VOLTAGE-SOURCED CONVERTERS IN POWER SYSTEMS
CONTENTS
PREFACE
ACKNOWLEDGMENTS
ACRONYMS
1 Electronic Power Conversion
1.1 Introduction
1.2 Power-Electronic Converters and Converter Systems
1.3 Applications of Electronic Converters in Power Systems
1.4 Power-Electronic Switches
1.4.1 Switch Classification
1.4.2 Switch Characteristics
1.5 Classification of Converters
1.5.1 Classification Based on Commutation Process
1.5.2 Classification Based on Terminal Voltage and Current Waveforms
1.6 Voltage-Sourced Converter (VSC)
1.7 Basic Configurations
1.7.1 Multimodule VSC Systems
1.7.2 Multilevel VSC Systems
1.8 Scope of the Book
PART I FUNDAMENTALS
2 DC/AC Half-Bridge Converter
2.1 Introduction
2.2 Converter Structure
2.3 Principles of Operation
2.3.1 Pulse-Width Modulation (PWM)
2.3.2 Converter Waveforms
2.4 Converter Switched Model
2.5 Converter Averaged Model
2.6 Nonideal Half-Bridge Converter
2.6.1 Analysis of Nonideal Half-Bridge Converter: Positive AC-Side Current
2.6.2 Analysis of Nonideal Converter: Negative AC-Side Current
2.6.3 Averaged Model of Nonideal Half-Bridge Converter
3 Control of Half-Bridge Converter
3.1 Introduction
3.2 AC-Side Control Model of Half-Bridge Converter
3.3 Control of Half-Bridge Converter
3.4 Feed-Forward Compensation
3.4.1 Impact on Start-Up Transient
3.4.2 Impact on Dynamic Coupling Between Converter System and AC System
3.4.3 Impact on Disturbance Rejection Capability
3.5 Sinusoidal Command Following
4 Space Phasors and Two-Dimensional Frames
4.1 Introduction
4.2 Space-Phasor Representation of a Balanced Three-Phase Function
4.2.1 Definition of Space Phasor
4.2.2 Changing the Amplitude and Phase Angle of a Three-phase Signal
4.2.3 Generating a Controllable-Amplitude/Controllable-Frequency Three-Phase Signal
4.2.4 Space-Phasor Representation of Harmonics
4.3 Space-Phasor Representation of Three-Phase Systems
4.3.1 Decoupled Symmetrical Three-Phase Systems
4.3.2 Coupled Symmetrical Three-Phase Systems
4.3.3 Asymmetrical Three-Phase Systems
4.4 Power in Three-Wire Three-Phase Systems
4.5 αβ-Frame Representation and Control of Three-Phase Signals and Systems
4.5.1 αβ-Frame Representation of a Space Phasor
4.5.2 Realization of Signal Generators/Conditioners in αβ-Frame
4.5.3 Formulation of Power in αβ-Frame
4.5.4 Control in αβ-Frame
4.5.5 Representation of Systems in αβ-Frame
4.6 dq-Frame Representation and Control of Three-Phase Systems
4.6.1 dq-Frame Representation of a Space Phasor
4.6.2 Formulation of Power in dq-Frame
4.6.3 Control in dq-Frame
4.6.4 Representation of Systems in dq-Frame
5 Two-Level, Three-Phase Voltage-Sourced Converter
5.1 Introduction
5.2 Two-Level Voltage-Sourced Converter
5.2.1 Circuit Structure
5.2.2 Principles of Operation
5.2.3 Power Loss of Nonideal Two-Level VSC
5.3 Models and Control of Two-Level VSC
5.3.1 Averaged Model of Two-Level VSC
5.3.2 Model of Two-Level VSC in αβ-Frame
5.3.3 Model and Control of Two-Level VSC in dq-Frame
5.4 Classification of VSC Systems
6 Three-Level, Three-Phase, Neutral-Point Clamped, Voltage-Sourced Converter
6.1 Introduction
6.2 Three-Level Half-Bridge NPC
6.2.1 Generating Positive AC-Side Voltages
6.2.2 Generating Negative AC-Side Voltages
6.3 PWM Scheme For Three-Level Half-Bridge NPC
6.4 Switched Model of Three-Level Half-Bridge NPC
6.4.1 Switched AC-Side Terminal Voltage
6.4.2 Switched DC-Side Terminal Currents
6.5 Averaged Model of Three-Level Half-Bridge NPC
6.5.1 Averaged AC-Side Terminal Voltage
6.5.2 Averaged DC-Side Terminal Currents
6.6 Three-Level NPC
6.6.1 Circuit Structure
6.6.2 Principles of Operation
6.6.3 Midpoint Current
6.6.4 Three-Level NPC with Impressed DC-Side Voltages
6.7 Three-Level NPC with Capacitive DC-Side Voltage Divider
6.7.1 Partial DC-Side Voltage Drift Phenomenon
6.7.2 DC-Side Voltage Equalization
6.7.3 Derivation of DC-Side Currents
6.7.4 Unified Models of Three-Level NPC and Two-Level VSC
6.7.5 Impact of DC Capacitors Voltage Ripple on AC-Side Harmonics
7 Grid-Imposed Frequency VSC System: Control in αβ-Frame
7.1 Introduction
7.2 Structure of Grid-Imposed Frequency VSC System
7.3 Real-/Reactive-Power Controller
7.3.1 Current-Mode Versus Voltage-Mode Control
7.3.2 Dynamic Model of Real-/Reactive-Power Controller
7.3.3 Current-Mode Control of Real-/Reactive-Power Controller
7.3.4 Selection of DC-Bus Voltage Level
7.3.5 Trade-Offs and Practical Considerations
7.3.6 PWM with Third-Harmonic Injection
7.4 Real-/Reactive-Power Controller Based on Three-Level NPC
7.4.1 Midpoint Current of Three-level NPC Based on Third-Harmonic Injected PWM
7.5 Controlled DC-Voltage Power Port
7.5.1 Model of Controlled DC-Voltage Power Port
7.5.2 DC-Bus Voltage Control in Controlled DC-Voltage Power Port
7.5.3 Simplified and Accurate Models
8 Grid-Imposed Frequency VSC System: Control in dq-Frame
8.1 Introduction
8.2 Structure of Grid-Imposed Frequency VSC System
8.3 Real-/Reactive-Power Controller
8.3.1 Current-Mode Versus Voltage-Mode Control
8.3.2 Representation of Space Phasors in dq-Frame
8.3.3 Dynamic Model of Real-/Reactive-Power Controller
8.3.4 Phase-Locked Loop (PLL)
8.3.5 Compensator Design for PLL
8.4 Current-Mode Control of Real-/Reactive-Power Controller
8.4.1 VSC Current Control
8.4.2 Selection of DC-Bus Voltage Level
8.4.3 AC-Side Equivalent Circuit
8.4.4 PWM with Third-Harmonic Injection
8.5 Real-/Reactive-Power Controller Based on Three-Level NPC
8.6 Controlled DC-Voltage Power Port
8.6.1 Model of Controlled DC-Voltage Power Port
8.6.2 Control of Controlled DC-Voltage Power Port
8.6.3 Simplified and Accurate Models
9 Controlled-Frequency VSC System
9.1 Introduction
9.2 Structure of Controlled-Frequency VSC System
9.3 Model of Controlled-Frequency VSC System
9.4 Voltage Control
9.4.1 Autonomous Operation
10 Variable-Frequency VSC System
10.1 Introduction
10.2 Structure of Variable-Frequency VSC System
10.3 Control of Variable-Frequency VSC System
10.3.1 Asynchronous Machine
10.3.2 Doubly-Fed Asynchronous Machine
10.3.3 Permanent-Magnet Synchronous Machine
PART II APPLICATIONS
11 Static Compensator (STATCOM)
11.1 Introduction
11.2 Controlled DC-Voltage Power Port
11.3 STATCOM Structure
11.4 Dynamic Model for PCC Voltage Control
11.4.1 Large-Signal Model of PCC Voltage Dynamics
11.4.2 Small-Signal Model of PCC Voltage Dynamics
11.4.3 Steady-State Operating Point
11.5 Approximate Model of PCC Voltage Dynamics
11.6 STATCOM Control
11.7 Compensator Design for PCC Voltage Controller
11.8 Model Evaluation
12 Back-to-Back HVDC Conversion System
12.1 Introduction
12.2 HVDC System Structure
12.3 HVDC System Model
12.3.1 Grid and Interface Transformer Models
12.3.2 Back-to-Back Converter System Model
12.4 HVDC System Control
12.4.1 Phase-Locked Loop (PLL)
12.4.2 dq-Frame Current-Control Scheme
12.4.3 PWM Gating Signal Generator
12.4.4 Partial DC-Side Voltage Equalization
12.4.5 Power Flow Control
12.4.6 DC-Bus Voltage Regulation
12.5 HVDC System Performance Under an Asymmetrical Fault
12.5.1 PCC Voltage Under an Asymmetrical Fault
12.5.2 Performance of PLL Under an Asymmetrical Fault
12.5.3 Performance of dq-Frame Current-Control Scheme Under an Asymmetrical Fault
12.5.4 Dynamics of DC-Bus Voltage Under an Asymmetrical Fault
12.5.5 Generation of Low-Order Harmonics Under an Asymmetrical Fault
12.5.6 Steady-State Power-Flow Under an Asymmetrical Fault
12.5.7 DC-Bus Voltage Control Under an Asymmetrical Fault
13 Variable-Speed Wind-Power System
13.1 Introduction
13.2 Constant-Speed and Variable-Speed Wind-Power Systems
13.2.1 Constant-Speed Wind-Power Systems
13.2.2 Variable-Speed Wind-Power Systems
13.3 Wind Turbine Characteristics
13.4 Maximum Power Extraction from A Variable-Speed Wind-Power System
13.5 Variable-Speed Wind-Power System Based on Doubly-Fed Asynchronous Machine
13.5.1 Structure of the Doubly-Fed Asynchronous Machine-Based Wind-Power System
13.5.2 Machine Torque Control by Variable-Frequency VSC System
13.5.3 DC-Bus Voltage Regulation by Controlled DC-Voltage Power Port
13.5.4 Compensator Design for Controlled DC-Voltage Power Port
APPENDIX A: Space-Phasor Representation of Symmetrical Three-Phase Electric Machines
A.1 Introduction
A.2 Structure of Symmetrical Three-Phase Machine
A.3 Machine Electrical Model
A.3.1 Terminal Voltage/Current Equations
A.3.2 Stator Flux Space Phasor
A.3.3 Rotor Flux Space Phasor
A.3.4 Machine Electrical Torque
A.4 Machine Equivalent Circuit
A.4.1 Machine Dynamic Equivalent Circuit
A.4.2 Machine Steady-State Equivalent Circuit
A.5 Permanent-Magnet Synchronous Machine (PMSM)
A.5.1 PMSM Electrical Model
A.5.2 PMSM Steady-State Equivalent Circuit
APPENDIX B: Per-Unit Values for VSC Systems
B.1 Introduction
B.1.1 Base Values for AC-Side Quantities
B.1.2 Base Values for DC-Side Quantities
REFERENCES
INDEX