// Electric Machinery and Transformers // Irving L kosow // Prentice Hall of India // 2nd editiom // Chapter 7: PARALLEL OPERATION // Example 7-1 clear; clc; close; // Clear the work space and console. // Given data R_sh = 120 ; // Shunt field resistance in ohm R_a = 0.1 ; // Armature resistance in ohm V_L = 120 ; // Line voltage in volt E_g1 = 125 ; // Generated voltage by dynamo A E_g2 = 120 ; // Generated voltage by dynamo B E_g3 = 114 ; // Generated voltage by dynamo C // Calculations // case a // 1: I_gA = ( E_g1 - V_L ) / R_a ; // Current in the generating source A ( in A) I_f = V_L / R_sh ; // Shunt field current in A I_a1 = I_gA + I_f ; // Armature current in A for generator A I_L1 = I_gA ; // Current delivered by dynamo A to the bus in A // 2: I_gB = ( E_g2 - V_L ) / R_a ; // Current in the generating source B ( in A) I_a2 = I_gB + I_f ; // Armature current in A for generator B I_L2 = I_gB ; // Current delivered by dynamo B to the bus in A // 3: I_gC = ( V_L - E_g3 ) / R_a ; // Current in the generating source C ( in A) I_a3 = I_gC ; // Armature current in A for generator C I_L3 = I_gC + I_f ; // Current delivered by dynamo C to the bus in A // case b // 1: P_LA = V_L * I_L1 ; // Power delivered to the bus by dynamo A in W P_gA = E_g1 * I_a1 ; // Power generated by dynamo A // 2: P_LB = V_L * I_L2 ; // Power delivered to the bus by dynamo B in W P_gB = E_g2 * I_a2 ; // Power generated by dynamo B // 3: P_LC = V_L * I_L3 ; // Power delivered to the bus by dynamo C in W P_gC = E_g3 * I_a3 ; // Power generated by dynamo C // Display the results disp("Example 7-1 Solution : "); printf(" \n a: 1. I_gA = %d A \t I_f = %d A ", I_gA,I_f ); printf(" \n Thus,dynamo A delivers %d A to the bus and has an armature", I_gA); printf(" \n current of %d A + %d A = %d \n", I_gA,I_f,I_a1 ); printf(" \n 2. I_gB = %d A ", I_gB); printf(" \n Thus, dynamo B is floating and has as armature & field current of %d A \n",I_f); printf(" \n 3. I_gC = %d A ",I_gC); printf(" \n Dynamo C receives %d A from the bus & has an armature current of %d A\n",I_L3,I_a3); printf(" \n b: 1. Power delivered to the bus by dynamo A is : "); printf(" \n P_LA = %d W ",P_LA); printf(" \n Power generated by dynamo A is \n P_gA = %d W \n",P_gA); printf(" \n 2. Since dynamo B neither delivers power to nor receives power from the bus, "); printf(" \n P_B = %d W ",P_LB); printf(" \n Power generated by dynamo B,to excite its field, is"); printf(" \n P_gB = %d W \n ", P_gB); printf(" \n 3. Power delivered by the bus to dynamo C is "); printf(" \n P_LC = %d W ", P_LC); printf(" \n while the internal power delivered in the direction of rotation"); printf(" \n of its prime mover to aid rotation is \n P_gC = %d W", P_gC );