// Electric Machinery and Transformers // Irving L kosow // Prentice Hall of India // 2nd editiom // Chapter 12: POWER,ENERGY,AND EFFICIENCY RELATIONS OF DC AND AC DYNAMOS // Example 12-5 clear; clc; close; // Clear the work space and console. // Given data P = 10000 ; // Power rating of the shunt generator in W V = 230 ;// Voltage rating of the shunt generator in volt S = 1750 ; // Speed in rpm of the shunt generator R_a = 0.2 ; // Armature resistance // Calculated values from Ex.12-1 P_r = 489.2 ; // Shunt generator rotational losses in W Vf_If = 230 ; // Shunt field circuit loss in W I_a_rated = 44.5 ; // Rated armature current in A // Calculations // case a I_a = sqrt( (Vf_If + P_r) / R_a ); // Armature current in A for max.efficiency // case b LF = I_a / I_a_rated ; // Load fraction LF_percent = LF*100 ; // Load fraction in percent // case c P_k = Vf_If + P_r ; eta_max = (P*LF)/( (P*LF) + (Vf_If + P_r) + P_k ) * 100; // Maximum efficiency // case d // subscript d for LF indicates case d LF_d = sqrt(P_k/(I_a_rated^2*R_a)) ; // Load fraction from fixed losses and rated variable losses // Display the results disp("Example 12-5 Solution : "); printf(" \n a: Armature current for max.efficiency :\n I_a = %.f A \n",I_a); printf(" \n b: Load fraction :\n L.F. = %.1f percent = %.3f*rated \n",LF_percent,LF); printf(" \n c: Maximum efiiciency :\n η = %.2f percent \n",eta_max); printf(" \n d: Load fraction from fixed losses and rated variable losses :"); printf(" \n L.F. = %.3f*rated",LF_d);