Origin of Power Converters

Origin of Power Converters
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A comprehensive guide to approaches to decoding, synthesizing and modeling pulse width modulation (PWM) converters Origin of Power Converters explores the original converter and provides a systematic examination of the development and modeling of power converters based on decoding and synthesizing approaches. The authors—noted experts on the topic—present an introduction to the origins of the converter and detail the fundamentals related to power the converter’s evolution. They cover a range of converter synthesis approaches, synthesis of multi-stage/multi-level converters, extension of hard-switching converters to soft-switching ones, and determination of switch-voltage stresses in the converters. In later chapters, this comprehensive resource reviews conventional two-port network theory and the state-space averaged (SSA) modeling approach, from which systematic modeling approaches are based on the graft switch technique. In addition, the book reviews the converter layer scheme and some fundamental circuit theories. This important book: • Contains a review of several typical transfer codes, such as step-down, step-up, step-up&-down, and ± step-up&-down • Describes the syntheses of pulse width modulation (PWM) converters such as voltage-fed z-source, current-fed z-source, quasi z-source, switched capacitor, and switched inductor converters • Presents two application examples based on previously proposed modeling approaches Written for academic researchers, graduate students, and seniors in power electronics, Origin of Power Converters provides a comprehensive understanding of the evolution of the converter and its applications.

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Tsai-Fu Wu. Origin of Power Converters

Table of Contents

List of Tables

List of Illustrations

Guide

Pages

Origin of Power Converters. Decoding, Synthesizing, and Modeling

Preface

Acknowledgments

About the Authors

1 Introduction

1.1 Power Processing Systems

1.2 Non‐PWM Converters Versus PWM Converters

1.2.1 Non‐PWM Converters

1.2.2 PWM Power Converters

1.3 Well‐Known PWM Converters

1.4 Approaches to Converter Development

1.5 Evolution

1.6 About the Text

1.6.1 Part I: Decoding and Synthesizing

1.6.2 Part II: Modeling and Applications

Further Reading

2 Discovery of Original Converter

2.1 Creation of Original Converter

2.1.1 Source–Load Approach

2.1.2 Proton–Neutron–Meson Analogy

2.1.3 Resonance Approach

2.2 Fundamental PWM Converters

2.2.1 Voltage Transfer Ratios

2.2.2 CCM Operation

2.2.3 DCM Operation

2.2.4 Inverse Operation

2.3 Duality

Further Reading

3 Fundamentals

3.1 DC Voltage and Current Offsetting

3.1.1 DC Voltage Offsetting

3.1.2 DC Current Offsetting

3.2 Capacitor and Inductor Splitting

3.3 DC‐Voltage Blocking and Pulsating‐Voltage Filtering

3.4 Magnetic Coupling

3.5 DC Transformer

3.6 Switch Grafting

3.7 Diode Grafting

3.8 Layer Scheme

Further Reading

4 Decoding Process

4.1 Transfer Ratios (Codes)

4.2 Transfer Code Configurations

4.2.1 Cascade Configuration

4.2.2 Feedback Configuration

4.2.3 Feedforward Configuration

4.2.4 Parallel Configuration

4.3 Decoding Approaches

4.3.1 Factorization

4.3.2 Long Division

4.3.3 Cross Multiplication

4.4 Decoding of Transfer Codes with Multivariables

4.5 Decoding with Component‐Interconnected Expression

Further Reading

5 Synthesizing Process with Graft Scheme

5.1 Cell Approaches

5.1.1 P‐Cell and N‐Cell

5.1.2 Tee Canonical Cell and Pi Canonical Cell

5.1.3 Switched‐Capacitor Cell and Switched‐Inductor Cell

5.1.4 Inductor–Capacitor Component Cells

5.2 Converter Grafting Scheme

5.2.1 Synchronous Switch Operation

5.2.2 Grafting Active Switches

5.2.3 Grafting Passive Switches

5.3 Illustration of Grafting Converters

5.3.1 Grafting the Well‐Known PWM Converters

5.3.1.1 Graft Boost on Buck

5.3.1.2 Graft Buck on Boost

5.3.1.3 Graft Buck on Buck–Boost

5.3.1.4 Graft Boost on Boost–Buck

5.3.1.5 Buck in Parallel with Buck–Boost

5.3.1.6 Grafting Buck on Buck to Achieve High Step‐Down Voltage Conversion

5.3.1.7 Grafting Boost on Boost to Achieve High Step‐up Voltage Conversion

5.3.1.8 Grafting Boost (CCM) on Buck (DCM)

5.3.1.9 Cascode Complementary Zeta with Buck

5.3.2 Grafting Various Types of Converters

5.3.2.1 Grafting Half‐Bridge Resonant Inverter on Dither Boost Converter

5.3.2.2 Grafting Half‐Bridge Resonant Inverter on Bidirectional Flyback Converter

5.3.2.3 Grafting Class‐E Converter on Boost Converter

5.3.3 Integrating Converters with Active and Passive Grafted Switches

5.3.3.1 Grafting Buck on Boost with Grafted Diode

5.3.3.2 Grafting Half‐Bridge Inverter on Interleaved Boost Converters in DCM

5.3.3.3 Grafting N‐Converters with TGS

5.3.3.4 Grafting N‐Converters with ΠGS

Further Reading

6 Synthesizing Process with Layer Scheme

6.1 Converter Layering Scheme

6.2 Illustration of Layering Converters

6.2.1 Buck Family

6.2.2 Boost Family

6.2.3 Other Converter Examples

6.3 Discussion

6.3.1 Deduction from Ćuk to Buck–Boost

6.3.2 Deduction from Sepic to Buck–Boost

6.3.3 Deduction from Zeta to Buck–Boost

6.3.4 Deduction from Sepic to Zeta

Further Reading

7 Converter Derivation with the Fundamentals

7.1 Derivation of Buck Converter

7.1.1 Synthesizing with Buck–Boost Converter

7.1.2 Synthesizing with Ćuk Converter

7.2 Derivation of z‐Source Converters

7.2.1 Voltage‐Fed z‐Source Converters

7.2.1.1 Synthesizing with Sepic Converter

7.2.1.2 Synthesizing with Zeta Converter

7.2.2 Current‐Fed z‐Source Converters

7.2.2.1 Synthesizing with SEPIC Converter

7.2.2.2 Synthesizing with Zeta Converter

7.2.3 Quasi‐z‐Source Converter

7.2.3.1 Synthesizing with Sepic Converter

7.2.3.2 Synthesizing with Zeta Converter

7.3 Derivation of Converters with Switched Inductor or Switched Capacitor

7.3.1 Switched‐Inductor Converters

7.3.1.1 High Step‐Down Converter with Transfer Code D/(2 − D)

7.3.1.2 High Step‐Down Converter with Transfer Code D/(2(1 − D))

7.3.1.2.1 Synthesis with SEPIC and I‐Ćuk

7.3.1.2.2 Synthesis with Zeta and I‐Buck–Boost

7.3.1.2.3 Synthesis with SEPIC and I‐Buck–Boost

7.3.1.2.4 Synthesis with Zeta and I‐Ćuk

7.3.2 Switched‐Capacitor Converters

7.3.2.1 High Step‐Up Converter with Transfer Code (1 + D)/(1 − D)

7.3.2.2 High Step‐Up Converter with Transfer Code 2D/(1 − D)

7.3.2.3 High Step‐Up Converter with Transfer Code D/(1 − 2D)

7.4 Syntheses of Desired Transfer Codes

7.4.1 Synthesis of Transfer Code: D2/(D2 − 3D + 2)

7.4.1.1 Synthesizing with Buck–Boost Converter

7.4.1.2 Synthesizing with Zeta Converter

7.4.1.3 Synthesizing with Ćuk Converter

7.4.2 Synthesizing Converters with the Fundamentals

7.4.2.1 DC Voltage and DC Current Offsetting

7.4.2.2 Inductor and Capacitor Splitting

7.4.2.3 DC Voltage Blocking and Filtering

7.4.2.4 Magnetic Coupling

7.4.2.5 DC Transformer

7.4.2.6 Switch and Diode Grafting

7.4.2.7 Layer Technique

Further Reading

8 Synthesis of Multistage and Multilevel Converters

8.1 Review of the Original Converter and Its Variations of Transfer Code

8.2 Syntheses of Single‐Phase Converters

8.3 Syntheses of Three‐Phase Converters

8.4 Syntheses of Multilevel Converters

8.5 L–C Networks

Further Reading

9 Synthesis of Soft‐Switching PWM Converters

9.1 Soft‐Switching Cells

9.1.1 Passive Lossless Soft‐Switching Cells

9.1.1.1 Near‐Zero‐Current Switching Mechanism

9.1.1.2 Near‐Zero‐Voltage Switching Mechanism

9.1.2 Active Lossless Soft‐Switching Cells

9.1.2.1 Zero‐Voltage Switching Mechanism

9.1.2.2 Zero‐Current Switching Mechanism

9.2 Synthesis of Soft‐Switching PWM Converters with Graft Scheme

9.2.1 Generation of Passive Soft‐Switching PWM Converters

9.2.2 Generation of Active Soft‐Switching PWM Converters

9.3 Synthesis of Soft‐Switching PWM Converters with Layer Scheme

9.3.1 Generation of Passive Soft‐Switching PWM Converters

9.3.2 Generation of Active Soft‐Switching PWM Converters

9.4 Discussion

Further Reading

10 Determination of Switch‐Voltage Stresses

10.1 Switch‐Voltage Stress of the Original Converter

10.2 Switch‐Voltage Stresses of the Fundamental Converters

10.2.1 The Six Well‐Known PWM Converters

10.2.1.1 Boost Converter

10.2.1.2 Buck–Boost Converter

10.2.1.3 Ćuk, Sepic, and Zeta Converters

10.2.2 z‐Source Converters

10.2.2.1 Voltage‐Fed z‐Source Converter

10.2.2.2 Current‐Fed z‐Source Converter

10.2.2.3 Quasi‐z‐Source Converter

10.3 Switch‐Voltage Stresses of Non‐Fundamental Converters

10.3.1 High Step‐Down Switched‐Inductor Converter

10.3.2 High Step‐Down/Step‐Up Switched‐Inductor Converter

10.3.3 Compound Step‐Down/Step‐Up Switched‐Capacitor Converter

10.3.4 High Step‐Down Converter with Transfer Ratio of D2

10.3.5 High Step‐Up Converter with Transfer Ratio of 1/(1 −D)2

Further Reading

11 Discussion and Conclusion

11.1 Will Identical Transfer Code Yield the Same Converter Topology?

11.2 Topological Duality Versus Circuital Duality

11.3 Graft and Layer Schemes for Synthesizing New Fundamental Converters

11.3.1 Synthesis of Buck–Boost Converter

11.3.2 Synthesis of Boost–Buck (Ćuk) Converter

11.3.3 Synthesis of Buck–Boost–Buck (Zeta) Converter

11.3.4 Synthesis of Boost–Buck–Boost (Sepic) Converter

11.3.5 Synthesis of Buck‐Family Converters with Layer Scheme

11.3.6 Synthesis of Boost‐Family Converters with Layer Scheme

11.4 Analogy of Power Converters to DNA

11.4.1 Replication

11.4.2 Mutation

11.5 Conclusions

Notes:

Further Reading

12 Modeling of PWM DC/DC Converters

12.1 Generic Modeling of the Original Converter

12.2 Series‐Shunt and Shunt‐Series Pairs

12.3 Two‐Port Network

12.4 Small‐Signal Modeling of the Converters Based on Layer Scheme

12.5 Quasi‐Resonant Converters

Further Reading

13 Modeling of PWM DC/DC Converters Using the Graft Scheme

13.1 Cascade Family

13.2 Small‐Signal Models of Buck‐Boost and Ćuk Converters Operated in CCM

13.2.1 Buck‐Boost Converter

13.2.2 Boost‐Buck Converter

13.3 Small‐Signal Models of Zeta and Sepic Operated in CCM

13.3.1 Zeta Converter

13.3.2 Sepic Converter

Further Reading

14 Modeling of Isolated Single‐Stage Converters with High Power Factor and Fast Regulation

14.1 Generation of Single‐Stage Converters with High Power Factor and Fast Regulation

14.2 Small‐Signal Models of General Converter Forms Operated in CCM/DCM

14.3 An Illustration Example

Further Reading

15 Analysis and Design of an Isolated Single‐Stage Converter Achieving Power Factor Correction and Fast Regulation

15.1 Derivation of the Single‐Stage Converter

15.1.1 Selection of Individual Semi‐Stages

15.1.2 Derivation of the Discussed Isolated Single‐Stage Converter

15.2 Analysis of the Isolated Single‐Stage Converter Operated in DCM + DCM

15.2.1 Buck‐Boost Power Factor Corrector

15.2.2 Flyback Regulator

15.3 Design of a Peak Current Mode Controller for the ISSC

15.4 Practical Consideration and Design Procedure. 15.4.1 Component Stress

15.4.2 Snubber Circuit

15.4.3 Design Procedure

15.5 Hardware Measurements

15.6 Design of an H∞ Robust Controller for the ISSC. 15.6.1 H∞ Control

15.6.2 An Illustration Example of Robust Control and Hardware Measurements

Further Reading

Index. a

b

c

d

e

f

g

h

i

j

k

l

m

n

o

p

q

r

s

t

u

v

w

z

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Отрывок из книги

Tsai‐Fu Wu

National Tsing Hua University, Taiwan, ROC

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Each PWM converter has at least an inductor. With a coupled inductor, the converter can be modified to a new version. Figure 1.15 shows four PWM converters with coupled inductors, and they are derived from buck, boost, Ćuk, and buck‐flyback converters. In the converters shown in Figure 1.15a and b, they just simply introduce a secondary winding into the converter itself and place at a proper path where the magnetization and demagnetization of the inductor satisfies the volt‐second balance principle. Figure 1.15c shows the Ćuk converter in the form with a coupled inductor. Originally, the Ćuk converter has two separate inductors. Analyzing the operation of the converter will realize that the two inductors can be coupled with each other. Other examples are sepic and Zeta converters, of which there are two inductors in each converter and they can be coupled and wound on the same core. A converter with coupled inductors will reduce one degree of dynamic order. Can all of converters with two or more inductors be constructed with coupled inductors? How to place a secondary winding in a proper path in the converter is another issue, which needs to discuss further.

Figure 1.15 PWM converters with coupled inductors: (a) buck type, (b) boost type, (c) Ćuk type, and (d) buck‐flyback type.

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