A Comparative Study of Some Regression Models to Estimate the Global Solar Radiation on a Horizontal Surface from Sunshine Duration and Meteorological Parameters for Gharda？a Site, Algeria
A comparison between some regression correlations for predicting the global solar radiation received on a horizontal plane has been processed. Seven models for estimating the global solar radiation from sunshine duration and two meteorological parameters (air temperature and relative humidity) are presented. The root mean square error (RMSE), mean bias error (MBE), correlation coefficient (CC), and percentage error ( ) have been also computed to test the accuracy of the proposed models. Comparisons between the measured and the calculated values have been made. The results obtained show that the linear and quadratic models are the most suitable for estimating the global solar radiation from sunshine duration, and for the models based on meteorological parameters, Abdalla and Ojosu's models give the best performance with a CC of 0.898 and 0.892, respectively. 1. Introduction Solar energy applications require a complete knowledge and detailed analysis about the potential of the site, so a database at ground level is an important feature of solar energy systems. Measurements of global solar radiation reaching the surface of the earth and its two components direct and diffuse are essential in the most research fields of solar energy. The daily values as well as the monthly ones are needed to evaluate the performance of existing solar devices and estimate the efficiency of the future installations [1, 2]. When the site under consideration is equipped with a radiometric station operates regularly for several years, it will be easier to exploit solar energy resource. However, in most cases, there are no local measurements and we must resort to approximate methods to predict the characteristics of solar radiation. In order to estimate the amount of solar energy incident on a horizontal surface, many models have been developed which relate the global solar radiation (H) with the sunshine duration. The first one is that proposed by Angstrom [3–5] which predicts the monthly average daily global solar radiation from sunshine duration and clear sky radiation data. Prescott puts this equation in a more convenient form, replacing the clear sky radiation by the extraterrestrial one [6]. Then, the Angstrom-Prescott model was developed by many researchers, who have correlated the global solar radiation with the sunshine duration in another regression forms [7–22] and with some meteorological parameters such as air temperature, relative humidity, cloudiness, and wind velocity [23–34]. Each of these factors contributes in a significant manner in the estimation of global
References
[1]
K. Gairaa and S. Benkaciali, “Analysis of solar radiation measurements in Ghardaia area, south Algeria,” Energy Procedia, vol. 6, pp. 122–129, 2011.
[2]
J. L. Desouza, R. M. Nicaciob, and M. A. L. Mouraa, “Global solar radiation measurements in Maceió, Brazil,” Renewable Energy, vol. 30, pp. 1203–1220, 2009.
[3]
J. P. Duffie and W. A. Beckman, Solar Engineering of Thermal Process, John Wiley & Sons, New York, NY, USA, 1991.
[4]
M. Iqbal, An Introduction to Solar Radiation, Academic Press, Toronto, Canada, 1983.
[5]
International Energy Agency (IEA), “Validation of models for estimating solar radiation on horizontal surfaces,” Atmosphere & Environment service, Canada, 1988.
[6]
J. A. Prescott, “Evaporation from a water surface in relation to solar radiation,” Philosophical Transactions of the Royal Society, vol. 64, pp. 114–120, 1990.
[7]
C. C. Y. Ma and M. Iqbal, “Statistical comparison of solar radiation correlations Monthly average global and diffuse radiation on horizontal surfaces,” Solar Energy, vol. 33, no. 2, pp. 143–148, 1984.
[8]
J. Almorox and C. Hontoria, “Global solar radiation estimation using sunshine duration in Spain,” Energy Conversion and Management, vol. 45, no. 9-10, pp. 1529–1535, 2004.
[9]
I. T. Togrul, H. Togrul, and D. Evin, “Estimation of monthly global solar radiation from sunshine duration measurement in Elazig,” Renewable Energy, vol. 19, no. 4, pp. 587–595, 2000.
[10]
I. T. Togrul and E. Onat, “A comparison of estimated and measured values of solar radiation in Elazig, Turkey,” Renewable Energy, vol. 20, no. 2, pp. 243–252, 2000.
[11]
A. K. Katiyar, A. Kumar, K. P. Chanchal, and B. Das, “A comparative study of monthly mean daily clear sky radiation over India,” International Journal of Energy and Environment, vol. 1, pp. 177–182, 2010.
[12]
G. Oturanc, A. Hepbasli, and A. Genc, “Statistical analysis for solar radiation data,” Energy Sources, vol. 25, no. 11, pp. 1089–1097, 2003.
[13]
M. Benghanem and A. A. Joraid, “A multiple correlation between different solar parameters in Medina, Saudi Arabia,” Renewable Energy, vol. 32, no. 14, pp. 2424–2435, 2007.
[14]
D. B. Ampratwum and A. S. S. Dorvlo, “Estimation of solar radiation from the number of sunshine hours,” Applied Energy, vol. 63, no. 3, pp. 161–167, 1999.
[15]
Z. ？en, “Angstr？m equation parameter estimation by unrestricted method,” Solar Energy, vol. 71, no. 2, pp. 95–107, 2001.
[16]
B. T. Nguyen and T. L. Pryor, “The relationship between global solar radiation and sunshine duration in Vietnam,” Renewable Energy, vol. 11, no. 1, pp. 47–60, 1997.
[17]
N. A. Elagib, S. H. Alvi, and M. G. Mansell, “Correlationships between clearness index and relative sunshine duration for Sudan,” Renewable Energy, vol. 17, no. 4, pp. 473–498, 1999.
[18]
M. Hussain, L. Rahman, and M. M. Rahman, “Technical note: techniques to obtain improved predictions of global radiation from sunshine duration,” Renewable Energy, vol. 18, no. 2, pp. 263–275, 1999.
[19]
M. T. Y. Tadros, “Uses of sunshine duration to estimate the global solar radiation over eight meteorological stations in Egypt,” Renewable Energy, vol. 21, no. 2, pp. 231–246, 2000.
[20]
I. T. Togrul and E. Onat, “Study for estimating solar radiation in Elazig using geographical and meteorological data,” Energy Conversion and Management, vol. 40, no. 14, pp. 1577–1584, 1999.
[21]
R. Chen, K. Ersi, J. Yang, S. Lu, and W. Zhao, “Validation of five global radiation models with measured daily data in China,” Energy Conversion and Management, vol. 45, no. 11-12, pp. 1759–1769, 2004.
[22]
C. Ertekin and O. Yaldiz, “Comparison of some existing models for estimating global solar radiation for Antalya (Turkey),” Energy Conversion and Management, vol. 41, no. 4, pp. 311–330, 2000.
[23]
J. C. Ododo, J. A. Agbakwuru, and F. A. Ogbu, “Correlation of solar radiation with cloud cover and relative sunshine duration,” Energy Conversion and Management, vol. 37, no. 10, pp. 1555–1559, 1996.
[24]
M. Yorukoglu and A. N. Celik, “A critical review on the estimation of daily global solar radiation from sunshine duration,” Energy Conversion and Management, vol. 47, no. 15-16, pp. 2441–2450, 2006.
[25]
Y. Abdalla, “New correlation of global solar radiation with meteorological parameters for Bahrain,” International Journal of Solar Energy, vol. 16, pp. 111–120, 1994.
[26]
K. K. Gopinathan, “A new model for estimating total solar radiation in Doha,” Energy Conversion and Managemen, vol. 28, pp. 6–72, 1988.
[27]
A. A. Trabea and M. A. M. Shaltout, “Correlation of global solar radiation with meteorological parameters over Egypt,” Renewable Energy, vol. 21, no. 2, pp. 297–308, 2000.
[28]
R. G. Allen, “Self-calibrating method for estimating solar radiation from air temperature,” Journal of Hydrologic Engineering, vol. 2, no. 2, pp. 56–67, 1997.
[29]
G. H. Hargreaves and R. G. Allen, “History and evaluation of hargreaves evapotranspiration equation,” Journal of Irrigation and Drainage Engineering, vol. 129, no. 1, pp. 53–63, 2003.
[30]
Z. Samani, G. H. Hargreaves, V. Tran, and S. Bawazir, “Estimating solar radiation from temperature with spatial and temporal calibration,” Journal of Irrigation and Drainage Engineering, vol. 137, no. 11, pp. 692–696, 2011.
[31]
J. O. Ojosu and L. K. Komolafe, “Models for estimating solar radiation availability in South Western Nigeria,” Solar Energy, vol. 16, pp. 69–77, 1987.
[32]
G. H. Hargreaves and Z. A. Samani, “Reference crop evapotranspiration from temperature,” Transactions of the ASAE, vol. 1, pp. 96–99, 1985.
[33]
J. I. Prieto, J. C. Martínez-García, and D. García, “Correlation between global solar irradiation and air temperature in Asturias, Spain,” Solar Energy, vol. 83, no. 7, pp. 1076–1085, 2009.
[34]
M. Paulescu, L. Fara, and E. Tulcan-Paulescu, “Models for obtaining daily global solar irradiation from air temperature data,” Atmospheric Research, vol. 79, no. 3-4, pp. 227–240, 2006.
