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diff --git a/A Textbook of Electrical Technology AC and DC Machines/chapter33.ipynb b/A Textbook of Electrical Technology AC and DC Machines/chapter33.ipynb new file mode 100644 index 00000000..495cee05 --- /dev/null +++ b/A Textbook of Electrical Technology AC and DC Machines/chapter33.ipynb @@ -0,0 +1,1433 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:62e227cc38186a0706017dd159987c82bd21be1d7e8602e20c55cf079ab30efe" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 33: Transformer:Three Phase" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.1, Page Number:1216" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "p=3\n", + "f=50.0#Hz\n", + "vd=22000.0#V\n", + "vs=400.0#V\n", + "phi=0.8\n", + "i=5.0#A\n", + "\n", + "#calcuations\n", + "v_phase_secondary=vs/math.sqrt(3)\n", + "K=(vs/vd)/math.sqrt(3)\n", + "i_primary=i/math.sqrt(3)\n", + "i_secondary=i_primary/K\n", + "il=i_secondary\n", + "output=math.sqrt(3)*il*vs*phi\n", + "\n", + "#result\n", + "print \"Output=\",output/10000,\"kW\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Output= 15.2420471066 kW\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.2, Page Number:1217" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "w=500.0#kVA\n", + "f=50.0#Hz\n", + "vls=11.0#kV\n", + "vld=33.0#kV\n", + "rh=35.0#ohm\n", + "rl=0.876#ohm\n", + "iron_loss=3050.0#W\n", + "phi1=1.0\n", + "phi2=0.8\n", + "\n", + "#calculations\n", + "\n", + "K=(vls*1000)/(math.sqrt(3)*vld*1000)\n", + "r02=rl+K**2*rh\n", + "i_Secondary=(w*1000)/(math.sqrt(3)*vls*1000)\n", + "#full load\n", + "fl_culoss=3*((w/(vls*math.sqrt(3)))**2)*r02\n", + "fl_totalloss=fl_culoss+iron_loss\n", + "fl_efficiency1=w*1000/(w*1000+fl_totalloss)\n", + "fl_efficiency2=(phi2*w*1000)/(w*phi2*1000+fl_totalloss)\n", + "#half load\n", + "cu_loss=.5**2*fl_culoss\n", + "totalloss=cu_loss+iron_loss\n", + "efficiency1=(w*1000/2)/((w*1000/2)+totalloss)\n", + "efficiency2=(w*1000*phi2/2)/((phi2*w*1000/2)+totalloss)\n", + "#result\n", + "print \"full load efficiency at p.f. 1=\",fl_efficiency1*100,\"%\"\n", + "print \"full load efficiency at p.f. 0.8=\",fl_efficiency2*100,\"%\"\n", + "print \"half load efficiency at p.f. 1=\",efficiency1*100,\"%\"\n", + "print \"half load efficiency at p.f. 0.8=\",round(efficiency2*100),\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "full load efficiency at p.f. 1= 98.5147491838 %\n", + "full load efficiency at p.f. 0.8= 98.1503046336 %\n", + "half load efficiency at p.f. 1= 98.3585709725 %\n", + "half load efficiency at p.f. 0.8= 98.0 %\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.3, Page Number:1218" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "r=0.02\n", + "va=2000\n", + "reactance=0.1\n", + "pf=0.8\n", + "phi=math.acos(pf)\n", + "#calculation\n", + "cu_loss=r*100*va/100\n", + "regn=r*100*math.cos(phi)+reactance*100*math.sin(phi)\n", + "\n", + "#result\n", + "print \"Cu loss=\",cu_loss,\"kW\"\n", + "print \"Regulation=\",regn,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Cu loss= 40.0 kW\n", + "Regulation= 7.6 %\n" + ] + } + ], + "prompt_number": 39 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.4, Page Number:1218" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "w=120.0#kVA\n", + "v1=6000.0\n", + "v2=400.0\n", + "f=50.0#Hz\n", + "iron_loss=1600.0#W\n", + "pf=0.8\n", + "\n", + "#calculations\n", + "cu_loss_fl=iron_loss*((4/3)**2)\n", + "fl_output=w*pf*1000\n", + "total_loss=iron_loss+cu_loss_fl\n", + "efficiency1=fl_output/(fl_output+total_loss)\n", + "cu_loss_hl=0.5**2*cu_loss_fl\n", + "total_loss2=cu_loss_hl+iron_loss\n", + "efficiency2=(w*1000/2)/((w*1000/2)+total_loss2)\n", + "total_loss3=2*iron_loss\n", + "output=(3.0/4)*w*1000\n", + "inpt=output+total_loss3\n", + "efficiency=output/inpt\n", + "\n", + "\n", + "#result\n", + "print \"full load efficiency=\",efficiency1*100,\"%\"\n", + "print \"half load efficiency=\",efficiency2*100,\"%\"\n", + "print \"3/4 load efficiency=\",efficiency*100,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "full load efficiency= 96.7741935484 %\n", + "half load efficiency= 96.7741935484 %\n", + "3/4 load efficiency= 96.5665236052 %\n" + ] + } + ], + "prompt_number": 46 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.5, Page Number:1218" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "rp=8.0#ohm\n", + "rs=0.08#ohm\n", + "z=0.07\n", + "pf=0.75\n", + "v1=33.0\n", + "v2=6.6\n", + "w=2*10.0**6\n", + "phi=math.acos(pf)\n", + "#calculations\n", + "fl_i=w/(math.sqrt(3)*v2*10**3)\n", + "K=v2/(math.sqrt(3)*v1)\n", + "r02=rs+(rp*(K*K))\n", + "z_drop=z*v2*1000/math.sqrt(3)\n", + "z02=z_drop/fl_i\n", + "x02=math.sqrt((z02*z02)-(r02*r02))\n", + "drop=fl_i*(r02*math.cos(phi)+x02*math.sin(phi))\n", + "secondary_v=v2*1000/math.sqrt(3)\n", + "V2=secondary_v-drop\n", + "line_v=V2*math.sqrt(3)\n", + "regn=drop*100/secondary_v\n", + "\n", + "#result\n", + "print \"secondary voltage\",line_v,\"V\"\n", + "print \"regulation=\",regn,\"%\"\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "secondary voltage 6254.29059005 V\n", + "regulation= 5.23802136291 %\n" + ] + } + ], + "prompt_number": 59 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.6, Page Number:1219" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "w=100.0#kWA\n", + "f=50.0#Hz\n", + "v1=3300.0#V\n", + "v2=400.0#V\n", + "rh=3.5#ohm\n", + "rl=0.02#ohm\n", + "pf=0.8\n", + "efficiency=0.958\n", + "\n", + "#calculations\n", + "output=0.8*100\n", + "inpt=output/efficiency\n", + "total_loss=(inpt-output)*1000\n", + "K=v2/(math.sqrt(3)*v1)\n", + "r02=rl+K**2*rh\n", + "i2=((w*1000)/math.sqrt(3))/v2\n", + "cu_loss=3*i2**2*r02\n", + "iron_loss=total_loss-cu_loss\n", + "#result\n", + "print \"ironloss=\",iron_loss,\"W\"\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "0.0371411080502\n", + "2321.31925314\n", + "ironloss= 1185.98763622 W\n" + ] + } + ], + "prompt_number": 75 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.7, Page Number:1219" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "w=5000.0#kVA\n", + "v1=6.6#kV\n", + "v2=33.0#kV\n", + "nl=15.0#kW\n", + "fl=50.0#kW\n", + "drop=0.07\n", + "load=3200.0#kw\n", + "pf=0.8\n", + "phi=math.acos(pf)\n", + "#calculations\n", + "i2=w*1000/(math.sqrt(3)*v2*1000)\n", + "impedence_drop=drop*(v2/math.sqrt(3))*1000\n", + "z02=impedence_drop/i2\n", + "cu_loss=fl-nl\n", + "r02=cu_loss*1000/(3*i2**2)\n", + "x02=math.sqrt(z02**2-r02**2)\n", + "print \"full-load x02:\",x02\n", + "\n", + "#when load=3200#kW\n", + "i2=load/(math.sqrt(3)*v2*0.8)\n", + "drop_=drop*1000*(r02*math.cos(phi)+z02*math.sin(phi))\n", + "regn=(drop_*100)/(v2*1000/math.sqrt(3))\n", + "vp=v1+regn/100*v1\n", + "print \"Primary voltage=\",vp*1000,\"V\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "full-load x02: 15.1695784661\n", + "Primary voltage= 6851.39317975 V\n" + ] + } + ], + "prompt_number": 95 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.8, Page Number:1219" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "r=1\n", + "x=6\n", + "v=6600#V\n", + "v2=4800#V\n", + "pf=0.8\n", + "phi=math.acos(pf)\n", + "#calculations\n", + "regn=(r*math.cos(phi)+z*math.sin(phi))\n", + "secondary_v=v2+regn/100*v2\n", + "secondary_vp=secondary_v/math.sqrt(3)\n", + "K=secondary_vp/v\n", + "\n", + "#result\n", + "print \"Transformation Ratio=\",K" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Transformation Ratio= 0.423426587968\n" + ] + } + ], + "prompt_number": 96 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.9, Page Number:1220" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "w=2000#kVA\n", + "v1=6600#V\n", + "v2=400#V\n", + "pf=0.8\n", + "scv=400#V\n", + "sci=175#A\n", + "scw=17#kW\n", + "ocv=400#V\n", + "oci=150#A\n", + "ocw=15#kW\n", + "phi=math.acos(pf)\n", + "#calculations\n", + "i1=sci/math.sqrt(3)\n", + "z01=scv/i1\n", + "r01=scw*1000/(3*i1*i1)\n", + "x01=math.sqrt(z01**2-r01**2)\n", + "r=i1*r01*100/v1\n", + "x=i1*x01*100/v1\n", + "regn=(r*math.cos(phi)-x*math.sin(phi))\n", + "I1=w*1000/(math.sqrt(3)*v1)\n", + "total_loss=scw+ocw\n", + "fl_output=w*pf\n", + "efficiency=fl_output/(fl_output+total_loss)\n", + "\n", + "#result\n", + "print \"% resistance=\",r,\"%\"\n", + "print \"% reactance=\",x,\"%\"\n", + "print \"% efficiency=\",efficiency*100,\"%\"\n", + "print \"%regulation=\",regn,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "% resistance= 0.849779616989 %\n", + "% reactance= 6.00073499035 %\n", + "% efficiency= 98.0392156863 %\n", + "%regulation= -2.92061730062 %\n" + ] + } + ], + "prompt_number": 109 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.10, Page Number:1220" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "v1=11000.0#V\n", + "v2=440.0#V\n", + "i=5.0#A\n", + "pf=0.8\n", + "\n", + "#calculations\n", + "secondary_rating=v2/math.sqrt(3)\n", + "primary_i=i/math.sqrt(3)\n", + "voltsamps=v1*5/math.sqrt(3)\n", + "i2=voltsamps/secondary_rating\n", + "output=pf*voltsamps/1000\n", + "\n", + "#result\n", + "print \"Each coil current=\",i2,\"A\"\n", + "print \"Total output=\",output,\"kW\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Each coil current= 125.0 A\n", + "Total output= 25.4034118443 kW\n" + ] + } + ], + "prompt_number": 116 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.12, Page Number:1224" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "load=40#kVA\n", + "\n", + "#calculations\n", + "kVA_per_transformer=load/2*1.15\n", + "delta_delta_rating=kVA_per_transformer*3\n", + "increase=(delta_delta_rating-load)*100/load\n", + "\n", + "#result\n", + "print \"increase=\",increase,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "increase= 72.5 %\n" + ] + } + ], + "prompt_number": 126 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.13, Page Number:1224" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "w=20#kVA\n", + "v1=2300#v\n", + "v2=230#V\n", + "load=40#kVA\n", + "\n", + "#calculations\n", + "kva_load=load/math.sqrt(3)\n", + "percent_rated=kva_load*100/w\n", + "kvarating_vv=2*w*0.866\n", + "vv_delta=kvarating_vv*100/60\n", + "percentage_increase=kva_load/(load/3)\n", + "\n", + "#result\n", + "print \"i)kVA load of each transformer=\",kva_load,\"kVA\"\n", + "print \"ii)per cent of rated load carried by each transformer=\",percent_rated,\"%\"\n", + "print \"iii)total kVA rating of the V-V bank\",kvarating_vv,\"kVA\"\n", + "print \"iv)ratio of the v-v bank to delta-delta bank\",vv_delta,\"%\"\n", + "print \"v)percent increase in load=\",percentage_increase*100,\"%\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "i)kVA load of each transformer= 23.0940107676 kVA\n", + "ii)per cent of rated load carried by each transformer= 115.470053838 %\n", + "iii)total kVA rating of the V-V bank 34.64 kVA\n", + "iv)ratio of the v-v bank to delta-delta bank 57.7333333333 %\n", + "v)percent increase in load= 177.646236674 %\n" + ] + } + ], + "prompt_number": 130 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.14, Page Number:1225" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "load=150.0#kW\n", + "v1=1000.0#V\n", + "pf=0.866\n", + "v=2000.0#V\n", + "\n", + "#calculations\n", + "il=load*1000/(pf*math.sqrt(3)*1000)\n", + "ip=il/math.sqrt(3)\n", + "ratio=v1/v\n", + "ip=ip*ratio\n", + "I=il\n", + "Ip=I*ratio\n", + "pf=86.6/100*pf\n", + "\n", + "#result\n", + "print \"delta-delta:current in the windings=\",ip,\"A\"\n", + "print \"v-v:current in the windings=\",Ip,\"A\"\n", + "print \"Power factor\",pf" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "delta-delta:current in the windings= 28.8683602771 A\n", + "v-v:current in the windings= 50.0014667312 A\n", + "Power factor 0.749956\n" + ] + } + ], + "prompt_number": 133 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.15, Page Number:1225" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "load=3000#kW\n", + "v=11#kV\n", + "pf=0.8\n", + "\n", + "#calculations\n", + "I=load*1000/(math.sqrt(3)*v*1000*pf)\n", + "transformer_pf=86.6/100*pf\n", + "additional_load=72.5/100*load\n", + "total_load=additional_load+load\n", + "il=total_load*1000/(math.sqrt(3)*v*1000*pf)\n", + "\n", + "#result\n", + "print \"Il=\",il,\"A\"\n", + "print \"phase current=\",il/math.sqrt(3),\"A\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Il= 339.521323075 A\n", + "phase current= 196.022727273 A\n" + ] + } + ], + "prompt_number": 134 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.16, Page Number:1225" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "load=400#kVA\n", + "pf=0.866\n", + "v=440#V\n", + "\n", + "#calculations\n", + "kVA_each=(load/2)/pf\n", + "phi=math.acos(pf)\n", + "p1=kVA_each*math.cos(math.radians(30-phi))\n", + "p2=kVA_each*math.cos(math.radians(30+phi))\n", + "p=p1+p2\n", + "\n", + "#result\n", + "print \"kVA supplied by each transformer=\",kVA_each,\"kVA\"\n", + "print \"kW supplied by each transformer=\",p,\"kW\"\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "kVA supplied by each transformer= 230.946882217 kVA\n", + "kW supplied by each transformer= 399.995027715 kW\n" + ] + } + ], + "prompt_number": 136 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.17, Page Number:1228" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "v=400.0#V\n", + "load=33.0#kVA\n", + "v2=3300.0#V\n", + "\n", + "#calculations\n", + "vl=0.866*v2\n", + "ilp=load*1000/(math.sqrt(3)*v2)\n", + "ils=ilp/(440/v2)\n", + "main_kva=v2*ilp*0.001\n", + "teaser_kva=0.866*main_kva\n", + "\n", + "#result\n", + "print \"voltage rating of each coil=\",vl\n", + "print \"current rating of each coil=\",ils\n", + "print \"main kVA=\",main_kva,\"kVA\"\n", + "print \"teaser kVA=\",teaser_kva,\"kVA\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "voltage rating of each coil= 2857.8\n", + "current rating of each coil= 43.3012701892\n", + "main kVA= 19.0525588833 kVA\n", + "teaser kVA= 16.4995159929 kVA\n" + ] + } + ], + "prompt_number": 139 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.18, Page Number:1231" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "v=440.0#V\n", + "v2=200.0#V\n", + "output=150.0#kVA\n", + "\n", + "#calculations\n", + "ratio=v2/v\n", + "i2=output*1000/(2*v2)\n", + "i1=i2*ratio\n", + "primary_volts=(math.sqrt(3)*v)/2\n", + "ratio=v2/primary_volts\n", + "\n", + "#result\n", + "print \"primary current=\",i1,\"A\"\n", + "print \"turns ratio\",ratio" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "primary current= 170.454545455 A\n", + "turns ratio 0.524863881081\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.19, Page Number:1231" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "v=100.0#V\n", + "v2=3300.0#V\n", + "p=400.0#kW\n", + "pf=0.8\n", + "\n", + "#calculations\n", + "K=v/v2\n", + "i2=p*1000/(pf*v)\n", + "ip=1.15*K*i2\n", + "I2m=K*i2\n", + "i2=ip/2\n", + "i1m=math.sqrt(I2m**2+i2**2)\n", + "\n", + "#reslult\n", + "print \"Current=\",i1m,\"A\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Current= 174.77684841 A\n" + ] + } + ], + "prompt_number": 150 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.20, Page Number:1232" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "w1=300#kW\n", + "w2=450#kW\n", + "v1=100#V\n", + "pf=0.707\n", + "v2=3300#V\n", + "\n", + "#calculations\n", + "K=v/v2\n", + "i2t=(w2*1000)/(100*pf)\n", + "i1t=1.15*K*i2t\n", + "I2m=(K*w1*1000)/(100*pf)\n", + "i2=i1t/2\n", + "i1m=math.sqrt(I2m**2+i2**2)\n", + "\n", + "#result\n", + "print \"Current=\",i1m,\"A\"\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Current= 169.804606659 A\n" + ] + } + ], + "prompt_number": 163 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.21, Page Number:1233" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "v1=80.0#V\n", + "v2=11000.0#V\n", + "w1=500.0#kW\n", + "w2=800.0#kW\n", + "pf=0.5\n", + "\n", + "#calculations\n", + "K=v1/v2\n", + "#unity pf\n", + "i2t=w1*1000/v1\n", + "i1t=1.15*K*i2t\n", + "i2m=K*w2*1000/v1\n", + "i1t_half=i1t/2\n", + "ip=math.sqrt(i2m**2+i1t_half**2)\n", + "\n", + "print \"unity pf\"\n", + "print \"one 3 phase line carries\",i1t,\"A whereas the other 2 carry\",ip,\"A each\"\n", + "#0.5 pf\n", + "i2t=w1*1000/(v1*pf)\n", + "i1t=1.15*K*i2t\n", + "i2m=K*w2*1000/(v1*pf)\n", + "i1t_half=i1t/2\n", + "ip=math.sqrt(i2m**2+i1t_half**2)\n", + "print \"0.5 pf\"\n", + "print \"one 3 phase line carries\",i1t,\"A whereas the other 2 carry\",ip,\"A each\"\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "unity pf\n", + "one 3 phase line carries 52.2727272727 A whereas the other 2 carry 77.281082436 A each\n", + "0.5 pf\n", + "one 3 phase line carries 104.545454545 A whereas the other 2 carry 154.562164872 A each\n" + ] + } + ], + "prompt_number": 171 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.22, Page Number:1234" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "v1=50#V\n", + "v2=4.6*1000#V\n", + "load=350#kW\n", + "w=200#kW\n", + "pf=0.8\n", + "\n", + "#calculation\n", + "K=v1/v2\n", + "i2t=w*1000/(v1*pf)\n", + "i1t=1.15*K*i2t\n", + "i2m=load*1000/(v1*pf)\n", + "Ki2m=K*i2m\n", + "i1t_half=i1t/2\n", + "i1m=math.sqrt(Ki2m**2+i1t_half**2)\n", + "\n", + "#result\n", + "print \"current in line A=\",i1t\n", + "print \"current in line B=\",i1m\n", + "print \"current in line C=\",i1m" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "current in line A= 62.5\n", + "current in line B= 100.11107076\n", + "current in line C= 100.11107076\n" + ] + } + ], + "prompt_number": 173 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.23, Page Number:1234" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "v=231#V\n", + "v2=6600#v\n", + "volt_induced=8#v\n", + "\n", + "#calculations\n", + "hv=v2/volt_induced\n", + "vl=v*math.sqrt(3)\n", + "n_lv1=vl/volt_induced\n", + "n_lv2=math.sqrt(3)*n_lv1/2\n", + "n=2*n_lv2/3\n", + "\n", + "#result\n", + "print \"neutral point is located on the\",math.ceil(n),\"th turn from A downwards\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "neutral point is located on the 29.0 th turn from A downwards\n" + ] + } + ], + "prompt_number": 176 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.24, Page Number:1235" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "v=6000.0#V\n", + "v2=440.0#V\n", + "f=50.0#Hz\n", + "area=300.0#cm2\n", + "flux=1.2#Wb/m2\n", + "\n", + "#calculations\n", + "n1=v/(4.44*f*flux*area*0.0001*0.9)\n", + "K=v2/v\n", + "n2=n1*K\n", + "n_lv=math.sqrt(3)*n2/2\n", + "turns=n_lv*2/3\n", + "\n", + "#result\n", + "print \"NUmber of turns in AN=\",math.floor(turns)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " NUmber of turns in AN= 35.0\n" + ] + } + ], + "prompt_number": 183 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.25, Page Number:1235" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import math\n", + "#variable declaration\n", + "v=250.0#V\n", + "load=30.0#kVA\n", + "v2=250.0#V\n", + "\n", + "#calculations\n", + "il=load*1000/(math.sqrt(3)*v2)\n", + "vl=0.866*v2\n", + "kva=il*vl*(0.001)\n", + "\n", + "#result\n", + "print \"Voltage=\",vl,\"V\"\n", + "print \"kVA rating\",kva,\"kVA\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Voltage= 216.5 V\n", + "kVA rating 14.9995599935 kVA\n" + ] + } + ], + "prompt_number": 185 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.26, Page Number:1237" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import cmath\n", + "#vaiable declaration\n", + "load=500#kVA\n", + "pf=0.8\n", + "za=complex(2,6)\n", + "zb=complex(2,5)\n", + "phi=math.acos(pf)\n", + "#calculations\n", + "s=load*complex(math.cos(phi),math.sin(phi))\n", + "z1=za/zb\n", + "z2=zb/za\n", + "sa=s/(1+z1)\n", + "sb=s/(1+z2)\n", + "pfa=cmath.phase(sa)\n", + "pfb=cmath.phase(sb)\n", + "#result\n", + "print \"sa=\",abs(sa)\n", + "print \"sb=\",abs(sb)\n", + "print \"cos phi_a=\",pfa\n", + "print \"cos phi_b=\",pfb" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "sa= 230.042839552\n", + "sb= 270.171613479\n", + "cos phi_a= 0.611765735265\n", + "cos phi_b= 0.670521557981\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.27, Page Number:1237" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import cmath\n", + "#variable declaration\n", + "w=2000#kVA\n", + "w1=4000#kVA\n", + "w2=5000#kVA\n", + "pf=0.8\n", + "za=complex(2,8)\n", + "zb=complex(1.6,3)\n", + "\n", + "#calculations\n", + "za_per=(w1/w)*za\n", + "zb_per=zb\n", + "z=za_per+zb_per\n", + "s=complex(w1,w-w2)\n", + "sb=s*(za/z)\n", + "sa=s-sb\n", + "\n", + "#result\n", + "print \"sa=\",sa\n", + "print \"sb=\",sb" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "sa= (2284.2287695-1821.49046794j)\n", + "sb= (1715.7712305-1178.50953206j)\n" + ] + } + ], + "prompt_number": 211 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.28, Page Number:1237" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import cmath\n", + "#variable declaration\n", + "load=1400#kVA\n", + "pf=0.866\n", + "w1=1000#kVA\n", + "w2=500#kVA\n", + "v1=6600\n", + "v2=400\n", + "za=complex(0.001,0.003)\n", + "zb=complex(0.0028,0.005)\n", + "phi=math.acos(pf)\n", + "#calculations\n", + "zb=(w1/w2)*zb\n", + "z=za/(za+zb)\n", + "x=math.cos(-phi)\n", + "y=math.sin(-phi)*1j\n", + "s=load*(x+y)\n", + "sb=s*z\n", + "sa=s-sb\n", + "\n", + "#result\n", + "print \"sa=\",sa\n", + "print \"sb=\",sb" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "sa= (929.911014012-588.664867724j)\n", + "sb= (282.488985988-111.396729565j)\n" + ] + } + ], + "prompt_number": 240 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.29, Page Number:1238" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import cmath\n", + "#variable declaration\n", + "load=750#kVA\n", + "pf=0.707\n", + "w1=500#kVA\n", + "w2=250#kVA\n", + "v1=3300\n", + "v2=400\n", + "za=complex(2,3)\n", + "zb=complex(1.5,4)\n", + "phi=math.acos(pf)\n", + "#calculations\n", + "zb=(w1/w2)*zb\n", + "z=za/(za+zb)\n", + "x=math.cos(-phi)\n", + "y=math.sin(-phi)*1j\n", + "s=load*(x+y)\n", + "sb=s*z\n", + "sa=s-sb\n", + "per_r=za.real*(sa.real)/w1\n", + "per_x=(za.imag)*(sa.imag)/w1\n", + "total_per=per_r+per_x\n", + "vl=v2-(total_per*4)\n", + "#result\n", + "print \"sa=\",sa\n", + "print \"sb=\",sb" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "sa= (399.511103547-348.770523615j)\n", + "sb= (130.738896453-181.639636072j)\n" + ] + } + ], + "prompt_number": 242 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.30, Page Number:1240" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "ratio=100/5\n", + "i=5#A\n", + "i1=3.5#A\n", + "\n", + "#calculations\n", + "il=i1*ratio\n", + "\n", + "#result\n", + "print \"Line current=\",il,\"A\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Line current= 70.0 A\n" + ] + } + ], + "prompt_number": 214 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example Number 33.31, Page Number:1240" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#variable declaration\n", + "i1=2000#A\n", + "i2=2500#A\n", + "i=5#A\n", + "\n", + "#calculations\n", + "ratio1=i1/i\n", + "ratio2=i2/i\n", + "\n", + "#result\n", + "print \"ratio in first case=\",ratio1\n", + "print \"ratio in second case=\",ratio2" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "ratio in first case= 400\n", + "ratio in second case= 500\n" + ] + } + ], + "prompt_number": 216 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +}
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