// Electric Machinery and Transformers // Irving L kosow // Prentice Hall of India // 2nd editiom // Chapter 14: TRANSFORMERS // Example 14-2 clear; clc; close; // Clear the work space and console. // Given data V_h = 2300 ; // high voltage in volt V_l = 115 ; // low voltage in volt V_1 = 2300 ; // Primary voltage in volt V_2 = 115 ; // Secondary voltage in volt f = 60 ; // Frequency in Hz S = 4.6 ; // kVA rating of the step-down transformer S_1 = S ; S_2 = S ; V_per_turn = 2.5 ; // Induced EMF per turn in V/turn // Ideal transformer // Calculations // case a N_h = V_h / V_per_turn ; // Number of high-side turns N_l = V_l / V_per_turn ; // Number of low-side turns N_1 = N_h;// Number of turns in the primary N_2 = N_l;// Number of turns in the secondary // case b I_1 = S_1*1000 / V_1 ; // Rated primary current in A I_2 = S_2*1000 / V_2 ; // Rated secondary current in A I_h = 2 ; // Rated current in A on HV side I_l = 40 ; // Rated current in A on LV side // case c // subscript c for alpha_stepdown and alpha_stepup indicates case c alpha_stepdown_c = N_1 / N_2 ; // step-down transformation ratio alpha_stepup_c = N_l / N_h ; // step-up transformation ratio // case d // subscript d for alpha_stepdown and alpha_stepup indicates case d alpha_stepdown_d = I_2 / I_1 ; // step-down transformation ratio alpha_stepup_d = I_h / I_l ; // step-up transformation ratio // Display the results disp("Example 14-2 Solution : "); printf(" \n a: Number of high-side turns :\n N_h = %d t = N_1 \n",N_h); printf(" \n Number of low-side turns :\n N_l = %d t = N_2\n",N_l); printf(" \n b: Rated primary current :\n I_h = I_1 = %d A \n",I_1); printf(" \n Rated secondary current :\n I_l = I_2 = %d A\n",I_2); printf(" \n c: step-down transformation ratio :\n α = N_1/N_2 = %d\n",alpha_stepdown_c); printf(" \n step-up transformation ratio :\n α = N_l/N_h = %.2f\n",alpha_stepup_c); printf(" \n d: step-down transformation ratio :\n α = I_2 / I_1 = %d\n",alpha_stepdown_d); printf(" \n step-up transformation ratio :\n α = I_h / I_lh = %.2f\n",alpha_stepup_d);