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author | Prashant S | 2020-04-14 10:25:32 +0530 |
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committer | GitHub | 2020-04-14 10:25:32 +0530 |
commit | 06b09e7d29d252fb2f5a056eeb8bd1264ff6a333 (patch) | |
tree | 2b1df110e24ff0174830d7f825f43ff1c134d1af /Electric_Machinery_by_A_E_Fitzgerald/5-Synchronous_Machines_in_Steady_State.ipynb | |
parent | abb52650288b08a680335531742a7126ad0fb846 (diff) | |
parent | 476705d693c7122d34f9b049fa79b935405c9b49 (diff) | |
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diff --git a/Electric_Machinery_by_A_E_Fitzgerald/5-Synchronous_Machines_in_Steady_State.ipynb b/Electric_Machinery_by_A_E_Fitzgerald/5-Synchronous_Machines_in_Steady_State.ipynb new file mode 100644 index 0000000..65d047f --- /dev/null +++ b/Electric_Machinery_by_A_E_Fitzgerald/5-Synchronous_Machines_in_Steady_State.ipynb @@ -0,0 +1,206 @@ +{ +"cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 5: Synchronous Machines in Steady State" + ] + }, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.1: Finding_unsaturated_value_of_the_synchronous_reactance_and_the_SCR_ratio.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Caption: Finding unsaturated value of the synchronous reactance and the SCR ratio\n", +"// Example 5.1\n", +"\n", +"clear;\n", +"close;\n", +"clc;\n", +"E_af_ag=202/3^.5;//voltage to neutral on air-gap line at 2.20A\n", +"I_a_sc=118;//at 2.20A\n", +"X_s_ag=E_af_ag/I_a_sc;//Reactance per phase\n", +"disp(X_s_ag,'Reactance in ohm per phase=')\n", +"I_a_r=45000/(3^.5*220);//Rated Ia\n", +"I_a_sc=118/I_a_r;//per unit\n", +"E_af_ag=202/220;//per unit\n", +"X_s_ag=E_af_ag/I_a_sc;//per unit\n", +"disp(X_s_ag,'reactance per unit=')\n", +"X_s=220/3^.5*152;//per phase\n", +"disp(X_s,'saturated reactance per phase=')\n", +"I_a_sc_dash=152/118;//per unit\n", +"X_s=1.00/I_a_sc_dash;//per unit\n", +"SCR=2.84/2.20;\n", +"disp(SCR,'short circuit ratio=')\n", +"//Result\n", +"// Reactance in ohm per phase=0.9883454 \n", +"//reactance per unit=0.9189162 \n", +"//saturated reactance per phase=19306.593 \n", +"//short circuit ratio=1.2909091 " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.2: Finding_effective_armature_resistance.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Caption: Finding effective armature resistance\n", +"// Example 5.2\n", +"\n", +"clear;\n", +"close;\n", +"clc;\n", +"L_loss_sc=1.8/45;//per unit\n", +"I_a=1.00;//per unit\n", +"R_a_eff=L_loss_sc/I_a^2;//per unit\n", +"disp(R_a_eff,'effective armature resistance in per unit=')\n", +"R_a_eff=1800/((118^2)*3);//per phase\n", +"disp(R_a_eff,'effective armature resistance in ohms per phase=')\n", +"//Result\n", +"//effective armature resistance in per unit=0.04\n", +"//effective armature resistance in ohms per phase=0.0430911" + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.3: EX5_3.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Caption: Finding maximum torque deliver by motor when it is supplied with the power from a)infinite bus b)turbine generator\n", +"// Example 5.3\n", +"\n", +"clear;\n", +"close;\n", +"clc;\n", +"kVA_r=1500/3;//per phase\n", +"V_ta=2300/sqrt(3);//per phase\n", +"I_r=500000/V_ta;//per phase\n", +"X_sm=1.95;\n", +"I_a_X_sm=I_r*X_sm;//syn-reactance V-drop\n", +"E_afm=sqrt(V_ta^2+I_a_X_sm^2);\n", +"p_max=(V_ta*E_afm)/X_sm;//per phase\n", +"P_max=3*p_max;//power in 3 phase\n", +"W_s=2*%pi*4;\n", +"T_max=P_max/W_s;//torque-max\n", +"disp(T_max,'Maximum torque in newton-meteres=')\n", +"//Result\n", +"//Maximum torque in newton-meteres=123341.2\n", +"\n", +"V_ta=2300/sqrt(3);//per phase\n", +"I_r=500000/V_ta;//per phase\n", +"X_sm=1.95;X_sg=2.65;//synchronous reactance of motor ang generator\n", +"I_a_X_sg=I_r*X_sg;//syn-reactance V-drop\n", +"E_afg=sqrt(V_ta^2+I_a_X_sg^2);\n", +"p_max=(E_afg*E_afm)/(X_sm+X_sg);//per phase\n", +"P_max=3*p_max;//power in 3 phase\n", +"W_s=2*%pi*4;\n", +"T_max=P_max/W_s;//torque-max\n", +"disp(T_max,'Maximum torque in newton-meteres=')\n", +"//Result\n", +"//Maximum torque in newton-meteres=65401.933\n", +"\n", +"I_a=sqrt(E_afm^2+E_afg^2)/(X_sg+X_sm);\n", +"alpha=acos(E_afm/(I_a*(X_sg+X_sm)));\n", +"\n", +"V_ta=E_afm-I_a*X_sm*cos(alpha)+%i*I_a*X_sm*sin(alpha);\n", +"disp(V_ta,'terminal voltage=')\n", +"//Result\n", +"//terminal voltage=874.14246 + 704.12478i " + ] + } +, +{ + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 5.4: Finding_efficiency_of_machine.sce" + ] + }, + { +"cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], +"source": [ +"// Caption: Finding efficiency of machine\n", +"// Example 5.4\n", +"\n", +"clear;\n", +"close;\n", +"clc;\n", +"I_a=45000/(sqrt(3)*230*.8);//armature current\n", +"R_f=29.8*((234.5+75)/(234.5+25));//field resistance at 75 degree celsius\n", +"R_a=0.0335*((234.5+75)/(234.5+25));//armature dc resistance at 75 degree celsius\n", +"I_f=5.5;\n", +"L_f=(I_f^2*R_f)/1000;//field loss\n", +"L_a=(3*I_a^2*R_a)/1000;//armature loss\n", +"V_i=230/sqrt(3)-I_a*(.8+%i*.6)*R_a;//internal voltage\n", +"L_s=.56;//stray load loss\n", +"L_c=1.2;//open circuit core loss\n", +"L_w=.91;//frictional and winding loss\n", +"L_t=L_f+L_a+L_s+L_c+L_w//total losses\n", +"Input=46.07;\n", +"Eff=1-L_t/Input;\n", +"disp(Eff*100,'efficiency of the system is(%) ')\n", +"//Result\n", +"//efficiency of the system is(%)86.683487" + ] + } +], +"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 +} |