Validation of the existing models for estimating global solar radiation over Egypt

Abstract Solar radiation data are required for many applications and many areas of research. In order to achieve this, several empirical models have been developed to predict the solar radiation in many developing countries like Egypt. The main objective of this study is to review and test the applicability of all models available for computing the monthly average daily global radiation on a horizontal surface, G, in Egypt. The different meteorological data measured at nine stations during the period (1983–2006) were used to calculate the monthly mean values of G over these stations using all available collected models. The collected models (10 models) were compared on the basis of many statistical error tests such as the relative percentage error (e%), the mean percentage error (MPE), mean bias error (MBD), root mean square error (RMSE), t-test and the Nash–Sutcliffe equation (NSE). According to the results, the modified Robaa model (model 8) showed the best estimation of the global solar radiation on a horizontal surface for all nine stations and therefore is recommended for predicting G at any location in Egypt.

[1]  C. Tiba,et al.  Analysis of a new relationship between monthly global irradiation and sunshine hours from a database of Brazil , 2005 .

[2]  S. Shalaby,et al.  Solar radiation over Egypt: Comparison of predicted and measured meteorological data , 1993 .

[3]  Didier Thevenard,et al.  A test of Suehrcke's sunshine-radiation relationship using a global data set , 2002 .

[4]  C. Tiba Solar radiation in the Brazilian Northeast , 2001 .

[5]  I. T. Toğrul,et al.  Estimation of monthly global solar radiation from sunshine duration measurement in Elaziğ , 2000 .

[6]  Said M.A. Ibrahim,et al.  Predicted and measured global solar radiation in Egypt , 1985 .

[7]  A. Angstrom Solar and terrestrial radiation. Report to the international commission for solar research on actinometric investigations of solar and atmospheric radiation , 2007 .

[8]  Ali Al-Mohamad,et al.  Global, direct and diffuse solar-radiation in Syria , 2004 .

[9]  Ahmet Sarı,et al.  Model selection for global and diffuse radiation over the Central Black Sea (CBS) region of Turkey , 2005 .

[10]  A. Soler,et al.  Dependence on cloudiness of the relation between the ratio of diffuse to global radiation and the ratio of global to extraterrestrial radiation for average daily values , 1990 .

[11]  Eduardo Varas,et al.  Estimation of mean monthly solar global radiation as a function of temperature , 2000 .

[12]  I. T. Toğrul,et al.  A comparison of estimated and measured values of solar radiation in Elaziğ, Turkey , 2000 .

[13]  Estimation of solar radiation parameters for Izmir, Turkey , 2002 .

[14]  I. A. Raja,et al.  Insolation-sunshine relation with site elevation and latitude , 1994 .

[15]  Z. Lu,et al.  Generation of daily and hourly solar radiation values for modeling water quality in aquaculture ponds , 1998 .

[16]  J. L. Souza,et al.  Global solar radiation measurements in Maceió, Brazil , 2005 .

[17]  S. Barbaro,et al.  Global solar radiation in Italy , 1978 .

[18]  Sugiyatno,et al.  Estimation of global solar radiation in the Indonesian climatic region , 2001 .

[19]  Arif Hepbasli,et al.  Comparison of the Diffuse Fraction of Daily and Monthly Global Radiation for Izmir, Turkey , 2003 .

[20]  M. El-Metwally,et al.  Sunshine and global solar radiation estimation at different sites in Egypt , 2005 .

[21]  M. Chegaar,et al.  Global solar radiation estimation in Algeria , 2001 .

[22]  A. M. Fathy,et al.  Study of the solar radiation over Menia , 2001 .

[23]  I. T. Toğrul,et al.  Global solar radiation over Turkey: comparison of predicted and measured data , 2002 .

[24]  F. A. Ogbu,et al.  The importance of maximum air temperature in the parameterisation of solar radiation in Nigeria , 1995 .

[25]  M. El-Metwally,et al.  Simple new methods to estimate global solar radiation based on meteorological data in Egypt , 2004 .

[26]  Orhan Büyükalaca,et al.  Simple model for the generation of daily global solar-radiation data in Turkey , 2007 .

[27]  A. A. Trabea,et al.  Correlation of global solar radiation with meteorological parameters over Egypt , 2000 .

[28]  New model to estimate the solar global irradiation using astronomical and meteorological parameters , 1993 .

[29]  J. Twidell,et al.  Diurnal variation of global insolation over five locations in Pakistan , 1990 .

[30]  D. Moot,et al.  Estimating daily solar radiation in New Zealand using air temperatures , 2007 .

[31]  J. Twidell,et al.  Distribution of global insolation over Pakistan , 1989 .

[32]  A. Sabziparvar,et al.  Estimation of global solar radiation in arid and semi-arid climates of East and West Iran , 2007 .

[33]  M. A. Omran,et al.  Analysis of solar radiation over Egypt , 2000 .

[34]  V. Bahel,et al.  A correlation for estimation of global solar radiation , 1987 .

[35]  J. Mubiru,et al.  Assessing the performance of global solar radiation empirical formulations in Kampala, Uganda , 2007 .

[36]  Javier Almorox,et al.  Global solar radiation estimation using sunshine duration in Spain , 2004 .

[37]  A. Hepbasli,et al.  Prediction of Solar Radiation Parameters Through Clearness Index for Izmir, Turkey , 2002 .

[38]  W. Chow,et al.  Solar radiation model , 2001 .

[39]  I. T. Toğrul,et al.  A study for estimating solar radiation in Elaziğ using geographical and meteorological data , 1999 .

[40]  Wenzhi Zhao,et al.  Validation of five global radiation models with measured daily data in China , 2004 .

[41]  W. Beckman,et al.  Solar Engineering of Thermal Processes , 1985 .

[42]  Marija Zlata Boznar,et al.  Modeling hourly diffuse solar-radiation in the city of São Paulo using a neural-network technique , 2004 .

[43]  A. Khogali,et al.  Solar radiation over Sudan—Comparison of measured and predicted data , 1983 .

[44]  J. C. Lam,et al.  Solar heat gain factors and the implications to building designs in subtropical regions , 2000 .

[45]  E. Taşdemiroǧlu,et al.  A new method for estimating solar radiation from bright sunshine data , 1984 .

[46]  L. Umanand,et al.  Estimation of global radiation using clearness index model for sizing photovoltaic system , 2005 .

[47]  M. Bashahu,et al.  Analysis of daily global irradiation data for five sites in Rwanda and one in Senegal , 1994 .

[48]  I. T. Toğrul,et al.  Estimation of global solar radiation under clear sky radiation in Turkey , 2000 .

[49]  M. Díez-Mediavilla,et al.  Measurement and comparison of diffuse solar irradiance models on inclined surfaces in Valladolid (Spain) , 2005 .

[50]  Enrong Lu,et al.  Validation of eight sunshine-based global radiation models with measured data at seven places in Yunnan Province, China , 1999 .

[51]  J. Almorox,et al.  Statistical validation of daylength definitions for estimation of global solar radiation in Toledo, Spain , 2005 .

[52]  M. Tadros,et al.  Uses of sunshine duration to estimate the global solar radiation over eight meteorological stations in Egypt , 2000 .

[53]  C. Ertekin,et al.  Comparison of some existing models for estimating global solar radiation for Antalya (Turkey) , 2000 .

[54]  R. J. Stone Improved statistical procedure for the evaluation of solar radiation estimation models , 1993 .

[55]  A. Sabziparvar,et al.  General Formula for Estimation of Monthly Mean Global Solar Radiation in Different Climates on the South and North Coasts of Iran , 2007 .

[56]  Can Ertekin,et al.  Estimation of monthly average daily global radiation on horizontal surface for Antalya (Turkey) , 1999 .

[57]  Shafiqur Rehman,et al.  Global solar radiation estimation , 1997 .

[58]  Arif Hepbasli,et al.  Comparison of solar radiation correlations for İzmir, Turkey , 2002 .

[59]  Nadir Ahmed Elagib,et al.  New approaches for estimating global solar radiation across Sudan , 2000 .

[60]  A. Angstroem Solar and terrestrial radiation , 1924 .

[61]  Zhou Jin,et al.  General formula for estimation of monthly average daily global solar radiation in China , 2005 .

[62]  A. A. El-Sebaii,et al.  Estimation of Global Solar Radiation on Horizontal Surfaces Over Egypt , 2005 .

[63]  I. Supit,et al.  A Simple Method to Estimate Global Radiation. , 1998 .

[64]  Gilles Notton,et al.  Calculation on an hourly basis of solar diffuse irradiations from global data for horizontal surfaces in Ajaccio , 2004 .

[65]  F. S. Tymvios,et al.  Comparative study of Ångström's and artificial neural networks' methodologies in estimating global solar radiation , 2005 .

[66]  Marta Benito,et al.  Estimation of monthly Angström–Prescott equation coefficients from measured daily data in Toledo, Spain , 2005 .

[67]  Arif Hepbasli,et al.  Solar Radiation Models. Part 2: Comparison and Developing New Models , 2004 .