An improved technique to determine the controlling unstable equilibrium point in a power system

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 43, Issue 4, 1996, Pages 313-323

  Treinen, Roger T ^a   Vittal, Vijay ^a   Kliemann, Wolfgang ^a  

^a Iowa State University of Science and Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ELECTRIC GENERATORS; NONLINEAR EQUATIONS; NUMERICAL METHODS; SYSTEM STABILITY; SYSTEMS ANALYSIS; TRANSIENTS;

FAULT ON TRAJECTORY; MINIMUM GRADIENT POINT; NONLINEAR ALGEBRAIC EQUATIONS; TRANSIENT ENERGY FUNCTION; UNSTABLE EQUILIBRIUM POINT;

ELECTRIC POWER SYSTEMS;

EID: 0030130011     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.488810     Document Type: Article

References (26)

1. P. M. Anderson and A. A. Fouad, Power System Control and Stability, vol. 1. Ames, IA: The Iowa State Univ. Press, 1977.
2. A. A. Fouad and V. Vittal, Power System Transient Stability Analysis Using the- Transient Knp.rgy function Method, bnglewood Cliffs, NJ: Prentice-Hall, 1991.
3. R. T. Treinen, V. Vittal, and A. A. Fonad, "Application of a modalbased transient energy function to a large scale stressed power system: assessment of transient stability and transient voltage dip," Int. J. Electric Power Energy Syst., vol. 15, no. 2, pp. 117-125, 1993.
4. G. C. Ejebe, G. D. Irisarri et al., "Analytical methods for contingency selection and ranking for dynamic security analysis," EPRI TR-104352, Final Report, Sept. 1994.
5. V. Venkatasubramanian, H. Schattier, and J. Zaborsky. "Stability regions for differential-algebraic systems," in Systems, Models and. Feedback: Theory and Applications. Boston, MA: Birkhauser, 1992.
6. I. Hiskens and D. Hill. "Energy functions, transient stability and voltage behavior in power systems with nonlinear loads," IEEE Trans. Power Syst., vol. 4, pp. 1525-1533, Oct. 1989.
7. K. L. Praprost, and K. A. Loparo. "An energy function method for determining voltage collapse during a power system transient," IEEE Tmns.Power Syst., vol. 41, pp. 635-651, Oct. 1994.
8. A. A. Fouad, V. Vittal, and T. Oh, "Critical energy for transient stability assessment of a multimachine power system," IEEE Trans. Power Apparatus Syst., vol. PAS-103, pp. 2199-2206. Aug. 1984.
9. H. D. Chiang, F. F. Wu, and P. P. Varaiya, "Foundations of the potential energy boundary surface method for power system transient stability analysis," IEEE Tran. Circuits Syst., vol. 35, pp. 712-728, June 1988.
10. "A ECU method for direct analysis of power system transient stability," IEEE PS Winter Power Mtg. Paper 91SM423-4PWRS.
11. "Foundations of direct methods for power system transient sta-bility analysis," IEEE Trans. Circuits Syst., vol. CAS- 34, pp. 160-173. Feb. 1987.
12. H. D. Chiang and F. F. Wu, "Stability of nonlinear systems described by a second order vector differential equation," IEEE Trans. Circuits Syst.. vol. 35, pp. 703-711, June 1988.
13. J. Zaborsky, G. Huaug, B. Zheng. and T. Leung. "On the phase portrait of a class of large nonlinear dynamic systems such as the power system," IEEE Trans. Automat. Contr., vol. 33, pp. 4-15, Jan. 1988.
14. J. Zaborsky, G. Huang, and B. Zheng, "A counterexample on a theorem by Tsolas et al. and an independent result by Zaborsky et al." IEEE Trans. Automat. Contr., vol. 33, pp. 316-317, Mar. 1988.
15. R Treinen, "An improved method to determine the controlling unstable equilibrium point in a power system," Ph.D. dissertation, Iowa State Univ., Ames, 1993.
16. N. Kakimoto, Y. Obsawa, .and M. Hayashi. "Transient stability analysis of electric power systems' via Lure type Lyapunov function," in Proc. IEE Japan, vol. 98, May/June 1978, pp. 63-78.
17. S. Wolfram, Mathematica: A System for Doing Mathematics by Com-puter. Redwood City, CA: Addison-Wesley, 1991.
18. B. Berggren and G. Andersson. "On the nature of unstable equilibrium points in power systems," IEEE Trans. Power Syst., vol. 8, pp. 738-745, May 1993.
19. W. M. Boothby, An Introduction to Differentiable Manifolds and Rie mannian Geometry. San Diego, CA: Academic, 1986.
20. A. C. Hindmarsh, LSODE/ODEPACK (1987). Computing and Math. Res. Div., 1-316 Lawrence Livermore National Lab., Livermore, CA.
21. "ODEPACK: A systematized collection of ODE solvers," Sei enctific Computing, R. S. Sîepleman, Ed. Amsterdam: North-Holland, 1983, pp. 55-64.
22. V. Vittal, "TEEE test committee report: transient stability test systems for direct stability methods," IEEE Trans. Power Syst., vol. 7, pp. 37-44, Feb. 1992.
23. H. D. Chiang, "Study of the existence of energy functions for power systems with losses," IEEE Trans. Circuits Syst., vol. 36, pp. 1423-1429, Nov. 1989.
24. E. H. Abed and P. P. Varaiya, "Nonlinear oscillations in power systems," Int. .1. Electric Power Energy Syst., vol. 6, pp. 37-43, 1984.
25. J. C. Alexander, "Oscillatory solutions of a model of nonlinear swing eouations," Int. J. Electric Power Energy Syst., vol. 8, pp. 130-136, 1986.
26. Hlectric Power Research Institute. Extended Transient Mid-Term. Stability Package version 3.0, 1992. EPRI Res. Project 1208-9. Palo Alto, CA.