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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# CHAPTER 46 : ELECTRONIC CONTROL OF A.C MOTORS"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## EXAMPLE 46.1 , PAGE NO :- 1827"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Ton = 1.89 ms.\n",
+ "magnitude of the current pulse I0 = 102.31 A.\n"
+ ]
+ }
+ ],
+ "source": [
+ "'''The wound-rotor induction motor of Fig.43.5 is rated at 30-kW,975 rpm,440-V,50 Hz.The open-circuit line voltage is 400V and the load\n",
+ "resistance is 0.5 ohm.If chopper frequency is 200 Hz,calculate Ton so that the motor develops a gross torque of 200 N-m at 750 rpm.Also,\n",
+ "calculate the magnitude of the current pulses drawn from the capacitor.'''\n",
+ "\n",
+ "import math as m\n",
+ "Ns = 1000.0 #rpm (Synchronus speed)\n",
+ "N1 = 750.0 #rpm (rotating speed)\n",
+ "E2 = 400.0 #V (OC line voltage)\n",
+ "Tg = 200.0 #N-m (gross torque)\n",
+ "R0 = 0.5 #ohm (load resistance)\n",
+ "f = 200.0 #Hz (chopper frequency)\n",
+ "s = (Ns-N1)/Ns # slip\n",
+ "Vrl = s*E2 #V (rotor line voltage)\n",
+ "Vdc = 135.0 #V (DC voltage of 3-phase bridge rectifier)\n",
+ "#Now, Tg = P^2/(2*3.14*Ns).Therefore,\n",
+ "P2 = Tg*2*3.14*Ns/60 #W\n",
+ "#Power dissipated as heat\n",
+ "sP2 = s*P2 #W\n",
+ "#Power is actually dissipated in R and is equal to rectifier output Vdc*Idc.Therefore,\n",
+ "Idc = sP2/Vdc #A\n",
+ "#The apparent resistance at the input of chopper is\n",
+ "Ra = Vdc/Idc #ohm\n",
+ "#Now, Ra = Ro/(f*Ton)^2 .Therefore,\n",
+ "Ton = m.sqrt(R0/(f*f*Ra))*1000 #ms\n",
+ "#Current in R0 can be found from relation,I0^2*R0 = sP2\n",
+ "I0 = m.sqrt(sP2/R0) #A\n",
+ "print \"Ton = \",round(Ton,2),\"ms.\"\n",
+ "print \"magnitude of the current pulse I0 =\",round(I0,2),\"A.\""
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.11"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}