A stochastic methodology for modeling PSS in small signal stability analysis

40th North American Power Symposium, NAPS2008

Volumn , Issue , 2008, Pages

  Vargas, Luis S ^a   Verdejo, Humberto ^a   Kliemann, Wolfgang ^a  

^a NONE

Author keywords

Stochastic process, invariant distribution, small perturbation, power oscillations, pss

Indexed keywords

DETERMINISTIC APPROACH; GAIN PARAMETER; INVARIANT DISTRIBUTION; POWER OSCILLATIONS; SMALL DISTURBANCES; SMALL PERTURBATIONS; SMALL SIGNAL STABILITY; SMALL SIGNAL STABILITY ANALYSIS; STOCHASTIC DYNAMICS; STOCHASTIC METHODOLOGY; STOCHASTIC PROCESS; SYSTEM COMPONENTS; TEST SYSTEMS;

NONLINEAR CONTROL SYSTEMS; RANDOM PROCESSES; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; SUPERSONIC AIRCRAFT;

SYSTEM STABILITY;

EID: 73849099675     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/NAPS.2008.5307401     Document Type: Conference Paper

References (14)

1. F. P. Demello, Ch. Concordia, "Concepts pf Synchronous Machine Stability as Affected by Excitation Control", IEEE Transactions on Power Systems, Vol.PAS-88, No.4, pp316-329, April 1969.
2. P. Kundur, and R.P. Schulz, "Recent Trends and Progress in Synchronous Machine Modeling in the Electric Utility Industry", Proceedings of the IEEE, Vol.62, pp. 941-950, July 1974.
3. K. A. Loparo and G. L. Blankenship, "A Probabilistic Mechanism for Small Disturbance Instabilities in Electric Power Systems", IEEE Transactions on Circuits and Systems, Vol.CAS-32, No.2, pp 177-184, February 1985.
4. C. L. De Marco and A. R. Bergen, "A Security Measure for Random Load Disturbances in Nonlinear Power Systems Models", IEEE Transactions on Circuits and Systems, Vol.CAS-34, No.12, pp 1546-1557, December 1987.
5. N. S. Namachachivaya, M. A. Pai and M. Doyle, "Stichastic Approach to Small Disturbance Stability in Power Systems", Proceedings of Lyapunov Exponents Conference, Oberwolfach, May 28-June 2, 1990.
6. P. M. Anderson and A. A. Fouad, Power System Control and Stability, Iowa State University Press, Ames, Iowa, USA, 1977.
7. Arnold, L. and W. Kliemann, "On unique ergodicity for degenerate diffusions", Stochastics 21 (1987), 41-61.
8. Athreya, K.B.; Lahiri, S.N., Measure Theory and Probability Theory,Springer-Verlag, 2006.
9. Colonius, F. and W. Kliemann, Topological, Smooth, and Control Techniques for Stochastic Systems, in: Stochastic Systems, (Crauel, H. and M.V. Gundlach, eds.), Springer-Verlag, (1999), 181-208.
10. Colonius, F. and W. Kliemann, The Dynamics of Control, Birkhäuser,Boston, 2000.
11. Kliemann, W., "Recurrence and invariant measures for degenerate diffusions", Ann. Prob. 15 (1987), 690-707.
12. Kundur, P., Power System Stability and Control, McGraw-Hill, reprinted edition, 1994.
13. Sontag, E., Mathematical Control Theory, Springer-Verlag, 2nd edition, 1998.
14. Xie, Wei-Chau, Dynamic Stability of Structures, CambridgeUniversity Press, 2006.