// Example2_29_pg130.sce // Positive and negative sequence voltages // Theory of Alternating Current Machinery by Alexander Langsdorf // First Edition 1999, Thirty Second reprint // Tata McGraw Hill Publishing Company // Example in Page 130 clear; clc; close; // Given data V_1 = 1000 + %i*50; V_2 = -800 + %i*100; V_3 = -200 - %i*150; a = cos(2*%pi/3) + %i*sin(2*%pi/3); // Calculations disp('According to Equations 2-88 and 2-89 in page 130'); V_1p = (V_1 + V_2*a + V_3*a^2)/3; V_1n = (V_1 + V_2*a^(-1) + V_3*a^(-2))/3; printf("\n\nPositive sequence voltage is = %0.4f /_ %0.2f Volts \nNegative sequence voltage is = %0.4f /_ %0.2f Volts\n", abs(V_1p),atan(imag(V_1p)/real(V_1p))*180/%pi, abs(V_1n),atan(imag(V_1n)/real(V_1n))*180/%pi); // Result // According to Equations 2-88 and 2-89 in page 130 // // // Positive sequence voltage is = 452.7740 /_ -19.11 Volts // Negative sequence voltage is = 605.5265 /_ 19.11 Volts