Power Electronic Systems

Power Electronic Systems

by Anish Deb, Suchismita Ghosh
Released December 2017
Publisher(s): CRC Press
ISBN: 9781351831338

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Book description

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.

Table of contents

  1. Cover Page
  2. Title Page
  3. Copyright Page
  4. Dedication Page
  5. Contents
  6. List of Principal Symbols
  7. Preface
  8. Authors
  9. 1 Introduction
    1. 1.1 Evolution of Power Electronics
    2. 1.2 Analysis of Power Electronic Circuits
      1. 1.2.1 Fourier Series Technique
      2. 1.2.2 Laplace Transform Method
      3. 1.2.3 Existence Function Technique
      4. 1.2.4 State Variable Method
      5. 1.2.5 Averaging Technique
      6. 1.2.6 z-Transform Analysis
      7. 1.2.7 Other Methods of Analysis
    3. 1.3 Search for a New Method of Analysis
    4. References
  10. 2 An Alternative Class of Orthogonal Functions
    1. 2.1 Orthogonal Functions and Their Properties
    2. 2.2 Haar Functions
    3. 2.3 Rademacher and Walsh Functions
      1. 2.3.1 Representation of a Function Using Walsh Functions
    4. 2.4 Block Pulse Functions and Their Applications
      1. 2.4.1 Representation of a Function as a Linear Combination of BPFs
    5. 2.5 Slant Functions
    6. 2.6 Delayed Unit Step Functions
    7. 2.7 General Hybrid Orthogonal Functions
    8. 2.8 Sample-and-Hold Functions
    9. 2.9 Triangular Functions
    10. 2.10 Hybrid Function: A Combination of SHF and TF
    11. 2.11 Applications of Walsh Functions
    12. References
  11. 3 Walsh Domain Operational Method of System Analysis
    1. 3.1 Introduction to Operational Matrices
      1. 3.1.1 Operational Matrix for Integration
        1. 3.1.1.1 Representation of Integration of a Function Using Operational Matrix for Integration
      2. 3.1.2 Operational Matrix for Differentiation
      3. 3.1.2.1 Representation of Differentiation of a Function Using Operational Matrix for Differentiation
    2. 3.2 Time Scaling of Operational Matrices
      1. 3.2.1 Time-Scaled Operational Matrix for Integration
      2. 3.2.2 Time-Scaled Operational Matrix for Differentiation
    3. 3.3 Philosophy of the Proposed Walsh Domain Operational Technique
    4. 3.4 Analysis of a First-Order System with Step Input
    5. 3.5 Analysis of a Second-Order System with Step Input
    6. 3.6 Oscillatory Phenomenon in Walsh Domain System Analysis
      1. 3.6.1 Oscillatory Phenomenon in a First-Order System
      2. 3.6.2 Analytical Study of the Oscillatory Phenomenon
    7. 3.7 Conclusion
    8. References
  12. 4 Analysis of Pulse-Fed Single-Input Single-Output Systems
    1. 4.1 Analysis of a First-Order System
      1. 4.1.1 Single-Pulse Input
      2. 4.1.2 Pulse-Pair Input
      3. 4.1.3 Alternating Double-Pulse Input
    2. 4.2 Analysis of a Second-Order System
      1. 4.2.1 Single-Pulse Input
      2. 4.2.2 Pulse-Pair Input
      3. 4.2.3 Alternating Double-Pulse Input
    3. 4.3 Pulse-Width Modulated Chopper System
      1. 4.3.1 Case I: Stepwise PWM
        1. 4.3.1.1 Walsh Function Representation of Significant Current Variables
        2. 4.3.1.2 Determination of Normalized Average and rms Currents through Load and Semiconductor Components
        3. 4.3.1.3 Determination of Exact Normalized Average and rms Current Equations Considering Switching Transients
      2. 4.3.2 Case II: Continuous PWM
        1. 4.3.2.1 Mathematical Operations
        2. 4.3.2.2 Simulation of an Ideal Continuously Pulse-Width Modulated DC Chopper System
        3. 4.3.2.3 Determination of Normalized Average and rms Currents through Load and Semiconductor Components
        4. 4.3.2.4 Simulation of an Ideal Chopper-Fed DC Series Motor
    4. 4.4 Conclusion
    5. References
  13. 5 Analysis of Controlled Rectifier Circuits
    1. 5.1 Representation of a Sine Wave by Walsh Functions
    2. 5.2 Conventional Analysis of Half-Wave Controlled Rectifier
    3. 5.3 Walsh Domain Analysis of Half-Wave Controlled Rectifier
      1. 5.3.1 Computational Algorithm
    4. 5.4 Walsh Domain Analysis of Full-Wave Controlled Rectifier
      1. 5.4.1 Single-Phase Full-Wave Controlled Rectifier
      2. 5.4.2 Representation of the Load Voltage by Walsh Functions
      3. 5.4.3 Determination of Normalized Average and rms Currents
        1. 5.4.3.1 Exact Equations for Phase-Controlled Rectifier
      4. 5.4.4 Computational Algorithm
    5. 5.5 Conclusion
    6. References
  14. 6 Analysis of Inverter Circuits
    1. 6.1 Voltage Control of a Single-Phase Inverter
      1. 6.1.1 Single-Pulse Modulation
        1. 6.1.1.1 Walsh Function Representation of Single-Pulse Modulation
        2. 6.1.1.2 Computation of Normalized Average and rms Load Currents for Single–Pulse Modulation
    2. 6.2 Analysis of an RL Load Fed from a Typical Three-Phase Inverter Line-to-Neutral Voltage
    3. 6.3 Conclusion
    4. References
  15. Appendix A: Introduction to Linear Algebra
  16. Appendix B: Selected MATLAB® Programs
  17. Index

Product information

  • Title: Power Electronic Systems
  • Author(s): Anish Deb, Suchismita Ghosh
  • Release date: December 2017
  • Publisher(s): CRC Press
  • ISBN: 9781351831338