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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 5: Electrical Machine"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.10: speed_of_rotor.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//dtermine its speed when its take crnt 25 amps\n",
+"Vl=250\n",
+"Ra=0.05\n",
+"R=0.02\n",
+"Ia=30\n",
+"I1=30 //Il=Ia\n",
+"N1=400\n",
+"E1=Vl-(Ia*Ra)-(Ia*R) \n",
+"//E1=E2\n",
+"I2=25\n",
+"N2=(N1*E1*I1)/(E1*I2)\n",
+"disp('speed of motor='+string(N2)+'rpm')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.11: torque.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//find the torque whn its take scurnt 60amprs\n",
+"Vl=200\n",
+"Il=60 //amprs\n",
+"R=50\n",
+"I=Vl/R // amprs\n",
+"Ia=Il-I //amprs\n",
+"f=0.03 // flux \n",
+"Z=700\n",
+"P=4\n",
+"A=2\n",
+"T=(0.159*f*Z*Ia*P)/A\n",
+"disp('Torque='+string(T)+'N-m')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.12: number_of_turns_and_current.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//calcute the num of prim turns and prim $sec current\n",
+"KVA=50\n",
+"E1=6000\n",
+"E2=250\n",
+"N2=52\n",
+"N1=N2*E1/E2\n",
+"I2=KVA*1000/E2\n",
+"I1=KVA*1000/E1\n",
+"disp('prim current I1 = '+string(I1)+' amps' , 'sec current I2 = '+string(I2)+' amps' , 'prim num of turns N1 = '+string(N1)+' turns' )"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.13: flux_density.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//determine the emf induced in the secondry max value of flux density\n",
+"f=50\n",
+"N1=350\n",
+"N2=800\n",
+"E1=400\n",
+"E2=(N2*E1)/N1\n",
+"A=75e-4\n",
+"Bm=E1/(4.44*f*A*N1)\n",
+"disp('flux density='+string(Bm)+'wb/m^2')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.14: current.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//find the magnetic nd iron loss component of current\n",
+"E1=440\n",
+"E2=200\n",
+"I=0.2\n",
+"coso=0.18\n",
+"sino=sqrt(1-coso^2)\n",
+"Iw=I*coso\n",
+"Iu=I*sino\n",
+"disp('Iw='+string(Iw)+'amps' , 'Iu='+string(Iu)+'amprs')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.15: efficiency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//calculate teh efficiency at loads\n",
+"KVA=20\n",
+"Il=350\n",
+"Cl=400\n",
+"x=1\n",
+"pf=0.8//at full load\n",
+"pf1=0.4 //at half load\n",
+"x1=0.5\n",
+"op=KVA*1000*x\n",
+"op1=KVA*1000*x1*pf1\n",
+"Tl=Il+(Cl*x*x)\n",
+"Tl1=Il+(Cl*x1*x1)\n",
+"ip=op+Tl\n",
+"ip1=op1+Tl1\n",
+"%n=op/ip*100\n",
+"%n1=op1/ip1*100\n",
+"disp('efficiency at half load n = '+string(%n1)+' ' , 'efficiency at full load n1 = '+string(%n)+' ' )"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.16: speed_and_emf.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//calculate the synchronous speed ,slip,frequncy induced emf\n",
+"f=50\n",
+"p=4\n",
+"Ns=120*f/p\n",
+"N=1460\n",
+"s=(Ns-N)/Ns\n",
+"f1=(s*f)\n",
+"disp( 'f1='+string(f1)+'hz' , 's='+string(s)+' ' , 'Ns='+string(Ns)+'rpm' )"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.17: speed.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//determine the value of slip nd speed of motor\n",
+"P=6\n",
+"f=50\n",
+"Ns=120*f/P\n",
+"f1=1.5\n",
+"s=f1/f\n",
+"N=Ns*(1-s)\n",
+"disp('speed of motor='+string(N)+'RPM')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.18: poles_speed_frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//calculate the numbers of poles ,slip at full load,frequncy rotor,speed of motor\n",
+"Ns=1000\n",
+"N=960\n",
+"f=50\n",
+"P=120*f/Ns// synchronous speed\n",
+"s=(Ns-N)/Ns\n",
+"f1=s*f\n",
+"N=Ns*(1-0.08)//speed of motor at 8% slip\n",
+"disp('speed of rotor='+string(N)+'RPM')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.19: induced_emf.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//calculate the induced emf per phase\n",
+"f=50\n",
+"P=16\n",
+"N=160\n",
+"S=6\n",
+"n=N*S\n",
+"Z=n/3\n",
+"F=0.025\n",
+"e=2.22*F*f*Z\n",
+"disp('e='+string(e)+'volts')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.1: determine_the_emf_induced_in_the_coil.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//P5.1 determine the induced emf in the armature\n",
+"P=4;//poles\n",
+"A=2;//wave wound\n",
+"N=50;//number of slots\n",
+"SperCondctr=24;//slots/conductor\n",
+"Z=SperCondctr*N;//total conductor\n",
+"N=600;//rpm....speed of armature\n",
+"F=10e-3;//webers....flux/poles\n",
+"E=F*Z*N*P/(60*A);//emf induced\n",
+"disp('e.m.f induced is = '+string(E)+' volts');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.2: emf_induced_in_coil.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//P5.2 determine the induced emf in the armature\n",
+"P=4;//poles\n",
+"A=4;//wave wound\n",
+"N=50;//number of slots\n",
+"SperCondctr=24;//slots/conductor\n",
+"Z=SperCondctr*N;//total conductor\n",
+"N=600;//rpm....speed of armature\n",
+"F=10e-3;//webers....flux/poles\n",
+"E=F*Z*N*P/(60*A);//emf induced\n",
+"disp('e.m.f induced is = '+string(E)+' volts');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.3: speed.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//determine the speed\n",
+"P=6;//poles\n",
+"A=2;//wave wound\n",
+"Z=780;//armature conductors\n",
+"F=12*10^-3;//webers..flux/poles\n",
+"E=400;//volt\n",
+"N=(E*60*2)/(F*Z*P);\n",
+"N2=(E*60*6)/(F*Z*P);\n",
+"disp('determine the speed='+string(N)+'rpm', 'determine the speed (A=P=6)='+string(N2)+'rpm');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.4: induced_emf.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//determine the emf induced\n",
+"R=0.05;\n",
+"Rs=100;\n",
+"V=250;\n",
+"P=10000;\n",
+"I=P/V;\n",
+"Is=V/Rs;\n",
+"Ia=I+Is;\n",
+"Eg=V+(R*Ia);\n",
+"disp('emf induced='+string(Eg)+'volts');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.5: emf_induced.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//calculate the emf induced in the armature\n",
+"Il=200\n",
+"Vl=500\n",
+"Ra=0.03\n",
+"Rs=0.015\n",
+"R=150\n",
+"BCD=2 //one volt per brush\n",
+"I=Vl/R\n",
+"Ia=Il+I\n",
+"Eg=Vl+(Ia*Ra)+(Ia*Rs)+BCD\n",
+"disp('emf induced= '+string(Eg)+' volts');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.6: emf_induced.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//calculate the emf induced in the armature\n",
+"Il=200\n",
+"Vl=500\n",
+"Ra=0.03\n",
+"Rs=0.015\n",
+"Is=200 //for a short shunt generator Il=Ise\n",
+"R=150\n",
+"BCD=2 //one volt per brush\n",
+"I=(Vl+(Is*Rs))/R\n",
+"Ia=Il+I\n",
+"Eg=Vl+(Ia*Ra)+(Ia*Rs)+BCD\n",
+"disp('emf induced= '+string(Eg)+' volts' );"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.7: back_emf.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//calculate the back emf induced on full load\n",
+"Ra=0.5 //armature resistance\n",
+"Rs=250 //shunt resistance\n",
+"Vl=250 //line volt\n",
+"Il=40\n",
+"Is=Vl/Rs \n",
+"Ia=Il-Is\n",
+"Eb=Vl-(Ia*Ra)\n",
+"disp('emf induced= '+string(Eb)+' volts' );"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.8: power.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//find the power developed in circiut\n",
+"Pl=20e3\n",
+"Vl=200\n",
+"Ra=0.05\n",
+"R=150\n",
+"I=Vl/R\n",
+"Il=Pl/Vl\n",
+"Ia=Il+I\n",
+"Eg=Vl+(Ia*Ra)\n",
+"P=Eg*Ia\n",
+"disp('power developed='+string(P)+'watt')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 5.9: speed.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"\n",
+"//calculate the speed of the machine when running\n",
+"N1=1000 //speed of generator\n",
+"E1=205.06 //emf generator\n",
+"E2=195.06 //emf of motor\n",
+"N2=(E2*N1)/E1 //speed of generator\n",
+"disp('speed of motor='+string(N2)+'rpm')"
+ ]
+ }
+],
+"metadata": {
+ "kernelspec": {
+ "display_name": "Scilab",
+ "language": "scilab",
+ "name": "scilab"
+ },
+ "language_info": {
+ "file_extension": ".sce",
+ "help_links": [
+ {
+ "text": "MetaKernel Magics",
+ "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+ }
+ ],
+ "mimetype": "text/x-octave",
+ "name": "scilab",
+ "version": "0.7.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
generated by cgit (git 2.34.1) at 2025-07-06 22:18:23 +0000