Power Electronic Systems: Walsh Analysis with MATLAB®

A Totally Different Outlook on Power Electronic System Analysis Power Electronic Systems: Walsh Analysis with MATLAB® builds a case for Walsh analysis as a powerful tool in the study of power electronic systems. It considers the application of Walsh functions in analyzing power electronic systems, and the advantages offered by Walsh domain analysis of power electronic systems. Solves Power Electronic Systems in an Unconventional Way This book successfully integrates power electronics as well as systems and control. Incorporating a complete orthonormal function set very much unlike the sine-cosine functions, it introduces a blending between piecewise constant orthogonal functions and power electronic systems. It explores the background and evolution of power electronics, and discusses Walsh and related orthogonal basis functions. It develops the mathematical foundation of Walsh analysis, and first- and second-order system analyses by Walsh technique. It also describes the Walsh domain operational method and how it is applied to linear system analysis. Introduces Theories Step by Step While presenting the underlying principles of Walsh analysis, the authors incorporate many illustrative examples, and include a basic introduction to linear algebra and MATLAB® programs. They also examine different orthogonal piecewise constant basis functions like Haar, Walsh, slant, block pulse functions, and other related orthogonal functions along with their time scale evolution. Analyzes pulse-fed single input single output (SISO) first- and second-order systems Considers stepwise and continuously pulse width modulated chopper systems Describes a detailed analysis of controlled rectifier circuits Addresses inverter circuits Power Electronic Systems: Walsh Analysis with MATLAB® is written for postgraduate students, researchers, and academicians in the area of.

Power electronics as well as systems and control.

Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents -- List of Principal Symbols -- Preface -- Authors -- 1 Introduction -- 1.1 Evolution of Power Electronics -- 1.2 Analysis of Power Electronic Circuits -- 1.2.1 Fourier Series Technique -- 1.2.2 Laplace Transform Method -- 1.2.3 Existence Function Technique -- 1.2.4 State Variable Method -- 1.2.5 Averaging Technique -- 1.2.6 z-Transform Analysis -- 1.2.7 Other Methods of Analysis -- 1.3 Search for a New Method of Analysis -- References -- 2 An Alternative Class of Orthogonal Functions -- 2.1 Orthogonal Functions and Their Properties -- 2.2 Haar Functions -- 2.3 Rademacher and Walsh Functions -- 2.3.1 Representation of a Function Using Walsh Functions -- 2.4 Block Pulse Functions and Their Applications -- 2.4.1 Representation of a Function as a Linear Combination of BPFs -- 2.5 Slant Functions -- 2.6 Delayed Unit Step Functions -- 2.7 General Hybrid Orthogonal Functions -- 2.8 Sample-and-Hold Functions -- 2.9 Triangular Functions -- 2.10 Hybrid Function: A Combination of SHF and TF -- 2.11 Applications of Walsh Functions -- References -- 3 Walsh Domain Operational Method of System Analysis -- 3.1 Introduc…