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Empirical modeling of hourly direct irradiance by means of hourly global irradiance

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  • Batlles, F.J.
  • Rubio, M.A.
  • Tovar, J.
  • Olmo, F.J.
  • Alados-Arboledas, L.

Abstract

A very important factor in the assessment of solar energy resources is the availability of direct irradiance data of high quality. Nevertheless, this quantity is seldom measured and thus must be estimated from measures of global solar irradiance, a quantity that is registered in most radiometric stations. In this work we analyze the results provided by different models in the estimation of hourly direct irradiance values. We have selected several models proposed by Orgill and Hollands, Erbs et al., Reindl et al., Skarveit and Olseth, Maxwell, and Louche et al. With the exception of the model from Louche et al. that estimates direct irradiance values from direct transmittance values, all of the models estimate direct irradiance from the diffuse fraction. The data set used in this study comprises 25 000 hourly values of global and diffuse irradiance. These values were registered in six Spanish locations with different climatic conditions. The results provided by the model depend on the clearness index, kt, and the solar elevation. The best results are obtained for cloudless skies and higher solar elevation. In those conditions we can estimate the direct irradiance with a root square mean error close to 14% of the average measured value. We have estimated the direct irradiance under cloudless sky conditions using a parametric model proposed by Iqbal. In order to analyze the effect of turbidity on the estimation of direct irradiance we have compared the results obtained by the parametric model when using hourly values of the Angstrom turbidity parameter β with those obtained when using monthly means of hourly values of β.

Suggested Citation

  • Batlles, F.J. & Rubio, M.A. & Tovar, J. & Olmo, F.J. & Alados-Arboledas, L., 2000. "Empirical modeling of hourly direct irradiance by means of hourly global irradiance," Energy, Elsevier, vol. 25(7), pages 675-688.
    • Handle: RePEc:eee:energy:v:25:y:2000:i:7:p:675-688
    DOI: 10.1016/S0360-5442(00)00007-4
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    References listed on IDEAS

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    1. Chendo, M.A.C. & Maduekwe, A.A.L., 1994. "Hourly distributions of global and diffuse solar radiation in Lagos, Nigeria," Renewable Energy, Elsevier, vol. 4(1), pages 101-108.
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    2. Jebaraj, S. & Iniyan, S., 2006. "A review of energy models," Renewable and Sustainable Energy Reviews, Elsevier, vol. 10(4), pages 281-311, August.
    3. Hocaoglu, Fatih Onur & Serttas, Fatih, 2017. "A novel hybrid (Mycielski-Markov) model for hourly solar radiation forecasting," Renewable Energy, Elsevier, vol. 108(C), pages 635-643.
    4. Vivar, M. & Fuentes, M. & Norton, M. & Makrides, G. & de Bustamante, I., 2014. "Estimation of sunshine duration from the global irradiance measured by a photovoltaic silicon solar cell," Renewable and Sustainable Energy Reviews, Elsevier, vol. 36(C), pages 26-33.
    5. Vasilj, J. & Sarajcev, P. & Jakus, D., 2016. "Estimating future balancing power requirements in wind–PV power system," Renewable Energy, Elsevier, vol. 99(C), pages 369-378.
    6. Kambezidis, H.D. & Psiloglou, B.E. & Karagiannis, D. & Dumka, U.C. & Kaskaoutis, D.G., 2017. "Meteorological Radiation Model (MRM v6.1): Improvements in diffuse radiation estimates and a new approach for implementation of cloud products," Renewable and Sustainable Energy Reviews, Elsevier, vol. 74(C), pages 616-637.
    7. Torres, J.L. & De Blas, M. & García, A. & de Francisco, A., 2010. "Comparative study of various models in estimating hourly diffuse solar irradiance," Renewable Energy, Elsevier, vol. 35(6), pages 1325-1332.
    8. Guo, Siyu & Walsh, Timothy Michael & Peters, Marius, 2013. "Vertically mounted bifacial photovoltaic modules: A global analysis," Energy, Elsevier, vol. 61(C), pages 447-454.
    9. El Mghouchi, Y. & Ajzoul, T. & Taoukil, D. & El Bouardi, A., 2016. "The most suitable prediction model of the solar intensity, on horizontal plane, at various weather conditions in a specified location in Morocco," Renewable and Sustainable Energy Reviews, Elsevier, vol. 54(C), pages 84-98.
    10. Rivero, M. & Orozco, S. & Sellschopp, F.S. & Loera-Palomo, R., 2017. "A new methodology to extend the validity of the Hargreaves-Samani model to estimate global solar radiation in different climates: Case study Mexico," Renewable Energy, Elsevier, vol. 114(PB), pages 1340-1352.
    11. Zhang, Xiongwen, 2014. "A statistical approach for sub-hourly solar radiation reconstruction," Renewable Energy, Elsevier, vol. 71(C), pages 307-314.
    12. Wong, L. T. & Chow, W. K., 2001. "Solar radiation model," Applied Energy, Elsevier, vol. 69(3), pages 191-224, July.
    13. El Mghouchi, Y. & El Bouardi, A. & Choulli, Z. & Ajzoul, T., 2016. "Models for obtaining the daily direct, diffuse and global solar radiations," Renewable and Sustainable Energy Reviews, Elsevier, vol. 56(C), pages 87-99.
    14. Nikitidou, E. & Kazantzidis, A. & Salamalikis, V., 2014. "The aerosol effect on direct normal irradiance in Europe under clear skies," Renewable Energy, Elsevier, vol. 68(C), pages 475-484.
    15. El Mghouchi, Y. & El Bouardi, A. & Sadouk, A. & Fellak, I. & Ajzoul, T., 2016. "Comparison of three solar radiation models and their validation under all sky conditions – case study: Tetuan city in northern of Morocco," Renewable and Sustainable Energy Reviews, Elsevier, vol. 58(C), pages 1432-1444.
    16. Alonso, J. & Batlles, F.J. & López, G. & Ternero, A., 2014. "Sky camera imagery processing based on a sky classification using radiometric data," Energy, Elsevier, vol. 68(C), pages 599-608.
    17. Polo, J. & Antonanzas-Torres, F. & Vindel, J.M. & Ramirez, L., 2014. "Sensitivity of satellite-based methods for deriving solar radiation to different choice of aerosol input and models," Renewable Energy, Elsevier, vol. 68(C), pages 785-792.
    18. Arias-Rosales, Andrés & LeDuc, Philip R., 2020. "Modeling the transmittance of anisotropic diffuse radiation towards estimating energy losses in solar panel coverings," Applied Energy, Elsevier, vol. 268(C).

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