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A Comparative Study of Correlation Functions for Estimation of Monthly Mean Daily Global Solar Radiation for Jaipur, Rajasthan (India)


Affiliations
1 Department of Physics, University of Rajasthan Jaipur-302 004, India
2 Department of Pure and Applied Physics, University of Kota, Kota-324 005, India
 

Six empirical correlations have been employed to predict monthly mean global solar radiation on a horizontal surface from relative duration of bright sunshine hours for Jaipur (26.92° N, 75.87° E). These correlations are Angstrom-Prescott linear correlation and modified functions such as quadratic, cubic, exponential, logarithmic and power function of relative duration of sunshine hours. Predicted values of monthly mean global solar radiation were compared with observed values using statistical parameters coefficient of determination R2, mean bias error MBE and ischolar_main mean square error RMSE. The cubic correlation has been found to be the best while logarithmic correlation is proved worst for Jaipur. The proposed power correlation shows the values of statistical parameters close to cubic correlation and has a simpler form.

Keywords

Global Solar Radiation, Sunshine Hours, Empirical Correlation, Statistical Parameters
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  • A Comparative Study of Correlation Functions for Estimation of Monthly Mean Daily Global Solar Radiation for Jaipur, Rajasthan (India)

Abstract Views: 668  |  PDF Views: 126

Authors

V. K. Marwal
Department of Physics, University of Rajasthan Jaipur-302 004, India
R. C. Punia
Department of Physics, University of Rajasthan Jaipur-302 004, India
N. Sengar
Department of Pure and Applied Physics, University of Kota, Kota-324 005, India
S. Mahawar
Department of Physics, University of Rajasthan Jaipur-302 004, India
P. Dashora
Department of Physics, University of Rajasthan Jaipur-302 004, India

Abstract


Six empirical correlations have been employed to predict monthly mean global solar radiation on a horizontal surface from relative duration of bright sunshine hours for Jaipur (26.92° N, 75.87° E). These correlations are Angstrom-Prescott linear correlation and modified functions such as quadratic, cubic, exponential, logarithmic and power function of relative duration of sunshine hours. Predicted values of monthly mean global solar radiation were compared with observed values using statistical parameters coefficient of determination R2, mean bias error MBE and ischolar_main mean square error RMSE. The cubic correlation has been found to be the best while logarithmic correlation is proved worst for Jaipur. The proposed power correlation shows the values of statistical parameters close to cubic correlation and has a simpler form.

Keywords


Global Solar Radiation, Sunshine Hours, Empirical Correlation, Statistical Parameters

References





DOI: https://doi.org/10.17485/ijst%2F2012%2Fv5i5%2F30451