+
V
L1
L2
+
C1
D1
C2
RV
Fig. 3.37 ?uk converter, Problem 3.11.
(a)
Derive an equivalent circuit model for this converter. Suggestion: if you don't know how to han-
dle some of the terms in your de equations, then temporarily leave them as dependent sources. A
more physical representation of these terms may become apparent once de transformers are
incorporated into the model.
Problems
61
(b)
Derive analytical expressions for the converter output voltage and for the efficiency.
(c)
For $V_g = 0$, plot $V_o/V_g$ vs. $D$ over the range $0 \le D \le 1$, for (i) $R_{on}/R = 0.01$, and (ii) $R_{on}/R = 0.05$.
(d)
For $V_g = 0$, plot the converter efficiency over the range $0 \le D \le 1$, for (i) $R_{on}/R = 0.01$, and (ii)
$R_{on}/R = 0.05$.
