Hsiao-Dong Chiang

Direct Methods for Stability Analysis of Electric Power Systems

Theoretical Foundation, Bcu Methodologies, and Applications

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: John Wiley & Sons / Wiley
• Seitenzahl: 512
• Erscheinungstermin: 14. Dezember 2010
• Englisch
• Abmessung: 240mm x 161mm x 32mm
• Gewicht: 927g
• ISBN-13: 9780470484401
• ISBN-10: 0470484403
• Artikelnr.: 28164989

Autorenporträt

Hsiao-Dong Chiang, PhD, a Fellow of IEEE, is Professor of Electrical and Computer Engineering at Cornell University. Dr. Chiang is the founder of Bigwood Systems, Inc., and Global Optimal Technology, Inc., as well as the cofounder of Intelicis Corporation. Dr. Chiang's research and development activities range from fundamental theory development to practical system installations. He and his group at Cornell have published more than 300 refereed journal and conference papers. Professor Chiang's research focuses on nonlinear system theory and nonlinear computations and their practical applications to electric circuits, systems, signals, and images. He has been awarded ten U.S. patents and four patents from overseas countries.

Inhaltsangabe

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.