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authorkinitrupti2017-05-12 18:53:46 +0530
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-{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Chapter 3 Fundamentals of Fault Clearing and Switching Phenomena"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example 3_1 pgno:24"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 1,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "the transient current =A 1.56\n"
- ]
- }
- ],
- "source": [
- "from math import pi,exp\n",
- "from math import atan,sin\n",
- "from math import sqrt\n",
- "R=10; \n",
- "L=0.1; \n",
- "f=50; \n",
- "w=2*pi*f; \n",
- "k=sqrt((R**2)+((w*L)**2));\n",
- "angle=atan(w*L/R);\n",
- "E=400 \n",
- "A=E*sin(angle)/k;\n",
- "i=A*exp((-R)*.02/L);\n",
- "i=round(i*100)/100;\n",
- "print\"the transient current =A\",i\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example 3_2 pgno:26"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "current in amperes for part1=A\n",
- "4.1\n",
- "current in part 2& part 3= 0\n",
- "\n",
- "the DC component vanishes if e=V 141.4\n",
- "\n",
- "current at .5 cycles for t1=sec \n",
- "current in the problem = A 0.01 1.50368424845\n",
- "\n",
- "current at 1.5 cycles for t2=sec \n",
- "current in the problem = A 0.03 0.203501533662\n",
- "\n",
- "current at 5.5 cycles for t3=sec \n",
- "current in the problem = A 0.11 6.82671592646e-05\n",
- "the difference in result is due to erroneous value in textbook.\n"
- ]
- }
- ],
- "source": [
- "from math import sqrt,sin,atan,pi,exp\n",
- "R=10; \n",
- "L=0.1; \n",
- "f=50; \n",
- "w=2*pi*f; \n",
- "k=sqrt((R**2)+((w*L)**2));\n",
- "angle=atan(w*L/R); \n",
- "E=100; \n",
- "Em=sqrt(2)*E; \n",
- "A=Em*sin(angle)/k;\n",
- "i1=A; \n",
- "Em=round(Em*10)/10;\n",
- "i1=round(i1*10)/10;\n",
- "print\"current in amperes for part1=A\\n\",i1\n",
- "print\"current in part 2& part 3= 0\\n\"\n",
- "print\"the DC component vanishes if e=V\",Em#the error is due to the erroneous values in the textbook\n",
- "\n",
- "t1=0.5*.02; \n",
- "i2=A*exp((-R)*t1/L);\n",
- "print\"\\ncurrent at .5 cycles for t1=sec \\ncurrent in the problem = A\",t1,i2\n",
- "t2=1.5*.02;\n",
- "i3=A*exp((-R)*t2/L);\n",
- "print\"\\ncurrent at 1.5 cycles for t2=sec \\ncurrent in the problem = A\",t2,i3\n",
- "t3=5.5*.02;\n",
- "i4=A*exp((-R)*t3/L);\n",
- "print\"\\ncurrent at 5.5 cycles for t3=sec \\ncurrent in the problem = A\",t3,i4\n",
- "\n",
- "\n",
- "print\"the difference in result is due to erroneous value in textbook.\"\n",
- " "
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example 3_3 pgno:28"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "frequency of oscillations=c/s 72400.0\n",
- "\n",
- "time of maximum restriking voltage=microsec 3.46\n",
- "\n",
- "maximum restriking voltage=V/microsecs 2430.0\n"
- ]
- }
- ],
- "source": [
- "from math import sqrt,e,pi\n",
- "C=.003e-6 \n",
- "L=1.6e-3 \n",
- "y=sqrt(L*C);\n",
- "y=round(y*1e7)/1e7;\n",
- "f=(2*3.14*y)**-1; \n",
- "f=round(f/100)*100;\n",
- "i=7500;\n",
- "E=i*2*3.15*L*50;\n",
- "Em=1.414*E;\n",
- "Em=round(Em/10)*10\n",
- "t=y*pi/2;\n",
- "t=t*1e6;\n",
- "t=round(t*100)/100;\n",
- "e=Em/y;\n",
- "e=round((e)/1e6)*1e6;\n",
- "e=round(e/1e7)*1e7\n",
- "print\"frequency of oscillations=c/s\",f\n",
- "print\"\\ntime of maximum restriking voltage=microsec\",t\n",
- "print\"\\nmaximum restriking voltage=V/microsecs\",e/1e6\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example 3_4 pgno:30"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "peak restriking voltage=kV 18.0\n",
- "\n",
- "frequency of oscillations=c/s 12637.7514913\n",
- "\n",
- "average rate of restriking voltage=kV/microsecs 0.455\n",
- "\n",
- "max restriking voltage=V/microsecs 714.0\n"
- ]
- }
- ],
- "source": [
- "from math import pi,sqrt\n",
- "R=5 \n",
- "f=50\n",
- "L=R/(2*pi*f);\n",
- "V=11e3;\n",
- "Vph=11/sqrt(3);\n",
- "C=0.01e-6;\n",
- "y=sqrt(L*C);\n",
- "Em=sqrt(2)*Vph;\n",
- "ep=2*Em;\n",
- "ep=round(ep*10)/10;\n",
- "y=round(y*1e7)/1e7;\n",
- "t=y*pi;\n",
- "t=round(t*1e7)/1e7\n",
- "ea=ep/t;\n",
- "ea=round(ea/1e3)*1e3\n",
- "fn=(2*3.14*y)**-1;\n",
- "Em=round(Em)\n",
- "Emax=Em/y;\n",
- "Emax=round(Emax/1000)*1e3;\n",
- "print\"peak restriking voltage=kV\",ep\n",
- "print\"\\nfrequency of oscillations=c/s\",fn\n",
- "print\"\\naverage rate of restriking voltage=kV/microsecs\",ea/1e6\n",
- "print\"\\nmax restriking voltage=V/microsecs\",Emax/1e3\n",
- "\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example 3_5 pgno:31"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "average restriking voltage=V/microsecs 1220.0\n"
- ]
- }
- ],
- "source": [
- "from math import pi,sqrt\n",
- "E=19.1*1e3;\n",
- "L=10*1e-3;\n",
- "C=.02*1e-6;\n",
- "Em=sqrt(2)*E;\n",
- "y=sqrt(L*C);\n",
- "t=pi*y*1e6;\n",
- "emax=2*Em;\n",
- "eavg=emax/t;\n",
- "eavg=round(eavg/10)*10\n",
- "print\"average restriking voltage=V/microsecs\",eavg\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example 3_6 pgno:33"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "average restriking voltage=kV/microsecs 4.8\n"
- ]
- }
- ],
- "source": [
- "from math import e,sqrt,acos,sin\n",
- "V=78e3;\n",
- "Vph=V/sqrt(3);\n",
- "Em=2*Vph;\n",
- "pf=0.4;\n",
- "angle=acos(pf);\n",
- "k1=sin(angle); \n",
- "k1=round(k1*100)/100;\n",
- "k2=.951;\n",
- "k3=1;\n",
- "k=k1*k2*k3;\n",
- "k=round(k*1000)/1e3;\n",
- "E=k*Em;\n",
- "f=15000.; \n",
- "t=1/(2*f);\n",
- "t=round(t*1e6);\n",
- "eavg=2*E/t;\n",
- "eavg=round(eavg/100)*100;\n",
- "print\"average restriking voltage=kV/microsecs\",eavg/1e3\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example 3_7 pgno:35"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "average voltage in volts=V/microsecs 1430.0\n",
- "frequency of oscillation =c/s 7143.0\n"
- ]
- }
- ],
- "source": [
- "Em=100e3\n",
- "t=70e-6\n",
- "Ea=Em/t/1e6\n",
- "f=1/(2*t);\n",
- "Ea=round(Ea/10)*10;\n",
- "f=round(f);\n",
- "print\"average voltage in volts=V/microsecs\",Ea\n",
- "print\"frequency of oscillation =c/s\",f\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example 3_8 pgno:37"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "damping resistance in ohms=kohms 12.25\n"
- ]
- }
- ],
- "source": [
- "from math import sqrt\n",
- "L=6; \n",
- "C=0.01e-6;\n",
- "i=10;\n",
- "v=i*sqrt(L/C);\n",
- "R=.5*v/i;\n",
- "R=round(R/10)*10;\n",
- "print\"damping resistance in ohms=kohms\",R/1e3\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": []
- },
- {
- "cell_type": "code",
- "execution_count": null,
- "metadata": {
- "collapsed": true
- },
- "outputs": [],
- "source": []
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "Python 2",
- "language": "python",
- "name": "python2"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 2
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython2",
- "version": "2.7.9"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 0
-}