Atmospheric Broadband Model for Computation of Solar Radiation at the Earth’s Surface. Application to Mediterranean Climate

Abstract—This paper deals with a new broadband atmospheric model designed for predicting the total and diffuse solar radiation incident on the earth’s surface in medium or large-sized coastal or near-coastal cities, under a clear or cloudy sky. The revised solar spectrum is used. The atmospheric transmittance of each atmospheric parameter contributing to solar radiation depletion, water vapor, ozone, uniformly mixed gases, molecules and aerosols, is calculated using parameterized expressions resulting from integrated spectral transmittance functions. The beam and diffuse radiation components are obtained as a function of the specific atmospheric transmittances. The model requires the following parameters as inputs: total water vapor and ozone amount in a vertical column, sunshine duration and the surface albedo. The model has been used for validation purposes at two stations with slightly different characteristics (NOA and Penteli) in the Athens basin, where total and diffuse radiation measurements are available, for a period of 34 months for NOA and 23 for Penteli. The NOA station is located on a small hill (107 m a.m.s.l.) near the center of Athens, while the Penteli station (500 m a.m.s.l.) is situated in a relatively less polluted area in northern Athens. The clear sky part of the model was tested for 70 individual “clear” days with 2-minute intervals, while the whole model was checked with monthly “mean” days and mean hourly values. A close agreement between the calculated and the measured values of total and diffuse solar radiation is observed.

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