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Stochastic models for sunshine duration and solar irradiation

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  • Jain, P.K.
  • Lungu, E.M.

Abstract

Harmonic analysis of sunshine duration and solar irradiation measured at Sebele, Botswana is carried out. The data used consists of the monthly averages and the Julian-days averages of sunshine duration and solar irradiation sequences. This study involves splitting the time series into deterministic and stochastic components, and determining the proportion of the variance explained by each component. The stochastic component is analyzed for persistence using the Box and Jenkins technique. It is found that the stochastic component for monthly averages solar radiation series is best described by the second-order autoregressive Markov process, while that for Julian-days averages series has no memory.

Suggested Citation

  • Jain, P.K. & Lungu, E.M., 2002. "Stochastic models for sunshine duration and solar irradiation," Renewable Energy, Elsevier, vol. 27(2), pages 197-209.
  • Handle: RePEc:eee:renene:v:27:y:2002:i:2:p:197-209
    DOI: 10.1016/S0960-1481(01)00190-2
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    References listed on IDEAS

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    1. Jain, Pushpendra K. & Nijegorodov, Nikolai & Kartha, C.G., 1994. "Role of solar energy in development in Botswana," Renewable Energy, Elsevier, vol. 4(2), pages 179-188.
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    Cited by:

    1. Jebaraj, S. & Iniyan, S., 2006. "A review of energy models," Renewable and Sustainable Energy Reviews, Elsevier, vol. 10(4), pages 281-311, August.
    2. Zang, Haixiang & Xu, Qingshan & Bian, Haihong, 2012. "Generation of typical solar radiation data for different climates of China," Energy, Elsevier, vol. 38(1), pages 236-248.
    3. Li, Huashan & Ma, Weibin & Lian, Yongwang & Wang, Xianlong, 2010. "Estimating daily global solar radiation by day of year in China," Applied Energy, Elsevier, vol. 87(10), pages 3011-3017, October.
    4. Jain, P.K. & Lungu, E.M. & Prakash, J., 2003. "Bivarate models: relationships between solar irradiation and either sunshine duration or extremum temperatures," Renewable Energy, Elsevier, vol. 28(8), pages 1211-1223.
    5. Bulut, Hüsamettin & Büyükalaca, Orhan, 2007. "Simple model for the generation of daily global solar-radiation data in Turkey," Applied Energy, Elsevier, vol. 84(5), pages 477-491, May.
    6. Mohammad Rayati & Pasquale De Falco & Daniela Proto & Mokhtar Bozorg & Mauro Carpita, 2021. "Generation Data of Synthetic High Frequency Solar Irradiance for Data-Driven Decision-Making in Electrical Distribution Grids," Energies, MDPI, vol. 14(16), pages 1-21, August.
    7. Furlan, Claudia & de Oliveira, Amauri Pereira & Soares, Jacyra & Codato, Georgia & Escobedo, João Francisco, 2012. "The role of clouds in improving the regression model for hourly values of diffuse solar radiation," Applied Energy, Elsevier, vol. 92(C), pages 240-254.

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