Evaluation of transposition models of solar irradiance over Egypt

The main objective in this paper is to carry out evaluation of statistical comparison of the monthly hourly and the daily data of global, beam and diffuse solar radiation incident on a horizontal and inclined surfaces for Cairo, Egypt during the period time from 1984 to 2014. The maximum and minimum values of correlation coefficient (R2) are 0.994 and 0.968 according to Eqs. (13) and (15) respectively. The comparison between the measured (Gd,m) and calculated (Gd,c) values of the diffuse solar radiation along with the values of mean base error (MBE), root mean square error (RMSE), mean percentage error (MPE), and t-Test statics are summarized. The values of MBE results show that the isotropic, Perez's, Hay's and Klucher's models are substantially under predicts the irradiance incident on an inclined surface, and the Tamps and Coulson model considerably over predicts irradiance incident on an inclined surface on an overall basis, and the RMSE results indicate that the anisotropic models (Hay, Klucher and Perez) show similar performance on an overall basis, but isotropic model and Tamps and Coulson exhibit much larger error. In general we confirm that, the observation of the Perez's and Klucher models describe the irradiance on inclined plane more accurately than anther models. These results in the present work are good agreement with other work in [9,12,129,130] (Khalil and Shaffie, 2013a; Khalil and Shaffie, 2013b; Khalil and Shaffie, 2014; Khalil and Shaffie, 2016). The statistical results of the models for south facing and west facing surface in the present study are analyzed.

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

[2]  Jesús Polo,et al.  Estimation of global daily irradiation in complex topography zones using digital elevation models and meteosat images: Comparison of the results , 2009 .

[3]  M. R. Rietveld,et al.  A new method for estimating the regression coefficients in the formula relating solar radiation to sunshine , 1978 .

[4]  A. M. Shaffie,et al.  The relationship between total solar radiation and biologically erythematic radiation over urban region of Egypt , 2014 .

[5]  Michael H. Unsworth,et al.  The angular distribution and interception of diffuse solar radiation below overcast skies , 1980 .

[6]  V. Bahel,et al.  Statistical comparison of correlations for estimation of global horizontal solar radiation , 1987 .

[7]  Joseph A. Jervase,et al.  Solar radiation estimation using artificial neural networks , 2002 .

[8]  Mohd Zamri Ibrahim,et al.  Estimation of global solar irradiation on horizontal and inclined surfaces based on the horizontal measurements , 2011 .

[9]  Jorge Aguilera,et al.  An application of the multilayer perceptron: Solar radiation maps in Spain , 2005 .

[10]  Samy A. Khalil,et al.  Performance of Statistical Comparison Models of Solar Energy on Horizontal and Inclined Surface , 2013 .

[11]  C. T. Nguyen,et al.  Calculation of monthly average global solar radiation on horizontal surfaces using daily hours of bright sunshine , 1993 .

[12]  Danny H.W. Li,et al.  A new approach for predicting vertical global solar irradiance , 2002 .

[13]  C. Justus,et al.  Estimation of daily and monthly direct, diffuse and global solar radiation from sunshine duration measurements , 1984 .

[14]  A. A. El-Sebaii,et al.  Global, direct and diffuse solar radiation on horizontal and tilted surfaces in Jeddah, Saudi Arabia , 2010 .

[15]  V. Bahel,et al.  Solar radiation for Dhahran, Saudi Arabia , 1986 .

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

[17]  Jorge Hernán Salazar Trujillo.  Solar performance and shadow behaviour in buildings. Case study with computer modelling of a building in Loranca, Spain , 1998 .

[18]  M. Iqbal.  An introduction to solar radiation , 1983 .

[19]  D. Fadare.  Modelling of solar energy potential in Nigeria using an artificial neural network model , 2009 .

[20]  C. Gueymard.  Prediction and Performance Assessment of Mean Hourly Global Radiation , 2000 .

[21]  Liu Yang,et al.  Solar radiation modelling using ANNs for different climates in China , 2008 .

[22]  Yousef A.G. Abdalla,et al.  Global and diffuse solar radiation in Doha (Qatar) , 1985 .

[23]  Samy A. Khalil,et al.  A comparative study of total, direct and diffuse solar irradiance by using different models on horizontal and inclined surfaces for Cairo, Egypt , 2013 .

[24]  Hamdy K. Elminir,et al.  Optimum solar flat-plate collector slope: Case study for Helwan, Egypt , 2006 .

[25]  S. M. Robaa,et al.  Evaluation of sunshine duration from cloud data in Egypt , 2008 .

[26]  Viorel Badescu,et al.  A new kind of cloudy sky model to compute instantaneous values of diffuse and global solar irradiance , 2002 .

[27]  Theo Chidiezie Chineke,et al.  Equations for estimating global solar radiation in data sparse regions , 2008 .

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

[29]  W. Beckman,et al.  Evaluation of hourly tilted surface radiation models , 1990 .

[30]  Gilles Notton,et al.  PREDICTING HOURLY SOLAR IRRADIATIONS ON INCLINED SURFACES BASED ON THE HORIZONTAL MEASUREMENTS: PERFORMANCES OF THE ASSOCIATION OF WELL-KNOWN MATHEMATICAL MODELS , 2006 .

[31]  Saleh M. Al-Alawi,et al.  An ANN-based approach for predicting global radiation in locations with no direct measurement instrumentation , 1998 .

[32]  Soteris A. Kalogirou,et al.  Methodology for predicting sequences of mean monthly clearness index and daily solar radiation data in remote areas: Application for sizing a stand-alone PV system , 2008 .

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

[34]  L. Alados-Arboledas,et al.  On shadowband correction methods for diffuse irradiance measurements , 1995 .

[35]  G. Mihalakakou,et al.  The total solar radiation time series simulation in Athens, using neural networks , 2000 .

[36]  M. Ranjan,et al.  Solar resource estimation using artificial neural networks and comparison with other correlation models , 2003 .

[37]  Benjamin Y. H. Liu,et al.  The interrelationship and characteristic distribution of direct, diffuse and total solar radiation , 1960 .

[38]  Jesús Polo,et al.  Artificial intelligence techniques applied to hourly global irradiance estimation from satellite-derived cloud index , 2005 .

[39]  R. Bird,et al.  Simple Solar Spectral Model for Direct and Diffuse Irradiance on Horizontal and Tilted Planes at the Earth's Surface for Cloudless Atmospheres , 1986 .

[40]  Geoff Levermore,et al.  Quality control and estimation hourly solar irradiation on inclined surfaces in South Korea , 2013 .

[41]  T. Muneer,et al.  A brief review of models for computing solar radiation on inclined surfaces , 1985 .

[42]  M. Benghanem.  Optimization of tilt angle for solar panel: Case study for Madinah, Saudi Arabia , 2011 .

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

[44]  E. Arcaklioğlu,et al.  Use of artificial neural networks for mapping of solar potential in Turkey , 2004 .

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

[46]  Samy A. Khalil,et al.  Attenuation of the solar energy by aerosol particles: A review and case study , 2016 .

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

[48]  B. Akinoglu,et al.  Construction of a quadratic model using modified Ångstrom coefficients to estimate global solar radiation , 1990 .

[49]  J. Olseth,et al.  Modelling slope irradiance at high latitudes , 1986 .

[50]  J. Hay.  Calculation of monthly mean solar radiation for horizontal and inclined surfaces , 1979 .

[51]  Mohamed Mohandes,et al.  Estimation of global solar radiation using artificial neural networks , 1998 .

[52]  Kamaruzzaman Sopian,et al.  A review of solar energy modeling techniques , 2012 .

[53]  A. Zakey,et al.  Atmospheric turbidity over Egypt , 2004 .

[54]  Zafer Aslan,et al.  Study of hourly solar radiation data in Istanbul , 1995 .

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

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

[57]  P. Ineichen,et al.  A new simplified version of the perez diffuse irradiance model for tilted surfaces , 1987 .

[58]  K. Bakirci.  Correlations for estimation of daily global solar radiation with hours of bright sunshine in Turkey , 2009 .

[59]  G. Kamali,et al.  Evaluation of 12 models to estimate hourly diffuse irradiation on inclined surfaces , 2008 .

[60]  Hamdy K. Elminir.  Experimental and theoretical investigation of diffuse solar radiation: Data and models quality tested for Egyptian sites , 2007 .

[61]  H. Manz,et al.  Empirical validation of models to compute solar irradiance on inclined surfaces for building energy simulation , 2007 .

[62]  J. Glover,et al.  The empirical relation between solar radiation and hours of sunshine , 1958 .

[63]  C. Gueymard.  An anisotropic solar irradiance model for tilted surfaces and its comparison with selected engineering algorithms , 1987 .

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

[65]  Serm Janjai,et al.  A new model for computing monthly average daily diffuse radiation for Bangkok , 1996 .

[66]  Isaac N. Itodo,et al.  A model for determining the global solar radiation for Makurdi, Nigeria , 2011 .

[67]  H. Kambezidis,et al.  DIFFUSE SOLAR IRRADIATION MODEL EVALUATION IN THE NORTH MEDITERRANEAN BELT AREA , 2001 .

[68]  B. E. Psiloglou,et al.  Performance of the meteorological radiation model during the solar eclipse of 29 March 2006 , 2007 .

[69]  F. Besharat,et al.  Empirical models for estimating global solar radiation: A review and case study , 2013 .

[70]  M.R.I. Ramadan,et al.  Estimation of Solar Irradiance on Inclined Surfaces Facing South in Tanta, Egypt , 2011 .

[71]  Weibin Ma,et al.  Estimating monthly average daily diffuse solar radiation with multiple predictors: A case study , 2011 .

[72]  Bo G Leckner,et al.  The spectral distribution of solar radiation at the earth's surface—elements of a model , 1978 .

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

[74]  M. Tadros,et al.  Determination of Ångström coefficients from spectral aerosol optical depth at two sites in Egypt , 2002 .

[75]  Lucas Alados-Arboledas,et al.  Prediction of global irradiance on inclined surfaces from horizontal global irradiance , 1999 .

[76]  Adel Mellit,et al.  Radial Basis Function Network-based prediction of global solar radiation data: Application for sizing of a stand-alone photovoltaic system at Al-Madinah, Saudi Arabia , 2010 .

[77]  P. Koronakis,et al.  On the choice of the angle of tilt for south facing solar collectors in the Athens basin area , 1986 .

[78]  Zekai Şen,et al.  Fuzzy algorithm for estimation of solar irradiation from sunshine duration , 1998 .

[79]  W. Beckman,et al.  Diffuse fraction correlations , 1990 .

[80]  K. K. Gopinathan,et al.  A general formula for computing the coefficients of the correlation connecting global solar radiation to sunshine duration , 1988 .

[81]  J. Michalsky,et al.  Modeling daylight availability and irradiance components from direct and global irradiance , 1990 .

[82]  S. A. El-Wakil,et al.  Atmospheric turbidity of urban and desert areas of the Nile Basin in the aftermath of Mt. Pinatubo’s eruption , 2001 .

[83]  K. Sopian,et al.  Estimates of monthly average daily global solar radiation in Malaysia , 1992 .

[84]  M. Iqbal,et al.  A modification of the ASHRAE clear sky irradiation model , 1985 .

[85]  Amit Kumar Yadav,et al.  Tilt angle optimization to maximize incident solar radiation: A review , 2013 .

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

[87]  Kamaruzzaman Sopian,et al.  Modeling of Daily Solar Energy on a Horizontal Surface for Five Main Sites in Malaysia , 2011 .

[88]  T. M. Klucher.  Evaluation of models to predict insolation on tilted surfaces , 1978 .

[89]  Kamaruzzaman Sopian,et al.  Modeling of solar energy for Malaysia using artificial neural networks , 2011 .

[90]  Z. Şen,et al.  Simple models of solar radiation data for northwestern part of Turkey , 2001 .

[91]  Yong Q. Tian,et al.  Estimating solar radiation on slopes of arbitrary aspect , 2001 .

[92]  V. D. Assimakopoulos,et al.  Comparative study of various correlations in estimating hourly diffuse fraction of global solar radiation , 2006 .

[93]  A. Rabl,et al.  The average distribution of solar radiation-correlations between diffuse and hemispherical and between daily and hourly insolation values , 1979 .

[94]  Shafiqur Rehman,et al.  SOLAR RADIATION OVER SAUDI ARABIA AND COMPARISONS WITH EMPIRICAL MODELS , 1998 .

[95]  Jan F. Kreider,et al.  Solar energy handbook , 1981 .

[96]  M. G. Elfandy.  The formation of depressions of the khamsin type , 1940 .

[97]  K. Sudhakar,et al.  Comparative study of isotropic and anisotropic sky models to estimate solar radiation incident on tilted surface: A case study for Bhopal, India , 2015 .

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

[99]  G. Kamali,et al.  Estimating solar radiation on tilted surfaces with various orientations: a study case in Karaj (Iran) , 2006 .

[100]  A. A. Trabea.  Analysis of solar radiation measurements at Al-Arish area, North Sinai, Egypt , 2000 .

[101]  A. Katiyar,et al.  Simple correlation for estimating the global solar radiation on horizontal surfaces in India , 2010 .

[102]  M. M. Abdel Wahab,et al.  Aerosol properties and associated radiative effects over Cairo (Egypt) , 2011 .

[103]  A. K. Katiyar,et al.  A comparative study of solar irradiation models on various inclined surfaces for India , 2011 .

[104]  S. Tuller,et al.  The relationship between diffuse, total and extra terrestrial solar radiation , 1976 .