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Modelling irradiance on inclined planes with an anisotropic model

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  • Robledo, Luis
  • soler, Alfonso

Abstract

The circumsolar (α=25°) and point-source versions of the simplified Perez model were developed to estimate irradiances on inclined planes from values for horizontal planes through the determination of sets of empirical coefficients. This model has been evaluated by us at Madrid. Mean hourly values of irradiances on vertical surfaces facing north, east, south and west were used. A modification in the structure of the model was made by analyzing separately the data obtained when the surface “sees” or does not “see” the circumsolar disk (for the point-source version, the centre of the disk). The validity of the different versions is assessed statistically using experimental and estimated values for the irradiance. For both the point-source and circumsolar versions, with data for all orientations, the model performs better with local coefficients than with those given by Perez. The accuracy was increased when local coefficients were calculated independently for each orientation. When the surface does not “see” the circumsolar disk (the centre of the disk in the case of the point-source version), the specified data separation produces an equation that is simpler and easier to use than the corresponding equation in the original model while yielding some increase in accuracy.

Suggested Citation

  • Robledo, Luis & soler, Alfonso, 1998. "Modelling irradiance on inclined planes with an anisotropic model," Energy, Elsevier, vol. 23(3), pages 193-201.
    • Handle: RePEc:eee:energy:v:23:y:1998:i:3:p:193-201
    DOI: 10.1016/S0360-5442(97)00083-2
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    Cited by:

    1. Cheng, C.L. & Chan, C.Y. & Chen, C.L., 2006. "An empirical approach to estimating monthly radiation on south-facing tilted planes for building application," Energy, Elsevier, vol. 31(14), pages 2940-2957.
    2. 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.
    3. Cheng, C.L. & Chan, C.Y. & Chen, C.L., 2005. "Empirical approach to BIPV evaluation of solar irradiation for building applications," Renewable Energy, Elsevier, vol. 30(7), pages 1055-1074.
    4. Hsu-Yung Cheng & Chih-Chang Yu & Kuo-Chang Hsu & Chi-Chang Chan & Mei-Hui Tseng & Chih-Lung Lin, 2019. "Estimating Solar Irradiance on Tilted Surface with Arbitrary Orientations and Tilt Angles," Energies, MDPI, vol. 12(8), pages 1-14, April.
    5. Grażyna Frydrychowicz-Jastrzębska & Artur Bugała, 2015. "Modeling the Distribution of Solar Radiation on a Two-Axis Tracking Plane for Photovoltaic Conversion," Energies, MDPI, vol. 8(2), pages 1-17, January.
    6. Soler, A & Gopinathan, K.K & Claros, S.T, 2001. "A study on zenith luminance on Madrid overcast skies," Renewable Energy, Elsevier, vol. 23(1), pages 49-55.
    7. Notton, Gilles & Paoli, Christophe & Ivanova, Liliana & Vasileva, Siyana & Nivet, Marie Laure, 2013. "Neural network approach to estimate 10-min solar global irradiation values on tilted planes," Renewable Energy, Elsevier, vol. 50(C), pages 576-584.
    8. Robledo, Luis & Soler, Alfonso, 2000. "Luminous efficacy of direct solar radiation for clear skies," Energy, Elsevier, vol. 25(8), pages 689-701.
    9. Ruiz, Enrique & Soler, Alfonso & Robledo, Luis, 2002. "Comparison of the Olmo model with global irradiance measurements on vertical surfaces at Madrid," Energy, Elsevier, vol. 27(10), pages 975-986.
    10. Robledo, L & Soler, A, 2000. "Estimation of direct illuminance on a horizontal surface for clear and intermediate skies," Renewable Energy, Elsevier, vol. 19(1), pages 55-60.
    11. Notton, Gilles & Paoli, Christophe & Vasileva, Siyana & Nivet, Marie Laure & Canaletti, Jean-Louis & Cristofari, Christian, 2012. "Estimation of hourly global solar irradiation on tilted planes from horizontal one using artificial neural networks," Energy, Elsevier, vol. 39(1), pages 166-179.
    12. Dahmani, Kahina & Dizene, Rabah & Notton, Gilles & Paoli, Christophe & Voyant, Cyril & Nivet, Marie Laure, 2014. "Estimation of 5-min time-step data of tilted solar global irradiation using ANN (Artificial Neural Network) model," Energy, Elsevier, vol. 70(C), pages 374-381.
    13. Soler, A & Gopinathan, K.K, 2001. "Analysis of zenith luminance data for all sky conditions," Renewable Energy, Elsevier, vol. 24(2), pages 185-196.

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