{ "metadata": { "name": "", "signature": "sha256:9895a0f3fc78aa13cc793dfc60b4d616a3af11e4983465d122ac29be7197893e" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 25: Elements of Electro-Mechanical Energy Conversion" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example Number 25.1, Page Number:876" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "\n", "#variable declaration\n", "sod=15#stator-core outer diameter\n", "sid=10.05#stator-core inner diameter\n", "rod=10.00#rotor-core outer diameter\n", "rid=5#rotor-core inner diameter\n", "a=8#axial lenght of the machine\n", "b=1.20\n", "ur=1000\n", "#calculations\n", "vs=(3.14/4)*((sod*sod)-(sid*sid))*a#volume of stator-core\n", "vr=(3.14/4)*((rod*rod)-(rid*rid))*a#volume of rotor-core\n", "va=(3.14/4)*((sid*sid)-(rod*rod))*a#volume of air-gap in the machine\n", "ed=(.5*b*b)/(4*3.14*math.pow(10,-7))\n", "e=ed*va*math.pow(10,-6)\n", "edm=(.5*b*b)/(4*3.14*math.pow(10,-7)*ur)\n", "es=edm*vs*math.pow(10,-6)\n", "er=edm*vr*math.pow(10,-6)\n", "kr=(vs+vr)/vs\n", "ke=(es+er)/e\n", "ratio=kr/ke\n", "eratio=e/(es+er)\n", "\n", "#result\n", "print \"Energy stored in air gap= \",e,\" Joules\"\n", "print \"Energy stored in stator-core= \",round(es,2),\" Joules\"\n", "print \"Energy stored in rotor core= \",er,\" Joules\"\n", "print \"Ratio of energy dtored in air-gap to that stored in the cores=\",round(eratio)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Energy stored in air gap= 3.609 Joules\n", "Energy stored in stator-core= 0.45 Joules\n", "Energy stored in rotor core= 0.27 Joules\n", "Ratio of energy dtored in air-gap to that stored in the cores= 5.0\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example Number 25.2, Page Number:877" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "\n", "#variable declaration\n", "n=800#turns\n", "area=5*5#cross sectional area\n", "i=1.25#amp\n", "x=0.25#cm\n", "l=0.402\n", "#calculations\n", "p=4*3.14*10**(-7)*area*10**(-4)/(0.5*10**(-2))\n", "l=n**2*p\n", "em=.5*i*i*l\n", "W=-1*0.5*n**2*4*3.14*10**(-7)*area*10**(-4)*i**2/(0.5*10**(-2))**2\n", "\n", "#result\n", "print \"a)i)coil inductance=\",l,\"H\"\n", "print \" ii)field energy stored=\",em,\"J\"\n", "print \"b)mechanical energy output=\",W,\"NW\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "a)i)coil inductance= 0.40192 H\n", " ii)field energy stored= 0.314 J\n", "b)mechanical energy output= -62.8 NW\n" ] } ], "prompt_number": 13 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example Number 25.4, Page Number:882" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#variable declaration\n", "lo=50#mH\n", "xo=0.05#cm\n", "r=0.5#ohm\n", "x=0.075#cm\n", "i2=3#A\n", "x2=0.15#cm\n", "\n", "#calculation\n", "l1=2*lo/(1+(x/xo))\n", "lambda1=l1*i2*10**(-3)\n", "W=0.5*l1*i2**2*10**(-3)\n", "l2=2*lo/(1+(x2/xo))\n", "lambda2=l2*i2*10**(-3)\n", "w2=0.5*i2*(lambda1-lambda2)\n", "\n", "#result\n", "print \"a)magnetic stored energy=\",W,\"J\"\n", "print \"b)change in magnetic stored energy=\",w2,\"J\"" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example Number 25.5, Page Number:883" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#variable declaration\n", "rc=0.5#ohm\n", "v=3#V\n", "i=6#A\n", "l1=40#mH\n", "l2=25#mH\n", "wfld=0.5*l2*i*i*0.001\n", "delE=0.5*i*i*0.001*(l1-l2)\n", "\n", "#result\n", "print \"a)magnetic stored energy=\",wfld,\"J\"\n", "print \"b)change in magnetic store energy=\",delE,\"J\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "a)magnetic stored energy= 0.45 J\n", "b)change in magnetic store energy= 0.27 J\n" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }