Power System Simulation Using Semi-Analytical Methods

Herausgegeben:Sun, Kai

• Gebundenes Buch

Produktbeschreibung

POWER SYSTEM SIMULATION USING SEMI-ANALYTICAL METHODS

Robust coverage of semi-analytical and traditional numerical methods for power system simulation

In Power System Simulation Using Semi-Analytical Methods, distinguished researcher Dr. Kai Sun delivers a comprehensive treatment of semi-analytical simulation and current semi-analytical methods for power systems. The book presents semi-analytical solutions on power system dynamics via mathematical tools, and covers parallel contingency analysis and simulations. The book offers an overview of power system simulation and contingency analysis supported by data, tables, illustrations, and case studies on realistic power systems and experiments.

Readers will find open-source code in MATLAB along with examples for key algorithms introduced in the book. You'll also find:
_ A thorough background on power system simulation, including models, numerical solution methods, and semi-analytical solution methods
_ Comprehensive explorations of semi-analytical power system simulation via a variety of mathematical methods such as the Adomian decomposition, differential transformation, homotopy analysis and holomorphic embedding methods
_ Practical discussions of semi-analytical simulations for realistic large-scale power grids
_ Fulsome treatments of parallel power system simulation

Perfect for power engineers and applied mathematicians with an interest in high-performance simulation of power systems and other large-scale network systems, Power System Simulation Using Semi-Analytical Methods will also benefit researchers and postgraduate students studying power system engineering.

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Produktdetails

• Verlag: Wiley & Sons / Wiley-IEEE Press
• Artikelnr. des Verlages: 1W119988010
• 1. Auflage
• Seitenzahl: 368
• Erscheinungstermin: 26. September 2023
• Englisch
• Abmessung: 234mm x 160mm x 27mm
• Gewicht: 747g
• ISBN-13: 9781119988014
• ISBN-10: 1119988012
• Artikelnr.: 67194305

Autorenporträt

Kai Sun, PhD, is a Professor with the Department of Electrical Engineering and Computer Science at the University of Tennessee in Knoxville. He is the author of Power System Control under Cascading Failures: Understanding, Mitigation and System Restoration and has co-authored more than ten IEEE journal papers on semi-analytical methods for power system simulation.

Inhaltsangabe

About the Editor xiii

List of Contributors xv

Preface xvii

1 Power System Simulation: From Numerical to Semi-Analytical 1
Kai Sun

1.1 Timescales of Simulation 1

1.2 Power System Models 3

1.2.1 Overview 3

1.2.1.1 Simplifying a Power System Model 3

1.2.1.2 A Practical Power System Model 4

1.2.2 Generator Models 5

1.2.2.1 Sixth-Order Model 6

1.2.2.2 Fourth-Order Model 7

1.2.2.3 Second-Order Model 9

1.2.3 Controller Models 9

1.2.3.1 Governor and Turbine Models 9

1.2.3.2 Excitation System Model 12

1.2.3.3 Power System Stabilizer 14

1.2.4 Load Models 14

1.2.4.1 Composite Load Model 15

1.2.4.2 ZIP Load Model 15

1.2.4.3 Motor Load Model 17

1.2.5 Network Model 17

1.2.6 Classical Power System Model 18

1.3 Numerical Simulation 20

1.3.1 Explicit Integration Methods 21

1.3.1.1 Forward Euler Method 22

1.3.1.2 Modified Euler Method 22

1.3.1.3 Runge-Kutta Methods 23

1.3.2 Implicit Integration Methods 24

1.3.2.1 Stiffness of ODEs 24

1.3.2.2 Backward Euler Method 26

1.3.2.3 Trapezoidal-Rule Method 26

1.3.2.4 Comparison with Explicit Methods 28

1.3.3 Solving Differential-Algebraic Equations 28

1.3.3.1 Partitioned Solution Approach 28

1.3.3.2 Simultaneous Solution Approach 29

1.4 Semi-Analytical Simulation 30

1.4.1 Drawbacks with Numerical Simulations 30

1.4.2 Emerging Methods for Semi-Analytical Power System Simulation 31

1.4.3 Approaches to Semi-Analytical Solutions 33

1.4.3.1 Analytical Expansion Approach 33

1.4.3.2 Analytical Homotopy Approach 35

1.4.4 Forms of Semi-Analytical Solutions 40

1.4.4.1 Power Series Form 40

1.4.4.2 Other Series Forms 40

1.4.4.3 Fractional Forms 41

1.4.5 Schemes on Semi-Analytical Power System Simulation 41

1.5 Parallel Power System Simulation 43

1.5.1 Parallelization in Space 44

1.5.1.1 Natural Decoupling 44

1.5.1.2 Network Partitioning 44

1.5.2 Parallelization in Time 45

1.5.3 Parallelization of Semi-Analytical Solutions 48

1.6 Final Remark 48

References 49

2 Power System Simulation Using Power Series-Based Semi-Analytical Methods 53
Bin Wang

2.1 Power Series-Based SAS for Simulating Power System ODEs 53

2.1.1 Power Series-Based SAS for ODEs 53

2.1.2 SAS-Based Fault-On Trajectory Simulation and Its Application in Direct Methods 56

2.1.2.1 SAS-Based Simulation of Fault-On Trajectories 56

2.1.2.2 Application of SAS in Direct Methods 60

2.2 Power Series-Based SAS for Simulating Power System DAEs 63

2.2.1 Power Series-Based SAS for Power System DAEs 63

2.2.2 SAS-Based Simulation of Power System DAEs 66

2.3 Adaptive Time-Stepping Method for SAS-Based Simulation 69

2.3.1 Error-Rate Upper Bound 69

2.3.2 Adaptive Time-Stepping for SAS-Based Simulation 70

2.4 Numerical Examples 72

2.4.1 SAS vs. RK4 and BDF 72

2.4.2 SAS Derivation 74

2.4.3 Application of SAS-Based Simulation on Polish 2383-Bus Power System 75

References 78

3 Power System Simulation Using Differential Transformation Method 81
Yang Liu and Kai Sun

3.1 Introduction to Differential Transformation 81

3.2 Solving the Ordinary Differential Equation Model 85

3.2.1 Derivation Process 85

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