Abstract

GIRADO-POLO, Carlos  and  GONIMA-GONIMA, Leonardo. Theoretical algorithm for estimating global solar radiation for a cloudless atmosphere. Rev. acad. colomb. cienc. exact. fis. nat. [online]. 2018, vol.42, n.162, pp.104-113. ISSN 0370-3908.  https://doi.org/10.18257/raccefyn.610.

In this work we developed an algorithm to estimate global solar radiation for a cloudless atmosphere, by using the shortwave radiative transfer equations (0.3 μm - 2.8 μm). Spectral transmittances of direct solar radiation due to Rayleigh and Mie scattering were determined. In order to estimate the Ångström turbidity coefficient, the Aerosol Optical Depth (AOD) was calculated for four different types of atmospheres, using the software Optical Properties of Aerosols and Clouds (OPAC). Likewise, spectral transmittances due to absorption of direct solar radiation were calculated, including aerosols, water vapor, carbon dioxide and dry air (mixed gases). The ozone content was obtained from daily data of NASA’s database. For the diffuse component of solar radiation, a new equation was developed for the calculation of the spectral forward scattering fraction. The statistical comparison between the results obtained with the model developed here, the measured global solar radiation data at Potsdam radiation station in Germany and the results of other three radiative models, between 2012 and 2014, shows that the new model allows to calculate the hourly global solar radiation with sufficient precision.

Keywords : Theoretical modelling; Global solar radiation; Aerosol Optical Depth; Spectral forward scattering fraction; Direct solar radiation; Diffuse solar radiation..

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