To reduce the switching harmonics present in the input current of a certain buck converter, an input filter is added as shown in Fig. 3.33. Inductors L, and L, contain winding resistances R₁ and R2, respec- tively. The MOSFET has on-resistance R and the diode forward voltage drop can be modeled by a constant voltage V, plus a resistor R. All other losses can be ignored. 4 m (a) (b) (c) Ru w C₁ Q₁ T D, T Fig. 3.33 Buck converter with input filter, Problem 3.6. 4 R₁2 mom C₂ Derive a complete equivalent circuit model for this circuit. Solve your model to find the de output voltage V. Derive an expression for the efficiency. Manipulate your expression into a form similar to Eq. (3.35)

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To reduce the switching harmonics present in the input current of a certain buck converter, an input filter
is added as shown in Fig. 3.33. Inductors L, and L₂ contain winding resistances R₁₁ and R2, respec-
tively. The MOSFET has on-resistance Rand the diode forward voltage drop can be modeled by a
constant voltage V plus a resistor Rp. All other losses can be ignored.
Ru
4 R₁2
C₁
(a)
(b)
(c)
2₁
+I
T
D,
Fig. 3.33 Buck converter with input filter, Problem 3.6.
Derive a complete equivalent circuit model for this circuit.
Solve your model to find the de output voltage V.
C₂: R
Derive an expression for the efficiency. Manipulate your expression into a form similar to Eq.
(3.35).
Transcribed Image Text:To reduce the switching harmonics present in the input current of a certain buck converter, an input filter is added as shown in Fig. 3.33. Inductors L, and L₂ contain winding resistances R₁₁ and R2, respec- tively. The MOSFET has on-resistance Rand the diode forward voltage drop can be modeled by a constant voltage V plus a resistor Rp. All other losses can be ignored. Ru 4 R₁2 C₁ (a) (b) (c) 2₁ +I T D, Fig. 3.33 Buck converter with input filter, Problem 3.6. Derive a complete equivalent circuit model for this circuit. Solve your model to find the de output voltage V. C₂: R Derive an expression for the efficiency. Manipulate your expression into a form similar to Eq. (3.35).
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