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author | root | 2014-07-14 15:31:28 +0530 |
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committer | root | 2014-07-14 15:31:28 +0530 |
commit | cea77a632f1b20598ba2a1be1b77e6587920c2a0 (patch) | |
tree | 0ac530caf18d10bd82bf11ffc1c96bfda13d0e39 /Basic_Electrical_Engineering_with_Numerical_Problems/Chapter_07.ipynb | |
parent | 7b7e179ba5b3287d04539fc1826eba5d433eef6c (diff) | |
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diff --git a/Basic_Electrical_Engineering_with_Numerical_Problems/Chapter_07.ipynb b/Basic_Electrical_Engineering_with_Numerical_Problems/Chapter_07.ipynb new file mode 100755 index 00000000..0640e27e --- /dev/null +++ b/Basic_Electrical_Engineering_with_Numerical_Problems/Chapter_07.ipynb @@ -0,0 +1,312 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:9d2dd07c4cd6a48736a25e250c2fa9389b802f12af2edf636c3211f6120daf44"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 7: DC Generators"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 7.1: Page 114:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "# given data:\n",
+ "p=8; # number of poles\n",
+ "a1=p; # in lap winding\n",
+ "a2=2; # in wave winding\n",
+ "fi=15*10**-3;# in wb\n",
+ "N=500;# rev/min\n",
+ "Z=800;# number of conductors on armature\n",
+ "\n",
+ "#calculations:\n",
+ "emf1=(fi*Z*N*p)/(60*a1)# when the armature is lap wound\n",
+ "emf2=(fi*Z*N*p)/(60*a2)# when the armature is wave wound\n",
+ "\n",
+ "#Results\n",
+ "print \"when the armature is lap wound, emf(V) = \",emf1\n",
+ "print \"when the armature is wave wound, emf(V) = \",emf2"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "when the armature is lap wound, emf(V) = 100.0\n",
+ "when the armature is wave wound, emf(V) = 400.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 7.2: Page 119:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#given data:\n",
+ "Vt=200# terminal voltage in volts\n",
+ "Rsh=100;#shunt fieldresistance in ohm\n",
+ "Ra=0.1;# armature resistance in ohm\n",
+ "l=60;# number of lamps\n",
+ "w=40 # in watt\n",
+ "N=4; # number of poles\n",
+ "\n",
+ "#calculations:\n",
+ "total_l=l*w# in watt\n",
+ "Il=total_l/Vt# load current\n",
+ "Ish=Vt/Rsh# shunt field current\n",
+ "Ia=Il+Ish;\n",
+ "I=Ia/N;\n",
+ "Va=Ia*Ra#armature voltage drop \n",
+ "Vb=1+1;# brush contact drop for 2 pair of poles\n",
+ "E=Vt+Va+Vb;\n",
+ "\n",
+ "#Results\n",
+ "print \"(a)armature current,Ia(A) = \",Ia\n",
+ "print \"(b)current per path in a armature,I(A) =\",I\n",
+ "print \"(c)emf,E(Volts) = \",E"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)armature current,Ia(A) = 14.0\n",
+ "(b)current per path in a armature,I(A) = 3.5\n",
+ "(c)emf,E(Volts) = 203.4\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 7.3: Page 119:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "# given data:\n",
+ "W=10 # output of the generator in k-w\n",
+ "V=250;# voltage in volts\n",
+ "R=0.07;# in ohm\n",
+ "Rsh=63.2;# shunt resistance in ohm\n",
+ "Ra=0.05;# armature resistance in ohm\n",
+ "Vb=2;# brush contact drop\n",
+ "\n",
+ "#calculations:\n",
+ "Il=(W*1000)/V# load current in A\n",
+ "Vf=Il*R# voltage drop in feeder\n",
+ "Vt=V+Vf;\n",
+ "Ish=Vt/Rsh;\n",
+ "Ia=Il+Ish;\n",
+ "Vd=Ia*Ra# voltage drop in the armature\n",
+ "E=Vt+Vd+Vb;\n",
+ "#Results\n",
+ "print \"(a)terminal voltage,Vt(V) = \",Vt \n",
+ "print \"(b)emf,E(V) = \", E"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)terminal voltage,Vt(V) = 252.8\n",
+ "(b)emf,E(V) = 257.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 7.4: page 129:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "# given data:\n",
+ "W=20000# in watt\n",
+ "V=200;# in volts\n",
+ "R=0.08;# in ohm\n",
+ "Rs=0.02;# series field resistance in ohm\n",
+ "Rsh=42;# shunt ield resistance in ohm\n",
+ "Ra=0.04;# armature resistance in ohm\n",
+ "iron_losses=309.5;# iron and friction losses\n",
+ "\n",
+ "#calculations:\n",
+ "I=W/V;# in A\n",
+ "Vf=I*R;\n",
+ "Vs=I*Rs;\n",
+ "V1=Vf+Vs;# voltage drop of feeder and series field\n",
+ "Vg=V+V1;\n",
+ "Ish=Vg/Rsh# shunt field current\n",
+ "Ia=I+Ish;\n",
+ "Vd=Ia*Ra;\n",
+ "emf=Vg+Vd;\n",
+ "Ed=emf*Ia# in watt\n",
+ "copper_losses=Ed-W;\n",
+ "mech_in=W+copper_losses+iron_losses;\n",
+ "Bhp=mech_in/735.5;\n",
+ "efficiency=(W/mech_in)*100;\n",
+ "\n",
+ "#Results\n",
+ "print \"(a)terminal voltage,Vg(V) = \",Vg\n",
+ "print \"(b)emf(V) =\",emf\n",
+ "print \"(c)copper losses(Watt) = \",copper_losses\n",
+ "print \"(d)bhp metric of the primemover,Bhp = \",Bhp \n",
+ "print \"(e)efficiency(%) = \",round(efficiency,1)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)terminal voltage,Vg(V) = 210.0\n",
+ "(b)emf(V) = 214.2\n",
+ "(c)copper losses(Watt) = 2491.0\n",
+ "(d)bhp metric of the primemover,Bhp = 31.0\n",
+ "(e)efficiency(%) = 87.7\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 3,
+ "metadata": {},
+ "source": [
+ "Example 7.5: page 129:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "# given data:\n",
+ "n=3 # number of motors\n",
+ "n1=4 # number of parallel path in winding\n",
+ "i=30;#current in A\n",
+ "Bhp=65# in hp\n",
+ "Rsh=44;# shunt field resistance\n",
+ "Ra=0.08;# armature resistance in ohm\n",
+ "V=440;# voltage in V\n",
+ "Vb=2 # we know , brush contact drops\n",
+ "\n",
+ "#calculations:\n",
+ "I=i*n# current taken by three motors\n",
+ "Ish=V/Rsh# shunt field current\n",
+ "Ia=I+Ish;\n",
+ "I1=Ia/n1# current in each path\n",
+ "Va=Ia*Ra;# armature drop\n",
+ "E=V+Va+Vb;\n",
+ "E_power=E*Ia;\n",
+ "W=V*I# in watt\n",
+ "M_power=Bhp*746# assume Bhp=746 W\n",
+ "Copper_losses=E_power-W;\n",
+ "S_loses=M_power-E_power;\n",
+ "eta_e=(W/E_power)*100;\n",
+ "eta_c=(W/M_power)*100;\n",
+ "eta_m=(E_power/M_power)*100;\n",
+ "\n",
+ "#Results\n",
+ "print \"(a)total armature current,Ia(A) =\",Ia\n",
+ "print \"(b)current in each path,I1(A) = \",I1\n",
+ "print \"(c)emf,E(V) = \",E # answer is wrong in a book \n",
+ "print \"(d)electrical power developed in watt = \",E_power # answer is wrong in a book \n",
+ "print \"(e)copper losses (W) = \",Copper_losses\n",
+ "print \"(f)stray losses(W) = \",S_loses\n",
+ "print \"(g1)electrical efficiency,eta_e(%) = \",eta_e\n",
+ "print \"(g2)commercial efficiency,eta_c(%) = \",round(eta_c,2)\n",
+ "print \"(g3)mechanical efficiency,eta_m(%) = \",round(eta_m,1)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a)total armature current,Ia(A) = 100.0\n",
+ "(b)current in each path,I1(A) = 25.0\n",
+ "(c)emf,E(V) = 450.0\n",
+ "(d)electrical power developed in watt = 45000.0\n",
+ "(e)copper losses (W) = 5400.0\n",
+ "(f)stray losses(W) = 3490.0\n",
+ "(g1)electrical efficiency,eta_e(%) = 88.0\n",
+ "(g2)commercial efficiency,eta_c(%) = 81.67\n",
+ "(g3)mechanical efficiency,eta_m(%) = 92.8\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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