A Probabilistic Mechanism for Small Disturbance Instabilities in Electric Power Systems

IEEE Transactions on Circuits and Systems

Volumn 32, Issue 2, 1985, Pages 177-184

  Loparo, Kenneth A ^a   Blankenship, Gilmer L ^b  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC MACHINERY, SYNCHRONOUS; PROBABILITY; SYSTEM STABILITY - FAILURE;

PROBABILISTIC MECHANISM; SMALL DISTURBANCE INSTABILITIES; STOCHASTIC PROCESSES; UNSTABLE OSCILLATORY BEHAVIOR;

ELECTRIC POWER SYSTEMS;

EID: 0022012321     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCS.1985.1085683     Document Type: Article

References (21)

1. O. Hanson et al., “Influence of excitation and speed control parameters in stabilizing inter-system oscillations,” IEEE Power App. Syst., vol. PAS-87, pp. 1306–1313, 1968.
2. C. Goodwin, “Stability problems on the Western Ontario–Manitoba–Saskatchewan interconnection,” Canadian Electrical Association; 1963.
3. F. Schleif, J. White, “Damping for the Northwest–Sourthwest tieline oscillations—An analog study,” IEEE Trans. Power App. Syst., vol. PAS-85, pp. 1239-1244; 1966.
4. H. Ellis et al., “Dynamic stability of the Peach river transmission system,” IEEE Trans. Power App. Syst., vol. PAS-85, pp. 586–600, 1966.
5. K. Wright, “A solution to the dynamic stability problem at the Homer city station,” preprint of paper presented to Pennsylvania Electric Association System Planning Commission Meeting, (Hagerstown, MD), 1976.
6. R. Farmer and L. Daviet, “Case study of system frequency fluctuations,” presented at the IEEE Summer Power Meeting, 1972.
7. R. Cresap, W. Mittelstradt, “Small signal modulation of the Pacific HVDC intertie,” IEEE Trans. Power App. Syst., vol. PAS-95, pp. 536–541, 1976.
8. F. deMello, C. Concordia, “Concepts of synchronous machine stability as affected by excitation control,” IEEE Trans. Power App. Syst., vol PAS-88, pp. 316–329, 1969.
9. J. Undrill, “Power system stability studies by the method of Liapunov, I, II,” IEEE Trans. Power App. Syst., vol. PAS-86, pp. 791–811, 1967.
10. J. Nanda, “Some aspects on steady-state stability and transient response of a two-machine system,” presented at The IEEE Winter Power Meeting, 1971.
11. F. deMello, et al., “Dynamic Stability of Systems with Remote Generation,” Proc., Fourth National Conference on Prod. Trans. of Electrical Engineering, Rio de Janeiro, 1977.
12. G. Papanicolaou and W. Kohler, “Asymptotic analysis of deterministic and stochastic equations with rapidly varying components,” Commun. Math Phys., vol. 45, pp. 219–232, 1975.
13. G. Papanicolaou, W. Kohler, “Asymptotic theory of mixing stochastic ordinary differential equations,” Commun. Pure and Appl. Math., vol. 27, pp. 641–668, 1974.
14. G. Blankenship, G. Papanicolaou, “Stability and control of stochastic systems with wide-band noise disturbances,” SIAM J. Appl. Math., vol. 34, pp. 437–476, 1978.
15. G. Heydt, R. Burchett, “Stochastic analysis of power system dynamic stability,” Proc. 1977 Joint Automatic Control Conf., (San Fransico, CA).
16. _, “Probabilistic Methods for Power System Dynamic Stability Studies,” in Proc. 1977 Power Engineering Soc. Summer Meeting, Mexico City.
17. A. Fouad, ‘Stability Theory: Criteria for Transient Stability,” Proceedings Systems Engineering for Power: Status and Prospects, pp. 421–453, Henniker, New Hampshire, 1975.
18. J. L. Willems, “Comments on ‘Direct Methods for Transient Stability Studies in Power Systems Analysis’,” IEEE Trans. Automatic Control, AC-17, pp. 415–417, 1972.
19. K. Loparo, “Stability criteria for nonlinear and stochastic dynamical systems,” Ph.D. dissertation, Systems and Computer Engineering Dep., Case Western Reserve University, (Cleveland, OH), 1977.
20. K. Loparo and G. Blankenship, “Almost sure stability of stochastic differential equations,” Proc. Johns Hopkins Conf. Information Sciences and Systems, (Baltimore) 1981, pp. 120–124.
21. K. Loparo, “Stochastic stability of coupled linear systems: A survey of methods and results,” Stochastic Analysis and Appl., 1984, to be published.