Download Power Electronic Converters Modeling and Control.pdf PDF

Table of Contents

                            Foreword
Series Editors´ Foreword
Preface
Contents
Chapter 1: Introduction
	1.1 Role and Objectives of Power Electronic Converters in Power Systems
	1.2 Requirements of Modeling, Simulation and Control of Power Electronic Converters
	1.3 Scope and Structure of the Book
	References
Part I: Modeling of Power Electronic Converters
	Chapter 2: Introduction to Power Electronic Converters Modeling
		2.1 Models
			2.1.1 What Is a Model?
			2.1.2 Scope of Modeling
		2.2 Model Types
			2.2.1 Switched Models
			2.2.2 Sampled-Data Models
			2.2.3 Averaged Models
			2.2.4 Large-Signal and Small-Signal Models
				2.2.4.1 Obtaining Steady-State Models
				2.2.4.2 Building Small-Signal Models
			2.2.5 Behavioral Models
			2.2.6 Examples
		2.3 Use of Models
			2.3.1 Relations Between Various Types of Models
			2.3.2 Relations Between Modeling and Control
			2.3.3 Other Possible Uses of Models
		2.4 Conclusion
		References
	Chapter 3: Switched Model
		3.1 Mathematical Modeling
			3.1.1 General Mathematical Framework
			3.1.2 Bilinear Form
		3.2 Modeling Methodology
			3.2.1 Basic Assumptions. State Variables
			3.2.2 General Algorithm
			3.2.3 Examples
		3.3 Case Study: Three-Phase Voltage-Source Converter as Rectifier
		3.4 Conclusion
		Problems
		References
	Chapter 4: Classical Averaged Model
		4.1 Introduction
		4.2 Definitions and Basics
			4.2.1 Sliding Average
			4.2.2 State Variable Average
			4.2.3 Average of a Switch
			4.2.4 Complete Power Electronic Circuit Average
		4.3 Methodology of Averaging
			4.3.1 Graphical Approach
			4.3.2 Analytical Approach
		4.4 Analysis of Averaging Errors
			4.4.1 Exact Sampled-Data Model
			4.4.2 Relation Between Exact Sampled-Data Model and Exact Averaged Model
		4.5 Small-Signal Averaged Model
			4.5.1 Continuous Small-Signal Averaged Model
			4.5.2 Sampled-Data Small-Signal Model
			4.5.3 Example
		4.6 Case Study: Buck-Boost Converter
		4.7 Advantages and Limitations of the Averaged Model. Conclusion
		Problems
		References
	Chapter 5: Generalized Averaged Model
		5.1 Introduction
		5.2 Principles
			5.2.1 Fundamentals
			5.2.2 Relation with the First-Order-Harmonic Model
			5.2.3 Relation with Classical Averaged Model
		5.3 Examples
			5.3.1 Case of a State Variable
			5.3.2 Case of a Passive Circuit
			5.3.3 Case of a Coupled Circuit
			5.3.4 Switching Functions
				5.3.4.1 Case of Switching Functions Depending on Time
				5.3.4.2 Case of Switching Functions Depending on a State Variable
				5.3.4.3 Case of Switching Functions Depending on State Variables and Time
				5.3.4.4 Case of Multilevel Switching Functions
		5.4 Methodology of Averaging
			5.4.1 Analytical Approach
			5.4.2 Graphical Approach
		5.5 Relation Between Generalized Averaged Model and Real Waveforms
			5.5.1 Extracting Real-Time-Varying Signal from GAM
			5.5.2 Extracting GAM from Real-Time-Varying Signal
				5.5.2.1 Extraction of Real Part, x1=Re(y1)
				5.5.2.2 Extraction of Imaginary Part, x2=Im(y1)
		5.6 Using GAM for Expressing Active and Reactive Components of AC Variables
		5.7 Case Studies
			5.7.1 Current-Source Inverter for Induction Heating
				5.7.1.1 Analytical Method
				5.7.1.2 Graphical Method
			5.7.2 Series-Resonant Converter
			5.7.3 Limitations of GAM: Example
			5.7.4 PWM-Controlled Converters
				5.7.4.1 Single-Phase Case
				5.7.4.2 Three-Phase Case
		5.8 Conclusion
		Problems
		Appendix
		References
	Chapter 6: Reduced-Order Averaged Model
		6.1 Introduction
		6.2 Principle
		6.3 General Methodology
			6.3.1 Example with Alternating Variables: Current-Source Inverter for Induction Heating
			6.3.2 Example with Discontinuous-Conduction Mode: Buck-Boost Converter
		6.4 Case Studies
			6.4.1 Thyristor-Controlled Reactor Modeling
			6.4.2 DC-DC Boost Converter Operating in Discontinuous-Conduction Mode
		6.5 Conclusion
		Problems
		References
Part II: Control of Power Electronic Converters
	Chapter 7: General Control Principles of Power Electronic Converters
		7.1 Control Goals in Power Electronic Converter Operation
		7.2 Specific Control Issues Related to Power Electronic Converters
		7.3 Different Control Families
		7.4 Conclusion
		References
	Chapter 8: Linear Control Approaches for DC-DC Power Converters
		8.1 Linearized Averaged Models. Control Goals and Associated Design Methods
		8.2 Direct Output Control
			8.2.1 Assumptions and Design Algorithm
			8.2.2 Example of a Buck-Boost Converter
		8.3 Indirect Output Control: Two-Loop Cascaded Control Structure
			8.3.1 Assumptions and Design Algorithm
			8.3.2 Example of a Bidirectional-Current DC-DC Converter
			8.3.3 Two-Loop Cascaded Control Structure for DC-DC Converters with Nonminimum-Phase Behavior
		8.4 Converter Control Using Dynamic Compensation by Pole Placement
			8.4.1 Assumptions and Design Algorithm
			8.4.2 Example of a Buck Converter
		8.5 Digital Control Issues
			8.5.1 Approaches in Digital Control Design
			8.5.2 Example of Obtaining Digital Control Laws for Boost DC-DC Converter Used in a Photovoltaic Application
		8.6 Case Studies
			8.6.1 Boost Converter Output Voltage Direct Control by Lead-lag Control
			8.6.2 Boost Converter Output Voltage Direct Control by Pole Placement
		8.7 Conclusion
		Problems
		References
	Chapter 9: Linear Control Approaches for DC-AC and AC-DC Power Converters
		9.1 Introductory Issues
		9.2 Control in Rotating dq Frame
			9.2.1 Example of a Grid-Connected Single-Phase DC-AC Converter
		9.3 Resonant Controllers
			9.3.1 Necessity of Resonant Control
			9.3.2 Basics of Proportional-Resonant Control
			9.3.3 Design Methods
				9.3.3.1 Loop Shaping
				9.3.3.2 Pole Placement
				9.3.3.3 Naslin Polynomial Method
			9.3.4 Implementation Aspects
			9.3.5 Use of Resonant Controllers in a Hybrid dq-Stationary Control Frame
			9.3.6 Example of a Grid-Connected Three-Phase Inverter
		9.4 Control of Full-Wave Converters
		9.5 Case Study: dq-Control of a PWM Three-Phase Grid-Tie Inverter
			9.5.1 System Modeling
			9.5.2 Comments on the Adopted Control Structure
			9.5.3 Design of the Inner Loop (Current) Controllers
			9.5.4 Simulations Results Concerning the Inner Loop
			9.5.5 Design of the Outer Loop (Voltage) Controller
			9.5.6 Simulations Results Concerning the Outer Loop
		9.6 Conclusion
		Problems
		References
	Chapter 10: General Overview of Mathematical Tools Dedicated to Nonlinear Control
		10.1 Issues and Basic Concepts
			10.1.1 Elements of Differential Geometry
			10.1.2 Relative Degree and Zero Dynamics
			10.1.3 Lyapunov Approach
		10.2 Overview of Nonlinear Control Methods for Power Electronic Converters
		References
	Chapter 11: Feedback-linearization Control Applied to Power Electronic Converters
		11.1 Basics of Linearization via Feedback
			11.1.1 Problem Statement
			11.1.2 Main Results
		11.2 Application to Power Electronic Converters
			11.2.1 Feedback-Linearization Control Law Computation
			11.2.2 Pragmatic Design Approach
			11.2.3 Examples: Boost DC-DC Converter and Buck DC-DC Converter
			11.2.4 Dealing with Parameter Uncertainties
		11.3 Case Study: Feedback-Linearization Control of a Flyback Converter
			11.3.1 Linearizing Feedback Design
			11.3.2 Outer Loop Analysis
			11.3.3 Outer-Loop PI Design Without Taking into Account the Right-Half-Plane Zero
			11.3.4 Outer-Loop PI Design While Taking into Account the Right-Half-Plane Zero
		11.4 Conclusion
		Problems
		References
	Chapter 12: Energy-Based Control of Power Electronic Converters
		12.1 Basic Definitions
		12.2 Stabilizing Control of Power Electronic Converters
			12.2.1 General Nonlinear Case
			12.2.2 Linearized Case
			12.2.3 Stabilizing Control Design Algorithm
			12.2.4 Example: Stabilizing Control Design for a Boost DC-DC Converter
				12.2.4.1 Basic Stabilizing Control Design
				12.2.4.2 Validation of Imposed Dynamic Performance
				12.2.4.3 Control Input Saturation Issues
				12.2.4.4 Adaptive Stabilizing Control
		12.3 Approaches in Passivity-Based Control. Euler-Lagrange General Representation of Dynamical Systems
			12.3.1 Original Euler-Lagrange Form for Mechanical Systems
			12.3.2 Adaptation of Euler-Lagrange Formalism to Power Electronic Converters
			12.3.3 General Representation of Power Electronic Converters as Passive Dynamical Systems
			12.3.4 Examples of Converter Modeling in the Euler-Lagrange Formalism
		12.4 Passivity-Based Control of Power Electronic Converters
			12.4.1 Theoretical Background
			12.4.2 Limitations of Passivity-Based Control
			12.4.3 Parameter Estimation: Adaptive Passivity-Based Control
			12.4.4 Passivity-Based Control Design Algorithm
			12.4.5 Example: Passivity-Based Control of a Boost DC-DC Converter
				12.4.5.1 Basic Control Design
				12.4.5.2 Bounds of Damping Injection Coefficients
				12.4.5.3 Closed-Loop Small-Signal Stability Analysis
				12.4.5.4 Parameter Estimation
		12.5 Case Study: Passivity-Based Control of a Buck-Boost DC-DC Converter
			12.5.1 Basic Passivity-Based Control Design
			12.5.2 Damping Injection Tuning
			12.5.3 Study of Closed-Loop Small-Signal Stability
			12.5.4 Adaptive Passivity-Based Control Design
			12.5.5 Numerical Simulation Results
		12.6 Conclusion
		Problems
		References
	Chapter 13: Variable-Structure Control of Power Electronic Converters
		13.1 Introduction
		13.2 Sliding Surface
		13.3 General Theoretical Results
			13.3.1 Reachability of the Sliding Surface: Transversality Condition
			13.3.2 Equivalent Control
			13.3.3 Dynamics on the Sliding Surface
		13.4 Variable-Structure Control Design
			13.4.1 General Algorithm
			13.4.2 Application Example
			13.4.3 Pragmatic Design Approach
				13.4.3.1 Transversality Condition
				13.4.3.2 Equivalent Control
				13.4.3.3 Dynamics on the Sliding Surface
		13.5 Supplementary Issues
			13.5.1 Case of Time-Varying Switching Surfaces
			13.5.2 Choice of the Switching Surface
			13.5.3 Choice of the Switching Functions
			13.5.4 Limiting of the Switching Frequency
		13.6 Case Studies
			13.6.1 Variable-Structure Control of a Single-Phase Boost Power-Factor-Correction Converter
			13.6.2 Variable-Structure Control of a Three-Phase Rectifier as a MIMO System
				13.6.2.1 Modeling
				13.6.2.2 Variable-Structure Control Design
				13.6.2.3 Global Control Diagram
		13.7 Conclusion
		Problems
		References
General Conclusion
	References
Index