Evaluation of uncertainty in dynamic simulations of power system models: The probabilistic collocation method

IEEE Transactions on Power Systems

Volumn 19, Issue 3, 2004, Pages 1483-1491

  Hockenberry, James R ^a   Lesieutre, Bernard C ^a  

^a IEEE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; POLYNOMIAL APPROXIMATION; PROBABILITY DENSITY FUNCTION; UNCERTAIN SYSTEMS;

POWER SYSTEM MODELING; POWER SYSTEM SIMULATION; PROBABILISTIC COLLOCATION METHOD;

ELECTRIC POWER SYSTEMS;

EID: 4043118237     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2004.831689     Document Type: Article

References (32)

1. R. N. Allan, R. Billinton, A. M. Breipohl, and C. H. Grigg, "Bibliography on the application of probability methods in power system reliability evaluation 1992-1996," IEEE Trans. Power Syst., vol. 14, pp. 51-57, Feb. 1999.
2. R. N. Allan, "Bibliography on the application of probabilitiy methods in power system reliability evaluation 1987-1991," IEEE Trans. Power Syst., vol. 9, pp. 41-49, Feb. 1994.
3. R. N. Allan, R. Billinton, S. M. Shahidehpour, and C. Singh, "Bibliography on the application of probability methods in power system reliability evaluation 1982-1987," IEEE Trans. Power Syst., vol. 3, pp. 1555-1564, Nov. 1988.
4. R. N. Allan, R. Billinton, and S. H. Lee, "Bibliography on the application of probability methods in power system reliability evaluation 1977-1982," IEEE Trans. Power App. Syst., vol. PAS-103, pp. 275-282, Feb. 1984.
5. IEEE Subcommittee on the Application of Probability Methods, "Bibliography on the application of probability methods in power system reliability evaluation 1971-1977," IEEE Trans. Power App. Syst., vol. PAS-97, pp. 2235-2242, 1978.
6. R. Billinton, "Bibliography on the application of probability methods in power system reliability evaluation," IEEE Trans. Power App. Syst., vol. PAS-91, pp. 649-660, Mar./Apr. 1972.
7. M. T. Schilling, A. M. L. da Silva, R. Billinton, and M. A. El-Kady, "Bibliography on power system probabilistic analysis (1962-1988 ," IEEE Trans. Power Syst., vol. 5, pp. 1-11, Feb. 1990.
8. R. Billinton and P. R. S. Kuruganty, "A probabilistic index for transient stability," IEEE Trans. Power App. Syst., vol. PAS-99, pp. 195-206, Jan./Feb. 1980.
9. P. M. Anderson and A. Bose, "A probabilistic approach to power system stability analysis," IEEE Trans. Power App. Syst., vol. PAS-102, pp. 2430-2439, Aug. 1983.
10. K. J. Timko, A. Bose, and P. M. Anderson, "Monte carlo simulation of power system stability," IEEE Trans. Power App. Syst., vol. PAS-102, pp. 3453-3459, Oct. 1983.
11. F. F. Wu and Y.-K. Tsai, "Probabilistic dynamic security assessment of power systems," IEEE Trans. Circuits Syst. I , vol. CAS-30, pp. 143-159, Mar. 1983.
12. A. M. L. da Silva, J. Endrenyi, and L. Wang, "Inegrated treatment of adequacy and security in bulk power system reliability evaluation," IEEE Trans. Power Syst., vol. 8, pp. 275-285, Feb. 1993.
13. B. Porretta, D. L. Kiguel, G. A. Hamoud, and E. G. Neudorf, "A comprehensive approach for adequacy and security," IEEE Trans. Power Syst., vol. 6, pp. 433-441, May 1998.
14. C. O. Nwankpa, S. M. Shahidehpour, and Z. Schuss, "A stochastic approach to small disturbance stability analysis," IEEE Trans. Power Syst., vol. 7, Apr. 1992.
15. B. C. Lesieutre and J. R. Hockenberry, "Uncertainty analysis of power system simulations and ATC calculations using the probabilistic collocation method," in Bulk Power Systems Dynamics and Control IV - Restructuring, Santorini, Greece, Aug. 1998.
16. I. A. Hiskens, M. A. Pai, and T. B. Nguyen, "Bounding uncertainty in power system dynamic simulations," in Proc. IEEE PES 2000 Winter Meeting, Singapore, Jan. 2000.
17. M. A. Tatang, "Direct incorporation of uncertainty in chemical and environmental sSystems," Ph.D. dissertation, Massachusetts Inst. Technol., Cambridge, 1995.
18. M. Webster, M. A. Tatang, and G. J. McRae, "Application of the probabilistic collocation method for an uncertainty analysis of a simple ocean model," Joint Program on the Science and Policy of Global Change, MIT, Cambridge, MA, Tech. Rep. 4, Jan. 1996.
19. J. R. Hockenberry, "Evaluation of uncertainty in dynamic, reduced-order power system models," Ph.D. dissertation, Massachusetts Inst. Technol., Cambridge, Sept. 2000.
20. P. J. Davis and P. Rabinowitz, Methods of Numerical Integration. New York: Academic, 1975.
21. A. W. Drake, Fundamentals of Applied Probability Theory. New York: McGraw-Hill, 1967.
22. P. Kundur, Power System Stability and Control. New York: McGraw-Hill, 1994.
23. J. V. Milanović and I. A. Hiskens, "Effects of load dynamics in power system damping," IEEE Trans. Power Syst., vol. 10, pp. 1022-1028, May 1995.
24. I. A. Hiskens and J. V. Milanović, "Load modeling in studies of power system damping," IEEE Trans. Power Syst., vol. 10, pp. 1781-1788, Nov. 1995.
25. Y. V. Makarov, V. A. Maslennikov, and D. J. Hill, "Revealing loads having the biggest influence on power system small disturbance stability," IEEE Trans. Power Syst., vol. 11, pp. 2018-2023, Nov. 1996.
26. I. A. Hiskens and J. V. Milanović, "Locating dynamic loads which significantly influence damping," IEEE Trans. Power Syst., vol. 12, pp. 255-261, Feb. 1997.
27. J. V. Milanović, I. A. Hiskens, and V. A. Maslennikov, "Ranking loads in power systems - Comparison of different approaches," IEEE Trans. Power Syst., vol. 14, pp. 614-619, May 1999.
28. G. N. Ramaswamy, L. Rouco, O. Fillâtre, G. C. Verghese, P. Panciatici, B. C. Lesieutre, and D. Peltier, "Synchronic modal equivalencing (SME) for structure-preserving dynamic equivalents," IEEE Trans. Power Syst., vol. 11, pp. 19-29, Feb. 1996.
29. G. N. Ramaswamy, C. Evrard, G. C. Verghese, O. Fillâtre, and B. C. Lesieutre, "Extensions, simplifications, and tests of synchronic modal equivalencing (SME)," IEEE Trans. Power Syst., vol. 12, pp. 896-905, May 1997.
30. G. N. Ramaswamy, "Modal structures and model reduction, with application to power system equivalencing," Ph.D. dissertation, Massachusetts Inst. Technol., Cambridge, June 1995.
31. J. M. Hagee, "Explorations and extensions of synchronic modal equivalencing (SME)," Master's thesis, Massachusetts Inst. Technol., Cambridge, Feb. 1997.
32. J. M. Hagee, B. Ayazifar, G. C. Verghese, and B. C. Lesieutre, "Load bus partitioning for synchronic modal equivalencing (SME ," in 28th North American Power Symp., Nov. 1996, pp. 57-61.