Pulsewidth Modulated DC-to-DC Power Conversion

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 1.2 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