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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Chapter 7 - Power Controllers - Their Applications"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Ex 7.1 page 260"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\n",
+      " Speed of motor = 517 rpm\n"
+     ]
+    }
+   ],
+   "source": [
+    "from __future__ import division\n",
+    "from math import sqrt,cos,pi\n",
+    "N1=1000    #  rpm\n",
+    "Va1=200    #  V\n",
+    "alfa=60    #  degree\n",
+    "Va2=230    #  V\n",
+    "\n",
+    "N2=2*Va2*sqrt(2)*cos(alfa*pi/180)*N1/Va1/pi\n",
+    "print '\\n Speed of motor = %d rpm'%(N2)\n",
+    "# ans in the textbook is not accurate."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Ex 7.2 page 260"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\n",
+      " duty ratio = 0.82\n"
+     ]
+    }
+   ],
+   "source": [
+    "from __future__ import division\n",
+    "\n",
+    "N1=1100    #  rpm\n",
+    "Va1=220    #  V\n",
+    "N2=900    #  rpm\n",
+    "\n",
+    "Va2=Va1*N2/N1    #  V\n",
+    "delta=Va2/Va1    #  duty ratio\n",
+    "print '\\n duty ratio = %.2f'%(delta)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Ex 7.3 page 261"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\n",
+      " triggering angle = 57.9 degree\n"
+     ]
+    }
+   ],
+   "source": [
+    "from __future__ import division\n",
+    "from math import sqrt,cos,pi,acos\n",
+    "\n",
+    "N1=900    #  rpm\n",
+    "Va1=198    #  V\n",
+    "N2=500    #  rpm\n",
+    "Vs=230    #  V\n",
+    "\n",
+    "Va2=Va1*N2/N1    #  V\n",
+    "# 2*sqrt(2)*Vs*cos(alfa)/pi=Va2\n",
+    "alfa=acos(Va2/(2*sqrt(2)*Vs)*pi)*180/pi    #  degree\n",
+    "\n",
+    "print '\\n triggering angle = %.1f degree'%(alfa)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Ex 7.4 page 261"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\n",
+      " average armature current = 9.35 A\n",
+      "\n",
+      " torque = 4.674 Nm\n"
+     ]
+    }
+   ],
+   "source": [
+    "from __future__ import division\n",
+    "from math import pi\n",
+    "Vs=230    #  V\n",
+    "Ton=10    #  ms\n",
+    "Toff=25    #  ms\n",
+    "Ra=2    # ohm\n",
+    "N=1400    #  rpm\n",
+    "k=0.5    #  V/rad/s (back emf constant)\n",
+    "kt=0.5    #  NM-A**-1 (torque constant)\n",
+    "\n",
+    "Eb=N*2*pi*k/60    #  V\n",
+    "Va=Vs*Ton/(Toff)    #  V\n",
+    "Ia=(Va-Eb)/Ra    #  A\n",
+    "T=kt*Ia    #  Nm\n",
+    "print '\\n average armature current = %.2f A'%( Ia)\n",
+    "print '\\n torque = %.3f Nm'%( T)"
+   ]
+  }
+ ],
+ "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": "2.7.9"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}