Analysis and Control of the Chaotic Behavior in a Multi-Cell DC/DC Buck Converter

Karama Koubaâ
National Engineering School of Sfax, University of Sfax, Tunisia

Series: Electrical Engineering Developments
BISAC: TEC007000

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Volume 10

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Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick

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Multi-cell power converters have been widely used in real applications since they circumvent shortcomings of ordinary switching devices due to their ability to support high-voltages.

In this book, we deal with the case of an N-cell DC/DC buck converter, and we present a systematic method to control the voltage across the flying capacitors and the current through the load that can be generalized from a two-cell converter to an N-cell converter. The system was described by a discrete-time model through some simplifying assumptions to derive easily the general model in the form of a recurrence equation, which is useful in the design of control laws and exhibits chaotic behavior, bifurcations and strange phenomena when applying feedback control methods.

In addition, the problem of the windup phenomenon, which is caused by the effect of switching, was discussed along with an anti-windup approach that was developed and successfully applied to the controlled DC/DC buck converter.
A generalization of the various control laws adopted and a comparison between the results obtained with these methods were given, including the performance of the controlled system and the types of bifurcations encountered. Throughout this work, it has been shown that as the number of cells in the converter increases, the complexity of the uncontrolled system model and the closed loop system also increases.

List of Figures

List of Tables

Preface

Chapter 1. Chaotic Behavior in Dynamical Systems

Chapter 2. Modeling of a Multi-Cell DC/DC Buck Converter

Chapter 3. Chaos, Bifurcations and Strange Phenomena in the Two-Cell Converter

Chapter 4. Dynamic Control of the Converter

Bibliography

Index

Keywords: multi-cell DC/DC buck converter, discrete-time model, chaotic behavior, bifurcations, strange phenomena, windup phenomenon

This book is written to researchers in chaos control, power electronics, automatic control and to industrial people interested in power electronics especially multi-cell converters.

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