{ "metadata": { "name": "", "signature": "sha256:34f21e34d56021d11e412854716405b885521e02b7e263afa0b62d127f14da0d" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 19: Circuit Breakers" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 19.1, Page Number: 483" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "\n", "#Variable declaration:\n", "I = 1500 #rated current of circuit breaker(A)\n", "MVA = 1000 #MVA rating of CB\n", "V = 33 #voltage rating of circuit breaker(kV)\n", "\n", "\n", "\n", "#Calculation:\n", "Is = MVA*10**6/(3**0.5*33*1000) #Rated symmetrical breaking current(A,rms)\n", "Im = 2.55*Is #Rated making current(A,peak)\n", "\n", "\n", "#Result:\n", "print \"(i) Rated normal current is\",I,\"A\"\n", "print \"(ii) Breaking capacity is\",MVA,\"MVA\"\n", "print \"(iii) Rated symmetrical breaking current is\",round(Is),\"A (peak)\"\n", "print \"(iv) Rated making current is\",round(Im),\"A (peak)\"\n", "print \"(v) Short-time rating is\",round(Is),\"for 3 seconds\"\n", "print \"(vi) Rated service voltage is\",V,\"kV (r.m.s)\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) Rated normal current is 1500 A\n", "(ii) Breaking capacity is 1000 MVA\n", "(iii) Rated symmetrical breaking current is 17495.0 A (peak)\n", "(iv) Rated making current is 44613.0 A (peak)\n", "(v) Short-time rating is 17495.0 for 3 seconds\n", "(vi) Rated service voltage is 33 kV (r.m.s)\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 19.2, Page Number: 484" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "import math\n", "\n", "#Variable declaration:\n", "f = 50 #supply frequency(Hz)\n", "V = 11 #voltage rating of generator(V)\n", "C = 0.01 #distributed capacitance upto ckt breaker b/w phase and neutral(uF)\n", "XL = 5 #reactance of neatral to earth(ohm)\n", "\n", "\n", "#Calculation:\n", "L = round(XL/(2*math.pi*f),4) #Inductance per phase(H)\n", "Emax = round(2**0.5*V/3**0.5,2) #Maximum value of recovery voltage (phase to neutral)(V\n", "E = 2*Emax #Peak re-striking voltage(kV)\n", "fn = 1/(2*3.14*(L*C*10**-6)**0.5) #frequency of oscillations(Hz)\n", "\n", "#Since peak re-striking voltage occurs at a time t given by\n", "t = 1/(2*fn) #s\n", "r = E/t #kV/sec\n", "\n", "\n", "\n", "#Result:\n", "print \"(i) Peak re-striking voltage is\",round(E,2),\"kV\"\n", "print \"(ii) Frequency of oscillations is\",round(fn),\"Hz\"\n", "print \"(iii)The average rate of rise of re-striking voltage\"\n", "print \" upto the first peak is\",math.floor(r/1000),\"*10**3 kV/sec\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) Peak re-striking voltage is 17.96 kV\n", "(ii) Frequency of oscillations is 12628.0 Hz\n", "(iii)The average rate of rise of re-striking voltage\n", " upto the first peak is 453.0 *10**3 kV/sec\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 19.3, Page Number: 484" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Variable delaration:\n", "t = 50*10**-6 #time to reach the peak re-striking voltage(s)\n", "Vp = 100 #the peak re-striking voltage(kV)\n", "\n", "\n", "#Calculation:\n", "R = Vp/t #Average RRRV(kV/sec)\n", "fn = 1/(2*t) #Natural frequency of oscillations(Hz)\n", "\n", "\n", "#Result:\n", "print \"Average RRRV is\",R/10**6,\"* 10**6 kV/sec\"\n", "print \"Natural frequency of oscillations is\",fn,\"Hz\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Average RRRV is 2.0 * 10**6 kV/sec\n", "Natural frequency of oscillations is 10000.0 Hz\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 19.4, Page Number: 485" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "\n", "#Variable declaration:\n", "Im = 11 #magnetising current of transformer(A)\n", "Ic = 7 #chopped instantaneous value of current(A)\n", "L = 35.2 #inductance (H)\n", "C = 0.0023 #capacitance(uF)\n", "\n", "\n", "#Result:\n", "e = Ic*(L/(C*10**-6))**0.5 #Voltage across breaker contacts at chopping(V)\n", "\n", "\n", "#Result:\n", "print \"Voltage across breaker contacts at chopping is\",round(e/1000),\"kV\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Voltage across breaker contacts at chopping is 866.0 kV\n" ] } ], "prompt_number": 10 } ], "metadata": {} } ] }