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-{
- "metadata": {
- "name": ""
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Chapter 7: DC Machines"
- ]
- },
- {
- "cell_type": "heading",
- "level": 3,
- "metadata": {},
- "source": [
- "Example 7.1, Page number: 371"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- "from math import *\n",
- "\n",
- "#Variable declaration:\n",
- "Vt=[128, 124] #Terminal voltage(V)\n",
- "Ea=125 #Generated emf(V)\n",
- "Ra=0.02 #Armature resistance(ohm)\n",
- "n=3000 #rpm\n",
- "\n",
- "\n",
- "#Calculations:\n",
- "#For 128 V\n",
- "Ia1=(Vt[0]-Ea)/Ra\n",
- "Pin1=Vt[0]*Ia1\n",
- "Pe1=Ea*Ia1\n",
- "wm=3000*2*pi/60\n",
- "Tmech1=Ea*Ia1/wm\n",
- "\n",
- "#for 124 V\n",
- "Ia2=(-Vt[1]+Ea)/Ra\n",
- "Pin2=Vt[1]*Ia2\n",
- "Pe2=Ea*Ia2\n",
- "Tmech2=Ea*Ia2/wm\n",
- "\n",
- "\n",
- "\n",
- "#Results:\n",
- "print \"(a) Armature current:\",Ia1,\"A\",\"\\n Terminal power:\",Pin1/10**3,\"kW\"\n",
- "print \" Electromagnetic power:\",round(Pe1/10**3,2),\"kW\"\n",
- "print \" Torque:\",round(Tmech1,1),\"Nm\"\n",
- "\n",
- "print \"(b) Armature current:\",Ia2,\"A\",\"\\n Terminal power:\",Pin2/10**3,\"kW\"\n",
- "print \" Electromagnetic power:\",round(Pe2/10**3,2),\"kW\",\n",
- "print \"\\n Torque:\",round(Tmech2,1),\"Nm\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(a) Armature current: 150.0 A \n",
- " Terminal power: 19.2 kW\n",
- " Electromagnetic power: 18.75 kW\n",
- " Torque: 59.7 Nm\n",
- "(b) Armature current: 50.0 A \n",
- " Terminal power: 6.2 kW\n",
- " Electromagnetic power: 6.25 kW \n",
- " Torque: 19.9 Nm\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 3,
- "metadata": {},
- "source": [
- "Example 7.2, Page number: 372"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- "\n",
- "#Variable declaration:\n",
- "Vt=123 #terminal voltage(V)\n",
- "Pt=21.9 #Terminal power(kW)\n",
- "Ra=0.02 #ohm\n",
- "Eao=125 #generated voltage(V) at 3000rpm\n",
- "no=3000 #rpm\n",
- "\n",
- "\n",
- "#calculations:\n",
- "Ia=Pt*10**3/Vt\n",
- "Ea=Vt-Ia*Ra\n",
- "n=(Ea/Eao)*no\n",
- "\n",
- "#Results:\n",
- "print \"Speed of motor:\",round(n,0),\"rpm\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Speed of motor: 2867.0 rpm\n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 3,
- "metadata": {},
- "source": [
- "Example 7.3, Page number: 376"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- "\n",
- "#Variable declaration:\n",
- "Il=400 #Armature current(A)\n",
- "If=4.7 #Field current(A)\n",
- "Ns=3 #series turns per pole\n",
- "Nf=1000 #shunt field turns per pole\n",
- "Eao=274 #at Ia=0,(V)\n",
- "n=1150 #speed of motor(rpm)\n",
- "no=1200 #rated speed(rpm) \n",
- "Ra=0.025 #armature resistance(ohm)\n",
- "Rs=0.005 #series field resistance(ohm)\n",
- "\n",
- "\n",
- "#Calculations:\n",
- "Is=Il+If\n",
- "GM=If+(Ns/Nf)*Is #for graphical analysis\n",
- "Ea=(n/no)*Eao\n",
- "Vt=Ea-Is*(Ra+Rs)\n",
- "\n",
- "#Results:\n",
- "print \"Terminal voltage at rated terminal current:\",round(Vt,0),\"V\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Terminal voltage at rated terminal current: 250.0 V\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 3,
- "metadata": {},
- "source": [
- "Example 7.4, Page number: 377"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- "\n",
- "#Variable declaration:\n",
- "Il=400 #Armature current(A)\n",
- "If=4.7 #Field current(A)\n",
- "Ns=3 #series turns per pole\n",
- "Nf=1000 #shunt field turns per pole\n",
- "Eao=261 #at Ia=400 A,(V)\n",
- "n=1150 #speed of motor(rpm)\n",
- "no=1200 #rated speed(rpm) \n",
- "Ra=0.025 #armature resistance(ohm)\n",
- "Rs=0.005 #series field resistance(ohm)\n",
- "\n",
- "\n",
- "#Calculations:\n",
- "Ea=(n/no)*Eao\n",
- "Vt=Ea-(Il+If)*(Ra+Rs)\n",
- "\n",
- "#Results:\n",
- "print \"Terminal voltage:\", round(Vt,0), \"V\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Terminal voltage: 238.0 V\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 3,
- "metadata": {},
- "source": [
- "Example 7.5, Page number: 378"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- "\n",
- "#Variable declaration:\n",
- "Il=400 #Armature current(A)\n",
- "If=4.7 #Field current(A)\n",
- "Ns=3 #series turns per pole\n",
- "Nf=1000 #shunt field turns per pole\n",
- "Eao=269 #at Ia=400 A,(V)\n",
- "n=1150 #speed of motor(rpm)\n",
- "no=1200 #rated speed(rpm) \n",
- "Ra=0.025 #armature resistance(ohm)\n",
- "Rs=0.007 #series field resistance(ohm)\n",
- "\n",
- "#Calculations:\n",
- "Is=Il+If\n",
- "GM=If+(Ns/Nf)*Is #for graphical analysis\n",
- "Ea=(n/no)*Eao\n",
- "Vt=Ea-Is*(Ra+Rs)\n",
- "\n",
- "#Results:\n",
- "print \"Terminal voltage at rated terminal current:\",round(Vt,0),\"V\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Terminal voltage at rated terminal current: 245.0 V\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 3,
- "metadata": {},
- "source": [
- "Example 7.6, Page number: 381"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- "from sympy import *\n",
- "\n",
- "\n",
- "#Variable declaration:\n",
- "Ns=4 #Series field turns\n",
- "Nf=1000 #Shunt field turns\n",
- "Vt=250 #Full load voltage(V)\n",
- "#for part (a):\n",
- "Ia=400 #Armature current(A)\n",
- "Ra=0.025 #Armature resistance(ohm)\n",
- "\n",
- "#for part (b):\n",
- "Rs=0.005 #Added sries resistance(ohm)\n",
- "Vo=250 #No load voltage(V)\n",
- "If=5 #field current at full load(A)\n",
- "\n",
- "\n",
- "#Calculations & Results:\n",
- "\n",
- "#for part (a)\n",
- "V1=Ia*Ra\n",
- "\n",
- "#for part (b):\n",
- "Ia1=Ia+If\n",
- "Rs,Rd=symbols('Rs Rd') #Rd= diverter resistance(ohm)\n",
- "Rp=Rs*Rd/(Rs+Rd) # -------(i)\n",
- "Is=Ia1*(Rd/(Rs+Rd))\n",
- "Inet=If+(Ns/Nf)*Is\n",
- "Ea=Vt+Ia*(Ra+Rp) # -------(ii)\n",
- "\n",
- "#from equation (ii)\n",
- "Rp=Rs(Inet-5.0)/1.62 \n",
- "R_d=0.0082 #R_d=Rd(say), using (i)\n",
- "print \"(a) The operating terminal voltage = 205 V\", Inet\n",
- "print \"(b) Rd =\", R_d,\"ohm\"\n",
- "print \"\\tHence, by this process, resistance across the series field\" \n",
- "print \"\\t(referred to as a series-field diverter) can be adjusted \"\n",
- "print \"\\tto produce the desired performance. \""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(a) The operating terminal voltage = 205 V 1.62*Rd/(Rd + Rs) + 5\n",
- "(b) Rd = 0.0082 ohm\n",
- "\tHence, by this process, resistance across the series field\n",
- "\t(referred to as a series-field diverter) can be adjusted \n",
- "\tto produce the desired performance. \n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 3,
- "metadata": {},
- "source": [
- "Example 7.7, Page number: 383"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- " \n",
- "#Variable declaration:\n",
- "Ia=400 #Armature current(A)\n",
- "n1=1200 #rpm\n",
- "n2=1100 #rpm\n",
- "Ra=0.025 #armature resistance(ohm) \n",
- "Eo=250 #no load armature voltage(V)\n",
- "del_n=1.5 #fractional winding added\n",
- "N=1000 #Total windings\n",
- "\n",
- "\n",
- "#Calculations:\n",
- "#for part(a):\n",
- "#point corresponding on the no load saturation curve is :\n",
- "Eao=Eo*(n1/n2)\n",
- "#using Eao value in curve, value of If is found to be:\n",
- "If=5.90 #Field current(A)\n",
- "Ea=Eo-Ia*Ra\n",
- "#From Fig. 7.14\n",
- "Ea1=261\n",
- "n=n1*(Ea/Ea1)\n",
- "Pe=Ea*Ia\n",
- "Pl=2000 #No load Rotational loss(W)\n",
- "Po=(Pe-Pl)/(1+0.01)\n",
- "\n",
- "#for part (b):\n",
- "If1=If+del_n/N\n",
- "#From Fig. 7.14 the corresponding value of Ea at 1200 r/min would be 271 V.\n",
- "Ea2=271 #volts\n",
- "n22=n1*(Ea/Ea2)\n",
- "\n",
- "\n",
- "#Results:\n",
- "print \"Part(a):\"\n",
- "print \"Required speed =\",round(n),\"r/min\"\n",
- "print \"Output power =\", round((Po/746),1),\"hp\"\n",
- "print \"\\nPart (b):\"\n",
- "print \"Required speed =\",round(n22),\"r/min\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Part(a):\n",
- "Required speed = 1103.0 r/min\n",
- "Output power = 124.8 hp\n",
- "\n",
- "Part (b):\n",
- "Required speed = 1063.0 r/min\n"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "heading",
- "level": 3,
- "metadata": {},
- "source": [
- "Example 7.9, Page number: 389"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import division\n",
- "from math import *\n",
- "\n",
- "#Variable declaration:\n",
- "V1=50 #terminal voltage(V)\n",
- "Ia=1.25 #Armature current(A)\n",
- "Ra=1.03 #Armature resistance(ohm)\n",
- "n1=2100 #speed at 50V(rpm)\n",
- "V2=48 #terminal voltage at 1700 rpm (V)\n",
- "n2=1700 #speed at 48 V(rpm)\n",
- "\n",
- "\n",
- "\n",
- "#Calculations:\n",
- "#for (a):\n",
- "Ea1=V1-Ia*Ra\n",
- "wm1=n1*2*pi/60\n",
- "Km=round(Ea1/wm1,2)\n",
- "\n",
- "#for part(b):\n",
- "Prot=Ea1*Ia\n",
- "\n",
- "#for part(c:)\n",
- "wm2=n2*2*pi/60\n",
- "Ea2=Km*wm2\n",
- "Ia2=(V2-Ea2)/Ra\n",
- "Pmech=Ea2*Ia2\n",
- "Pshaft=Pmech-Prot\n",
- "\n",
- "#Results:\n",
- "print \"(a) Torque constant:\",round(Km,2),\"V/(rad/s)\"\n",
- "print \"(b) No-load rotational losses of the motor:\",round(Prot,0),\"W\"\n",
- "print \"(c) The power output of the motor:\",round(Pshaft,2),\"W\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(a) Torque constant: 0.22 V/(rad/s)\n",
- "(b) No-load rotational losses of the motor: 61.0 W\n",
- "(c) The power output of the motor: 275.05 W\n"
- ]
- }
- ],
- "prompt_number": 3
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file
generated by cgit (git 2.34.1) at 2025-01-08 19:32:33 +0000