Harmonic Modeling of Voltage Source Converters Using Basic Numerical - Method

Harmonic Modeling of Voltage Source Converters using Basic Numerical Methods
 
One of the first books to bridge the gap between frequency domain and time-domain methods of steady-state modeling of power electronic converters
 
Harmonic Modeling of Voltage Source Converters using Basic Numerical Methods presents detailed coverage of steady-state modeling of power electronic devices (PEDs). This authoritative resource describes both large-signal and small-signal modeling of power converters and how some of the simple and commonly used numerical methods can be applied for harmonic analysis and modeling of power converter systems. The book covers a variety of power converters including DC-DC converters, diode bridge rectifiers (AC-DC), and voltage source converters (DC-AC).
 
The authors provide in-depth guidance on modeling and simulating power converter systems. Detailed chapters contain relevant theory, practical examples, clear illustrations, sample Python and MATLAB codes, and validation enabling readers to build their own harmonic models for various PEDs and integrate them with existing power flow programs such as OpenDss.
 
This book:
* Presents comprehensive large-signal and small-signal harmonic modeling of voltage source converters with various topologies
* Describes how to use accurate steady-state models of PEDs to predict how device harmonics will interact with the rest of the power system
* Explains the definitions of harmonics, power quality indices, and steady-state analysis of power systems
* Covers generalized steady-state modeling techniques, and accelerated methods for closed-loop converters
* Shows how the presented models can be combined with neural networks for power system parameter estimations
 
Harmonic Modeling of Voltage Source Converters using Basic Numerical Methods is an indispensable reference and guide for researchers and graduate students involved in power quality and harmonic analysis, power engineers working in the field of harmonic power flow, developers of power simulation software, and academics and power industry professionals wanting to learn about harmonic modeling on power converters.

List of contents

Preface xiii
 
Acknowledgments xvii
 
List of Symbols xix
 
1 Fundamental Theory 1
 
1.1 Background 1
 
1.2 Definition of Harmonics 2
 
1.3 Fourier Series 2
 
1.3.1 Trigonometric Form 3
 
1.3.2 Phasor Form 4
 
1.3.3 Exponential Form 4
 
1.4 Waveform Symmetry 5
 
1.4.1 Even Symmetry 5
 
1.4.2 Odd Symmetry 6
 
1.4.3 Half-Wave Symmetry 6
 
1.5 Phase Sequence of Harmonics 8
 
1.6 Frequency Domain and Harmonic Domain 8
 
1.7 Power Definitions 9
 
1.7.1 Average Power 9
 
1.7.2 Apparent and Reactive Power 9
 
1.8 Harmonic Indices 11
 
1.8.1 Total Harmonic Distortion (THD) 11
 
1.8.2 Total Demand Distortion (TDD) 12
 
1.8.3 True Power Factor 12
 
1.9 Detrimental Effects of Harmonics 13
 
1.9.1 Resonance 13
 
1.9.2 Misoperations of Meters and Relays 17
 
1.9.3 Harmonics Impact on Motors 18
 
1.9.4 Harmonics Impact on Transformers 18
 
1.10 Characteristic Harmonic and Non-Characteristic Harmonic 19
 
1.11 Harmonic Current Injection Method 21
 
1.12 Steady-State vs. Transient Response 21
 
1.13 Steady-State Modeling 22
 
1.14 Large-Signal Modeling vs. Small-Signal Modeling 24
 
1.15 Discussion of IEEE Standard (STD) 519 25
 
1.16 Supraharmonics 30
 
2 Power Electronics Basics 37
 
2.1 Some Basics 37
 
2.2 Semiconductors vs. Wide Bandgap Semiconductors 38
 
2.3 Types of Static Switches 40
 
2.3.1 Uncontrolled Static Switch 40
 
2.3.2 Semi-Controllable Switches 41
 
2.3.3 Controlled Switch 42
 
2.4 Combination of Switches 44
 
2.5 Classification Based on Commutation Process 45
 
2.6 Voltage Source Converter vs. Current Source Converter 46
 
3 Basic Numerical Iterative Methods 49
 
3.1 Definition of Error 49
 
3.2 The Gauss-Seidel Method 50
 
3.3 Predictor-Corrector 52
 
3.4 Newton's Method 55
 
3.4.1 Root Finding 55
 
3.4.2 Numerical Integration 56
 
3.4.3 Power Flow 57
 
3.4.4 Harmonic Power Flow 61
 
3.4.5 Shooting Method 63
 
3.4.6 Advantages of Newton's Method 67
 
3.4.7 Quasi-Newton Method 69
 
3.4.8 Limitation of Newton's Method 71
 
3.5 PSO 71
 
4 Matrix Exponential 73
 
4.1 Definition of Matrix Exponential 74
 
4.2 Evaluation of Matrix Exponential 75
 
4.2.1 Inverse Laplace Transform 75
 
4.2.2 Cayley-Hamilton Method 76
 
4.2.3 Padé Approximation 78
 
4.2.4 Scaling and Squaring 80
 
4.3 Krylov Subspace Method 80
 
4.4 Krylov Space Method with Restarting 83
 
4.5 Application of Augmented Matrix on DC-DC Converters 86
 
4.6 Runge-Kutta Methods 90
 
5 Modeling of Voltage Source Converters 95
 
5.1 Single-Phase Two-Level VSCs 95
 
5.1.1 Switching Functions 95
 
5.1.2 Switched Circuits 97
 
5.2 Three-Phase Two-Level VSCs 99
 
5.3 Three-Phase Multilevel Voltage Source Converter 112
 
5.3.1 Multilevel PWM 112
 
5.3.2 Diode Clamped Multilevel VSCs 114
 
5.3.3 Flying Capacitor Multilevel VSCs 120
 
5.3.4 Cascaded Multi-Level VSCs 128
 
5.3.5 Modular Multi-Level VSC 140
 
6 Frequency Coupling Matrices 149
 
6.1 Construction of FCM in the Harmonic Domain 149
 
6.2 Construction of FCM in the Time Domain 155
 
7 General Control Approaches of a VSC 179
 
7.1 Reference Frame 179
 
7.1.1 Stationary-abc Frame 179
&nbs

About the author

Ryan Kuo-Lung Lian, Professor, Department of Electrical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan. He has been working in power system modeling for more than 10 years. His research interests are in power quality analysis, energy management systems, renewable energy systems, real time simulation, and power electronic control systems. Dr. Lian received his Ph.D. degree in Electrical Engineering from the University of Toronto, Canada, and he is a Senior Member of the Institute of Electrical and Electronics Engineers (IEEE).
Ramadhani Kurniawan Subroto, Postdoctoral Researcher, Department of Electrical Engineering, Technical University of Denmark, Denmark. Dr. Subroto received his Ph.D. degree in Electrical Engineering from National Taiwan University of Science and Technology, Taiwan in 2021. His research interests include power converter control, power system control, energy storage control, model predictive control, sliding mode control, and harmonics modeling of power converter. Victor Andrean, received his M.Sc. degree from the Department of Electrical Engineering at National Taiwan University of Science and Technology, Taipei City, Taiwan, in 2019. Victor is currently working as a data scientist for HedgeDesk, CA, USA. Bing Hao Lin, Associate Researcher, Green Energy and Environment Research Laboratories, Industrial Technology Research Institute, Hsinchu, Taiwan. He received his B.Sc. and M.Sc. degrees in Electrical Engineering from the National Taiwan University of Science and Technology in 2018 and 2020, respectively.

Summary

Harmonic Modeling of Voltage Source Converters using Basic Numerical Methods

One of the first books to bridge the gap between frequency domain and time-domain methods of steady-state modeling of power electronic converters

Harmonic Modeling of Voltage Source Converters using Basic Numerical Methods presents detailed coverage of steady-state modeling of power electronic devices (PEDs). This authoritative resource describes both large-signal and small-signal modeling of power converters and how some of the simple and commonly used numerical methods can be applied for harmonic analysis and modeling of power converter systems. The book covers a variety of power converters including DC-DC converters, diode bridge rectifiers (AC-DC), and voltage source converters (DC-AC).

The authors provide in-depth guidance on modeling and simulating power converter systems. Detailed chapters contain relevant theory, practical examples, clear illustrations, sample Python and MATLAB codes, and validation enabling readers to build their own harmonic models for various PEDs and integrate them with existing power flow programs such as OpenDss.

This book:
* Presents comprehensive large-signal and small-signal harmonic modeling of voltage source converters with various topologies
* Describes how to use accurate steady-state models of PEDs to predict how device harmonics will interact with the rest of the power system
* Explains the definitions of harmonics, power quality indices, and steady-state analysis of power systems
* Covers generalized steady-state modeling techniques, and accelerated methods for closed-loop converters
* Shows how the presented models can be combined with neural networks for power system parameter estimations

Harmonic Modeling of Voltage Source Converters using Basic Numerical Methods is an indispensable reference and guide for researchers and graduate students involved in power quality and harmonic analysis, power engineers working in the field of harmonic power flow, developers of power simulation software, and academics and power industry professionals wanting to learn about harmonic modeling on power converters.

Product details

• Authors: a, Victor Andrean, L, Rkl Lian, Ryan Kuo-Lun Lian, Ryan Kuo-Lung Lian, Ryan Kuo-Lung (National Taiwan University of Lian, Ryan Kuo-Lung Subroto Lian, Bing Hao Lin, Ramadhani Kurniawa Subroto, Ramadhani Kurniawan Subroto
• Publisher: Wiley, John and Sons Ltd
• Languages: English
• Product format: Hardback
• Released: 28.10.2021
• EAN: 9781119527138
• ISBN: 978-1-119-52713-8
• No. of pages: 416
• Series: Wiley - IEEE; IEEE Press
• Subjects: Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering; Energie, Leistungselektronik, ENERGY, Power electronics, Electrical & Electronics Engineering, Elektrotechnik u. Elektronik, Numerische Methoden u. Algorithmen, Numerical Methods & Algorithms, Electric Power Electronics