{ "metadata": { "name": "", "signature": "sha256:6b51ae63262d051d8c33b477f21b4f8b38c9632d3bf6e663f7b45ca75bc3f387" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 8: DC Motors" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 8.1: page 137:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "import math\n", "\n", "#given data :\n", "s=22;# shaft of the motor in hp\n", "Tsh=210;# torue in hp\n", "\n", "#calculations:\n", "N=(s*60*746)/(2*math.pi*Tsh);\n", "\n", "#Results\n", "print \"speed,N(rpm) = \",N " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "speed,N(rpm) = 746.300264578\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 8.2: Page 143:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "from __future__ import division\n", "import math\n", "\n", "#given data :\n", "N=955;# in r.p.m\n", "V=230;# voltage in volts\n", "I=72;# current in A\n", "s=968;# stray losses\n", "Rsh=115;# shunt field resistance in ohm\n", "Ra=0.5# armature resistance in ohm\n", "\n", "#calculations:\n", "W=V*I;\n", "Ish=V/Rsh# shunt field resistance\n", "Ia=I-Ish;\n", "Eb=V-(Ia*Ra)# back emf in volts\n", "Dpd=Eb*Ia# driving power developed\n", "Mpo=Dpd-s;\n", "bhp=Mpo/746;\n", "c_losses=W-Dpd;\n", "Ta=(9.55*Eb*Ia)/N;\n", "Tsh=(bhp*60*746)/(2*math.pi*N);\n", "Tl=Ta-Tsh;\n", "eta=(Mpo/W)*100;\n", "\n", "#Results\n", "print \"(a)bhp = \",bhp\n", "print \"(b)copper losses(W) = \",c_losses\n", "print \"(c)torque armature,Ta(N-m) = \",Ta\n", "print \"(d)shaft torque,Tsh(N-m) = \",round(Tsh,2)\n", "print \"(e)lost torque,Tl(N-m) = \",round(Tl,2)\n", "print \"(f)commercial efficioency,eta(%) = \",round(eta,2)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)bhp = 17.0\n", "(b)copper losses(W) = 2910.0\n", "(c)torque armature,Ta(N-m) = 136.5\n", "(d)shaft torque,Tsh(N-m) = 126.81\n", "(e)lost torque,Tl(N-m) = 9.69\n", "(f)commercial efficioency,eta(%) = 76.58\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 8.3: page 144:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "from __future__ import division\n", "import math\n", "\n", "#given data:\n", "V=230# in volts\n", "I=5 # in amperes\n", "rpm=914#turns\n", "ra=0.5#resistance of armature in ihms\n", "rsh=115#shunt field in ohms\n", "Il=30# in amperes\n", "ar=10# in percent\n", "\n", "#calculations:\n", "Ish=V/rsh# in amperes\n", "anl=I-Ish#armature current in amperes at no load\n", "al=Il-Ish#armature currentin amperes at load\n", "Eb1=(V-anl*ra)#back emf at no load\n", "Eb2=(V-al*ra)#back emf at load\n", "ph1=100#\n", "ph2=90#\n", "Ns=(rpm*Eb2*ph1)/(Eb1*ph2)#speed when loaded in rpm\n", "\n", "#Results\n", "print \"speed when loaded in rpm is \",Ns" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "speed when loaded in rpm is 960.0\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 8.4: page 144:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "from __future__ import division\n", "import math\n", "\n", "#given data:\n", "Il=83# WHEN LOADED IN AMPERES\n", "V=110# in volts\n", "I=5 # in amperes without load\n", "ra=0.5#armature resistance in ohms\n", "rsh=110#shunt field in ohms\n", "\n", "#calculations:\n", "Ish=V/rsh# in ampere\n", "anl=I-Ish#armature current in amperes at no load\n", "al=Il-Ish#armature currentin amperes at load\n", "Eb1=(V-anl*ra)#back emf at no load\n", "Eb2=(V-al*ra)#back emf at load\n", "Dp=Eb1*anl#driving power at no load in watt\n", "Dpl=Eb2*al#driving power at load in watt\n", "mo=Dpl-Dp#out of motor in watt\n", "bhp=mo/746#horse power\n", "mi=V*Il#input power in watt\n", "n=(mo/mi)*100#efficiency in percentage\n", "\n", "#Results\n", "print \"(a)stray losses in watt is\",Dp\n", "print \"(b)horse power in ampere is\",round(bhp,1)\n", "print \"(c)efficiency of motor when it is work on full ,load in percentage is\",round(n,2)\n", "#answer(c) is wrong in the textbook" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)stray losses in watt is 432.0\n", "(b)horse power in ampere is 7.0\n", "(c)efficiency of motor when it is work on full ,load in percentage is 57.24\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 8.5: page 146" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "from __future__ import division\n", "import math\n", "\n", "#given data:\n", "V=230# in volts\n", "I=60# in amperes\n", "rpm=955#turns\n", "ra=0.2#resistance of armature in ihms\n", "rsh=0.15#shunt field in ohms\n", "sl=604#stray losses in watts\n", "\n", "#calculations:\n", "Rm=ra+rsh# in ohms\n", "Eb=(V-I*Rm)# back emf in volts\n", "Dp=Eb*I#driving power in watts\n", "mi=V*I#input power in watts\n", "Cl=mi-Dp# copper losses in watts\n", "mo=Dp-sl#output of motor\n", "bhp=mo/746# horse power in bhp\n", "Ta=(9.55*Eb*I)/rpm#total torque in N-m\n", "Ts=(bhp*60*746)/(2*math.pi*rpm)#shaft torque in N-m\n", "Tl=Ta-Ts#lost torque in N-m\n", "nc=(mo/mi)*100#commercial efficiency in percentge\n", "\n", "#Results\n", "print \"(a)back emf in volts is\",Eb\n", "print \"(b)copper losses in watts is \",Cl\n", "print \"(c)horse power is\", bhp\n", "print \"(d)total torque in N-m is\",Ta\n", "print \"(e)shaft torque in N-m is\",round(Ts,1)\n", "print \"(f)lost torque in N-m is\",round(Tl,1)\n", "print \"(g)commercial efficiency in percentge is\",round(nc,2)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)back emf in volts is 209.0\n", "(b)copper losses in watts is 1260.0\n", "(c)horse power is 16.0\n", "(d)total torque in N-m is 125.4\n", "(e)shaft torque in N-m is 119.4\n", "(f)lost torque in N-m is 6.0\n", "(g)commercial efficiency in percentge is 86.49\n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 8.6: page 146:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "from __future__ import division\n", "import math\n", "\n", "#given data:\n", "V=220# in volts\n", "I=60# in amperes\n", "rpm=728#turns\n", "Ts=150#shaft torque in N-m\n", "nc=80#commercial efficiency in percentge\n", "\n", "#calculations:\n", "I=((Ts*2*math.pi*rpm*746)/(60*746*(nc/100)*V))# CURRENT TAKEN IN AMPERES\n", "\n", "#Results\n", "print \"current taken in amperes is\",round(I,1) " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "current taken in amperes is 65.0\n" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 8.7: page 147:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "\n", "from __future__ import division\n", "import math\n", "\n", "#given data:\n", "V=220# in volts\n", "rpm=2100#turns\n", "ra=0.5#resistance of armature in ihms\n", "rsh=220#shunt field in ohms\n", "Il=21# in amperes\n", "R1=220# in ohms\n", "ph1=50#\n", "ph2=100#\n", "\n", "#calculations:\n", "Ish=V/rsh# in amperes\n", "Ifs=V/(rsh+R1)#shunt field current in second case in ampere\n", "n2=(rpm*ph2)/ph1#speed in rpm\n", "\n", "#Results\n", "print \"speed in rpm is\",n2" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "speed in rpm is 4200.0\n" ] } ], "prompt_number": 7 } ], "metadata": {} } ] }