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| author | kinitrupti | 2017-05-12 18:40:35 +0530 |
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| committer | kinitrupti | 2017-05-12 18:40:35 +0530 |
| commit | d36fc3b8f88cc3108ffff6151e376b619b9abb01 (patch) | |
| tree | 9806b0d68a708d2cfc4efc8ae3751423c56b7721 /Introduction_to_Electric_Drives_by_J._S._Katre | |
| parent | 1b1bb67e9ea912be5c8591523c8b328766e3680f (diff) | |
| download | Python-Textbook-Companions-d36fc3b8f88cc3108ffff6151e376b619b9abb01.tar.gz Python-Textbook-Companions-d36fc3b8f88cc3108ffff6151e376b619b9abb01.tar.bz2 Python-Textbook-Companions-d36fc3b8f88cc3108ffff6151e376b619b9abb01.zip | |
Revised list of TBCs
Diffstat (limited to 'Introduction_to_Electric_Drives_by_J._S._Katre')
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diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/AppendixB.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/AppendixB.ipynb deleted file mode 100755 index 6f478428..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/AppendixB.ipynb +++ /dev/null @@ -1,115 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:b134fb226353a29c9f6ab66213741737af66d3b98e698f820ccfff9982201b32" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Appendix B" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2(b) : Page B1" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#power absorbed\n", - "from numpy import sqrt, pi, cos, sin\n", - "vsrms=230 #volts\n", - "vm=(sqrt(2)*vsrms)/2 #volts\n", - "alpha1=45 #degree\n", - "alpha2=90 #degree\n", - "x1=45*(pi/180)\n", - "x2=90*(pi/180)\n", - "vldc1=(vm/pi)*(1+cos(alpha1*pi/180)) \n", - "vldc2=(vm/pi)*(1+cos(alpha2*pi/180)) \n", - "vlms1=vm*((1/pi)*(pi-x1+(sin(2*x1))/2))**(1/2) \n", - "vlms2=vm*((1/pi)*(pi-x2+(sin(2*x2))/2))**(1/2) \n", - "r1=100 #OHM\n", - "pl1=((vlms1)**2)/r1 #W\n", - "pl2=((vlms2)**2)/r1 #W\n", - "print \"power absorbed = %0.2f W\" %pl1\n", - "print \"power absorbed = %0.2f W\" %pl2" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "power absorbed = 240.47 W\n", - "power absorbed = 132.25 W\n" - ] - } - ], - "prompt_number": 14 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 5(b) Page B3" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#power absorbed\n", - "v=400 #V\n", - "po=15 #kW\n", - "nfx=1440 #rpm\n", - "f=50 #Hz\n", - "z2=0.4+1J*1.6 #ohm\n", - "p=4\n", - "x=120 #Hz\n", - "ns=((x*f)/p) #rpm\n", - "s=((ns-nfx)/ns) #slip\n", - "ns1=(x*x)/p #rpm\n", - "nfl1=(1-s)*ns1 #rpm\n", - "print \"full load speed = %0.2f rpm\"%nfl1\n", - "sm=(z2.real)/(z2.imag) #slip\n", - "print \"slip is = \",sm\n", - "tfy=((po*10**3)/(2*pi*(nfl1/60))) #N-m\n", - "a=sm\n", - "tm=((a**2+s**2)/(2*a*s))*tfy #N-m\n", - "print \"maximum torque = %0.2f N-m\"%tm" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "full load speed = 3456.00 rpm\n", - "slip is = 0.25\n", - "maximum torque = 132.84 N-m\n" - ] - } - ], - "prompt_number": 16 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter1.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter1.ipynb deleted file mode 100755 index 07476ab0..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter1.ipynb +++ /dev/null @@ -1,249 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:1ede18939970cf3dcd5883a4a0c1fb987d10a2324079f20686384266546536c0" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter1, Thyristors" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 1.11.1 : page 1-29 " - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#peak reverse recovery current\n", - "#given data :\n", - "itt=10 # time in micro seconds\n", - "qtt=150 #charge in micro colums\n", - "prrc=((2*qtt)/itt) #peak reverse recovery current in amperes\n", - "print \"Peak reverse recovery current = %0.f A\" %prrc" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Peak reverse recovery current = 30 A\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Examples 1.18.1: page 1-44" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from math import pi, sqrt, cos\n", - "#voltage of the capacitor\n", - "r=10 #in ohms\n", - "l=10 #/inductance in mH\n", - "c=10 #capacitance in micro farads\n", - "v=100 #in volts\n", - "t=((pi)/(sqrt((1/(l*10**-3*c*10**-6))-(r**2/(4*(l*10**-3)**2))))) # time in seconds\n", - "vc= v*(1-cos(t/(sqrt(l*10**-3*c*10**-6))*pi/180)) #in volts\n", - "print \"The capacitor voltage = %0.2f V\" %vc\n", - "#answer is wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The capacitor voltage = 0.15 V\n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 1.18.2: page 1-45" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from math import pi, sqrt, cos\n", - "#voltage of the capacitor\n", - "r=15 #in ohms\n", - "l=12 #/inductance in mH\n", - "c=8 #capacitance in micro farads\n", - "v=100 #in volts\n", - "t=((pi)/(sqrt((1/(l*10**-3*c*10**-6))-(r**2/(4*(l*10**-3)**2))))) # time in seconds\n", - "vc= v*(1-cos(t/(sqrt(l*10**-3*c*10**-6))*pi/180)) #in volts\n", - "print \"The capacitor voltage = %0.2f V\" %vc\n", - "#this question is not solved in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The capacitor voltage = 0.16 V\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 1.20.1: page 1-52" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#Turn Off Time\n", - "#given data :\n", - "Vs=200 #in volts\n", - "R1=10 # in ohm\n", - "R2=R1 \n", - "C=5 # in micro-farad\n", - "Tc=(R1*C)/1.44 \n", - "print \"The Circuit Turn Off Time, Tc = %0.2f micro-sec\" %Tc" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The Circuit Turn Off Time, Tc = 34.72 micro-sec\n" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 1.20.2: page 1-52" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#Peak Current and turn off time\n", - "#given data :\n", - "Vs=200 #in volts\n", - "R1=10 # in ohm\n", - "R2=R1 \n", - "Vc=200 #in volts\n", - "C=10 # in micro-farad\n", - "I1=Vs/R1 \n", - "I2=(Vs+Vc)/R2 \n", - "It1=I1+I2 \n", - "print \"Peak Current, It1 = %0.2f A \" %It1\n", - "Tc=(R1*C)/1.44 \n", - "print \"The Circuit Turn Off Time, Tc = %0.2f micro-sec \" %Tc" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Peak Current, It1 = 60.00 A \n", - "The Circuit Turn Off Time, Tc = 69.44 micro-sec \n" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 1.21.1: page 1-59" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from math import pi\n", - "#L and C\n", - "#given data :\n", - "V=100 # in volts\n", - "Irm=40 # in A\n", - "tq=40 # in micro-sec\n", - "Del_t=(50/100)*tq # in micro-sec\n", - "C=(Irm*(tq+Del_t))/V \n", - "print \"Capacitance, C = %0.f micro-farad \" %C\n", - "L_min=(V/Irm)**2*C \n", - "print \"Minimum inductance, L_min = %0.f micro-Henry\" %L_min\n", - "T=2.5 # assume one cycle period in ms\n", - "L_max=((0.01*(T*10**-3)**2)/(pi**2*C*10**-6))*10**6 \n", - "print \"Maximum inductance, L_max = %0.2f micro-Henry \" %L_max" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Capacitance, C = 24 micro-farad \n", - "Minimum inductance, L_min = 150 micro-Henry\n", - "Maximum inductance, L_max = 263.86 micro-Henry \n" - ] - } - ], - "prompt_number": 6 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter10.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter10.ipynb deleted file mode 100755 index 8b10d43d..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter10.ipynb +++ /dev/null @@ -1,194 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:6c3e9861fb7b86a80c4d5ca0c3d83de8fac426220f4a72ee4169a76eb0964c4c" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter10, Control of AC drives" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 10.15.1: page 10-42" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import pi\n", - "#slip,the air gap power and efficiency\n", - "#given data :\n", - "w=100 # in rad/sec\n", - "F1=50 #in Hz\n", - "P=4 \n", - "Ns=(120*F1)/P \n", - "ws=2*pi*(Ns/60) \n", - "s=((ws-w)/ws) \n", - "print \"part (1)\"\n", - "print \"slip is\", round(s,4),\" or \", round(s*100,2), \" % \"\n", - "print \"part (2)\"\n", - "T=100 # in N-M\n", - "w=100 # in rad/sec\n", - "Pag=ws*T \n", - "P_slip=s*Pag \n", - "P_mech=(1-s)*Pag \n", - "print \"(a)the air gap power, pag = %0.f W\" %Pag\n", - "print \"(b)slip power = %0.f W\" %P_slip\n", - "print \"(c)Mech o/p power, P_mech = %0.f W\" %P_mech\n", - "#air gap power is calculated wrong in the textbook\n", - "print \"part (3)\"\n", - "eta=(P_mech/Pag) \n", - "print \"efficiency of the rotor circuit is\", round(eta,4),\" or\", round(eta*100,2),\" % \"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (1)\n", - "slip is 0.3634 or 36.34 % \n", - "part (2)\n", - "(a)the air gap power, pag = 15708 W\n", - "(b)slip power = 5708 W\n", - "(c)Mech o/p power, P_mech = 10000 W\n", - "part (3)\n", - "efficiency of the rotor circuit is 0.6366 or 63.66 % \n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 10.15.2 :page 10-43" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#voltage per phase,slip,slip frequency ,slip and rotor loss\n", - "#given data :\n", - "V_rms=240 # in volts\n", - "F1=50 #in Hz\n", - "Vs_rms=240/2 \n", - "print \"part (1)\"\n", - "print \"supply voltage = %0.2f V\"%Vs_rms\n", - "print \"part (2)\"\n", - "N=1440 # in rpm\n", - "P=4 # pole\n", - "Ns=(120*F1)/4 \n", - "S=((Ns-N)/Ns) \n", - "print \"slip is \", S, \" or\", S*100, \" % \"\n", - "print \"part (3)\"\n", - "S_frequency=S*F1 \n", - "print \"slip frequency = %0.2f Hz\" %S_frequency\n", - "print \"part (4)\"\n", - "f=2 #Hz\n", - "f1=25 #Hz\n", - "s=(f/f1) #\n", - "print \"slip is\", s, \" or\", s*100, \" % \"\n", - "print \"part (5)\"\n", - "F2=25 #in Hz\n", - "S1=(S_frequency/F2) \n", - "rotor_loss=S1/(1-S1) \n", - "print \"Rotor loss = %0.4f %%\" %rotor_loss " - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (1)\n", - "supply voltage = 120.00 V\n", - "part (2)\n", - "slip is 0.04 or 4.0 % \n", - "part (3)\n", - "slip frequency = 2.00 Hz\n", - "part (4)\n", - "slip is 0.08 or 8.0 % \n", - "part (5)\n", - "Rotor loss = 0.0870 %\n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 10.15.6: page 10-45" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#voltage per phase , slip ,slip frequency and percentage rotor loss\n", - "Ns1=750 #\n", - "V_rms=240 # in volts\n", - "f2=25 #Hz\n", - "F1=50 #in Hz\n", - "Vs_rms=240/2 \n", - "N=1440 # in rpm\n", - "P=4 # pole\n", - "Ns=(120*F1)/4 \n", - "S=((Ns-N)/Ns) \n", - "S_frequency=S*F1 \n", - "fs12=S_frequency/4 #\n", - "S1=fs12/f2 \n", - "rotor_loss=S1/(1-S1) \n", - "n=Ns1-((S1*Ns1)) #\n", - "print \"supply voltage = %0.2f V\" %Vs_rms\n", - "print \"slip,S = %0.2f %%\"%(1*100)\n", - "print \"slip frequency at 50Hz = %0.2f Hz\"%S_frequency\n", - "print \"slip frequency at 25Hz = %0.2f Hz\"%fs12\n", - "print \"Rotor loss = %0.2f %%\" %rotor_loss \n", - "print \"speed = %0.2f rpm\" %n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "supply voltage = 120.00 V\n", - "slip,S = 100.00 %\n", - "slip frequency at 50Hz = 2.00 Hz\n", - "slip frequency at 25Hz = 0.50 Hz\n", - "Rotor loss = 0.02 %\n", - "speed = 735.00 rpm\n" - ] - } - ], - "prompt_number": 3 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter10_1.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter10_1.ipynb deleted file mode 100755 index 8b10d43d..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter10_1.ipynb +++ /dev/null @@ -1,194 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:6c3e9861fb7b86a80c4d5ca0c3d83de8fac426220f4a72ee4169a76eb0964c4c" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter10, Control of AC drives" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 10.15.1: page 10-42" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import pi\n", - "#slip,the air gap power and efficiency\n", - "#given data :\n", - "w=100 # in rad/sec\n", - "F1=50 #in Hz\n", - "P=4 \n", - "Ns=(120*F1)/P \n", - "ws=2*pi*(Ns/60) \n", - "s=((ws-w)/ws) \n", - "print \"part (1)\"\n", - "print \"slip is\", round(s,4),\" or \", round(s*100,2), \" % \"\n", - "print \"part (2)\"\n", - "T=100 # in N-M\n", - "w=100 # in rad/sec\n", - "Pag=ws*T \n", - "P_slip=s*Pag \n", - "P_mech=(1-s)*Pag \n", - "print \"(a)the air gap power, pag = %0.f W\" %Pag\n", - "print \"(b)slip power = %0.f W\" %P_slip\n", - "print \"(c)Mech o/p power, P_mech = %0.f W\" %P_mech\n", - "#air gap power is calculated wrong in the textbook\n", - "print \"part (3)\"\n", - "eta=(P_mech/Pag) \n", - "print \"efficiency of the rotor circuit is\", round(eta,4),\" or\", round(eta*100,2),\" % \"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (1)\n", - "slip is 0.3634 or 36.34 % \n", - "part (2)\n", - "(a)the air gap power, pag = 15708 W\n", - "(b)slip power = 5708 W\n", - "(c)Mech o/p power, P_mech = 10000 W\n", - "part (3)\n", - "efficiency of the rotor circuit is 0.6366 or 63.66 % \n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 10.15.2 :page 10-43" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#voltage per phase,slip,slip frequency ,slip and rotor loss\n", - "#given data :\n", - "V_rms=240 # in volts\n", - "F1=50 #in Hz\n", - "Vs_rms=240/2 \n", - "print \"part (1)\"\n", - "print \"supply voltage = %0.2f V\"%Vs_rms\n", - "print \"part (2)\"\n", - "N=1440 # in rpm\n", - "P=4 # pole\n", - "Ns=(120*F1)/4 \n", - "S=((Ns-N)/Ns) \n", - "print \"slip is \", S, \" or\", S*100, \" % \"\n", - "print \"part (3)\"\n", - "S_frequency=S*F1 \n", - "print \"slip frequency = %0.2f Hz\" %S_frequency\n", - "print \"part (4)\"\n", - "f=2 #Hz\n", - "f1=25 #Hz\n", - "s=(f/f1) #\n", - "print \"slip is\", s, \" or\", s*100, \" % \"\n", - "print \"part (5)\"\n", - "F2=25 #in Hz\n", - "S1=(S_frequency/F2) \n", - "rotor_loss=S1/(1-S1) \n", - "print \"Rotor loss = %0.4f %%\" %rotor_loss " - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (1)\n", - "supply voltage = 120.00 V\n", - "part (2)\n", - "slip is 0.04 or 4.0 % \n", - "part (3)\n", - "slip frequency = 2.00 Hz\n", - "part (4)\n", - "slip is 0.08 or 8.0 % \n", - "part (5)\n", - "Rotor loss = 0.0870 %\n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 10.15.6: page 10-45" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#voltage per phase , slip ,slip frequency and percentage rotor loss\n", - "Ns1=750 #\n", - "V_rms=240 # in volts\n", - "f2=25 #Hz\n", - "F1=50 #in Hz\n", - "Vs_rms=240/2 \n", - "N=1440 # in rpm\n", - "P=4 # pole\n", - "Ns=(120*F1)/4 \n", - "S=((Ns-N)/Ns) \n", - "S_frequency=S*F1 \n", - "fs12=S_frequency/4 #\n", - "S1=fs12/f2 \n", - "rotor_loss=S1/(1-S1) \n", - "n=Ns1-((S1*Ns1)) #\n", - "print \"supply voltage = %0.2f V\" %Vs_rms\n", - "print \"slip,S = %0.2f %%\"%(1*100)\n", - "print \"slip frequency at 50Hz = %0.2f Hz\"%S_frequency\n", - "print \"slip frequency at 25Hz = %0.2f Hz\"%fs12\n", - "print \"Rotor loss = %0.2f %%\" %rotor_loss \n", - "print \"speed = %0.2f rpm\" %n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "supply voltage = 120.00 V\n", - "slip,S = 100.00 %\n", - "slip frequency at 50Hz = 2.00 Hz\n", - "slip frequency at 25Hz = 0.50 Hz\n", - "Rotor loss = 0.02 %\n", - "speed = 735.00 rpm\n" - ] - } - ], - "prompt_number": 3 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter1_1.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter1_1.ipynb deleted file mode 100755 index 07476ab0..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter1_1.ipynb +++ /dev/null @@ -1,249 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:1ede18939970cf3dcd5883a4a0c1fb987d10a2324079f20686384266546536c0" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter1, Thyristors" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 1.11.1 : page 1-29 " - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#peak reverse recovery current\n", - "#given data :\n", - "itt=10 # time in micro seconds\n", - "qtt=150 #charge in micro colums\n", - "prrc=((2*qtt)/itt) #peak reverse recovery current in amperes\n", - "print \"Peak reverse recovery current = %0.f A\" %prrc" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Peak reverse recovery current = 30 A\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Examples 1.18.1: page 1-44" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from math import pi, sqrt, cos\n", - "#voltage of the capacitor\n", - "r=10 #in ohms\n", - "l=10 #/inductance in mH\n", - "c=10 #capacitance in micro farads\n", - "v=100 #in volts\n", - "t=((pi)/(sqrt((1/(l*10**-3*c*10**-6))-(r**2/(4*(l*10**-3)**2))))) # time in seconds\n", - "vc= v*(1-cos(t/(sqrt(l*10**-3*c*10**-6))*pi/180)) #in volts\n", - "print \"The capacitor voltage = %0.2f V\" %vc\n", - "#answer is wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The capacitor voltage = 0.15 V\n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 1.18.2: page 1-45" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from math import pi, sqrt, cos\n", - "#voltage of the capacitor\n", - "r=15 #in ohms\n", - "l=12 #/inductance in mH\n", - "c=8 #capacitance in micro farads\n", - "v=100 #in volts\n", - "t=((pi)/(sqrt((1/(l*10**-3*c*10**-6))-(r**2/(4*(l*10**-3)**2))))) # time in seconds\n", - "vc= v*(1-cos(t/(sqrt(l*10**-3*c*10**-6))*pi/180)) #in volts\n", - "print \"The capacitor voltage = %0.2f V\" %vc\n", - "#this question is not solved in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The capacitor voltage = 0.16 V\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 1.20.1: page 1-52" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#Turn Off Time\n", - "#given data :\n", - "Vs=200 #in volts\n", - "R1=10 # in ohm\n", - "R2=R1 \n", - "C=5 # in micro-farad\n", - "Tc=(R1*C)/1.44 \n", - "print \"The Circuit Turn Off Time, Tc = %0.2f micro-sec\" %Tc" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "The Circuit Turn Off Time, Tc = 34.72 micro-sec\n" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 1.20.2: page 1-52" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#Peak Current and turn off time\n", - "#given data :\n", - "Vs=200 #in volts\n", - "R1=10 # in ohm\n", - "R2=R1 \n", - "Vc=200 #in volts\n", - "C=10 # in micro-farad\n", - "I1=Vs/R1 \n", - "I2=(Vs+Vc)/R2 \n", - "It1=I1+I2 \n", - "print \"Peak Current, It1 = %0.2f A \" %It1\n", - "Tc=(R1*C)/1.44 \n", - "print \"The Circuit Turn Off Time, Tc = %0.2f micro-sec \" %Tc" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Peak Current, It1 = 60.00 A \n", - "The Circuit Turn Off Time, Tc = 69.44 micro-sec \n" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 1.21.1: page 1-59" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from math import pi\n", - "#L and C\n", - "#given data :\n", - "V=100 # in volts\n", - "Irm=40 # in A\n", - "tq=40 # in micro-sec\n", - "Del_t=(50/100)*tq # in micro-sec\n", - "C=(Irm*(tq+Del_t))/V \n", - "print \"Capacitance, C = %0.f micro-farad \" %C\n", - "L_min=(V/Irm)**2*C \n", - "print \"Minimum inductance, L_min = %0.f micro-Henry\" %L_min\n", - "T=2.5 # assume one cycle period in ms\n", - "L_max=((0.01*(T*10**-3)**2)/(pi**2*C*10**-6))*10**6 \n", - "print \"Maximum inductance, L_max = %0.2f micro-Henry \" %L_max" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Capacitance, C = 24 micro-farad \n", - "Minimum inductance, L_min = 150 micro-Henry\n", - "Maximum inductance, L_max = 263.86 micro-Henry \n" - ] - } - ], - "prompt_number": 6 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter2.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter2.ipynb deleted file mode 100755 index 2d325e12..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter2.ipynb +++ /dev/null @@ -1,640 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:2fe1179f75aa385348ef5cec4f87809b650f5f51dbd7626f41d9c2f163f1cec2" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter2, Gate Triggering Circuits" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.6.1: page 2-24" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from numpy import log\n", - "#design\n", - "#given data :\n", - "c1=0.1 #in micro farads\n", - "vbb=30 #in volts\n", - "n=0.51 #\n", - "ip=10 #in micro amperes\n", - "vv=3.5 #in volts\n", - "iv=10 #in mA\n", - "f=50 #in Hz\n", - "w=50 #eifth in micro seconds\n", - "vd=0.7 #in volts\n", - "vp=n*vbb+vd #in volts\n", - "vc=vp #in volts\n", - "x=log(vv/(vp-vd)) #\n", - "r1=-(w*10**-6/(c1*10**-6*x)) #\n", - "T=(1/(f))*10**3 #in ms\n", - "t1=T-(w*10**-3) # in ms\n", - "r=((t1*10**-3)/(c1*10**-6*log(1/(1-n)))) #\n", - "r2=(10**4/(n*vbb)) #in ohms\n", - "print \"Resistance R1 = %0.f ohm\" %round(r1)\n", - "print \"Resistance R = %0.2f kohm\" %(r*10**-3)\n", - "print \"Resistance R2 = %0.1f ohm \" %r2" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Resistance R1 = 339 ohm\n", - "Resistance R = 279.67 kohm\n", - "Resistance R2 = 653.6 ohm \n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.1: page 2-33" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import exp\n", - "#current\n", - "#given data :\n", - "v=100 #in volts\n", - "r=20 #in ohms\n", - "t=50 #in micro seconds\n", - "l=0.5 #in henry\n", - "il=(v/r)*(1-exp(-t*10**-6*(r/l))) #\n", - "print \"load current = %0.f mA \"%(il*10**3)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "load current = 10 mA \n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.2: page 2-33" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import log\n", - "#MINIMUM WIDTH\n", - "#given data :\n", - "v=100 #in volts\n", - "r=20 #in ohms\n", - "l=0.5 #in henry\n", - "il=50 #in mA\n", - "t1=log(1-((il*10**-3)/(v/r)))/(-(r/l)) #\n", - "print \"minimum pulse width = %0.2f micro seconds \" %(t1*10**6)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "minimum pulse width = 251.26 micro seconds \n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.3: page 2-33" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import log\n", - "#MINIMUM WIDTH\n", - "#given data :\n", - "v=207 #in volts\n", - "r=10 #in ohms\n", - "l=1 #in henry\n", - "il=100 #in mA\n", - "t1=log(1-((il*10**-3)/(v/r)))/(-(r/l)) #\n", - "print \"minimum pulse width = %0.2f micro seconds\" %(t1*10**6)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "minimum pulse width = 484.26 micro seconds\n" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.4: page 2-34" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from sympy import symbols, solve\n", - "from numpy import round, float\n", - "#resistance and duty cycle\n", - "#given data :\n", - "vr=15 #in volts\n", - "t=20 #in micro seconds\n", - "pd=0.3 #power dissipation in watts\n", - "pgm=5 #peak power in watts\n", - "Ig=symbols('Ig')\n", - "Vg=1+10*Ig\n", - "exp = Vg*Ig-pgm # expression for equation\n", - "Ig = solve(exp, Ig) # solving equation for Ig\n", - "Ig=round(float(Ig[0]),3) # A\n", - "Vg=1+10*Ig # V\n", - "# Vr = Vg+Ig*Rg\n", - "Rg = (vr-Vg)/Ig\n", - "print \"(a) print Rg =\",round(Rg,3), \"ohm\"\n", - "d=(pd/pgm)*100 #duty cycle \n", - "print \"(b) duty cycle = %0.f %%\" %d\n", - "tt=(t)/(d/100) #in micro seconds\n", - "f=(1/(tt*10**-3)) #triggering frequency in kHz\n", - "print \"(c) triggering frequency = %0.f kHz\" %f" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "(a) print Rg = 11.244 ohm\n", - "(b) duty cycle = 6 %\n", - "(c) triggering frequency = 3 kHz\n" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.5: page 2-35" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#resistance\n", - "#given data :\n", - "vg=15.0 #in volys\n", - "vgk=0.7 #in volts\n", - "pg=0.5 # in watts\n", - "ig=pg/vgk #in amperes\n", - "rg=(vg-vgk)/ig #in ohms\n", - "print \"gate source resistance = %0.f ohm \" %rg" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "gate source resistance = 20 ohm \n" - ] - } - ], - "prompt_number": 6 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.6: page 2-35" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import log\n", - "#resistance ,frequency\n", - "#given data :\n", - "li=3.7 #leakage current in mA\n", - "c1=0.1 #in micro farads\n", - "vp=16 #in volts\n", - "vv=1 #in volts\n", - "n=0.7 #\n", - "ip=0.7 #in milli amperes\n", - "iv=6 #in mA\n", - "f=1000 #in Hz\n", - "rb1=5.5 #in killo ohms\n", - "t=(1/f)*10**3 #in ms\n", - "tg=50 #in micro seconds\n", - "r2=((tg*10**-6/(c1*10**-6))) # in ohms\n", - "r1=500 #in ohms assume\n", - "vs=(r1+(rb1*10**3)+r2)*(li*10**-3) #in volts\n", - "r=((t*10**-3)/(c1*10**-6*log(1/(1-n))))*10**-3 #in killo ohms\n", - "rmin=(vs-vv)/iv #minimum resistance in killo ohms\n", - "rmax=(vs-vp)/ip #maxium resistance in killo ohms\n", - "fmin=(1/(rmax*10**3*c1*10**-6*log(1/(1-n)))) #minimum frequency in Hz\n", - "fmax=(1/(rmin*10**3*c1*10**-6*log(1/(1-n))))*10**-3 #minimum frequency in Hz\n", - "print \"Voltage = %0.f V \"%vs\n", - "print \"charging resistance = %0.3f kohm \" %r\n", - "print \"minimum resistance = %0.3f kohm\" %rmin\n", - "print \"maximum resistance = %0.3f kohm\"%rmax\n", - "print \"minimum frequency = %0.1f Hz\" %fmin\n", - "print \"maximum frequency = %0.3f kHz\" %fmax\n", - "#mimimum frequency is calculated wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Voltage = 24 V \n", - "charging resistance = 8.306 kohm \n", - "minimum resistance = 3.842 kohm\n", - "maximum resistance = 11.500 kohm\n", - "minimum frequency = 722.2 Hz\n", - "maximum frequency = 2.162 kHz\n" - ] - } - ], - "prompt_number": 7 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.7: page 2-37" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#resistance\n", - "#given data :\n", - "il=50 #in mA\n", - "pw=50 #pulse width in micro seconds\n", - "i=10 #in mA\n", - "v=100 #in volts\n", - "if1=50 #in mA\n", - "rmax=(v/(if1-i)) #maximum resistance in killo ohms\n", - "print \"maximum resistance = %0.1f kohm\"%rmax" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "maximum resistance = 2.5 kohm\n" - ] - } - ], - "prompt_number": 8 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.8: page 2-38" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#resistance and gate power dissipation and frequency\n", - "#given data :\n", - "g=16 #in volts/ampere\n", - "vr=15 #in volts\n", - "t=4 #in micro seconds\n", - "ig=500 #in mA\n", - "rg=(vr/(ig*10**-3))-g #resistance in ohms\n", - "print \"part (a) : \"\n", - "print \"resistance in series with SCR gate = %0.f ohm\" %rg\n", - "ig=500 #in mA\n", - "rg=(vr/(ig*10**-3))-g #resistance in ohms\n", - "pg=(ig*10**-3)**2*(g) #\n", - "print \"part (b) : \"\n", - "print \"gate power dissipation = %0.f Watt\" %pg\n", - "ogv=0.3 #in watts\n", - "d=(ogv/pg)*100 #\n", - "t1=(t)/(d/100) #in micro seconds\n", - "f1=(1/(t1*10**-3)) #frequency in kHz \n", - "print \"part (c) : \"\n", - "print \"triggering frequency = %0.2f kHz\" %f1" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a) : \n", - "resistance in series with SCR gate = 14 ohm\n", - "part (b) : \n", - "gate power dissipation = 4 Watt\n", - "part (c) : \n", - "triggering frequency = 18.75 kHz\n" - ] - } - ], - "prompt_number": 9 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.9: page 2-39" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from sympy import symbols, solve\n", - "from numpy import round\n", - "#series resistance and power dissipation\n", - "#given data :\n", - "vr=12.0 #in volts\n", - "t=50.0 #in micro seconds\n", - "d=0.2 #duty cycle\n", - "pd=5.0 #power dissipation in watts\n", - "Ig=symbols('Ig')\n", - "p=-5+1.5*Ig+8*Ig**2 #\n", - "x=solve(p, Ig) #\n", - "rg=(vr-(1.5+8*x[1]))/(x[1]) #resistance in ohms\n", - "pg=d*pd #average power loss in watts\n", - "print \"resistance Rg = %.f ohm\"%rg\n", - "print \"average power loss = %0.f Watt\" %pg" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "resistance Rg = 7 ohm\n", - "average power loss = 1 Watt\n" - ] - } - ], - "prompt_number": 10 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.10: page 2-40" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import log\n", - "#design\n", - "#given data :\n", - "vs=20.0 #in volts\n", - "c1=0.1 #in micro farads\n", - "vv=2.5 #in volts\n", - "n=0.66 #\n", - "ip=10.0 #in micro amperes\n", - "iv=10.0 #in mA\n", - "f=1.0 #in KHz\n", - "tg=40.0 #in micro seconds\n", - "vd=0.8 #in volts\n", - "vp=(n*vs+vd) #in volts\n", - "r1=((tg*10**-6/(c1*10**-6))) # in ohms\n", - "r=((1)/(f*10**3*c1*10**-6*log(1/(1-n))))*10**-3 #in killo ohms\n", - "rmin=(vs-vv)/iv #minimum resistance in killo ohms\n", - "rmax=(vs-vp)/ip #maxium resistance in killo ohms\n", - "r2=10**4/(n*vs) #in ohms\n", - "print \"Vp = %0.f Volts\" %vp\n", - "print \"R1 = %0.f ohm\" %r1\n", - "print \"R = %0.3f kohm\" %r\n", - "print \"minimum resistance = %0.2f kohm\" %rmin\n", - "print \"maximum resistance = %0.f kohm\" %(rmax*10**3)\n", - "print \"R2 = %0.f ohm\" %round(r2)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Vp = 14 Volts\n", - "R1 = 400 ohm\n", - "R = 9.269 kohm\n", - "minimum resistance = 1.75 kohm\n", - "maximum resistance = 600 kohm\n", - "R2 = 758 ohm\n" - ] - } - ], - "prompt_number": 11 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.11: page 2-41" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from math import sqrt, degrees, asin\n", - "#trigger angle\n", - "#given data :\n", - "vm=120*sqrt(2) #in volts\n", - "vrb=0.7 #in volts\n", - "rb=500 #in ohms\n", - "rl=1000 #in ohms\n", - "rmin=1000 #in ohms\n", - "r=4000 #in ohms\n", - "alpha=degrees(asin((0.7*(rl+rmin+r+rb))/(rb*vm))) #in degree\n", - "print \"triggering angle = %0.2f degree \"%alpha" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "triggering angle = 3.07 degree \n" - ] - } - ], - "prompt_number": 12 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.12: page 2-41" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#pulse width\n", - "#given data :\n", - "v=200 #in volts\n", - "il=100 #latch current in mA\n", - "l=0.2 #inductance in henry\n", - "dit=v/l #in amp/sec\n", - "dt=(il*10**-3)/dit #in seconds\n", - "print \"(a) minimum pulse width required to turn on the SCR = %0.f micro seconds\" %(dt*10**6)\n", - "r=20 #in ohms\n", - "x=(il*10**-3*r)/v #\n", - "t=(log(1-x))*(-l/r) #\n", - "print \"(b) minimum pulse width = %0.f micro seconds\"%(round(t*10**6))\n", - "#part b answer is calculated wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "(a) minimum pulse width required to turn on the SCR = 100 micro seconds\n", - "(b) minimum pulse width = 101 micro seconds\n" - ] - } - ], - "prompt_number": 13 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.13: 2-43" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from numpy import log\n", - "#design\n", - "vs=30 #in volts\n", - "n=0.51 #\n", - "vd=0.7 #in volts\n", - "vp=(n*vs+vd) #in volts\n", - "c=0.1 #in micro farads(taken for design)\n", - "vv=3.5 #in volts\n", - "x=log(vv/(vp-vd)) #\n", - "t2=50 #in micro seconds\n", - "r3=-((t2*10**-6)/(x*c*10**-6)) #in ohms\n", - "f=50 #in Hz\n", - "t=(1/f)*10**3 #in ms\n", - "t1=(t-(t2*10**-6)) #inms\n", - "x1=log(1-((vp-vv)/(vs))) #\n", - "y1=(-t1*10**-3)/(c*10**-6) #\n", - "r1=y1/x1 #in ohms\n", - "r2=(10**4)/(n*vs) #in ohms\n", - "print \"R1 = %0.3f ohm\" %(r1*10**-3)\n", - "print \"R2 = %0.1f ohm\" %r2\n", - "print \"R3 = %0.f ohm\" %(round(r3))\n", - "print \"capaictance = %0.1f micro Farad/40 V\"%c\n", - "#R3 is wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "R1 = 371.059 ohm\n", - "R2 = 653.6 ohm\n", - "R3 = 339 ohm\n", - "capaictance = 0.1 micro Farad/40 V\n" - ] - } - ], - "prompt_number": 14 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter2_1.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter2_1.ipynb deleted file mode 100755 index 2d325e12..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter2_1.ipynb +++ /dev/null @@ -1,640 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:2fe1179f75aa385348ef5cec4f87809b650f5f51dbd7626f41d9c2f163f1cec2" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter2, Gate Triggering Circuits" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.6.1: page 2-24" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from numpy import log\n", - "#design\n", - "#given data :\n", - "c1=0.1 #in micro farads\n", - "vbb=30 #in volts\n", - "n=0.51 #\n", - "ip=10 #in micro amperes\n", - "vv=3.5 #in volts\n", - "iv=10 #in mA\n", - "f=50 #in Hz\n", - "w=50 #eifth in micro seconds\n", - "vd=0.7 #in volts\n", - "vp=n*vbb+vd #in volts\n", - "vc=vp #in volts\n", - "x=log(vv/(vp-vd)) #\n", - "r1=-(w*10**-6/(c1*10**-6*x)) #\n", - "T=(1/(f))*10**3 #in ms\n", - "t1=T-(w*10**-3) # in ms\n", - "r=((t1*10**-3)/(c1*10**-6*log(1/(1-n)))) #\n", - "r2=(10**4/(n*vbb)) #in ohms\n", - "print \"Resistance R1 = %0.f ohm\" %round(r1)\n", - "print \"Resistance R = %0.2f kohm\" %(r*10**-3)\n", - "print \"Resistance R2 = %0.1f ohm \" %r2" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Resistance R1 = 339 ohm\n", - "Resistance R = 279.67 kohm\n", - "Resistance R2 = 653.6 ohm \n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.1: page 2-33" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import exp\n", - "#current\n", - "#given data :\n", - "v=100 #in volts\n", - "r=20 #in ohms\n", - "t=50 #in micro seconds\n", - "l=0.5 #in henry\n", - "il=(v/r)*(1-exp(-t*10**-6*(r/l))) #\n", - "print \"load current = %0.f mA \"%(il*10**3)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "load current = 10 mA \n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.2: page 2-33" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import log\n", - "#MINIMUM WIDTH\n", - "#given data :\n", - "v=100 #in volts\n", - "r=20 #in ohms\n", - "l=0.5 #in henry\n", - "il=50 #in mA\n", - "t1=log(1-((il*10**-3)/(v/r)))/(-(r/l)) #\n", - "print \"minimum pulse width = %0.2f micro seconds \" %(t1*10**6)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "minimum pulse width = 251.26 micro seconds \n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.3: page 2-33" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import log\n", - "#MINIMUM WIDTH\n", - "#given data :\n", - "v=207 #in volts\n", - "r=10 #in ohms\n", - "l=1 #in henry\n", - "il=100 #in mA\n", - "t1=log(1-((il*10**-3)/(v/r)))/(-(r/l)) #\n", - "print \"minimum pulse width = %0.2f micro seconds\" %(t1*10**6)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "minimum pulse width = 484.26 micro seconds\n" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.4: page 2-34" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from sympy import symbols, solve\n", - "from numpy import round, float\n", - "#resistance and duty cycle\n", - "#given data :\n", - "vr=15 #in volts\n", - "t=20 #in micro seconds\n", - "pd=0.3 #power dissipation in watts\n", - "pgm=5 #peak power in watts\n", - "Ig=symbols('Ig')\n", - "Vg=1+10*Ig\n", - "exp = Vg*Ig-pgm # expression for equation\n", - "Ig = solve(exp, Ig) # solving equation for Ig\n", - "Ig=round(float(Ig[0]),3) # A\n", - "Vg=1+10*Ig # V\n", - "# Vr = Vg+Ig*Rg\n", - "Rg = (vr-Vg)/Ig\n", - "print \"(a) print Rg =\",round(Rg,3), \"ohm\"\n", - "d=(pd/pgm)*100 #duty cycle \n", - "print \"(b) duty cycle = %0.f %%\" %d\n", - "tt=(t)/(d/100) #in micro seconds\n", - "f=(1/(tt*10**-3)) #triggering frequency in kHz\n", - "print \"(c) triggering frequency = %0.f kHz\" %f" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "(a) print Rg = 11.244 ohm\n", - "(b) duty cycle = 6 %\n", - "(c) triggering frequency = 3 kHz\n" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.5: page 2-35" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#resistance\n", - "#given data :\n", - "vg=15.0 #in volys\n", - "vgk=0.7 #in volts\n", - "pg=0.5 # in watts\n", - "ig=pg/vgk #in amperes\n", - "rg=(vg-vgk)/ig #in ohms\n", - "print \"gate source resistance = %0.f ohm \" %rg" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "gate source resistance = 20 ohm \n" - ] - } - ], - "prompt_number": 6 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.6: page 2-35" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import log\n", - "#resistance ,frequency\n", - "#given data :\n", - "li=3.7 #leakage current in mA\n", - "c1=0.1 #in micro farads\n", - "vp=16 #in volts\n", - "vv=1 #in volts\n", - "n=0.7 #\n", - "ip=0.7 #in milli amperes\n", - "iv=6 #in mA\n", - "f=1000 #in Hz\n", - "rb1=5.5 #in killo ohms\n", - "t=(1/f)*10**3 #in ms\n", - "tg=50 #in micro seconds\n", - "r2=((tg*10**-6/(c1*10**-6))) # in ohms\n", - "r1=500 #in ohms assume\n", - "vs=(r1+(rb1*10**3)+r2)*(li*10**-3) #in volts\n", - "r=((t*10**-3)/(c1*10**-6*log(1/(1-n))))*10**-3 #in killo ohms\n", - "rmin=(vs-vv)/iv #minimum resistance in killo ohms\n", - "rmax=(vs-vp)/ip #maxium resistance in killo ohms\n", - "fmin=(1/(rmax*10**3*c1*10**-6*log(1/(1-n)))) #minimum frequency in Hz\n", - "fmax=(1/(rmin*10**3*c1*10**-6*log(1/(1-n))))*10**-3 #minimum frequency in Hz\n", - "print \"Voltage = %0.f V \"%vs\n", - "print \"charging resistance = %0.3f kohm \" %r\n", - "print \"minimum resistance = %0.3f kohm\" %rmin\n", - "print \"maximum resistance = %0.3f kohm\"%rmax\n", - "print \"minimum frequency = %0.1f Hz\" %fmin\n", - "print \"maximum frequency = %0.3f kHz\" %fmax\n", - "#mimimum frequency is calculated wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Voltage = 24 V \n", - "charging resistance = 8.306 kohm \n", - "minimum resistance = 3.842 kohm\n", - "maximum resistance = 11.500 kohm\n", - "minimum frequency = 722.2 Hz\n", - "maximum frequency = 2.162 kHz\n" - ] - } - ], - "prompt_number": 7 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.7: page 2-37" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#resistance\n", - "#given data :\n", - "il=50 #in mA\n", - "pw=50 #pulse width in micro seconds\n", - "i=10 #in mA\n", - "v=100 #in volts\n", - "if1=50 #in mA\n", - "rmax=(v/(if1-i)) #maximum resistance in killo ohms\n", - "print \"maximum resistance = %0.1f kohm\"%rmax" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "maximum resistance = 2.5 kohm\n" - ] - } - ], - "prompt_number": 8 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.8: page 2-38" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#resistance and gate power dissipation and frequency\n", - "#given data :\n", - "g=16 #in volts/ampere\n", - "vr=15 #in volts\n", - "t=4 #in micro seconds\n", - "ig=500 #in mA\n", - "rg=(vr/(ig*10**-3))-g #resistance in ohms\n", - "print \"part (a) : \"\n", - "print \"resistance in series with SCR gate = %0.f ohm\" %rg\n", - "ig=500 #in mA\n", - "rg=(vr/(ig*10**-3))-g #resistance in ohms\n", - "pg=(ig*10**-3)**2*(g) #\n", - "print \"part (b) : \"\n", - "print \"gate power dissipation = %0.f Watt\" %pg\n", - "ogv=0.3 #in watts\n", - "d=(ogv/pg)*100 #\n", - "t1=(t)/(d/100) #in micro seconds\n", - "f1=(1/(t1*10**-3)) #frequency in kHz \n", - "print \"part (c) : \"\n", - "print \"triggering frequency = %0.2f kHz\" %f1" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a) : \n", - "resistance in series with SCR gate = 14 ohm\n", - "part (b) : \n", - "gate power dissipation = 4 Watt\n", - "part (c) : \n", - "triggering frequency = 18.75 kHz\n" - ] - } - ], - "prompt_number": 9 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.9: page 2-39" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from sympy import symbols, solve\n", - "from numpy import round\n", - "#series resistance and power dissipation\n", - "#given data :\n", - "vr=12.0 #in volts\n", - "t=50.0 #in micro seconds\n", - "d=0.2 #duty cycle\n", - "pd=5.0 #power dissipation in watts\n", - "Ig=symbols('Ig')\n", - "p=-5+1.5*Ig+8*Ig**2 #\n", - "x=solve(p, Ig) #\n", - "rg=(vr-(1.5+8*x[1]))/(x[1]) #resistance in ohms\n", - "pg=d*pd #average power loss in watts\n", - "print \"resistance Rg = %.f ohm\"%rg\n", - "print \"average power loss = %0.f Watt\" %pg" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "resistance Rg = 7 ohm\n", - "average power loss = 1 Watt\n" - ] - } - ], - "prompt_number": 10 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.10: page 2-40" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import log\n", - "#design\n", - "#given data :\n", - "vs=20.0 #in volts\n", - "c1=0.1 #in micro farads\n", - "vv=2.5 #in volts\n", - "n=0.66 #\n", - "ip=10.0 #in micro amperes\n", - "iv=10.0 #in mA\n", - "f=1.0 #in KHz\n", - "tg=40.0 #in micro seconds\n", - "vd=0.8 #in volts\n", - "vp=(n*vs+vd) #in volts\n", - "r1=((tg*10**-6/(c1*10**-6))) # in ohms\n", - "r=((1)/(f*10**3*c1*10**-6*log(1/(1-n))))*10**-3 #in killo ohms\n", - "rmin=(vs-vv)/iv #minimum resistance in killo ohms\n", - "rmax=(vs-vp)/ip #maxium resistance in killo ohms\n", - "r2=10**4/(n*vs) #in ohms\n", - "print \"Vp = %0.f Volts\" %vp\n", - "print \"R1 = %0.f ohm\" %r1\n", - "print \"R = %0.3f kohm\" %r\n", - "print \"minimum resistance = %0.2f kohm\" %rmin\n", - "print \"maximum resistance = %0.f kohm\" %(rmax*10**3)\n", - "print \"R2 = %0.f ohm\" %round(r2)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Vp = 14 Volts\n", - "R1 = 400 ohm\n", - "R = 9.269 kohm\n", - "minimum resistance = 1.75 kohm\n", - "maximum resistance = 600 kohm\n", - "R2 = 758 ohm\n" - ] - } - ], - "prompt_number": 11 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.11: page 2-41" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from math import sqrt, degrees, asin\n", - "#trigger angle\n", - "#given data :\n", - "vm=120*sqrt(2) #in volts\n", - "vrb=0.7 #in volts\n", - "rb=500 #in ohms\n", - "rl=1000 #in ohms\n", - "rmin=1000 #in ohms\n", - "r=4000 #in ohms\n", - "alpha=degrees(asin((0.7*(rl+rmin+r+rb))/(rb*vm))) #in degree\n", - "print \"triggering angle = %0.2f degree \"%alpha" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "triggering angle = 3.07 degree \n" - ] - } - ], - "prompt_number": 12 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.12: page 2-41" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#pulse width\n", - "#given data :\n", - "v=200 #in volts\n", - "il=100 #latch current in mA\n", - "l=0.2 #inductance in henry\n", - "dit=v/l #in amp/sec\n", - "dt=(il*10**-3)/dit #in seconds\n", - "print \"(a) minimum pulse width required to turn on the SCR = %0.f micro seconds\" %(dt*10**6)\n", - "r=20 #in ohms\n", - "x=(il*10**-3*r)/v #\n", - "t=(log(1-x))*(-l/r) #\n", - "print \"(b) minimum pulse width = %0.f micro seconds\"%(round(t*10**6))\n", - "#part b answer is calculated wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "(a) minimum pulse width required to turn on the SCR = 100 micro seconds\n", - "(b) minimum pulse width = 101 micro seconds\n" - ] - } - ], - "prompt_number": 13 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 2.7.13: 2-43" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from numpy import log\n", - "#design\n", - "vs=30 #in volts\n", - "n=0.51 #\n", - "vd=0.7 #in volts\n", - "vp=(n*vs+vd) #in volts\n", - "c=0.1 #in micro farads(taken for design)\n", - "vv=3.5 #in volts\n", - "x=log(vv/(vp-vd)) #\n", - "t2=50 #in micro seconds\n", - "r3=-((t2*10**-6)/(x*c*10**-6)) #in ohms\n", - "f=50 #in Hz\n", - "t=(1/f)*10**3 #in ms\n", - "t1=(t-(t2*10**-6)) #inms\n", - "x1=log(1-((vp-vv)/(vs))) #\n", - "y1=(-t1*10**-3)/(c*10**-6) #\n", - "r1=y1/x1 #in ohms\n", - "r2=(10**4)/(n*vs) #in ohms\n", - "print \"R1 = %0.3f ohm\" %(r1*10**-3)\n", - "print \"R2 = %0.1f ohm\" %r2\n", - "print \"R3 = %0.f ohm\" %(round(r3))\n", - "print \"capaictance = %0.1f micro Farad/40 V\"%c\n", - "#R3 is wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "R1 = 371.059 ohm\n", - "R2 = 653.6 ohm\n", - "R3 = 339 ohm\n", - "capaictance = 0.1 micro Farad/40 V\n" - ] - } - ], - "prompt_number": 14 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter3.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter3.ipynb deleted file mode 100755 index a07f7460..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter3.ipynb +++ /dev/null @@ -1,522 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:86191a5ead11f6d89d35b179bef2e551a162454413febb874f54db9641e75871" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter3, Single Phase Controlled Rectifiers" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.3.1: page 3-11" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from sympy import symbols, simplify\n", - "from math import pi, sin, cos, sqrt\n", - "#form factor,ripple factor ,transformation utilization factor and peak inverse voltage\n", - "Vm=1 #assume\n", - "R=1 #assume\n", - "alfa = pi/3 # radian\n", - "Vm = symbols('Vm', real = True)\n", - "Vldc = Vm/2/pi*(1+cos(alfa))\n", - "Vlrms = Vm*sqrt(1/4/pi*(pi-pi/3)+1/4/pi*sin(2*pi/3))\n", - "ff=Vlrms/Vldc\n", - "print \"part (a):\"\n", - "print \"form factor is\",round(ff,3),\"or\",round(ff*100,1),\"%\"\n", - "#form factor is calculated wrong in the textbook\n", - "print \"part (b)\"\n", - "rf=sqrt(ff**2-1) #\n", - "print \"ripple factor is\",round(rf,2),\"or\",round(rf*100),\"%\"\n", - "#ripple factor is calculated wrong in the textbook\n", - "Vs=Vm/(sqrt(2)) #rms secondary voltage\n", - "Is=Vlrms/R #\n", - "TUF=((Vldc**2)/R)/(Vs*Is) #\n", - "print \"part (c)\"\n", - "print \"transformation utilization factor is\",round(TUF,3),\"or\",round(TUF*100,1),\"%\"\n", - "#transformation utilization factor is calculated wrong in the textbook\n", - "R=1 #assume\n", - "Vm=1 #assume\n", - "print \"part (d)\"\n", - "print \"PIV=Vm\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a):\n", - "form factor is 2.033 or 203.3 %\n", - "part (b)\n", - "ripple factor is 1.77 or 177.0 %\n", - "part (c)\n", - "transformation utilization factor is 0.166 or 16.6 %\n", - "part (d)\n", - "PIV=Vm\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.4.1: page 3-25" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "% matplotlib inline\n", - "from numpy import array, sqrt, pi, nditer, cos, sin\n", - "#plot the variation\n", - "vsrms=230 #volts\n", - "vm=sqrt(2)*vsrms #volts\n", - "alpha=array([0,30, 60, 90, 120, 150, 180]) #degree\n", - "x=array([0,(30*(pi/180)),(60*(pi/180)),(90*(pi/180)),(120*(pi/180)),(150*(pi/180)),(180*(pi/180))])\n", - "\n", - "def cur(alpha,x):\n", - " it = nditer([alpha,x,None, None])\n", - " for a,b,c,d in it:\n", - " c[...]=(vm/pi)*(1+cos(a*pi/180)) #\n", - " d[...]=vsrms*((1/pi)*(pi-b+(sin(2*b))/2))**(1/2) \n", - " return it.operands\n", - "vldc = cur(alpha,x)[2]\n", - "vlms = cur(alpha,x)[3]\n", - "from matplotlib.pyplot import subplot, xlabel, ylabel, title, plot, ylim, show\n", - "%matplotlib inline\n", - "subplot(1,3,1)\n", - "xlabel(\"alpha\") #\n", - "ylabel(\"Vldc\") #\n", - "title('(a) Variation of average load voltage')\n", - "plot(alpha,vldc) #\n", - "subplot(1,3,3)\n", - "xlabel(\"alpha\") #\n", - "xlabel(\"Vlrms\") #\n", - "title('(b) Variation of RMS load voltage')\n", - "plot(alpha,vlms) #\n", - "ylim(40,250)\n", - "show()" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stderr", - "text": [ - "-c:14: RuntimeWarning: invalid value encountered in double_scalars\n" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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Fe3ti2vcQDip5kLA8Phafyp2+0dr3VC35+e2EreNFhDX9a4AfxHlF7GbdnNa7/W4mrMw9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\nm25mm8XX7Ghmj8YRFh5JXNpLRNrvZuC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- "text": [ - "<matplotlib.figure.Figure at 0x7f1219c765d0>" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.4.5: page 3-38" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from math import pi, sqrt, degrees, acos\n", - "from numpy import arange\n", - "#delay angle,rms , averae output current ,average and rms thyristor current\n", - "Vrms=120 #RMS VOLTAGE \n", - "R=10 #in ohms\n", - "Vldc= (0.25*(2*sqrt(2)*Vrms))/pi #in volts\n", - "csd= (Vldc*pi)/(sqrt(2)*Vrms) #\n", - "alpha= degrees(acos(csd-1)) #\n", - "print \"part (a)\"\n", - "print \"delay angle = %0.2f degree\" %alpha\n", - "Vrms=120 #RMS VOLTAGE \n", - "Vm=sqrt(2)*Vrms #assume\n", - "t=arange(2*pi/3,pi,0.1) \n", - "Vlms=((Vm/(sqrt(2)))*(((1/pi)*((pi-(2*pi)/3)+sin(4*pi/6*pi/180))))**(1/2)) \n", - "Vldc= (0.25*(2*sqrt(2)*Vrms))/pi #in volts\n", - "Ildc=Vldc/R #average load current in ampere\n", - "Ilms=Vlms/R # rms load current in ampere\n", - "print \"part (b)\"\n", - "print \"rms load current = %0.2f A\" %Ilms\n", - "print \"average load current = %0.2f A\" %Ildc\n", - "#rms load current is calculated wrong in the textbook\n", - "Im=Vm/R #\n", - "from sympy.mpmath import quad, sin\n", - "f1 = lambda omega_t : Im*sin(omega_t)\n", - "Ith = (1/(2*pi)*(quad(f1,[alpha*pi/180,pi]))) # A (calculating integration)\n", - "f2 = lambda omega_t : (Im*sin(omega_t))**2\n", - "Ithrms = sqrt(1/(2*pi)*(quad(f2,[alpha*pi/180,pi]))) # A (calculating integration)\n", - "print \"part (c)\"\n", - "print \"average thyristor current = %0.2f A\" %Ith\n", - "print \"rms thyristor current = %0.2f A\" %Ithrms" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "delay angle = 120.00 degree\n", - "part (b)\n", - "rms load current = 7.05 A\n", - "average load current = 2.70 A\n", - "part (c)" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - "average thyristor current = 1.35 A\n", - "rms thyristor current = 3.75 A\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.6.1: page 3-69 " - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#average load voltage,rms load voltage,average and rms load currents ,form factor and ripple factor\n", - "R=10 #IN OHMS\n", - "r=10 #IN OHMS\n", - "Vi=230 #in volts\n", - "alpha=60 #fiirng angle in degree \n", - "Vm=Vi*sqrt(2) #in voltas\n", - "Vldc=((Vm)/pi)*(1+cos(alpha*pi/180)) #average load voltgae\n", - "print \"part (a)\"\n", - "print \"average load voltage = %0.2f Volts\" %Vldc\n", - "print \"part (b)\"\n", - "r=10 #IN OHMS\n", - "Vi=230 #in volts\n", - "alpha=60 #fiirng angle in degree \n", - "Vm=Vi*sqrt(2) #in voltas\n", - "Vlms=((Vm/(sqrt(2)))*(((pi-pi/3)+(sin(2*pi/3*pi/180))/2)/pi)**(1/2)) #\n", - "print \"rms load voltage = %0.2f V\" %Vlms\n", - "#rms voltage is calculated wrong in the textbook\n", - "print \"part (c)\"\n", - "Ildc=Vldc/R # in amperes\n", - "Irms=Vlms/R # in amperes\n", - "print \"rms load current = %0.2f A\" %Irms\n", - "print \"average load current = %0.2f A\" %Ildc\n", - "#rms load current is wrong in the textbook\n", - "print \"part (d)\"\n", - "ff=Vlms/Vldc \n", - "print \"form factor is =\",round(ff,2),\"or\",round(ff*100,2),\"%\"\n", - "rf=sqrt(ff**2-1) #\n", - "print \"ripple factor =\",round(rf,2),\"or\",round(rf*100,2),\"%\"\n", - "#form factor and ripple factor is calculated wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "average load voltage = 155.30 Volts\n", - "part (b)\n", - "rms load voltage = 188.61 V\n", - "part (c)\n", - "rms load current = 18.86 A\n", - "average load current = 15.53 A\n", - "part (d)\n", - "form factor is = 1.21 or 121.45 %\n", - "ripple factor = 0.69 or 68.91 %\n" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.7.1: page 3-72" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import array, nditer, sqrt, pi, cos\n", - "from __future__ import division\n", - "#device ratings\n", - "Io=25 #in amperes\n", - "Vsrms=120 # in colts\n", - "Vm=sqrt(2)*Vsrms # in volts\n", - "alpha=array([0,60,90,135,180])\n", - "\n", - "def volt(alpha):\n", - " it = nditer([alpha, None])\n", - " for a,b in it:\n", - " \n", - " b[...]=Vm/pi*(1+cos(a*pi/180))\n", - " return it.operands[1]\n", - "vldc = volt(alpha)\n", - "print \"alpha : \",\n", - "for a in nditer([alpha]):\n", - " print a,'\\t',\n", - "print \"\"\n", - "\n", - "print \"VLdc(V) : \",\n", - "for a in nditer([vldc]):\n", - " print a,'\\t',\n", - "print \"\"\n", - "\n", - "PIV=Vm #peak inverse voltage\n", - "Iascr=Io/2 #scr average currentin ampere\n", - "Iadod=Io #average diode current in amperes\n", - "Ipscr=Iascr #peak current rating for SCR in amperes\n", - "Ipdod=Iadod #peak current rating for diode in amperes\n", - "print \"scr average current = %0.2f A\" %Iascr\n", - "print \"Average diode current = %0.2f A\" %Iadod\n", - "print \"Peak current rating for SCR = %0.2f A\" %Ipscr\n", - "print \"Peak current rating for diode = %0.2f A\" %Ipdod" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "alpha : 0 \t60 \t90 \t135 \t180 \t\n", - "VLdc(V) : 108 \t81 \t54 \t15 \t0 \t\n", - "scr average current = 12.50 A\n", - "Average diode current = 25.00 A\n", - "Peak current rating for SCR = 12.50 A\n", - "Peak current rating for diode = 25.00 A\n" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.7.2: page 3-73" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import sin\n", - "#Vldc,Vn,Vlrms,HF,DF and PF\n", - "Vsrms=120 #in volts\n", - "alpha=pi/2 #\n", - "vm=sqrt(2)*Vsrms #\n", - "vldc=((sqrt(2)*Vsrms)/(pi))*(1+cos(alpha)) #in volts\n", - "vldcm=(2*vm)/(pi) #in volts\n", - "vn=vldc/vldcm #normalised average output voltage in volts\n", - "x=((1/pi)*((pi-alpha)+(sin((2*alpha)))/2))**(1/2) #\n", - "vlrms=((vm/sqrt(2))*x) #RMS load voltage in volts\n", - "Io=1 #assume\n", - "Isrms=Io*(1-(alpha/pi))**(1/2) #in amperes\n", - "Is1rms=((2*sqrt(2))*Io*cos(alpha/2))/(pi) #in amperes\n", - "HF=((Isrms/Is1rms)**2-1)**(1/2) #Harmonic Fator is\n", - "DF=cos(alpha/2) #Displacement factor\n", - "PF=(Is1rms/Isrms)*(DF) #power factor\n", - "print \"average output voltage, Vldc = %0.2f V\" %round(vldc)\n", - "print \"Normalised average output voltage, Vn = %0.2f V\" %vn\n", - "print \"RMS load voltage, Vlrms = %0.2f V\" %vlrms\n", - "print \"Harmonic factor, HF = %0.2f %%\" %(HF*100)\n", - "print \"Displacement factor, DF = %0.2f %%\" %(DF*100)\n", - "print \"Power factor, PF = %0.4f lagging\" %PF" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "average output voltage, Vldc = 54.00 V\n", - "Normalised average output voltage, Vn = 0.50 V\n", - "RMS load voltage, Vlrms = 84.85 V\n", - "Harmonic factor, HF = 48.34 %\n", - "Displacement factor, DF = 70.71 %\n", - "Power factor, PF = 0.6366 lagging\n" - ] - } - ], - "prompt_number": 6 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.7.5: page 3-77" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import degrees, acos\n", - "#alpha\n", - "print \"part (a)\"\n", - "vc=135 #in volts\n", - "vs=220 #in vlts\n", - "rl=0.5 #in ohms\n", - "io=10 #in ampeeres\n", - "vm=sqrt(2)*vs #\n", - "vldc=io*rl+vc #\n", - "alpha=degrees(acos((vldc*pi)/(2*vm))) #\n", - "print \"alpha = %0.f degree \"%alpha\n", - "print \"part (b)\"\n", - "vc=145 #in volts\n", - "vs=220 #in vlts\n", - "rl=0.5 #in ohms\n", - "io=10 #in ampeeres\n", - "vm=sqrt(2)*vs #\n", - "vldc=io*rl-vc #\n", - "alpha=degrees(acos((vldc*pi)/(2*vm))) #\n", - "print \"alpha = %0.f degree \"%(alpha)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "alpha = 45 degree \n", - "part (b)\n", - "alpha = 135 degree \n" - ] - } - ], - "prompt_number": 7 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.7.6: page 3-79" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#average output voltage,supply rms current ,\n", - "#supply fundamental current current,displacement factor,supply factor and supply harmonic factor\n", - "Vsrms=220 #in volts\n", - "alpha=pi/3 #\n", - "vm=sqrt(2)*Vsrms #\n", - "vldc=((2*vm)/(pi))*(cos(alpha)) #in volts\n", - "vldcm=(2*vm)/(pi) #in volts\n", - "vn=vldc/vldcm #normalised average output voltage in volts\n", - "x=((1/pi)*((pi-alpha)+(sin((2*alpha)))/2))**(1/2) #\n", - "vlrms=((vm/sqrt(2))*x) #RMS load voltage in volts\n", - "Io=1 #assume\n", - "Isrms=Io*(1-(alpha/pi))**(1/2) #in amperes\n", - "Is1rms=((2*sqrt(2))*Io*cos(alpha/2))/(pi) #in amperes\n", - "HF=((Isrms/Is1rms)**2-1)**(1/2) #Harmonic Fator is\n", - "DF=cos(alpha/2) #Displacement factor\n", - "PF=(Is1rms/Isrms)*(DF) #power factor\n", - "print \"part (a)\"\n", - "print \"average output voltage, Vldc = %0.2f V\" %round(vldc)\n", - "print \"part (b)\"\n", - "print \"due to exact 50% duty cycle the rms value of supply current Isrms=Io\"\n", - "Io=1 #assume\n", - "Isrms=Io #in amperes\n", - "Is1rms=((2*sqrt(2))*Io)/(pi) #in amperes\n", - "print \"part (c)\"\n", - "print \"supply fundamental current =\",Is1rms,\"Io \"\n", - "print \"part (d)\"\n", - "DF=cos(alpha) #\n", - "print \"displacement factor =\",DF\n", - "print \"part (e)\"\n", - "SPF=Is1rms*DF #\n", - "print \"supply power factor = %0.2f lagging \" %SPF\n", - "print \"part (f)\"\n", - "HF=(((Isrms/Is1rms)**2)-1)**(1/2) #\n", - "print \"supply harmonic factor = %0.2f %%\" %(HF*100)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "average output voltage, Vldc = 99.00 V\n", - "part (b)\n", - "due to exact 50% duty cycle the rms value of supply current Isrms=Io\n", - "part (c)\n", - "supply fundamental current = 0.900316316157 Io \n", - "part (d)\n", - "displacement factor = 0.5\n", - "part (e)\n", - "supply power factor = 0.45 lagging \n", - "part (f)\n", - "supply harmonic factor = 48.34 %\n" - ] - } - ], - "prompt_number": 8 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter3_1.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter3_1.ipynb deleted file mode 100755 index a07f7460..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter3_1.ipynb +++ /dev/null @@ -1,522 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:86191a5ead11f6d89d35b179bef2e551a162454413febb874f54db9641e75871" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter3, Single Phase Controlled Rectifiers" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.3.1: page 3-11" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from sympy import symbols, simplify\n", - "from math import pi, sin, cos, sqrt\n", - "#form factor,ripple factor ,transformation utilization factor and peak inverse voltage\n", - "Vm=1 #assume\n", - "R=1 #assume\n", - "alfa = pi/3 # radian\n", - "Vm = symbols('Vm', real = True)\n", - "Vldc = Vm/2/pi*(1+cos(alfa))\n", - "Vlrms = Vm*sqrt(1/4/pi*(pi-pi/3)+1/4/pi*sin(2*pi/3))\n", - "ff=Vlrms/Vldc\n", - "print \"part (a):\"\n", - "print \"form factor is\",round(ff,3),\"or\",round(ff*100,1),\"%\"\n", - "#form factor is calculated wrong in the textbook\n", - "print \"part (b)\"\n", - "rf=sqrt(ff**2-1) #\n", - "print \"ripple factor is\",round(rf,2),\"or\",round(rf*100),\"%\"\n", - "#ripple factor is calculated wrong in the textbook\n", - "Vs=Vm/(sqrt(2)) #rms secondary voltage\n", - "Is=Vlrms/R #\n", - "TUF=((Vldc**2)/R)/(Vs*Is) #\n", - "print \"part (c)\"\n", - "print \"transformation utilization factor is\",round(TUF,3),\"or\",round(TUF*100,1),\"%\"\n", - "#transformation utilization factor is calculated wrong in the textbook\n", - "R=1 #assume\n", - "Vm=1 #assume\n", - "print \"part (d)\"\n", - "print \"PIV=Vm\"" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a):\n", - "form factor is 2.033 or 203.3 %\n", - "part (b)\n", - "ripple factor is 1.77 or 177.0 %\n", - "part (c)\n", - "transformation utilization factor is 0.166 or 16.6 %\n", - "part (d)\n", - "PIV=Vm\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.4.1: page 3-25" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "% matplotlib inline\n", - "from numpy import array, sqrt, pi, nditer, cos, sin\n", - "#plot the variation\n", - "vsrms=230 #volts\n", - "vm=sqrt(2)*vsrms #volts\n", - "alpha=array([0,30, 60, 90, 120, 150, 180]) #degree\n", - "x=array([0,(30*(pi/180)),(60*(pi/180)),(90*(pi/180)),(120*(pi/180)),(150*(pi/180)),(180*(pi/180))])\n", - "\n", - "def cur(alpha,x):\n", - " it = nditer([alpha,x,None, None])\n", - " for a,b,c,d in it:\n", - " c[...]=(vm/pi)*(1+cos(a*pi/180)) #\n", - " d[...]=vsrms*((1/pi)*(pi-b+(sin(2*b))/2))**(1/2) \n", - " return it.operands\n", - "vldc = cur(alpha,x)[2]\n", - "vlms = cur(alpha,x)[3]\n", - "from matplotlib.pyplot import subplot, xlabel, ylabel, title, plot, ylim, show\n", - "%matplotlib inline\n", - "subplot(1,3,1)\n", - "xlabel(\"alpha\") #\n", - "ylabel(\"Vldc\") #\n", - "title('(a) Variation of average load voltage')\n", - "plot(alpha,vldc) #\n", - "subplot(1,3,3)\n", - "xlabel(\"alpha\") #\n", - "xlabel(\"Vlrms\") #\n", - "title('(b) Variation of RMS load voltage')\n", - "plot(alpha,vlms) #\n", - "ylim(40,250)\n", - "show()" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stderr", - "text": [ - "-c:14: RuntimeWarning: invalid value encountered in double_scalars\n" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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wK3cfHv/uBjCzLYAjgC3ia35nZjX3+QcPhmHDwiHmIpItxx0H11wDn36adiRS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\nm25mm8XX7Ghmj8YRFh5JXNpLRNrvZuC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- "text": [ - "<matplotlib.figure.Figure at 0x7f1219c765d0>" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.4.5: page 3-38" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from math import pi, sqrt, degrees, acos\n", - "from numpy import arange\n", - "#delay angle,rms , averae output current ,average and rms thyristor current\n", - "Vrms=120 #RMS VOLTAGE \n", - "R=10 #in ohms\n", - "Vldc= (0.25*(2*sqrt(2)*Vrms))/pi #in volts\n", - "csd= (Vldc*pi)/(sqrt(2)*Vrms) #\n", - "alpha= degrees(acos(csd-1)) #\n", - "print \"part (a)\"\n", - "print \"delay angle = %0.2f degree\" %alpha\n", - "Vrms=120 #RMS VOLTAGE \n", - "Vm=sqrt(2)*Vrms #assume\n", - "t=arange(2*pi/3,pi,0.1) \n", - "Vlms=((Vm/(sqrt(2)))*(((1/pi)*((pi-(2*pi)/3)+sin(4*pi/6*pi/180))))**(1/2)) \n", - "Vldc= (0.25*(2*sqrt(2)*Vrms))/pi #in volts\n", - "Ildc=Vldc/R #average load current in ampere\n", - "Ilms=Vlms/R # rms load current in ampere\n", - "print \"part (b)\"\n", - "print \"rms load current = %0.2f A\" %Ilms\n", - "print \"average load current = %0.2f A\" %Ildc\n", - "#rms load current is calculated wrong in the textbook\n", - "Im=Vm/R #\n", - "from sympy.mpmath import quad, sin\n", - "f1 = lambda omega_t : Im*sin(omega_t)\n", - "Ith = (1/(2*pi)*(quad(f1,[alpha*pi/180,pi]))) # A (calculating integration)\n", - "f2 = lambda omega_t : (Im*sin(omega_t))**2\n", - "Ithrms = sqrt(1/(2*pi)*(quad(f2,[alpha*pi/180,pi]))) # A (calculating integration)\n", - "print \"part (c)\"\n", - "print \"average thyristor current = %0.2f A\" %Ith\n", - "print \"rms thyristor current = %0.2f A\" %Ithrms" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "delay angle = 120.00 degree\n", - "part (b)\n", - "rms load current = 7.05 A\n", - "average load current = 2.70 A\n", - "part (c)" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "\n", - "average thyristor current = 1.35 A\n", - "rms thyristor current = 3.75 A\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.6.1: page 3-69 " - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#average load voltage,rms load voltage,average and rms load currents ,form factor and ripple factor\n", - "R=10 #IN OHMS\n", - "r=10 #IN OHMS\n", - "Vi=230 #in volts\n", - "alpha=60 #fiirng angle in degree \n", - "Vm=Vi*sqrt(2) #in voltas\n", - "Vldc=((Vm)/pi)*(1+cos(alpha*pi/180)) #average load voltgae\n", - "print \"part (a)\"\n", - "print \"average load voltage = %0.2f Volts\" %Vldc\n", - "print \"part (b)\"\n", - "r=10 #IN OHMS\n", - "Vi=230 #in volts\n", - "alpha=60 #fiirng angle in degree \n", - "Vm=Vi*sqrt(2) #in voltas\n", - "Vlms=((Vm/(sqrt(2)))*(((pi-pi/3)+(sin(2*pi/3*pi/180))/2)/pi)**(1/2)) #\n", - "print \"rms load voltage = %0.2f V\" %Vlms\n", - "#rms voltage is calculated wrong in the textbook\n", - "print \"part (c)\"\n", - "Ildc=Vldc/R # in amperes\n", - "Irms=Vlms/R # in amperes\n", - "print \"rms load current = %0.2f A\" %Irms\n", - "print \"average load current = %0.2f A\" %Ildc\n", - "#rms load current is wrong in the textbook\n", - "print \"part (d)\"\n", - "ff=Vlms/Vldc \n", - "print \"form factor is =\",round(ff,2),\"or\",round(ff*100,2),\"%\"\n", - "rf=sqrt(ff**2-1) #\n", - "print \"ripple factor =\",round(rf,2),\"or\",round(rf*100,2),\"%\"\n", - "#form factor and ripple factor is calculated wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "average load voltage = 155.30 Volts\n", - "part (b)\n", - "rms load voltage = 188.61 V\n", - "part (c)\n", - "rms load current = 18.86 A\n", - "average load current = 15.53 A\n", - "part (d)\n", - "form factor is = 1.21 or 121.45 %\n", - "ripple factor = 0.69 or 68.91 %\n" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.7.1: page 3-72" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import array, nditer, sqrt, pi, cos\n", - "from __future__ import division\n", - "#device ratings\n", - "Io=25 #in amperes\n", - "Vsrms=120 # in colts\n", - "Vm=sqrt(2)*Vsrms # in volts\n", - "alpha=array([0,60,90,135,180])\n", - "\n", - "def volt(alpha):\n", - " it = nditer([alpha, None])\n", - " for a,b in it:\n", - " \n", - " b[...]=Vm/pi*(1+cos(a*pi/180))\n", - " return it.operands[1]\n", - "vldc = volt(alpha)\n", - "print \"alpha : \",\n", - "for a in nditer([alpha]):\n", - " print a,'\\t',\n", - "print \"\"\n", - "\n", - "print \"VLdc(V) : \",\n", - "for a in nditer([vldc]):\n", - " print a,'\\t',\n", - "print \"\"\n", - "\n", - "PIV=Vm #peak inverse voltage\n", - "Iascr=Io/2 #scr average currentin ampere\n", - "Iadod=Io #average diode current in amperes\n", - "Ipscr=Iascr #peak current rating for SCR in amperes\n", - "Ipdod=Iadod #peak current rating for diode in amperes\n", - "print \"scr average current = %0.2f A\" %Iascr\n", - "print \"Average diode current = %0.2f A\" %Iadod\n", - "print \"Peak current rating for SCR = %0.2f A\" %Ipscr\n", - "print \"Peak current rating for diode = %0.2f A\" %Ipdod" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "alpha : 0 \t60 \t90 \t135 \t180 \t\n", - "VLdc(V) : 108 \t81 \t54 \t15 \t0 \t\n", - "scr average current = 12.50 A\n", - "Average diode current = 25.00 A\n", - "Peak current rating for SCR = 12.50 A\n", - "Peak current rating for diode = 25.00 A\n" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.7.2: page 3-73" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import sin\n", - "#Vldc,Vn,Vlrms,HF,DF and PF\n", - "Vsrms=120 #in volts\n", - "alpha=pi/2 #\n", - "vm=sqrt(2)*Vsrms #\n", - "vldc=((sqrt(2)*Vsrms)/(pi))*(1+cos(alpha)) #in volts\n", - "vldcm=(2*vm)/(pi) #in volts\n", - "vn=vldc/vldcm #normalised average output voltage in volts\n", - "x=((1/pi)*((pi-alpha)+(sin((2*alpha)))/2))**(1/2) #\n", - "vlrms=((vm/sqrt(2))*x) #RMS load voltage in volts\n", - "Io=1 #assume\n", - "Isrms=Io*(1-(alpha/pi))**(1/2) #in amperes\n", - "Is1rms=((2*sqrt(2))*Io*cos(alpha/2))/(pi) #in amperes\n", - "HF=((Isrms/Is1rms)**2-1)**(1/2) #Harmonic Fator is\n", - "DF=cos(alpha/2) #Displacement factor\n", - "PF=(Is1rms/Isrms)*(DF) #power factor\n", - "print \"average output voltage, Vldc = %0.2f V\" %round(vldc)\n", - "print \"Normalised average output voltage, Vn = %0.2f V\" %vn\n", - "print \"RMS load voltage, Vlrms = %0.2f V\" %vlrms\n", - "print \"Harmonic factor, HF = %0.2f %%\" %(HF*100)\n", - "print \"Displacement factor, DF = %0.2f %%\" %(DF*100)\n", - "print \"Power factor, PF = %0.4f lagging\" %PF" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "average output voltage, Vldc = 54.00 V\n", - "Normalised average output voltage, Vn = 0.50 V\n", - "RMS load voltage, Vlrms = 84.85 V\n", - "Harmonic factor, HF = 48.34 %\n", - "Displacement factor, DF = 70.71 %\n", - "Power factor, PF = 0.6366 lagging\n" - ] - } - ], - "prompt_number": 6 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.7.5: page 3-77" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import degrees, acos\n", - "#alpha\n", - "print \"part (a)\"\n", - "vc=135 #in volts\n", - "vs=220 #in vlts\n", - "rl=0.5 #in ohms\n", - "io=10 #in ampeeres\n", - "vm=sqrt(2)*vs #\n", - "vldc=io*rl+vc #\n", - "alpha=degrees(acos((vldc*pi)/(2*vm))) #\n", - "print \"alpha = %0.f degree \"%alpha\n", - "print \"part (b)\"\n", - "vc=145 #in volts\n", - "vs=220 #in vlts\n", - "rl=0.5 #in ohms\n", - "io=10 #in ampeeres\n", - "vm=sqrt(2)*vs #\n", - "vldc=io*rl-vc #\n", - "alpha=degrees(acos((vldc*pi)/(2*vm))) #\n", - "print \"alpha = %0.f degree \"%(alpha)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "alpha = 45 degree \n", - "part (b)\n", - "alpha = 135 degree \n" - ] - } - ], - "prompt_number": 7 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 3.7.6: page 3-79" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#average output voltage,supply rms current ,\n", - "#supply fundamental current current,displacement factor,supply factor and supply harmonic factor\n", - "Vsrms=220 #in volts\n", - "alpha=pi/3 #\n", - "vm=sqrt(2)*Vsrms #\n", - "vldc=((2*vm)/(pi))*(cos(alpha)) #in volts\n", - "vldcm=(2*vm)/(pi) #in volts\n", - "vn=vldc/vldcm #normalised average output voltage in volts\n", - "x=((1/pi)*((pi-alpha)+(sin((2*alpha)))/2))**(1/2) #\n", - "vlrms=((vm/sqrt(2))*x) #RMS load voltage in volts\n", - "Io=1 #assume\n", - "Isrms=Io*(1-(alpha/pi))**(1/2) #in amperes\n", - "Is1rms=((2*sqrt(2))*Io*cos(alpha/2))/(pi) #in amperes\n", - "HF=((Isrms/Is1rms)**2-1)**(1/2) #Harmonic Fator is\n", - "DF=cos(alpha/2) #Displacement factor\n", - "PF=(Is1rms/Isrms)*(DF) #power factor\n", - "print \"part (a)\"\n", - "print \"average output voltage, Vldc = %0.2f V\" %round(vldc)\n", - "print \"part (b)\"\n", - "print \"due to exact 50% duty cycle the rms value of supply current Isrms=Io\"\n", - "Io=1 #assume\n", - "Isrms=Io #in amperes\n", - "Is1rms=((2*sqrt(2))*Io)/(pi) #in amperes\n", - "print \"part (c)\"\n", - "print \"supply fundamental current =\",Is1rms,\"Io \"\n", - "print \"part (d)\"\n", - "DF=cos(alpha) #\n", - "print \"displacement factor =\",DF\n", - "print \"part (e)\"\n", - "SPF=Is1rms*DF #\n", - "print \"supply power factor = %0.2f lagging \" %SPF\n", - "print \"part (f)\"\n", - "HF=(((Isrms/Is1rms)**2)-1)**(1/2) #\n", - "print \"supply harmonic factor = %0.2f %%\" %(HF*100)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "average output voltage, Vldc = 99.00 V\n", - "part (b)\n", - "due to exact 50% duty cycle the rms value of supply current Isrms=Io\n", - "part (c)\n", - "supply fundamental current = 0.900316316157 Io \n", - "part (d)\n", - "displacement factor = 0.5\n", - "part (e)\n", - "supply power factor = 0.45 lagging \n", - "part (f)\n", - "supply harmonic factor = 48.34 %\n" - ] - } - ], - "prompt_number": 8 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter5.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter5.ipynb deleted file mode 100755 index 31ed62bc..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter5.ipynb +++ /dev/null @@ -1,334 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:6bef06309f2dc6c34cb3f6505e0a7b5381887b6e742832b02487100464da77a5" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter5, Inverters" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 5.3.1: page 5-8" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import pi, sqrt\n", - "#Maximum frequency\n", - "#given data :\n", - "T_off=100 # in micro-sec\n", - "L=40 # in micro-H\n", - "C=5 # in micro-farad\n", - "R=4 #in ohm\n", - "Tr=((2*pi)/sqrt((1/(C*10**-6*L*10**-6))-(R**2/(4*(L*10**-6)**2))))*10**6 \n", - "f=(1/(Tr+T_off))*10**3 \n", - "print \"maximum frequency, f = %0.3f kHz \" %f" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "maximum frequency, f = 4.431 kHz \n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 5.12.1: page 5-37" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from numpy import arange, pi, sqrt, nditer, array\n", - "#rms output voltage,output power, average and peak currents,peak reverse blocking voltage,\n", - "#THD,DF,harmonic factor and distortion factor of the lowest order harmonic\n", - "print \"part (a)\"\n", - "v=24 #in volts\n", - "V=v #\n", - "r=3 #in ohms\n", - "v1rms=(2*v)/(sqrt(2)*pi) #in volts\n", - "print \"rms output voltage at fundamental frequency = %0.2f V\" %v1rms\n", - "print \"part (b)\"\n", - "po=((v/2)**2)/r #in watts\n", - "print \"output power = %0.2f Watt\" %po\n", - "print \"part (c)\"\n", - "itav=(v/(4*r)) #in amperes\n", - "itp=((v/2)/r) #in amperes\n", - "print \"average transistor current = %0.2f A\" %itav\n", - "print \"transistor peak current = %0.2f A\" %itp\n", - "print \"part (d)\"\n", - "vbr=2*(v/2) #in volts\n", - "print \"peak reverse blocking voltage = %0.2f V\" %vbr\n", - "print \"part (e)\"\n", - "vo=v/2 #\n", - "THD1=((vo)**2-(v1rms)**2)**(1/2) #in volts\n", - "THD=THD1/v1rms #\n", - "print \"Total Hramonic distortion = %0.2f %%\" %(THD*100)\n", - "print \"part (f)\"\n", - "n=array([0,0,(1/3),0,(1/5),0,(1/7),0,(1/9),0,(1/11),0,(1/13)]) #\n", - "i = arange(3,15,2)\n", - "def fun1(n):\n", - " it = nditer([n, None])\n", - " for x,y in it:\n", - " y[...] = 2*V*x/pi/sqrt(2)\n", - " return it.operands[1]\n", - "v = fun1(n)\n", - "x=sqrt((((v[2])/(3**2))**2)+(((v[4])/(5**2))**2)+(((v[6])/(7**2))**2)+(((v[8])/(9**2))**2)+(((v[10])/(11**2))**2)+(((v[12])/(13**2))**2)) #\n", - "DF=x/v1rms #\n", - "print \"distortion factor = %0.2f %%\" %(DF*100)\n", - "#distortion factor is calculated wrong in the textbook\n", - "print \"part (g)\"\n", - "HF3=v[2]/v1rms #\n", - "DF3=((v[2]/(3**2)))/v1rms\n", - "print \"HF for the third harmonic = %0.2f %%\" %(HF3*100)\n", - "print \"DF the third harmonic = %0.2f %%\" %(DF3*100)\n", - "# answer for part f is wrong in the textbook." - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "rms output voltage at fundamental frequency = 10.80 V\n", - "part (b)\n", - "output power = 48.00 Watt\n", - "part (c)\n", - "average transistor current = 2.00 A\n", - "transistor peak current = 4.00 A\n", - "part (d)\n", - "peak reverse blocking voltage = 24.00 V\n", - "part (e)\n", - "Total Hramonic distortion = 48.34 %\n", - "part (f)\n", - "distortion factor = 3.80 %\n", - "part (g)\n", - "HF for the third harmonic = 33.33 %\n", - "DF the third harmonic = 3.70 %\n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 5.12.2: page 5-39" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#rms output voltage,output power,average and peak currents,peak reverse blocking voltage,\n", - "#THD,DF,harmonic factor and distortion factor of the lowest order harmonic\n", - "v=48 #in volts\n", - "V=v #\n", - "r=2.4 #in ohms\n", - "v1rms=(4*v)/(sqrt(2)*pi) #in volts\n", - "print \"part (a)\"\n", - "print \"rms output voltage at fundamental frequency = %0.2f V\" %v1rms\n", - "print \"part (b)\"\n", - "po=((v)**2)/r #in watts\n", - "print \"output power = %0.2f Watt\" %po\n", - "print \"part (c)\"\n", - "itav=(v/(r)) #in amperes\n", - "itp=((v/2)/r) #in amperes\n", - "print \"average transistor current = %0.2f A\" %itp\n", - "print \"transistor peak current = %0.2f A\" %itav\n", - "print \"part (d)\"\n", - "vbr=2*(v/2) #in volts\n", - "print \"peak reverse bloacking voltage = %0.2f V\" %vbr\n", - "print \"part (e)\"\n", - "vo=v #\n", - "THD1=((vo)**2-(v1rms)**2)**(1/2) #in volts\n", - "THD=THD1/v1rms #\n", - "print \"Total Hramonic distortion = %0.2f %%\" %(THD*100)\n", - "print \"part (f)\"\n", - "n=array([0, 0, (1/3), 0, (1/5), 0, (1/7), 0, (1/9), 0, (1/11), 0, (1/13)]) #\n", - "i = arange(3,15,2)\n", - "def fun1(n):\n", - " it = nditer([n, None])\n", - " for x,y in it:\n", - " y[...] = 2*V*x/pi/sqrt(2)\n", - " return it.operands[1]\n", - "v = fun1(n)\n", - "x=sqrt((((v[2])/(3**2))**2)+(((v[4]/(5**2))**2)+(((v[6]/(7**2))**2)+(((v[8]/(9**2))**2)+\n", - "(((v[10]/(11**2))**2)+(((v[12])/(13**2))**2)))))) #\n", - "vorms=0.9\n", - "DF=x/vorms #\n", - "print \"distor factor = %0.2f %%\" %(DF*100)\n", - "#distortion factor is calculated wrong in the textbook\n", - "print \"part (g)\"\n", - "HF3=2*v[2]/v1rms #\n", - "DF3=2*((v[2]/(3**2)))/v1rms\n", - "print \"HF for the third harmonic = %0.2f %%\" %(HF3*100)\n", - "print \"DF the third harmonic = %0.2f %%\" %(DF3*100)\n", - "# Answer not accurate for some part." - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "rms output voltage at fundamental frequency = 43.22 V\n", - "part (b)\n", - "output power = 960.00 Watt\n", - "part (c)\n", - "average transistor current = 10.00 A\n", - "transistor peak current = 20.00 A\n", - "part (d)\n", - "peak reverse bloacking voltage = 48.00 V\n", - "part (e)\n", - "Total Hramonic distortion = 48.34 %\n", - "part (f)\n", - "distor factor = 91.32 %\n", - "part (g)\n", - "HF for the third harmonic = 33.33 %\n", - "DF the third harmonic = 3.70 %\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 5.12.3: page 5-40" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#amplitude of the first three lower order harmonis\n", - "#given data :\n", - "v=200 #in volts\n", - "n=array([(1/3), (1/5), (1/7)]) #\n", - "def fun1(n):\n", - " it = nditer([n, None])\n", - " for x,y in it:\n", - " y[...] = 4*v*x/pi/sqrt(2)\n", - " return it.operands[1]\n", - "vn = fun1(n)\n", - "print \"Rms value of third harmonic component of output voltage = %0.2f V\" %round(vn[0])\n", - "print \"Rms value of fifth harmonic component of output voltage = %0.2f V\" %round(vn[1])\n", - "print \"Rms value of seventh harmonic component of output voltage = %0.2f V\" %(vn[2])" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Rms value of third harmonic component of output voltage = 60.00 V\n", - "Rms value of fifth harmonic component of output voltage = 36.00 V\n", - "Rms value of seventh harmonic component of output voltage = 25.72 V\n" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 5.12.4: page 5-42" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#amplitude of the first three lower order harmonis\n", - "#given data :\n", - "v=200 #in volts\n", - "n=array([(1/3), (1/5), (1/7)]) #\n", - "vo1rms=(2*v)/(sqrt(2)*pi) #in volts\n", - "def fun1(n):\n", - " it = nditer([n, None])\n", - " for x,y in it:\n", - " y[...] = 2*v*x/pi/sqrt(2)\n", - " return it.operands[1]\n", - "vn = fun1(n)\n", - "print \"Vo1rms for half bridge circuit = %0.2f V\" %round(vo1rms)\n", - "print \"Rms value of third harmonic component for half bridge circuit = %0.2f V\" %round(vn[0])\n", - "print \"Rms value of fifth harmonic component for half bridge circuit = %0.2f V\" %round(vn[1])\n", - "print \"Rms value of seventh harmonic component for half bridge circuit = %0.2f V\" %vn[2]\n", - "print \"for bridge inverter\"\n", - "vo1rms1=(4*v)/(sqrt(2)*pi) #in volts\n", - "def fun2(n):\n", - " \n", - " it = nditer([n, None])\n", - " for x,y in it:\n", - " y[...] = 4*v*x/pi/sqrt(2)\n", - " return it.operands[1]\n", - "vn1 = fun2(n)\n", - "print \"Vo1rms for half bridge circuit = %0.2f V\" %round(vo1rms1)\n", - "print \"Rms value of third harmonic component for bridge inverter circuit = %0.2f V\" %round(vn1[0])\n", - "print \"Rms value of fifth harmonic component for half bridge inverter circuit = %0.2f V\" %round(vn1[1])\n", - "print \"Rms value of seventh harmonic component for half bridge inverter circuit = %0.2f V\" %vn1[2]" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Vo1rms for half bridge circuit = 90.00 V\n", - "Rms value of third harmonic component for half bridge circuit = 30.00 V\n", - "Rms value of fifth harmonic component for half bridge circuit = 18.00 V\n", - "Rms value of seventh harmonic component for half bridge circuit = 12.86 V\n", - "for bridge inverter\n", - "Vo1rms for half bridge circuit = 180.00 V\n", - "Rms value of third harmonic component for bridge inverter circuit = 60.00 V\n", - "Rms value of fifth harmonic component for half bridge inverter circuit = 36.00 V\n", - "Rms value of seventh harmonic component for half bridge inverter circuit = 25.72 V\n" - ] - } - ], - "prompt_number": 5 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter5_1.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter5_1.ipynb deleted file mode 100755 index 31ed62bc..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter5_1.ipynb +++ /dev/null @@ -1,334 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:6bef06309f2dc6c34cb3f6505e0a7b5381887b6e742832b02487100464da77a5" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter5, Inverters" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 5.3.1: page 5-8" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import pi, sqrt\n", - "#Maximum frequency\n", - "#given data :\n", - "T_off=100 # in micro-sec\n", - "L=40 # in micro-H\n", - "C=5 # in micro-farad\n", - "R=4 #in ohm\n", - "Tr=((2*pi)/sqrt((1/(C*10**-6*L*10**-6))-(R**2/(4*(L*10**-6)**2))))*10**6 \n", - "f=(1/(Tr+T_off))*10**3 \n", - "print \"maximum frequency, f = %0.3f kHz \" %f" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "maximum frequency, f = 4.431 kHz \n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 5.12.1: page 5-37" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from numpy import arange, pi, sqrt, nditer, array\n", - "#rms output voltage,output power, average and peak currents,peak reverse blocking voltage,\n", - "#THD,DF,harmonic factor and distortion factor of the lowest order harmonic\n", - "print \"part (a)\"\n", - "v=24 #in volts\n", - "V=v #\n", - "r=3 #in ohms\n", - "v1rms=(2*v)/(sqrt(2)*pi) #in volts\n", - "print \"rms output voltage at fundamental frequency = %0.2f V\" %v1rms\n", - "print \"part (b)\"\n", - "po=((v/2)**2)/r #in watts\n", - "print \"output power = %0.2f Watt\" %po\n", - "print \"part (c)\"\n", - "itav=(v/(4*r)) #in amperes\n", - "itp=((v/2)/r) #in amperes\n", - "print \"average transistor current = %0.2f A\" %itav\n", - "print \"transistor peak current = %0.2f A\" %itp\n", - "print \"part (d)\"\n", - "vbr=2*(v/2) #in volts\n", - "print \"peak reverse blocking voltage = %0.2f V\" %vbr\n", - "print \"part (e)\"\n", - "vo=v/2 #\n", - "THD1=((vo)**2-(v1rms)**2)**(1/2) #in volts\n", - "THD=THD1/v1rms #\n", - "print \"Total Hramonic distortion = %0.2f %%\" %(THD*100)\n", - "print \"part (f)\"\n", - "n=array([0,0,(1/3),0,(1/5),0,(1/7),0,(1/9),0,(1/11),0,(1/13)]) #\n", - "i = arange(3,15,2)\n", - "def fun1(n):\n", - " it = nditer([n, None])\n", - " for x,y in it:\n", - " y[...] = 2*V*x/pi/sqrt(2)\n", - " return it.operands[1]\n", - "v = fun1(n)\n", - "x=sqrt((((v[2])/(3**2))**2)+(((v[4])/(5**2))**2)+(((v[6])/(7**2))**2)+(((v[8])/(9**2))**2)+(((v[10])/(11**2))**2)+(((v[12])/(13**2))**2)) #\n", - "DF=x/v1rms #\n", - "print \"distortion factor = %0.2f %%\" %(DF*100)\n", - "#distortion factor is calculated wrong in the textbook\n", - "print \"part (g)\"\n", - "HF3=v[2]/v1rms #\n", - "DF3=((v[2]/(3**2)))/v1rms\n", - "print \"HF for the third harmonic = %0.2f %%\" %(HF3*100)\n", - "print \"DF the third harmonic = %0.2f %%\" %(DF3*100)\n", - "# answer for part f is wrong in the textbook." - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "rms output voltage at fundamental frequency = 10.80 V\n", - "part (b)\n", - "output power = 48.00 Watt\n", - "part (c)\n", - "average transistor current = 2.00 A\n", - "transistor peak current = 4.00 A\n", - "part (d)\n", - "peak reverse blocking voltage = 24.00 V\n", - "part (e)\n", - "Total Hramonic distortion = 48.34 %\n", - "part (f)\n", - "distortion factor = 3.80 %\n", - "part (g)\n", - "HF for the third harmonic = 33.33 %\n", - "DF the third harmonic = 3.70 %\n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 5.12.2: page 5-39" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#rms output voltage,output power,average and peak currents,peak reverse blocking voltage,\n", - "#THD,DF,harmonic factor and distortion factor of the lowest order harmonic\n", - "v=48 #in volts\n", - "V=v #\n", - "r=2.4 #in ohms\n", - "v1rms=(4*v)/(sqrt(2)*pi) #in volts\n", - "print \"part (a)\"\n", - "print \"rms output voltage at fundamental frequency = %0.2f V\" %v1rms\n", - "print \"part (b)\"\n", - "po=((v)**2)/r #in watts\n", - "print \"output power = %0.2f Watt\" %po\n", - "print \"part (c)\"\n", - "itav=(v/(r)) #in amperes\n", - "itp=((v/2)/r) #in amperes\n", - "print \"average transistor current = %0.2f A\" %itp\n", - "print \"transistor peak current = %0.2f A\" %itav\n", - "print \"part (d)\"\n", - "vbr=2*(v/2) #in volts\n", - "print \"peak reverse bloacking voltage = %0.2f V\" %vbr\n", - "print \"part (e)\"\n", - "vo=v #\n", - "THD1=((vo)**2-(v1rms)**2)**(1/2) #in volts\n", - "THD=THD1/v1rms #\n", - "print \"Total Hramonic distortion = %0.2f %%\" %(THD*100)\n", - "print \"part (f)\"\n", - "n=array([0, 0, (1/3), 0, (1/5), 0, (1/7), 0, (1/9), 0, (1/11), 0, (1/13)]) #\n", - "i = arange(3,15,2)\n", - "def fun1(n):\n", - " it = nditer([n, None])\n", - " for x,y in it:\n", - " y[...] = 2*V*x/pi/sqrt(2)\n", - " return it.operands[1]\n", - "v = fun1(n)\n", - "x=sqrt((((v[2])/(3**2))**2)+(((v[4]/(5**2))**2)+(((v[6]/(7**2))**2)+(((v[8]/(9**2))**2)+\n", - "(((v[10]/(11**2))**2)+(((v[12])/(13**2))**2)))))) #\n", - "vorms=0.9\n", - "DF=x/vorms #\n", - "print \"distor factor = %0.2f %%\" %(DF*100)\n", - "#distortion factor is calculated wrong in the textbook\n", - "print \"part (g)\"\n", - "HF3=2*v[2]/v1rms #\n", - "DF3=2*((v[2]/(3**2)))/v1rms\n", - "print \"HF for the third harmonic = %0.2f %%\" %(HF3*100)\n", - "print \"DF the third harmonic = %0.2f %%\" %(DF3*100)\n", - "# Answer not accurate for some part." - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "rms output voltage at fundamental frequency = 43.22 V\n", - "part (b)\n", - "output power = 960.00 Watt\n", - "part (c)\n", - "average transistor current = 10.00 A\n", - "transistor peak current = 20.00 A\n", - "part (d)\n", - "peak reverse bloacking voltage = 48.00 V\n", - "part (e)\n", - "Total Hramonic distortion = 48.34 %\n", - "part (f)\n", - "distor factor = 91.32 %\n", - "part (g)\n", - "HF for the third harmonic = 33.33 %\n", - "DF the third harmonic = 3.70 %\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 5.12.3: page 5-40" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#amplitude of the first three lower order harmonis\n", - "#given data :\n", - "v=200 #in volts\n", - "n=array([(1/3), (1/5), (1/7)]) #\n", - "def fun1(n):\n", - " it = nditer([n, None])\n", - " for x,y in it:\n", - " y[...] = 4*v*x/pi/sqrt(2)\n", - " return it.operands[1]\n", - "vn = fun1(n)\n", - "print \"Rms value of third harmonic component of output voltage = %0.2f V\" %round(vn[0])\n", - "print \"Rms value of fifth harmonic component of output voltage = %0.2f V\" %round(vn[1])\n", - "print \"Rms value of seventh harmonic component of output voltage = %0.2f V\" %(vn[2])" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Rms value of third harmonic component of output voltage = 60.00 V\n", - "Rms value of fifth harmonic component of output voltage = 36.00 V\n", - "Rms value of seventh harmonic component of output voltage = 25.72 V\n" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 5.12.4: page 5-42" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#amplitude of the first three lower order harmonis\n", - "#given data :\n", - "v=200 #in volts\n", - "n=array([(1/3), (1/5), (1/7)]) #\n", - "vo1rms=(2*v)/(sqrt(2)*pi) #in volts\n", - "def fun1(n):\n", - " it = nditer([n, None])\n", - " for x,y in it:\n", - " y[...] = 2*v*x/pi/sqrt(2)\n", - " return it.operands[1]\n", - "vn = fun1(n)\n", - "print \"Vo1rms for half bridge circuit = %0.2f V\" %round(vo1rms)\n", - "print \"Rms value of third harmonic component for half bridge circuit = %0.2f V\" %round(vn[0])\n", - "print \"Rms value of fifth harmonic component for half bridge circuit = %0.2f V\" %round(vn[1])\n", - "print \"Rms value of seventh harmonic component for half bridge circuit = %0.2f V\" %vn[2]\n", - "print \"for bridge inverter\"\n", - "vo1rms1=(4*v)/(sqrt(2)*pi) #in volts\n", - "def fun2(n):\n", - " \n", - " it = nditer([n, None])\n", - " for x,y in it:\n", - " y[...] = 4*v*x/pi/sqrt(2)\n", - " return it.operands[1]\n", - "vn1 = fun2(n)\n", - "print \"Vo1rms for half bridge circuit = %0.2f V\" %round(vo1rms1)\n", - "print \"Rms value of third harmonic component for bridge inverter circuit = %0.2f V\" %round(vn1[0])\n", - "print \"Rms value of fifth harmonic component for half bridge inverter circuit = %0.2f V\" %round(vn1[1])\n", - "print \"Rms value of seventh harmonic component for half bridge inverter circuit = %0.2f V\" %vn1[2]" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Vo1rms for half bridge circuit = 90.00 V\n", - "Rms value of third harmonic component for half bridge circuit = 30.00 V\n", - "Rms value of fifth harmonic component for half bridge circuit = 18.00 V\n", - "Rms value of seventh harmonic component for half bridge circuit = 12.86 V\n", - "for bridge inverter\n", - "Vo1rms for half bridge circuit = 180.00 V\n", - "Rms value of third harmonic component for bridge inverter circuit = 60.00 V\n", - "Rms value of fifth harmonic component for half bridge inverter circuit = 36.00 V\n", - "Rms value of seventh harmonic component for half bridge inverter circuit = 25.72 V\n" - ] - } - ], - "prompt_number": 5 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter6.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter6.ipynb deleted file mode 100755 index fae89a4b..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter6.ipynb +++ /dev/null @@ -1,742 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:d435622fb1baa95a06f9d3e71f4cf43942d9156a2117df3b2f8d5d3555535a6d" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter6, Choppers" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.1: page 6-7" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import sqrt\n", - "#average load voltage,RMS load voltage ,Form factor and Ripple factor\n", - "#given data \n", - "f=1.0 #in kHz\n", - "t=1/f #in ms\n", - "d=0.3 #\n", - "v=200 #\n", - "vch=2 #in volts\n", - "vldc=(v-vch)*d #average load voltage in volts\n", - "print \"part (a)\"\n", - "print \"average load voltage = %0.2f V\" %vldc\n", - "print \"part (b)\"\n", - "vlrms=(v-vch)*sqrt(d) #RMS load voltage in volts\n", - "print \"RMS load voltage = %0.1f V\" %vlrms\n", - "print \"part (c)\"\n", - "FF=vlrms/vldc #\n", - "print \"form factor = %0.4f or %0.2f %%\"%(FF,FF*100)\n", - "print \"part (d)\"\n", - "rf=sqrt(FF**2-1) #\n", - "print \"ripple factor = %0.3f or %0.2f %%\"%(rf,rf*100)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "average load voltage = 59.40 V\n", - "part (b)\n", - "RMS load voltage = 108.4 V\n", - "part (c)\n", - "form factor = 1.8257 or 182.57 %\n", - "part (d)\n", - "ripple factor = 1.528 or 152.75 %\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.2: page 6-7" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#chooper efficiency,input resistance and average load current\n", - "#given data \n", - "r=10 #in ohms\n", - "f=1 #in kHz\n", - "t=1/f #in ms\n", - "d=0.3 #\n", - "v=200 #\n", - "vch=2 #in volts\n", - "Po=((v-vch)**2)*(d/r) #in watts\n", - "Pi=((d*v*(v-vch))/r) #in watts\n", - "cn=Po/Pi #chopper efficiency\n", - "print \"part (a)\"\n", - "print \"chopper efficiency = %0.3f or %0.2f %%\"%(cn,cn*100)\n", - "print \"part (b)\"\n", - "R1=r/d #\n", - "print \"input resistance = %0.2f ohm \" %R1\n", - "print \"part (c)\"\n", - "vldc=59.4 #V\n", - "r=10 #ohm\n", - "Ildc=vldc/r #amp\n", - "print \"average load current = %0.2f A\" %Ildc" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "chopper efficiency = 0.990 or 99.00 %\n", - "part (b)\n", - "input resistance = 33.33 ohm \n", - "part (c)\n", - "average load current = 5.94 A\n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.3: 6-8" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Duty Cycle,Average Load voltage and RMS Load Voltage\n", - "#given data \n", - "V=200 # in volts\n", - "T_on=500*10**-6 \n", - "f=1*10**3 # in Hz\n", - "D=T_on*f \n", - "print \"part (a)\"\n", - "print \"duty cycle =\",D,\"or\",D*100,\"%\"\n", - "print \"part (b)\"\n", - "VL_dc=D*V \n", - "print \"Average Load Voltage = %0.2f V\" %(VL_dc)\n", - "print \"part (c)\"\n", - "VL_rms=sqrt(D)*V \n", - "print \"RMS Load Voltage, VL_rms = %0.f V\" %VL_rms\n", - "#part c answer is calculated wrong in book" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "duty cycle = 0.5 or 50.0 %\n", - "part (b)\n", - "Average Load Voltage = 100.00 V\n", - "part (c)\n", - "RMS Load Voltage, VL_rms = 141 V\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.4: page 6-8" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#average load voltage and rms load voltage\n", - "#given data \n", - "from numpy import arange, nditer, array\n", - "Sr = arange(1,11)\n", - "d = arange(0,1.1,0.1)\n", - "vldc = d\n", - "def rms(d):\n", - " it = nditer([d, None])\n", - " for x, y in it:\n", - " y[...] = sqrt(x)\n", - " return it.operands[1]\n", - "vlrms = rms(d)\n", - "Z = vldc\n", - "U = vlrms\n", - "%matplotlib inline\n", - "import matplotlib.pyplot as plt\n", - "plt.plot(d,vlrms) \n", - "plt.plot(d,vldc) \n", - "plt.xlabel(\"DUTY CYCLE D\")\n", - "plt.ylabel(\"Vldc & Vlrms Volts\")\n", - "plt.title(\"Variation of Vldc and Vlrms with duty cycle D\")\n", - "plt.text(0.5,0.4,'VLdc')\n", - "plt.text(0.3,0.7,'VLrms')\n", - "plt.show()\n", - "print \"Sr.No\\t\\t\\tDuty Cycle D\\t\\t\\tAvg. Load Voltage\\t\\t\\tRMS load voltage\"\n", - "for i,d,z,u in nditer([range(1,12),d,Z,U]):\n", - " print ' ',i,'\\t\\t\\t ',d,'\\t\\t\\t\\t\\t',z,'\\t\\t\\t\\t %0.3f'%u\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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5p7QUZs1ylcGUKdCunWsqOv98qFs3sdtKZZVgfQzGGFOBJUtcMhg/3iWAPn1g0SLYf/9g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\niWVVgjEmGYJODDEPVxaRU4H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- "text": [ - "<matplotlib.figure.Figure at 0x7fa03d2b6cd0>" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Sr.No\t\t\tDuty Cycle D\t\t\tAvg. Load Voltage\t\t\tRMS load voltage\n", - " 1 \t\t\t 0.0 \t\t\t\t\t0.0 \t\t\t\t 0.000\n", - " 2 \t\t\t 0.1 \t\t\t\t\t0.1 \t\t\t\t 0.316\n", - " 3 \t\t\t 0.2 \t\t\t\t\t0.2 \t\t\t\t 0.447\n", - " 4 \t\t\t 0.3 \t\t\t\t\t0.3 \t\t\t\t 0.548\n", - " 5 \t\t\t 0.4 \t\t\t\t\t0.4 \t\t\t\t 0.632\n", - " 6 \t\t\t 0.5 \t\t\t\t\t0.5 \t\t\t\t 0.707\n", - " 7 \t\t\t 0.6 \t\t\t\t\t0.6 \t\t\t\t 0.775\n", - " 8 \t\t\t 0.7 \t\t\t\t\t0.7 \t\t\t\t 0.837\n", - " 9 \t\t\t 0.8 \t\t\t\t\t0.8 \t\t\t\t 0.894\n", - " 10 \t\t\t 0.9 \t\t\t\t\t0.9 \t\t\t\t 0.949\n", - " 11 \t\t\t 1.0 \t\t\t\t\t1.0 \t\t\t\t 1.000\n" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.5: page 6-9" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import arange, nditer, sqrt\n", - "#average load voltage and rms load voltage\n", - "#given data \n", - "D=arange(0.1,1.1,0.1)\n", - "def fun1(D):\n", - " it=nditer([D, None])\n", - " for x, y in it:\n", - " y[...] = 1/sqrt(x)*100\n", - " return it.operands[1] \n", - "\n", - "FF = fun1(D)\n", - "def fun2(FF):\n", - " it = nditer([FF, None])\n", - " for x,y in it:\n", - " y[...] = sqrt((x/100)**2-1)*100\n", - " return it.operands[1]\n", - "\n", - "RF = fun2(FF)\n", - "\n", - "if D.any():\n", - " print \"Duty Cycle D : \",\n", - " for d in D:\n", - " print d,'\\t',\n", - "print ''\n", - "if FF.all():\n", - " print \" FF % : \",\n", - " for ff in FF:\n", - " print round(ff,2),'\\t',\n", - "\n", - "print ''\n", - "if RF.any():\n", - " print \" RF % : \",\n", - " for rf in RF:\n", - " print round(rf,2),'\\t',\n", - "\n", - "% matplotlib inline\n", - "import matplotlib.pyplot as plt\n", - "plt.plot(D,FF)\n", - "plt.plot(D,RF) \n", - "plt.xlabel(\"DUTY CYCLE D\")\n", - "plt.ylabel(\"FF & RF (%)\")\n", - "plt.title(\"Variation of FF and RF with duty cycle D\")\n", - "plt.text(0.7,130,'FF %')\n", - "plt.text(0.7,70,'RF %')\n", - "plt.show()" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Duty Cycle D : 0.1 \t0.2 \t0.3 \t0.4 \t0.5 \t0.6 \t0.7 \t0.8 \t0.9 \t1.0 \t\n", - " FF % : 316.23 \t223.61 \t182.57 \t158.11 \t141.42 \t129.1 \t119.52 \t111.8 \t105.41 \t100.0 \t\n", - " RF % : 300.0 \t200.0 \t152.75 \t122.47 \t100.0 \t81.65 \t65.47 \t50.0 \t33.33 \t0.0 \t" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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t30IwxoRBqBPEDmA8J4a23gR87D1WVe2Xh1hzrbAkCIDVf62m68ddaVe7HaPa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\nAAAAAElFTkSuQmCC\n", - "text": [ - "<matplotlib.figure.Figure at 0x7fa03d1e3fd0>" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.6: 6-10" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#Average output voltage,RMS output voltage,chopper efficiency and Effective input resistance\n", - "#given data :\n", - "r=10 #in ohms\n", - "d=0.3 #\n", - "v=230 #\n", - "vch=1.5 #in volts\n", - "D=80/100 # duty cycle\n", - "V=220 # in volts\n", - "Vch=1.5 #in volts\n", - "VL_dc=D*(V-Vch) \n", - "print \"part (a)\"\n", - "print \"Average output voltage, VL_dc = %0.2f V \" %VL_dc\n", - "print \"part (b)\"\n", - "VL_rms=sqrt(D)*(V-Vch) \n", - "print \"RMS output voltage, VL_rms = %0.2f V \" %VL_rms\n", - "print \"part (c)\"\n", - "Po=((v-vch)**2)*(d/r) #in watts\n", - "Pi=((d*v*(v-vch))/r) #in watts\n", - "cn=Po/Pi #chopper efficiency\n", - "print \"chopper efficiency = %0.4f or %0.1f %%\"%(cn,cn*100)\n", - "print \"part (d)\"\n", - "D=80/100 # duty cycle\n", - "R=20 #in ohm\n", - "Ri=R/D \n", - "print \"Effective input resistance, Ri = %0.2f ohm\" %Ri" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Average output voltage, VL_dc = 174.80 V \n", - "part (b)\n", - "RMS output voltage, VL_rms = 195.43 V \n", - "part (c)\n", - "chopper efficiency = 0.9935 or 99.3 %\n", - "part (d)\n", - "Effective input resistance, Ri = 25.00 ohm\n" - ] - } - ], - "prompt_number": 6 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.7 : page 6-11" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#average output voltage and current\n", - "#given data :\n", - "vs=120 #in volts\n", - "vb=1 #in volts\n", - "d=0.33 #\n", - "rl=10 #in ohms\n", - "f=200 #in Hz\n", - "Vldc=d*vs #\n", - "Ildc=round(Vldc)/rl #in amperes\n", - "print \"average/DC output voltage = %0.f V\" %round(Vldc)\n", - "print \"average load current = %0.f A\" %Ildc" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "average/DC output voltage = 40 V\n", - "average load current = 4 A\n" - ] - } - ], - "prompt_number": 7 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.6.5 : page 6-20" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Average armature current\n", - "#given data :\n", - "V=200 # in volts\n", - "D=50/100 # duty cycle\n", - "VL_dc=V*D \n", - "Eb=75 # in volts\n", - "Ra=1 # in ohm\n", - "Ia=(VL_dc-Eb)/Ra \n", - "print \"Average armature current, Ia = %0.2f A \" %Ia" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Average armature current, Ia = 25.00 A \n" - ] - } - ], - "prompt_number": 8 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.6.6 : page 6-21" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import exp, array, linalg\n", - "#minimum instantaneous load current,peak instantaneous current and maximum peak to peak ripple\n", - "v=220 #volts\n", - "r=10 #in ohms\n", - "l=15.5 #in mH\n", - "f=5 #in kHz\n", - "Eb=20 #in volts\n", - "d=0.5 #\n", - "x=exp((-(1-d)*r)/(f*10**3*l*10**-3)) #\n", - "y=(1-x)*(Eb/r) #\n", - "y1=(1-x)*((v-Eb)/r) #\n", - "A=array([[0.94, -0.94*0.94],[0.94, -1] ])\n", - "B=array([-0.94*0.125, -1.25] )\n", - "X=linalg.solve(A,B) #\n", - "print \"part (a)\"\n", - "print \"minimum instantaneous current = %0.2f A\" %X[0]\n", - "print \"part (b)\"\n", - "print \"peak instantaneous current = %0.2f A\" % X[1]\n", - "print \"part (c)\"\n", - "PP=X[1]-X[0]\n", - "print \"maximum peak to peak ripple in the load current = %0.3f A\" %PP" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "minimum instantaneous current = 9.02 A\n", - "part (b)\n", - "peak instantaneous current = 9.73 A\n", - "part (c)\n", - "maximum peak to peak ripple in the load current = 0.709 A\n" - ] - } - ], - "prompt_number": 9 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.6.7 page 6-21" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#inductance\n", - "v=220 #in volts\n", - "r=0.2 #in ohms\n", - "ia=200 #in amperes\n", - "f=200 #in hz\n", - "di=0.05*ia #in amperes\n", - "e=0 #in volts\n", - "d=0.5 #\n", - "l=((1-d)*v*d*(1/f))/di #\n", - "print \"inductance = %0.2f mH\" %(l*10**3)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "inductance = 27.50 mH\n" - ] - } - ], - "prompt_number": 10 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.6.9: 6-24" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import log, pi, sin\n", - "#load current is continuous or not,Average output current , \n", - "#maximum and minimum steady state output current and RMS values of first and second harmonics of the load current\n", - "#given data :\n", - "V=220 #in volts\n", - "La=5 # in mH\n", - "Eb=24 #in volts\n", - "Ra=1 # in ohm\n", - "T=2 #in m-sec\n", - "D=0.6/2 \n", - "D_dash=(La/(T*Ra))*log(1-((Eb/V)*(1-exp((T*Ra)/La)))) \n", - "print \"part (c)\"\n", - "print \"As D =\",D,\"% is greater then D_dash =\",round(D_dash,3),\"% so load current is continous.\"\n", - "print \"part (d)\"\n", - "Io=((D*V)-Eb)/Ra \n", - "print \"Average output current,Io(A) = \",Io\n", - "I_max=(V/Ra)*((1-exp(-(D*T*Ra)/La))/(1-exp(-(T*Ra)/La)))-(Eb/Ra) \n", - "print \"Maximum steady state putput current, I_max = %0.2f A \" %I_max\n", - "I_min=(V/Ra)*((1-exp((D*T*Ra)/La))/(1-exp((T*Ra)/La)))-(Eb/Ra) \n", - "print \"Minimum steady state output current, I_min = %0.2f A\" %round(I_min)\n", - "print \"part (e)\"\n", - "C1_rms=((2*V)/(pi*sqrt(2)))*sin(pi*D) # in volts\n", - "C2_rms=((2*V)/(2*pi*sqrt(2)))*sin(2*pi*D) # in volts\n", - "Z1=((Ra**2+(2*pi*La*10**-3*(1/(T*10**-3)))**2)**(1/2)) #\n", - "Z2=((Ra**2+(2*2*pi*La*10**-3*(1/(T*10**-3)))**2)**(1/2)) #\n", - "Ifl=C1_rms/Z1 #in amperes\n", - "Ifl1=C2_rms/Z2 #in amperes\n", - "print \"fundamental component of load current = %0.2f A\" %Ifl\n", - "print \"second harmonic component of load current = %0.2f A\" %Ifl1" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (c)\n", - "As D = 0.3 % is greater then D_dash = 0.131 % so load current is continous.\n", - "part (d)\n", - "Average output current,Io(A) = 42.0\n", - "Maximum steady state putput current, I_max = 51.46 A \n", - "Minimum steady state output current, I_min = 33.00 A\n", - "part (e)\n", - "fundamental component of load current = 5.09 A\n", - "second harmonic component of load current = 1.50 A\n" - ] - } - ], - "prompt_number": 11 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.6.11: page 6-27" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#value of current limiting resistor ,maximum and minimum duty cycle\n", - "#given data :\n", - "v=325 #in volts\n", - "eb=120 #in volts\n", - "r=0.2 #in ohms\n", - "ra=0.3 #in ohms\n", - "e=120 #in volts\n", - "rb=0.2 #in ohms\n", - "rl=0.3 #in ohms\n", - "d=60 #in percentage\n", - "i=20 #in amperes\n", - "vo=(d/100)*v #\n", - "R=((i*rl)-(v-eb)+(i*rb))/(-i) #\n", - "print \"part (a)\"\n", - "print \"value of current limiting resistor = %0.2f ohm\" %R\n", - "#value of current limiting resistor is calculated wrong in the textbook\n", - "print \"part (b)\"\n", - "p=15 #\n", - "R=9.45 #\n", - "vmax=v+(v*(p/100)) #\n", - "vmin=v-(v*(p/100)) #\n", - "Dmax=((i*R)/vmin)*100 #\n", - "Dmin=((i*R)/vmax)*100 #\n", - "print \"maximum duty cycle = %0.2f %%\" %Dmax\n", - "print \"minimum duty cycle = %0.2f %%\" %Dmin" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "value of current limiting resistor = 9.75 ohm\n", - "part (b)\n", - "maximum duty cycle = 68.42 %\n", - "minimum duty cycle = 50.57 %\n" - ] - } - ], - "prompt_number": 12 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.9.1 : page 6-39" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "# pulse width and output voltage\n", - "#given data :\n", - "v=220 #in volts\n", - "vo=660 #in volts\n", - "toff=100 #in micro seconds\n", - "ton=((vo*toff)/v)-toff #in micro secondsT=ton+toff #in micro seconds\n", - "T=ton+toff \n", - "f=(1/T) #in Hz\n", - "Vo=((v)/(1-(f*(ton/2)))) #in volts\n", - "print \"pulse width (ton) = %0.f micro seconds\"%ton\n", - "print \"new output voltage = %0.f V\" %Vo" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "pulse width (ton) = 200 micro seconds\n", - "new output voltage = 330 V\n" - ] - } - ], - "prompt_number": 13 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.9.2 : page 6-40" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#chopping frequency and new output voltage\n", - "#given data :\n", - "v=200 #in volts\n", - "vo=600 #in volts\n", - "ton=200 #in micro seconds\n", - "x=-((v/vo)-1) #\n", - "f=x/(ton*10**-6) #\n", - "ton1=ton/2 #\n", - "Vo=((v)/(1-(f*ton1*10**-6))) #in volts\n", - "print \"chopping frequency = %0.2f Hz\"%f\n", - "print \"new output voltage = %0.2f V\"%Vo" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "chopping frequency = 3333.33 Hz\n", - "new output voltage = 300.00 V\n" - ] - } - ], - "prompt_number": 14 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter6_1.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter6_1.ipynb deleted file mode 100755 index fae89a4b..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter6_1.ipynb +++ /dev/null @@ -1,742 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:d435622fb1baa95a06f9d3e71f4cf43942d9156a2117df3b2f8d5d3555535a6d" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter6, Choppers" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.1: page 6-7" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import sqrt\n", - "#average load voltage,RMS load voltage ,Form factor and Ripple factor\n", - "#given data \n", - "f=1.0 #in kHz\n", - "t=1/f #in ms\n", - "d=0.3 #\n", - "v=200 #\n", - "vch=2 #in volts\n", - "vldc=(v-vch)*d #average load voltage in volts\n", - "print \"part (a)\"\n", - "print \"average load voltage = %0.2f V\" %vldc\n", - "print \"part (b)\"\n", - "vlrms=(v-vch)*sqrt(d) #RMS load voltage in volts\n", - "print \"RMS load voltage = %0.1f V\" %vlrms\n", - "print \"part (c)\"\n", - "FF=vlrms/vldc #\n", - "print \"form factor = %0.4f or %0.2f %%\"%(FF,FF*100)\n", - "print \"part (d)\"\n", - "rf=sqrt(FF**2-1) #\n", - "print \"ripple factor = %0.3f or %0.2f %%\"%(rf,rf*100)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "average load voltage = 59.40 V\n", - "part (b)\n", - "RMS load voltage = 108.4 V\n", - "part (c)\n", - "form factor = 1.8257 or 182.57 %\n", - "part (d)\n", - "ripple factor = 1.528 or 152.75 %\n" - ] - } - ], - "prompt_number": 1 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.2: page 6-7" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#chooper efficiency,input resistance and average load current\n", - "#given data \n", - "r=10 #in ohms\n", - "f=1 #in kHz\n", - "t=1/f #in ms\n", - "d=0.3 #\n", - "v=200 #\n", - "vch=2 #in volts\n", - "Po=((v-vch)**2)*(d/r) #in watts\n", - "Pi=((d*v*(v-vch))/r) #in watts\n", - "cn=Po/Pi #chopper efficiency\n", - "print \"part (a)\"\n", - "print \"chopper efficiency = %0.3f or %0.2f %%\"%(cn,cn*100)\n", - "print \"part (b)\"\n", - "R1=r/d #\n", - "print \"input resistance = %0.2f ohm \" %R1\n", - "print \"part (c)\"\n", - "vldc=59.4 #V\n", - "r=10 #ohm\n", - "Ildc=vldc/r #amp\n", - "print \"average load current = %0.2f A\" %Ildc" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "chopper efficiency = 0.990 or 99.00 %\n", - "part (b)\n", - "input resistance = 33.33 ohm \n", - "part (c)\n", - "average load current = 5.94 A\n" - ] - } - ], - "prompt_number": 2 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.3: 6-8" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Duty Cycle,Average Load voltage and RMS Load Voltage\n", - "#given data \n", - "V=200 # in volts\n", - "T_on=500*10**-6 \n", - "f=1*10**3 # in Hz\n", - "D=T_on*f \n", - "print \"part (a)\"\n", - "print \"duty cycle =\",D,\"or\",D*100,\"%\"\n", - "print \"part (b)\"\n", - "VL_dc=D*V \n", - "print \"Average Load Voltage = %0.2f V\" %(VL_dc)\n", - "print \"part (c)\"\n", - "VL_rms=sqrt(D)*V \n", - "print \"RMS Load Voltage, VL_rms = %0.f V\" %VL_rms\n", - "#part c answer is calculated wrong in book" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "duty cycle = 0.5 or 50.0 %\n", - "part (b)\n", - "Average Load Voltage = 100.00 V\n", - "part (c)\n", - "RMS Load Voltage, VL_rms = 141 V\n" - ] - } - ], - "prompt_number": 3 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.4: page 6-8" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#average load voltage and rms load voltage\n", - "#given data \n", - "from numpy import arange, nditer, array\n", - "Sr = arange(1,11)\n", - "d = arange(0,1.1,0.1)\n", - "vldc = d\n", - "def rms(d):\n", - " it = nditer([d, None])\n", - " for x, y in it:\n", - " y[...] = sqrt(x)\n", - " return it.operands[1]\n", - "vlrms = rms(d)\n", - "Z = vldc\n", - "U = vlrms\n", - "%matplotlib inline\n", - "import matplotlib.pyplot as plt\n", - "plt.plot(d,vlrms) \n", - "plt.plot(d,vldc) \n", - "plt.xlabel(\"DUTY CYCLE D\")\n", - "plt.ylabel(\"Vldc & Vlrms Volts\")\n", - "plt.title(\"Variation of Vldc and Vlrms with duty cycle D\")\n", - "plt.text(0.5,0.4,'VLdc')\n", - "plt.text(0.3,0.7,'VLrms')\n", - "plt.show()\n", - "print \"Sr.No\\t\\t\\tDuty Cycle D\\t\\t\\tAvg. Load Voltage\\t\\t\\tRMS load voltage\"\n", - "for i,d,z,u in nditer([range(1,12),d,Z,U]):\n", - " print ' ',i,'\\t\\t\\t ',d,'\\t\\t\\t\\t\\t',z,'\\t\\t\\t\\t %0.3f'%u\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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5p7QUZs1ylcGUKdCunWsqOv98qFs3sdtKZZVgfQzGGFOBJUtcMhg/3iWAPn1g0SLYf/9g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\niWVVgjEmGYJODDEPVxaRU4H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- "text": [ - "<matplotlib.figure.Figure at 0x7fa03d2b6cd0>" - ] - }, - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Sr.No\t\t\tDuty Cycle D\t\t\tAvg. Load Voltage\t\t\tRMS load voltage\n", - " 1 \t\t\t 0.0 \t\t\t\t\t0.0 \t\t\t\t 0.000\n", - " 2 \t\t\t 0.1 \t\t\t\t\t0.1 \t\t\t\t 0.316\n", - " 3 \t\t\t 0.2 \t\t\t\t\t0.2 \t\t\t\t 0.447\n", - " 4 \t\t\t 0.3 \t\t\t\t\t0.3 \t\t\t\t 0.548\n", - " 5 \t\t\t 0.4 \t\t\t\t\t0.4 \t\t\t\t 0.632\n", - " 6 \t\t\t 0.5 \t\t\t\t\t0.5 \t\t\t\t 0.707\n", - " 7 \t\t\t 0.6 \t\t\t\t\t0.6 \t\t\t\t 0.775\n", - " 8 \t\t\t 0.7 \t\t\t\t\t0.7 \t\t\t\t 0.837\n", - " 9 \t\t\t 0.8 \t\t\t\t\t0.8 \t\t\t\t 0.894\n", - " 10 \t\t\t 0.9 \t\t\t\t\t0.9 \t\t\t\t 0.949\n", - " 11 \t\t\t 1.0 \t\t\t\t\t1.0 \t\t\t\t 1.000\n" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.5: page 6-9" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import arange, nditer, sqrt\n", - "#average load voltage and rms load voltage\n", - "#given data \n", - "D=arange(0.1,1.1,0.1)\n", - "def fun1(D):\n", - " it=nditer([D, None])\n", - " for x, y in it:\n", - " y[...] = 1/sqrt(x)*100\n", - " return it.operands[1] \n", - "\n", - "FF = fun1(D)\n", - "def fun2(FF):\n", - " it = nditer([FF, None])\n", - " for x,y in it:\n", - " y[...] = sqrt((x/100)**2-1)*100\n", - " return it.operands[1]\n", - "\n", - "RF = fun2(FF)\n", - "\n", - "if D.any():\n", - " print \"Duty Cycle D : \",\n", - " for d in D:\n", - " print d,'\\t',\n", - "print ''\n", - "if FF.all():\n", - " print \" FF % : \",\n", - " for ff in FF:\n", - " print round(ff,2),'\\t',\n", - "\n", - "print ''\n", - "if RF.any():\n", - " print \" RF % : \",\n", - " for rf in RF:\n", - " print round(rf,2),'\\t',\n", - "\n", - "% matplotlib inline\n", - "import matplotlib.pyplot as plt\n", - "plt.plot(D,FF)\n", - "plt.plot(D,RF) \n", - "plt.xlabel(\"DUTY CYCLE D\")\n", - "plt.ylabel(\"FF & RF (%)\")\n", - "plt.title(\"Variation of FF and RF with duty cycle D\")\n", - "plt.text(0.7,130,'FF %')\n", - "plt.text(0.7,70,'RF %')\n", - "plt.show()" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Duty Cycle D : 0.1 \t0.2 \t0.3 \t0.4 \t0.5 \t0.6 \t0.7 \t0.8 \t0.9 \t1.0 \t\n", - " FF % : 316.23 \t223.61 \t182.57 \t158.11 \t141.42 \t129.1 \t119.52 \t111.8 \t105.41 \t100.0 \t\n", - " RF % : 300.0 \t200.0 \t152.75 \t122.47 \t100.0 \t81.65 \t65.47 \t50.0 \t33.33 \t0.0 \t" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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t30IwxoRBqBPEDmA8J4a23gR87D1WVe2Xh1hzrbAkCIDVf62m68ddaVe7HaPa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\nAAAAAElFTkSuQmCC\n", - "text": [ - "<matplotlib.figure.Figure at 0x7fa03d1e3fd0>" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.6: 6-10" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#Average output voltage,RMS output voltage,chopper efficiency and Effective input resistance\n", - "#given data :\n", - "r=10 #in ohms\n", - "d=0.3 #\n", - "v=230 #\n", - "vch=1.5 #in volts\n", - "D=80/100 # duty cycle\n", - "V=220 # in volts\n", - "Vch=1.5 #in volts\n", - "VL_dc=D*(V-Vch) \n", - "print \"part (a)\"\n", - "print \"Average output voltage, VL_dc = %0.2f V \" %VL_dc\n", - "print \"part (b)\"\n", - "VL_rms=sqrt(D)*(V-Vch) \n", - "print \"RMS output voltage, VL_rms = %0.2f V \" %VL_rms\n", - "print \"part (c)\"\n", - "Po=((v-vch)**2)*(d/r) #in watts\n", - "Pi=((d*v*(v-vch))/r) #in watts\n", - "cn=Po/Pi #chopper efficiency\n", - "print \"chopper efficiency = %0.4f or %0.1f %%\"%(cn,cn*100)\n", - "print \"part (d)\"\n", - "D=80/100 # duty cycle\n", - "R=20 #in ohm\n", - "Ri=R/D \n", - "print \"Effective input resistance, Ri = %0.2f ohm\" %Ri" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Average output voltage, VL_dc = 174.80 V \n", - "part (b)\n", - "RMS output voltage, VL_rms = 195.43 V \n", - "part (c)\n", - "chopper efficiency = 0.9935 or 99.3 %\n", - "part (d)\n", - "Effective input resistance, Ri = 25.00 ohm\n" - ] - } - ], - "prompt_number": 6 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.5.7 : page 6-11" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#average output voltage and current\n", - "#given data :\n", - "vs=120 #in volts\n", - "vb=1 #in volts\n", - "d=0.33 #\n", - "rl=10 #in ohms\n", - "f=200 #in Hz\n", - "Vldc=d*vs #\n", - "Ildc=round(Vldc)/rl #in amperes\n", - "print \"average/DC output voltage = %0.f V\" %round(Vldc)\n", - "print \"average load current = %0.f A\" %Ildc" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "average/DC output voltage = 40 V\n", - "average load current = 4 A\n" - ] - } - ], - "prompt_number": 7 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.6.5 : page 6-20" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Average armature current\n", - "#given data :\n", - "V=200 # in volts\n", - "D=50/100 # duty cycle\n", - "VL_dc=V*D \n", - "Eb=75 # in volts\n", - "Ra=1 # in ohm\n", - "Ia=(VL_dc-Eb)/Ra \n", - "print \"Average armature current, Ia = %0.2f A \" %Ia" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Average armature current, Ia = 25.00 A \n" - ] - } - ], - "prompt_number": 8 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.6.6 : page 6-21" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import exp, array, linalg\n", - "#minimum instantaneous load current,peak instantaneous current and maximum peak to peak ripple\n", - "v=220 #volts\n", - "r=10 #in ohms\n", - "l=15.5 #in mH\n", - "f=5 #in kHz\n", - "Eb=20 #in volts\n", - "d=0.5 #\n", - "x=exp((-(1-d)*r)/(f*10**3*l*10**-3)) #\n", - "y=(1-x)*(Eb/r) #\n", - "y1=(1-x)*((v-Eb)/r) #\n", - "A=array([[0.94, -0.94*0.94],[0.94, -1] ])\n", - "B=array([-0.94*0.125, -1.25] )\n", - "X=linalg.solve(A,B) #\n", - "print \"part (a)\"\n", - "print \"minimum instantaneous current = %0.2f A\" %X[0]\n", - "print \"part (b)\"\n", - "print \"peak instantaneous current = %0.2f A\" % X[1]\n", - "print \"part (c)\"\n", - "PP=X[1]-X[0]\n", - "print \"maximum peak to peak ripple in the load current = %0.3f A\" %PP" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "minimum instantaneous current = 9.02 A\n", - "part (b)\n", - "peak instantaneous current = 9.73 A\n", - "part (c)\n", - "maximum peak to peak ripple in the load current = 0.709 A\n" - ] - } - ], - "prompt_number": 9 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.6.7 page 6-21" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "#inductance\n", - "v=220 #in volts\n", - "r=0.2 #in ohms\n", - "ia=200 #in amperes\n", - "f=200 #in hz\n", - "di=0.05*ia #in amperes\n", - "e=0 #in volts\n", - "d=0.5 #\n", - "l=((1-d)*v*d*(1/f))/di #\n", - "print \"inductance = %0.2f mH\" %(l*10**3)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "inductance = 27.50 mH\n" - ] - } - ], - "prompt_number": 10 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.6.9: 6-24" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import log, pi, sin\n", - "#load current is continuous or not,Average output current , \n", - "#maximum and minimum steady state output current and RMS values of first and second harmonics of the load current\n", - "#given data :\n", - "V=220 #in volts\n", - "La=5 # in mH\n", - "Eb=24 #in volts\n", - "Ra=1 # in ohm\n", - "T=2 #in m-sec\n", - "D=0.6/2 \n", - "D_dash=(La/(T*Ra))*log(1-((Eb/V)*(1-exp((T*Ra)/La)))) \n", - "print \"part (c)\"\n", - "print \"As D =\",D,\"% is greater then D_dash =\",round(D_dash,3),\"% so load current is continous.\"\n", - "print \"part (d)\"\n", - "Io=((D*V)-Eb)/Ra \n", - "print \"Average output current,Io(A) = \",Io\n", - "I_max=(V/Ra)*((1-exp(-(D*T*Ra)/La))/(1-exp(-(T*Ra)/La)))-(Eb/Ra) \n", - "print \"Maximum steady state putput current, I_max = %0.2f A \" %I_max\n", - "I_min=(V/Ra)*((1-exp((D*T*Ra)/La))/(1-exp((T*Ra)/La)))-(Eb/Ra) \n", - "print \"Minimum steady state output current, I_min = %0.2f A\" %round(I_min)\n", - "print \"part (e)\"\n", - "C1_rms=((2*V)/(pi*sqrt(2)))*sin(pi*D) # in volts\n", - "C2_rms=((2*V)/(2*pi*sqrt(2)))*sin(2*pi*D) # in volts\n", - "Z1=((Ra**2+(2*pi*La*10**-3*(1/(T*10**-3)))**2)**(1/2)) #\n", - "Z2=((Ra**2+(2*2*pi*La*10**-3*(1/(T*10**-3)))**2)**(1/2)) #\n", - "Ifl=C1_rms/Z1 #in amperes\n", - "Ifl1=C2_rms/Z2 #in amperes\n", - "print \"fundamental component of load current = %0.2f A\" %Ifl\n", - "print \"second harmonic component of load current = %0.2f A\" %Ifl1" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (c)\n", - "As D = 0.3 % is greater then D_dash = 0.131 % so load current is continous.\n", - "part (d)\n", - "Average output current,Io(A) = 42.0\n", - "Maximum steady state putput current, I_max = 51.46 A \n", - "Minimum steady state output current, I_min = 33.00 A\n", - "part (e)\n", - "fundamental component of load current = 5.09 A\n", - "second harmonic component of load current = 1.50 A\n" - ] - } - ], - "prompt_number": 11 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.6.11: page 6-27" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#value of current limiting resistor ,maximum and minimum duty cycle\n", - "#given data :\n", - "v=325 #in volts\n", - "eb=120 #in volts\n", - "r=0.2 #in ohms\n", - "ra=0.3 #in ohms\n", - "e=120 #in volts\n", - "rb=0.2 #in ohms\n", - "rl=0.3 #in ohms\n", - "d=60 #in percentage\n", - "i=20 #in amperes\n", - "vo=(d/100)*v #\n", - "R=((i*rl)-(v-eb)+(i*rb))/(-i) #\n", - "print \"part (a)\"\n", - "print \"value of current limiting resistor = %0.2f ohm\" %R\n", - "#value of current limiting resistor is calculated wrong in the textbook\n", - "print \"part (b)\"\n", - "p=15 #\n", - "R=9.45 #\n", - "vmax=v+(v*(p/100)) #\n", - "vmin=v-(v*(p/100)) #\n", - "Dmax=((i*R)/vmin)*100 #\n", - "Dmin=((i*R)/vmax)*100 #\n", - "print \"maximum duty cycle = %0.2f %%\" %Dmax\n", - "print \"minimum duty cycle = %0.2f %%\" %Dmin" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "value of current limiting resistor = 9.75 ohm\n", - "part (b)\n", - "maximum duty cycle = 68.42 %\n", - "minimum duty cycle = 50.57 %\n" - ] - } - ], - "prompt_number": 12 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.9.1 : page 6-39" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "# pulse width and output voltage\n", - "#given data :\n", - "v=220 #in volts\n", - "vo=660 #in volts\n", - "toff=100 #in micro seconds\n", - "ton=((vo*toff)/v)-toff #in micro secondsT=ton+toff #in micro seconds\n", - "T=ton+toff \n", - "f=(1/T) #in Hz\n", - "Vo=((v)/(1-(f*(ton/2)))) #in volts\n", - "print \"pulse width (ton) = %0.f micro seconds\"%ton\n", - "print \"new output voltage = %0.f V\" %Vo" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "pulse width (ton) = 200 micro seconds\n", - "new output voltage = 330 V\n" - ] - } - ], - "prompt_number": 13 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 6.9.2 : page 6-40" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#chopping frequency and new output voltage\n", - "#given data :\n", - "v=200 #in volts\n", - "vo=600 #in volts\n", - "ton=200 #in micro seconds\n", - "x=-((v/vo)-1) #\n", - "f=x/(ton*10**-6) #\n", - "ton1=ton/2 #\n", - "Vo=((v)/(1-(f*ton1*10**-6))) #in volts\n", - "print \"chopping frequency = %0.2f Hz\"%f\n", - "print \"new output voltage = %0.2f V\"%Vo" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "chopping frequency = 3333.33 Hz\n", - "new output voltage = 300.00 V\n" - ] - } - ], - "prompt_number": 14 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter8.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter8.ipynb deleted file mode 100755 index d3af51e4..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter8.ipynb +++ /dev/null @@ -1,806 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:9acc72237a22bafac745af0975ba25d35e2bd8c4f39083e9c7def597741576b5" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter8, Control of DC drives" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.12.1: page 8-26" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import pi\n", - "#back emf ,Required armature voltage and Rated armatuer current\n", - "#given data :\n", - "TL=45 # in N-M\n", - "N=1200 #in rpm\n", - "Rf=147 #in ohm\n", - "Ra=25 # in ohm\n", - "Kv=0.7032 \n", - "w=(2*pi*N)/60 \n", - "Vf=220 #in volts\n", - "Kt=Kv \n", - "If=Vf/Rf \n", - "T=TL \n", - "Ia=T/(Kt*If) \n", - "Eg=Kv*w*If \n", - "print \"part (a)\"\n", - "print \"Back emf,Eg = %0.2f Volts\" %Eg\n", - "print \"part (b)\"\n", - "Ea=(Ia*(Ra/100))+Eg \n", - "print \"Required armature voltage, Ea = %0.2f V\"%Ea\n", - "print \"part (c)\"\n", - "rac=11191.4/Vf #\n", - "print \"rated armature current = %0.2f A\" %rac" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Back emf,Eg = 132.25 Volts\n", - "part (b)\n", - "Required armature voltage, Ea = 142.94 V\n", - "part (c)\n", - "rated armature current = 50.87 A\n" - ] - } - ], - "prompt_number": 22 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.12.2: page 8-27" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import sqrt, cos, pi, acos\n", - "#the field current,Evaluation of alfa,Evaluation of power factor\n", - "#given data :\n", - "TL=50 # in N-M\n", - "N=1000 #in rpm\n", - "Rf=150 #in ohm\n", - "Ra=.25 # in ohm\n", - "Kv=0.7032 \n", - "alfa=0 \n", - "Vm=230 # in volts\n", - "Ef=((Vm*sqrt(2))/pi)*(1+cos(pi/180*alfa)) \n", - "If=Ef/Rf \n", - "print \"part (a)\"\n", - "print \"Field current, If = %0.2f A\" %If\n", - "print \"part (b)\"\n", - "w=(2*pi*N)/60 \n", - "Ia=TL/(Kv*If) \n", - "Eg=Kv*w*If \n", - "Ea=Eg+(Ra*Ia) \n", - "alfa_a=acos(((Ea*pi)/(Vm*sqrt(2)))-1)*180/pi \n", - "print \"angle = %0.2f degree\" %alfa_a\n", - "print \"part (c)\"\n", - "Ismax=Ia*((180-alfa_a)/180)**(1/2) #in amperes\n", - "PF=((Ea*Ia)/(Vm*Ismax)) #lagging\n", - "print \"power factor = %0.3f lagging\" %PF" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Field current, If = 1.38 A\n", - "part (b)\n", - "angle = 83.90 degree\n", - "part (c)\n", - "power factor = 0.682 lagging\n" - ] - } - ], - "prompt_number": 24 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.12.3: page 8-29" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#torque \n", - "#given data :\n", - "Ia=50 # in A\n", - "Rf=150 #in ohm\n", - "Ra=.25 # in ohm\n", - "Kv=1.4 # in V/A-rad/sec\n", - "alfa_f=0 \n", - "alfa_a=45 # in degree\n", - "Vm=230*sqrt(2) # in volts\n", - "Vs=230 # in volts\n", - "Ef=((2*Vm)/pi)*(cos(pi/180*alfa_f)) \n", - "If=Ef/Rf \n", - "T=Kv*Ia*If \n", - "print \"part (a)\"\n", - "print \"Torque developed by the motor, T = %0.2f N/m\" %T\n", - "Ea=((2*Vm)/pi)*(cos(pi/180*alfa_a)) \n", - "Eg=Ea-(Ia*Ra) \n", - "w=Eg/(Kv*If) \n", - "N=(w/(2*pi))*60 \n", - "print \"part (b)\"\n", - "print \"Speed, N = %0.2f rpm \"%N\n", - "print \"part (c)\"\n", - "Ea=Eg+(Ra*Ia) \n", - "alfa_a=180/pi*acos(((Ea*pi)/(Vm*sqrt(2)))-1) \n", - "Ismax=Ia*((180-alfa_a)/180)**(1/2) #in amperes\n", - "PF=((Ea*Ia)/(Vm*Ismax)) #lagging\n", - "print \"power factor = %0.4f lagging\" %PF\n", - "#supply power factor is calculated wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Torque developed by the motor, T = 96.63 N/m\n", - "part (b)\n", - "Speed, N = 661.71 rpm \n", - "part (c)\n", - "power factor = 0.6366 lagging\n" - ] - } - ], - "prompt_number": 26 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.12.4: page 8-32" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Motor torque\n", - "#given data :\n", - "Vs_rms=230 # in volts\n", - "N=1200 # in rpm\n", - "Ia=40 # in A\n", - "Ra=0.25 #in ohm\n", - "Ka_fi1=0.182 # in V/rpm\n", - "Ka_fi=(0.182*60)/(2*pi) \n", - "alfa_a=30 \n", - "T=Ka_fi*Ia \n", - "print \"part (a)\"\n", - "print \"Motor torque, T = %0.1f N-m\" %T\n", - "print \"part (b)\"\n", - "Ea=((2*sqrt(2)*Vs_rms)/pi)*(cos(alfa_a*pi/180)) \n", - "N=(Ea-(Ra*Ia))/Ka_fi1 \n", - "print \"Speed of the motor, N = %0.1f rpm \"%N\n", - "print \"part (c)\"\n", - "Is_rms=Ia \n", - "PF=(Ea*Ia)/(Vs_rms*Is_rms) \n", - "print \"Power factor, PF = %0.4f lagging\" %PF" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Motor torque, T = 69.5 N-m\n", - "part (b)\n", - "Speed of the motor, N = 930.4 rpm \n", - "part (c)\n", - "Power factor, PF = 0.7797 lagging\n" - ] - } - ], - "prompt_number": 30 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.12.6 : page " - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import arange, nditer\n", - "#Torque speed charaterstics\n", - "#given data :\n", - "v=230 #in volts\n", - "vm=sqrt(2)*v #in clts\n", - "Ka=1 \n", - "QR=1 #\n", - "ra=0.05 #\n", - "alpha=30 #in degree\n", - "y=(60/(2*pi)) #\n", - "z=((vm/pi)*(1+cos(pi/180*alpha))) #\n", - "x=(ra/(0.5)**2)\n", - "i = arange(0,9)\n", - "def func(i):\n", - " it = nditer([i, None])\n", - " for a, b in it:\n", - " b[...] = (z-a*x)*y\n", - " return it.operands[1]\n", - "\n", - "\n", - "wm = func(i)\n", - "print \"varoius values of speed in RPM is\"\n", - "for x in nditer([wm]):\n", - " print x,'\\t',\n", - "T=arange(0,9)\n", - "\n", - "###############PLOT#############\n", - "\n", - "\n", - "%matplotlib inline\n", - "import matplotlib.pyplot as plt\n", - "plt.plot(T, wm)\n", - "plt.xlabel(\"Torque ,N-m\")\n", - "plt.ylabel(\"Speed (rpm) for alpha=30 degree\")\n", - "plt.show()\n", - "\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "varoius values of speed in RPM is\n", - "1844 \t1843 \t1841 \t1839 \t1837 \t1835 \t1833 \t1831 \t1829 \t" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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- "text": [ - "<matplotlib.figure.Figure at 0x7f3de8ed3d90>" - ] - } - ], - "prompt_number": 39 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.18.1: page 8-52" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import sqrt, degrees, pi, acos, cos\n", - "from __future__ import division\n", - "#No load speed ,firing angle ,Power Factor and speed regulation\n", - "#given data :\n", - "Ra=0.075 #in ohm\n", - "alfa1=0 # in degree\n", - "alfa2=30 # in degree\n", - "VL_rms=480 # in volts\n", - "Ka_fi=0.3 # in V/rms\n", - "Vs_rms=round(VL_rms/sqrt(3)) \n", - "Vm=sqrt(2)*Vs_rms \n", - "Ea=round((3*sqrt(3)*Vm*cos(pi/180*alfa1))/pi) \n", - "Ea1=((3*sqrt(3)*Vm*cos(alfa2*pi/180))/pi) \n", - "Ia=(10/100)*160 # in A\n", - "N_0=(Ea-Ia*Ra)/Ka_fi \n", - "N_30=(Ea1-Ia*Ra)/Ka_fi \n", - "print \"part (a)\"\n", - "print \"No load speed at alfa=0 degree = %0.2f rpm \"%N_0\n", - "print \"No load speed at alfa=30 degree = %0.2f rpm \"%N_30\n", - "print \"part (b)\"\n", - "Ia=160 # in A\n", - "N=1800 # in rpm\n", - "Eg=540 # in volts\n", - "Ea=(Eg+(Ia*Ra)) \n", - "alfa=degrees(acos((Ea*pi)/(3*sqrt(3)*Vm))) \n", - "print \"the firng angel, alfa = %0.1f degree \"%alfa\n", - "print \"part (c)\"\n", - "Is_rms=sqrt(2/3)*Ia \n", - "Sva=3*Vs_rms*Is_rms \n", - "PF=(Ea*Ia)/(Sva) \n", - "print \"Power Factor, PF = %0.4f lagging\"%PF\n", - "print \"part (d)\"\n", - "Ra=0.075 #in ohm\n", - "Ia=160 # in A\n", - "Ia1=16 # in A\n", - "Eg=540 # in volts\n", - "Ka_fi=0.3 # in V/rms\n", - "N=1800 # in rpm\n", - "Ea=(Eg+(Ia*Ra)) \n", - "Eg1=Ea-(Ia1*Ra) \n", - "N_0=Eg1/Ka_fi \n", - "SR=((N_0-N)/N)*100 \n", - "print \"Speed Regulation, SR = %0.2f %%\" %SR" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "No load speed at alfa=0 degree = 2156.00 rpm \n", - "No load speed at alfa=30 degree = 1866.41 rpm \n", - "part (b)\n", - "the firng angel, alfa = 31.6 degree \n", - "part (c)\n", - "Power Factor, PF = 0.8135 lagging\n", - "part (d)\n", - "Speed Regulation, SR = 2.00 %\n" - ] - } - ], - "prompt_number": 41 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.18.2: page 8-54" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Delay Angel of Armature,No load speed and speed regulation\n", - "#given data :\n", - "VL_rms=208 # in volts\n", - "Kv=1.2 # in V/A-rad/sec\n", - "Vs_rms=round(VL_rms/sqrt(3)) \n", - "Vm=sqrt(2)*Vs_rms \n", - "Rf=240 # in ohm\n", - "Ra=0.25 # in ohm\n", - "alfa_f=0 # in degree\n", - "V=280 # in volts\n", - "Twenty_HP=20*746 #in watt\n", - "Ia=Twenty_HP/V\n", - "Ef=round((3*sqrt(3)*Vm*cos(pi/180*alfa_f))/pi) \n", - "N=1800 \n", - "w=(N*2*pi)/60 \n", - "If=Ef/Rf \n", - "Eg=Kv*w*If \n", - "Ea=round(Eg+(Ia*Ra)) \n", - "alfa_a=degrees(acos((Ea*pi)/(3*sqrt(3)*Vm))) \n", - "print \"part (a)\"\n", - "print \"Delay Angel Of Armature, alfa_a = %0.2f degree\"%alfa_a\n", - "print \"part (b)\"\n", - "Ia1=(Ia*10)/100\n", - "Eg_noL=Ea-(Ia1*Ra) \n", - "w_0=(Eg_noL/(1.2*1.17)) # rad/sec\n", - "N_0=(w_0*60)/(2*pi) \n", - "print \"NO load speed at alfa|_a, = %0.2f \"%N_0\n", - "# no load speed is calculated wrong in textbook\n", - "print \"part (c)\"\n", - "SR=((N_0-N)/N)*100 \n", - "print \"Speed Regulation, SR = %0.2f %% \"%SR\n", - "# speed regulation is calculated wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Delay Angel Of Armature, alfa_a = 7.94 degree\n", - "part (b)\n", - "NO load speed at alfa|_a, = 1881.75 \n", - "part (c)\n", - "Speed Regulation, SR = 4.54 % \n" - ] - } - ], - "prompt_number": 42 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.18.3: page 8-56" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#alphas,speed and delay angle\n", - "#given data :\n", - "v1=208 #\n", - "vsrms=v1/sqrt(3) #\n", - "n=1000 #rpm\n", - "w=n*(pi/30) #in rad/s\n", - "ang=0 #\n", - "ef=((3*sqrt(3)*sqrt(2)*vsrms*cos(pi/180*ang))/pi) #in volts\n", - "rf=140 #in ohms\n", - "If=ef/rf #in amperes\n", - "t=120 #N-m\n", - "kv=1.2 #\n", - "ia=(t)/(kv*If) #in amperes\n", - "eg=kv*If*w #in volts\n", - "ra=0.25 #in ohms\n", - "ea=eg+(ia*ra) #\n", - "alpha=degrees(acos((ea*pi)/(3*sqrt(3)*sqrt(2)*vsrms)))\n", - "print \"part (a)\"\n", - "print \"alpha = %0.2f degree\"%round(alpha)\n", - "print \"part (b)\"\n", - "rf=140 #in ohms\n", - "If=ea/rf #in amperes\n", - "t=120 #N-m\n", - "kv=1.2 #\n", - "ia=(t)/(kv*If) #in amperes\n", - "ra=0.25 #in ohms\n", - "eg=ea-(ia*ra) #\n", - "w=(eg/(kv*If)) #in rad/s\n", - "N=w*(30/pi) #rpm\n", - "print \"speed = %0.2f rpm\" %N\n", - "#speed is calculated wrong in the textbook\n", - "print \"part (c)\"\n", - "n1=1000 #rpm\n", - "w=n1*(pi/30) #in rad/s\n", - "v1=208 #\n", - "vsrms=v1/sqrt(3) #\n", - "w1=(1800*(pi/30)) #\n", - "n=1800 #rpm\n", - "ang=0 #\n", - "T=120 #n-m\n", - "alphas=0 #\n", - "ang=0 #\n", - "ea=((3*sqrt(3)*sqrt(2)*vsrms*cos(pi/180*ang))/pi) #in volts\n", - "rf=140 #in ohms\n", - "If=ea/rf #in amperes\n", - "t=120 #N-m\n", - "kv=1.2 #\n", - "ia=(t)/(kv*If) #in amperes\n", - "ra=0.25 #in ohms\n", - "eg=ea-(ia*ra) #\n", - "if1=eg/(kv*w1) #in amperese\n", - "ef1=if1*rf #in volts\n", - "alphaf=degrees(acos((ef1*pi)/(3*sqrt(3)*120*sqrt(2)))) \n", - "print \"delay angle = %0.2f degree\"%alpha\n", - "# Ans in the textbook are not accurate." - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "alpha = 20.00 degree\n", - "part (b)\n", - "speed = 1058.39 rpm\n", - "part (c)\n", - "delay angle = 19.62 degree\n" - ] - } - ], - "prompt_number": 44 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.19.1: page 8-58" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Firing angle to keep the motor current and Power fed back \n", - "#given data :\n", - "Vs_rms=260 # in volts\n", - "Ia=40 # in A\n", - "Eg=192 #in volts\n", - "kv=0.182 # in V/rpm\n", - "Ra=0.3 # in ohm\n", - "Ea=Eg+(Ia*Ra) \n", - "alfa_a=degrees(acos((Ea*pi)/(2*Vs_rms*sqrt(2))) )\n", - "print \"part (a)\"\n", - "print \"Firing angle to keep motor current, alfa_a = %0.2f degree\" %alfa_a\n", - "Ea1=-Eg+(Ia*Ra) \n", - "alfa_b=degrees(acos((Ea1*pi)/(2*Vs_rms*sqrt(2))) )\n", - "print \"Firing angle, alfa_a = %0.2f degree\"%alfa_b\n", - "print \"part (b)\"\n", - "Ia=40 # in A\n", - "Eg=192 #in volts\n", - "Ra=0.3 # in ohm\n", - "Ea=-Eg+(Ia*Ra) \n", - "P=abs(Ea)*Ia \n", - "print \"Power fed back, P = %0.2f Watt\" %P" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Firing angle to keep motor current, alfa_a = 29.37 degree\n", - "Firing angle, alfa_a = 140.26 degree\n", - "part (b)\n", - "Power fed back, P = 7200.00 Watt\n" - ] - } - ], - "prompt_number": 45 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.19.2 : page 8-58" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Average armature voltage ,back emf ,speed of the motor , motor torque and supply power factor\n", - "#given data :\n", - "Vm=230 # in volts\n", - "Ia=40 # in A\n", - "Ra=0.5 # in ohm\n", - "Ka_fi=0.2 # in V/rpm\n", - "alfa=30 \n", - "Ea=(Vm*sqrt(2)*(1+cos(pi/180*alfa)))/pi \n", - "print \"part (a)\"\n", - "print \"Average armature current, Ea = %0.2f V\"%Ea\n", - "print \"part (b)\"\n", - "Eb=Ea-(Ia*Ra) \n", - "print \"Back emf, Eb = %0.2f V\"%Eb\n", - "print \"part (c)\"\n", - "N=Eb/Ka_fi \n", - "print \"Speed of the motor, N = %0.2f rpm\" %round(N)\n", - "print \"part (d)\"\n", - "Ka_fi1=(Ka_fi*60)/(2*pi) \n", - "T=Ka_fi1*Ia \n", - "print \"Torque, T = %0.1f N/m\" %T\n", - "print \"part (e)\"\n", - "alfa=pi/6 \n", - "PF=(2*sqrt(2)*cos(alfa/2)**2)/(sqrt(pi*(pi-alfa))) \n", - "print \"power factor = %0.2f lagging\" %PF" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Average armature current, Ea = 193.20 V\n", - "part (b)\n", - "Back emf, Eb = 173.20 V\n", - "part (c)\n", - "Speed of the motor, N = 866.00 rpm\n", - "part (d)\n", - "Torque, T = 76.4 N/m\n", - "part (e)\n", - "power factor = 0.92 lagging\n" - ] - } - ], - "prompt_number": 47 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.19.3: page 8-59" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#torque developed,speed and input power factor\n", - "#given data :\n", - "v=208 #in volts\n", - "f=50 #in Hz\n", - "ra=0.5 #in ohms\n", - "rf=345 #in ohms\n", - "kv=0.71 #in V/A-rad/sec\n", - "alpha=45 #in degree\n", - "ia=55 #in amperes\n", - "If=((2*sqrt(2)*v*cos(0))/(pi*rf)) #in amperes\n", - "t=kv*If*ia #in N/m\n", - "print \"part (a)\"\n", - "print \"torque = %0.2f N/m\"%t\n", - "print \"part (b)\"\n", - "eb=((2*sqrt(2)*v*cos(pi/180*alpha))/pi)-(ia*ra) #in volts\n", - "w=eb/(kv*If) #in rad/sec\n", - "N=w/(2*pi) #rps\n", - "N*=60 # rpm\n", - "print \"speed = %0.2f rpm\" %N\n", - "#speed is calculated wrong in the textbook\n", - "print \"part (c)\"\n", - "ea=132.4 #in volts\n", - "ef=187.3 #in volts\n", - "pi=(ea*ia)+(ef*If) #in watts\n", - "Isrms=sqrt((ia)**2+(If)**2) #in amperes\n", - "va1=Isrms*v #in VA\n", - "Pf=pi/va1 #\n", - "print \"Power factor = %0.4f lagging\" %Pf" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "torque = 0.01 N/m\n", - "part (b)\n", - "speed = -681.49 rpm\n", - "part (c)\n", - "Power factor = 0.6365 lagging\n" - ] - } - ], - "prompt_number": 52 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.19.4: page 8-60" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import sqrt, pi\n", - "#develepoed back emf,required armature voltage and firing angle and rated armature current\n", - "#given data :\n", - "hp=20 #\n", - "v=230 #volts\n", - "n=1000 #rpm\n", - "lt=50 #load torque in N-m\n", - "s=1000 #speed in rpm\n", - "ra=0.2 #in ohms\n", - "rf=150 #in ohms\n", - "la=10 #in mH\n", - "kv=0.7 #\n", - "vf=(2*sqrt(2)*v)/(pi) #\n", - "If=vf/rf #in amperes\n", - "ia=(lt/(kv*If)) #in amperes\n", - "eg=((kv*2*pi*n*If))/(60) #in volts\n", - "print \"part (a)\"\n", - "print \"back emf = %0.1f V\"%eg\n", - "print \"part (b)\"\n", - "ea=eg+(ia*ra) #in volts\n", - "\n", - "alpha=degrees(acos((ea*pi)/(2*sqrt(2)*v))) #\n", - "print \"armature voltage = %0.2f V\" %ea\n", - "print \"firing angle = %0.1f degree\" %alpha\n", - "print \"part (c)\"\n", - "ea1=220 #in volts\n", - "ha20=746*20 #\n", - "iar=(ha20/ea1) #in amperes\n", - "print \"rated armature current = %0.1f A\" %iar" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "back emf = 101.2 V\n", - "part (b)\n", - "armature voltage = 111.54 V\n", - "firing angle = 57.4 degree\n", - "part (c)\n", - "rated armature current = 67.8 A\n" - ] - } - ], - "prompt_number": 68 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.21.1 : page 8-65" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Average armature current\n", - "#given data :\n", - "V=200 # in volts\n", - "D=50/100 # duty cycle\n", - "VL_dc=V*D \n", - "Eb=75 # in volts\n", - "Ra=1 # in ohm\n", - "Ia=(VL_dc-Eb)/Ra \n", - "print \"Average armature current, Ia = %0.2f A\" %Ia" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Average armature current, Ia = 25.00 A\n" - ] - } - ], - "prompt_number": 69 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter8_1.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter8_1.ipynb deleted file mode 100755 index d3af51e4..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter8_1.ipynb +++ /dev/null @@ -1,806 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:9acc72237a22bafac745af0975ba25d35e2bd8c4f39083e9c7def597741576b5" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter8, Control of DC drives" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.12.1: page 8-26" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import pi\n", - "#back emf ,Required armature voltage and Rated armatuer current\n", - "#given data :\n", - "TL=45 # in N-M\n", - "N=1200 #in rpm\n", - "Rf=147 #in ohm\n", - "Ra=25 # in ohm\n", - "Kv=0.7032 \n", - "w=(2*pi*N)/60 \n", - "Vf=220 #in volts\n", - "Kt=Kv \n", - "If=Vf/Rf \n", - "T=TL \n", - "Ia=T/(Kt*If) \n", - "Eg=Kv*w*If \n", - "print \"part (a)\"\n", - "print \"Back emf,Eg = %0.2f Volts\" %Eg\n", - "print \"part (b)\"\n", - "Ea=(Ia*(Ra/100))+Eg \n", - "print \"Required armature voltage, Ea = %0.2f V\"%Ea\n", - "print \"part (c)\"\n", - "rac=11191.4/Vf #\n", - "print \"rated armature current = %0.2f A\" %rac" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Back emf,Eg = 132.25 Volts\n", - "part (b)\n", - "Required armature voltage, Ea = 142.94 V\n", - "part (c)\n", - "rated armature current = 50.87 A\n" - ] - } - ], - "prompt_number": 22 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.12.2: page 8-27" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import sqrt, cos, pi, acos\n", - "#the field current,Evaluation of alfa,Evaluation of power factor\n", - "#given data :\n", - "TL=50 # in N-M\n", - "N=1000 #in rpm\n", - "Rf=150 #in ohm\n", - "Ra=.25 # in ohm\n", - "Kv=0.7032 \n", - "alfa=0 \n", - "Vm=230 # in volts\n", - "Ef=((Vm*sqrt(2))/pi)*(1+cos(pi/180*alfa)) \n", - "If=Ef/Rf \n", - "print \"part (a)\"\n", - "print \"Field current, If = %0.2f A\" %If\n", - "print \"part (b)\"\n", - "w=(2*pi*N)/60 \n", - "Ia=TL/(Kv*If) \n", - "Eg=Kv*w*If \n", - "Ea=Eg+(Ra*Ia) \n", - "alfa_a=acos(((Ea*pi)/(Vm*sqrt(2)))-1)*180/pi \n", - "print \"angle = %0.2f degree\" %alfa_a\n", - "print \"part (c)\"\n", - "Ismax=Ia*((180-alfa_a)/180)**(1/2) #in amperes\n", - "PF=((Ea*Ia)/(Vm*Ismax)) #lagging\n", - "print \"power factor = %0.3f lagging\" %PF" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Field current, If = 1.38 A\n", - "part (b)\n", - "angle = 83.90 degree\n", - "part (c)\n", - "power factor = 0.682 lagging\n" - ] - } - ], - "prompt_number": 24 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.12.3: page 8-29" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#torque \n", - "#given data :\n", - "Ia=50 # in A\n", - "Rf=150 #in ohm\n", - "Ra=.25 # in ohm\n", - "Kv=1.4 # in V/A-rad/sec\n", - "alfa_f=0 \n", - "alfa_a=45 # in degree\n", - "Vm=230*sqrt(2) # in volts\n", - "Vs=230 # in volts\n", - "Ef=((2*Vm)/pi)*(cos(pi/180*alfa_f)) \n", - "If=Ef/Rf \n", - "T=Kv*Ia*If \n", - "print \"part (a)\"\n", - "print \"Torque developed by the motor, T = %0.2f N/m\" %T\n", - "Ea=((2*Vm)/pi)*(cos(pi/180*alfa_a)) \n", - "Eg=Ea-(Ia*Ra) \n", - "w=Eg/(Kv*If) \n", - "N=(w/(2*pi))*60 \n", - "print \"part (b)\"\n", - "print \"Speed, N = %0.2f rpm \"%N\n", - "print \"part (c)\"\n", - "Ea=Eg+(Ra*Ia) \n", - "alfa_a=180/pi*acos(((Ea*pi)/(Vm*sqrt(2)))-1) \n", - "Ismax=Ia*((180-alfa_a)/180)**(1/2) #in amperes\n", - "PF=((Ea*Ia)/(Vm*Ismax)) #lagging\n", - "print \"power factor = %0.4f lagging\" %PF\n", - "#supply power factor is calculated wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Torque developed by the motor, T = 96.63 N/m\n", - "part (b)\n", - "Speed, N = 661.71 rpm \n", - "part (c)\n", - "power factor = 0.6366 lagging\n" - ] - } - ], - "prompt_number": 26 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.12.4: page 8-32" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Motor torque\n", - "#given data :\n", - "Vs_rms=230 # in volts\n", - "N=1200 # in rpm\n", - "Ia=40 # in A\n", - "Ra=0.25 #in ohm\n", - "Ka_fi1=0.182 # in V/rpm\n", - "Ka_fi=(0.182*60)/(2*pi) \n", - "alfa_a=30 \n", - "T=Ka_fi*Ia \n", - "print \"part (a)\"\n", - "print \"Motor torque, T = %0.1f N-m\" %T\n", - "print \"part (b)\"\n", - "Ea=((2*sqrt(2)*Vs_rms)/pi)*(cos(alfa_a*pi/180)) \n", - "N=(Ea-(Ra*Ia))/Ka_fi1 \n", - "print \"Speed of the motor, N = %0.1f rpm \"%N\n", - "print \"part (c)\"\n", - "Is_rms=Ia \n", - "PF=(Ea*Ia)/(Vs_rms*Is_rms) \n", - "print \"Power factor, PF = %0.4f lagging\" %PF" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Motor torque, T = 69.5 N-m\n", - "part (b)\n", - "Speed of the motor, N = 930.4 rpm \n", - "part (c)\n", - "Power factor, PF = 0.7797 lagging\n" - ] - } - ], - "prompt_number": 30 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.12.6 : page " - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import arange, nditer\n", - "#Torque speed charaterstics\n", - "#given data :\n", - "v=230 #in volts\n", - "vm=sqrt(2)*v #in clts\n", - "Ka=1 \n", - "QR=1 #\n", - "ra=0.05 #\n", - "alpha=30 #in degree\n", - "y=(60/(2*pi)) #\n", - "z=((vm/pi)*(1+cos(pi/180*alpha))) #\n", - "x=(ra/(0.5)**2)\n", - "i = arange(0,9)\n", - "def func(i):\n", - " it = nditer([i, None])\n", - " for a, b in it:\n", - " b[...] = (z-a*x)*y\n", - " return it.operands[1]\n", - "\n", - "\n", - "wm = func(i)\n", - "print \"varoius values of speed in RPM is\"\n", - "for x in nditer([wm]):\n", - " print x,'\\t',\n", - "T=arange(0,9)\n", - "\n", - "###############PLOT#############\n", - "\n", - "\n", - "%matplotlib inline\n", - "import matplotlib.pyplot as plt\n", - "plt.plot(T, wm)\n", - "plt.xlabel(\"Torque ,N-m\")\n", - "plt.ylabel(\"Speed (rpm) for alpha=30 degree\")\n", - "plt.show()\n", - "\n", - "\n" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "varoius values of speed in RPM is\n", - "1844 \t1843 \t1841 \t1839 \t1837 \t1835 \t1833 \t1831 \t1829 \t" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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- "text": [ - "<matplotlib.figure.Figure at 0x7f3de8ed3d90>" - ] - } - ], - "prompt_number": 39 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.18.1: page 8-52" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import sqrt, degrees, pi, acos, cos\n", - "from __future__ import division\n", - "#No load speed ,firing angle ,Power Factor and speed regulation\n", - "#given data :\n", - "Ra=0.075 #in ohm\n", - "alfa1=0 # in degree\n", - "alfa2=30 # in degree\n", - "VL_rms=480 # in volts\n", - "Ka_fi=0.3 # in V/rms\n", - "Vs_rms=round(VL_rms/sqrt(3)) \n", - "Vm=sqrt(2)*Vs_rms \n", - "Ea=round((3*sqrt(3)*Vm*cos(pi/180*alfa1))/pi) \n", - "Ea1=((3*sqrt(3)*Vm*cos(alfa2*pi/180))/pi) \n", - "Ia=(10/100)*160 # in A\n", - "N_0=(Ea-Ia*Ra)/Ka_fi \n", - "N_30=(Ea1-Ia*Ra)/Ka_fi \n", - "print \"part (a)\"\n", - "print \"No load speed at alfa=0 degree = %0.2f rpm \"%N_0\n", - "print \"No load speed at alfa=30 degree = %0.2f rpm \"%N_30\n", - "print \"part (b)\"\n", - "Ia=160 # in A\n", - "N=1800 # in rpm\n", - "Eg=540 # in volts\n", - "Ea=(Eg+(Ia*Ra)) \n", - "alfa=degrees(acos((Ea*pi)/(3*sqrt(3)*Vm))) \n", - "print \"the firng angel, alfa = %0.1f degree \"%alfa\n", - "print \"part (c)\"\n", - "Is_rms=sqrt(2/3)*Ia \n", - "Sva=3*Vs_rms*Is_rms \n", - "PF=(Ea*Ia)/(Sva) \n", - "print \"Power Factor, PF = %0.4f lagging\"%PF\n", - "print \"part (d)\"\n", - "Ra=0.075 #in ohm\n", - "Ia=160 # in A\n", - "Ia1=16 # in A\n", - "Eg=540 # in volts\n", - "Ka_fi=0.3 # in V/rms\n", - "N=1800 # in rpm\n", - "Ea=(Eg+(Ia*Ra)) \n", - "Eg1=Ea-(Ia1*Ra) \n", - "N_0=Eg1/Ka_fi \n", - "SR=((N_0-N)/N)*100 \n", - "print \"Speed Regulation, SR = %0.2f %%\" %SR" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "No load speed at alfa=0 degree = 2156.00 rpm \n", - "No load speed at alfa=30 degree = 1866.41 rpm \n", - "part (b)\n", - "the firng angel, alfa = 31.6 degree \n", - "part (c)\n", - "Power Factor, PF = 0.8135 lagging\n", - "part (d)\n", - "Speed Regulation, SR = 2.00 %\n" - ] - } - ], - "prompt_number": 41 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.18.2: page 8-54" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Delay Angel of Armature,No load speed and speed regulation\n", - "#given data :\n", - "VL_rms=208 # in volts\n", - "Kv=1.2 # in V/A-rad/sec\n", - "Vs_rms=round(VL_rms/sqrt(3)) \n", - "Vm=sqrt(2)*Vs_rms \n", - "Rf=240 # in ohm\n", - "Ra=0.25 # in ohm\n", - "alfa_f=0 # in degree\n", - "V=280 # in volts\n", - "Twenty_HP=20*746 #in watt\n", - "Ia=Twenty_HP/V\n", - "Ef=round((3*sqrt(3)*Vm*cos(pi/180*alfa_f))/pi) \n", - "N=1800 \n", - "w=(N*2*pi)/60 \n", - "If=Ef/Rf \n", - "Eg=Kv*w*If \n", - "Ea=round(Eg+(Ia*Ra)) \n", - "alfa_a=degrees(acos((Ea*pi)/(3*sqrt(3)*Vm))) \n", - "print \"part (a)\"\n", - "print \"Delay Angel Of Armature, alfa_a = %0.2f degree\"%alfa_a\n", - "print \"part (b)\"\n", - "Ia1=(Ia*10)/100\n", - "Eg_noL=Ea-(Ia1*Ra) \n", - "w_0=(Eg_noL/(1.2*1.17)) # rad/sec\n", - "N_0=(w_0*60)/(2*pi) \n", - "print \"NO load speed at alfa|_a, = %0.2f \"%N_0\n", - "# no load speed is calculated wrong in textbook\n", - "print \"part (c)\"\n", - "SR=((N_0-N)/N)*100 \n", - "print \"Speed Regulation, SR = %0.2f %% \"%SR\n", - "# speed regulation is calculated wrong in the textbook" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Delay Angel Of Armature, alfa_a = 7.94 degree\n", - "part (b)\n", - "NO load speed at alfa|_a, = 1881.75 \n", - "part (c)\n", - "Speed Regulation, SR = 4.54 % \n" - ] - } - ], - "prompt_number": 42 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.18.3: page 8-56" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#alphas,speed and delay angle\n", - "#given data :\n", - "v1=208 #\n", - "vsrms=v1/sqrt(3) #\n", - "n=1000 #rpm\n", - "w=n*(pi/30) #in rad/s\n", - "ang=0 #\n", - "ef=((3*sqrt(3)*sqrt(2)*vsrms*cos(pi/180*ang))/pi) #in volts\n", - "rf=140 #in ohms\n", - "If=ef/rf #in amperes\n", - "t=120 #N-m\n", - "kv=1.2 #\n", - "ia=(t)/(kv*If) #in amperes\n", - "eg=kv*If*w #in volts\n", - "ra=0.25 #in ohms\n", - "ea=eg+(ia*ra) #\n", - "alpha=degrees(acos((ea*pi)/(3*sqrt(3)*sqrt(2)*vsrms)))\n", - "print \"part (a)\"\n", - "print \"alpha = %0.2f degree\"%round(alpha)\n", - "print \"part (b)\"\n", - "rf=140 #in ohms\n", - "If=ea/rf #in amperes\n", - "t=120 #N-m\n", - "kv=1.2 #\n", - "ia=(t)/(kv*If) #in amperes\n", - "ra=0.25 #in ohms\n", - "eg=ea-(ia*ra) #\n", - "w=(eg/(kv*If)) #in rad/s\n", - "N=w*(30/pi) #rpm\n", - "print \"speed = %0.2f rpm\" %N\n", - "#speed is calculated wrong in the textbook\n", - "print \"part (c)\"\n", - "n1=1000 #rpm\n", - "w=n1*(pi/30) #in rad/s\n", - "v1=208 #\n", - "vsrms=v1/sqrt(3) #\n", - "w1=(1800*(pi/30)) #\n", - "n=1800 #rpm\n", - "ang=0 #\n", - "T=120 #n-m\n", - "alphas=0 #\n", - "ang=0 #\n", - "ea=((3*sqrt(3)*sqrt(2)*vsrms*cos(pi/180*ang))/pi) #in volts\n", - "rf=140 #in ohms\n", - "If=ea/rf #in amperes\n", - "t=120 #N-m\n", - "kv=1.2 #\n", - "ia=(t)/(kv*If) #in amperes\n", - "ra=0.25 #in ohms\n", - "eg=ea-(ia*ra) #\n", - "if1=eg/(kv*w1) #in amperese\n", - "ef1=if1*rf #in volts\n", - "alphaf=degrees(acos((ef1*pi)/(3*sqrt(3)*120*sqrt(2)))) \n", - "print \"delay angle = %0.2f degree\"%alpha\n", - "# Ans in the textbook are not accurate." - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "alpha = 20.00 degree\n", - "part (b)\n", - "speed = 1058.39 rpm\n", - "part (c)\n", - "delay angle = 19.62 degree\n" - ] - } - ], - "prompt_number": 44 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.19.1: page 8-58" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Firing angle to keep the motor current and Power fed back \n", - "#given data :\n", - "Vs_rms=260 # in volts\n", - "Ia=40 # in A\n", - "Eg=192 #in volts\n", - "kv=0.182 # in V/rpm\n", - "Ra=0.3 # in ohm\n", - "Ea=Eg+(Ia*Ra) \n", - "alfa_a=degrees(acos((Ea*pi)/(2*Vs_rms*sqrt(2))) )\n", - "print \"part (a)\"\n", - "print \"Firing angle to keep motor current, alfa_a = %0.2f degree\" %alfa_a\n", - "Ea1=-Eg+(Ia*Ra) \n", - "alfa_b=degrees(acos((Ea1*pi)/(2*Vs_rms*sqrt(2))) )\n", - "print \"Firing angle, alfa_a = %0.2f degree\"%alfa_b\n", - "print \"part (b)\"\n", - "Ia=40 # in A\n", - "Eg=192 #in volts\n", - "Ra=0.3 # in ohm\n", - "Ea=-Eg+(Ia*Ra) \n", - "P=abs(Ea)*Ia \n", - "print \"Power fed back, P = %0.2f Watt\" %P" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Firing angle to keep motor current, alfa_a = 29.37 degree\n", - "Firing angle, alfa_a = 140.26 degree\n", - "part (b)\n", - "Power fed back, P = 7200.00 Watt\n" - ] - } - ], - "prompt_number": 45 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.19.2 : page 8-58" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Average armature voltage ,back emf ,speed of the motor , motor torque and supply power factor\n", - "#given data :\n", - "Vm=230 # in volts\n", - "Ia=40 # in A\n", - "Ra=0.5 # in ohm\n", - "Ka_fi=0.2 # in V/rpm\n", - "alfa=30 \n", - "Ea=(Vm*sqrt(2)*(1+cos(pi/180*alfa)))/pi \n", - "print \"part (a)\"\n", - "print \"Average armature current, Ea = %0.2f V\"%Ea\n", - "print \"part (b)\"\n", - "Eb=Ea-(Ia*Ra) \n", - "print \"Back emf, Eb = %0.2f V\"%Eb\n", - "print \"part (c)\"\n", - "N=Eb/Ka_fi \n", - "print \"Speed of the motor, N = %0.2f rpm\" %round(N)\n", - "print \"part (d)\"\n", - "Ka_fi1=(Ka_fi*60)/(2*pi) \n", - "T=Ka_fi1*Ia \n", - "print \"Torque, T = %0.1f N/m\" %T\n", - "print \"part (e)\"\n", - "alfa=pi/6 \n", - "PF=(2*sqrt(2)*cos(alfa/2)**2)/(sqrt(pi*(pi-alfa))) \n", - "print \"power factor = %0.2f lagging\" %PF" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "Average armature current, Ea = 193.20 V\n", - "part (b)\n", - "Back emf, Eb = 173.20 V\n", - "part (c)\n", - "Speed of the motor, N = 866.00 rpm\n", - "part (d)\n", - "Torque, T = 76.4 N/m\n", - "part (e)\n", - "power factor = 0.92 lagging\n" - ] - } - ], - "prompt_number": 47 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.19.3: page 8-59" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#torque developed,speed and input power factor\n", - "#given data :\n", - "v=208 #in volts\n", - "f=50 #in Hz\n", - "ra=0.5 #in ohms\n", - "rf=345 #in ohms\n", - "kv=0.71 #in V/A-rad/sec\n", - "alpha=45 #in degree\n", - "ia=55 #in amperes\n", - "If=((2*sqrt(2)*v*cos(0))/(pi*rf)) #in amperes\n", - "t=kv*If*ia #in N/m\n", - "print \"part (a)\"\n", - "print \"torque = %0.2f N/m\"%t\n", - "print \"part (b)\"\n", - "eb=((2*sqrt(2)*v*cos(pi/180*alpha))/pi)-(ia*ra) #in volts\n", - "w=eb/(kv*If) #in rad/sec\n", - "N=w/(2*pi) #rps\n", - "N*=60 # rpm\n", - "print \"speed = %0.2f rpm\" %N\n", - "#speed is calculated wrong in the textbook\n", - "print \"part (c)\"\n", - "ea=132.4 #in volts\n", - "ef=187.3 #in volts\n", - "pi=(ea*ia)+(ef*If) #in watts\n", - "Isrms=sqrt((ia)**2+(If)**2) #in amperes\n", - "va1=Isrms*v #in VA\n", - "Pf=pi/va1 #\n", - "print \"Power factor = %0.4f lagging\" %Pf" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "torque = 0.01 N/m\n", - "part (b)\n", - "speed = -681.49 rpm\n", - "part (c)\n", - "Power factor = 0.6365 lagging\n" - ] - } - ], - "prompt_number": 52 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.19.4: page 8-60" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import sqrt, pi\n", - "#develepoed back emf,required armature voltage and firing angle and rated armature current\n", - "#given data :\n", - "hp=20 #\n", - "v=230 #volts\n", - "n=1000 #rpm\n", - "lt=50 #load torque in N-m\n", - "s=1000 #speed in rpm\n", - "ra=0.2 #in ohms\n", - "rf=150 #in ohms\n", - "la=10 #in mH\n", - "kv=0.7 #\n", - "vf=(2*sqrt(2)*v)/(pi) #\n", - "If=vf/rf #in amperes\n", - "ia=(lt/(kv*If)) #in amperes\n", - "eg=((kv*2*pi*n*If))/(60) #in volts\n", - "print \"part (a)\"\n", - "print \"back emf = %0.1f V\"%eg\n", - "print \"part (b)\"\n", - "ea=eg+(ia*ra) #in volts\n", - "\n", - "alpha=degrees(acos((ea*pi)/(2*sqrt(2)*v))) #\n", - "print \"armature voltage = %0.2f V\" %ea\n", - "print \"firing angle = %0.1f degree\" %alpha\n", - "print \"part (c)\"\n", - "ea1=220 #in volts\n", - "ha20=746*20 #\n", - "iar=(ha20/ea1) #in amperes\n", - "print \"rated armature current = %0.1f A\" %iar" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "part (a)\n", - "back emf = 101.2 V\n", - "part (b)\n", - "armature voltage = 111.54 V\n", - "firing angle = 57.4 degree\n", - "part (c)\n", - "rated armature current = 67.8 A\n" - ] - } - ], - "prompt_number": 68 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 8.21.1 : page 8-65" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#Average armature current\n", - "#given data :\n", - "V=200 # in volts\n", - "D=50/100 # duty cycle\n", - "VL_dc=V*D \n", - "Eb=75 # in volts\n", - "Ra=1 # in ohm\n", - "Ia=(VL_dc-Eb)/Ra \n", - "print \"Average armature current, Ia = %0.2f A\" %Ia" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Average armature current, Ia = 25.00 A\n" - ] - } - ], - "prompt_number": 69 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter9.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter9.ipynb deleted file mode 100755 index 538bde12..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter9.ipynb +++ /dev/null @@ -1,248 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:a22e1723285478b613c9e93f05f8b7152fa3f22e73d3c58b27e1a2cccb6de797" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter9, Power factor improvement" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 9.4.3: page 9-15" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import array, nditer\n", - "from math import pi, cos\n", - "from __future__ import division\n", - "#plot the varaition of average load voltage with firing angle\n", - "alpha=array([0, 30, 60, 90]) #firing angle in degree\n", - "ea=array([(2/pi)*cos(pi/180*alpha[0]), (2/pi)*cos(pi/180*alpha[1]), (2/pi)*cos(pi/180*alpha[2]), (2/pi)*cos(pi/180*alpha[3])])\n", - "#############PLOT###########\n", - "%matplotlib inline\n", - "import matplotlib.pyplot as plt\n", - "plt.plot(alpha,ea) #\n", - "plt.ylabel(\"Average load voltage(in terms of Vm)\")\n", - "plt.xlabel(\"Firing angle (alpha)\")\n", - "plt.title(\"Variation of Ea Vs alpha for SAC\")\n", - "plt.show()" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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P08totrsPqm9fnutGAlXuPi7aPhFYlduwnHPN/4Dh7v5Rzn41KouUka++gkMO\nCdVHd98N662XdkSSTxIjlT8ys4PNrMLMWpvZQcSr658O9DWz3mbWFpgA3JMT7GZmoSbSzIYC5BYG\nIlJ+1lordEUdMCA0Or/3XtoRSSnEKRAOJ1QXvQ+8R1gP4bD6LnL3FcDRwMPAy8At7j7XzCaZ2aTo\ntP2AOWY2Ezgf2L/wH0FE0tCqFVxwAXz/+zBqFLz6atoRSUPFqTLq4u6LGime2mJQlZFIGbv8cqiq\nCqOahw5NOxrJSGRyOzN7xMx+HE2DLSKyhiOPDAPXxo2Dxx5LOxopVr0Fgrv3BU4GtgFeMLP7zOzg\nxCMTkSZl333h1lth4sTwrzQ99VYZrXGy2YbAucCB7h4nuygJVRmJNB2zZ4dRzSedBEcdlXY0LVsp\np67I3HA9YB9CL6HNCdNLDCs6QhFp1gYNgiefhN13D91Sq6o0qrmpiNOo/AZwN3AL8GwaX9WVIYg0\nPQsXwh57wPDhcNFFUFGRdkQtTxLTX7dy91UNjqwBVCCINE2ffhpGNXfqBDfeqFHNja3kvYzSLgxE\npOlad1144IGQHeyxByxZknZEUpdGaxgWkZYpM6q5f/8wqvn999OOSGqjAkFEEldREcYp7LtvGNX8\n2mtpRyT51NrLyMz+nrWZWTlt9ba7a6pqEYnNDE45Bbp2hbFjNaq5HNWVIbwQPdYChgKvAK8Cg4G2\nyYcmIs3RpEk1o5of/8aCuZKmOL2MpgGj3f3raLsN8JS7j2iE+DIxqJeRSDNTXR3WaL744jBBnpRe\nyQemAZ2AdYHMtNQdo30iIkWrrIRHHoHvfAcWLYKf/SztiCROgfBnYIaZVUfbOwJVSQUkIi3H4MEw\ndWrNqOZTT9Wo5jTFmsvIzLoDIwiNy9PcvVE7jqnKSKR5y4xqHjEitC9oVHNplHykcnTT9YF+QDui\ntZLdfWqxQRZKBYJI85cZ1bz++nDDDRrVXApJTF1xBHAM0BOYBYwEnnH3nRsSaCFUIIi0DF99BQcd\nBB9+CHfdpbWaGyqJBXKOBYYDb7r7TsAQQAPQRaTk1loLJk+GrbYKjc4a1dy44hQIy9z9SwAza+fu\n84Atkg1LRFqqioowO+r3vhdGNf/vf2lH1HLE6WX0dtSGcBfwqJl9AsxPNCoRadHMQo+jrl1hzBi4\n/34YMiTtqJq/QldMqySMSXjI3ZcnFVSe11UbgkgLdfvtYYzCLbfATjulHU3TklQvo8HAmGhzqrvP\nLjK+oqgDlnL5AAAS4klEQVRAEGnZnngCJkzQqOZClbxR2cyOBW4AugAbATeYmSa2E5FGs9NO8PDD\ncMwxcOmlaUfTfMXpdjoHGOnuX0TbaxOW0hwQ6wXMxgHnARXAle5+Vs7xA4HfEWZT/Qz4mbu/mHOO\nMgQR4X//C6OaDz44zJyqUc11S6LbKcCqWp7XF0wFcCEwDugPTDSzrXJOex0Y6+4DgdOBy+PeX0Ra\nls02g6efDmMUfv5zWLky7YialzgFwtXANDOrMrM/As8C/4h5/+HAa+4+P5otdTIwPvsEd3/G3TPj\nGqYRBsCJiOTVtStMmQLz5sH++4fBbFIacdZUPgc4DPiEMOPpoe5+bsz79wDeztp+J9pXmx8DD8S8\nt4i0UJm1mt3DHEiffpp2RM1DXSumdc7afIOasQduZp3d/eMY949d8W9mOwGHA6PyHa+qqlr9vLKy\nksrKyri3FpFmqF270BX16KPDqOYHHwzZQ0tWXV1NdXV10dfX2qhsZvOp/QPd3X3Tem9uNhKocvdx\n0faJwKo8DcsDgTuAce7+jdVW1agsIrVxh9NOg+uvD+srbFrvJ1PLUbIFcty9dwnimQ70NbPewAJg\nAjAx+wQz60UoDA7KVxiIiNQlM6p5o41qRjUPHpx2VE1TnKkriubuK8zsaOBhQrfTq9x9rplNio5f\nBpwCrA9cYqEP2dfuPjzJuESk+fnZz6BLF9htN/jnP0M1khSmoKkr0qIqIxGJ6/HHQ++jSy6B/fZL\nO5p0JbGmsohIk7HzzmFU83e+E9ZVmDQp7YiajlgFgpmNATZ396vNrAuwjru/kWxoIiLFGTJkzbWa\nTz5Zo5rjiDN1RRWwLbCFu/czsx7AP909b/fQJKjKSESK8f77YZzCDjvABRe0vLWak5i6Yh/C6OIv\nANz9XaBjceGJiDSebt2guhpefhkmTtSo5vrEKRC+cvfV8xdFk9uJiDQJ660XBq2tXAl77qlRzXWJ\nUyDcamaXAZ3M7EjgMeDKZMMSESmddu1CV9S+fcNU2gsXph1ReYq7QM5uwG7R5sPu/miiUX3z9dWG\nICIN5g5//CPceGPoidTcRzUnsmJa2lQgiEgpXXwxnHFG8x/VXPJxCGb2WZ7dS4Dngd+4++sFxCci\nkrqjjtKo5nzidDv9E2EK65ujXfsDmwEzgZ+6e2WSAUYxKEMQkZLLjGq+9FLYd9+0oym9klcZmdmL\n0Wpm2ftmuftgM5vt7oOKjDU2FQgikpQZM2CvvaCqCo48Mu1oSiuJcQhLzWyCmbWKHj8ElkXH9Ckt\nIk3a0KFhVPNZZ8Hpp4eG55YqToawGXA+MDLa9SzwS+BdYFt3fyrRCFGGICLJe/99GDcORo+G889v\nHqOa1ctIRKRIS5bA+PFh5bXrroO11ko7ooZJog2hPWGt4/5Au8x+dz+82CALpQJBRBrLsmVw4IGh\ncLjzTujYhCfqSaIN4XqgKzAOmAJsAnxeXHgiIuUtM6p5s81Cd9QPPkg7osYTp0DY3N1PBj5392uB\nPYERyYYlIpKeiorQFfU734FRo+CNFjLZf5z1EJZH/y4xswHA+0CX5EISEUmfGZx2WmhPGD0aHngA\nBiXeyT5dcQqEy82sM/AH4B5gHeDkRKMSESkTP/95GNX87W/DrbfCjjumHVFy6mxUNrNWwA/c/ZbG\nCylvHGpUFpFUPfZYGNV8+eWwzz5pRxNPSRuVo3UQftfgqEREmrhddoGHHgoZwxVXpB1NMuJ0O/0z\n8CFwC9GqaQDu/nGyoa0RgzIEESkLr74a1mo+/HA46aTyXqs5iXEI88kzRYW79yk4uiKpQBCRcvLe\ne2FU89ixYVRzqzj9NVNQ8nEI7t7b3fvkPgoIaJyZzTOzV83s+DzHtzSzZ8xsmZn9Ju59RUTS0r17\nmP/oxRfhgAOaz1rN9RYIZra2mZ1sZldE233NbK84NzezCuBCwqC2/sBEM9sq57SPgF8AfysochGR\nFK23Xlh1bfnyMFvqZ/lWjmli4iQ6VxPGIuwQbS8Azoh5/+HAa+4+392/BiYD47NPcPdF7j4d+Drm\nPUVEykK7dqErap8+Ya3mpj6qOU6BsJm7n0U0QM3dv6jn/Gw9CIvrZLwT7RMRaRYqKuCyy2DPPcMA\ntqY8qjnOwLSvognugNXTYcetMStZS3BVVdXq55WVlVRqzTsRKROZUc0bbQRjxoRRzQMH1n9dqVVX\nV1NdXV309XF6Ge0GnERoA3gUGAUc6u5P1Htzs5FAlbuPi7ZPBFZFGUfuuacS5ks6O88x9TISkSbh\nllvgF7+A224LvZDSVGgvo3ozBHd/xMxmULNAzrHuvijm/acDfc2sN6HtYQIwsZZzy7g3r4hIPBMm\nwAYbwH77hQFs3/te2hHFV2+BYGb3AjcDdxfYfoC7rzCzo4GHgQrgKnefa2aTouOXmVk34HlgXWCV\nmR0L9Hd3TbEtIk3SrrvCgw/Cd78LH34IP/lJ2hHFE6fKqJLwzX5Pwgf3ZOA+d19W13WlpCojEWmK\nMqOaf/xj+P3vG39Uc2JLaJpZa2An4AhgnLuvW1yIhVOBICJN1YIFsMceYZbU885r3FHNSayYlllG\ncz/gp8Aw4NriwhMRaVk23himTIHZs8PSnMuX139NWuJUGf2TsELaQ4TqoinRLKiNRhmCiDR1X34Z\nprn4/HO4447GWas5iQzhH8Cm7j4p6mo6yswuKjpCEZEWqH37MKq5d2/YeWdYFLevZiOKM7ndQ8Ag\nM/urmb0JnA7MSzwyEZFmpnXrsMDOuHFhreb589OOaE21djs1sy0IYwYmAIuAWwlVTJWNE5qISPNj\nBqefHkY1Z9ZqTmNUcz61tiGY2SrgPuBod38r2vdGY66DkBWL2hBEpNmZPBmOPTaMah4zpvT3L2Ub\nwr7Al8BUM7vUzHZBo4lFREpm//3hhhvCqOa77047mni9jNYhTFk9kTAO4TrgTnd/JPnwVsegDEFE\nmq3p08Oo5j/9KQxiK5XEBqZFN+8MfB/Y3913LiK+oqhAEJHm7pVXwqjmI4+EE04ozajmRAuEtKhA\nEJGWYMGC0ANpp53g3HMbPqpZBYKISBO2eDHsvTf07AnXXANt2xZ/r0SmrhARkcbRqVNYq3np0tCu\n8HkjzvusAkFEpMy0bx+6om6ySeOOalaBICJShlq3Dgvs7LZbGMDWGKOa46ypLCIiKTALXVG7dq1Z\nq3nAgOReTwWCiEiZ+8UvoEuXsBLb7beHjCEJqjISEWkCMqOa990X7rknmddQhiAi0kR8+9tw//2h\nW+qHH8Lhh5f2/ioQRESakGHDwgpsu+8OCxeWblQzaGCaiEiTlBnVvPPOcM45+Uc1a6SyiEgLsXhx\nGLzWqxdcffU3RzWX1UhlMxtnZvPM7FUzO76Wcy6Ijs82syFJxiMi0px06gSPPBJGM5diVHNiBYKZ\nVQAXAuOA/sBEM9sq55w9gc3dvS9wJHBJUvGUWnV1ddohfEM5xgTlGZdiikcxxZdWXO3bh66oPXs2\nfFRzkhnCcOA1d5/v7l8DkwnrKmTbG7gWwN2nAZ3MrGuCMZVMOf5RlmNMUJ5xKaZ4FFN8acbVujVc\neWXohTR6NLz5ZpH3KW1Ya+g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- "text": [ - "<matplotlib.figure.Figure at 0x7f7912985e50>" - ] - } - ], - "prompt_number": 17 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 9.5.1 : page 9-22" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import degrees, acos, sqrt, pi, cos\n", - "#IS_rms, I1_rms, FPF, PF and HF\n", - "#given data :\n", - "Vm=230 # in volts\n", - "Ia=12 # in A\n", - "Av=200 # average load voltage in volts\n", - "alfa = acos(Av*pi/Vm/sqrt(2)-1)*180/pi\n", - "Is_rms=Ia*sqrt((180-alfa)/180) \n", - "print \"(1)for PAC : \"\n", - "print \"(a) Is_rms = %0.2f A\" %Is_rms\n", - "I1_rms=((2*sqrt(2))/pi)*Ia*cos(alfa/2*pi/180) \n", - "print \"(b) I1_rms = %0.2f A\" %I1_rms\n", - "fi=alfa/2 \n", - "FPF=cos(pi/180*fi) \n", - "print \"(c) FPF = %0.4f lag\" %FPF\n", - "CDF=I1_rms/Is_rms \n", - "print \"(d) CDF = %0.4f \"%CDF\n", - "PF=CDF*FPF \n", - "print \"(e) PF = %0.4f lag\" %PF\n", - "HF=sqrt((1/CDF**2)-1) \n", - "print \"(f) HF = %0.4f \"%HF\n", - "print \"(2)for SAC : \"\n", - "Vm=230 # in volts\n", - "Ia=12 # in A\n", - "Av=200 # average load voltage in volts\n", - "alfa = degrees(acos(Av*pi/2/sqrt(2)/Vm))\n", - "Is_rms=Ia*sqrt((180-(2*alfa))/180) \n", - "print \"(a) Is_rms = %0.2f A\" %Is_rms\n", - "I1_rms=((2*sqrt(2))/pi)*Ia*cos(alfa*pi/180) \n", - "print \"(b) I1_rms = %0.2f A\" %I1_rms\n", - "CDF=I1_rms/Is_rms \n", - "print \"(c) CDF = %0.3f \"%CD\n", - "fi=0 # degree\n", - "FPF=cos(pi/180*fi) \n", - "print \"(d) FPF = %0.2f \"%FPF\n", - "#in book CDF is mentioned as DF which is wrongly mentioned\n", - "PF=CDF*FPF \n", - "print \"(e) PF = %0.3f lagging\" %PF\n", - "HF=(sqrt((1/CDF**2)-1))*100 \n", - "print \"(f) HF = %0.2f %%\" %HF" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "(1)for PAC : \n", - "(a) Is_rms = 11.27 A\n", - "(b) I1_rms = 10.62 A\n", - "(c) FPF = 0.9828 lag\n", - "(d) CDF = 0.9423 \n", - "(e) PF = 0.9261 lag\n", - "(f) HF = 0.3552 \n", - "(2)for SAC : \n", - "(a) Is_rms = 10.95 A\n", - "(b) I1_rms = 10.43 A\n", - "(c) CDF = 0.953 \n", - "(d) FPF = 1.00 \n", - "(e) PF = 0.953 lagging\n", - "(f) HF = 31.91 %\n" - ] - } - ], - "prompt_number": 36 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 9.5.2 : page 9-23" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from math import sqrt, pi, cos\n", - "#average voltage \n", - "a1=30 #in degree\n", - "a2=75 #in degree\n", - "b1=60 #in degree\n", - "ia=10 #in amperes\n", - "vsrms=230 #in volts\n", - "b3=180-a1 #\n", - "a3=180-b1 #\n", - "b2=180-a2 #\n", - "alfa=0 #\n", - "vldc=((vsrms*sqrt(2))/pi)*(cos(pi/180*a1)-cos(pi/180*b1)+cos(pi/180*a2)-cos(pi/180*b2)+cos(pi/180*a3)-cos(pi/180*b3)) \n", - "print \"average voltage = %0.1f V\" %vldc\n", - "Is_rms=ia*((1/180)*(b1-a1+b2-a2+b3-a3))**(1/2) #\n", - "print \"Is_rms = %0.2f A\" %Is_rms\n", - "I1_rms=((sqrt(2)*ia)/(pi))*(cos(pi/180*a1)-cos(pi/180*b1)+cos(pi/180*a2)-cos(pi/180*b2)+cos(pi/180*a3)-cos(pi/180*b3)) \n", - "print \"I1_rms = %0.2f A\" %I1_rms\n", - "fi=alfa \n", - "FPF=cos(I1_rms*fi) \n", - "print \"FPF = %0.2f\"%FPF\n", - "DF=I1_rms/Is_rms \n", - "print \"DF = %0.4f\"%DF\n", - "PF=DF*FPF \n", - "print \"PF = %0.4f lag\" %PF\n", - "HF=sqrt((1/DF**2)-1) \n", - "print \"HF = %0.2f %%\" %(HF*100)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "average voltage = 129.4 V\n", - "Is_rms = 7.07 A\n", - "I1_rms = 5.63 A\n", - "FPF = 1.00\n", - "DF = 0.7956\n", - "PF = 0.7956 lag\n", - "HF = 76.15 %\n" - ] - } - ], - "prompt_number": 40 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 9.5.3: page 9-24" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#IS_rms, I1_rms, PF and HF\n", - "#given data :\n", - "Vm=230 # in volts\n", - "Ia=10 # in A\n", - "alpha=pi/6 #degree\n", - "ea=((2*Vm*sqrt(2))/pi)*cos(alpha) #\n", - "print \"average output voltage = %0.2f V\" %ea\n", - "isrms=Ia*(1-(2*alpha)/pi)**(1/2) #\n", - "print \"rms value of supply current = %0.2f A\" %isrms\n", - "I1rms=((2*sqrt(2)*Ia*cos(alpha))/pi) #\n", - "print \"rms value of fundamental component of supply current = %0.2f A\" %I1rms\n", - "hf=((isrms/I1rms)**2-1)**(1/2) #\n", - "print \"HF of supply current = %0.2f %%\"%(hf*100)\n", - "PF=((sqrt(2))*(1+cos(alpha)))/((pi*(pi-alpha))**(1/2)) #\n", - "print \"PF (lagging)of supply current = %0.2f %%\"%PF\n", - "# Answer for HF is calculated wrong in the textbook." - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "average output voltage = 179.33 V\n", - "rms value of supply current = 8.16 A\n", - "rms value of fundamental component of supply current = 7.80 A\n", - "HF of supply current = 31.08 %\n", - "PF (lagging)of supply current = 0.92 %\n" - ] - } - ], - "prompt_number": 42 - } - ], - "metadata": {} - } - ] -}
\ No newline at end of file diff --git a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter9_1.ipynb b/Introduction_to_Electric_Drives_by_J._S._Katre/chapter9_1.ipynb deleted file mode 100755 index 538bde12..00000000 --- a/Introduction_to_Electric_Drives_by_J._S._Katre/chapter9_1.ipynb +++ /dev/null @@ -1,248 +0,0 @@ -{ - "metadata": { - "name": "", - "signature": "sha256:a22e1723285478b613c9e93f05f8b7152fa3f22e73d3c58b27e1a2cccb6de797" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ - { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Chapter9, Power factor improvement" - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 9.4.3: page 9-15" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from numpy import array, nditer\n", - "from math import pi, cos\n", - "from __future__ import division\n", - "#plot the varaition of average load voltage with firing angle\n", - "alpha=array([0, 30, 60, 90]) #firing angle in degree\n", - "ea=array([(2/pi)*cos(pi/180*alpha[0]), (2/pi)*cos(pi/180*alpha[1]), (2/pi)*cos(pi/180*alpha[2]), (2/pi)*cos(pi/180*alpha[3])])\n", - "#############PLOT###########\n", - "%matplotlib inline\n", - "import matplotlib.pyplot as plt\n", - "plt.plot(alpha,ea) #\n", - "plt.ylabel(\"Average load voltage(in terms of Vm)\")\n", - "plt.xlabel(\"Firing angle (alpha)\")\n", - "plt.title(\"Variation of Ea Vs alpha for SAC\")\n", - "plt.show()" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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P08totrsPqm9fnutGAlXuPi7aPhFYlduwnHPN/4Dh7v5Rzn41KouUka++gkMO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\neWXohTR6NLz5ZpH3KW1Ya+g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- "text": [ - "<matplotlib.figure.Figure at 0x7f7912985e50>" - ] - } - ], - "prompt_number": 17 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 9.5.1 : page 9-22" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from math import degrees, acos, sqrt, pi, cos\n", - "#IS_rms, I1_rms, FPF, PF and HF\n", - "#given data :\n", - "Vm=230 # in volts\n", - "Ia=12 # in A\n", - "Av=200 # average load voltage in volts\n", - "alfa = acos(Av*pi/Vm/sqrt(2)-1)*180/pi\n", - "Is_rms=Ia*sqrt((180-alfa)/180) \n", - "print \"(1)for PAC : \"\n", - "print \"(a) Is_rms = %0.2f A\" %Is_rms\n", - "I1_rms=((2*sqrt(2))/pi)*Ia*cos(alfa/2*pi/180) \n", - "print \"(b) I1_rms = %0.2f A\" %I1_rms\n", - "fi=alfa/2 \n", - "FPF=cos(pi/180*fi) \n", - "print \"(c) FPF = %0.4f lag\" %FPF\n", - "CDF=I1_rms/Is_rms \n", - "print \"(d) CDF = %0.4f \"%CDF\n", - "PF=CDF*FPF \n", - "print \"(e) PF = %0.4f lag\" %PF\n", - "HF=sqrt((1/CDF**2)-1) \n", - "print \"(f) HF = %0.4f \"%HF\n", - "print \"(2)for SAC : \"\n", - "Vm=230 # in volts\n", - "Ia=12 # in A\n", - "Av=200 # average load voltage in volts\n", - "alfa = degrees(acos(Av*pi/2/sqrt(2)/Vm))\n", - "Is_rms=Ia*sqrt((180-(2*alfa))/180) \n", - "print \"(a) Is_rms = %0.2f A\" %Is_rms\n", - "I1_rms=((2*sqrt(2))/pi)*Ia*cos(alfa*pi/180) \n", - "print \"(b) I1_rms = %0.2f A\" %I1_rms\n", - "CDF=I1_rms/Is_rms \n", - "print \"(c) CDF = %0.3f \"%CD\n", - "fi=0 # degree\n", - "FPF=cos(pi/180*fi) \n", - "print \"(d) FPF = %0.2f \"%FPF\n", - "#in book CDF is mentioned as DF which is wrongly mentioned\n", - "PF=CDF*FPF \n", - "print \"(e) PF = %0.3f lagging\" %PF\n", - "HF=(sqrt((1/CDF**2)-1))*100 \n", - "print \"(f) HF = %0.2f %%\" %HF" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "(1)for PAC : \n", - "(a) Is_rms = 11.27 A\n", - "(b) I1_rms = 10.62 A\n", - "(c) FPF = 0.9828 lag\n", - "(d) CDF = 0.9423 \n", - "(e) PF = 0.9261 lag\n", - "(f) HF = 0.3552 \n", - "(2)for SAC : \n", - "(a) Is_rms = 10.95 A\n", - "(b) I1_rms = 10.43 A\n", - "(c) CDF = 0.953 \n", - "(d) FPF = 1.00 \n", - "(e) PF = 0.953 lagging\n", - "(f) HF = 31.91 %\n" - ] - } - ], - "prompt_number": 36 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 9.5.2 : page 9-23" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from __future__ import division\n", - "from math import sqrt, pi, cos\n", - "#average voltage \n", - "a1=30 #in degree\n", - "a2=75 #in degree\n", - "b1=60 #in degree\n", - "ia=10 #in amperes\n", - "vsrms=230 #in volts\n", - "b3=180-a1 #\n", - "a3=180-b1 #\n", - "b2=180-a2 #\n", - "alfa=0 #\n", - "vldc=((vsrms*sqrt(2))/pi)*(cos(pi/180*a1)-cos(pi/180*b1)+cos(pi/180*a2)-cos(pi/180*b2)+cos(pi/180*a3)-cos(pi/180*b3)) \n", - "print \"average voltage = %0.1f V\" %vldc\n", - "Is_rms=ia*((1/180)*(b1-a1+b2-a2+b3-a3))**(1/2) #\n", - "print \"Is_rms = %0.2f A\" %Is_rms\n", - "I1_rms=((sqrt(2)*ia)/(pi))*(cos(pi/180*a1)-cos(pi/180*b1)+cos(pi/180*a2)-cos(pi/180*b2)+cos(pi/180*a3)-cos(pi/180*b3)) \n", - "print \"I1_rms = %0.2f A\" %I1_rms\n", - "fi=alfa \n", - "FPF=cos(I1_rms*fi) \n", - "print \"FPF = %0.2f\"%FPF\n", - "DF=I1_rms/Is_rms \n", - "print \"DF = %0.4f\"%DF\n", - "PF=DF*FPF \n", - "print \"PF = %0.4f lag\" %PF\n", - "HF=sqrt((1/DF**2)-1) \n", - "print \"HF = %0.2f %%\" %(HF*100)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "average voltage = 129.4 V\n", - "Is_rms = 7.07 A\n", - "I1_rms = 5.63 A\n", - "FPF = 1.00\n", - "DF = 0.7956\n", - "PF = 0.7956 lag\n", - "HF = 76.15 %\n" - ] - } - ], - "prompt_number": 40 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Example 9.5.3: page 9-24" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "#IS_rms, I1_rms, PF and HF\n", - "#given data :\n", - "Vm=230 # in volts\n", - "Ia=10 # in A\n", - "alpha=pi/6 #degree\n", - "ea=((2*Vm*sqrt(2))/pi)*cos(alpha) #\n", - "print \"average output voltage = %0.2f V\" %ea\n", - "isrms=Ia*(1-(2*alpha)/pi)**(1/2) #\n", - "print \"rms value of supply current = %0.2f A\" %isrms\n", - "I1rms=((2*sqrt(2)*Ia*cos(alpha))/pi) #\n", - "print \"rms value of fundamental component of supply current = %0.2f A\" %I1rms\n", - "hf=((isrms/I1rms)**2-1)**(1/2) #\n", - "print \"HF of supply current = %0.2f %%\"%(hf*100)\n", - "PF=((sqrt(2))*(1+cos(alpha)))/((pi*(pi-alpha))**(1/2)) #\n", - "print \"PF (lagging)of supply current = %0.2f %%\"%PF\n", - "# Answer for HF is calculated wrong in the textbook." - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "average output voltage = 179.33 V\n", - "rms value of supply current = 8.16 A\n", - "rms value of fundamental component of supply current = 7.80 A\n", - "HF of supply current = 31.08 %\n", - "PF (lagging)of supply current = 0.92 %\n" - ] - } - ], - "prompt_number": 42 - } - ], - "metadata": {} - } - ] -}
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