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+// Electric Machinery and Transformers

+// Irving L kosow 

+// Prentice Hall of India

+// 2nd editiom

+

+// Chapter 9: POLYPHASE INDUCTION (ASYNCHRONOUS) DYNAMOS

+// Example 9-10

+

+clear; clc; close; // Clear the work space and console.

+

+// Given data

+P = 4 ; // Number of poles in WRIM

+f = 60 ; // Frequency in Hz

+V = 220 ; // Line voltage in volt

+V_p = 220 ; // Phase voltage in volt (delta connection)

+hp_WRIM = 1 ; // Power rating of WRIM in hp

+S_r = 1740 ; // Full-load rated speed in rpm 

+R_r = 0.3 ; // rotor resistance per phase in ohm/phase 

+R_x = 0.7 ; // Added resistance in ohm/phase 

+X_lr =1 ; // Locked rotor reactance in ohm

+

+// Calculations

+S = (120*f)/P ; // Speed in rpm of the rotating magnetic field

+// case a

+E_lr = V_p / 4 ; // Locked-rotor voltage per phase

+

+// case b

+s = ( S - S_r)/S ; // slip

+I_r = E_lr / sqrt( (R_r/s)^2 + (X_lr)^2 ); // Rotor current per phase at rated speed

+

+// case c

+P_in = ((I_r)^2 * R_r)/s ; // Rated rotor power input per phase

+

+// case d

+P_RL = (I_r)^2 * R_r ; // Rated copper loss per phase

+

+// case e

+P_d_W = P_in - P_RL ; // Rotor power developed per phase in W

+P_d_hp = P_d_W/746 ; // Rotor power developed per phase in hp

+

+// case f

+hp = P_d_hp ; // Rotor power developed per phase in hp

+T_d1 = (hp*5252)/S_r ; // Rotor torque developed in lb-ft per phase by method 1

+T_d2 = 7.04*(P_in/S) ; // Rotor torque developed in lb-ft per phase by method 2

+

+T_dm = 3*T_d1 ; // Total rotor torque in lb-ft

+

+// Display the results

+disp("Example 9-10 Solution : ");

+printf(" \n a: Locked-rotor voltage per phase : \n    E_lr = %d V \n ",E_lr);

+

+printf(" \n b: slip : \n    s = %.2f \n",s);

+printf(" \n    Rotor current per phase at rated speed:\n    I_r = %.3f A/phase \n ",I_r);

+

+printf(" \n c: Rated rotor power input per phase :\n    P_in = %d W/phase \n ",P_in);

+

+printf(" \n d: Rated copper loss per phase : \n    P_RL = %.2f W \n ",P_RL);

+

+printf(" \n e: Rotor power developed per phase in W :\n    P_d = %.1f W/phase ",P_d_W);

+printf(" \n\n    Rotor power developed per phase in hp :\n    P_d = %.2f hp/phase \n ",P_d_hp);

+

+printf(" \n f: Rotor torque developed in lb-ft per phase :\n    T_d = %.1f lb-ft  (method 1)",T_d1);

+printf(" \n\n    T_d = %.1f lb-ft  (method 2)",T_d2);

+printf(" \n\n    Total rotor torque : \n    T_dm = %.1f lb-ft )\n ",T_dm);