Modelling frequency distributions of 5 minute-averaged solar radiation indexes using Beta probability functions |
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| Authors: | H F Assunção J F Escobedo A P Oliveira |
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| Institution: | (1) Department of Geography, Campus of Jataí, Federal University of Goiás, Jataí, Goiás, Brazil, BR;(2) Department of Natural Resources, School of Agronomic Science, UNESP, Botucatu, São Paulo, Brazil, BR;(3) Group of Micrometeorology, Department of Atmospheric Sciences, Institute of Astronomy, Geophysics and Atmospheric Sciences, University of São Paulo, São Paulo, Brazil, BR |
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| Abstract: | Summary ¶Five minute-averaged values of sky clearness, direct and diffuse indices, were used to model the frequency distributions of these variables in terms of optical air mass. From more than four years of solar radiation observations it was found that variations in the frequency distributions of the three indices of optical air mass for Botucatu, Brazil, are similar to those in other places, as published in the literature. The proposed models were obtained by linear combination of normalized Beta probability functions, using the observed distributions derived from three years of data. The versatility of these functions allows modelling of all three irradiance indexes to similar levels of accuracy. A comparison with the observed distributions obtained from one year of observations indicate that the models are able to reproduce the observed frequency distributions of all three indices at the 95% confidence level.Received September 2, 2002; revised February 28, 2003; accepted March 16, 2003
Published online September 10, 2003 |
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