Point estimate schemes to solve the probabilistic power flow

IEEE Transactions on Power Systems

Volumn 22, Issue 4, 2007, Pages 1594-1601

  Morales, Juan M ^a   Pérez Ruiz, Juan ^b  

^a UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^b UNIVERSITY OF MÁLAGA   (Spain)

Author keywords

Modeling; Monte Carlo methods; Monte Carlo simulation; Point estimate methods; Power distribution control; Power flow analysis; Power system modeling; Uncertainty; Uncertainty handling

Indexed keywords

COMPUTER SIMULATION; ELECTRIC LOAD FLOW; MONTE CARLO METHODS; NORMAL DISTRIBUTION; OUTAGES; RANDOM VARIABLES;

POINT ESTIMATE METHOD; POWER SYSTEM MODELING; PROBABILISTIC POWER FLOW;

ELECTRIC POWER DISTRIBUTION;

EID: 36349017867     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2007.907515     Document Type: Article

References (35)

1. G. J. Anders, Probability Concepts in Electric Power Systems. New York: Wiley, 1990.
2. A. R. Bergen, Power Systems Analysis, ser. Electrical and Computer Engineering. Englewood Cliffs, NJ: Prentice-Hall, 1986.
3. A. J. Wood and B. F. Wollenberg, Power Generation Operation and Control. New York: Wiley, 1996.
4. B. Borkowska, "Probabilistic load flow," IEEE Trans. Power App. Syst., vol. PAS-93, pp. 752-759, 1974.
5. J. F. Dopazo, O. A. Klitin, and A. M. Sasson, "Stochastic load flows," IEEE Trans. Power App. Syst., vol. PAS-94, pp. 299-309, 1975.
6. Y.-K. Tung and B.-C. Yen, Hydrosystems Engineering Uncertainty Analysis. New York: McGraw-Hill, 2005.
7. R. Y. Rubinstein, Simulation and the Monte Carlo Method. New York: Wiley, 1981.
8. R. N. Allan and A. M. Leite da Silva, "Probabilistic load flow using multilinearizations," Proc. Inst. Elect. Eng. C: Gen., Transm., Distrib., vol. 128, no. 5, pp. 280-287, 1981.
9. A. P. S. Mehopoulos, G. J. Cokkinides, and X. Y. Chao, "A new probabilistic power flow analysis method," IEEE Trans. Power Syst. vol. 5, no. 1, pp. 182-190, Feb. 1990.
10. R. N. Allan, A. M. Leite da Silva, and R. C. Burchett, "Evaluations methods and accuracy in probabilistic load flow solutions," IEEE Trans. PowerApp. Syst., vol. PAS-100, pp. 2539-2546, May 1981.
11. R. N. Allan and M. R. G. Al-Shakarchi, "Probabilistic techniques in a.c. load flow analysis," Proc. IEEE, vol. 124, no. 2, pp. 154-160, Feb. 1977.
12. P. Zhang and S. T. Lee, "Probabilistic load flow computation using the method of combined cumulants and Gram-Charlier expansion," IEEE Trans. Power Syst., vol. 19, no. 1, pp. 676-682, Feb. 2004.
13. L. A. Sanabria and T. S. Dillon, "Stochastic power flow using cumulants and von Mises functions," Int. J. Elect. Power Energy Syst., vol. 8, no. 1, pp. 47-60, 1986.
14. V. Miranda, M. A. Matos, and J. T. Saraiva, "Fuzzy load flow new algorithms incorporating uncertain generation and load representation," in Proc. 10th Power System Computation Conf., Graz, Austria, 1990, pp. 621-627.
15. A. M. Leite da Silva, V. L. Arienti, and R. N. Allan, "Probabilistic load flow considering dependence between input nodal powers," IEEE Trans. Power App. Syst., vol. PAS-103, pp. 1524-1530, Jun. 1984.
16. A. M. Leite da Silva and V. L. Arienti, "Probabilistic load flow by a multilinear simulation algorithm," Proc. Inst. Elect. Eng. C: Gen., Transm., Distrib., vol. 137, no. 4, pp. 276-282, Jul. 1990.
17. M. Madrigal, K. Ponnambalam, and V. H. Quintana, "Probabilistic optimal power flow," in Proc. 1998 IEEE Can. Conf. Electrical and Computer Engineering, Waterloo, ON, Canada, May 1998, pp. 385-388.
18. E. Rosenblueth, "Point estimates for probability moments," Proc. Nat. Acad. Sci., vol. 72, pp. 3812-3814, Oct. 1975.
19. E. Rosenblueth, "Two-point estimates in probability," Appl. Math. Model., vol. 5, pp. 329-335, Oct. 1981.
20. K. S. Li, "Point-estimate method for calculating statistical moments," J. Eng. Mech.-ASCE, vol. 118, no. 7, pp. 1506-1511, 1992.
21. H. S. Seo and B. M. Kwak, "Efficient statistical tolerance analysis for general distributions using three-point information," Int. J. Prod. Res., vol. 40, no. 4, pp. 931-944, 2002.
22. C. W. Tsai and S. Franceschini, "Evaluation of probabilistic point estimate methods in uncertainty analysis for environmental engineering applications," J. Environ. Eng.-ASCE, vol. 131, no. 3, pp. 387-395, 2005.
23. W. Liping, 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 Conf., Albany, NY, Aug.-Sep. 30-1, 2004.
24. M. E. Harr, "Probabilistic estimates for multivariate analysis," Appl. Math. Model., vol. 13, no. 5, pp. 313-318, 1989.
25. H. P. Hong, "An efficient point estimate method for probabilistic analysis," Reliab. Eng. Syst. Saf., vol. 59, pp. 261-267, 1998.
26. C.-L. Su, "A new probabilistic load flow method," in Proc. IEEE Power Eng. Soc. General Meeting, Jun. 2005, pp. 1795-1800.
27. C.-L. Su, "Probabilistic load-flow computation using point estimate method," IEEE Trans. Power Syst., vol. 20, no. 4, pp. 1843-1851, Nov. 2005.
28. G. Verbič and C. A. Cañizares, "Probabilistic optimal power flow in electricity markets based on a two-point estimate method," IEEE Trans. Power Syst., vol. 21, no. 4, pp. 1883-1893, Nov. 2006.
29. A. C. Miller and T. R. Rice, "Discrete approximations of probability distributions," Manage. Sci., vol. 29, no. 3, pp. 352-362, Mar. 1983.
30. J. M. Morales, Application of Point Estimate Methods to Probabilistic Power Flow Problem (in Spanish). Málaga, Spain: E. T. S. Ingenieros Industriales. Univ. Málaga, 2006.
31. J. T. Christian and G. B. Baecher, "The point-estimate method with large numbers of variables," Int. J. Numer. Anal. Meth. Geomech., vol. 26, pp. 1515-1529, 2002.
32. M. G. Kendall and A. Stuart, The Advanced Theory of Statistics. Volume 1. Distribution Theory. London, U.K.: Charles Griffin, 1963.
33. Power Systems Test Case Archive. [Online]. Available: http:// www.ee.washington.edu/research/pstca.
34. L. A. Sanabria and T. S. Dillon, "Power system reliability assessment suitable for a deregulated system via the method of cumulants," Int. J. Elect. Power Energy Syst., vol. 20, no. 3, pp. 203-211, 1998.
35. R. Zimmerman, C. Murillo-Sánchez, and D. Gan, MATPOWER, a MATLAB Power System Simulation Package, 3.0.0. ed. Ithaca, NY: Cornell University: Power System Engineering Research Center (PSERC), School of Electrical Engineering, 2005.