Title

Mathermatically integrable parameterization of clear-sky beam and global irradiances and its use in daily irradiation applications

Abstract

A simple parameterized clear-sky short-wave irradiance model is derived from a detailed two-band physical model presented earlier. The inputs for the parameterized model (called PSIM) are the solar elevation, the amount of precipitable water (w), the Angström turbidity coefficient (β), the station's pressure (or its altitude), and the zonal surface albedo (for which a simple submodel is provided for North America). PSIM is intended to give accurate irradiance estimates in any atmospheric condition whenever w < 5 cm and β < 0.45. The parameterization uses a function of solar elevation that is integrable with time, so that a parameterized daily irradiation model (called DIM) is also obtained. The seasonal variations of the daily clear-sky beam and global irradiations are presented for different combinations of w, β, and latitude. It is possible to use these irradiation estimates in different applications when dealing with solar energy or climatology. For example, a simple way to derive the mean monthly apparent solar elevation or air mass is given. It is also suggested that the original Angström's equation (to derive the average global irradiation from the fraction of possible sunshine) be used more extensively with DIM. Finally, it is demonstrated (using data from Albany, NY) that the monthly average beam irradiation may be obtained with a very simple equation from the fraction of possible sunshine and DIM, yielding more accurate estimates than the existing best-performing method. © 1993.

Publication Date

1-1-1993

Publication Title

Solar Energy

Volume

50

Issue

5

Number of Pages

385-397

Document Type

Article

Identifier

scopus

DOI Link

https://doi.org/10.1016/0038-092X(93)90059-W

Socpus ID

0027599207 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0027599207

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