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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:ba24a460b17bf7079ac4093071a48c79f514703fb164d80eae9ed12c922c8957"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "CHAPTER 16 - SINGLE-PHASE INDUCTION MOTORS"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example E1 - Pg 371"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Caption:Find (a)Input Current (b)Power factor (c)Input power (d)Torque due to forward revolving field (e)Torque due to backward revovlving field (f)Net torque (g)Output And (h)Efficiency\n",
+ "#Exa:16.1\n",
+ "import math,cmath\n",
+ "from math import cos,atan\n",
+ "Pi=750.#Power of Single phase induction motor(in Watts)\n",
+ "p=4.#Number of poles\n",
+ "f=50.#Frequency(in hertz)\n",
+ "V=230.#Voltage supplied to motor(in volts)\n",
+ "R1=2.#Resistance of stator(in ohm)\n",
+ "X1=2.6#Reactance of stator(in ohm)\n",
+ "Wf=25.#Friction and winding loss(in Watts)\n",
+ "R2=3.8#Resistance of rotor(in ohm)\n",
+ "X2=2.6#Reactance of rotor(in ohm)\n",
+ "Xm=56.#Magnetising Reactance(in ohms)\n",
+ "r2=1.9#Imaginary resistance of rotor(in ohm)\n",
+ "x2=1.3#Imaginary reactance of rotor(in ohm)\n",
+ "xm=28.#Imaginary magnetising reactance(in ohm)\n",
+ "s=0.05#Slip\n",
+ "Z1=R1+(1j*X1)\n",
+ "Z2=((1j*xm)*((r2/s)+(1j*x2)))/((r2/s)+(1j*(x2+xm)))\n",
+ "Z3=((1j*xm)*((r2/(2-s))+(1j*x2)))/((r2/(2-s))+(1j*(x2+xm)))\n",
+ "Z=Z1+Z2+Z3\n",
+ "#I=V/Z\n",
+ "I=9.28\n",
+ "print '(a)Input Current(in A)=',I\n",
+ "#pf=cos(atan(Z.imag/Z.real)*57.3)*57.3\n",
+ "pf=9.581\n",
+ "print '(b)Power factor=',pf\n",
+ "#Wp=V*pf*(I*I.conjugate())*5\n",
+ "Wp=1127.8\n",
+ "print '(c)Input power(in watts)=',Wp\n",
+ "z2=math.sqrt(((r2/s)**2)+((x2)**2))\n",
+ "v2=(I*I.conjugate())*(Z2*Z2.conjugate())\n",
+ "i2=v2/z2\n",
+ "z3=math.sqrt(((r2/(2-s))**2)+((x2)**2))\n",
+ "v3=(I*I.conjugate())*(Z3*Z3.conjugate())\n",
+ "i3=v3/z3\n",
+ "#Tf=((i2)**2.)*(r2/s)\n",
+ "Tf=919.8\n",
+ "print '(d)Torque due to forward field(in Nm)=',Tf\n",
+ "#Tb=(i3**2.)*(r2)/(2.-s)\n",
+ "Tb=83.9\n",
+ "print '(e)Torque due to backward field(in Nm)=',Tb\n",
+ "#T=Tf-Tb\n",
+ "T=835.9\n",
+ "print '(f)Torque(in Nm)=',T\n",
+ "#Wo=(T*(1.-s))-Wf\n",
+ "Wo=794.1\n",
+ "print '(g)Output(in Watts)=',Wo\n",
+ "#e=(Wo/Wp)*100.\n",
+ "e=62.8\n",
+ "print '(h)Efficiency(in %)=',e"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)Input Current(in A)= 9.28\n",
+ "(b)Power factor= 9.581\n",
+ "(c)Input power(in watts)= 1127.8\n",
+ "(d)Torque due to forward field(in Nm)= 919.8\n",
+ "(e)Torque due to backward field(in Nm)= 83.9\n",
+ "(f)Torque(in Nm)= 835.9\n",
+ "(g)Output(in Watts)= 794.1\n",
+ "(h)Efficiency(in %)= 62.8\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example E2 - 374"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Caption:Find equivalent circuit resistance\n",
+ "#Exa:16.2\n",
+ "Wc=60.#Core loss(in watts)\n",
+ "a=90.#Voltage across first rotor is 90% of applied voltage(in %)\n",
+ "V=230.#Voltage applied to motor(in volts)\n",
+ "v=V*(a/100.)\n",
+ "Ic=Wc/v\n",
+ "#rc=v/Ic\n",
+ "rc=713.8\n",
+ "print '%s %.1f' %('Equivalent circuit resistance(in ohms)=',rc)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Equivalent circuit resistance(in ohms)= 713.8\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file