Direct methods for stability analysis of electric power systems : theoretical foundation, BCU methodologies, and applications / Hsiao-Dong Chiang.

Format:

Book

Author/Creator:

Chiang, H. (Hsiao-Dong), author.

Language:

English

Subjects (All):

Electric power system stability.

Boundary element methods.

Electric power systems--Mathematical models.

Electric power systems.

Physical Description:

1 online resource (510 p.)

Edition:

1st edition

Distribution:

[Piscataqay, New Jersey] : IEEE Xplore, [2010]

Place of Publication:

Hoboken, New Jersey : Wiley, c2011.

Language Note:

English

System Details:

text file

Summary:

"This book describes the BCU method (Boundary of Stability Region Based Controlling Unstable Equilibrium Point method)"-- Provided by publisher.

"Widely accepted around the world, the BCU method is the only direct method used in the power industry. Direct Methods for Stability Analysis of Electric Power Systems presents a comprehensive theoretical foundation of the method and its numerical implementation. This book provides graduate students, researchers, and practitioners with theoretical foundations of direct methods, energy functions, and the BCU method as well as the group-based BCU method and its applications. Numerical studies on industrial models and data are also included"-- Provided by publisher.

Contents:

Preface

Acknowledgments

1. Introduction and Overview

1.1 Introduction

1.2 Trends of Operating Environment

1.3 Online TSA

1.4 Need for New Tools

1.5 Direct Methods: Limitations and Challenges

1.6 Purposes of This Book

2. System Modeling and Stability Problems

2.1 Introduction

2.2 Power System Stability Problem

2.3 Model Structures and Parameters

2.4 Measurement-Based Modeling

2.5 Power System Stability Problems

2.6 Approaches for Stability Analysis

2.7 Concluding Remarks

3. Lyapunov Stability and Stability Regions of Nonlinear Dynamical Systems

3.1 Introduction

3.2 Equilibrium Points and Lyapunov Stability

3.3 Lyapunov Function Theory

3.4 Stable and Unstable Manifolds

3.5 Stability Regions

3.6 Local Characterizations of Stability Boundary

3.7 Global Characterization of Stability Boundary

3.8 Algorithm to Determine the Stability Boundary

3.9 Conclusion

4. Quasi-Stability Regions: Analysis and Characterization

4.1 Introduction

4.2 Quasi-Stability Region

4.3 Characterization of Quasi-Stability Regions

4.4 Conclusions

5. Energy Function Theory and Direct Methods

5.1 Introduction

5.2 Energy Functions

5.3 Energy Function Theory

5.4 Estimating Stability Region Using Energy Functions

5.5 Optimal Schemes for Estimating Stability Regions

5.6 Quasi-Stability Region and Energy Function

5.7 Conclusion

6. Constructing Analytical Energy Functions for Transient Stability Models

6.1 Introduction

6.2 Energy Functions for Lossless Network-Reduction Models

6.3 Energy Functions for Lossless Structure-Preserving Models

6.4 Nonexistence of Energy Functions for Lossy Models

6.5 Existence of Local Energy Functions

6.6 Concluding Remarks

7. Construction of Numerical Energy Functions for Lossy Transient Stability Models

7.1 Introduction

7.2 A Two-Step Procedure

7.3 First Integral-Based Procedure

7.4 Ill-Conditioned Numerical Problems

7.5 Numerical Evaluations of Approximation Schemes.

7.6 Multistep Trapezoidal Scheme

7.7 On the Corrected Numerical Energy Functions

7.8 Concluding Remarks

8. Direct Methods for Stability Analysis: An Introduction

8.1 Introduction

8.2 A Simple System

8.3 Closest UEP Method

8.4 Controlling UEP Method

8.5 PEBS Method

8.6 Concluding Remarks

9. Foundation of the Closest UEP Method

9.1 Introduction

9.2 A Structure-Preserving Model

9.3 Closest UEP

9.4 Characterization of the Closest UEP

9.5 Closest UEP Method

9.6 Improved Closest UEP Method

9.7 Robustness of the Closest UEP

9.8 Numerical Studies

9.9 Conclusions

10. Foundations of the Potential Energy Boundary Surface Method

10.1 Introduction

10.2 Procedure of the PEBS Method

10.3 Original Model and Artifi cial Model

10.4 Generalized Gradient Systems

10.5 A Class of Second-Order Dynamical Systems

10.6 Relation between the Original Model and the Artifi cial Model

10.7 Analysis of the PEBS Method

10.8 Concluding Remarks

11. Controlling UEP Method: Theory

11.1 Introduction

11.2 The Controlling UEP

11.3 Existence and Uniqueness

11.4 The Controlling UEP Method

11.5 Analysis of the Controlling UEP Method

11.6 Numerical Examples

11.7 Dynamic and Geometric Characterizations

11.8 Concluding Remarks

12. Controlling UEP Method: Computations

12.1 Introduction

12.2 Computational Challenges

12.3 Constrained Nonlinear Equations for Equilibrium Points

12.4 Numerical Techniques for Computing Equilibrium Points

12.5 Convergence Regions of Equilibrium Points

12.6 Conceptual Methods for Computing the Controlling UEP

12.7 Numerical Studies

12.8 Concluding Remarks

13. Foundations of Controlling UEP Methods for Network-Preserving Transient Stability Models

13.1 Introduction

13.2 System Models

13.3 Stability Regions

13.4 Singular Perturbation Approach

13.5 Energy Functions for Network-Preserving Models

13.6 Controlling UEP for DAE Systems.

13.7 Controlling UEP Method for DAE Systems

13.8 Numerical Studies

13.9 Concluding Remarks

14. Network-Reduction BCU Method and Its Theoretical Foundation

14.1 Introduction

14.2 Reduced-State System

14.3 Analytical Results

14.4 Static and Dynamic Relationships

14.5 Dynamic Property (D3)

14.6 A Conceptual Network-Reduction BCU Method

14.7 Concluding Remarks

15. Numerical Network-Reduction BCU Method

15.1 Introduction

15.2 Computing Exit Points

15.3 Stability-Boundary-Following Procedure

15.4 A Safeguard Scheme

15.5 Illustrative Examples

15.6 Numerical Illustrations

15.7 IEEE Test System

15.8 Concluding Remarks

16. Network-Preserving BCU Method and Its Theoretical Foundation

16.1 Introduction

16.2 Reduced-State Model

16.3 Static and Dynamic Properties

16.4 Analytical Results

16.5 Overall Static and Dynamic Relationships

16.6 Dynamic Property (D3)

16.7 Conceptual Network-Preserving BCU Method

16.8 Concluding Remarks

17. Numerical Network-Preserving BCU Method

17.1 Introduction

17.2 Computational Considerations

17.3 Numerical Scheme to Detect Exit Points

17.4 Computing the MGP

17.5 Computation of Equilibrium Points

17.6 Numerical Examples

17.7 Large Test Systems

17.8 Concluding Remarks

18. Numerical Studies of BCU Methods from Stability Boundary Perspectives

18.1 Introduction

18.2 Stability Boundary of Network-Reduction Models

18.3 Network-Preserving Model

18.4 One Dynamic Property of the Controlling UEP

18.5 Concluding Remarks

19. Study of the Transversality Conditions of the BCU Method

19.1 Introduction

19.2 A Parametric Study

19.3 Analytical Investigation of the Boundary Property

19.4 The Two-Machine Infi nite Bus (TMIB) System

19.5 Numerical Studies

19.6 Concluding Remarks

20. The BCU-Exit Point Method

20.1 Introduction

20.2 Boundary Property

20.3 Computation of the BCU-Exit Point

20.4 BCU-Exit Point and Critical Energy.

20.5 BCU-Exit Point Method

20.6 Concluding Remarks

21. Group Properties of Contingencies in Power Systems

21.1 Introduction

21.2 Groups of Coherent Contingencies

21.3 Identifi cation of a Group of Coherent Contingencies

21.4 Static Group Properties

21.5 Dynamic Group Properties

21.6 Concluding Remarks

22. Group-Based BCU-Exit Method

22.1 Introduction

22.2 Group-Based Verifi cation Scheme

22.3 Linear and Nonlinear Relationships

22.4 Group-Based BCU-Exit Point Method

22.5 Numerical Studies

22.6 Concluding Remarks

23. Group-Based BCU-CUEP Methods

23.1 Introduction

23.2 Exact Method for Computing the Controlling UEP

23.3 Group-Based BCU-CUEP Method

23.4 Numerical Studies

23.5 Concluding Remarks

24. Group-Based BCU Method

24.1 Introduction

24.2 Group-Based BCU Method for Accurate Critical Energy

24.3 Group-Based BCU Method for CUEPs

24.4 Numerical Studies

24.5 Concluding Remarks

25. Perspectives and Future Directions

25.1 Current Developments

25.2 Online Dynamic Contingency Screening

25.3 Further Improvements

25.4 Phasor Measurement Unit (PMU)-Assisted Online ATC Determination

25.5 Emerging Applications

25.6 Concluding Remarks

Appendix

A1.1 Mathematical Preliminaries

A1.2 Proofs of Theorems in Chapter 9

A1.3 Proofs of Theorems in Chapter 10

Bibliography

Index.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on PDF viewed 12/21/2015.

ISBN:

9786612849039

9781282849037

1282849034

9780470872130

0470872136

9780470872123

0470872128

OCLC:

676969606