// Electric Machinery and Transformers // Irving L kosow // Prentice Hall of India // 2nd editiom // Chapter 8: AC DYNAMO TORQUE RELATIONS - SYNCHRONOUS MOTORS // Example 8-8 clear; clc; close; // Clear the work space and console. // Given data from Ex.8-3a // 3- phase Y-connected synchronous motor P = 6 ; // No. of poles hp = 50 ; // power rating of the synchronous motor in hp V_L = 440 ; // Line voltage in volt X_s = 2.4 ; // Synchronous reactance in ohm R_a = 0.1 ; // Effective armature resistance in ohm alpha = 20 ; // The rotor shift from the synchronous position in // electrical degrees. E_gp = 240 ; // Generated voltage/phase in volt when the motor is under-excited f = 60 ; // Frequency in Hz // Calculated values from Example 8-3a V_p = 254 ; // Phase voltage in volt // Calculations // case a // Torque developed per phase Using Eq.(8-17a) S = 120 * f / P ; // Speed of the motor in rpm T_p = ( 7.04 * E_gp * V_p ) / ( S*X_s) * sind(alpha); // case b // Total horsepower developed using part a Horsepower = ( 3*T_p*S )/5252; // Display the results disp("Example 8-8 Solution : "); printf(" \n From given and calculated data of Ex.8-3a,\n"); printf(" \n a: T_p = %.2f lb-ft \n ", T_p ); printf(" \n b: Horsepower = %.1f hp ", Horsepower );