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On the proper analytical expression for the sky-view factor and the diffuse irradiation of a slope for an isotropic sky

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  • Rakovec, Jože
  • Zakšek, Klemen

Abstract

The contribution raises a question of how good is the standard method for estimating the diffuse irradiation on a tilted surface. This is done with a correction of the diffuse irradiation measurement by a sky-view factor. Many different expressions for the sky-view factor can be found in the literature. According to their definitions, the sky-view factor represents the solid angle of the visible celestial hemisphere normalised by the solid angle of whole celestial hemisphere. It considers only a geometrical aspect of the available sky radiation but does not consider the amount of received irradiation in the proper way. To overcome this deficiency, the diffuse irradiation of the horizontal receiving surface (being normally measured) should be multiplied with the proposed diffuse tilt factor to obtain the irradiation of the tilted surface. Besides the orientation of the tilted surface, the diffuse tilt factor depends on ground reflectivity and the ratio between the diffuse and global irradiation of the horizontal surface.

Suggested Citation

  • Rakovec, Jože & Zakšek, Klemen, 2012. "On the proper analytical expression for the sky-view factor and the diffuse irradiation of a slope for an isotropic sky," Renewable Energy, Elsevier, vol. 37(1), pages 440-444.
    • Handle: RePEc:eee:renene:v:37:y:2012:i:1:p:440-444
    DOI: 10.1016/j.renene.2011.06.042
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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.
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    3. Arias-Rosales, Andrés & LeDuc, Philip R., 2020. "Comparing View Factor modeling frameworks for the estimation of incident solar energy," Applied Energy, Elsevier, vol. 277(C).
    4. Ramírez-Faz, J. & López-Luque, R. & Casares, F.J., 2015. "Development of synthetic hemispheric projections suitable for assessing the sky view factor on vertical planes," Renewable Energy, Elsevier, vol. 74(C), pages 279-286.

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