hwk 6 solution

# hwk 6 solution - ECE472 HOMEWORK#6 SOLUTIONS Problem...

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ECE472 HOMEWORK #6 – SOLUTIONS FALL 2013 Problem 6.1 (Problem 4-34 p. 167) % MATLAB script for Problem 4-34 p. 167 clear all; clc; f = 60; T = 1/f; VmLL = 480*sqrt(2); R = 50; % Part (a) n = 6; Voavg = VmLL*(n/pi)*sin(pi/n); Ioavg = Voavg/R % Ioavg = 12.9646 A % Part (b) Vorms = VmLL*sqrt(1/2 + (n/4/pi)*sin(2*pi/n)); Iorms = Vorms/R % Iorms = 12.9760 A % Part (c) Isrms = sqrt(2/3)*Iorms % Isrms = 10.5948 A % Part (d) Vsrms = 480/sqrt(3); S3ph = 3*Vsrms*Isrms; P = R*Iorms*Iorms; PF = P/S3ph % PF = 0.9558 Problem 6.2 (Problem 4-35 p. 168) % MATLAB script for Problem 4-35 p. 168 clear all; clc; f = 60; T = 1/f; VmLL = 240*sqrt(2); R = 80; % Part (a) n = 6; Voavg = VmLL*(n/pi)*sin(pi/n); Ioavg = Voavg/R % Ioavg = 4.0514 A % Part (b) Vorms = VmLL*sqrt(1/2 + (n/4/pi)*sin(2*pi/n)); Iorms = Vorms/R % Iorms = 4.0550 A % Part (c) Isrms = sqrt(2/3)*Iorms % Isrms = 3.3109 A % Part (d) Vsrms = 240/sqrt(3); S3ph = 3*Vsrms*Isrms; P = R*Iorms*Iorms; PF = P/S3ph % PF = 0.9558 1

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Problem 6.3 (Problem 4-36 p. 168) % MATLAB script for Problem 4-36 p. 168 clear all; clc; f = 60; w = 2*pi*f; VrmsLL = 480; VmLL = VrmsLL*sqrt(2); R = 100; L = 0.015; % Part (a) n = 6; Vo = VmLL*(n/pi)*sin(pi/n); Ioavg = Vo/R % Ioavg = 6.4823 A V6 = 2*Vo/(n*n-1)/sqrt(2); Z6 = sqrt(R*R + (6*w*L)*(6*w*L)); I6 = V6/Z6; Iorms = sqrt(Ioavg*Ioavg + I6*I6) % Iorms = 6.4870 A
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• Fall '08
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• SQRT, Total harmonic distortion, Ioavg, Iorms

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