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Statistical analysis of solar measurements in Algeria using beta distributions

Author

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  • Youcef Ettoumi, F.
  • Mefti, A.
  • Adane, A.
  • Bouroubi, M.Y.

Abstract

A method of smoothing solar data by beta probability distributions is implemented in this paper. In the first step, this method has been used to process daily sunshine duration data recorded at thirty-three meteorological stations in Algeria for eleven year periods or more. In the second step, it has been applied to hourly global solar irradiation flux measured in Algiers during the 1987/89 period. For each location and each month of the year, beta probability density functions fitting the monthly frequency distributions of the daily sunshine duration measurements are obtained. Both the parameters characterising the resulting beta distributions are then mapped, enabling us to build the frequency distributions of sunshine duration for every site in Algeria. In the case of solar radiation for Algiers, the recorded data have been processed following two different ways. The first one consists in sorting the hourly global solar irradiation data into eight typical classes of the daily clearness index. The second one is based on the repartition of these data per month. The results of the first classification show that for each class of daily clearness index, the hourly data under consideration are modelled by only one beta distribution. When using the second classification, linear combinations of two beta distributions are found to fit the monthly frequency distributions of the hourly solar radiation data.

Suggested Citation

  • Youcef Ettoumi, F. & Mefti, A. & Adane, A. & Bouroubi, M.Y., 2002. "Statistical analysis of solar measurements in Algeria using beta distributions," Renewable Energy, Elsevier, vol. 26(1), pages 47-67.
    • Handle: RePEc:eee:renene:v:26:y:2002:i:1:p:47-67
    DOI: 10.1016/S0960-1481(01)00100-8
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    References listed on IDEAS

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    1. Festa, R. & Jain, S. & Ratto, C.F., 1992. "Stochastic modelling of daily global irradiation," Renewable Energy, Elsevier, vol. 2(1), pages 23-34.
    2. De Miguel, A. & Bilbao, J. & Salsón, S. & Lage, A., 1994. "Solar radiation and sunshine hour maps in Castilla and León region (Spain)," Renewable Energy, Elsevier, vol. 4(8), pages 933-940.
    3. Loutfi, H. & Khtira, A., 1992. "Stochastic analysis and generation of synthetic sequences of daily global solar irradiation: Rabat site (Morocco)," Renewable Energy, Elsevier, vol. 2(2), pages 129-138.
    4. Alnaser, W.E., 1993. "New model to estimate the solar global irradiation using astronomical and meteorological parameters," Renewable Energy, Elsevier, vol. 3(2), pages 175-177.
    5. Hay, John E., 1993. "Calculating solar radiation for inclined surfaces: Practical approaches," Renewable Energy, Elsevier, vol. 3(4), pages 373-380.
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