Harmonic Modeling of Voltage Source Converters using Basic Numerical Methods

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.

Auteur

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.

Texte du rabat
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.

Contenu
Table of Contents

1 Fundamental Theory 5

1.1 Background 5

1.2 Definition of Harmonics 7

1.3 Fourier Series 7

1.3.1 Trigonometric Form 7

1.3.2 Phasor Form 9

1.3.3 Exponential Form 10

1.4 Waveform Symmetry 11

1.4.1 Even Symmetry 11

1.4.2 Odd Symmetry 11

1.4.3 Half-wave symmetry 12

1.5 Phase Sequence of Harmonics 14

1.6 Frequency Domain and Harmonic Domain 15

1.7 Power Definitions 15

1.7.1 Average Power 15

1.7.2 Apparent and Reactive Power 16

1.8 Harmonic Indices 19

1.8.1 Total Harmonic Distortion (THD) 19

1.8.2 Total Demand Distortion (TDD) 20

1.8.3 True Power Factor 20

1.9 Detrimental Effects of Harmonics 21

1.9.1 Resonance 21

1.9.2 Misoperations of Meters and Relays 27

1.9.3 Harmonics Impact on Motors 28

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1.9.4 Harmonics Impact on Transformers 28

1.10 Characteristic Harmonic and Non-Characteristic Harmonic 29

1.11 Current Injection Method 32

1.12 Steady-State v.s. Transient Response 33

1.13 Steady-State Modeling 34

1.14 Large-Signal Modeling v.s. Small-Signal Modeling 37

1.15 Discussion on IEEE Standard (STD) 519 38

1.16 Supraharmonics 45

2 Power Electronics Basics 52

2.1 Some Basics 53

2.2 Semiconductors v.s Wide Bandgap Semiconductors 55

2.3 Types of Static Switches 56

2.3.1 Uncontrolled static switch 56

2.3.2 Semi-controllable switches 58

2.3.3 Controlled Switch 58

2.4 Combination of Switches 63

2.5 Classification Based on Commutation Process 63

2.6 Voltage Source Converter vs. Current Source Converter 65

3 Basic Numerical Iterative Methods 69

3.1 Definition of Error 70

3.2 Gauss-Seidel 71

3.3 Predictor-Corrector 73

3.4 Newton's Method 77

3.4.1 Root Finding 78

3.4.2 Numerical Integration 79

3.4.3 Power Flow 80

3.4.4 Harmonic Power Flow 85

3.4.5 Shooting Method 87

3.4.6 Advantages of Newton's Method 93

3.4.7 Quasi-Newton Method 95

3.4.8 Limitation of Newton's Method 97

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3.5 Particle Swarm Optimization 97 …