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Classification of wind speed distributions using a mixture of Dirichlet distributions

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  • Calif, Rudy
  • Emilion, Richard
  • Soubdhan, Ted

Abstract

Wind energy production is very sensitive to instantaneous wind speed fluctuations. Thus rapid variation of wind speed due to changes in the local meteorological conditions can lead to electrical power variations of the order of the nominal power output. The high variability of this renewable energy source can caused a disruptive effect on power quality and reliability, in non-interconnected island networks as in Guadeloupe (French West Indies). To palliate these difficulties, it is essential to identify and characterize the wind speed distribution over very short time intervals. This allows anticipating the eventuality of power shortage or power surge. Therefore, it is of interest to categorize wind speed fluctuations into distinct classes and to estimate the probability of a distribution to belong to a class. This paper presents a method for classifying wind speed distributions by estimating a finite mixture of Dirichlet distributions. The SAEM algorithm that we use provides a fine distinction between three wind speed distribution classes. It is a new nonparametric method for wind speed classification.

Suggested Citation

  • Calif, Rudy & Emilion, Richard & Soubdhan, Ted, 2011. "Classification of wind speed distributions using a mixture of Dirichlet distributions," Renewable Energy, Elsevier, vol. 36(11), pages 3091-3097.
    • Handle: RePEc:eee:renene:v:36:y:2011:i:11:p:3091-3097
    DOI: 10.1016/j.renene.2011.03.024
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    as
    1. Şahin, Ahmet Z. & Aksakal, Ahmet, 1998. "Wind power energy potential at the northeastern region of Saudi Arabia," Renewable Energy, Elsevier, vol. 14(1), pages 435-440.
    2. Jamil, M. & Parsa, S. & Majidi, M., 1995. "Wind power statistics and an evaluation of wind energy density," Renewable Energy, Elsevier, vol. 6(5), pages 623-628.
    3. Carta, J.A. & Ramírez, P., 2007. "Analysis of two-component mixture Weibull statistics for estimation of wind speed distributions," Renewable Energy, Elsevier, vol. 32(3), pages 518-531.
    4. Ahmed Shata, A.S. & Hanitsch, R., 2006. "The potential of electricity generation on the east coast of Red Sea in Egypt," Renewable Energy, Elsevier, vol. 31(10), pages 1597-1615.
    5. Mihelić-Bogdanić, Alka & Budin, Rajka, 1992. "Specific wind energy as a function of mean speed," Renewable Energy, Elsevier, vol. 2(6), pages 573-576.
    6. Weisser, Daniel & Garcia, Raquel S., 2005. "Instantaneous wind energy penetration in isolated electricity grids: concepts and review," Renewable Energy, Elsevier, vol. 30(8), pages 1299-1308.
    7. Cellura, M. & Cirrincione, G. & Marvuglia, A. & Miraoui, A., 2008. "Wind speed spatial estimation for energy planning in Sicily: Introduction and statistical analysis," Renewable Energy, Elsevier, vol. 33(6), pages 1237-1250.
    8. Nfaoui, H. & Bahraui, J. & Darwish, A.S. & Sayigh, A.A.M., 1991. "Wind energy potential in Morocco," Renewable Energy, Elsevier, vol. 1(1), pages 1-8.
    9. Georgilakis, Pavlos S., 2008. "Technical challenges associated with the integration of wind power into power systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 12(3), pages 852-863, April.
    10. Ngala, G.M. & Alkali, B. & Aji, M.A., 2007. "Viability of wind energy as a power generation source in Maiduguri, Borno state, Nigeria," Renewable Energy, Elsevier, vol. 32(13), pages 2242-2246.
    11. Jaramillo, O.A. & Borja, M.A., 2004. "Wind speed analysis in La Ventosa, Mexico: a bimodal probability distribution case," Renewable Energy, Elsevier, vol. 29(10), pages 1613-1630.
    12. Chang, Tsang-Jung & Wu, Yu-Ting & Hsu, Hua-Yi & Chu, Chia-Ren & Liao, Chun-Min, 2003. "Assessment of wind characteristics and wind turbine characteristics in Taiwan," Renewable Energy, Elsevier, vol. 28(6), pages 851-871.
    13. Ranganathan, C.R. & Ramanathan, M. & Swaminathan, K.R., 1991. "Estimation of wind power availability in Tamil Nadu," Renewable Energy, Elsevier, vol. 1(3), pages 429-434.
    14. Scerri, E. & Farrugia, R., 1996. "Wind data evaluation in the Maltese Islands," Renewable Energy, Elsevier, vol. 7(1), pages 109-114.
    15. Mathew, Sathyajith & Pandey, K.P. & Kumar.V, Anil, 2002. "Analysis of wind regimes for energy estimation," Renewable Energy, Elsevier, vol. 25(3), pages 381-399.
    16. Pallabazzer, Rodolfo, 2004. "Previsional estimation of the energy output of windgenerators," Renewable Energy, Elsevier, vol. 29(3), pages 413-420.
    17. Carta, J.A. & Ramírez, P. & Velázquez, S., 2009. "A review of wind speed probability distributions used in wind energy analysis: Case studies in the Canary Islands," Renewable and Sustainable Energy Reviews, Elsevier, vol. 13(5), pages 933-955, June.
    18. Chinnasamy, T.V. & Haridasan, T.M., 1991. "Wind energy potential at Palkalainagar," Renewable Energy, Elsevier, vol. 1(5), pages 815-821.
    19. Algifri, Abdulla H., 1998. "Wind energy potential in Aden-Yemen," Renewable Energy, Elsevier, vol. 13(2), pages 255-260.
    20. Hu, Ssu-yuan & Cheng, Jung-ho, 2007. "Performance evaluation of pairing between sites and wind turbines," Renewable Energy, Elsevier, vol. 32(11), pages 1934-1947.
    21. Chang, Tsang-Jung & Tu, Yi-Long, 2007. "Evaluation of monthly capacity factor of WECS using chronological and probabilistic wind speed data: A case study of Taiwan," Renewable Energy, Elsevier, vol. 32(12), pages 1999-2010.
    22. Sopian, K. & Othman, M.Y.Hj. & Wirsat, A., 1995. "The wind energy potential of Malaysia," Renewable Energy, Elsevier, vol. 6(8), pages 1005-1016.
    23. Mayhoub, A.B. & Azzam, A., 1997. "A survey on the assessment of wind energy potential in Egypt," Renewable Energy, Elsevier, vol. 11(2), pages 235-247.
    24. Nasir, S.M. & Raza, S.M. & Jafri, Yasmin Zahra, 1991. "Wind energy estimation at Quetta," Renewable Energy, Elsevier, vol. 1(2), pages 263-267.
    25. Cellura, M. & Cirrincione, G. & Marvuglia, A. & Miraoui, A., 2008. "Wind speed spatial estimation for energy planning in Sicily: A neural kriging application," Renewable Energy, Elsevier, vol. 33(6), pages 1251-1266.
    26. Shabbaneh, Rateb & Hasan, Afif, 1997. "Wind energy potential in Palestine," Renewable Energy, Elsevier, vol. 11(4), pages 479-483.
    27. Ramachandra, T.V. & Subramanian, D.K. & Joshi, N.V., 1997. "Wind energy potential assessment in Uttara Kannada district of Karnataka, India," Renewable Energy, Elsevier, vol. 10(4), pages 585-611.
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