// Electric Machinery and Transformers // Irving L kosow // Prentice Hall of India // 2nd editiom // Chapter 14: TRANSFORMERS // Example 14-4 clear; clc; close; // Clear the work space and console. // Given data N_1 = 600 ; // Number of primary turns N_2 = 150 ; // Some number of secondary turns N_3 = 300 ; // Some number of secondary turns Z_2 = 30 ; // Resistive load in ohm across N_2 Z_3 = 15 ; // Resistive load in ohm across N_3 R_2 = 30 ; R_3 = 15 ; V_p = 16 ; // Primary applied voltage in volt cos_theta = 1 ; // unity PF // Calculations // case a Z_2_prime = Z_2 * (N_1/N_2)^2 ; // Impedance reflected to the primary by load Z_2 in ohm // case b Z_3_prime = Z_3 * (N_1/N_3)^2 ; // Impedance reflected to the primary by load Z_3 in ohm // case c // Total impedance reflected to the primary in ohm Z_1 = (Z_2_prime * Z_3_prime) / (Z_2_prime + Z_3_prime) ; // case d I_1 = V_p / Z_1 ; // Total current drawn from the supply in A // case e P_t = V_p * I_1 * cos_theta ; // Total power in W drwan from the supply at unity PF // case f V_2 = V_p * (N_2/N_1) ; // Voltage across Z_2 in volt P_2 = (V_2)^2 / R_2 ; // Power dissipated in load Z_2 in W // case g V_3 = V_p * (N_3/N_1) ; // Voltage across Z_3 in volt P_3 = (V_3)^2 / R_3 ; // Power dissipated in load Z_3 in W // case h P_total = P_2 + P_3 ; // Total power dissipated in both loads in W // Display the results disp("Example 14-4 Solution : "); printf(" \n a: Impedance reflected to the primary by load Z_2 : "); printf(" \n Z_2 = %d ohm \n ",Z_2_prime ); printf(" \n b: Impedance reflected to the primary by load Z_3 : "); printf(" \n Z_3 = %d ohm \n ",Z_3_prime ); printf(" \n c: Total impedance reflected to the primary : "); printf(" \n Z_1 = %.1f ohm \n ",Z_1 ); printf(" \n d: Total current drawn from the supply : "); printf(" \n I_1 = %.1f A \n ",I_1 ); printf(" \n e: Total power drawn from the supply at unity PF : "); printf(" \n P_t = %.1f W \n ",P_t ); printf(" \n f: Voltage across Z_2 in volt :\n V_2 = %d V \n ",V_2 ); printf(" \n Power dissipated in load Z_2 :\n P_2 = %.2f W \n",P_2 ); printf(" \n g: Voltage across Z_3 in volt :\n V_3 = %d V \n ",V_3 ); printf(" \n Power dissipated in load Z_3 :\n P_3 = %f W \n",P_3 ); printf(" \n h: Total power dissipated in both loads :\n P_t = %.1f W",P_total);