// Electric Machinery and Transformers // Irving L kosow // Prentice Hall of India // 2nd editiom // Chapter 9: POLYPHASE INDUCTION (ASYNCHRONOUS) DYNAMOS // Example 9-18 clear; clc; close; // Clear the work space and console. // Given data // three-phase WRIM V_o = 220 ; // Rated voltage in volt P_o = 10 ; // Rated power in hp P = 4 ; // Number of poles in WRIM(assumption) f = 60 ; // Frequency in Hz(assume,not given) R_ro = 0.3 ; // Rotor resistance in ohm T_o = 30 ; // Rated torque in lb-ft S_r = 1750 ; // Rated rotor speed in rpm R_r_ext = 1.7 ; // External rotor resistance in ohm/phase inserted in the rotor ckt R_rn = R_ro + R_r_ext ; // Total rotor resistance in ohm V_n1 = 240 ; // Impressed stator voltage in volt(case a) V_n2 = 208 ; // Impressed stator voltage in volt(case b) V_n3 = 110 ; // Impressed stator voltage in volt(case c) // Calculations S = (120*f)/P ; // Speed in rpm of the rotating magnetic field // case a : Impressed stator voltage = 240 V s_o = (S - S_r)/S ; // Rated slip T_n1 = T_o * (V_n1/V_o)^2 ; // New torque in lb-ft s_n1 = s_o * (T_o/T_n1) * (R_rn/R_ro); // New slip S_rn1 = S*(1 - s_n1); // case b : Impressed stator voltage = 208 V T_n2 = T_o * (V_n2/V_o)^2 ; // New torque in lb-ft s_n2 = s_o * (T_o/T_n2) * (R_rn/R_ro); // New slip S_rn2 = S*(1 - s_n2); // case c : Impressed stator voltage = 110 V T_n3 = T_o * (V_n3/V_o)^2 ; // New torque in lb-ft s_n3 = s_o * (T_o/T_n3) * (R_rn/R_ro); // New slip S_rn3 = S*(1 - s_n3); // Display the results disp("Example 9-18 Solution : "); printf(" \n a: Rated slip :\n s = %f\n",s_o); printf(" \n For impressed stator voltage = %d V \n ",V_n1); printf(" \n New torque :\n T_n = %.1f lb-ft \n ",T_n1); printf(" \n New slip :\n s_n = %f \n ",s_n1); printf(" \n New rotor speed :\n S_r = %f rpm \n",S_rn1); printf(" \n b: For impressed stator voltage = %d V \n ",V_n2); printf(" \n New torque :\n T_n = %.2f lb-ft \n ",T_n2); printf(" \n New slip :\n s_n = %f \n ",s_n2); printf(" \n New rotor speed :\n S_r = %f rpm \n",S_rn2); printf(" \n c: For impressed stator voltage = %d V \n ",V_n3); printf(" \n New torque :\n T_n = %.1f lb-ft \n ",T_n3); printf(" \n New slip :\n s_n = %f \n ",s_n3); printf(" \n New rotor speed :\n S_r = %f rpm \n",S_rn3);