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Analytical expressions for estimating sky diffuse irradiance and illuminance on tilted planes for the CIE Standard General Skies

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  • Torres, José Luis
  • García, Ignacio

Abstract

This work proposes a set of analytical expressions for the calculation of the relationship between sky diffuse illuminance on a tilted plane and horizontal plane corresponding to the 15 ISO/CIE standard sky types. Given the parallelism in the angular distribution of sky diffuse radiance and luminance, these expressions can also be used to calculate the diffuse sky irradiance on an inclined plane. The proposed analytical expressions are obtained by adjusting the results of a numerical calculation whose methodology is described in detail in the paper. The use of these analytical expressions significantly reduces the calculation time. It is verified that the relative root-mean-square errors obtained with the analytical expressions are small compared with the use of numerical calculation, ranging from 0.03% to 4.09%, and with a tendency to increase with clear skies and high solar zenith angles.

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  • Torres, José Luis & García, Ignacio, 2021. "Analytical expressions for estimating sky diffuse irradiance and illuminance on tilted planes for the CIE Standard General Skies," Renewable Energy, Elsevier, vol. 174(C), pages 320-335.
    • Handle: RePEc:eee:renene:v:174:y:2021:i:c:p:320-335
    DOI: 10.1016/j.renene.2021.04.059
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    References listed on IDEAS

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    1. Badescu, V., 2002. "3D isotropic approximation for solar diffuse irradiance on tilted surfaces," Renewable Energy, Elsevier, vol. 26(2), pages 221-233.
    2. Kambezidis, H.D. & Psiloglou, B.E. & Karagiannis, D. & Dumka, U.C. & Kaskaoutis, D.G., 2016. "Recent improvements of the Meteorological Radiation Model for solar irradiance estimates under all-sky conditions," Renewable Energy, Elsevier, vol. 93(C), pages 142-158.
    3. de Simón-Martín, Miguel & Alonso-Tristán, Cristina & Díez-Mediavilla, Montserrat, 2017. "Diffuse solar irradiance estimation on building's façades: Review, classification and benchmarking of 30 models under all sky conditions," Renewable and Sustainable Energy Reviews, Elsevier, vol. 77(C), pages 783-802.
    4. Demain, Colienne & Journée, Michel & Bertrand, Cédric, 2013. "Evaluation of different models to estimate the global solar radiation on inclined surfaces," Renewable Energy, Elsevier, vol. 50(C), pages 710-721.
    5. 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.
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    Cited by:

    1. Yao, Wanxiang & Zhang, Kang & Cao, Weixue & Li, Xianli & Wang, Yan & Wang, Xiao, 2022. "Research on the correlation between solar radiation and sky luminance based on the principle of photothermal integration," Renewable Energy, Elsevier, vol. 194(C), pages 1326-1342.

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