In the buck-boost converter of Fig. 3.30, the inductor has winding resistance R₁. All other losses can be ignored. (a) (b) (c) Derive an expression for the nonideal voltage conversion ratio VIV Plot your result of part (a) over the range 0 SD≤ 1, for R/R=0, 0.01, and 0.05. Derive an expression for the efficiency. Manipulate your expression into a form similar to Eq. (3.35) T ele Fig. 3.30 Nonideal buck-boost converter, Problems 3.1 and 3.2.

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In the buck-boost converter of Fig. 3.30, the inductor has winding resistance R₁. All other losses can be
ignored.
(b)
(c)
Derive an expression for the nonideal voltage conversion ratio VIV
Plot your result of part (a) over the range 0 SDS 1, for R/R=0, 0.01, and 0.05.
Derive an expression for the efficiency. Manipulate your expression into a form similar to Eq.
(3.35)
T
Fig. 3.30 Nonideal back-boost converter, Problems 3.1 and 3.2.
Transcribed Image Text:In the buck-boost converter of Fig. 3.30, the inductor has winding resistance R₁. All other losses can be ignored. (b) (c) Derive an expression for the nonideal voltage conversion ratio VIV Plot your result of part (a) over the range 0 SDS 1, for R/R=0, 0.01, and 0.05. Derive an expression for the efficiency. Manipulate your expression into a form similar to Eq. (3.35) T Fig. 3.30 Nonideal back-boost converter, Problems 3.1 and 3.2.
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