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Luminous efficacy of direct solar radiation for all sky types

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  • Robledo, Luis
  • Soler, Alfonso

Abstract

Three models for the luminous efficacy of direct solar radiation on a horizontal surface, valid for all sky conditions, have been developed in the present work, and two of them are proposed. In all the models a function for the direct luminous efficacy for all sky conditions relative to the direct luminous efficacy for clear skies is obtained, using the function for the direct luminous efficacy for clear skies given in a previous work, and the brightness index as a new independent variable. One of the two models is obtained by fitting the values of the relative luminous efficacy as a function of the brightness index. The other proposed model is developed by obtaining in the first place models for direct illuminance and direct irradiance, both relative to the corresponding clear sky models, and then finding the ratio between the relative direct illuminance and irradiance models. Statistical assessment of the direct illuminance values estimated with the proposed models gives similar values for the MBE and the RMSE. However, the model obtained from illuminance and irradiance models is mathematically coherent.

Suggested Citation

  • Robledo, Luis & Soler, Alfonso, 2001. "Luminous efficacy of direct solar radiation for all sky types," Energy, Elsevier, vol. 26(7), pages 669-677.
    • Handle: RePEc:eee:energy:v:26:y:2001:i:7:p:669-677
    DOI: 10.1016/S0360-5442(01)00025-1
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    1. Robledo, Luis & Soler, Alfonso, 2000. "Luminous efficacy of direct solar radiation for clear skies," Energy, Elsevier, vol. 25(8), pages 689-701.
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    1. Janjai, S. & Prathumsit, J. & Buntoung, S. & Wattan, R. & Pattarapanitchai, S. & Masiri, I., 2014. "Modeling the luminous efficacy of direct and diffuse solar radiation using information on cloud, aerosol and water vapor in the tropics," Renewable Energy, Elsevier, vol. 66(C), pages 111-117.
    2. Barbón, A. & Sánchez-Rodríguez, J.A. & Bayón, L. & Barbón, N., 2018. "Development of a fiber daylighting system based on a small scale linear Fresnel reflector: Theoretical elements," Applied Energy, Elsevier, vol. 212(C), pages 733-745.
    3. Cucumo, M. & De Rosa, A. & Ferraro, V. & Kaliakatsos, D. & Marinelli, V., 2010. "Correlations of direct solar luminous efficacy for all sky, clear sky and intermediate sky conditions and comparisons with experimental data of five localities," Renewable Energy, Elsevier, vol. 35(10), pages 2143-2156.
    4. Li, Danny H.W. & Lou, Siwei, 2018. "Review of solar irradiance and daylight illuminance modeling and sky classification," Renewable Energy, Elsevier, vol. 126(C), pages 445-453.
    5. Robledo, L. & Soler, A., 2002. "A simple clear skies model for the luminous efficacy of diffuse solar radiation on inclined surfaces," Renewable Energy, Elsevier, vol. 26(2), pages 169-176.
    6. Li, Danny H.W., 2010. "A review of daylight illuminance determinations and energy implications," Applied Energy, Elsevier, vol. 87(7), pages 2109-2118, July.
    7. Li, Danny H.W. & Lam, Tony N.T. & Cheung, K.L. & Tang, H.L., 2008. "An analysis of luminous efficacies under the CIE standard skies," Renewable Energy, Elsevier, vol. 33(11), pages 2357-2365.

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