Pulsewidth Modulated DC-to-DC Power Conversion (eBook, ePUB)
Circuits, Dynamics, and Control Designs
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Pulsewidth Modulated DC-to-DC Power Conversion (eBook, ePUB)
Circuits, Dynamics, and Control Designs
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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…mehr
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- Produktdetails
- Verlag: John Wiley & Sons
- Seitenzahl: 664
- Erscheinungstermin: 30. Juli 2013
- Englisch
- ISBN-13: 9781118753576
- Artikelnr.: 39287502
- Verlag: John Wiley & Sons
- Seitenzahl: 664
- Erscheinungstermin: 30. Juli 2013
- Englisch
- ISBN-13: 9781118753576
- Artikelnr.: 39287502
- Herstellerkennzeichnung Die Herstellerinformationen sind derzeit nicht verfügbar.
Power Conversion 3 1.1 Description of PWM Dc-to-dc Power Conversion 4 1.2
Dc-to-dc Power Conversion System 7 1.3 Features and Issues of PWM Dc-to-dc
Converter 8 1.4 Chapter Highlights 10 References 12 2 Power Stage
Components 13 2.1 Semiconductor Switches 13 2.2 Energy Storage and Transfer
Devices 17 2.3 Switching Circuits in Practice 38 2.4 Summary 50 References
51 Problems 51 3 Buck Converter 69 3.1 Ideal Step Down Dc-to-dc Power
Conversion 70 3.2 Buck Converter: Step Down Dc-to-dc Converter 72 3.3 Buck
Converter in Start Up Transient 76 3.4 Buck Converter in Steady State 78
3.4.1 Circuit Analysis Techniques 78 3.5 Buck Converter in Discontinuous
Conduction Mode 87 3.6 Closed-loop Control of Buck Converter 97 3.7 Summary
107 References 108 Problems 108 4 Dc-to-dc Power Converter Circuits 123 4.1
Boost Converter 124 4.2 Buck/Boost Converter 135 4.3 Structure and Voltage
Gain of Three Basic Converters 144 4.4 Flyback Converter: Transformer
Isolated Buck/Boost Converter 145 4.5 Bridge-Type Buck Derived Isolated
Dc-to-dc Converters 154 4.6 Forward Converters 167 4.7 Summary 180
References 181 Problems 181 PART II MODELING, DYNAMICS, AND DESIGN OF PWM
DC-TO-DC CONVERTERS 5 Modeling PWM Dc-to-dc Converters 201 5.1 Overview of
PWM Converter Modeling 202 5.2 Averaging Power Stage Dynamics 204 5.3
Linearizing Averaged Power Stage Dynamics 223 5.4 Frequency Response of
Converter Power Stage 230 5.5 Small signal Gain of PWM Block 235 5.6 Small
signal Model for PWM Dc-to-dc Converters 236 5.7 Summary 240 References 241
Problems 241 6 Power Stage Transfer Functions 247 6.1 Bode Plot for
Transfer Functions 247 6.2 Power Stage Transfer Functions of Buck Converter
266 6.3 Power Stage Transfer Functions of Boost Converter 274 6.4 Power
Stage Transfer Functions of Buck/Boost Converter 284 6.5 Empirical Methods
in Small signal Analysis 286 6.6 Summary 289 References 289 Problems 291 7
Dynamic Performance of PWM Dc-to-dc Converters 299 7.1 Stability 300 7.2
Frequency-Domain Performance Criteria 303 7.3 Time-Domain Performance
Criteria 307 7.4 Stability of Dc-to-dc Converters 309 7.5 Nyquist Criterion
311 7.6 Relative Stability: Gain Margin and Phase Margin 318 7.7 Summary
325 References 325 Problems 326 8 Closed-loop Performance and Feedback
Compensation 333 8.1 Asymptotic Analysis Method 334 8.2 Frequency-Domain
Performance 341 8.3 Voltage Feedback Compensation and Loop Gain 346 8.4
Compensation Design and Closed-loop Performance 351 Performance 355 8.5
Summary 385 References 387 Problems 387 9 Practical Considerations in
Modeling, Analysis, and Design of PWM Converters 409 9.1 Generalization of
PWM Converter Model 410 9.2 Design and Analysis of Dc-to-Dc Converters with
Practical Source System 433 9.3 Consideration for Non-Resistive Load 452
9.4 Summary 453 References 456 Problems 456 PART III CURRENT MODE CONTROL
10 Current Mode Control - Functional Basics and Classical Analysis 467 10.1
Current Mode Control Basics 469 10.2 Classical Analysis and Control Design
Procedures 480 10.3 Closed-loop Performance of Peak Current Mode Control
511 10.4 Current Mode Control for Boost and Buck/Boost Converters 535 10.5
Summary 551 References 553 Problems 553 11 Current Mode Control - Sampling
Effects and New Control Design Procedures 561 11.1 Sampling Effects of
Current Mode Control 562 11.2 Expressions for s-Domain Model for Current
Mode Control 569 11.3 New Control Design Procedures for Current Mode
Control 586 11.4 Current Mode Control for Off-Line Flyback Converter with
Optocoupler-Isolated Feedback 615 11.5 Summary 630 References 633 Problems
633 Index 637 Preface vii PART I CIRCUITS FOR DC-TO-DC POWER CONVERTERS 1
PWM Dc-to-dc Power Conversion 3 1.1 Description of PWM Dc-to-dc Power
Conversion 4 1.1.1 Dc-to-dc Power Conversion 4 1.1.2 PWM Technique 6 1.2
Dc-to-dc Power Conversion System 7 1.3 Features and Issues of PWM Dc-to-dc
Converter 8 1.4 Chapter Highlights 10 References 12 2 Power Stage
Components 13 2.1 Semiconductor Switches 13 2.1.1 MOSFETs 14 2.1.2 Diodes
15 2.1.3 Simple Switching Circuit 16 2.2 Energy Storage and Transfer
Devices 17 2.2.1 Inductors 18 2.2.2 Capacitors 25 2.2.3 Transformers 31 2.3
Switching Circuits in Practice 38 2.3.1 Solenoid Drive Circuits 38 2.3.2
Capacitor Charging Circuit 44 2.4 Summary 50 References 51 Problems 51 3
Buck Converter 69 3.1 Ideal Step Down Dc-to-dc Power Conversion 70 3.2 Buck
Converter: Step Down Dc-to-dc Converter 72 3.2.1 Evolution to Buck
Converter 72 3.2.2 Frequency Domain Analysis 73 3.3 Buck Converter in Start
Up Transient 76 3.3.1 Piecewise Linear Analysis 76 3.3.2 Startup Response
76 3.4 Buck Converter in Steady State 78 3.4.1 Circuit Analysis Techniques
78 3.4.2 Steady State Analysis 80 3.4.3 Estimation of -output Voltage
Ripple 82 3.5 Buck Converter in Discontinuous Conduction Mode 87 3.5.1
Origin of Discontinuous Conduction Mode Operation 88 3.5.2 Conditions for
DCM Operation 90 3.5.3 Steady State Operation in DCM 92 3.6 Closed-loop
Control of Buck Converter 97 3.6.1 Closed-loop Feedback Controller 98 3.6.2
Responses of Closed-loop Controlled Buck Converter 102 3.7 Summary 107
References 108 Problems 108 4 Dc-to-dc Power Converter Circuits 123 4.1
Boost Converter 124 4.1.1 Evolution to Boost Converter 124 4.1.2 Steady
State Analysis in CCM 126 4.1.3 Steady State Analysis in DCM 130 4.1.4
Effects of Parasitic Resistance on Voltage Gain 132 4.2 Buck/Boost
Converter 135 4.2.1 Evolution to Buck/Boost Converter 135 4.2.2
Steady-state Analysis in CCM 138 4.2.3 Steady-state Analysis in DCM 141 4.3
Structure and Voltage Gain of Three Basic Converters 144 4.4 Flyback
Converter: Transformer Isolated Buck/Boost Converter 145 4.4.1 Evolution to
Flyback Converter 146 4.4.2 Steady-state Analysis in CCM 147 4.4.3
Steady-state Analysis in DCM 151 4.5 Bridge-Type Buck Derived Isolated
Dc-to-dc Converters 154 4.5.1 Switch Network and Multi Winding Transformer
155 4.5.2 Full-Bridge Converter 158 4.5.3 Half-Bridge Converter 163 4.5.4
Push-Pull Converter 167 4.6 Forward Converters 167 4.6.1 Basic Operational
Principles 167 4.6.2 Tertiary-Winding Reset Forward Converter 173 4.6.3
Two-Switch Forward Converter 177 4.7 Summary 180 References 181 Problems
181 PART II MODELING, DYNAMICS, AND DESIGN OF PWM DC-TO-DC CONVERTERS 5
Modeling PWM Dc-to-dc Converters 201 5.1 Overview of PWM Converter Modeling
202 5.2 Averaging Power Stage Dynamics 204 5.2.1 State-Space Averaging 206
5.2.2 Circuit Averaging 212 5.2.3 Generalization of Circuit Averaging
Technique 221 5.2.4 Circuit Averaging and State Space Averaging 222 5.3
Linearizing Averaged Power Stage Dynamics 223 5.3.1 Linearization of
Nonlinear Function and Small Signal Model 223 5.3.2 Small Signal Model for
PWM Switch: PWM Switch Model 225 5.3.3 Small Signal Model of Converter
Power Stage 227 5.4 Frequency Response of Converter Power Stage 230 5.4.1
Sinusoidal Response of Power Stage 230 5.4.2 Frequency Response and
s-Domain Small signal Power Stage Model 232 5.5 Small signal Gain of PWM
Block 235 5.6 Small signal Model for PWM Dc-to-dc Converters 236 5.6.1
Voltage Feedback Circuit 236 5.6.2 Small signal Model for PWM Converters
238 5.7 Summary 240 References 241 Problems 241 6 Power Stage Transfer
Functions 247 6.1 Bode Plot for Transfer Functions 247 6.1.1 Basic
Definitions 248 6.1.2 Bode Plots for Multiplication Factors 250 6.1.3 Bode
Plot Construction for Transfer Functions 259 6.1.4 Identification of
Transfer Function from Bode Plot 264 6.2 Power Stage Transfer Functions of
Buck Converter 266 6.2.1 Input-to-output Transfer Function 266 6.2.2 Duty
Ratio-to-output Transfer Function 270 6.2.3 Load Current-to-output Transfer
Function 273 6.3 Power Stage Transfer Functions of Boost Converter 274
6.3.1 Input-to-output Transfer Function 274 6.3.2 Duty Ratio-to-output
Transfer Function and RHP Zero 276 6.3.3 Load Current-to-output Transfer
Function 280 6.3.4 Physical Origin of RHP Zero 280 6.4 Power Stage Transfer
Functions of Buck/Boost Converter 284 6.5 Empirical Methods in Small signal
Analysis 286 6.6 Summary 289 References 289 Problems 291 7 Dynamic
Performance of PWM Dc-to-dc Converters 299 7.1 Stability 300 7.2
Frequency-Domain Performance Criteria 303 7.2.1 Loop Gain 303 7.2.2
Audio-Susceptibility 304 7.2.3 -output Impedance 305 7.3 Time-Domain
Performance Criteria 307 7.3.1 Step Load Response 307 7.3.2 Step Input
Response 308 7.4 Stability of Dc-to-dc Converters 309 7.4.1 Stability of
Linear Time-Invariant Systems 309 7.4.2 Small signal Stability of Dc-to-dc
Converters 310 7.5 Nyquist Criterion 311 7.6 Relative Stability: Gain
Margin and Phase Margin 318 7.7 Summary 325 References 325 Problems 326 8
Closed-loop Performance and Feedback Compensation 333 8.1 Asymptotic
Analysis Method 334 8.1.1 Concept of Asymptotic Analysis Method 334 8.1.2
Examples of Asymptotic Analysis Method 336 8.2 Frequency-Domain Performance
341 8.2.1 Audio-Susceptibility 342 8.2.2 -output Impedance 345 8.3 Voltage
Feedback Compensation and Loop Gain 346 8.3.1 Problems of Single Integrator
347 8.3.2 Voltage Feedback Compensation Structure 349 8.3.3 Circuit
Implementation of Voltage Feedback Compensation 351 8.4 Compensation Design
and Closed-loop Performance 351 8.4.1 Voltage Feedback Compensation and
Loop Gain 352 8.4.2 Feedback Compensation Design Guidelines 354 8.4.3
Voltage Feedback Compensation and Closed-loop Performance 355 8.4.4 Phase
Margin and Closed-loop Performance 369 8.4.5 Compensation Zero and Speed of
Transient Responses 374 8.4.6 Step Load Response 378 8.4.7 Non-Minimum
Phase System Case: Boost and Buck/boost Converters 380 8.5 Summary 385
References 387 Problems 387 9 Practical Considerations in Modeling,
Analysis, and Design of PWM Converters 409 9.1 Generalization of PWM
Converter Model 410 9.1.1 Converter Modeling with Parasitic Resistances 410
9.1.2 Modeling and Analysis of PWM Converters in DCM Operation 417 9.1.3
Modeling of Isolated PWM Converters 427 9.2 Design and Analysis of Dc-to-Dc
Converters with Practical Source System 433 9.2.1 Audio-Susceptibility
Analysis 435 9.2.2 Stability Analysis 436 9.2.3 Input Impedance of
Regulated Dc-to-Dc Converter 443 9.2.4 Origin of Instability 448 9.2.5
Control Design with Source Impedance 450 9.2.6 Impacts of Source Impedance
on Loop Gain and -output Impedance 450 9.3 Consideration for Non-Resistive
Load 452 9.4 Summary 453 References 456 Problems 456 PART III CURRENT MODE
CONTROL 10 Current Mode Control - Functional Basics and Classical Analysis
467 10.1 Current Mode Control Basics 469 10.1.1 Evolution to Peak Current
Mode Control 469 10.1.2 Benefits and Issues of Peak Current Mode Control
476 10.1.3 Average Current Mode Control and Charge Control 478 10.2
Classical Analysis and Control Design Procedures 480 10.2.1 Small signal
Model for Peak Current Mode Control 482 10.2.2 Loop Gain Analysis 488
10.2.3 Stability Analysis 491 10.2.4 Voltage Feedback Compensation 494
10.2.5 Control Design Procedures 499 10.2.6 Analysis of Converter Dynamics
in DCM 508 10.3 Closed-loop Performance of Peak Current Mode Control 511
10.3.1 Audio-Susceptibility Analysis 512 10.3.2 -output Impedance Analysis
519 10.3.3 Step Load Response Analysis 523 10.4 Current Mode Control for
Boost and Buck/Boost Converters 535 10.4.1 Stability Analysis and Control
Design 535 10.4.2 Loop Gain Analysis 546 10.5 Summary 551 References 553
Problems 553 11 Current Mode Control - Sampling Effects and New Control
Design Procedures 561 11.1 Sampling Effects of Current Mode Control 562
11.1.1 Origin and Consequence of Sampling Effects 562 11.1.2 Modeling
Methodology for Sampling Effects 565 11.1.3 Feedforward Gains 566 11.1.4
Complete s-Domain Model for Current Mode Control 567 11.1.5 Two Prevalent
s-Domain Models for Current Mode Control 567 11.2 Expressions for s-Domain
Model for Current Mode Control 569 11.2.1 Modified Small signal Model 570
11.2.2 Modulator Gain F*m 571 11.2.3 He(s): s-Domain Representation of
Sampling Effects 572 11.2.4 Feedforward Gains 582 11.3 New Control Design
Procedures for Current Mode Control 586 11.3.1 New Power Stage Model 586
11.3.2 Control-to-output Transfer Function with Current-Loop Closed 588
11.3.3 Control Design Procedures 593 11.3.4 Correlation between New and
Classical Design Procedures 609 11.4 Current Mode Control for Off-Line
Flyback Converter with Optocoupler-Isolated Feedback 615 11.4.1 Off-Line
Power Supplies 615 11.4.2 Current Mode Control for Flyback Converter with
Optocoupler Feedback 616 11.5 Summary 630 References 633 Problems 633 Index
637 Normal0falsefalsefalseEN-USZH-CNX-NONE
Power Conversion 3 1.1 Description of PWM Dc-to-dc Power Conversion 4 1.2
Dc-to-dc Power Conversion System 7 1.3 Features and Issues of PWM Dc-to-dc
Converter 8 1.4 Chapter Highlights 10 References 12 2 Power Stage
Components 13 2.1 Semiconductor Switches 13 2.2 Energy Storage and Transfer
Devices 17 2.3 Switching Circuits in Practice 38 2.4 Summary 50 References
51 Problems 51 3 Buck Converter 69 3.1 Ideal Step Down Dc-to-dc Power
Conversion 70 3.2 Buck Converter: Step Down Dc-to-dc Converter 72 3.3 Buck
Converter in Start Up Transient 76 3.4 Buck Converter in Steady State 78
3.4.1 Circuit Analysis Techniques 78 3.5 Buck Converter in Discontinuous
Conduction Mode 87 3.6 Closed-loop Control of Buck Converter 97 3.7 Summary
107 References 108 Problems 108 4 Dc-to-dc Power Converter Circuits 123 4.1
Boost Converter 124 4.2 Buck/Boost Converter 135 4.3 Structure and Voltage
Gain of Three Basic Converters 144 4.4 Flyback Converter: Transformer
Isolated Buck/Boost Converter 145 4.5 Bridge-Type Buck Derived Isolated
Dc-to-dc Converters 154 4.6 Forward Converters 167 4.7 Summary 180
References 181 Problems 181 PART II MODELING, DYNAMICS, AND DESIGN OF PWM
DC-TO-DC CONVERTERS 5 Modeling PWM Dc-to-dc Converters 201 5.1 Overview of
PWM Converter Modeling 202 5.2 Averaging Power Stage Dynamics 204 5.3
Linearizing Averaged Power Stage Dynamics 223 5.4 Frequency Response of
Converter Power Stage 230 5.5 Small signal Gain of PWM Block 235 5.6 Small
signal Model for PWM Dc-to-dc Converters 236 5.7 Summary 240 References 241
Problems 241 6 Power Stage Transfer Functions 247 6.1 Bode Plot for
Transfer Functions 247 6.2 Power Stage Transfer Functions of Buck Converter
266 6.3 Power Stage Transfer Functions of Boost Converter 274 6.4 Power
Stage Transfer Functions of Buck/Boost Converter 284 6.5 Empirical Methods
in Small signal Analysis 286 6.6 Summary 289 References 289 Problems 291 7
Dynamic Performance of PWM Dc-to-dc Converters 299 7.1 Stability 300 7.2
Frequency-Domain Performance Criteria 303 7.3 Time-Domain Performance
Criteria 307 7.4 Stability of Dc-to-dc Converters 309 7.5 Nyquist Criterion
311 7.6 Relative Stability: Gain Margin and Phase Margin 318 7.7 Summary
325 References 325 Problems 326 8 Closed-loop Performance and Feedback
Compensation 333 8.1 Asymptotic Analysis Method 334 8.2 Frequency-Domain
Performance 341 8.3 Voltage Feedback Compensation and Loop Gain 346 8.4
Compensation Design and Closed-loop Performance 351 Performance 355 8.5
Summary 385 References 387 Problems 387 9 Practical Considerations in
Modeling, Analysis, and Design of PWM Converters 409 9.1 Generalization of
PWM Converter Model 410 9.2 Design and Analysis of Dc-to-Dc Converters with
Practical Source System 433 9.3 Consideration for Non-Resistive Load 452
9.4 Summary 453 References 456 Problems 456 PART III CURRENT MODE CONTROL
10 Current Mode Control - Functional Basics and Classical Analysis 467 10.1
Current Mode Control Basics 469 10.2 Classical Analysis and Control Design
Procedures 480 10.3 Closed-loop Performance of Peak Current Mode Control
511 10.4 Current Mode Control for Boost and Buck/Boost Converters 535 10.5
Summary 551 References 553 Problems 553 11 Current Mode Control - Sampling
Effects and New Control Design Procedures 561 11.1 Sampling Effects of
Current Mode Control 562 11.2 Expressions for s-Domain Model for Current
Mode Control 569 11.3 New Control Design Procedures for Current Mode
Control 586 11.4 Current Mode Control for Off-Line Flyback Converter with
Optocoupler-Isolated Feedback 615 11.5 Summary 630 References 633 Problems
633 Index 637 Preface vii PART I CIRCUITS FOR DC-TO-DC POWER CONVERTERS 1
PWM Dc-to-dc Power Conversion 3 1.1 Description of PWM Dc-to-dc Power
Conversion 4 1.1.1 Dc-to-dc Power Conversion 4 1.1.2 PWM Technique 6 1.2
Dc-to-dc Power Conversion System 7 1.3 Features and Issues of PWM Dc-to-dc
Converter 8 1.4 Chapter Highlights 10 References 12 2 Power Stage
Components 13 2.1 Semiconductor Switches 13 2.1.1 MOSFETs 14 2.1.2 Diodes
15 2.1.3 Simple Switching Circuit 16 2.2 Energy Storage and Transfer
Devices 17 2.2.1 Inductors 18 2.2.2 Capacitors 25 2.2.3 Transformers 31 2.3
Switching Circuits in Practice 38 2.3.1 Solenoid Drive Circuits 38 2.3.2
Capacitor Charging Circuit 44 2.4 Summary 50 References 51 Problems 51 3
Buck Converter 69 3.1 Ideal Step Down Dc-to-dc Power Conversion 70 3.2 Buck
Converter: Step Down Dc-to-dc Converter 72 3.2.1 Evolution to Buck
Converter 72 3.2.2 Frequency Domain Analysis 73 3.3 Buck Converter in Start
Up Transient 76 3.3.1 Piecewise Linear Analysis 76 3.3.2 Startup Response
76 3.4 Buck Converter in Steady State 78 3.4.1 Circuit Analysis Techniques
78 3.4.2 Steady State Analysis 80 3.4.3 Estimation of -output Voltage
Ripple 82 3.5 Buck Converter in Discontinuous Conduction Mode 87 3.5.1
Origin of Discontinuous Conduction Mode Operation 88 3.5.2 Conditions for
DCM Operation 90 3.5.3 Steady State Operation in DCM 92 3.6 Closed-loop
Control of Buck Converter 97 3.6.1 Closed-loop Feedback Controller 98 3.6.2
Responses of Closed-loop Controlled Buck Converter 102 3.7 Summary 107
References 108 Problems 108 4 Dc-to-dc Power Converter Circuits 123 4.1
Boost Converter 124 4.1.1 Evolution to Boost Converter 124 4.1.2 Steady
State Analysis in CCM 126 4.1.3 Steady State Analysis in DCM 130 4.1.4
Effects of Parasitic Resistance on Voltage Gain 132 4.2 Buck/Boost
Converter 135 4.2.1 Evolution to Buck/Boost Converter 135 4.2.2
Steady-state Analysis in CCM 138 4.2.3 Steady-state Analysis in DCM 141 4.3
Structure and Voltage Gain of Three Basic Converters 144 4.4 Flyback
Converter: Transformer Isolated Buck/Boost Converter 145 4.4.1 Evolution to
Flyback Converter 146 4.4.2 Steady-state Analysis in CCM 147 4.4.3
Steady-state Analysis in DCM 151 4.5 Bridge-Type Buck Derived Isolated
Dc-to-dc Converters 154 4.5.1 Switch Network and Multi Winding Transformer
155 4.5.2 Full-Bridge Converter 158 4.5.3 Half-Bridge Converter 163 4.5.4
Push-Pull Converter 167 4.6 Forward Converters 167 4.6.1 Basic Operational
Principles 167 4.6.2 Tertiary-Winding Reset Forward Converter 173 4.6.3
Two-Switch Forward Converter 177 4.7 Summary 180 References 181 Problems
181 PART II MODELING, DYNAMICS, AND DESIGN OF PWM DC-TO-DC CONVERTERS 5
Modeling PWM Dc-to-dc Converters 201 5.1 Overview of PWM Converter Modeling
202 5.2 Averaging Power Stage Dynamics 204 5.2.1 State-Space Averaging 206
5.2.2 Circuit Averaging 212 5.2.3 Generalization of Circuit Averaging
Technique 221 5.2.4 Circuit Averaging and State Space Averaging 222 5.3
Linearizing Averaged Power Stage Dynamics 223 5.3.1 Linearization of
Nonlinear Function and Small Signal Model 223 5.3.2 Small Signal Model for
PWM Switch: PWM Switch Model 225 5.3.3 Small Signal Model of Converter
Power Stage 227 5.4 Frequency Response of Converter Power Stage 230 5.4.1
Sinusoidal Response of Power Stage 230 5.4.2 Frequency Response and
s-Domain Small signal Power Stage Model 232 5.5 Small signal Gain of PWM
Block 235 5.6 Small signal Model for PWM Dc-to-dc Converters 236 5.6.1
Voltage Feedback Circuit 236 5.6.2 Small signal Model for PWM Converters
238 5.7 Summary 240 References 241 Problems 241 6 Power Stage Transfer
Functions 247 6.1 Bode Plot for Transfer Functions 247 6.1.1 Basic
Definitions 248 6.1.2 Bode Plots for Multiplication Factors 250 6.1.3 Bode
Plot Construction for Transfer Functions 259 6.1.4 Identification of
Transfer Function from Bode Plot 264 6.2 Power Stage Transfer Functions of
Buck Converter 266 6.2.1 Input-to-output Transfer Function 266 6.2.2 Duty
Ratio-to-output Transfer Function 270 6.2.3 Load Current-to-output Transfer
Function 273 6.3 Power Stage Transfer Functions of Boost Converter 274
6.3.1 Input-to-output Transfer Function 274 6.3.2 Duty Ratio-to-output
Transfer Function and RHP Zero 276 6.3.3 Load Current-to-output Transfer
Function 280 6.3.4 Physical Origin of RHP Zero 280 6.4 Power Stage Transfer
Functions of Buck/Boost Converter 284 6.5 Empirical Methods in Small signal
Analysis 286 6.6 Summary 289 References 289 Problems 291 7 Dynamic
Performance of PWM Dc-to-dc Converters 299 7.1 Stability 300 7.2
Frequency-Domain Performance Criteria 303 7.2.1 Loop Gain 303 7.2.2
Audio-Susceptibility 304 7.2.3 -output Impedance 305 7.3 Time-Domain
Performance Criteria 307 7.3.1 Step Load Response 307 7.3.2 Step Input
Response 308 7.4 Stability of Dc-to-dc Converters 309 7.4.1 Stability of
Linear Time-Invariant Systems 309 7.4.2 Small signal Stability of Dc-to-dc
Converters 310 7.5 Nyquist Criterion 311 7.6 Relative Stability: Gain
Margin and Phase Margin 318 7.7 Summary 325 References 325 Problems 326 8
Closed-loop Performance and Feedback Compensation 333 8.1 Asymptotic
Analysis Method 334 8.1.1 Concept of Asymptotic Analysis Method 334 8.1.2
Examples of Asymptotic Analysis Method 336 8.2 Frequency-Domain Performance
341 8.2.1 Audio-Susceptibility 342 8.2.2 -output Impedance 345 8.3 Voltage
Feedback Compensation and Loop Gain 346 8.3.1 Problems of Single Integrator
347 8.3.2 Voltage Feedback Compensation Structure 349 8.3.3 Circuit
Implementation of Voltage Feedback Compensation 351 8.4 Compensation Design
and Closed-loop Performance 351 8.4.1 Voltage Feedback Compensation and
Loop Gain 352 8.4.2 Feedback Compensation Design Guidelines 354 8.4.3
Voltage Feedback Compensation and Closed-loop Performance 355 8.4.4 Phase
Margin and Closed-loop Performance 369 8.4.5 Compensation Zero and Speed of
Transient Responses 374 8.4.6 Step Load Response 378 8.4.7 Non-Minimum
Phase System Case: Boost and Buck/boost Converters 380 8.5 Summary 385
References 387 Problems 387 9 Practical Considerations in Modeling,
Analysis, and Design of PWM Converters 409 9.1 Generalization of PWM
Converter Model 410 9.1.1 Converter Modeling with Parasitic Resistances 410
9.1.2 Modeling and Analysis of PWM Converters in DCM Operation 417 9.1.3
Modeling of Isolated PWM Converters 427 9.2 Design and Analysis of Dc-to-Dc
Converters with Practical Source System 433 9.2.1 Audio-Susceptibility
Analysis 435 9.2.2 Stability Analysis 436 9.2.3 Input Impedance of
Regulated Dc-to-Dc Converter 443 9.2.4 Origin of Instability 448 9.2.5
Control Design with Source Impedance 450 9.2.6 Impacts of Source Impedance
on Loop Gain and -output Impedance 450 9.3 Consideration for Non-Resistive
Load 452 9.4 Summary 453 References 456 Problems 456 PART III CURRENT MODE
CONTROL 10 Current Mode Control - Functional Basics and Classical Analysis
467 10.1 Current Mode Control Basics 469 10.1.1 Evolution to Peak Current
Mode Control 469 10.1.2 Benefits and Issues of Peak Current Mode Control
476 10.1.3 Average Current Mode Control and Charge Control 478 10.2
Classical Analysis and Control Design Procedures 480 10.2.1 Small signal
Model for Peak Current Mode Control 482 10.2.2 Loop Gain Analysis 488
10.2.3 Stability Analysis 491 10.2.4 Voltage Feedback Compensation 494
10.2.5 Control Design Procedures 499 10.2.6 Analysis of Converter Dynamics
in DCM 508 10.3 Closed-loop Performance of Peak Current Mode Control 511
10.3.1 Audio-Susceptibility Analysis 512 10.3.2 -output Impedance Analysis
519 10.3.3 Step Load Response Analysis 523 10.4 Current Mode Control for
Boost and Buck/Boost Converters 535 10.4.1 Stability Analysis and Control
Design 535 10.4.2 Loop Gain Analysis 546 10.5 Summary 551 References 553
Problems 553 11 Current Mode Control - Sampling Effects and New Control
Design Procedures 561 11.1 Sampling Effects of Current Mode Control 562
11.1.1 Origin and Consequence of Sampling Effects 562 11.1.2 Modeling
Methodology for Sampling Effects 565 11.1.3 Feedforward Gains 566 11.1.4
Complete s-Domain Model for Current Mode Control 567 11.1.5 Two Prevalent
s-Domain Models for Current Mode Control 567 11.2 Expressions for s-Domain
Model for Current Mode Control 569 11.2.1 Modified Small signal Model 570
11.2.2 Modulator Gain F*m 571 11.2.3 He(s): s-Domain Representation of
Sampling Effects 572 11.2.4 Feedforward Gains 582 11.3 New Control Design
Procedures for Current Mode Control 586 11.3.1 New Power Stage Model 586
11.3.2 Control-to-output Transfer Function with Current-Loop Closed 588
11.3.3 Control Design Procedures 593 11.3.4 Correlation between New and
Classical Design Procedures 609 11.4 Current Mode Control for Off-Line
Flyback Converter with Optocoupler-Isolated Feedback 615 11.4.1 Off-Line
Power Supplies 615 11.4.2 Current Mode Control for Flyback Converter with
Optocoupler Feedback 616 11.5 Summary 630 References 633 Problems 633 Index
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