Comparison between two probabilistic load flow methods for reliability assessment

2009 IEEE Power and Energy Society General Meeting, PES '09

Volumn , Issue , 2009, Pages

  Li, Gan ^a   Zhang, Xiao Ping ^a  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

Cumulant; Gram Charlier series; Point estimate; Power system reliability; Probabilistic load flow

Indexed keywords

CUMULANTS; GRAM-CHARLIER SERIES; POINT ESTIMATE; POWER SYSTEM RELIABILITY; PROBABILISTIC LOAD FLOW;

APPROXIMATION THEORY; ELECTRIC POWER TRANSMISSION NETWORKS; POTENTIAL ENERGY; POTENTIAL ENERGY SURFACES; RELIABILITY ANALYSIS;

ELECTRIC LOAD FLOW;

EID: 71849111312     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/PES.2009.5275534     Document Type: Conference Paper

References (30)

1. W. Li and P. Choudhury, "Probabilistic Transmission Planning," Power and Energy Magazine, IEEE, vol. 5, pp. 46-53, 2007.
2. B. Borkowska, "Probabilistic Load Flow," IEEE Transactions on Power Apparatus and Systems, vol. PAS-93, pp. 752-759, 1974.
3. R. N. Allan, B. Borkowska, and C. H. Grigg, "Probabilistic Analysis of Power Flows," Proc. Inst. Elect. Eng., vol. 121, no 12, pp. 1551-1556, December 1974.
4. R. N. Allan and M. R. G. Al-Shakarchi, "Probabilistic Techniques in A.C. Load-Flow Analysis," Proc. Inst. Elect. Eng., vol. 124, pp. 154-160, Feb. 1977.
5. R. N. Allan and A. M. L. Dasilva, "Probabilistic Load Flow Using Multilinearizations," IEE Proceedings-C Generation Transmission and Distribution, vol. 128, pp. 280-287, 1981.
6. A. M. L. d. Silva, V. L. Arienti, and R. N. Allan, "Probabilistic Load Flow Considering Dependence Between Input Nodal Powers," IEEE Transactions on Power Apparatus and Systems, vol. PAS-103, pp. 1524-1530, 1984.
7. M. Brucoli and F. Torelli, "Quadratic Probabilistic Load Flow with Linearly Modeled Dispatch," International Journal of Electrical Power & Energy Systems, vol. 7, pp. 138-146, 1985.
8. A. M. L. Dasilva, R. N. Allan, S. M. Soares, and V. L. Arienti, "Probabilistic Load Flow Considering Network Outages," IEE Proceedings-C Generation Transmission and Distribution, vol. 132, pp. 139-145, 1985.
9. A. M. L. d. Silva and V. L. Arienti, "Probabilistic Load Flow by a Multilinear Simulation Algorithm," IEE Proceedings Generation, Transmission and Distribution, vol. 137, pp. 276-282, 1990.
10. L. A. Sanabria and T. S. Dillon, "Stochastic Power Flow Using Cumulants and Von Mises Functions," International Journal of Electrical Power & Energy Systems, vol. 8, pp. 47-60, 1986.
11. S. Patra and R. B. Misra, "Probabilistic Load Flow Solution Using Method of Moments," In Proc. 2nd International Conference on Advances in Power System Control, Operation & Management, vol. 1 and 2, pp. 922-934 & 991, 1993.
12. P. Zhang and S. T. Lee, "Probabilistic Load Flow Computation Using the Method of Combined Cumulants and Gram-Charlier Expansion," IEEE Transactions on Power Systems, vol. 19, pp. 676-682, 2004.
13. Z. Hu and X. Wang, "A Probabilistic Load Flow Method Considering Branch Outages," IEEE Transactions on Power Systems, vol. 21, pp. 507-514, 2006.
14. L. Miao, D. Zhaoyang, and S. T. Kumar, "A Probabilistic Load Flow Method Considering Transmission Network Contingency," in Proc. 2007 IEEE Power Engineering Society General Meeting, 2007, pp. 1-6.
15. M. Madrigal, K. Ponnambalam, and V. H. Quintana, "Probabilistic optimal power flow," In Proc. University and Industry - Partners in Success, Conference, vols 1-2, pp. 385-388 & 939, 1998.
16. C.-L. Su, "Probabilistic Load-Flow Computation Using Point Estimate Method," IEEE Transactions on Power Systems, vol. 20, pp. 1843-1851, 2005.
17. J. M. Morales and J. Perez-Ruiz, "Point Estimate Schemes to Solve the Probabilistic Power Flow," IEEE Transactions on Power Systems, vol. 22, pp. 1594-1601, 2007.
18. M. T. Schilling, A. M. Leite da Silva, R. Billinton, and M. A. El-Kady, "Bibliography on Power System Probabilistic Analysis (1962-88)," IEEE Transactions on Power Systems, vol. 5, pp. 1-11, 1990.
19. R. Billinton and W. Li, Reliability Assessment of Electric Power Systems Using Monte Carlo Methods. New York: Plenum, 1994.
20. P. Jirutitijaroen and C. Singh, "Comparison of Simulation Methods for Power System Reliability Indexes and Their Distributions," IEEE Transactions on Power Systems, vol. 23, pp. 486-493, 2008.
21. R. N. Allan, A. M. Leite da Silva, and R. C. Burchett, "Evaluation Methods and Accuracy in Probabilistic Load Flow Solutions," IEEE Transactions on Power Apparatus and Systems, vol. PAS-100, pp. 2539-2546, 1981.
22. X. Wang and J. McDonald, Modern Power System Planning. Dallas: Mcgraw-Hill (Tx), 1994.
23. J. E. Kolassa, Series Approximation Methods in Statistics, 3rd ed. New York: Springer, 2006.
24. R. Von Mises, Mathematical Theory of Probability and Statistics. New York: Academic Press, 1964.
25. K. S. Li, "Point-Estimate Method for Calculating Statistical Moments," Journal of Engineering Mechanics-ASCE, vol. 118, pp. 1506-1511, Jul 1992.
26. H. P. Hong, "An Efficient Point Estimate Method for Probabilistic Analysis," Reliability Engineering & System Safety, vol. 59, pp. 261-267, Mar 1998.
27. Y. G. Zhao and T. Ono, "New Point Estimates for Probability Moments," Journal of Engineering Mechanics-ASCE, vol. 126, pp. 433-436, Apr 2000.
28. L. Wang, D. Beeson, and G. Wiggs, "Efficient and Accurate Point Estimate Method for Moments and Probability Distribution Estimation," In Proc. 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Albany, New York, Aug. 30-1, 2004, pp. 693-703.
29. E. Rosenblueth, "Point Estimates for Probability Moments," Proceedings of the National Academy of Sciences of the United States of America, vol. 72, pp. 3812-3814, 1975.
30. A. C. Miller and T. R. Rice, "Discrete Approximations of Probability-Distributions," Management Science, vol. 29, pp. 352-362, 1983.