Power System Wide-area Stability Analysis and Control

Chapter

Chapter 2 Power System Analysis and Control Theory

2.1 Introduction

2.2 Mathematical Model of Power System

2.2.1 Mathematical Model of Synchronous Generator

2.2.2 Mathematical Model of Excitation System

2.2.3 Mathematical Model of Prime Mover and Speed Governor

2.2.4 Mathematical Model of Load

2.3 Power System Stability Analysis Method

2.3.1 Time-Domain Simulation Method

2.3.2 Eigenvalue Analysis Method

2.3.3 Transient Energy Function Method

2.4 Automatic Control Theory

2.4.1 Classical Control Theory

2.4.2 Modern Control Theory

2.4.3 Large System Theory and Intelligent Control Theory

2.5 Summary

References

Chapter 3 Wide-Area Information Monitoring

3.1 Introduction

3.2 Test System

3.2.1 Four-Generator Two-Area System

3.2.2 Sixteen-Generator System

3.2.3 Western Electricity Coordinating Council

3.3 Optimal Selection of Wide-Area Signal

3.3.1 Wide-Area Signal Selection Method Based on the Contribution Factor

3.3.2 Simulation Verification

3.4 Optimal Selection of Wide-Area Controller

3.4.1 Mathematical Background

3.4.2 Example Test System

3.4.3 GPSS Based on Collocated Controller Design

3.4.4 Testing Results and Analysis

3.5 Summary

References

Chapter 4 Stability Analysis of Stochastic System

4.1 Introduction

4.2 Stability Analysis of Stochastic Parameter System

4.2.1 Interval Model and Second-Order Perturbation Theory-Based Modal Analysis

4.2.2 Power System Small-Signal Stability Region Calculation Method Based on the Guardian Map Theory

4.3 Stability Analysis of Stochastic Structure System

4.3.1 Model-Trajectory-Based Method for Analyzing the Fault System

4.3.2 Angle Stability Analysis of Power System Considering Cascading Failure

4.4 Stability Analysis of Stochastic Excitation System

4.4.1 Model of Multiple Operating Conditions System Considering the Stochastic Characteristic of Wind Speed

4.4.2 Simulation Analysis

4.5 Summary

References

Chapter 5 Stability Analysis of Time-Delay System

5.1 Introduction

5.2 Stability Analysis of a Non-Jump Time-Delay System

5.2.1 Stochastic Stability Analysis of Power System with Time Delay Based on Itô Differential

5.2.2 Stochastic Time-Delay Stability Analysis of a Power System with Wind Power Connection

5.3 Stability Analysis of a Jump Time-Delay System

5.3.1 Jump Power System Time-Delay Stability Analysis Based on Discrete Markov Theory

5.3.2 Time-Delay Stability Analysis of Power System Based on the Fault Chains and Markov Process

5.4 Summary

Appendix A

References

Chapter 6 Wide-area Robust Control

6.1 Introduction

6.2 Robust Control for Internal Uncertainties

6.2.1 Multiobjective Robust H2/H∞ Control Considering Uncertainties for Damping Oscillation

6.2.2 Robust H2/H∞ Control Strategy Based on Polytope Uncertainty

6.3 Optimal Robust Control

6.3.1 Wide-Area Damping Robust Control Based on Nonconvex Stable Region

6.3.2 Wide-Area Damping Robust H2/H∞ Control Strategy Based on Perfect Regulation

6.4 Error Tracking Robust Control

6.4.1 Control Algorithm

6.4.2 Simulation Verification

6.5 Summary

References

Chapter 7 Wide-Area Adaptive Control

7.1 Introduction

7.2 Adaptive Control Considering Operating Condition Identification

7.2.1 Federated Kalman Filter Based Adaptive Damping Control of Inter-Area Oscillations

7.2.2 Classification and Regression Tree Based Adaptive Damping Control of Inter-Area Oscillations

7.3 Adaptive Control Considering Controller Switching

7.3.1 Dual Youla Parameterization Based Adaptive Wide-Area Damping Control

7.3.2 Continuous Markov Model Based Adaptive Control Strategy for Time-Varying Power System

7.3.3 Discrete Markov Model Based Adaptive Control Strategy of Multiple-Condition Power System

7.3.4 Adaptive Controller Switching Considering Time Delay

7.4 Summary

References

Index

EULA

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