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Power electronic systems : walsh analysis with MATLAB®

Author: Anish Deb; Suchismita Ghosh
Publisher: Boca Raton : CRC Press/Taylor & Francis Group, [2014]
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
This text 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.  Read more...
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Document Type: Book
All Authors / Contributors: Anish Deb; Suchismita Ghosh
ISBN: 9781482215960 1482215969
OCLC Number: 859196210
Description: xiv, 281 pages : illustrations ; 24 cm
Contents: Machine generated contents note: 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. Contents note continued: 2.11. Applications of Walsh Functions --
References --
3. Walsh Domain Operational Method of System Analysis --
3.1. Introduction to Operational Matrices --
3.1.1. Operational Matrix for Integration --
3.1.1.1. Representation of Integration of a Function Using Operational Matrix for Integration --
3.1.2. Operational Matrix for Differentiation --
3.1.2.1. Representation of Differentiation of a Function Using Operational Matrix for Differentiation --
3.2. Time Scaling of Operational Matrices --
3.2.1. Time-Scaled Operational Matrix for Integration --
3.2.2. Time-Scaled Operational Matrix for Differentiation --
3.3. Philosophy of the Proposed Walsh Domain Operational Technique --
3.4. Analysis of a First-Order System with Step Input --
3.5. Analysis of a Second-Order System with Step Input --
3.6. Oscillatory Phenomenon in Walsh Domain System Analysis --
3.6.1. Oscillatory Phenomenon in a First-Order System --
3.6.2. Analytical Study of the Oscillatory Phenomenon. Contents note continued: 3.7. Conclusion --
References --
4. Analysis of Pulse-Fed Single-Input Single-Output Systems --
4.1. Analysis of a First-Order System --
4.1.1. Single-Pulse Input --
4.1.2. Pulse-Pair Input --
4.1.3. Alternating Double-Pulse Input --
4.2. Analysis of a Second-Order System --
4.2.1. Single-Pulse Input --
4.2.2. Pulse-Pair Input --
4.2.3. Alternating Double-Pulse Input --
4.3. Pulse-Width Modulated Chopper System --
4.3.1. Case I: Stepwise PWM --
4.3.1.1. Walsh Function Representation of Significant Current Variables --
4.3.1.2. Determination of Normalized Average and rms Currents through Load and Semiconductor Components --
4.3.1.3. Determination of Exact Normalized Average and rms Current Equations Considering Switching Transients --
4.3.2. Case II: Continuous PWM --
4.3.2.1. Mathematical Operations --
4.3.2.2. Simulation of an Ideal Continuously Pulse-Width Modulated DC Chopper System. Contents note continued: 4.3.2.3. Determination of Normalized Average and rms Currents through Load and Semiconductor Components --
4.3.2.4. Simulation of an Ideal Chopper-Fed DC Series Motor --
4.4. Conclusion --
References --
5. Analysis of Controlled Rectifier Circuits --
5.1. Representation of a Sine Wave by Walsh Functions --
5.2. Conventional Analysis of Half-Wave Controlled Rectifier --
5.3. Walsh Domain Analysis of Half-Wave Controlled Rectifier --
5.3.1.Computational Algorithm --
5.4. Walsh Domain Analysis of Full-Wave Controlled Rectifier --
5.4.1. Single-Phase Full-Wave Controlled Rectifier --
5.4.2. Representation of the Load Voltage by Walsh Functions --
5.4.3. Determination of Normalized Average and rms Currents --
5.4.3.1. Exact Equations for Phase-Controlled Rectifier --
5.4.4.Computational Algorithm --
5.5. Conclusion --
References --
6. Analysis of Inverter Circuits --
6.1. Voltage Control of a Single-Phase Inverter --
6.1.1. Single-Pulse Modulation. Contents note continued: 6.1.1.1. Walsh Function Representation of Single-Pulse Modulation --
6.1.1.2.Computation of Normalized Average and rms Load Currents for Single--Pulse Modulation --
6.2. Analysis of an RL Load Fed from a Typical Three-Phase Inverter Line-to-Neutral Voltage --
6.3. Conclusion --
References.
Responsibility: Anish Deb, Suchismita Ghosh.

Abstract:

This text 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(r) 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.

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"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 Read more...

 
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    schema:description "Contents note continued: 4.3.2.3. Determination of Normalized Average and rms Currents through Load and Semiconductor Components -- 4.3.2.4. Simulation of an Ideal Chopper-Fed DC Series Motor -- 4.4. Conclusion -- References -- 5. Analysis of Controlled Rectifier Circuits -- 5.1. Representation of a Sine Wave by Walsh Functions -- 5.2. Conventional Analysis of Half-Wave Controlled Rectifier -- 5.3. Walsh Domain Analysis of Half-Wave Controlled Rectifier -- 5.3.1.Computational Algorithm -- 5.4. Walsh Domain Analysis of Full-Wave Controlled Rectifier -- 5.4.1. Single-Phase Full-Wave Controlled Rectifier -- 5.4.2. Representation of the Load Voltage by Walsh Functions -- 5.4.3. Determination of Normalized Average and rms Currents -- 5.4.3.1. Exact Equations for Phase-Controlled Rectifier -- 5.4.4.Computational Algorithm -- 5.5. Conclusion -- References -- 6. Analysis of Inverter Circuits -- 6.1. Voltage Control of a Single-Phase Inverter -- 6.1.1. Single-Pulse Modulation."@en ;
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