1st Edition

Power Electronic Systems Walsh Analysis with MATLAB®

By Anish Deb, Suchismita Ghosh Copyright 2014
    298 Pages 76 B/W Illustrations
    by CRC Press

    297 Pages 76 B/W Illustrations
    by CRC Press

    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.


    Evolution of Power Electronics

    Analysis of Power Electronic Circuits

    Search for a New Method of Analysis


    An Alternative Class of Orthogonal Functions

    Orthogonal Functions and Their Properties

    Haar Functions

    Rademacher and Walsh Functions

    Block Pulse Functions and Their Applications

    Slant Functions

    Delayed Unit Step Functions

    General Hybrid Orthogonal Functions

    Sample-and-Hold Functions

    Triangular Functions

    Hybrid Function: A Combination of SHF and TF

    Applications of Walsh Functions


    Walsh Domain Operational Method of System Analysis

    Introduction to Operational Matrices

    Time Scaling of Operational Matrices

    Philosophy of the Proposed Walsh Domain Operational Technique

    Analysis of a First-Order System with Step Input

    Analysis of a Second-Order System with Step Input

    Oscillatory Phenomenon in Walsh Domain System Analysis



    Analysis of Pulse-Fed Single-Input Single-Output Systems

    Analysis of a First-Order System

    Analysis of a Second-Order System

    Pulse-Width Modulated Chopper System



    Analysis of Controlled Rectifier Circuits

    Representation of a Sine Wave by Walsh Functions

    Conventional Analysis of Half-Wave Controlled Rectifier

    Walsh Domain Analysis of Half-Wave Controlled Rectifier

    Walsh Domain Analysis of Full-Wave Controlled Rectifier



    Analysis of Inverter Circuits

    Voltage Control of a Single-Phase Inverter

    Analysis of an RL Load Fed from a Typical Three-Phase Inverter Line-to-Neutral Voltage






    Anish Deb obtained his BTech in 1974 (recipient of Calcutta University silver medal), MTech in 1976 (recipient of Calcutta University gold medal and P. N. Ghosh memorial gold medal), and PhD (Tech) in 1990 from the Department of Applied Physics, University of Calcutta, India. In 1978, he joined the Department of Applied Physics, University of Calcutta, as Lecturer in 1983. In 1990, he became Reader (associate professor) in the same department. He has been holding the post of Professor since 1998. His research interest includes automatic control in general and application of "alternative" orthogonal functions in power electronics and systems and control. He has authored one book entitled "Triangular orthogonal functions for the analysis of continuous time systems" and published more than 65 research papers in different national and international journals and conferences.

    Suchismita Ghosh obtained her BTech (2008) from the Calcutta Institute of Engineering and Management, West Bengal University of Technology, India, and MTech (2010) from the Department of Applied Physics, University of Calcutta, India. She is currently an assistant professor in the Department of Electrical Engineering, MCKV Institute of Engineering, West Bengal University of Technology, India. She has taught courses on power electronics, basic electrical engineering, control systems, and electrical machines. Her research area includes automatic control in general and application of "alternative" orthogonal functions in systems and control. She is presently involved in research with Anish Deb and has published five research papers in international journals and national conferences.

    "One of the salient features of power electronic dynamics is the switching of the waveforms involved in the phenomenon. However, time domain analysis of power electronics often uses Fourier series to represent waveforms despite its smooth nature and its difficulties to compactly represent switching signals. This book uses Walsh Series, a switching orthogonal set of functions, to more effectively represent waveforms in power electronics. The book may be the only one in the market with this philosophy."
    ––J Jesus Rico-Melgoza, Universidad Michoacana de San Nicolas de Hidalgo, Morelia, Mexico

    "… a remarkable job of presenting the subject in a clear and coherent manner. … My recommendation to anyone who is interested in the analysis any other system with such discontinuous phenomena: This book may guide you to the use of appropriate tools."
    —Ganti Prasada Rao, Member, UNESCO-EOLSS Joint Committee

    "… an authoritative reference for researchers and engineering professionals with an interest in the area of power electronic systems, their optimization and practical applications."
    —Radomir S. Stanković, Dept. of Computer science, Faculty of Electronic Engineering, Niš, Serbia

    "… a refreshing approach based on Walsh analysis and presents an alternate approach to Fourier series approach that is usually followed. The material presented is quite systematic. Even if one does not have any prior knowledge on the topics, the book is still very much readable. It presents a detail bottom-to-top tutorial approach in each chapter, with adequate background material in first two chapters, which I am sure will make it quite easier for the students and practicing engineers to follow the concepts effortlessly."
    —Radhakant Padhi, Indian Institute of Science, Bangalore