Abstract
Energy functions, an extension of the Lyapunov functions, have been practically used in electric power systems for several applications. A comprehensive energy function theory for general nonlinear autonomous dynamical systems, along with its applications to electric power systems, will be summarized in this entry. Several schemes for constructing numerical energy functions for power system transient stability models expressed as a set of general differential-algebraic equations are presented. A practical application of energy functions for direct stability assessment of power system transient stability is also presented.
Similar content being viewed by others
Bibliography
Chiang HD (1989) Study of the existence of energy functions for power systems with losses. IEEE Trans Circuits Syst CAS-36(11):1423–1429
Chiang HD (1999) Power system stability. In: Webster JG (ed) Wiley encyclopedia of electrical and electronics engineering. Wiley, New York, pp 104–137
Chiang HD (2011) Direct methods for stability analysis of electrical power system: theoretical foundation, BCU methodologies and application. Wiley, Hoboken
Chiang HD, Alberto LFC (2015) Stability regions of nonlinear dynamical systems: theory, estimation, and applications. Cambridge University Press, Cambridge
Chiang HD, Thorp JS (1989) Stability regions of nonlinear dynamical systems: a constructive methodology. IEEE Trans Autom Control 34(12):1229–1241
Chiang HD, Wu FF, Varaiya PP (1987) Foundations of direct methods for power system transient stability analysis. IEEE Trans Circuits Syst CAS-34(2):160–173
Chiang HD, Chu CC, Cauley G (1995) Direct stability analysis of electric power systems using energy functions: theory, applications and perspective. Invited paper, Proc. IEEE (83)11:1497–1529
Chiang HD, Wang CS, Li H (1999) Development of BCU classifiers for online dynamic contingency screening of electric power systems. IEEE Trans Power Syst 14(2):660–666
Chiang HD, Li H, Tong J, Tada Y (2013) On-line transient stability screening of a practical 14,500-bus power system: methodology and evaluations. In: Khaitan SK, Gupta A (eds) High performance computing in power and energy systems. Springer, Berlin/New York, pp 335–358. ISBN:978-3-642-32682-0
Chu CC, Chiang HD (1999) Constructing analytical energy functions for network-reduction power systems with models: framework and developments. Circuits Syst Signal Process 18(1):1–16
Chu CC, Chiang HD (2005) Constructing analytical energy functions for network-preserving power system models. Circuits Syst Signal Process 24(4):363–383
Fouad AA, Vittal V (1991) Power system transient stability analysis: using the transient energy function method. Prentice-Hall, Englewood Cliffs
Jiang N, Chiang HD (2013) Energy function for power system with detailed DC model: construction and analysis. IEEE Trans Power Syst 28(4):3756–3764
Sauer PW, Pai MA (1998) Power system dynamics and stability. Prentice-Hall, Upper Saddle River
Tong J, Chiang HD, Tada Y (2010) On-line power system stability screening of practical power system models using TEPCO-BC. In: Proceedings of the IEEE International Symposium on Circuits and Systems (ISCAS 2010), 1:537–540
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Section Editor information
Rights and permissions
Copyright information
© 2020 Springer-Verlag London Ltd., part of Springer Nature
About this entry
Cite this entry
Chiang, HD. (2020). Lyapunov Methods in Power System Stability. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_266-2
Download citation
DOI: https://doi.org/10.1007/978-1-4471-5102-9_266-2
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-4471-5102-9
Online ISBN: 978-1-4471-5102-9
eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering
Publish with us
Chapter history
-
Latest
Lyapunov Methods in Power System Stability- Published:
- 29 January 2020
DOI: https://doi.org/10.1007/978-1-4471-5102-9_266-2
-
Original
Lyapunov Methods in Power System Stability- Published:
- 18 March 2014
DOI: https://doi.org/10.1007/978-1-4471-5102-9_266-1