Structural stability in power systems - effect of load models

IEEE Transactions on Power Systems

Volumn 10, Issue 2, 1995, Pages 609-615

  Pai, M A ^a   Sauer, P W ^a   Lesieutre, B C ^b   Adapa, R ^c  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c EPRI Elect Sys ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

STEADY STATE STABILITY; STRUCTURAL STABILITY; VOLTAGE STABILITY;

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC LOADS; INDUCTION MOTORS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; SYSTEM STABILITY; VECTORS;

ELECTRIC POWER SYSTEMS;

EID: 0029309033     PISSN: 08858950     EISSN: 15580679     Source Type: Journal    
DOI: 10.1109/59.387895     Document Type: Article

References (28)

1. A. A. Andronov and L. Pontryagin, “Systems grossiers,” Dukl. Akad. Nauk, SSSR, vol. 14, pp. 247-251, 1937.
2. A. A. Andronov and C. E. Chaikin, Theory of Oscillations, Princeton University Press, Princeton, NJ, 1949.
3. V. I. Arnold, Geometric Methods In The Theory Of Ordinary Differential Equations, Springer Verlag, New York, 1982.
4. L. Perko, Differential Equations and Dynamical Systems, Springer Verlag, New York, 1991.
5. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields, Springer Verlag, New York, 1983.
6. P. Varaiya, et al., Bifurcation and Chaos In Power system: A Survey, EPRI Report TR-100834, Aug. 1992.
7. T. S. Parker and L. O. Chua, Practical Numerical Algorithms For Chaotic Systems, Springer Verlag, 1989.
8. R. K. Bansal, Estimation of Stability Domains for the Transient Stability Investigation of Power Systems, Ph.D. Thesis, I.I.T., Kanpur, Aug. 1975.
9. K. R. Padiyar, M. A. Pai and C. Radhakrishna, “A versatile system model for the dynamic stability analysis of power systems including HVDC links,” IEEE Transactions on Power Apparatus and Systems, vol. 100, April 1981, pp. 1871-1880.
10. P. Kundur, G. J. Rogers, D. Y. Wong, L. Wang and M. G. Lauby, “A comprehensive computer program package for small signal stability analysis of power systems,” IEEE Transactions on Power Systems, vol. 5, no. 4, Nov. 1990, pp. 1076-1083.
11. P. W. Sauer and M. A. Pai, “Power system steady-state stability and the load flow Jacobian,” IEEE Transactions on Power Systems, vol. 5, no. 4, Nov. 1990, pp. 1374-1383.
12. P. W. Sauer and M. A. Pai, “Modeling and simulation of multi-machine power system dynamics,” Control and Dynamic Systems: Advances in Theory and Application (C. T. Leondes, Ed.), vol. 43, Academic Press, San Diego, CA, 1991.
13. P. M. Anderson and A. A. Fouad, Power System Control and Stability, Iowa State University Press, Ames, IA, 1977.
14. G. C. Verghese, I. J. Pérez-Arriaga and F. C. Scheweppe, “Selective modal analysis with applications to electric power systems, Part I and II,” IEEE Transactions on Power Apparatus and Systems, vol. PAS 101, no. 9, 1982, pp. 3117-3134.
15. E. H. Abed and P. P. Varaiya, “Nonlinear oscillations in power systems,” International Journal of Electric Power and Energy Systems, vol. 6, no. 1, pp. 37-43, 1984.
16. C. Rajagopalan, B. Lesieutre, P. W. Sauer and M. A. Pai, “Dynamic aspects of voltage/power characteristics,” IEEE Transactions on Power Systems, vol. 7, no. 3, pp. 990-1000, 1992.
17. V. Venkatasubramaniam, H. Schattler and J. Zaborszky, “Voltage dynamics: study of a generator with voltage control transmission and matched mw load,” IEEE Transactions on Automatic Control, vol. 37, no. 11, Nov. 1992, pp. 1717-1733.
18. I. A. Hiskens and D. J. Hill, “Failure modes of a collapsing power system,” Proc. of Bulk Power System Voltage Phenomena II - Voltage Stability and Security, Deep Creek Lake, Maryland, Aug. 1991, pp. 53-63.
19. J. Jarjis and F. D. Galiana, “Quantitative analysis of steady state stability in power networks,” IEEE Trans. on PAS, vol PAS-100, No. 1, Jan. 1981, pp. 318-326.
20. F.D. Galiana, “Power-voltage limitations imposed by the network structure of a power system,” Proc. of PICA, 1975, pp. 356-363.
21. F. F. Wu and S. Kumagai, “Steady-state security regions of power systems,” IEEE Trans. on Circuits and Systems, vol. CAS-29, no. 11, Nov. 1982, pp. 703-711.
22. P. Dersin and A.H. Levis, “Feasibility sets for steady-state loads in electric power networks,” IEEE Trans on PAS, vol. PAS-101, no. 1, Jan. 1982, pp. 60-70.
23. J-C. Chow, R. Fischl, and H. Yan, “On the evaluation of voltage collapse criteria,” IEEE Trans on power systems, vol. 5, no. 2, May 1990, pp. 612-620.
24. L. Fekih-Ahmed and H-D Chiang, “Analysis of voltage collapse in structure preserving models of power systems,” Proc of ISCAS, San Diego, 1992, pp. 2525-2528.
25. P.W. Sauer, B.C. Lesieutre, M.A. Pai, “Dynamic vs. Static aspects of voltage problems,” Proc. Bulk power system voltage phenomena II voltage stability and securiety, Deep Creek Lake, MD, Aug. 1991, pp. 207-216.
26. W. Xu and Y. Mansour, “Voltage stability analysis using genic dynamic load models,” Paper 93 WM 185-9 PWRS, IEEE Winter Power Meeting, Colubus, OH, Jan. 31 - Feb. 5, 1993.
27. B. C. Lesieutre, P. W. Sauer and M. A. Pai, “Sufficient conditions on static load models for network solvability,” Proceedings of the Twenty-Fourth Annual North American Power Symposium, Reno, NV, Oct. 5-6, 1992, pp. 262-271.
28. C. Rajagopalan, P. W. Sauer and M. A. Pai, “Analysis of voltage control systems exhibiting Hopf bifurcation,” Proceedings 28th IEEE Conference on Decisionand Control, Tampa, FL, Dec. 13-15, 1989, pp. 332-335.