Harmonic Modeling of Voltage Source Converters Using Basic Numerical Methods
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Format: | Elektronisch E-Book |
Sprache: | English |
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Newark
John Wiley & Sons, Incorporated
2022
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Schriftenreihe: | IEEE Press Ser
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Online-Zugang: | DE-573 |
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Inhaltsangabe:
- Cover
- Title Page
- Copyright
- Contents
- Preface
- Acknowledgments
- Symbols
- Chapter 1 Fundamental Theory
- 1.1 Background
- 1.2 Definition of Harmonics
- 1.3 Fourier Series
- 1.3.1 Trigonometric Form
- 1.3.2 Phasor Form
- 1.3.3 Exponential Form
- 1.4 Waveform Symmetry
- 1.4.1 Even Symmetry
- 1.4.2 Odd Symmetry
- 1.4.3 Half‐Wave Symmetry
- 1.5 Phase Sequence of Harmonics
- 1.6 Frequency Domain and Harmonic Domain
- 1.7 Power Definitions
- 1.7.1 Average Power
- 1.7.2 Apparent and Reactive Power
- 1.8 Harmonic Indices
- 1.8.1 Total Harmonic Distortion (THD)
- 1.8.2 Total Demand Distortion (TDD)
- 1.8.3 True Power Factor
- 1.9 Detrimental Effects of Harmonics
- 1.9.1 Resonance
- 1.9.2 Misoperations of Meters and Relays
- 1.9.3 Harmonics Impact on Motors
- 1.9.4 Harmonics Impact on Transformers
- 1.10 Characteristic Harmonic and Non‐Characteristic Harmonic
- 1.11 Harmonic Current Injection Method
- 1.12 Steady‐State vs. Transient Response
- 1.13 Steady‐State Modeling
- 1.14 Large‐Signal Modeling vs. Small‐Signal Modeling
- 1.15 Discussion of IEEE Standard (STD) 519
- 1.16 Supraharmonics
- Chapter 2 Power Electronics Basics
- 2.1 Some Basics
- 2.2 Semiconductors vs. Wide Bandgap Semiconductors
- 2.3 Types of Static Switches
- 2.3.1 Uncontrolled Static Switch
- 2.3.2 Semi‐Controllable Switches
- 2.3.3 Controlled Switch
- 2.4 Combination of Switches
- 2.5 Classification Based on Commutation Process
- 2.6 Voltage Source Converter vs. Current Source Converter
- Chapter 3 Basic Numerical Iterative Methods
- 3.1 Definition of Error
- 3.2 The Gauss-Seidel Method
- 3.3 Predictor‐Corrector
- 3.4 Newton's Method
- 3.4.1 Root Finding
- 3.4.2 Numerical Integration
- 3.4.3 Power Flow
- 3.4.4 Harmonic Power Flow
- 3.4.5 Shooting Method
- 3.4.6 Advantages of Newton's Method
- 3.4.7 Quasi‐Newton Method
- 3.4.8 Limitation of Newton's Method
- 3.5 PSO
- Chapter 4 Matrix Exponential
- 4.1 Definition of Matrix Exponential
- 4.2 Evaluation of Matrix Exponential
- 4.2.1 Inverse Laplace Transform
- 4.2.2 Cayley-Hamilton Method
- 4.2.3 Padé Approximation
- 4.2.4 Scaling and Squaring
- 4.3 Krylov Subspace Method
- 4.4 Krylov Space Method with Restarting
- 4.5 Application of Augmented Matrix on DC‐DC Converters
- 4.6 Runge-Kutta Methods
- Chapter 5 Modeling of Voltage Source Converters
- 5.1 Single‐Phase Two‐Level VSCs
- 5.1.1 Switching Functions
- 5.1.2 Switched Circuits
- 5.2 Three‐Phase Two‐Level VSCs
- 5.3 Three‐Phase Multilevel Voltage Source Converter
- 5.3.1 Multilevel PWM
- 5.3.2 Diode Clamped Multilevel VSCs
- 5.3.3 Flying Capacitor Multilevel VSCs
- 5.3.4 Cascaded Multi‐Level VSCs
- 5.3.5 Modular Multi‐Level VSC
- Chapter 6 Frequency Coupling Matrices
- 6.1 Construction of FCM in the Harmonic Domain
- 6.2 Construction of FCM in the Time Domain
- Chapter 7 General Control Approaches of a VSC
- 7.1 Reference Frame
- 7.1.1 Stationary‐abc Frame
- 7.1.2 Stationary‐<
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- 7.1.3 Synchronous‐<
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- 7.1.4 Phase‐Locked Loop
- 7.2 Control Strategies
- 7.2.1 Vector‐Current Controller
- 7.2.2 Direct Power Controller
- 7.2.3 DC‐bus Voltage Controller
- 7.2.4 Circulating Current Controller
- Chapter 8 Generalized Steady‐State Solution Procedure for Closed‐Loop Converter Systems
- 8.1 Introduction
- 8.2 Generalized Procedure
- 8.2.1 Step 1: Determine How and Where to Break the Loop
- 8.2.2 Step 2: Check if the Calculation Flows of the Broken System are Feasible
- 8.2.3 Step 3: Determine What Domain of Each Component in the System Should be Modeled
- 8.2.4 Step 4: Formulate the Mismatch Equations
- 8.2.5 Step 5: Iterate to Find the Solution
- 8.3 Previously Proposed Methods Derived from the Proposed Solution Procedures
- 8.3.1 Steady‐State Methods Derived from Loop‐Breaking 1 Method
- 8.3.2 Steady‐State Methods Derived from Loop‐Breaking 2 Method
- 8.4 The Loop‐Breaking 3 Method
- Chapter 9 Loop‐Breaking 1 Method
- 9.1 A Typical Two‐Level VSC with AC Current Control and DC Voltage Control
- 9.2 Loop‐Breaking 1 Method for a Two‐Level VSC
- 9.2.1 Block 1
- 9.2.2 Current Controller Block
- 9.2.3 Voltage Controller Block
- 9.3 Solution Flow Diagram
- 9.3.1 Initialization
- 9.3.2 Jacobian Matrix
- 9.3.3 Number of Modulating Voltage Harmonics to be Included
- Chapter 10 Loop‐Breaking 2 Method for Solving a VSC
- 10.1 Modeling for a Closed‐Loop DC‐DC Converter
- 10.1.1 Model of the Buck Converter
- 10.1.2 Constraints of Steady‐State
- 10.1.3 Switching Time Constraints
- 10.1.4 Solution Flow Diagram
- 10.2 Two‐Level VSC Modeling: Open‐Loop Equations
- 10.2.1 Steady‐State Constraints
- 10.2.2 Switching Time Constraints
- 10.2.3 Solution Flow Diagram
- 10.2.4 Initialization
- 10.2.5 Jacobian Matrix
- 10.3 Comparison Between the LB 1 and LB 2 Methods
- 10.3.1 Case #1: Balanced System
- 10.3.2 Case #2: Unbalanced System with AC Waveform Exhibiting Half‐Wave Symmetry
- 10.3.3 Case #3: Unbalanced System, No Waveform Symmetry
- 10.4 Large‐Signal Modeling for Line‐Commutated Power Converter
- 10.4.1 Discontinuous Conduction Mode
- 10.4.2 Continuous Conduction Mode
- 10.4.3 Steady‐State Constraint Equations
- 10.4.4 General Comments
- Chapter 11 Loop‐Breaking 3 Method
- 11.1 OpenDSS
- 11.2 Interfacing OpenDSS with MATLAB
- 11.3 Interfacing OpenDSS with Harmonic Models of VSCs
- Chapter 12 Small‐Signal Harmonic Model of a VSC
- 12.1 Problem Statement
- 12.2 Gauss-Seidel LB 3 and Newton LB 3
- 12.2.1 Current Injection Method
- 12.2.2 Norton Circuit Method
- 12.3 Small‐Signal Analysis of DC‐DC Converter
- 12.4 Small‐Signal Analysis of a Two‐Level VSC
- 12.4.1 Approach from Section 12.3
- 12.4.2 Simpler Approach
- Chapter 13 Parameter Estimation for a Single VSC
- 13.1 Background on Parameter Estimation
- 13.2 Parameter Estimator Based on White‐Box‐and‐Black‐Box Models
- 13.3 Estimation Validations
- 13.3.1 Experimental Validation
- 13.3.2 PSCAD/EMTDC Validation
- Chapter 14 Parameter Estimation for Multiple VSCs with Domain Adaptation
- 14.1 Introduction of Deep Learning
- 14.2 Domain Adaptation
- 14.3 Parameter Estimation for Multiple VSCs
- 14.4 Notations for DA
- 14.5 Supervised Domain Adaptation for Regression
- 14.6 Supervised Domain Adaptation for Classification
- 14.7 Test Setup
- 14.7.1 Data Generator
- 14.7.2 Data Preprocessing
- 14.8 Performance Metrics
- 14.8.1 R square (Regression)
- 14.8.2 Mean Absolute Percentage Error, MAPE (Regression)
- 14.8.3 Accuracy (Classification)
- 14.8.4 F1 score (Classification)
- 14.9 Test Results
- 14.9.1 Classification Task on Multiple VSC
- 14.9.2 Regression Task on Multiple VSC
- 14.10 Software for Running the Codes
- 14.11 Implementation of Domain Adaptation
- 14.11.1 Data Generation
- 14.11.2 Regression
- 14.11.3 Classification Network
- References
- Index
- EULA.