4.7 An IGBT and a silicon diode operate in a buck converter, with the IGBT wavef

Question

4.7 An IGBT and a silicon diode operate in a buck converter, with the IGBT waveforms illustrated in Fig. 4.57. The converter operates with input voltage Vg = 400 V, output voltage V= 200 V, and load current/ = 10 A. CE(t) 400 V 40 A 300V 30A 200 V 20 A 100 V 10A+ ic(t) ic(t) 0 2 Fig. 4.57 IGBT voltage and current waveforms, Problem 4.7 (a) Estimate the total energy lost during the switching transitions (b)The forward voltage drop of the IGBT is 2.5 V, and the diode has forward voltage drop 1.5 V. All other sources of conduction loss and fixed loss can be neglected. Estimate the semiconductor conduction loss. Sketch the converter efficiency over the range of switching frequencies 1 kHz sf, s 100 kHz, and label numerical values. (e)

Explanation / Answer

clc
clear all
A=[4 1 2 -3; -3 3 -1 4; -1 2 5 1; 5 4 3 -1];
b=[-16; 20; -4; -10];
[L,U,P]=lu(A);
%verifying PA=LU
PA=P*A
LU=L*U
disp('PA-LU=')
PA-LU
% finding solution with LUP method
LY=P*b;
Y=inv(L)*LY;
xlu=inv(U)*Y

%finding solution with regular inversion
x=inv(A)*b;

%verifying the results
disp('norm(xlu-x)')
norm(xlu-x)

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