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.
1 Introduction
Evolution of Power Electronics
Analysis of Power Electronic Circuits
Search for a New Method of Analysis
References
2 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
References
3 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
Conclusion
References
4 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
Conclusion
References
5 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
Conclusion
References
6 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
Conclusion
References
Appendices
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