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+{

+ "metadata": {

+  "name": ""

+ },

+ "nbformat": 3,

+ "nbformat_minor": 0,

+ "worksheets": [

+  {

+   "cells": [

+    {

+     "cell_type": "heading",

+     "level": 1,

+     "metadata": {},

+     "source": [

+      "Chapter 11 : Some Applications"

+     ]

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 11.1, Page No 622"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#initialisation of variables\n",

+      "V_s=11000.0\n",

+      "V_ml=math.sqrt(2)*V_s\n",

+      "f=50.0\n",

+      "\n",

+      "#Calculations\n",

+      "w=2*math.pi*f\n",

+      "I_d=300\n",

+      "R_d=1\n",

+      "g=20 #g=gamma\n",

+      "a=math.degrees(math.acos(math.cos(math.radians(g))+math.pi/(3*V_ml)*I_d*R_d))    \n",

+      "L_s=.01\n",

+      "V_d=(3/math.pi)*((V_ml*math.cos(math.radians(a)))-w*L_s*I_d)    \n",

+      "\n",

+      "#Results\n",

+      "print(\"firing angle=%.3f deg\" %a)\n",

+      "print(\"rectifier o/p voltage=%.1f V\" %V_d)\n",

+      "print(\"dc link voltage=%.3f V\" %(2*V_d/1000))"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "firing angle=16.283 deg\n",

+        "rectifier o/p voltage=13359.3 V\n",

+        "dc link voltage=26.719 V\n"

+       ]

+      }

+     ],

+     "prompt_number": 1

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 11.2, Page No 623"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#initialisation of variables\n",

+      "V_d=(200.0+200)*10**3\n",

+      "P=1000.0*10**6\n",

+      "\n",

+      "#Calculations\n",

+      "I_d=P/V_d\n",

+      " #each thristor conducts for 120deg for a periodicity of 360deg\n",

+      "a=0\n",

+      "V_d=200.0*10**3\n",

+      "V_ml=V_d*math.pi/(3*math.cos(math.radians(a)))\n",

+      "\n",

+      "#Results\n",

+      "print(\"rms current rating of thyristor=%.2f A\" %(I_d*math.sqrt(120/360)))\n",

+      "print(\"peak reverse voltage across each thyristor=%.2f kV\" %(V_ml/2/1000))"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "rms current rating of thyristor=0.00 A\n",

+        "peak reverse voltage across each thyristor=104.72 kV\n"

+       ]

+      }

+     ],

+     "prompt_number": 2

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 11.3 Page No 627"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#initialisation of variables\n",

+      "V_m=230.0\n",

+      "V_s=230/math.sqrt(2)\n",

+      "pf=0.8\n",

+      "P=2000.0\n",

+      "\n",

+      "#Calculations\n",

+      "I_m=P/(V_s*pf)\n",

+      "I_Tr=I_m/math.sqrt(2)\n",

+      "I_TA=2*I_m/math.pi\n",

+      "fos=2 #factor of safety\n",

+      "PIV=V_m*math.sqrt(2)\n",

+      "I_Tr=I_m/(2)\n",

+      "I_TA=I_m/math.pi\n",

+      "\n",

+      "#Results\n",

+      "print(\"rms value of thyristor current=%.2f A\" %(fos*I_Tr))\n",

+      "print(\"avg value of thyristor current=%.3f A\" %(fos*I_TA))\n",

+      "print(\"voltage rating of thyristor=%.2f V\" %PIV)\n",

+      "print(\"rms value of diode current=%.3f A\" %(fos*I_Tr))\n",

+      "print(\"avg value of diode current=%.3f A\" %(fos*I_TA))\n",

+      "print(\"voltage rating of diode=%.2f V\" %PIV)\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "rms value of thyristor current=15.37 A\n",

+        "avg value of thyristor current=9.786 A\n",

+        "voltage rating of thyristor=325.27 V\n",

+        "rms value of diode current=15.372 A\n",

+        "avg value of diode current=9.786 A\n",

+        "voltage rating of diode=325.27 V\n"

+       ]

+      }

+     ],

+     "prompt_number": 3

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 11.4, Page No 629"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#initialisation of variables\n",

+      "V=200.0\n",

+      "I=10.0\n",

+      "\n",

+      "#Calculations\n",

+      "R_L=V/I    \n",

+      "I_h=.005     #holding current\n",

+      "R2=V/I_h    \n",

+      "t_c=20*10**-6\n",

+      "fos=2 #factor of safety\n",

+      "C=t_c*fos/(R_L*math.log(2))    \n",

+      "\n",

+      "#Results\n",

+      "print(\"value of load resistance=%.0f ohm\" %R_L)\n",

+      "print(\"value of R2=%.0f kilo-ohm\" %(R2/1000))\n",

+      "print(\"value of C=%.3f uF\" %(C*10**6))"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "value of load resistance=20 ohm\n",

+        "value of R2=40 kilo-ohm\n",

+        "value of C=2.885 uF\n"

+       ]

+      }

+     ],

+     "prompt_number": 4

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 11.5 Page No 646"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#initialisation of variables\n",

+      "u_r=10\n",

+      "f=10000.0 #Hz\n",

+      "p=4.0*10**-8 #ohm-m\n",

+      "\n",

+      "#Calculations\n",

+      "dl=(1/(2*math.pi))*math.sqrt(p*10**7/(u_r*f))    \n",

+      "l=0.12 #length of cylinder\n",

+      "t=20.0 #no of turns\n",

+      "I=100.0\n",

+      "H=t*I/l\n",

+      "P_s=2*math.pi*H**2*math.sqrt(u_r*f*p*10**-7)    \n",

+      "d=.02 #diameter\n",

+      "P_v=4*H**2*p/(d*dl)    \n",

+      "\n",

+      "#Results\n",

+      "print(\"depth of heat of penetration=%.5f mm\" %(dl*1000))\n",

+      "print(\"heat generated per unit cylinder surface area=%.3f W/m**2\" %P_s)\n",

+      "print(\"heat generated per unit cylinder volume=%.0f W/m**3\" %P_v)\n",

+      " #answer of P_v varies as given in book as value of d is not taken as in formulae. "

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "depth of heat of penetration=0.31831 mm\n",

+        "heat generated per unit cylinder surface area=34906.585 W/m**2\n",

+        "heat generated per unit cylinder volume=6981317 W/m**3\n"

+       ]

+      }

+     ],

+     "prompt_number": 5

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 11.6 Page No 646"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#initialisation of variables\n",

+      "f=3000.0\n",

+      "\n",

+      "#Calculations\n",

+      "t_qmin=30.0*10**-6\n",

+      "f_r=f/(1-2*t_qmin*f)\n",

+      "R=0.06\n",

+      "L=20.0*10**-6\n",

+      "C=1/(L*((2*math.pi*f_r)**2+(R/(2*L))**2))    \n",

+      "\n",

+      "#Results\n",

+      "print(\"required capacitor size=%.4f F\" %(C*10**6))\n",

+      " #Answers have small variations from that in the book due to difference in the rounding off of digits."

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "required capacitor size=94.2215 F\n"

+       ]

+      }

+     ],

+     "prompt_number": 6

+    }

+   ],

+   "metadata": {}

+  }

+ ]

+}
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