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E-raamat: Direct Methods for Stability Analysis of Electric Power Systems - Theoretical Foundation, BCU Methodologies and Applications: Theoretical Foundation, BCU Methodologies, and Applications [Wiley Online]

  • Formaat: 512 pages
  • Ilmumisaeg: 23-Nov-2010
  • Kirjastus: John Wiley & Sons Inc
  • ISBN-10: 470872136
  • ISBN-13: 9780470872130
Teised raamatud teemal:
  • Wiley Online
  • Hind: 186,08 €*
  • * hind, mis tagab piiramatu üheaegsete kasutajate arvuga ligipääsu piiramatuks ajaks
Direct Methods for Stability Analysis of Electric Power Systems - Theoretical Foundation, BCU Methodologies and Applications: Theoretical Foundation, BCU Methodologies, and ApplicationsSuurem pilt
  • Formaat: 512 pages
  • Ilmumisaeg: 23-Nov-2010
  • Kirjastus: John Wiley & Sons Inc
  • ISBN-10: 470872136
  • ISBN-13: 9780470872130
Teised raamatud teemal:
Wiley Online e-raamatudRohkem infot Wiley Online kohta
Raamatu kodulehekülg: https://onlinelibrary.wiley.com/doi/book/10.1002/9780470872130
Learn how to implement BCU methods for fast direct stability assessments of electric power systems Electric power providers around the world rely on stability analysis programs to help ensure uninterrupted service to their customers. These programs are typically based on step-by-step numerical integrations of power system stability models to simulate system dynamic behaviors. Unfortunately, this offline practice is inadequate to deal with current operating environments. For years, direct methods have held the promise of providing real-time stability assessments; however, these methods have presented several challenges and limitations.

This book addresses these challenges and limitations with the BCU methods developed by author Hsiao-Dong Chiang. To date, BCU methods have been adopted by twelve major utility companies in Asia and North America. In addition, BCU methods are the only direct methods adopted by the Electric Power Research Institute in its latest version of DIRECT 4.0.

Everything you need to take full advantage of BCU methods is provided, including:





Theoretical foundations of direct methods



Theoretical foundations of energy functions



BCU methods and their theoretical foundations



Group-based BCU method and its applications



Numerical studies on industrial models and data





Armed with a solid foundation in the underlying theory of direct methods, energy functions, and BCU methods, you'll discover how to efficiently solve complex practical problems in stability analysis. Most chapters begin with an introduction and end with concluding remarks, making it easy for you to implement these tested and proven methods that will help you avoid costly and dangerous power outages.
Preface xi
Acknowledgments xiii
1 Introduction and Overview
1(13)
1.1 Introduction
1(1)
1.2 Trends of Operating Environment
2(2)
1.3 Online TSA
4(1)
1.4 Need for New Tools
5(1)
1.5 Direct Methods: Limitations and Challenges
6(3)
1.6 Purposes of This Book
9(5)
2 System Modeling and Stability Problems
14(15)
2.1 Introduction
14(1)
2.2 Power System Stability Problem
15(4)
2.3 Model Structures and Parameters
19(2)
2.4 Measurement-Based Modeling
21(2)
2.5 Power System Stability Problems
23(2)
2.6 Approaches for Stability Analysis
25(2)
2.7 Concluding Remarks
27(2)
3 Lyapunov Stability and Stability Regions of Nonlinear Dynamical Systems
29(22)
3.1 Introduction
29(1)
3.2 Equilibrium Points and Lyapunov Stability
30(2)
3.3 Lyapunov Function Theory
32(2)
3.4 Stable and Unstable Manifolds
34(3)
3.5 Stability Regions
37(1)
3.6 Local Characterizations of Stability Boundary
38(5)
3.7 Global Characterization of Stability Boundary
43(2)
3.8 Algorithm to Determine the Stability Boundary
45(4)
3.9 Conclusion
49(2)
4 Quasi-Stability Regions: Analysis and Characterization
51(9)
4.1 Introduction
51(1)
4.2 Quasi-Stability Region
51(5)
4.3 Characterization of Quasi-Stability Regions
56(2)
4.4 Conclusions
58(2)
5 Energy Function Theory and Direct Methods
60(20)
5.1 Introduction
60(1)
5.2 Energy Functions
61(3)
5.3 Energy Function Theory
64(5)
5.4 Estimating Stability Region Using Energy Functions
69(4)
5.5 Optimal Schemes for Estimating Stability Regions
73(2)
5.6 Quasi-Stability Region and Energy Function
75(3)
5.7 Conclusion
78(2)
6 Constructing Analytical Energy Functions for Transient Stability Models
80(14)
6.1 Introduction
80(1)
6.2 Energy Functions for Lossless Network-Reduction Models
81(1)
6.3 Energy Functions for Lossless Structure-Preserving Models
82(7)
6.4 Nonexistence of Energy Functions for Lossy Models
89(3)
6.5 Existence of Local Energy Functions
92(1)
6.6 Concluding Remarks
93(1)
7 Construction of Numerical Energy Functions for Lossy Transient Stability Models
94(25)
7.1 Introduction
94(1)
7.2 A Two-Step Procedure
95(3)
7.3 First Integral-Based Procedure
98(7)
7.4 Ill-Conditioned Numerical Problems
105(3)
7.5 Numerical Evaluations of Approximation Schemes
108(2)
7.6 Multistep Trapezoidal Scheme
110(6)
7.7 On the Corrected Numerical Energy Functions
116(1)
7.8 Concluding Remarks
117(2)
8 Direct Methods for Stability Analysis: An Introduction
119(10)
8.1 Introduction
119(1)
8.2 A Simple System
120(2)
8.3 Closest UEP Method
122(1)
8.4 Controlling UEP Method
123(2)
8.5 PEBS Method
125(1)
8.6 Concluding Remarks
126(3)
9 Foundation of the Closest UEP Method
129(19)
9.1 Introduction
129(1)
9.2 A Structure-Preserving Model
129(3)
9.3 Closest UEP
132(2)
9.4 Characterization of the Closest UEP
134(1)
9.5 Closest UEP Method
135(1)
9.6 Improved Closest UEP Method
136(4)
9.7 Robustness of the Closest UEP
140(4)
9.8 Numerical Studies
144(2)
9.9 Conclusions
146(2)
10 Foundations of the Potential Energy Boundary Surface Method
148(29)
10.1 Introduction
148(1)
10.2 Procedure of the PEBS Method
149(1)
10.3 Original Model and Artificial Model
150(3)
10.4 Generalized Gradient Systems
153(4)
10.5 A Class of Second-Order Dynamical Systems
157(3)
10.6 Relation between the Original Model and the Artificial Model
160(4)
10.7 Analysis of the PEBS Method
164(11)
10.8 Concluding Remarks
175(2)
11 Controlling UEP Method: Theory
177(19)
11.1 Introduction
177(1)
11.2 The Controlling UEP
178(2)
11.3 Existence and Uniqueness
180(1)
11.4 The Controlling UEP Method
181(2)
11.5 Analysis of the Controlling UEP Method
183(5)
11.6 Numerical Examples
188(3)
11.7 Dynamic and Geometric Characterizations
191(2)
11.8 Concluding Remarks
193(3)
12 Controlling UEP Method: Computations
196(19)
12.1 Introduction
196(1)
12.2 Computational Challenges
197(2)
12.3 Constrained Nonlinear Equations for Equilibrium Points
199(2)
12.4 Numerical Techniques for Computing Equilibrium Points
201(2)
12.5 Convergence Regions of Equilibrium Points
203(2)
12.6 Conceptual Methods for Computing the Controlling UEP
205(2)
12.7 Numerical Studies
207(5)
12.8 Concluding Remarks
212(3)
13 Foundations of Controlling UEP Methods for Network-Preserving Transient Stability Models
215(20)
13.1 Introduction
215(1)
13.2 System Models
216(2)
13.3 Stability Regions
218(1)
13.4 Singular Perturbation Approach
219(2)
13.5 Energy Functions for Network-Preserving Models
221(1)
13.6 Controlling UEP for DAE Systems
222(2)
13.7 Controlling UEP Method for DAE Systems
224(2)
13.8 Numerical Studies
226(4)
13.9 Concluding Remarks
230(5)
14 Network-Reduction BCU Method and Its Theoretical Foundation
235(19)
14.1 Introduction
235(1)
14.2 Reduced-State System
236(1)
14.3 Analytical Results
237(9)
14.4 Static and Dynamic Relationships
246(1)
14.5 Dynamic Property (D3)
247(3)
14.6 A Conceptual Network-Reduction BCU Method
250(1)
14.7 Concluding Remarks
251(3)
15 Numerical Network-Reduction BCU Method
254(25)
15.1 Introduction
254(2)
15.2 Computing Exit Points
256(1)
15.3 Stability-Boundary-Following Procedure
257(5)
15.4 A Safeguard Scheme
262(1)
15.5 Illustrative Examples
263(7)
15.6 Numerical Illustrations
270(4)
15.7 IEEE Test System
274(1)
15.8 Concluding Remarks
275(4)
16 Network-Preserving BCU Method and Its Theoretical Foundation
279(21)
16.1 Introduction
279(1)
16.2 Reduced-State Model
280(5)
16.3 Static and Dynamic Properties
285(3)
16.4 Analytical Results
288(4)
16.5 Overall Static and Dynamic Relationships
292(2)
16.6 Dynamic Property (D3)
294(1)
16.7 Conceptual Network-Preserving BCU Method
295(4)
16.8 Concluding Remarks
299(1)
17 Numerical Network-Preserving BCU Method
300(26)
17.1 Introduction
300(4)
17.2 Computational Considerations
304(1)
17.3 Numerical Scheme to Detect Exit Points
305(2)
17.4 Computing the MGP
307(1)
17.5 Computation of Equilibrium Points
308(5)
17.6 Numerical Examples
313(6)
17.7 Large Test Systems
319(6)
17.8 Concluding Remarks
325(1)
18 Numerical Studies of BCU Methods from Stability Boundary Perspectives
326(19)
18.1 Introduction
326(2)
18.2 Stability Boundary of Network-Reduction Models
328(6)
18.3 Network-Preserving Model
334(5)
18.4 One Dynamic Property of the Controlling UEP
339(3)
18.5 Concluding Remarks
342(3)
19 Study of the Transversality Conditions of the BCU Method
345(20)
19.1 Introduction
345(1)
19.2 A Parametric Study
346(5)
19.3 Analytical Investigation of the Boundary Property
351(3)
19.4 The Two-Machine Infinite Bus (TMIB) System
354(6)
19.5 Numerical Studies
360(2)
19.6 Concluding Remarks
362(3)
20 The BCU-Exit Point Method
365(18)
20.1 Introduction
365(1)
20.2 Boundary Property
365(8)
20.3 Computation of the BCU-Exit Point
373(3)
20.4 BCU-Exit Point and Critical Energy
376(2)
20.5 BCU-Exit Point Method
378(1)
20.6 Concluding Remarks
379(4)
21 Group Properties of Contingencies in Power Systems
383(18)
21.1 Introduction
383(2)
21.2 Groups of Coherent Contingencies
385(1)
21.3 Identification of a Group of Coherent Contingencies
386(1)
21.4 Static Group Properties
387(8)
21.5 Dynamic Group Properties
395(4)
21.6 Concluding Remarks
399(2)
22 Group-Based BCU-Exit Method
401(19)
22.1 Introduction
401(1)
22.2 Group-Based Verification Scheme
402(1)
22.3 Linear and Nonlinear Relationships
403(7)
22.4 Group-Based BCU-Exit Point Method
410(2)
22.5 Numerical Studies
412(1)
22.6 Concluding Remarks
413(7)
23 Group-Based BCU-CUEP Methods
420(10)
23.1 Introduction
420(1)
23.2 Exact Method for Computing the Controlling UEP
421(2)
23.3 Group-Based BCU-CUEP Method
423(1)
23.4 Numerical Studies
424(4)
23.5 Concluding Remarks
428(2)
24 Group-Based BCU Method
430(17)
24.1 Introduction
430(1)
24.2 Group-Based BCU Method for Accurate Critical Energy
431(3)
24.3 Group-Based BCU Method for CUEPs
434(4)
24.4 Numerical Studies
438(7)
24.5 Concluding Remarks
445(2)
25 Perspectives and Future Directions
447(11)
25.1 Current Developments
447(3)
25.2 Online Dynamic Contingency Screening
450(2)
25.3 Further Improvements
452(1)
25.4 Phasor Measurement Unit (PMU)-Assisted Online ATC Determination
453(2)
25.5 Emerging Applications
455(2)
25.6 Concluding Remarks
457(1)
Appendix
458(14)
A.1.1 Mathematical Preliminaries
458(1)
A1.2 Proofs of Theorems in
Chapter 9
459(5)
A1.3 Proofs of Theorems in
Chapter 10
464(8)
Bibliography 472(11)
Index 483
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.
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