Probabilistic load flow with wind production uncertainty using cumulants and Cornish-Fisher expansion

International Journal of Electrical Power and Energy Systems

Volumn 31, Issue 9, 2009, Pages 474-481

  Usaola, Julio ^a  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

Author keywords

Cornish Fisher expansion series; Cumulants; Probabilistic load flow; Wind generation

Indexed keywords

CORNISH-FISHER EXPANSION; CORNISH-FISHER EXPANSION SERIES; CUMULANTS; GRAM-CHARLIER SERIES; IN-NETWORK; NON-GAUSSIAN; PROBABILISTIC LOAD FLOW; PROBABILITY DENSITY FUNCTION (PDF); PRODUCTION UNCERTAINTY; WIND GENERATION;

ELECTRIC LOAD FLOW; GAUSSIAN NOISE (ELECTRONIC); PROBABILITY DISTRIBUTIONS;

PROBABILITY DENSITY FUNCTION;

EID: 69749122848     PISSN: 01420615     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijepes.2009.02.003     Document Type: Article

References (16)

1. Borkowska B. Probabilistic load flow. IEEE Trans Power App Syst PAS-93 May (1974) 752-759
2. Dopazo J.F. Stochastic load flow. IEEE Trans Power App Syst PAS-94 March (1975) 299-309
3. Allan R.N., Da Silva A.M.L., and Burchett R.C. Evaluation methods and accuracy in probabilistic load flow solutions. IEEE Trans Power App Syst PAS-100 May (1981) 2539-2546
4. Zhang P., and Lee T. Probabilistic load flow computation using the method of combined cumulants and Gram-Charlier expansion. IEEE Trans Power Sys PWRS-19 February (2004) 676-682
5. Hatziargyriou N.D., Karakatsanis T.S., and Papadopoulos M. Probabilistic load flow in distribution systems containing dispersed wind power generation. IEEE Trans Power Sys PWRS-8 February (1993) 159-165
6. González G, Díaz-Guerra B, Soto F, López S, Sánchez I, Usaola J, et al. SIPREÓLICO - wind power prediction tool for the Spanish peninsular power system. In: Proceedings of the CIGRÉ 40th general session and exhibition, París, France; August 2004.
7. Bludszuweit H., Domínguez-Navarro J.A., and Llombart A. Statistical analysis of wind power forecast error. IEEE Trans Power Sys PWRS-23 3 (2008)
8. Usaola, J, Angarita J. Bidding wind energy under uncertainty. In: Proceedings of the 2007 ICCEP, Capri, Italy; May 2007.
9. Papoulis A., and Pillai S.U. Probability, random variables and stochastic processes (2002), McGraw-Hill
10. McCullagh P. Tensor methods in statistics (1987), Chapman and Hall, London
11. Cramer H. Numerical methods of statistics (1946), Princeton University Press, Princeton, NJ
12. Kendall M.G., and Stuart A. The advanced theory of statistics vol. I (1958), Charles Griffin & Co. Ltd., London
13. Blinnikov S., and Moessner R. Expansions for nearly Gaussian distributions. Astron Astrophys Suppl Ser 130 (1998) 193-205
14. Cornish E.A., and Fisher R.A. Moments and cumulants in the specification of distributions. Revue de l'Institut Internat de Statis 4 (1937) 307-320
15. S.R. Jaschke. The Cornish-Fisher-expansion in the context of delta-gamma-normal approximations. http://www.jaschke-net.de/papers/CoFi.pdf. Discussion Paper 54, Sonderforschungsbereich 373, Humboldt-Universität zu Berlin; 2001.
16. IEEE APM Subcommittee. The IEEE reliability test system. IEEE Trans Power Syst 1999;14(3):1010-18.