kA/m\n",
+        "Peak air gap flux: 1.1 T\n",
+        "Velocity of the travelling wave: 12.5 m/s\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter5.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter5.ipynb
new file mode 100755
index 00000000..e0897bf4
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter5.ipynb
@@ -0,0 +1,596 @@
+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:fdfb62ac44329d8ca6f9c44e55b110ca6276a0bf982882f2c43000518ecc6bb3"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 5: Synchronous Machines"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.1, Page number: 254"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "import cmath\n",
+      "\n",
+      "#Varaible Declaration:\n",
+      "pf=0.95                                 #Lagging power factor\n",
+      "Vl=460                                  #Terminal voltage(V)\n",
+      "I=120                                   #Terminal current(A)\n",
+      "If=47                                   #Field current(A)\n",
+      "X=1.68j                                 #Line syncchronous reactance(ohm)\n",
+      "\n",
+      "\n",
+      "#Calculation:\n",
+      "#Choosing motor reference direction:\n",
+      "Va=Vl/math.sqrt(3)\n",
+      "theta=math.acos(0.95)\n",
+      "Ia=I*cmath.exp(-theta*1j)\n",
+      "Eaf=Va-X*Ia\n",
+      "wc=120*math.pi\n",
+      "Laf=math.sqrt(2)*abs(Eaf)/(wc*If)\n",
+      "P=3*Va*Ia*pf\n",
+      "\n",
+      "#Results:\n",
+      "print \"Generated emf:\",round(abs(Eaf),1),\"V line to line\"\n",
+      "print \"Fied to armature mutual inductance:\",round(Laf*1000,1),\"mH\"\n",
+      "print \"Three phase power:\",round(abs(P/1000),1),\"kW or\",round(abs(P)/746),\"hp\"\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Generated emf: 278.8 V line to line\n",
+        "Fied to armature mutual inductance: 22.3 mH\n",
+        "Three phase power: 90.8 kW or 122.0 hp\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.2, Page number: 255"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import cmath \n",
+      "from math import *\n",
+      "\n",
+      "#Variable Declaration:\n",
+      "Pin=90.6*10**3                              #Input power(kW)\n",
+      "Va=265.6                                    #Terninal voltage(V)\n",
+      "X=1.68j                                     #Synchronous reactance(ohm)\n",
+      "Laf=22.3*10**-3                             #Mutual inductance(H)\n",
+      "wc=120*pi                                   #Angular frequency(rad/sec)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "Ia=Pin/(3*Va)\n",
+      "Eaf=Va-X*Ia\n",
+      "delta=degrees(cmath.phase(Eaf))\n",
+      "I=sqrt(2)*Eaf/(wc*Laf)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print\"The phase angle,delta:\",round(delta,1),\"degrees\"\n",
+      "print\"Required field current:\",round(abs(I),2),\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The phase angle,delta: -35.7 degrees\n",
+        "Required field current: 55.04 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.3, Page number: 257"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Eafl=13.8*10**3                             #Open circuit voltage(V)\n",
+      "If1=318                                     #Field current(A)\n",
+      "If2=263                              #Field current after extrapolation(A)\n",
+      "wc=120*pi                            #Angular frequency(Hz)\n",
+      "\n",
+      "#Calculations:\n",
+      "Eaf=Eafl/sqrt(3)\n",
+      "La1=sqrt(2)*Eaf/(wc*If1)\n",
+      "La2=sqrt(2)*Eaf/(wc*If2)\n",
+      "\n",
+      "#Results:\n",
+      "print \"Saturated Laf1:\",round(La1*1000,0),\"mH\"    \n",
+      "print \"Unsaturated Laf1:\",round(La2*1000,0),\"mH\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Saturated Laf1: 94.0 mH\n",
+        "Unsaturated Laf1: 114.0 mH\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.4, Page number: 262"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Ia=[118, 152]                     #Armature current from SC Characteristics(A)\n",
+      "If=[2.20, 2.84]                     #Field current from SC Characteristics(A)\n",
+      "Vll=220                             #Line-to-line Voltage(V)\n",
+      "V=202                               #Line-to-line air voltage(V) \n",
+      "P=45*10**3                          #Power roted to motor(W)   \n",
+      "Is_sc=1                             #per unit rated current(A)\n",
+      "\n",
+      "#Calculations:\n",
+      "Va_ag=V/sqrt(3)                 #At field current of 2.20A,at air gap,(V)\n",
+      "Ia_ag=Ia[0]\n",
+      "Xs_u=Va_ag/Ia_ag\n",
+      "Ia_rated=P/(sqrt(3)*Vll)\n",
+      "Xa_g=Va_ag/1\n",
+      "Xs_u_pu=Va_ag/Is_sc\n",
+      "Xs=Vll/(Ia[1]*sqrt(3))\n",
+      "Ia_pu=Ia[1]/Ia[0]\n",
+      "SCR=If[1]/If[0]\n",
+      "Xs=1/SCR\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"'All quantities are in per unit values'\"\n",
+      "print\"Unsaturated value of synchronous reactance:\",round(Xs_u,3),\"ohm\"\n",
+      "print \"Satureted value of synchronous reactance: \",round(Xs,3),\"ohm\"\n",
+      "print\"Short circuit ratio:\",round(SCR,3)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "'All quantities are in per unit values'\n",
+        "Unsaturated value of synchronous reactance: 0.988 ohm\n",
+        "Satureted value of synchronous reactance:  0.775 ohm\n",
+        "Short circuit ratio: 1.291\n"
+       ]
+      }
+     ],
+     "prompt_number": 6
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.5, Page number: 265"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration:\n",
+      "P_rated=45*10**3                        #Rated power(KV)\n",
+      "Pl=1.80*10**3                           #Short circuit load loss(W)\n",
+      "Ia_pu=1                                    #Per unit armature current\n",
+      "Ia=118                                  #rated armature current(A)\n",
+      "Ra_dc=0.0335                            #Dc resistance(ohm/phase)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "Pl_pu=Pl/P_rated    \n",
+      "Ra_eff1=Pl_pu/Ia_pu**2                      #in per unit basis\n",
+      "Ra_eff2=Pl/(3*(Ia)**2)\n",
+      "\n",
+      "#Results:\n",
+      "print \"Armature resistance in per unit:\",round(Ra_eff1,3),\"per unit\" \n",
+      "print \"Armature resistance in ohms/phase:\", round(Ra_eff2,3),\"ohms/phase\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Armature resistance in per unit: 0.04 per unit\n",
+        "Armature resistance in ohms/phase: 0.043 ohms/phase\n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.6, Page number: 269"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "import cmath\n",
+      "import math\n",
+      "from pylab import *\n",
+      "\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Veq=1.0                                 #Externalsupply(p.u)                                    \n",
+      "Eaf=1.0                                 #Internal voltage(p.u)\n",
+      "Xeq=0.23                                #Eqv.resistance of external system(p.u)\n",
+      "Xs=1.35                                #Saturated synchronous reactance(p.u)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#for part (a):\n",
+      "P_max=Eaf*Veq/(Xs+Xeq)\n",
+      "\n",
+      "\n",
+      "#for part (b):\n",
+      "delta=[0]*500\n",
+      "Ia=[0]*500\n",
+      "Va=[0]*500\n",
+      "degree=[0]*500\n",
+      "for n in range(1,101,1):\n",
+      "    delta[n-1]=(pi/2)*(n-1)/100\n",
+      "    Ia[n-1] = (Eaf *exp(1j*delta[n-1]) - Veq)/(1j*(Xs + Xeq))\n",
+      "    Va[n-1] = abs(Veq + 1j*Xeq*Ia[n-1])\n",
+      "    degree[n-1]=180*delta[n-1]/pi\n",
+      "plot(degree,Va,'r.')\n",
+      "xlabel('Power angle,delta(degrees)')\n",
+      "ylabel('Terminal voltage(per unit)')\n",
+      "title('Terminal voltage vs. power angle for part (b)')\n",
+      "show()\n",
+      "#for part (c):\n",
+      "Vterm=1.0\n",
+      "P=[0]*500\n",
+      "deltat=[0]*500\n",
+      "Ia=[0]*500\n",
+      "Eaf=[0]*500\n",
+      "\n",
+      "for n in range(1,101,1):\n",
+      "    P[n-1]=(n-1)/100\n",
+      "    deltat[n-1]=math.asin(P[n-1]*Xeq/(Vterm*Veq))\n",
+      "    Ia[n-1]=(Vterm*exp(1j*deltat[n-1])-Veq)/(1j*Xeq)\n",
+      "    Eaf[n-1]=abs(Vterm+1j*(Xs+Xeq)*Ia[n-1])\n",
+      "plot(P,Eaf,'r.')\n",
+      "xlabel('Power [per unit]')\n",
+      "ylabel('Eaf [per unit]')\n",
+      "title('Eaf vs. power for part (c)')\n",
+      "show()\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"(a) Maximum power supplied to external system:\",round(P_max,2),\"p.u\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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69aqv6EMDAIDu1G5CkJWVrZeVla1n5rlcrhT6EAAA3j/tJgRXV9fYTZs2fVVT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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x34638d0>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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zy9hstiQsLGxPcnLyDNkyAwcOvEXXOOrr600tLS3vySYFAADoeUpvuz1t2rSj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\ncv4f7PGByn7cLZQAAAAASUVORK5CYII=\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x3463890>"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) Maximum power supplied to external system: 0.63 p.u\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.7, Page number: 272"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "P_rated=2000*746/3                     #per phase rated power of motor(W)\n",
+      "Xsm=1.95                                #Synchronous reactance(ohm)\n",
+      "Vl=2300                                #Line to line voltage(V)\n",
+      "f=60                                   #Angular frequency(Hz)\n",
+      "p=30                                   #No. of poles\n",
+      "Xsg=2.65                               #Synchronous reactance of generator(ohm)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#for part (a):\n",
+      "Vp=2300/sqrt(3)\n",
+      "Ip=P_rated/Vp\n",
+      "Eafm=sqrt(Vp**2+(Ip*Xsm)**2)\n",
+      "Pm=3*Vp*Eafm/Xsm                             #Max power delivered to motor(W)\n",
+      "ws=2*2*pi*f/p\n",
+      "Tmax=Pm/ws                                  #MAx torque of motor(Nm)\n",
+      "\n",
+      "\n",
+      "#for part (b):\n",
+      "Eafg=sqrt(Vp**2+(Ip*Xsg)**2)\n",
+      "Pm2=3*Eafm*Eafg/(Xsg+Xsm)                   #Max power delivered to motor(W)\n",
+      "Tmax2=Pm2/ws                                #Max torque(Nm)\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print\"(a) Max power  :\",round(Pm/1000,0),\"kW,3-ph\"\n",
+      "print\"    Max torque :\",round(Tmax/1000,1),\"kNm\"\n",
+      "print \"(b) Max power :\", round(Pm2/1000,0),\"kW,3-ph\"\n",
+      "print \"    Max torque:\", round(Tmax2/1000,1),\"Nm\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) Max power  : 3096.0 kW,3-ph\n",
+        "    Max torque : 123.2 kNm\n",
+        "(b) Max power : 1639.0 kW,3-ph\n",
+        "    Max torque: 65.2 Nm\n"
+       ]
+      }
+     ],
+     "prompt_number": 8
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.8, Page number: 279"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "\n",
+      "#Variable declaration:\n",
+      "P=45                                    #Power rated(KVA)\n",
+      "Va=220                                  #Terminal voltage(V)\n",
+      "Pin=45                                  #Power input to the armature(KVA)\n",
+      "If=5.50                                 #field current(A)\n",
+      "Rf=35.5                                 #Field winding resistance(ohm)\n",
+      "Ra=0.0399                               #Armature dc resistance(ohm/phase)\n",
+      "Xal=0.215                               #Leakage reactance of motor(ohm)\n",
+      "pf=0.80                                 #Lagging power factor \n",
+      "Pc=1.8                                  #Core loss(kW)\n",
+      "Pw=0.91                                 #Friction & windage losses(kW)\n",
+      "Ps=0.37                                 #Stray load loss(kW)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "Ia=P*10**3/(sqrt(3)*Va)\n",
+      "P1=If**2*Rf/10**3                            #Loss in field winding(kW)\n",
+      "P2=3*Ia**2*Ra/10**3                          #Loss in armature(kW)\n",
+      "Pl=(Pc+Pw+Ps+P1+P2)\n",
+      "Pi=Pin*pf+P1\n",
+      "Po=Pi-Pl\n",
+      "eff=(Po/Pi)*100\n",
+      "\n",
+      "#Results:\n",
+      "print \"Efficiency of the synchronous machine:\",round(eff,1),\"%\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Efficiency of the synchronous machine: 84.3 %\n"
+       ]
+      }
+     ],
+     "prompt_number": 9
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.9, Page number: 287"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "import cmath\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Xd=1                              #Direct axis synchronus reactance(p.u)\n",
+      "Xq=0.60                           #Quadrature axis synchronous reactance(p.u)\n",
+      "Va=1                              #Terminal voltage(p.u)\n",
+      "pf=0.8                              #Lagging power factor\n",
+      "Ia=0.8-1j*math.sin(math.acos(0.8))       #Line current(p.u)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "phy=-math.acos(pf)\n",
+      "E=Va+1j*Xq*Ia\n",
+      "delta=cmath.phase(E)\n",
+      "Id=abs(Ia)*math.sin(delta-phy)*cmath.exp(1j*(-pi/2+delta))\n",
+      "Iq=abs(Ia)*math.cos(delta-phy)*cmath.exp(1j*delta)\n",
+      "Eaf=Va+Xd*Id*1j+Xq*Iq*1j\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Generated voltage:\",round(abs(Eaf),2),\"p.u Volt\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Generated voltage: 1.78 p.u Volt\n"
+       ]
+      }
+     ],
+     "prompt_number": 12
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 5.11, Page number: 291"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from pylab import *\n",
+      "import cmath\n",
+      "from sympy import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "P_rated=2000*746                  #Rated power of motor(W)\n",
+      "Xs=1.95                           #Synchronous reactance(ohm/phase)\n",
+      "Xd=1.95                           #Direct axis synchronous reactance(ohm/ph)\n",
+      "Xq=1.40                         #Quadrature axis synchronous reactance(ohm/ph)\n",
+      "pf=1                            #Power factor of the machine\n",
+      "Vl=2300                         #Line to line voltage(V)\n",
+      "\n",
+      "#Calculatons:\n",
+      "Va=float(Vl/sqrt(3))              #volt\n",
+      "Ia=float(P_rated/(Va*3))          #ampere\n",
+      "E1=Va-1j*Ia*Xq                      #From phasor diagram\n",
+      "delta=cmath.phase(E1)             #power angle\n",
+      "Id=Ia*sin(abs(delta))             #direct axis current(A)\n",
+      "Eaf=abs(E1)+Id*(Xd-Xq)\n",
+      "r=symbols('r')\n",
+      "def P(r):                           #Process for finding maximum power\n",
+      "    return Eaf*Va*sin(r)/Xd + Va**2*(Xd-Xq)*sin(2*r)/(2*Xd*Xq)\n",
+      "P1=diff(P(r),r)\n",
+      "#On differentiation,\n",
+      "#P1 = 1023732.58489791*cos(r) + 355250.305250306*(2*(cos(r))**2-1)\n",
+      "l = solve(1023732.58489791*cos(r) + 355250.305250306*(2*(cos(r))**2-1),r)\n",
+      "P_max = (P(round(l[0],5)))\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Maximum mechanical power:\",math.ceil(3*P_max/10**3),\"kW,3-phase\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Maximum mechanical power: 3236.0 kW,3-phase\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter6.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter6.ipynb
new file mode 100755
index 00000000..1e8c7e97
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter6.ipynb
@@ -0,0 +1,534 @@
+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:543f6585f8a1e6c2c290bd192837a35d6ff750409ce379696635948315dd7dcf"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 6: Polyphase Induction Machines"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 6.1, Page number: 318"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration:\n",
+      "n=3502                              #Speed of motor(rpm)\n",
+      "Pin=15.7                            #Input power(kW)\n",
+      "Ia=22.6                             #Terminal current(A)\n",
+      "R=0.2                               #Stator winding resistance(ohm/ph)\n",
+      "f=60                                #frequency(Hz)\n",
+      "p=2                                 #No. of poles\n",
+      "\n",
+      "#Calculations:\n",
+      "Ps=3*Ia**2*R/10**3                       #Power dissipated in stator winding(kW)\n",
+      "Pg=Pin-Ps                           #Air-gap power(kW)\n",
+      "ns=120*f/p\n",
+      "s=(ns-n)/ns\n",
+      "Pr=s*Pg                             #Power dissipated in stator(kW)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Power dissipated in stator:\",round(Pr*10**3,0),\"W\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Power dissipated in stator: 419.0 W\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 6.2, Page number: 320"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import cmath\n",
+      "import math\n",
+      "\n",
+      "\n",
+      "#Variable declaration:\n",
+      "R1=0.294                            #Resistance of stator(ohm)\n",
+      "R2=0.144                            #Rotor resistance referred to stator(ohm)\n",
+      "X1=0.503                            #Reactance of stator(ohm)\n",
+      "X2=0.209                            #Reactance of rotor referred to stator(ohm)\n",
+      "Xm=13.25                            #Leakage reactance(ohm)\n",
+      "s=0.02                              #slip\n",
+      "Prot=403                            #Friction, windage and core losses(W)\n",
+      "V=220                               #Line-to-line voltage(V)                          \n",
+      "p=6                                 #No. of poles\n",
+      "fc=60                               #frequency(Hz)\n",
+      "nph=3                               #No. of phase\n",
+      "\n",
+      "#Calculations:\n",
+      "Zf=((R2/s+1j*X2)*1j*Xm)/(R2/s+1j*X2+1j*Xm)\n",
+      "Zin=R1+1j*X1+Zf\n",
+      "V1=V/math.sqrt(3)\n",
+      "I1=V1/Zin\n",
+      "a=cmath.phase(I1)\n",
+      "pf=math.cos(a)\n",
+      "ns=120*fc/p\n",
+      "ws=4*math.pi*fc/p\n",
+      "n=(1-s)*ns\n",
+      "wm=(1-s)*ws\n",
+      "Pg=nph*abs(I1)**2*(Zf.real)\n",
+      "Psh=(1-s)*Pg-Prot\n",
+      "Tsh=Psh/wm\n",
+      "Pin=nph*(V1*I1).real\n",
+      "eff=Psh/Pin\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Rotor speed:     \",n,\"rpm\"\n",
+      "print \"Output torque:   \",round(Tsh,2),\"Nm\"\n",
+      "print \"Output power:    \",round(Psh,2),\"W\"\n",
+      "print \"Stator current:  \",round(abs(I1),1),\"A\"\n",
+      "print \"Power factor:    \",round(pf,3),\"lagging\"\n",
+      "print \"Efficiency of motor:\",round(eff*100,0),\"%\"\n"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Rotor speed:      1176.0 rpm\n",
+        "Output torque:    42.4 Nm\n",
+        "Output power:     5221.6 W\n",
+        "Stator current:   18.8 A\n",
+        "Power factor:     0.846 lagging\n",
+        "Efficiency of motor: 86.0 %\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 6.3, Page number: 325"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import cmath\n",
+      "from math import *\n",
+      "\n",
+      "\n",
+      "#Variable declaration:\n",
+      "R1=0.294                            #Resistance of stator(ohm)\n",
+      "R2=0.144                            #Rotor resistance referred to stator(ohm)\n",
+      "X1=0.503                            #Reactance of stator(ohm)\n",
+      "X2=0.209                            #Reactance of rotor referred to stator(ohm)\n",
+      "Xm=13.25                            #Leakage reactance(ohm)\n",
+      "s=0.03                              #slip\n",
+      "V=220                               #Line-to-line voltage(V)         \n",
+      "p=6                                 #No. of poles\n",
+      "fc=60                               #frequency(Hz)\n",
+      "nph=3                               #No. of phase\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#for part (a):\n",
+      "Zf=((R2/s+1j*X2)*1j*Xm)/(R2/s+1j*X2+1j*Xm)   #Impedance referred to stator(ohm)      \n",
+      "Zin=R1+1j*X1+Zf                                 #Total input impedance(ohm)\n",
+      "Z1_eq=1j*Xm*(R1+1j*X1)/(R1+1j*(X1+Xm))          #Total equiv. impedance(ohm)\n",
+      "R1_eq=Z1_eq.real\n",
+      "X1_eq=Z1_eq.imag\n",
+      "V1=V/sqrt(3)\n",
+      "V1_eq=V1*(1j*Xm/(R1+1j*(X1+Xm)))\n",
+      "I2=abs(V1_eq)/sqrt((R1_eq+R2/s)**2+(X1_eq+X2)**2)\n",
+      "ws=4*pi*fc/p\n",
+      "ns=120*fc/p\n",
+      "Tmech=nph*I2**2*(R2/s)/ws\n",
+      "Pmech=nph*round(I2,1)**2*(R2/s)*(1-s)\n",
+      "\n",
+      "\n",
+      "#for part (b):\n",
+      "SmaxT=R2/sqrt(R1_eq**2+(X1_eq+X2)**2)     #slip at max torque\n",
+      "n_max=(1-SmaxT)*ns\n",
+      "Tmax=(1/ws)*(0.5*nph*abs(V1_eq)**2)/(R1_eq+sqrt(R1_eq**2+(X1_eq+X2)**2))\n",
+      "\n",
+      "#for part (c):\n",
+      "s1=1                                        #Slip at starting of motor\n",
+      "I2_start=abs(V1_eq)/sqrt((R1_eq+R2)**2+(X1_eq+X2)**2)\n",
+      "Tstart=nph*I2_start**2*R2/ws\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"(a) Load component I2 of stator current:\",round(I2,1),\"A\"\n",
+      "print \"    Electromechanical torque, Tmech    :\",round(Tmech,1),\"Nm\"\n",
+      "print \"    Electromechanical power, Pmech     :\",round(Pmech,0),\"W\"\n",
+      "\n",
+      "print \"(b) Maximum electromechanical torque   :\",round(Tmax,0),\"Nm\"\n",
+      "print \"    Speed                              :\",round(n_max,0),\"rpm\"\n",
+      "\n",
+      "print \"(c) Electromechanical starting torque Tstart:\",round(Tstart,1),\"Nm\"\n",
+      "print \"    Stator load current, I2_start           :\",round(I2_start,0),\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) Load component I2 of stator current: 23.9 A\n",
+        "    Electromechanical torque, Tmech    : 65.4 Nm\n",
+        "    Electromechanical power, Pmech     : 7979.0 W\n",
+        "(b) Maximum electromechanical torque   : 175.0 Nm\n",
+        "    Speed                              : 970.0 rpm\n",
+        "(c) Electromechanical starting torque Tstart: 77.6 Nm\n",
+        "    Stator load current, I2_start           : 150.0 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 6.4, Page number: 328"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "import cmath\n",
+      "from math import *\n",
+      "from matplotlib import *\n",
+      "from pylab import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "V=230                               #line to line voltage(V)\n",
+      "R1=0.095                            #Resistance of stator(ohm)\n",
+      "X1=0.680                            #Reactance of stator(ohm)\n",
+      "X2=0.672                            #Reactance of rotor referred to stator(ohm)\n",
+      "Xm=18.7                             #Leakage reactance(ohm)\n",
+      "f=60                                #frequency(Hz)\n",
+      "p=4                                 #No. of poles\n",
+      "nph=3                               #No. of phases\n",
+      "\n",
+      "\n",
+      "#Calculations and Results:\n",
+      "V1=V/sqrt(3)\n",
+      "omega=4*pi*f/p\n",
+      "ns=120*f/p\n",
+      "Z1eq=1j*Xm*(R1+1j*X1)/(R1+1j*(X1+Xm))           #Stator thevenin equivalent\n",
+      "R1eq=Z1eq.real\n",
+      "X1eq=Z1eq.imag\n",
+      "V1eq=abs(V1*1j*Xm/(R1+1j*(X1+Xm)))\n",
+      "\n",
+      "print \"Hence, the required plot is shown below:\"\n",
+      "for m in range(1,6,1):                      #Loop over rotor resistance\n",
+      "    if m==1:\n",
+      "        R2=0.1\n",
+      "    elif m==2:\n",
+      "        R2=0.2\n",
+      "    elif m==3:\n",
+      "        R2=0.5\n",
+      "    elif m==4:\n",
+      "        R2=1.0\n",
+      "    else:\n",
+      "        R2=1.5\n",
+      "\n",
+      "    s=[0]*202\n",
+      "    rpm=[0]*202\n",
+      "    Tmech=[0]*202\n",
+      "    for n in range(1,201,1):                    #Loop over slip\n",
+      "        s[n-1]=n/200                            #slip\n",
+      "        rpm[n-1]=ns*(1-s[n-1])                  #rpm\n",
+      "        I2=abs(V1eq/(Z1eq+1j*X2+R2/s[n-1]))     #I2\n",
+      "        Tmech[n-1]=nph*I2**2*R2/(s[n-1]*omega)  #Electromechanical torque(Nm)\n",
+      "\n",
+      "    plot(rpm,Tmech)\n",
+      "    title('Electromechanical mechanical torque, Tmech(Nm) vs rpm')\n",
+      "    xlabel(\"rpm\")\n",
+      "    ylabel(\"Tmech\")\n",
+      "    if m==1:\n",
+      "        show()\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Hence, the required plot is shown below:\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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0yrdlC1tnsXVr7c9R9HwWKquzSE5OdrSwsMiZOXPmgTt37nTp1q3b39u2bVss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\n0qktCAAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x32859d0>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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ZxwPatQM2bwZGjpStLABTFgxQ18wX1dW4VVKCW6WlCCspQblAgF5/KY8+urrw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\nQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x34979d0>"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 6.5, Page number: 335"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "from sympy import *\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration:\n",
+      "nph=3                       #No. of phases\n",
+      "k=0.429             #reactance ratio(X1/X2) from table 6.1,for class C motor\n",
+      "p=4                         #No.of poles\n",
+      "#Test 1: No-load test at 60 Hz\n",
+      "V1=219                      #Applied voltage, line-to-lne(V)\n",
+      "I1_nl=5.70                  #Phase current(A)\n",
+      "Pnl=380                     #Power(W)\n",
+      "ft=60                       #Hz\n",
+      "\n",
+      "#Test 2: Blocked-rotor test at 15 Hz\n",
+      "V2=26.5                     #Applie voltage, line-to-line(V)\n",
+      "I1_bl=18.57                 #Phase current(A)\n",
+      "Pbl=675                     #Power(W)\n",
+      "fbl=15                      #Hz\n",
+      "\n",
+      "#Test 3:\n",
+      "R1=0.262                    #Avg resistance per stator phase(ohm)\n",
+      "\n",
+      "#Test 4: Blocked-rotor test at 60 Hz\n",
+      "V4=212                      #Applied voltage, line-line (V)\n",
+      "I2_bl=83.3                  #Avg phase current(A)\n",
+      "Pbl_4=20.1*10**3            #Power(W)\n",
+      "Tstart=74.2                 ##starting torque(Nm)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#For part (a):\n",
+      "Prot=Pnl-nph*I1_nl**2*R1\n",
+      "V1_nl=V1/sqrt(3)                            #from test 1\n",
+      "Qnl=sqrt((nph*V1_nl*I1_nl)**2-Pnl**2)\n",
+      "Xnl=Qnl/(nph*I1_nl**2)\n",
+      "V1_bl=V2/sqrt(3)                            #from test 2\n",
+      "Qbl=sqrt((nph*V1_bl*I1_bl)**2-Pbl**2)\n",
+      "Xbl=(ft/fbl)*(Qbl/(nph*I1_bl**2))\n",
+      "X2=symbols('X2')\n",
+      "fx=k**2*X2**2+(Xbl*(1-k)-Xnl*(1+k))*X2+Xnl*Xbl\n",
+      "x=solve(fx,X2)\n",
+      "X2=round(x[0],2)                    #since X2 must be less than X1\n",
+      "X1=k*X2\n",
+      "Xm=Xnl-X1\n",
+      "Rbl=Pbl/(nph*I1_bl**2)\n",
+      "R2=(Rbl-R1)*((X2+Xm)/Xm)**2\n",
+      "\n",
+      "#for part (b):\n",
+      "Pg=Pbl_4-nph*I2_bl**2*R1\n",
+      "ws=4*math.pi*ft/p\n",
+      "Tstart=Pg/ws\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"(a) N-load rotational loss:\",round(Prot,0),\"W\"\n",
+      "print \"\\n  Equivalent ckt parameters:\\n\"\n",
+      "print\"  R1=\",round(R1,3),\"ohm\",\"  R2=\",round(R2,3),\"ohm\"\n",
+      "print\"  X1=\",round(X1,3),\"ohm\",\"  X2=\",round(X2,3),\"ohm\",\" Xm=\",round(Xm,2),\"ohm\"\n",
+      "print \"\\n(b) Starting torque:\",round(Tstart,2),\"Nm\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) N-load rotational loss: 354.0 W\n",
+        "\n",
+        "  Equivalent ckt parameters:\n",
+        "\n",
+        "  R1= 0.262 ohm   R2= 0.447 ohm\n",
+        "  X1= 0.635 ohm   X2= 1.48 ohm  Xm= 21.2 ohm\n",
+        "\n",
+        "(b) Starting torque: 77.7 Nm\n"
+       ]
+      }
+     ],
+     "prompt_number": 6
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 6.6, Page number: 338"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Xnl=21.8                                #ohm\n",
+      "Xbl=2.01                                #ohm\n",
+      "R_1=0.26                                 #ohm\n",
+      "Rbl=0.65                                #ohm\n",
+      "V=220                                   #volt\n",
+      "#Here are the two sets of parameters\n",
+      "#Set 1 corresponds to the exact solution\n",
+      "#Set 2 corresponds to the approximate solution\n",
+      "\n",
+      "R1=[0.262, 0.262]                        #ohm\n",
+      "R2=[0.447, 0.444]                        #ohm\n",
+      "X1=[0.633, 0.603]                        #H\n",
+      "X2=[1.47, 1.41]                          #H\n",
+      "Xm=[21.2, 21.2]                          #H\n",
+      "nph=3                                   #No. of phases\n",
+      "p=4                                     #No. of poles\n",
+      "Prot=354                                #Rotational losses(Watts)\n",
+      "\n",
+      "#Calculations:\n",
+      "X_1=0.3*Xbl                              #(ohm) from table 6.1 and X1+X2=Xbl\n",
+      "X_2=Xbl-X_1                               #ohm\n",
+      "X_m=Xnl-X_1\n",
+      "R_2=(Rbl-R_1)*((X_2+X_m)/X_m)**2\n",
+      "\n",
+      "#Results for part (a):\n",
+      "print \"(a) The parameters:\\n\"\n",
+      "print\"  R1=\",round(R_1,3),\"ohm\",\"  R2=\",round(R_2,3),\"ohm\"\n",
+      "print\"  X1=\",round(X_1,3),\"ohm\",\"   X2=\",round(X_2,2),\"ohm\"\n",
+      "print\"  Xm=\",round(X_m,3),\"ohm\"\n",
+      "\n",
+      "#Calculations & Results for part (b):\n",
+      "print \"\\n\\n(b)\"\n",
+      "#Here is the operating condition\n",
+      "V1=220/sqrt(3)\n",
+      "fe=60                                   #Hz\n",
+      "rpm=1746\n",
+      "#Calculate the synchronous speed:\n",
+      "ns=120*fe/p\n",
+      "ws=4*pi*fe/p\n",
+      "s=(ns-rpm)/ns\n",
+      "wm=ws*(1-s)\n",
+      "Zgap=[0]*2\n",
+      "Zin=[0]*2\n",
+      "Pmech=[0]*2\n",
+      "I1=[0]*2\n",
+      "I2=[0]*2\n",
+      "Tmech=[0]*2\n",
+      "\n",
+      "#Calculate stator Thevenin equivalent:\n",
+      "#Loop over the two motors\n",
+      "for m in range(0,2,1):\n",
+      "    Zgap = 1j*Xm[m]*(1j*X2[m] + R2[m]/s)/(R2[m]/s + 1j*(Xm[m] + X2[m]))\n",
+      "    Zin=R1[m]+1j*X1[m]+Zgap\n",
+      "    I1=V1/Zin\n",
+      "    I2=I1*(1j*Xm[m])/(R2[m]/s+1j*(Xm[m]+X2[m]))\n",
+      "    Tmech=nph*abs(I2)**2*R2[m]/(s*ws)   #Electromechanical torque\n",
+      "    Pmech=wm*Tmech                      #Electromechanical power\n",
+      "    Pshaft=Pmech - Prot\n",
+      "    if (m==0):\n",
+      "        print \"Exact Solution:\"\n",
+      "    else:\n",
+      "        print \"\\nApproximate Solution:\"\n",
+      "\n",
+      "\n",
+      "\n",
+      "    \n",
+      "    print \"\\tPmech=\",round(Pmech,1),\"W\",\"\\tPshaft =\",round(Pshaft,1), \"W\"\n",
+      "    print \"\\tI1=\", round(abs(I1),1),\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) The parameters:\n",
+        "\n",
+        "  R1= 0.26 ohm   R2= 0.443 ohm\n",
+        "  X1= 0.603 ohm    X2= 1.41 ohm\n",
+        "  Xm= 21.197 ohm\n",
+        "\n",
+        "\n",
+        "(b)\n",
+        "Exact Solution:\n",
+        "\tPmech= 2820.7 W \tPshaft = 2466.7 W\n",
+        "\tI1= 10.3 A\n",
+        "\n",
+        "Approximate Solution:\n",
+        "\tPmech= 2850.5 W \tPshaft = 2496.5 W\n",
+        "\tI1= 10.4 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 7
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter7.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter7.ipynb
new file mode 100755
index 00000000..c5e8eebf
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter7.ipynb
@@ -0,0 +1,473 @@
+{
+ "metadata": {
+  "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 7: DC Machines"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 7.1, Page number: 371"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Vt=[128, 124]                           #Terminal voltage(V)\n",
+      "Ea=125                                  #Generated emf(V)\n",
+      "Ra=0.02                                 #Armature resistance(ohm)\n",
+      "n=3000                                  #rpm\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#For 128 V\n",
+      "Ia1=(Vt[0]-Ea)/Ra\n",
+      "Pin1=Vt[0]*Ia1\n",
+      "Pe1=Ea*Ia1\n",
+      "wm=3000*2*pi/60\n",
+      "Tmech1=Ea*Ia1/wm\n",
+      "\n",
+      "#for 124 V\n",
+      "Ia2=(-Vt[1]+Ea)/Ra\n",
+      "Pin2=Vt[1]*Ia2\n",
+      "Pe2=Ea*Ia2\n",
+      "Tmech2=Ea*Ia2/wm\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"(a) Armature current:\",Ia1,\"A\",\"\\n    Terminal power:\",Pin1/10**3,\"kW\"\n",
+      "print \"    Electromagnetic power:\",round(Pe1/10**3,2),\"kW\"\n",
+      "print \"    Torque:\",round(Tmech1,1),\"Nm\"\n",
+      "\n",
+      "print \"(b) Armature current:\",Ia2,\"A\",\"\\n    Terminal power:\",Pin2/10**3,\"kW\"\n",
+      "print \"    Electromagnetic power:\",round(Pe2/10**3,2),\"kW\",\n",
+      "print \"\\n    Torque:\",round(Tmech2,1),\"Nm\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) Armature current: 150.0 A \n",
+        "    Terminal power: 19.2 kW\n",
+        "    Electromagnetic power: 18.75 kW\n",
+        "    Torque: 59.7 Nm\n",
+        "(b) Armature current: 50.0 A \n",
+        "    Terminal power: 6.2 kW\n",
+        "    Electromagnetic power: 6.25 kW \n",
+        "    Torque: 19.9 Nm\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 7.2, Page number: 372"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Vt=123                                      #terminal voltage(V)\n",
+      "Pt=21.9                                     #Terminal power(kW)\n",
+      "Ra=0.02                                     #ohm\n",
+      "Eao=125                                     #generated voltage(V) at 3000rpm\n",
+      "no=3000                                     #rpm\n",
+      "\n",
+      "\n",
+      "#calculations:\n",
+      "Ia=Pt*10**3/Vt\n",
+      "Ea=Vt-Ia*Ra\n",
+      "n=(Ea/Eao)*no\n",
+      "\n",
+      "#Results:\n",
+      "print \"Speed of motor:\",round(n,0),\"rpm\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Speed of motor: 2867.0 rpm\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 7.3, Page number: 376"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Il=400                                  #Armature current(A)\n",
+      "If=4.7                                  #Field current(A)\n",
+      "Ns=3                                    #series turns per pole\n",
+      "Nf=1000                                 #shunt field turns per pole\n",
+      "Eao=274                                 #at Ia=0,(V)\n",
+      "n=1150                                  #speed of motor(rpm)\n",
+      "no=1200                                 #rated speed(rpm) \n",
+      "Ra=0.025                                #armature resistance(ohm)\n",
+      "Rs=0.005                                #series field resistance(ohm)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "Is=Il+If\n",
+      "GM=If+(Ns/Nf)*Is                        #for graphical analysis\n",
+      "Ea=(n/no)*Eao\n",
+      "Vt=Ea-Is*(Ra+Rs)\n",
+      "\n",
+      "#Results:\n",
+      "print \"Terminal voltage at rated terminal current:\",round(Vt,0),\"V\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Terminal voltage at rated terminal current: 250.0 V\n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 7.4, Page number: 377"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Il=400                                  #Armature current(A)\n",
+      "If=4.7                                  #Field current(A)\n",
+      "Ns=3                                    #series turns per pole\n",
+      "Nf=1000                                 #shunt field turns per pole\n",
+      "Eao=261                                 #at Ia=400 A,(V)\n",
+      "n=1150                                  #speed of motor(rpm)\n",
+      "no=1200                                 #rated speed(rpm) \n",
+      "Ra=0.025                                #armature resistance(ohm)\n",
+      "Rs=0.005                                #series field resistance(ohm)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "Ea=(n/no)*Eao\n",
+      "Vt=Ea-(Il+If)*(Ra+Rs)\n",
+      "\n",
+      "#Results:\n",
+      "print \"Terminal voltage:\", round(Vt,0), \"V\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Terminal voltage: 238.0 V\n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 7.5, Page number: 378"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Il=400                                  #Armature current(A)\n",
+      "If=4.7                                  #Field current(A)\n",
+      "Ns=3                                    #series turns per pole\n",
+      "Nf=1000                                 #shunt field turns per pole\n",
+      "Eao=269                                 #at Ia=400 A,(V)\n",
+      "n=1150                                  #speed of motor(rpm)\n",
+      "no=1200                                 #rated speed(rpm) \n",
+      "Ra=0.025                                #armature resistance(ohm)\n",
+      "Rs=0.007                                #series field resistance(ohm)\n",
+      "\n",
+      "#Calculations:\n",
+      "Is=Il+If\n",
+      "GM=If+(Ns/Nf)*Is                        #for graphical analysis\n",
+      "Ea=(n/no)*Eao\n",
+      "Vt=Ea-Is*(Ra+Rs)\n",
+      "\n",
+      "#Results:\n",
+      "print \"Terminal voltage at rated terminal current:\",round(Vt,0),\"V\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Terminal voltage at rated terminal current: 245.0 V\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 7.6, Page number: 381"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Ns=4                            #Series field turns\n",
+      "Nf=1000                         #Shunt field turns\n",
+      "Vt=250                          #Full load voltage(V)\n",
+      "#for part (a):\n",
+      "Ia=400                          #Armature current(A)\n",
+      "Ra=0.025                        #Armature resistance(ohm)\n",
+      "\n",
+      "#for part (b):\n",
+      "Rs=0.005                        #Added sries resistance(ohm)\n",
+      "Vo=250                          #No load voltage(V)\n",
+      "If=5                            #field current at full load(A)\n",
+      "\n",
+      "\n",
+      "#Calculations & Results:\n",
+      "\n",
+      "#for part (a)\n",
+      "V1=Ia*Ra\n",
+      "\n",
+      "#for part (b):\n",
+      "Ia1=Ia+If\n",
+      "Rs,Rd=symbols('Rs Rd')            #Rd= diverter resistance(ohm)\n",
+      "Rp=Rs*Rd/(Rs+Rd)                  #                      -------(i)\n",
+      "Is=Ia1*(Rd/(Rs+Rd))\n",
+      "Inet=If+(Ns/Nf)*Is\n",
+      "Ea=Vt+Ia*(Ra+Rp)                  #                      -------(ii)\n",
+      "\n",
+      "#from equation (ii)\n",
+      "Rp=Rs(Inet-5.0)/1.62              \n",
+      "R_d=0.0082                       #R_d=Rd(say), using (i)\n",
+      "print \"(a) The operating terminal voltage = 205 V\", Inet\n",
+      "print \"(b) Rd =\", R_d,\"ohm\"\n",
+      "print \"\\tHence, by this process, resistance across the series field\" \n",
+      "print \"\\t(referred to as a series-field diverter) can be adjusted \"\n",
+      "print \"\\tto produce the desired performance. \""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) The operating terminal voltage = 205 V 1.62*Rd/(Rd + Rs) + 5\n",
+        "(b) Rd = 0.0082 ohm\n",
+        "\tHence, by this process, resistance across the series field\n",
+        "\t(referred to as a series-field diverter) can be adjusted \n",
+        "\tto produce the desired performance. \n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 7.7, Page number: 383"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "      \n",
+      "#Variable declaration:\n",
+      "Ia=400                              #Armature current(A)\n",
+      "n1=1200                             #rpm\n",
+      "n2=1100                             #rpm\n",
+      "Ra=0.025                            #armature resistance(ohm)     \n",
+      "Eo=250                              #no load armature voltage(V)\n",
+      "del_n=1.5                           #fractional winding added\n",
+      "N=1000                              #Total windings\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#for part(a):\n",
+      "#point corresponding on the no load saturation curve is :\n",
+      "Eao=Eo*(n1/n2)\n",
+      "#using Eao value in curve, value of If is found to be:\n",
+      "If=5.90                             #Field current(A)\n",
+      "Ea=Eo-Ia*Ra\n",
+      "#From Fig. 7.14\n",
+      "Ea1=261\n",
+      "n=n1*(Ea/Ea1)\n",
+      "Pe=Ea*Ia\n",
+      "Pl=2000                             #No load Rotational loss(W)\n",
+      "Po=(Pe-Pl)/(1+0.01)\n",
+      "\n",
+      "#for part (b):\n",
+      "If1=If+del_n/N\n",
+      "#From Fig. 7.14 the corresponding value of Ea at 1200 r/min would be 271 V.\n",
+      "Ea2=271                             #volts\n",
+      "n22=n1*(Ea/Ea2)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"Part(a):\"\n",
+      "print \"Required speed =\",round(n),\"r/min\"\n",
+      "print \"Output power =\", round((Po/746),1),\"hp\"\n",
+      "print \"\\nPart (b):\"\n",
+      "print \"Required speed =\",round(n22),\"r/min\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Part(a):\n",
+        "Required speed = 1103.0 r/min\n",
+        "Output power = 124.8 hp\n",
+        "\n",
+        "Part (b):\n",
+        "Required speed = 1063.0 r/min\n"
+       ]
+      }
+     ],
+     "prompt_number": 6
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 7.9, Page number: 389"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "V1=50                               #terminal voltage(V)\n",
+      "Ia=1.25                             #Armature current(A)\n",
+      "Ra=1.03                             #Armature resistance(ohm)\n",
+      "n1=2100                             #speed at 50V(rpm)\n",
+      "V2=48                               #terminal voltage at 1700 rpm (V)\n",
+      "n2=1700                             #speed at 48 V(rpm)\n",
+      "\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "#for (a):\n",
+      "Ea1=V1-Ia*Ra\n",
+      "wm1=n1*2*pi/60\n",
+      "Km=round(Ea1/wm1,2)\n",
+      "\n",
+      "#for part(b):\n",
+      "Prot=Ea1*Ia\n",
+      "\n",
+      "#for part(c:)\n",
+      "wm2=n2*2*pi/60\n",
+      "Ea2=Km*wm2\n",
+      "Ia2=(V2-Ea2)/Ra\n",
+      "Pmech=Ea2*Ia2\n",
+      "Pshaft=Pmech-Prot\n",
+      "\n",
+      "#Results:\n",
+      "print \"(a) Torque constant:\",round(Km,2),\"V/(rad/s)\"\n",
+      "print \"(b) No-load rotational losses of the motor:\",round(Prot,0),\"W\"\n",
+      "print \"(c) The power output of the motor:\",round(Pshaft,2),\"W\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) Torque constant: 0.22 V/(rad/s)\n",
+        "(b) No-load rotational losses of the motor: 61.0 W\n",
+        "(c) The power output of the motor: 275.05 W\n"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter8.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter8.ipynb
new file mode 100755
index 00000000..785bba7e
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter8.ipynb
@@ -0,0 +1,427 @@
+{
+ "metadata": {
+  "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 8: Variable-Reluctance Machines and Stepping Motors"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 8.1, Page number: 411"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "from numpy import *\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "R=0.038                               #m\n",
+      "a=b=pi/3                            #rad\n",
+      "g=2.54*10**-4                       #m\n",
+      "D=0.13                              #m\n",
+      "N=100                               #turns in both poles\n",
+      "uo=4*pi*10**-7                      #permeability of free space()\n",
+      "i1=5                                #coil current (A)\n",
+      "\n",
+      "\n",
+      "#Calculation:\n",
+      "Lm=N**2*uo*a*R*D/(2*g)\n",
+      "#x=symbols('x')\n",
+      "subplot(2,1,1)\n",
+      "x=linspace(-180,-120,100)\n",
+      "L=-(Lm/60)*x-2*Lm\n",
+      "plot(x,L,'b')\n",
+      "#grid()\n",
+      "\n",
+      "x=linspace(-60,0,100)\n",
+      "L=(Lm/60)*x+Lm\n",
+      "plot(x,L,'b')\n",
+      "grid()\n",
+      "\n",
+      "x=linspace(0,60,100)\n",
+      "L=-(Lm/60)*x+Lm\n",
+      "plot(x,L,'b')\n",
+      "grid()\n",
+      "\n",
+      "\n",
+      "x=linspace(120,180,100)\n",
+      "L=(Lm/60)*x-2*Lm\n",
+      "plot(x,L)\n",
+      "annotate('Lm=0.128 H',xy=(-150,0.10))\n",
+      "annotate('Lmax',xy=(0,Lm+0.005))\n",
+      "ylabel('L11(theta)')\n",
+      "xlabel('theta')\n",
+      "grid()\n",
+      "\n",
+      "#part(b)\n",
+      "subplot(2,1,2)\n",
+      "x1=linspace(-180,-120,100)\n",
+      "x2=linspace(-150,-90,100)\n",
+      "i1=5\n",
+      "i2=4\n",
+      "Tm1=(Lm/(2*pi/3))*i1**2\n",
+      "Tm2=(Lm/(2*pi/3))*i2**2\n",
+      "dll=np.ones(100)\n",
+      "plot(x1,-Tm1*np.array(dll),'g')\n",
+      "plot(x2,Tm2*np.array(dll),'b--')\n",
+      "\n",
+      "x1=linspace(-60,0,100)\n",
+      "x2=linspace(-90,-30,100)\n",
+      "Tm1=(Lm/(2*pi/3))*i1**2\n",
+      "Tm2=(Lm/(2*pi/3))*i2**2\n",
+      "dll=np.ones(100)\n",
+      "plot(x1,Tm1*np.array(dll),'g')\n",
+      "plot(x2,-Tm2*np.array(dll),'b--')\n",
+      "\n",
+      "x1=linspace(0,60,100)\n",
+      "x2=linspace(30,90,100)\n",
+      "Tm1=(Lm/(2*pi/3))*i1**2\n",
+      "Tm2=(Lm/(2*pi/3))*i2**2\n",
+      "dll=np.ones(100)\n",
+      "plot(x1,-Tm1*np.array(dll),'g')\n",
+      "plot(x2,Tm2*np.array(dll),'b--')\n",
+      "\n",
+      "x1=linspace(120,180,100)\n",
+      "x2=linspace(90,150,100)\n",
+      "Tm1=(Lm/(2*pi/3))*i1**2\n",
+      "Tm2=(Lm/(2*pi/3))*i2**2\n",
+      "dll=np.ones(100)\n",
+      "plot(x1,Tm1*np.array(dll),'g')\n",
+      "plot(x2,-Tm2*np.array(dll),'b--')\n",
+      "grid()\n",
+      "ylim(-3,3)\n",
+      "annotate('___ i1=I1, i2=0', xy=(110,2.6))\n",
+      "annotate('---- i1=0, i2=I2', xy=(110,2.2))\n",
+      "ylabel('Torque [N.m]')\n",
+      "xlabel('thetam [degrees]')\n",
+      "\n",
+      "#Results:\n",
+      "print \"Lm =\",Lm,\"H\"\n",
+      "print \"(c)The peak torque =\",round(Tm1,2),\"N.m\"\n",
+      "print \"\\t(i)  The net torque, (at thetam=0) =\", 0, \"N.m\"\n",
+      "print \"\\t(ii) The net torque, (at thetam=45 deg.) =\", 0, \"N.m\"\n",
+      "print \"\\t(iii)The net torque, (at thetam=75 deg) =\", round(Tm1,2), \"N.m\"\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Populating the interactive namespace from numpy and matplotlib\n",
+        "Lm ="
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " 0.127968099059 H\n",
+        "(c)The peak torque = 1.53 N.m\n",
+        "\t(i)  The net torque, (at thetam=0) = 0 N.m\n",
+        "\t(ii) The net torque, (at thetam=45 deg.) = 0 N.m\n",
+        "\t(iii)The net torque, (at thetam=75 deg) = 1.53 N.m\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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HDh3Qs2dPkxlKm700dPkq+DoKkTA9e8YMYbq2JSzJOXKkcOX5kSNAixa25ywNKc6ntZSQ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\niIiIL0ocIiLiixKHiIj4osQhIiK+/ADYIdwwaPRWXQAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x1d13bd0>"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 8.3, Page number: 424"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "from sympy import *\n",
+      "from math import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "n1=4000                             #r/min\n",
+      "R=0.038                             #m\n",
+      "a=b=pi/3                            #rad\n",
+      "g=2.54*10**-4                       #m\n",
+      "D=0.13                              #m\n",
+      "N=100                               #turns in both poles\n",
+      "uo=4*pi*10**-7                      #permeability of free space(H/m)\n",
+      "Ll=0.005                            #H\n",
+      "Vo=100                              #phase voltage applied to phase 1.(V)\n",
+      "\n",
+      "\n",
+      "#Calculation:\n",
+      "wm=n1*pi/30\n",
+      "Lm=N**2*uo*a*R*D/(2*g)\n",
+      "thetam=symbols('thetam')\n",
+      "t=symbols('t')\n",
+      "#for part (a):\n",
+      "#for -60<=thetam<=0deg,\n",
+      "L11=Ll+(Lm/(pi/3))*(thetam+pi/3)\n",
+      "L111=diff(L11,thetam)\n",
+      "R1=L111*wm\n",
+      "#which is nuch greater than resistance R=1.5 ohm\n",
+      "thetam=-pi/3+wm*t\n",
+      "i1=Vo*t/(float(round(Ll,3))+float(Lm/(pi/3))*thetam+float(Lm/(pi/3))*pi/3)\n",
+      "\n",
+      "#for part (b):\n",
+      "V2=-200                                     #applied voltage(V)\n",
+      "thetam2=symbols('thetam2')\n",
+      "L12=Ll+(Lm/(pi/3))*(pi/3-thetam2)\n",
+      "L112=diff(L12,thetam2)\n",
+      "to=2.5*10**-3                                     #ms\n",
+      "thetam2=float(-pi/3+wm*to)\n",
+      "i1=Vo*t/(float(round(Ll,3))+float(Lm/(pi/3))*thetam+float(Lm/(pi/3))*pi/3)\n",
+      "i2=(0.25-200*(t-to))/(0.005+51.1*(5*10**-3-t))\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"i1 =\",i1,\"\\t, (where round(16.2934044186179*pi,2) = 51.1 )\"\n",
+      "print \"\\ni2 =\",i2,\"\\n\"\n",
+      "\n",
+      "\n",
+      "#Calculations & Results:\n",
+      "#for part (c):\n",
+      "from __future__ import division\n",
+      "from pylab import *\n",
+      "\n",
+      "Lleak=0.005\n",
+      "Posintegral=0\n",
+      "integral=0\n",
+      "N1=500\n",
+      "tmax=3.75*10**-3\n",
+      "t=[0]*503\n",
+      "thet=[0]*503\n",
+      "Torque=[0]*503\n",
+      "deltat = tmax/N1\n",
+      "thetm=[0]*503\n",
+      "i=[0]*503\n",
+      "for n in range(1,N1+2,1):\n",
+      "    t[n-1]=tmax*(n-1)/N1\n",
+      "    thetm[n-1]=-(pi/3)+(400*pi/3)*t[n-1]\n",
+      "    if (thetm[n-1]<=0):\n",
+      "        i[n-1]=100*t[n-1]/(0.005+51.1*t[n-1])\n",
+      "        dld1d1theta = 0.122\n",
+      "        Torque[n-1]=0.5*i[n-1]**2*dld1d1theta\n",
+      "        Posintegral=Posintegral+Torque[n-1]*deltat\n",
+      "        integral=Posintegral\n",
+      "    else:\n",
+      "        i[n-1]=(0.25-200*(t[n-1]-2.5*10**-3))/(0.005+51.1*(5*10**-3-t[n-1]))\n",
+      "        dld11dtheta = -0.122\n",
+      "        Torque[n-1] = 0.5*i[n-1]**2*dld11dtheta\n",
+      "        integral = integral + Torque[n-1]*deltat\n",
+      "\n",
+      "print \"\\nPositve torque integral =\",Posintegral, \"[N-m-sec]\"\n",
+      "print \"\\nTorque integral=\",integral,\"[N-m-sec]\\n\"\n",
+      "\n",
+      "plot(1000*np.array(t),i)\n",
+      "xlabel('time [msec]')\n",
+      "ylabel('Phase current [A]')\n",
+      "title('(a) phase-1 current profile')\n",
+      "grid()\n",
+      "show()\n",
+      "plot(1000*np.array(t),Torque)\n",
+      "xlabel('time [msec]')\n",
+      "ylabel('Torque [N-m]')\n",
+      "title('(b) torque profile')\n",
+      "grid()\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Populating the interactive namespace from numpy and matplotlib\n",
+        "i1 ="
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " 100*t/(51.1872396234976*t + 0.005) \t, (where round(16.2934044186179*pi,2) = 51.1 )\n",
+        "\n",
+        "i2 = (-200*t + 0.75)/(-51.1*t + 0.2605) \n",
+        "\n",
+        "\n",
+        "Positve torque integral = 0.000456384094483 [N-m-sec]\n",
+        "\n",
+        "Torque integral= 0.000335463884625 [N-m-sec]\n",
+        "\n"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stderr",
+       "text": [
+        "WARNING: pylab import has clobbered these variables: ['fmod', 'cosh', 'sinh', 'trunc', 'tan', 'gamma', 'degrees', 'radians', 'sin', 'expm1', 'ldexp', 'isnan', 'frexp', 'ceil', 'copysign', 'cos', 'tanh', 'fabs', 'sqrt', 'hypot', 'log', 'log10', 'pi', 'log1p', 'floor', 'modf', 'exp', 'isinf', 'e']\n",
+        "`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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cS9cJbpGRkZw9e7bCO3e3nBxITISuXY05vlWubbZCTitkBMnpapXN+Yc/QEGB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\ntWoxZMgQNmzYUGy7ioQ2e1e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7925q1Sr+X7G8QieEXmSMQVQbdevW5cqVKxX+uaI34EaN\nGnHjjTeyfv16+/dLG2OoqKysLDIzM+nXrx/z5s1j7969APTq1Yt3333Xvl3R8Xr37m1fOhkgIyPD\nJTmEcIYUBlFtBAYGEh4eTvv27Xn22Wex2Wz2q3eu/bro+bVfFz1fsWIF8+bNIywsjA4dOjg96Fva\nvoueZ2Rk0LdvXyIiIoiKiuL1118H4N1337XfAKZDhw4sWLAAgJkzZ3Ly5Enat29PeHg4W7ZsqUSL\nCFE5cj8GISrolVdewcfHhylTphhy/B49ejBv3jwiIyMNOb6o/uSMQYgK8vHx4b333jNsgltSUpLD\nOIYQriZnDEIIIRzIGYMQQggHUhiEEEI4kMIghBDCgRQGIYQQDqQwCCGEcPD/ATnLc2SOfyyJAAAA\nAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x388b510>"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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cObLQ8nvvvafLvoQQxZOehvudOQMTJ8Lq1dqhzfPmga+v0alcU+qcxocffsjX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\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x3a36f90>"
+       ]
+      }
+     ],
+     "prompt_number": 3
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 8.4, Page number: 433"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "\n",
+      "#Variavle declaration:\n",
+      "rpm=2500                        #rpm of motor\n",
+      "\n",
+      "\n",
+      "#Calculations & Results:\n",
+      "#For part (a):\n",
+      "theta=[0]*12\n",
+      "i=[0]*102\n",
+      "lambda1=[0]*102\n",
+      "for m in range(1,11,1):\n",
+      "    theta[m-1]=10*(m-1)\n",
+      "    for n in range(1,102,1):\n",
+      "        i[n-1]=30*(n-1)/100\n",
+      "        lambda1[n-1]=i[n-1]*(0.005+0.09*((90-theta[m-1])/90))*(8/(i[n-1]+8))\n",
+      "\n",
+      "    \n",
+      "    plot(i,lambda1,'.')\n",
+      "    \n",
+      "    if m==1:\n",
+      "        hold(True)\n",
+      "        \n",
+      "xlabel('current [A]')\n",
+      "ylabel('Lambda [Wb]')\n",
+      "title('Family of lambda-i curves as theta_m varies from 0 to 90 degrees')    \n",
+      "annotate('theta_m=0 deg',xy=(6,0.03))\n",
+      "annotate('theta_m=0 deg',xy=(8,0.5))\n",
+      "\n",
+      "\n",
+      "#for part (b):\n",
+      "lambdamax=25*(0.005+0.09*(8/(25+8)))\n",
+      "AreaWnet=0\n",
+      "AreaWrec=0\n",
+      "deli=0.25\n",
+      "for n in range(1,102,1):\n",
+      "    i[n-1]=25*(n-1)/100\n",
+      "    AreaWnet=AreaWnet + deli*i[n-1]*(0.09)*(8/(i[n-1]+8))\n",
+      "    AreaWrec=AreaWrec + deli*(lambdamax-i[n-1]*(0.005+0.09*(8/(i[n-1]+8))))\n",
+      "\n",
+      "Ratio=(AreaWnet+AreaWrec)/AreaWnet\n",
+      "print \"part (b): Ratio =\", round(Ratio,2)\n",
+      "\n",
+      "#for part(b):\n",
+      "rps=rpm/60\n",
+      "T=1/rps\n",
+      "Pphase=2*AreaWnet/T\n",
+      "Ptot=2*Pphase\n",
+      "print \"part (c): AreaWnet =\", round(AreaWnet,2),\"Joules\"\n",
+      "print \"Pphase =\",round(Pphase),\"W\",\"\\tPtot =\",round(Ptot),\"W\\n\"\n",
+      "plot(AreaWrec=0.7,AreaWnet=25)\n",
+      "grid()\n",
+      "show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Populating the interactive namespace from numpy and matplotlib\n",
+        "part (b): Ratio ="
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " 1.55\n",
+        "part (c): AreaWnet = 9.91 Joules\n",
+        "Pphase = 825.0 W \tPtot = 1651.0 W\n",
+        "\n"
+       ]
+      },
+      {
+       "output_type": "stream",
+       "stream": "stderr",
+       "text": [
+        "WARNING: pylab import has clobbered these variables: ['power', 'random', 'fft', 'linalg', 'info']\n",
+        "`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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arSaffvqpYN+uu+46sn//fkIIIc888wxJSkrq8ZzywQ6pTZvmmRCaN8M2LkJh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\nAAAAAElFTkSuQmCC\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x3a59f50>"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter9.ipynb b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter9.ipynb
new file mode 100755
index 00000000..3cdb1b6c
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/chapter9.ipynb
@@ -0,0 +1,390 @@
+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:934a14335227a49c83c2d399431a59d2d79025dde47942572f3e87ac684c8499"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 9: Single- and Two-Phase Motors"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 9.1, Page number: 459"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "from sympy import *\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Zmain=4.5+3.7j                              #main winding impedance(ohm)\n",
+      "Zaux=9.5+3.5j                               #auxilliary winding impedance(ohm)\n",
+      "f=60                                        #frequency(Hz)\n",
+      "\n",
+      "\n",
+      "#Calculations:\n",
+      "phy_main=math.degrees(math.atan(Zmain.imag/Zmain.real))\n",
+      "phy=phy_main-90\n",
+      "w=2*pi*60\n",
+      "Xc=symbols('Xc')\n",
+      "a=solve((3.5+Xc)/9.5-math.tan(math.radians(float(phy))), Xc)\n",
+      "C=-1/(w*a[0])\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"The starting capacitance:\",round(float(C)*10**6,0), \"uF\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The starting capacitance: 176.0 uF\n"
+       ]
+      }
+     ],
+     "prompt_number": 1
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 9.2, Page number: 467"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import cmath\n",
+      "from math import *\n",
+      "\n",
+      "\n",
+      "#Variable Declaration:\n",
+      "R1_m=2.02                                   #resistance of main winding(ohm)\n",
+      "X1_m=2.79                                   #resistance of main\n",
+      "R2_m= 4.12                                  #Rotor resistance ref. to stator(ohm)\n",
+      "X2_m=2.12                                   #Rotor reactance ref. to stator(ohm)\n",
+      "Xm=66.8                                     #Magnetising reactance(ohm)\n",
+      "s=0.05                                      #slip\n",
+      "Pcu=24                                       #copper loss(W)\n",
+      "Pw=13                                       #friction & windage loss(W)\n",
+      "V=110                                       #line-to-line voltage(V)\n",
+      "p=4                                         #no.of poles\n",
+      "fc=60                                       #frequency(Hz)\n",
+      "\n",
+      "#Calculations:\n",
+      "X22=X2_m+Xm\n",
+      "Q2_m=X22/R2_m\n",
+      "Rf=(Xm**2/X22)*(1/(s*Q2_m+1/(s*Q2_m)))\n",
+      "Xf=(X2_m*Xm/X22)+Rf/(s*Q2_m)\n",
+      "Zf=Rf+1j*Xf                             #forward field impedance(ohm)\n",
+      "\n",
+      "Rb=R2_m*(Xm/X22)**2/(2-s)\n",
+      "Xb=(X2_m*Xm/X22)+Rb/((2-s)*Q2_m)\n",
+      "Zb=Rb+1j*Xb                             #bachward field impedance\n",
+      "Zt=0.5*(Zf+Zb)+R1_m+1j*X1_m\n",
+      "I=V/abs(Zt)                             #Stator current(A)\n",
+      "pf=cos(cmath.phase(Zt))                 #power factor\n",
+      "Pin=V*I*pf\n",
+      "Pg_f=I**2*0.5*Rf                        #power absorbed by forward field(W)\n",
+      "Pg_b=I**2*0.5*Rb                        #power absorbed by backward field(W)\n",
+      "Pmech=(1-s)*(Pg_f-Pg_b)\n",
+      "Pshaft=Pmech-(Pcu+Pw)\n",
+      "ws=(2/p)*120*pi\n",
+      "ns=(120/p)*fc\n",
+      "n=(1-s)*ns                              #Rotor speed(rpm)\n",
+      "wm=(1-s)*ws\n",
+      "Tshaft=Pshaft/wm                         #shaft torque(Nm)\n",
+      "eff=Pshaft/Pin\n",
+      "\n",
+      "#Results:\n",
+      "print \"Stator current:\",round(I),\"A\", \"\\nPower factor:\",round(pf,3)\n",
+      "print \"Power output:\",round(Pshaft),\"W\", \"\\nSpeed:\",n,\"rpm\"\n",
+      "print \"Shaft torque:\",round(Tshaft,3),\"Nm\",\"Efficiency\",round(eff*100),\"%\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Stator current: 4.0 A \n",
+        "Power factor: 0.621\n",
+        "Power output: 147.0 W \n",
+        "Speed: 1710.0 rpm\n",
+        "Shaft torque: 0.823 Nm Efficiency 60.0 %\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 9.3, Page number: 474"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "import math\n",
+      "import cmath\n",
+      "\n",
+      "\n",
+      "#Variable declaration:\n",
+      "f=60                                        #freq(Hz)\n",
+      "omeag=2*pi*f\n",
+      "s=0.05                                      #slip\n",
+      "R1=0.534                                    #resistance of main winding(ohm)\n",
+      "X1=2.45\n",
+      "Xm=70.1\n",
+      "R2=0.956\n",
+      "X2=2.96\n",
+      "Valpha=230\n",
+      "Vbeta=210*cmath.exp(1j*80*pi/180)\n",
+      "\n",
+      "#Calculations:\n",
+      "Vf = 0.5*(Valpha - 1j*Vbeta)\n",
+      "Vb = 0.5*(Valpha + 1j*Vbeta)\n",
+      "Zf=R1+1j*X1+1j*Xm*(R2/s+1j*X2)/(R2/s+1j*(X2+Xm))\n",
+      "If=Vf/Zf\n",
+      "Zb=R1+1j*X1+1j*Xm*(R2/(2-s)+1j*X2)/(R2/(2-s)+1j*(X2+Xm))\n",
+      "Ib = Vb/Zb\n",
+      "Ialpha=If+Ib\n",
+      "Ibeta=1j*(If-Ib)\n",
+      "Pgf=2*((Vf*(If.conjugate())).real-R1*abs(If)**2)\n",
+      "Pgb=2*((Vb*(Ib.conjugate())).real-R1*abs(Ib)**2)\n",
+      "Pmech=(1-s)*(Pgf-Pgb)\n",
+      "\n",
+      "\n",
+      "#Results:\n",
+      "print \"(a) Positive seq components:\", round(Vf.real,1)+1j*round(Vf.imag,1),\"V\"\n",
+      "print\"    Negative seq. components:\", round(Vb.real,1)+1j*round(Vb.imag,1),\"V\"\n",
+      "\n",
+      "print\"\\n(b) Positive stator currents:\",round(If.real,1)+1j*round(If.imag,1),\"A\"\n",
+      "print\"    Negative stator currnets:\",round(Ib.real,1)+1j*round(Ib.imag,1),\"A\"\n",
+      "\n",
+      "print\"\\n(c) Positive currents:\",round(Ialpha.real,1)+1j*round(Ialpha.imag,1),\"A\"\n",
+      "print\"    Negative currnets:\",round(Ibeta.real,1)+1j*round(Ibeta.imag,1),\"A\"\n",
+      "\n",
+      "print \"\\n(d) Power to forward field:\",round(Pgf,0),\"W\"\n",
+      "print \"    Power to backward field:\",round(Pgb,0),\"W\"\n",
+      "print \"    Pmech:\",round(Pmech,0),\"W\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "(a) Positive seq components: (218.4-18.2j) V\n",
+        "    Negative seq. components: (11.6+18.2j) V\n",
+        "\n",
+        "(b) Positive stator currents: (9.3-6.3j) A\n",
+        "    Negative stator currnets: (3.7-1.5j) A\n",
+        "\n",
+        "(c) Positive currents: (13-7.8j) A\n",
+        "    Negative currnets: (4.8+5.6j) A\n",
+        "\n",
+        "(d) Power to forward field: 4149.0 W\n",
+        "    Power to backward field: 15.0 W\n",
+        "    Pmech: 3928.0 W\n"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    },
+    {
+     "cell_type": "heading",
+     "level": 3,
+     "metadata": {},
+     "source": [
+      "Example 9.5, Page number: 483"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "from __future__ import division\n",
+      "%matplotlib inline\n",
+      "import cmath\n",
+      "from math import *\n",
+      "from matplotlib.pyplot import *\n",
+      "\n",
+      "#Variable declaration:\n",
+      "Lmain=0.0806                           #main winding inductance(H)\n",
+      "Rmain = 0.58                           #main winding resistance(ohm)\n",
+      "Laux = 0.196                           #auxilliary winding inductance(H)\n",
+      "Raux = 3.37                            #auxilliary winding resistance(ohm)\n",
+      "Lr=4.7*10**-6                          #rotor inductance(H)\n",
+      "Rr=37.6*10**-6                         #rotor resistance(ohm)\n",
+      "Lmain_r=0.588*10**-3                   #main inductance ref. to rotor(H)\n",
+      "Laux_r = 0.909*10**-3                  #aux inductance ref. to rotor(H)\n",
+      "p=2                                    #poles\n",
+      "Vo=230                                 #terminal voltage(V)\n",
+      "w=120*pi                               #angular frequency(Hz)\n",
+      "C=35*10**-6\n",
+      "Prot=40                                #Windage losses(W)\n",
+      "Pcore=105                              #Core loss(W)\n",
+      "n=3500                                 #rpm\n",
+      "\n",
+      "\n",
+      "#calculations and Results:\n",
+      "Xc=-1/(w*C)\n",
+      "speed=[0]*102\n",
+      "for cal in range(1,3,1):\n",
+      "    if cal==1:\n",
+      "        mmax=2\n",
+      "    else:\n",
+      "        mmax=102\n",
+      "    for m in range(1,mmax,2):\n",
+      "        if cal==1:\n",
+      "            speed[m-1]=3500\n",
+      "        else:\n",
+      "            speed[m-1]=3599*(m-1)/100\n",
+      "        \n",
+      "        ns=(2/p)*3600\n",
+      "        s=(ns-speed[m-1])/ns\n",
+      "\n",
+      "#for part (a):\n",
+      "        Kplus=s*w/(2*(Rr+1j*s*w*Lr))\n",
+      "        Kminus=(2-s)*w/(2*(Rr+1j*(2-s)*w*Lr))\n",
+      "        A1=Lmain-1j*Lmain_r**2*(Kplus+Kminus)\n",
+      "        A2=Lmain_r*Laux_r*(Kplus-Kminus)\n",
+      "        A3=Laux-1j*Laux_r**2*(Kplus+Kminus)\n",
+      "        M=[[0]*2,[0]*2]\n",
+      "        M[0][0]=Rmain + 1j*w*A1\n",
+      "        M[0][1] = 1j*w*A2;\n",
+      "        M[1][0] = -1j*w*A2;\n",
+      "        M[1][1] = Raux + 1j*Xc+ 1j*w*A3\n",
+      "        V=[[Vo],[-Vo]]\n",
+      "        M1=inv(M)\n",
+      "        I=dot(M1,V)\n",
+      "        Imain=I[0][0]\n",
+      "        Iaux=I[1][0]\n",
+      "        Is=Imain-Iaux\n",
+      "        magImain=abs(Imain)\n",
+      "        angleImain=math.degrees(cmath.phase(Imain))\n",
+      "        magIaux=abs (Iaux)\n",
+      "        angleIaux=math.degrees(cmath.phase(Iaux))\n",
+      "        magIs=abs(Is)\n",
+      "        angleIs=math.degrees(cmath.phase(Is))\n",
+      "        Vcap=Iaux*Xc\n",
+      "        magVcap=abs(Vcap)\n",
+      "        \n",
+      "    #for part (b):\n",
+      "        Tmech=[0]*102\n",
+      "        Pshaft=[0]*102\n",
+      "        Tmechl = (Kplus-Kminus).conjugate()\n",
+      "        Tmechl=Tmechl*(Lmain_r**2*Imain*((Imain).conjugate())+Laux_r**2*Iaux*((Iaux).conjugate()))\n",
+      "        Tmech2 = 1j*Lmain_r*Laux_r*((Kplus+Kminus).conjugate())\n",
+      "        Tmech2 = Tmech2*((Imain).conjugate()*Iaux-Imain*((Iaux).conjugate()));\n",
+      "        Tmech[m-1] = (p/2)*(Tmechl+Tmech2).real\n",
+      "        Pshaft=((2/p)*(1-s)*w*Tmech[m-1])-Prot\n",
+      "        \n",
+      "    #for part (c):\n",
+      "        Pmech=[0]*102\n",
+      "        Pmain = (Vo*(Imain.conjugate())).real\n",
+      "        Paux = (-Vo*(Iaux.conjugate())).real\n",
+      "        Pin = Pmain+Paux+Pcore\n",
+      "        eta = Pshaft/Pin;\n",
+      "        if cal==1:\n",
+      "            print \"part (a):\"\n",
+      "            print  \"\\nImain=\",round(magImain,1),\"A  at an angle\",round(angleImain,1),\"degrees\"\n",
+      "            print  \"\\nImain=\",round(magIaux,1),\"A  at an angle\",round(angleIaux,1),\"degrees\"\n",
+      "            print  \"\\nImain=\",round(magIs,1),\"A  at an angle\",round(angleIs,1),\"degrees\"\n",
+      "            print  \"\\nVcap=\",round(magVcap,0),\"V\"\n",
+      "            print \"\\npart (b):\"\n",
+      "            print \"\\nTmech=\",round(Tmech[0],2),\"Nm\"\n",
+      "            print \"\\nPshaft=\",round(Pshaft),\"W\"\n",
+      "            print \"\\npart (c):\"\n",
+      "            print \"\\nPmain=\",round(Pmain,0),\"W\"\n",
+      "            print \"\\nPaux=\",round(Paux,0),\"W\"\n",
+      "            print \"\\nPin=\",round(Pin,0),\"W\"\n",
+      "            print \"\\nEfficiency=\",round(eta*100,1),\"%\"\n",
+      "        else:\n",
+      "            \n",
+      "            plot(speed,Tmech,'g.')\n",
+      "            xlabel('speed (rpm)')\n",
+      "            ylabel('Tmech (Nm)')\n",
+      "            title('Electromagnetic torque vs speed')\n",
+      "    show()"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "part (a):\n",
+        "\n",
+        "Imain= 15.9 A  at an angle -37.6 degrees\n",
+        "\n",
+        "Imain= 5.2 A  at an angle -150.8 degrees\n",
+        "\n",
+        "Imain= 18.5 A  at an angle -22.7 degrees\n",
+        "\n",
+        "Vcap= 394.0 V\n",
+        "\n",
+        "part (b):\n",
+        "\n",
+        "Tmech= 9.75 Nm\n",
+        "\n",
+        "Pshaft= 3532.0 W\n",
+        "\n",
+        "part (c):\n",
+        "\n",
+        "Pmain= 2893.0 W\n",
+        "\n",
+        "Paux= 1043.0 W\n",
+        "\n",
+        "Pin= 4041.0 W\n",
+        "\n",
+        "Efficiency= 87.4 %\n"
+       ]
+      },
+      {
+       "metadata": {},
+       "output_type": "display_data",
+       "png": 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KagsAyoHkACoNtQUA5cC0Eqg01BYAWgc1B9BIqC0AvBnUHEAjobYAoFqQHEAl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\nAABACpIDAABI+T9crBvDDQoKmwAAAABJRU5ErkJggg==\n",
+       "text": [
+        "<matplotlib.figure.Figure at 0x2854950>"
+       ]
+      }
+     ],
+     "prompt_number": 4
+    }
+   ],
+   "metadata": {}
+  }
+ ]
+}
+\ No newline at end of file
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/screenshots/capture1.png b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/screenshots/capture1.png
new file mode 100755
index 00000000..1196a40b
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/screenshots/capture1.png
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/screenshots/capture2.png b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/screenshots/capture2.png
new file mode 100755
index 00000000..56b278d5
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/screenshots/capture2.png
diff --git a/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/screenshots/capture3.png b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/screenshots/capture3.png
new file mode 100755
index 00000000..a8df3c9e
--- /dev/null
+++ b/ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans/screenshots/capture3.png
author	Thomas Stephen Lee	2015-09-04 22:04:10 +0530
committer	Thomas Stephen Lee	2015-09-04 22:04:10 +0530
commit	41f1f72e9502f5c3de6ca16b303803dfcf1df594 (patch)
tree	f4bf726a3e3ce5d7d9ee3781cbacfe3116115a2c /ELECTRIC_MACHINERY_by_Fitzgerald_Kingsley_and_Umans
parent	9c9779ba21b9bedde88e1e8216f9e3b4f8650b0e (diff)
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