Cover image for Pulsewidth modulated DC-to-DC power conversion : circuits, dynamics, and control designs
Title:
Pulsewidth modulated DC-to-DC power conversion : circuits, dynamics, and control designs
Personal Author:
Physical Description:
xix, 639 pages : illustrations ; 24 cm.
ISBN:
9781118180631
General Note:
"Published simultaneously in Canada"--Title page verso.

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30000010334948 TK7872.C8 C463 2013 Open Access Book Book
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Summary

Summary

This is the definitive reference for anyone involved in pulsewidth modulated DC-to-DC power conversion

Pulsewidth Modulated DC-to-DC Power Conversion: Circuits, Dynamics, and Control Designs provides engineers, researchers, and students in the power electronics field with comprehensive and complete guidance to understanding pulsewidth modulated (PWM) DC-to-DC power converters. Presented in three parts, the book addresses the circuitry and operation of PWM DC-to-DC converters and their dynamic characteristics, along with in-depth discussions of control design of PWM DC-to-DC converters. Topics include:

Basics of DC-to-DC power conversion DC-to-DC converter circuits Dynamic modeling Power stage dynamics Closed-loop performance Voltage mode control and feedback design Current mode control and compensation design Sampling effects of current mode control

Featuring fully tested problems and simulation examples as well as downloadable lecture slides and ready-to-run PSpice programs, Pulsewidth Modulated DC-to-DC Power Conversion is an ideal reference book for professional engineers as well as graduate and undergraduate students.


Author Notes

Byungcho Choi is a professor in the School of Electrical Engineering and Computer Science at Kyungpook National University, Daegu, Korea. He received his PhD from Virginia Polytechnic Institute and State University, Blacksburg, Virginia. Over the past twenty years, Dr. Choi has been teaching and doing research in the area of PWM DC-to-DC power conversion.


Table of Contents

Prefacep. vii
Part I Circuits for Dc-To-Dc Power Conversion
1 PWM Dc-to-Dc Power Conversionp. 3
1.1 PWM Dc-to-Dc Power Conversionp. 4
1.1.1 Dc-to-Dc Power Conversionp. 4
1.1.2 PWM Techniquep. 6
1.2 Dc-to-Dc Power Conversion Systemp. 7
1.3 Features and Issues of PWM Dc-to-Dc Converterp. 8
1.4 Chapter Highlightsp. 11
Referencesp. 12
2 Power Stage Componentsp. 13
2.1 Semiconductor Switchesp. 13
2.1.1 MOSFETsp. 14
2.1.2 Diodesp. 15
2.1.3 MOSFET-Diode Pair as SPDT Switchp. 16
2.2 Energy Storage and Transfer Devicesp. 17
2.2.1 Inductorsp. 18
2.2.2 Capacitorsp. 26
2.2.3 Transformersp. 31
2.3 Switching Circuits in Practicep. 39
2.3.1 Solenoid Drive Circuitsp. 39
2.3.2 Capacitor Charging Circuitp. 45
2.4 Summaryp. 50
Referencesp. 51
Problemsp. 52
3 Buck Converterp. 71
3.1 Ideal Step-Down Dc-to-Dc Power Conversionp. 72
3.2 Buck Converter: Step-Down Dc-to-Dc Converterp. 74
3.2.1 Evolution to Buck Converterp. 74
3.2.2 Frequency-Domain Analysisp. 75
3.3 Buck Converter in Start-Up Transientp. 78
3.3.1 Piecewise Linear Analysisp. 78
3.3.2 Start-up Responsep. 78
3.4 Buck Converter in Steady Statep. 80
3.4.1 Circuit Analysis Techniquesp. 80
3.4.2 Steady-State Analysisp. 82
3.4.3 Estimation of Output Voltage Ripplep. 84
3.5 Buck Converter in Discontinuous Conduction Modep. 89
3.5.1 Origin of Discontinuous Conduction Mode Operationp. 90
3.5.2 Conditions for DCM Operationp. 92
3.5.3 Steady-State Operation in DCMp. 94
3.6 Closed-Loop Control of Buck Converterp. 99
3.6.1 Closed-Loop Feedback Controllerp. 99
3.6.2 Responses of Closed-Loop Controlled Buck Converterp. 103
3.7 Summaryp. 109
Referencesp. 110
Problemsp. 110
4 Dc-to-Dc Power Converter Circuitsp. 123
4.1 Boost Converterp. 124
4.1.1 Evolution to Boost Converterp. 124
4.1.2 Steady-State Analysis in CCMp. 126
4.1.3 Steady-State Analysis in DCMp. 130
4.1.4 Effects of Parasitic Resistance on Voltage Gainp. 132
4.2 Buck/Boost Converterp. 135
4.2.1 Evolution to Buck/Boost Converterp. 137
4.2.2 Steady-State Analysis in CCMp. 137
4.2.3 Steady-State Analysis in DCMp. 141
4.3 Structure and Voltage Gain of Three Basic Convertersp. 143
4.4 Flyback Converter: Transformer-Isolated Buck/Boost Converterp. 145
4.4.1 Evolution to Flyback Converterp. 145
4.4.2 Steady-State Analysis in CCMp. 147
4.4.3 Steady-State Analysis in DCMp. 150
4.5 Bridge-Type Buck-Derived Isolated Dc-to-Dc Convertersp. 153
4.5.1 Switch Network and Multi-Winding Transformerp. 154
4.5.2 Full-Bridge Converterp. 157
4.5.3 Half-Bridge Converterp. 163
4.5.4 Push-Pull Converterp. 163
4.6 Forward Convertersp. 167
4.6.1 Basic Operational Principlesp. 167
4.6.2 Tertiary-Winding Reset Forward Converterp. 172
4.6.3 Two-Switch Forward Converterp. 177
4.7 Summaryp. 177
Referencesp. 180
Problemsp. 181
Part II Modeling, Dynamics, and Design of PWM Dc-To-Dc Converters
5 Modeling PWM Dc-to-Dc Convertersp. 199
5.1 Overview of PWM Converter Modelingp. 200
5.2 Averaging Power Stage Dynamicsp. 202
5.2.1 State-Space Averagingp. 204
5.2.2 Circuit Averagingp. 210
5.2.3 Generalization of Circuit Averaging Techniquep. 219
5.2.4 Circuit Averaging and State-Space Averagingp. 220
5.3 Linearizing Averaged Power Stage Dynamicsp. 221
5.3.1 Linearization of Nonlinear Function and Small-Signal Modelp. 221
5.3.2 Small-Signal Model for PWM Switch-PWM Switch Modelp. 223
5.3.3 Small-Signal Model of Converter Power Stagep. 226
5.4 Frequency Response of Converter Power Stagep. 227
5.4.1 Sinusoidal Response of Power Stagep. 228
5.4.2 Frequency Response and s-Domain Small-Signal Model of Power Stagep. 230
5.5 Small-Signal Gain of PWM Blockp. 232
5.6 Small-Signal Model for PWM Dc-to-Dc Convertersp. 234
5.6.1 Voltage Feedback Circuitp. 234
5.6.2 Small-Signal Model for PWM Convertersp. 236
5.7 Summaryp. 238
Referencesp. 239
Problemsp. 239
6 Power Stage Transfer Functionsp. 245
6.1 Bode Plot for Transfer Functionsp. 245
6.1.1 Basic Definitionsp. 246
6.1.2 Bode Plots for Multiplication Factorsp. 248
6.1.3 Bode Plot Construction for Transfer Functionsp. 257
6.1.4 Identification of Transfer Function from Bode Plotp. 262
6.2 Power Stage Transfer Functions of Buck Converterp. 264
6.2.1 Input-to-Output Transfer Functionp. 265
6.2.2 Duty Ratio-to-Output Transfer Functionp. 268
6.2.3 Load Current-to-Output Transfer Functionp. 270
6.3 Power Stage Transfer Functions of Boost Converterp. 271
6.3.1 Input-to-Output Transfer Functionp. 272
6.3.2 Duty Ratio-to-Output Transfer Function and RHP Zerop. 273
6.3.3 Load Current-to-Output Transfer Functionp. 277
6.3.4 Physical Origin of RHP Zerop. 278
6.4 Power Stage Transfer Functions of Buck/Boost Converterp. 281
6.5 Empirical Methods for Small-Signal Analysisp. 283
6.6 Summaryp. 286
Referencesp. 287
Problemsp. 289
7 Dynamic Performance of PWM Dc-to-Dc Convertersp. 297
7.1 Stabilityp. 298
7.2 Frequency-Domain Performance Criteriap. 301
7.2.1 Loop Gainp. 301
7.2.2 Audio-Susceptibilityp. 302
7.2.3 Output Impedancep. 303
7.3 Time-Domain Performance Criteriap. 304
7.3.1 Step Load Responsep. 305
7.3.2 Step Input Responsep. 306
7.4 Stability of Dc-to-Dc Convertersp. 307
7.4.1 Stability of Linear Time-Invariant Systemsp. 307
7.4.2 Small-Signal Stability of Dc-to-Dc Convertersp. 307
7.5 Nyquist Criterionp. 308
7.6 Relative Stability: Gain Margin and Phase Marginp. 315
7.7 Summaryp. 322
Referencesp. 323
Problemsp. 324
8 Closed-Loop Performance and Feedback Compensationp. 331
8.1 Asymptotic Analysis Methodp. 332
8.1.1 Concept of Asymptotic Analysis Methodp. 332
8.1.2 Examples of Asymptotic Analysis Methodp. 334
8.2 Frequency-Domain Performancep. 339
8.2.1 Audio-Susceptibilityp. 340
8.2.2 Output Impedancep. 343
8.3 Voltage Feedback Compensation and Loop Gainp. 344
8.3.1 Problems of Single Integratorp. 345
8.3.2 Voltage Feedback Compensationp. 347
8.4 Compensation Design and Closed-Loop Performancep. 349
8.4.1 Voltage Feedback Compensation and Loop Gainp. 349
8.4.2 Feedback Compensation Design Guidelinesp. 352
8.4.3 Voltage Feedback Compensation and Closed-Loop Performancep. 353
8.4.4 Phase Margin and Closed-Loop Performancep. 367
8.4.5 Compensation Zeros and Speed of Transient Responsesp. 372
8.4.6 Step Load Responsep. 374
8.4.7 Non-Minimum Phase System Case: Boost and Buck/Boost Convertersp. 379
8.5 Summaryp. 383
Referencesp. 385
Problemsp. 385
9 Practical Considerations in Modeling, Analysis, and Design of PWM Convertersp. 407
9.1 Generalization of PWM Converter Modelp. 408
9.1.1 Converter Modeling with Parasitic Resistancesp. 408
9.1.2 Modeling and Analysis of PWM Converters in DCM Operationp. 415
9.1.3 Modeling of Isolated PWM Convertersp. 425
9.2 Design and Analysis of Dc-to-Dc Converters with Practical Source Systemp. 431
9.2.1 Audio-Susceptibility Analysisp. 432
9.2.2 Stability Analysisp. 434
9.2.3 Input Impedance of Regulated Dc-to-Dc Converterp. 441
9.2.4 Origin of Source-Impedance Induced Instabilityp. 446
9.2.5 Control Design with Source Impedancep. 447
9.2.6 Impacts of Source Impedance on Loop Gain and Output Impedancep. 448
9.3 Consideration for Non-Resistive Loadp. 449
9.4 Summaryp. 452
Referencesp. 453
Problemsp. 454
Part III Current Mode Control
10 Current Mode Control - Functional Basics and Classical Analysisp. 465
10.1 Current Mode Control Basicsp. 466
10.1.1 Evolution to Peak Current Mode Controlp. 466
10.1.2 Benefits and Issues of Peak Current Mode Controlp. 475
10.1.3 Average Current Mode Control and Charge Controlp. 476
10.2 Classical Analysis and Control Design Proceduresp. 479
10.2.1 Small-Signal Model for Peak Current Mode Controlp. 480
10.2.2 Loop Gain Analysisp. 486
10.2.3 Stability Analysisp. 489
10.2.4 Voltage Feedback Compensationp. 492
10.2.5 Control Design Proceduresp. 497
10.2.6 Analysis of Converter Dynamics in DCMp. 507
10.3 Closed-Loop Performance of Peak Current Mode Controlp. 509
10.3.1 Audio-Susceptibility Analysisp. 511
10.3.2 Output Impedance Analysisp. 516
10.3.3 Step Load Response Analysisp. 520
10.4 Current Mode Control for Boost and Buck/Boost Convertersp. 532
10.4.1 Stability Analysis and Control Designp. 532
10.4.2 Loop Gain Analysisp. 543
10.5 Summaryp. 548
Referencesp. 550
Problemsp. 550
11 Current Mode Control - Sampling Effects and New Control Design Proceduresp. 559
11.1 Sampling Effects of Current Mode Controlp. 560
11.1.1 Origin and Consequence of Sampling Effectsp. 561
11.1.2 Modeling Methodology for Sampling Effectsp. 564
11.1.3 Feedforward Gainsp. 564
11.1.4 Complete s-Domain Model for Current Mode Controlp. 565
11.1.5 Two Prevalent s-Domain Models for Current Mode Controlp. 565
11.2 Expressions for s-Domain Model for Current Mode Controlp. 568
11.2.1 Modified Small-Signal Modelp. 568
11.2.2 Modulator Gain F* mp. 570
11.2.3 H e (s): s-Domain Representation of Sampling Effectsp. 571
11.2.4 Feedforward Gainsp. 580
11.3 New Control Design Procedures for Current Mode Control 5p. 84
11.3.1 New Power Stage Modelp. 584
11.3.2 Control-to-Output Transfer Function with Current Loop Closedp. 586
11.3.3 Control Design Proceduresp. 592
11.3.4 Correlation between New and Classical Design Proceduresp. 606
11.4 Off-Line Flyback Converter with Optocoupler-Isolated Current Mode Controlp. 612
11.4.1 Off-Line Power Suppliesp. 612
11.4.2 Current Mode Control for Flyback Converter with Optocoupler-Isolated Feedbackp. 613
11.5 Summaryp. 628
Referencesp. 629
Problemsp. 629
Indexp. 633