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-{

- "metadata": {

-  "name": ""

- },

- "nbformat": 3,

- "nbformat_minor": 0,

- "worksheets": [

-  {

-   "cells": [

-    {

-     "cell_type": "heading",

-     "level": 1,

-     "metadata": {},

-     "source": [

-      "Chapter 13 : Power Factor Improvement"

-     ]

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 13.1, Page No 754"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "import math\n",

-      "#initialisation of variables\n",

-      "V_s=250.0\n",

-      "R_l=5.0\n",

-      "I_l=20.0\n",

-      "V_l1=math.sqrt(V_s**2-(R_l*I_l)**2)\n",

-      "reg2=(V_s-V_l1)/V_s*100    \n",

-      "pf1=1.0\n",

-      "\n",

-      "#Calculations\n",

-      "P_l1=V_l1*I_l*pf1     #load power\n",

-      "P_r1=V_s*I_l*pf1     #max powwible system rating\n",

-      "utf1=P_l1*100/P_r1  \n",

-      "pf2=0.5\n",

-      " #(.5*V_l)**2+(.866*V_l+R_l*I_l)**2=V_s**2\n",

-      " #after solving\n",

-      "V_l2=158.35    \n",

-      "reg2=(V_s-V_l2)/V_s*100    \n",

-      "P_l2=V_l2*I_l*pf2   #load power\n",

-      "P_r2=V_s*I_l     #max powwible system rating\n",

-      "utf2=P_l2*100/P_r2    \n",

-      "\n",

-      "\n",

-      "#Results\n",

-      "print(\"for pf=1\")\n",

-      "print(\"load voltage=%.2f V\" %V_l1)\n",

-      "print(\"voltage regulation=%.2f\" %reg1)\n",

-      "print(\"system utilisation factor=%.3f\" %utf1)\n",

-      "print(\"energy consumed(in units)=%.1f\" %(P_l1/1000))\n",

-      "print(\"for pf=.5\")\n",

-      "print(\"load voltage=%.2f V\" %V_l2)\n",

-      "print(\"voltage regulation=%.2f\" %reg2)\n",

-      "print(\"system utilisation factor=%.3f\" %utf2)\n",

-      "print(\"energy consumed(in units)=%.2f\" %(P_l2/1000))\n"

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "ename": "NameError",

-       "evalue": "name 'reg1' is not defined",

-       "output_type": "pyerr",

-       "traceback": [

-        "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",

-        "\u001b[1;32m<ipython-input-2-ffdbe43fd921>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m     25\u001b[0m \u001b[1;32mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"for pf=1\"\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     26\u001b[0m \u001b[1;32mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"load voltage=%.2f V\"\u001b[0m \u001b[1;33m%\u001b[0m\u001b[0mV_l1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 27\u001b[1;33m \u001b[1;32mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"voltage regulation=%.2f\"\u001b[0m \u001b[1;33m%\u001b[0m\u001b[0mreg1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m     28\u001b[0m \u001b[1;32mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"system utilisation factor=%.3f\"\u001b[0m \u001b[1;33m%\u001b[0m\u001b[0mutf1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     29\u001b[0m \u001b[1;32mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"energy consumed(in units)=%.1f\"\u001b[0m \u001b[1;33m%\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mP_l1\u001b[0m\u001b[1;33m/\u001b[0m\u001b[1;36m1000\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",

-        "\u001b[1;31mNameError\u001b[0m: name 'reg1' is not defined"

-       ]

-      },

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "for pf=1\n",

-        "load voltage=229.13 V\n"

-       ]

-      }

-     ],

-     "prompt_number": 2

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 13.2, Page No 756"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "import math\n",

-      "#initialisation of variables\n",

-      "f=50.0\n",

-      "V_s=230.0\n",

-      "I_m1=2\n",

-      "pf1=.3\n",

-      "\n",

-      "#Calculations\n",

-      "I_c1=I_m1*math.sin(math.radians(math.degrees(math.acos(pf1))))\n",

-      "C1=I_c1/(2*math.pi*f*V_s)    \n",

-      "I_m2=5\n",

-      "pf2=.5\n",

-      "I_c2=I_m2*math.sin(math.radians(math.degrees(math.acos(pf2))))\n",

-      "C2=I_c2/(2*math.pi*f*V_s)    \n",

-      "I_m3=10\n",

-      "pf3=.7\n",

-      "I_c3=I_m3*math.sin(math.radians(math.degrees(math.acos(pf3))))\n",

-      "C3=I_c3/(2*math.pi*f*V_s)    \n",

-      "\n",

-      "#Results\n",

-      "print(\"at no load\")\n",

-      "print(\"value of capacitance=%.3f uF\" %(C1*10**6))\n",

-      "print(\"at half full load\")\n",

-      "print(\"value of capacitance=%.3f uF\" %(C2*10**6))\n",

-      "print(\"at full load\")\n",

-      "print(\"value of capacitance=%.3f uF\" %(C3*10**6))"

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "at no load\n",

-        "value of capacitance=26.404 uF\n",

-        "at half full load\n",

-        "value of capacitance=59.927 uF\n",

-        "at full load\n",

-        "value of capacitance=98.834 uF\n"

-       ]

-      }

-     ],

-     "prompt_number": 3

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 13.3 Page No 764"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "import math\n",

-      "#initialisation of variables\n",

-      "I_c=10.0\n",

-      "f=50.0\n",

-      "V_s=230.0\n",

-      "\n",

-      "#Calculations\n",

-      "C=I_c/(2*math.pi*f*V_s)    \n",

-      "I_l=10\n",

-      "L=V_s/(2*math.pi*f*I_l)   \n",

-      "\n",

-      "#Results\n",

-      "print(\"value of capacitance=%.3f uF\" %(C*10**6))\n",

-      "print(\"value of inductor=%.3f mH\" %(L*1000))\n"

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "value of capacitance=138.396 uF\n",

-        "value of inductor=73.211 mH\n"

-       ]

-      }

-     ],

-     "prompt_number": 4

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 13.4, Page No 765"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "import math\n",

-      "#initialisation of variables\n",

-      "V_s=230.0\n",

-      "I_L=10.0\n",

-      "X_L=V_s/I_L\n",

-      "I_f1=6.0\n",

-      " #B=2*a-math.sin(2*a)\n",

-      "B=2*math.pi-I_f1*math.pi*X_L/V_s\n",

-      "a=0\n",

-      "i=1.0\n",

-      "for a in range(1,360):\n",

-      "    b=2*a*math.pi/180-math.sin(math.radians(2*a))   \n",

-      "    if math.fabs(B-b)<=0.001  :      #by hit and trial\n",

-      "        i=2\n",

-      "        break\n",

-      "print(\"firing angle of TCR = %.1f deg\" %a)\n",

-      " #(a-.01)*180/math.pi)\n",

-      " \n"

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "firing angle of TCR = 359.0 deg\n"

-       ]

-      }

-     ],

-     "prompt_number": 5

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 13.5 Page No 766"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "import math\n",

-      "#initialisation of variables\n",

-      "L=.01\n",

-      "\n",

-      "\n",

-      "#Calculations\n",

-      "print(\"for firing angle=90deg\")\n",

-      "a=90*math.pi/180\n",

-      "L_eff=math.pi*L/(2*math.pi-2*a+math.sin(2*a))    \n",

-      "print(\"effective inductance=%.0f mH\" %(L_eff*1000))\n",

-      "print(\"for firing angle=120deg\")\n",

-      "a=120*math.pi/180\n",

-      "L_eff=math.pi*L/(2*math.pi-2*a+math.sin(2*a))    \n",

-      "print(\"effective inductance=%.3f mH\" %(L_eff*1000))\n",

-      "print(\"for firing angle=150deg\")\n",

-      "a=150*math.pi/180\n",

-      "L_eff=math.pi*L/(2*math.pi-2*a+math.sin(2*a))    \n",

-      "print(\"effective inductance=%.2f mH\" %(L_eff*1000))\n",

-      "print(\"for firing angle=170deg\")\n",

-      "a=170*math.pi/180\n",

-      "L_eff=math.pi*L/(2*math.pi-2*a+math.sin(2*a))    \n",

-      "print(\"effective inductance=%.3f H\" %L_eff)\n",

-      "print(\"for firing angle=175deg\")\n",

-      "a=175*math.pi/180\n",

-      "L_eff=math.pi*L/(2*math.pi-2*a+math.sin(2*a))  \n",

-      "\n",

-      "#Results\n",

-      "print(\"effective inductance=%.2f H\" %L_eff)\n",

-      "print(\"for firing angle=180deg\")\n",

-      "a=180*math.pi/180\n",

-      "L_eff=math.pi*L/(2*math.pi-2*a+math.sin(2*a))    \n",

-      "print(\"effective inductance=%.3f H\" %L_eff)\n",

-      " #random value at firing angle =180 is equivalent to infinity as in answer in book\n"

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "for firing angle=90deg\n",

-        "effective inductance=10 mH\n",

-        "for firing angle=120deg\n",

-        "effective inductance=25.575 mH\n",

-        "for firing angle=150deg\n",

-        "effective inductance=173.40 mH\n",

-        "for firing angle=170deg\n",

-        "effective inductance=4.459 H\n",

-        "for firing angle=175deg\n",

-        "effective inductance=35.51 H\n",

-        "for firing angle=180deg\n",

-        "effective inductance=-128265253940037.750 H\n"

-       ]

-      }

-     ],

-     "prompt_number": 6

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 13.6 Page No 766"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "import math\n",

-      "#initialisation of variables\n",

-      "Q=100.0*10**3\n",

-      "V_s=11.0*10**3\n",

-      "\n",

-      "#Calculations\n",

-      "f=50.0\n",

-      "L=V_s**2/(2*math.pi*f*Q)    \n",

-      "\n",

-      "#Results\n",

-      "print(\"effective inductance=%.4f H\" %L)"

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "effective inductance=3.8515 H\n"

-       ]

-      }

-     ],

-     "prompt_number": 7

-    }

-   ],

-   "metadata": {}

-  }

- ]

-}
\ No newline at end of file