The switches in the converter operate synchronously: each is in position-1 for 0 < t < D.Ts, and in position-2 for D.Ts

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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The switches in the converter operate synchronously: each is in position-1 for 0 < t < D.Ts,
and in position-2 for D.Ts < t < Ts (D is the duty cycle and T, is switching time period).
F
L
roo
+
C
HH
V
m
R
(a) Derive an expression for the voltage conversion ratio M(D)= V/Vg. Plot the graph of M(D)
vs. D within the possible range of operation.
(b) If V₂ = 48 V, R = 40, D = 0.5, T₁ = 1 µs, L = 50 μH, and C = 1 µF; neatly draw the waveforms
(by indicating correct magnitudes) of inductor current (i) and load voltage (V).
Transcribed Image Text:The switches in the converter operate synchronously: each is in position-1 for 0 < t < D.Ts, and in position-2 for D.Ts < t < Ts (D is the duty cycle and T, is switching time period). F L roo + C HH V m R (a) Derive an expression for the voltage conversion ratio M(D)= V/Vg. Plot the graph of M(D) vs. D within the possible range of operation. (b) If V₂ = 48 V, R = 40, D = 0.5, T₁ = 1 µs, L = 50 μH, and C = 1 µF; neatly draw the waveforms (by indicating correct magnitudes) of inductor current (i) and load voltage (V).
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