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V In the buck-boost converter shown above, the inductor has winding resistance R1. All other losses can be ignored. a. Derive an expression for the nonideal voltage conversion ratio V/Vg. b. Plot your result of part (a) over the range 0 < D< 1, for R/R = 0, 0.01, and 0.05. c. Derive an expression for the efficiency. d. Derive an equivalent circuit model for this converter. Your model should explicitly show the input port of the converter, and should contain two dc transformers.

V In the buck-boost converter shown above, the inductor has winding resistance R1. All other losses can be ignored. a. Derive an expression for the nonideal voltage conversion ratio V/Vg. b. Plot your result of part (a) over the range 0 < D< 1, for R/R = 0, 0.01, and 0.05. c. Derive an expression for the efficiency. d. Derive an equivalent circuit model for this converter. Your model should explicitly show the input port of the converter, and should contain two dc transformers.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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V In the buck-boost converter shown above, the inductor has winding resistance R. All other losses can be ignored. a. Derive an expression for the nonideal voltage conversion ratio V/Vg. b. Plot your result of part (a) over the range 0 < D< 1, for R/R = 0, 0.01, and 0.05. c. Derive an expression for the efficiency. d. Derive an equivalent circuit model for this converter. Your model should explicitly show the input port of the converter, and should contain two dc transformers. ele
Transcribed Image Text:V In the buck-boost converter shown above, the inductor has winding resistance R. All other losses can be ignored. a. Derive an expression for the nonideal voltage conversion ratio V/Vg. b. Plot your result of part (a) over the range 0 < D< 1, for R/R = 0, 0.01, and 0.05. c. Derive an expression for the efficiency. d. Derive an equivalent circuit model for this converter. Your model should explicitly show the input port of the converter, and should contain two dc transformers. ele
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