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diff --git a/A Textbook of Electrical Technology AC and DC Machines/chapter35.ipynb b/A Textbook of Electrical Technology AC and DC Machines/chapter35.ipynb new file mode 100644 index 00000000..99cfc3c1 --- /dev/null +++ b/A Textbook of Electrical Technology AC and DC Machines/chapter35.ipynb @@ -0,0 +1,1258 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:add10f49c90b647cf79b01d40fd4e1ca71068a8e9a13aad0c70f06cfeaabeda4" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 35: Computations and Circle Diagrams" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.1, Page Number:1316" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "i=10#A\n", + "p=450#W\n", + "v=110#V\n", + "r=0.05#ohm\n", + "loss=135#w\n", + "\n", + "#calculations\n", + "cu_loss=3*i**2*r\n", + "core_loss=p-loss-cu_loss\n", + "volt=v/math.sqrt(3)\n", + "g=core_loss/(3*(v/math.sqrt(3))**2)\n", + "y=i*math.sqrt(3)/v\n", + "b=math.sqrt(y**2-g**2)\n", + "\n", + "#result\n", + "print \"exciting conductance=\",g,\"seimens/phase\"\n", + "print \"susceptance/phase=\",b,\"seimens/phase\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "exciting conductance= 0.0247933884298 seimens/phase\n", + "susceptance/phase= 0.155494939853 seimens/phase\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.2, Page Number:1317" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "v=110.0#V\n", + "i=25.0#A\n", + "v2=30.0#V\n", + "inpt=440.0#W\n", + "loss=40.0#W\n", + "r=0.1#ohm\n", + "ratio=1.6\n", + "\n", + "#calculations\n", + "vs=v2/math.sqrt(3)\n", + "z01=vs/i\n", + "losses=inpt-loss\n", + "r01=losses/(3*i**2)\n", + "x01=math.sqrt(z01**2-r01**2)\n", + "dc_r=r/2.0\n", + "ac_r=dc_r*ratio\n", + "effective_r=r01-ac_r\n", + "\n", + "#result\n", + "print \"x01=\",x01,\"ohm\"\n", + "print \"r1=\",ac_r,\"ohm\"\n", + "print \"r2=\",effective_r,\"ohm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "x01= 0.659157711696 ohm\n", + "r1= 0.08 ohm\n", + "r2= 0.133333333333 ohm\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.10, Page Number:1333" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "ratio=1/4.0\n", + "slip=3.0\n", + "ratio2=4.0\n", + "\n", + "#calculations\n", + "K=math.sqrt(ratio/((ratio2**2)*0.01*slip))\n", + "\n", + "#result\n", + "print \"Percentage Tapping=\",K*100,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Percentage Tapping= 72.1687836487 %\n" + ] + } + ], + "prompt_number": 18 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.11, Page Number:1333" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "load=14.92#kW\n", + "v1=400#V\n", + "n=950#rpm\n", + "f=50.0#Hz\n", + "v2=400#V\n", + "ratio=1.8\n", + "i=30#A\n", + "\n", + "#calculations\n", + "v=v1/math.sqrt(ratio)\n", + "If=6*v*i/v1\n", + "K=v/v1\n", + "kisc=K**2*6*i\n", + "ts_tf=(1/6.0)*6**2*(f/1000.0)\n", + "\n", + "#result\n", + "print \"a)voltage=\",v,\"V\"\n", + "print \"b)current=\",If,\"A\"\n", + "print \"c)line current=\",kisc,\"A\"\n", + "print \"d)percentage=\",ts_tf*100,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "a)voltage= 298.142397 V\n", + "b)current= 134.16407865 A\n", + "c)line current= 100.0 A\n", + "d)percentage= 30.0 %\n" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.12, Page Number:1334" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "ratio=5.0\n", + "per=5\n", + "\n", + "#calculations\n", + "k=math.sqrt(ratio/3)\n", + "tst_tf=(3.0/5)*5**2*0.01*per*100\n", + "\n", + "#result\n", + "print \"auto-transformation ratio=\",tst_tf,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "auto-transformation ratio= 75.0 %\n" + ] + } + ], + "prompt_number": 29 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.13, Page Number:1334" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "v=400.0#V\n", + "per=3.5\n", + "v2=92.0#V\n", + "\n", + "#calculations\n", + "k=math.sqrt(2/(v/v2))\n", + "ts_tf=k**2*(v/v2)**2*0.01*per\n", + "\n", + "#result\n", + "print \"auto-transformation ratio=\",ts_tf*100,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "auto-transformation ratio= 30.4347826087 %\n" + ] + } + ], + "prompt_number": 31 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.14, Page Number:1336" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "load=12.0#kW\n", + "v=440.0#V\n", + "efficiency=0.85\n", + "pf=0.8\n", + "i=45.0#A\n", + "v2=220.0#V\n", + "\n", + "#calculations\n", + "isc=i*v/v2\n", + "if_=load*1000/(efficiency*math.sqrt(3)*pf*v)\n", + "ist=isc/math.sqrt(3)\n", + "ratio=ist/if_\n", + "\n", + "#result\n", + "print \"ratio=\",ratio" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "ratio= 2.244\n" + ] + } + ], + "prompt_number": 34 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.15, Page Number:1336" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "i=60.0#A\n", + "n1=940.0#rpm\n", + "t=150.0#N-m\n", + "i2=300.0#A\n", + "\n", + "#calculations\n", + "sf=(1000-n1)/1000\n", + "tst=t*(i2/i)**2*sf\n", + "s_i=i2/3\n", + "sd_tst=tst/3\n", + "\n", + "#result\n", + "print \"Starting torque=\",tst,\"N-m\"\n", + "print\"when star/delta is used:\"\n", + "print \"starting current=\",s_i,\"A\"\n", + "print \"starting torque=\",sd_tst,\"N-m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Starting torque= 225.0 N-m\n", + "when star/delta is used:\n", + "starting current= 100.0 A\n", + "starting torque= 75.0 N-m\n" + ] + } + ], + "prompt_number": 37 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.16, Page Number:1336" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "tapping=70.7\n", + "ratio=6.0\n", + "slip=4.0\n", + "\n", + "#calculation\n", + "tst_tf=(1.0/3.0)*ratio**2.0*slip*0.01\n", + "tst_tf2=(1.0/2)*ratio**2.0*slip*0.01\n", + "\n", + "#result\n", + "print \"star-delta switch:starting torque=\",tst_tf*100,\"%\"\n", + "print \"auto-transformer switch:starting torque=\",tst_tf2*100,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "star-delta switch:starting torque= 48.0 %\n", + "auto-transformer switch:starting torque= 72.0 %\n" + ] + } + ], + "prompt_number": 48 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.17, Page Number:1337" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "load=11.2#W\n", + "f=50.0#Hz\n", + "v=400.0#V\n", + "n=960.0#rpm\n", + "i=86.4#A\n", + "efficiency=0.88\n", + "pf=0.85\n", + "\n", + "#calculations\n", + "isc=i/math.sqrt(3)\n", + "ist=isc/math.sqrt(3)\n", + "il=load*1000/(efficiency*pf*math.sqrt(3)*v)\n", + "iph=il/math.sqrt(3)\n", + "tst_tf=(ist*math.sqrt(3)/il)**2*0.05\n", + "\n", + "#result\n", + "print \"starting torque=\",tst_tf*100,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "starting torque= 26.6369577796 %\n" + ] + } + ], + "prompt_number": 49 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.18, Page Number:1337" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "output=10.0#kW\n", + "v=400.0#V\n", + "pf=0.85\n", + "efficiency=0.88\n", + "v2=200.0#V\n", + "i=40.0#A\n", + "\n", + "#calculations\n", + "il=load*1000/(efficiency*math.sqrt(3)*v*pf)\n", + "isc=i*v/v2\n", + "iscp=isc/math.sqrt(3)\n", + "ist=iscp/math.sqrt(3)\n", + "ratio=ist/il\n", + "\n", + "#result\n", + "print \"ratio=\",ratio" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "ratio= 1.23388000387\n" + ] + } + ], + "prompt_number": 53 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.19, Page Number:1337" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "load=3.73*1000#W\n", + "v=400.0#V\n", + "f=50.0#Hz\n", + "slip=4.5\n", + "t=250.0\n", + "i=650.0\n", + "tap=60.0\n", + "\n", + "#calculation\n", + "il=i/3\n", + "im=i/3\n", + "tst=t/3\n", + "ilm=(tap/100)**2*i\n", + "imk=(tap/100)*i\n", + "tstk=(tap/100)**2*t\n", + "\n", + "#result\n", + "print \"star/delta:\"\n", + "print \"line current=\",il,\"%\"\n", + "print \"motor current=\",im,\"%\"\n", + "print \"starting torque=\",tst,\"%\"\n", + "print \"60% taps:\"\n", + "print \"line current=\",ilm,\"%\"\n", + "print \"motor current=\",imk,\"%\"\n", + "print \"starting torque=\",tstk,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " star/delta:\n", + "line current= 216.666666667 %\n", + "motor current= 216.666666667 %\n", + "starting torque= 83.3333333333 %\n", + "60% taps:\n", + "line current= 234.0 %\n", + "motor current= 390.0 %\n", + "starting torque= 90.0 %\n" + ] + } + ], + "prompt_number": 55 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.20, Page Number:1338" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "load=180.0\n", + "flt=35.0\n", + "tap=75.0\n", + "\n", + "#calculations\n", + "isc=load*3.0/100\n", + "isck=tap**2*isc/100\n", + "sf=flt*3\n", + "tst_tf=tap**2*sf/100\n", + "#result\n", + "print \"starting current=\",isck,\"%\"\n", + "print \"starting torque=\",tst_tf/100,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "starting current= 303.75 %\n", + "starting torque= 59.0625 %\n" + ] + } + ], + "prompt_number": 68 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.21, Page Number:1338" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#variable declaration\n", + "w=7.46#kW\n", + "ic=1.7\n", + "t=35.0\n", + "ratio=60.0\n", + "\n", + "#calculations\n", + "sf=t*3/100\n", + "il1=ic*3\n", + "tst=(ratio/1000)**2*sf*10000\n", + "il2=(ratio/100)*3*ic\n", + "\n", + "#results\n", + "print \"auto-starter:\"\n", + "print \"line-current=\",il1,\"%\"\n", + "print \"torque=\",tst,\"%\"\n", + "print \"voltage decreased to 60%\"\n", + "print \"line-current\",il2,\"%\"\n", + "print \"torque=\",tst,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "auto-starter:\n", + "line-current= 5.1 %\n", + "torque= 37.8 %\n", + "voltage decreased to 60%\n", + "line-current 3.06 %\n", + "torque= 37.8 %\n" + ] + } + ], + "prompt_number": 71 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.22, Page Number:1342" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "\n", + "#variable declaration\n", + "slip=2.0\n", + "r=0.02#ohm\n", + "n=6.0\n", + "#calculations\n", + "smax=r2=slip/100.0\n", + "R1=r2/smax\n", + "K=math.pow(smax,1.0/5)\n", + "R2=K*R1\n", + "R3=K*R2\n", + "R4=K*R3\n", + "R5=K*R4\n", + "p1=R1-R2\n", + "p2=R2-R3\n", + "p3=R3-R4\n", + "p4=R4-R5\n", + "p5=R5-r2\n", + "\n", + "#result\n", + "print \"resistances of various starter sections:\"\n", + "print \"p1=\",p1,\"ohm\"\n", + "print \"p2=\",p2,\"ohm\"\n", + "print \"p3=\",p3,\"ohm\"\n", + "print \"p4=\",p4,\"ohm\"\n", + "print \"p5=\",p5,\"ohm\"\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "resistances of various starter sections:\n", + "p1= 0.542694948073 ohm\n", + "p2= 0.248177141409 ohm\n", + "p3= 0.113492660539 ohm\n", + "p4= 0.0519007670213 ohm\n", + "p5= 0.0237344829577 ohm\n" + ] + } + ], + "prompt_number": 107 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.23, Page Number:1345" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "primary=complex(1,3)\n", + "outer=complex(3,1)\n", + "inner=complex(0.6,5)\n", + "s=4\n", + "outer2=complex(3/(s*0.01),1)\n", + "inner2=complex(0.6/(s*0.01),5)\n", + "v=440#V\n", + "\n", + "\n", + "#calculations\n", + "#s=1\n", + "z01=primary+1/((1/outer)+(1/inner))\n", + "current_per_phase=v/abs(z01)\n", + "torque=3*current_per_phase**2*(z01.real-1)\n", + "\n", + "print \"s=1: torque=\",torque,\"synch watt\"\n", + "\n", + "#s=4\n", + "z01=primary+1/((1/outer2)+(1/inner2))\n", + "current_per_phase=v/abs(z01)\n", + "torque=3*current_per_phase**2*(z01.real-1)\n", + "\n", + "print \"s=4: torque=\",torque,\"synch watt\"\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "s=1: torque= 35065.3642462 synch watt\n", + "s=4: torque= 32129.9449695 synch watt\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.24, Page Number:1346" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "inner=complex(0.4,2)\n", + "outer=complex(2,0.4)\n", + "s=5\n", + "inner2=complex(0.4/(s*0.01),2)\n", + "outer2=complex(2/(s*0.01),0.4)\n", + "print \n", + "#calculations\n", + "#s=1\n", + "zi=abs(inner)\n", + "zo=abs(outer)\n", + "r_ratio=inner.imag/outer.imag\n", + "to_ti=r_ratio*(zo/zi)**2\n", + "print \"Ratio of torques when s=1:\",to_ti\n", + "\n", + "#s=5\n", + "zi=abs(inner2)\n", + "zo=abs(outer2)\n", + "print zi\n", + "r_ratio=inner2.imag/outer2.imag\n", + "to_ti=r_ratio*(zi/zo)**2\n", + "\n", + "print \"Ratio of torques when s=5:\",to_ti" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "Ratio of torques when s=1: 5.0\n", + "8.24621125124\n", + "Ratio of torques when s=5: 0.212478752125\n" + ] + } + ], + "prompt_number": 37 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.25, Page Number:1346" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "s=5\n", + "zi=complex(0.05,0.4)\n", + "zo=complex(0.5,0.1)\n", + "v=100#V\n", + "\n", + "#calculations\n", + "#s=1\n", + "z=zo*zi/(zo+zi)\n", + "r2=z.real\n", + "z=abs(z)\n", + "i2=v/z\n", + "t=i2**2*r2\n", + "print \"s=1:torque=\",t,\"synch watts\"\n", + "\n", + "#s=0.01\n", + "zi=complex(0.05/(s*0.01),0.4)\n", + "zo=complex(0.5/(s*0.01),0.1)\n", + "z=zo*zi/(zo+zi)\n", + "r2=z.real\n", + "z=abs(z)\n", + "i2=v/z\n", + "t=i2**2*r2\n", + "print \"s=5:torque=\",t,\"synch watts\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "s=1:torque= 22307.6923077 synch watts\n", + "s=5:torque= 9620.58966517 synch watts\n" + ] + } + ], + "prompt_number": 43 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.26, Page Number:1348" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "from sympy.solvers import solve\n", + "from sympy import Symbol\n", + "#variable declaration\n", + "s=Symbol('s')\n", + "z2=complex(2,1.2)\n", + "z1=complex(0.5,3.5)\n", + "#Z1=((2/s)^2+1.2^2)^0.5\n", + "#Z2=((0.5/s)^2+3.5^2)^0.5\n", + "#T1=T2\n", + "ans=solve([(((2**2)/(s**2))+1.2**2)-((((0.5**2)/(s**2))+3.5**2)*4)],[s])\n", + "print \"slip=\",round(ans[1][0]*100,1),\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "slip= 25.1 %\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.27, Page Number:1347" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "zo=complex(1,0)\n", + "zi=complex(0.15,3)\n", + "v=250#V\n", + "n=1000#rpm\n", + "\n", + "#calculations\n", + "z2=zo*zi/(zo+zi)\n", + "stator=complex(0.25,3.5)\n", + "z01=z2+stator\n", + "i=complex(v,0)/z01\n", + "i=abs(i)\n", + "cu_loss=i**2*z01.real\n", + "T=cu_loss*3/(2*math.pi*(n/60))\n", + "#result\n", + "print \"torque=\",T,\"N-m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "torque= 135.560320318 N-m\n" + ] + } + ], + "prompt_number": 49 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.28, Page Number:1348" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "z1=complex(1,2.8)\n", + "zo=complex(3,1)\n", + "zi=complex(0.5,5)\n", + "v=440#V\n", + "s=0.04\n", + "\n", + "#calculations\n", + "#s=1\n", + "z2=zo*zi/(zo+zi)\n", + "z01=z1+z2\n", + "i2=v/z01\n", + "r2=z2.real\n", + "t=abs(i2)**2*r2\n", + "\n", + "print \"s=1:torque=\",t,\"synch. watt\"\n", + "\n", + "#s=0.04\n", + "zo=complex(3.0/s,1.0)\n", + "zi=complex(0.5/s,5.0)\n", + "z2=zo*zi/(zo+zi)\n", + "z01=z1+z2\n", + "i2=v/z01\n", + "r2=z2.real\n", + "t=abs(i2)**2*r2\n", + "print \"s=4:torque=\",t,\"synch. watt\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "s=1:torque= 12388.3258184 synch. watt\n", + "s=4:torque= 11489.1141244 synch. watt\n" + ] + } + ], + "prompt_number": 58 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.29, Page Number:1351" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "f=50.0#Hz\n", + "r=0.30#ohm\n", + "n1=1440.0#rpm\n", + "n2=1320.0#rpm\n", + "ns=120.0*f/4.0\n", + "#calculations\n", + "s1=(ns-n1)/ns\n", + "s2=(ns-n2)/ns\n", + "r=s2*r/s1-r\n", + "\n", + "#result\n", + "print \"external resistance=\",r,\"ohm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "external resistance= 0.6 ohm\n" + ] + } + ], + "prompt_number": 60 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.30, Page Number:1348" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "f=50.0#Hz\n", + "s=0.03\n", + "ratio=10.0\n", + "r=0.2\n", + "\n", + "#calculations\n", + "ns=120*f/6\n", + "s1=s\n", + "n1=ns*(1-s1)\n", + "n2=n1-10*n1/100\n", + "s2=(ns-n2)/ns\n", + "r=s2*r/s1-r\n", + "\n", + "#result\n", + "print \"external resistance=\",r,\"ohm\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "external resistance= 0.646666666667 ohm\n" + ] + } + ], + "prompt_number": 61 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.31, Page Number:1354" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Variable declaration\n", + "f=50#Hz\n", + "s=0.02\n", + "\n", + "#calculations\n", + "nsc=120*f/10\n", + "n=(1-s)*nsc\n", + "nsa=120*f/6\n", + "sa=(nsa-n)/nsa\n", + "f_=sa*f\n", + "n_=(120*f_)/4\n", + "sb=(n_-n)/n_\n", + "f__=sb*f_\n", + "\n", + "#resu;t\n", + "print \"f_=\",f_,\"Hz\"\n", + "print \"f_ _=\",f__,\"Hz\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "f_= 20.6 Hz\n", + "f_ _= 1.0 Hz\n" + ] + } + ], + "prompt_number": 69 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.32, Page Number:1354" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "f=50.0#Hz\n", + "f2=1.0#Hz\n", + "\n", + "#calculations\n", + "nsc=120*f/10\n", + "s=f2/f\n", + "n=nsc-s*nsc\n", + "nsa=120*f/4\n", + "sa=(nsa-n)/nsa\n", + "f1=sa*f\n", + "n2=120*f1/6\n", + "sb=(n2-n)/n2\n", + "\n", + "#result\n", + "print \"sa=\",sa*100,\"%\"\n", + "print \"sb=\",sb*100,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "sa= 60.8 %\n", + "sb= 3.28947368421 %\n" + ] + } + ], + "prompt_number": 75 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.33, Page Number:1354" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "f=50#Hz\n", + "load=74.6#kW\n", + "\n", + "#calculations\n", + "nsc=120*f/10\n", + "output=load*4/10\n", + "\n", + "#result\n", + "print \"speed of set=\",nsc,\"rpm\"\n", + "print \"electric power transferred=\",output,\"kW\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "speed of set= 600 rpm\n", + "electric power transferred= 29.84 kW\n" + ] + } + ], + "prompt_number": 79 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 35.34, Page Number:1355" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "f=50#Hz\n", + "load=25#kW\n", + "\n", + "#calculations\n", + "nsc=120*f/10\n", + "output=load*4/10\n", + "\n", + "#result\n", + "print \"speed of set=\",nsc,\"rpm\"\n", + "print \"electric power transferred=\",output,\"kW\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "speed of set= 600 rpm\n", + "electric power transferred= 10 kW\n" + ] + } + ], + "prompt_number": 78 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +}
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