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‎A Textbook of Electrical Technology AC and DC Machines/chapter25.ipynb

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

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