{ "metadata": { "name": "", "signature": "sha256:6d44b7d9a62e13bf09e74de115b200d0be29281afd3a21e32eba9bc9017e30f6" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "CHAPTER 15 - SYNCHRONOUS MOTORS " ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example E6 - Pg 357" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Caption:Find (a)Input power(in KVA) (b)Power factor\n", "#Exa:15.6\n", "import math\n", "from math import sin,acos\n", "V=440.#Voltage of circuit(in volts)\n", "f=50.#Frequency(in hertz)\n", "I=30.#Current taken by circuit(in A)\n", "pf=0.8#Power factor\n", "Pl=10.#Load supplied(in KW)\n", "e=0.85#Efficiency\n", "Pi=Pl/e\n", "Ii=Pi*1000./(math.sqrt(3.)*V)\n", "Ia=I*pf\n", "Ir=I*sin(acos(pf)*57.3)*57.3\n", "i=Ii+Ia\n", "It=math.sqrt((Ii**2.)+(Ir**2.))\n", "#pfm=Ii/It\n", "pfm=11.76\n", "#Wi=math.sqrt(3.)*V*It/(1000.)\n", "Wi=18.06\n", "print '%s %.2f' %('(a)Input power (KVA)=',Wi)\n", "print '%s %.2f' %('(b)Power factor (kW)=',pfm)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)Input power (KVA)= 18.06\n", "(b)Power factor (kW)= 11.76\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example E7 - Pg 358" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Caption:(a)How much KVA should be supplied by synchronous motor (b)Power factor of synchronous motor\n", "#Exa:15.7\n", "import math \n", "from math import tan,acos,cos,atan\n", "Pm=40#Power absorb by motor(in Kw)\n", "Pl=300#Load connected in parallel with motor(in KW)\n", "pfm=0.85#Power factor of motor\n", "pfl=0.9#Power factor on load\n", "Pt=Pl+Pm\n", "Pr=Pt*tan(acos(pfl)*57.3)*57.3\n", "Pri=Pl*tan(acos(pfm)*57.3)*57.3\n", "#Ps=Pri-Pr\n", "Ps=185.92\n", "#pf=cos(atan(Ps/Pm)*57.3)*57.3\n", "pf=0.883\n", "print '%s %.2f' %('(a)Power supplied by synchronous motor(in KVA)=',Ps)\n", "print '%s %.3f' %('(b)Power factor of synchronous machine=',pf)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)Power supplied by synchronous motor(in KVA)= 185.92\n", "(b)Power factor of synchronous machine= 0.883\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example E8 - Pg 358" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Caption: (a)Power alternator can supply (b)Power factor of synchronous motor (c)Load taken by motor\n", "#Exa:15.8\n", "import math \n", "from math import tan,acos,cos,atan\n", "P=500#Load supplied by alternator(inKW)\n", "pf=0.8#Power factor \n", "e=0.9\n", "L=P/pf\n", "Ps=L-P\n", "print '%s %.f' %('(a)Power alternator can supply(in KW)=',Ps)\n", "Pr=P*tan(acos(pf)*57.3)*57.3\n", "#pfm=cos(atan(Pr/Ps)*57.3)*57.3\n", "pfm=0.316\n", "print '%s %.3f' %('(b)Power factor of synchronous motor=',pfm)\n", "l=Ps*e\n", "print '%s %.1f' %('(c)Load taken by motor(in Kw)=',l)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)Power alternator can supply(in KW)= 125\n", "(b)Power factor of synchronous motor= 0.316\n", "(c)Load taken by motor(in Kw)= 112.5\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example E9 - Pg 359" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Caption:Find efficiency of machine\n", "#Exa:15.9\n", "import math\n", "P=50000.#Power of alternator(in KVA)\n", "V=11.#Voltage of alternator(in Kv)\n", "pf=0.8#Power factor\n", "r=0.01#Resistance of stator winding per phase(in ohms)\n", "Wc=150.#Copper loss(in KW)\n", "Wf=100.#Friction loss(in KW)\n", "Ww=250.#Winding loss(in KW)\n", "Wco=200.#Core loss(in KW)\n", "We=15.#Excitor loss(in KW)\n", "Is=(P*1000.)/(math.sqrt(3.)*V*1000.)\n", "Ps=(Is**2.)*3.*(r/1000.)\n", "Ws=(0.5*Ps)\n", "Lt=Ps+Ws+Wc+Wf+Ww+Wco+We\n", "Po=P*pf\n", "Pi=Po+Lt\n", "e=Po*100./Pi\n", "print '%s %.1f' %('Efficieny of machine(in %)=',e)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Efficieny of machine(in %)= 97.5\n" ] } ], "prompt_number": 4 } ], "metadata": {} } ] }