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+{

+ "metadata": {

+  "name": ""

+ },

+ "nbformat": 3,

+ "nbformat_minor": 0,

+ "worksheets": [

+  {

+   "cells": [

+    {

+     "cell_type": "heading",

+     "level": 1,

+     "metadata": {},

+     "source": [

+      "Chapter 02 : Line Constant Calculations"

+     ]

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 2.2, Page No 29"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#initialisation of variables\n",

+      "GMD=0.7788*0.8/(2*100)\n",

+      "Mgmd=((1.6*3.2*1.6)**(1.0/3))\n",

+      "\n",

+      "#Calculations\n",

+      "Z=2*(10**-4)*1000*math.log(2.015/.003115)\n",

+      "\n",

+      "#Results\n",

+      "print(\"The self GMD of the conductor =%.6f metres\" %GMD)\n",

+      "print(\"The mutual GMD of the conductor =%.3f metres \" %Mgmd)\n",

+      "print(\"Inductance =%.3f mH/km\\n\" %Z)\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "The self GMD of the conductor =0.003115 metres\n",

+        "The mutual GMD of the conductor =2.016 metres \n",

+        "Inductance =1.294 mH/km\n",

+        "\n"

+       ]

+      }

+     ],

+     "prompt_number": 1

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 2.3, Page No 29"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#initialisation of variables\n",

+      "r=1\n",

+      "D11=r**1\n",

+      "D12=2*r\n",

+      "D14=4*r\n",

+      "\n",

+      "#Calculations\n",

+      "D13=math.sqrt(16-4)*r\n",

+      "Ds1=((1*2*2*math.sqrt(3)*4*2*math.sqrt(3)*2*2)**(1.0/7))*r\n",

+      "Ds7=((2*1*2*2**2*2*2)**(1.0/7))*r       #we get this after Taking r outside the 1/7th root\n",

+      "Ds=((((1*2*2*math.sqrt(3)*4*2*math.sqrt(3)*2*2)**(1.0/7))**6)*((2*1*2*2**2*2*2)**(1.0/7)))**(1.0/7)*r\n",

+      "Dseq=((.7788)**(1.0/7))*Ds\n",

+      "\n",

+      "#Results\n",

+      "print(\"Dseq.= %.2fr\" %Dseq)"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "Dseq.= 2.18r\n"

+       ]

+      }

+     ],

+     "prompt_number": 2

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 2.4, Page No 30"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#initialisation of variables\n",

+      "GMDa=0.001947\t\t\t\t# GMD of conductor in group A\n",

+      "\n",

+      "#Calculations\n",

+      "DSA=((.001947*6*12*.001947*6*6*0.001947*6*12)**(1.0/9))\n",

+      "DSB=math.sqrt(5*(10**-3)*.7788*6)\n",

+      "Dae=math.sqrt((9**2)+6**2)\n",

+      "Dcd=math.sqrt((12**2)+9**2)\n",

+      "DMA=((9*10.81*10.81*9*15*10.81)**(1.0/6))\n",

+      "LA=2*(10**-7)*(10**6)*math.log(DMA/DSA)\n",

+      "LB=2*(10**-7)*(10**6)*math.log(DMA/DSB)\n",

+      "Tot=LA+LB\n",

+      "\n",

+      "#Results\n",

+      "print(\"inductance of line A,LA=%.3f mH/km\" %LA)\t\t#Answers don't match due to difference in rounding off of digits\n",

+      "print(\"inductance of line B,LB=%.1f mH/km\" %LB)\t\t#Answers don't match due to difference in rounding off of digits\n",

+      "print(\"total inductance of line =%.2f mH/km\" %Tot)\t#Answers don't match due to difference in rounding off of digits\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "inductance of line A,LA=0.621 mH/km\n",

+        "inductance of line B,LB=0.9 mH/km\n",

+        "total inductance of line =1.47 mH/km\n"

+       ]

+      }

+     ],

+     "prompt_number": 3

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 2.5 Page No 32"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#initialisation of variables\n",

+      "GMDc=1.266*0.7788*(10**-2)\t\t# self GMD of each conductor\n",

+      "Dbc=math.sqrt((4**2)+(.75**2))\n",

+      "Dab=Dbc\n",

+      "\n",

+      "#Calculations\n",

+      "Dab=math.sqrt((4**2)+(8.25**2))\n",

+      "Daa=math.sqrt((8**2)+(7.5**2))\n",

+      "Dm1=(Dbc*8*7.5*9.1685)**(1.0/4)\n",

+      "Dm2=(Dbc*Dbc*9.1685*9.1685)**(1.0/4)\n",

+      "Dm3=Dm1\n",

+      "Dm=((Dm1*Dm2*Dm3)**(1.0/3))\n",

+      "Ds1=math.sqrt(GMDc*Daa)\t\t# self GMD of each phase\n",

+      "Ds3=Ds1\n",

+      "Ds2=math.sqrt(GMDc*9)\n",

+      "Ds=((Ds1*Ds2*Ds3)**(1.0/3))\n",

+      "Z=2*(10**-4)*(1000)*math.log(Dm/Ds)\n",

+      "\n",

+      "#Results\n",

+      "print(\"inductance=%.3f mH/km/phase\\n\" %Z)\n"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "inductance=0.607 mH/km/phase\n",

+        "\n"

+       ]

+      }

+     ],

+     "prompt_number": 4

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 2.6, Page No 33"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#initialisation of variables\n",

+      "GMDs=.0069\t\t#self GMD of the conductor\n",

+      "Dab=math.sqrt((3**2)+.5**2)\n",

+      "Dbc=Dab\n",

+      "Dac=6.0\n",

+      "\n",

+      "#Calculations\n",

+      "Dab=math.sqrt((3**2)+6**2)\n",

+      "Daa=math.sqrt((6**2)+5.5**2)\n",

+      "Dm1=((3.04*6*5.5*6.708)**.25)\n",

+      "Dm2=((3.04*3.04*6.708*6.708)**.25)\n",

+      "Dm=4.89\n",

+      "Ds1=math.sqrt(GMDs*Daa)\n",

+      "Ds2=0.2217\n",

+      "Ds=.228\n",

+      "Z=2*(10**-7)*(10**6)*math.log(Dm/Ds)\n",

+      "\n",

+      "#Results\n",

+      "print(\"inductance =%.3f mH/km\" %Z)"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "inductance =0.613 mH/km\n"

+       ]

+      }

+     ],

+     "prompt_number": 5

+    },

+    {

+     "cell_type": "heading",

+     "level": 2,

+     "metadata": {},

+     "source": [

+      "Example 2.7, Page No 34"

+     ]

+    },

+    {

+     "cell_type": "code",

+     "collapsed": false,

+     "input": [

+      "import math\n",

+      "#initialisation of variables\n",

+      "Ds=math.sqrt(0.025*.4*.7788)\n",

+      "\n",

+      "#Calculations\n",

+      "Dm=((6.5*13.0*6.5)**(1.0/3))\n",

+      "Z=2*(10**-4)*1000*math.log(Dm/Ds)\n",

+      "\n",

+      "#Results\n",

+      "print(\"inductance =%.3f mH/km/phase\" %Z)"

+     ],

+     "language": "python",

+     "metadata": {},

+     "outputs": [

+      {

+       "output_type": "stream",

+       "stream": "stdout",

+       "text": [

+        "inductance =0.906 mH/km/phase\n"

+       ]

+      }

+     ],

+     "prompt_number": 6

+    }

+   ],

+   "metadata": {}

+  }

+ ]

+}
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