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Statistical bivariate modelling of wind using first-order Markov chain and Weibull distribution

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  • Ettoumi, F.Youcef
  • Sauvageot, H
  • Adane, A.-E.-H

Abstract

This paper studies the statistical features of the wind at Oran (Algeria). The data used are the wind speed and wind direction measurements collected every 3 h at the meteorological station of Es Senia (Oran), during the 1982/92 period. The eight directions of the compass card have been considered to build the frequency distribution of the wind speed for each month of the year and each direction. The three-hourly wind data have been modelled by means of Markov chains. First-order nine-state Markov chains are found to fit well the wind direction data, whereas the related wind speed data are well fitted by first-order three-state Markov chains. The Weibull probability distribution function has also been considered and found to fit the monthly frequency distributions of wind speed measurements. Two methods of wind data retrieval are thus made available. In fact, two models of chronological bi-series are obtained describing wind speed and wind direction.

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  • Ettoumi, F.Youcef & Sauvageot, H & Adane, A.-E.-H, 2003. "Statistical bivariate modelling of wind using first-order Markov chain and Weibull distribution," Renewable Energy, Elsevier, vol. 28(11), pages 1787-1802.
    • Handle: RePEc:eee:renene:v:28:y:2003:i:11:p:1787-1802
    DOI: 10.1016/S0960-1481(03)00019-3
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    1. Khogali, A. & Albar, O.F. & Yousif, B., 1991. "Wind and solar energy potential in Makkah (Saudi Arabia)—Comparison with Red Sea coastal sites," Renewable Energy, Elsevier, vol. 1(3), pages 435-440.
    2. Hasan, Afif, 1992. "Wind energy in West Bank and Gaza Strip," Renewable Energy, Elsevier, vol. 2(6), pages 637-639.
    3. Morgan, Vincent T., 1995. "Statistical distributions of wind parameters at Sydney, Australia," Renewable Energy, Elsevier, vol. 6(1), pages 39-47.
    4. Rehman, Shafiqur & Halawani, Talal Omar, 1994. "Statistical characteristics of wind in Saudi Arabia," Renewable Energy, Elsevier, vol. 4(8), pages 949-956.
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    14. Chellali, Farouk & Khellaf, Adballah & Belouchrani, Adel & Recioui, Abdelmadjid, 2011. "A contribution in the actualization of wind map of Algeria," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(2), pages 993-1002, February.
    15. Kim, Taewan & Song, Jeonghwan & You, Donghyun, 2024. "Optimization of a wind farm layout to mitigate the wind power intermittency," Applied Energy, Elsevier, vol. 367(C).
    16. Rehman, Shafiqur, 2005. "Prospects of wind farm development in Saudi Arabia," Renewable Energy, Elsevier, vol. 30(3), pages 447-463.
    17. Evans, S.P. & Clausen, P.D., 2015. "Modelling of turbulent wind flow using the embedded Markov chain method," Renewable Energy, Elsevier, vol. 81(C), pages 671-678.
    18. Jae Ho Kim & Warren B. Powell, 2011. "Optimal Energy Commitments with Storage and Intermittent Supply," Operations Research, INFORMS, vol. 59(6), pages 1347-1360, December.
    19. D׳Amico, Guglielmo & Petroni, Filippo & Prattico, Flavio, 2015. "Reliability measures for indexed semi-Markov chains applied to wind energy production," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 170-177.
    20. Joselin Herbert, G.M. & Iniyan, S. & Sreevalsan, E. & Rajapandian, S., 2007. "A review of wind energy technologies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 11(6), pages 1117-1145, August.
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    22. 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.
    23. Saleh, H. & Abou El-Azm Aly, A. & Abdel-Hady, S., 2012. "Assessment of different methods used to estimate Weibull distribution parameters for wind speed in Zafarana wind farm, Suez Gulf, Egypt," Energy, Elsevier, vol. 44(1), pages 710-719.
    24. Kerkhove, L.-P. & Vanhoucke, M., 2017. "Optimised scheduling for weather sensitive offshore construction projects," Omega, Elsevier, vol. 66(PA), pages 58-78.

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