Modeling monthly mean variation of the solar global irradiation

Abstract The monthly mean variation of the solar global reaching the Earth's surface has been characterized at a global level by a regression model. This model considers the monthly variation itself (to different horizons and even the maximum annual variation) as the study variable, and it is applied without using data corresponding to measured meteorological variable. Two explicative variables have been used, the variation of the extraterrestrial irradiation and the variation of the clear sky global horizontal irradiation. The work has been carried out from datasets including average global daily solar irradiation for each month of the year measured on the ground. The model quality has been proven to be very dependent of the temporal variation considered, in such a way that higher variations, that is to say, higher distances between months, lead to an improvement in the model outcomes.

[1]  F. J. Newland,et al.  A study of solar radiation models for the coastal region of South China , 1989 .

[2]  T. Hoff,et al.  Parameterization of site-specific short-term irradiance variability , 2011 .

[3]  P. Ineichen Comparison of eight clear sky broadband models against 16 independent data banks , 2006 .

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

[5]  F. Antonanzas-Torres,et al.  Improving daily output of global to direct solar irradiance models with ground measurements , 2013 .

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

[7]  H. Suehrcke,et al.  On the relationship between duration of sunshine and solar radiation on the earth’s surface: Ångström’s equation revisited , 2000 .

[8]  A. Miguel,et al.  Test Reference Year Generation and Evaluation Methods in the Continental Mediterranean Area , 2004 .

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

[10]  C. Gueymard Direct solar transmittance and irradiance predictions with broadband models. Part II: validation with high-quality measurements , 2003 .

[11]  C. Gueymard REST2: High-performance solar radiation model for cloudless-sky irradiance, illuminance, and photosynthetically active radiation – Validation with a benchmark dataset , 2008 .

[12]  J. M. Vindel,et al.  Sensitivity of satellite-based methods for deriving solar radiation to different choice of aerosol input and models , 2014 .

[13]  C. Gueymard Direct solar transmittance and irradiance predictions with broadband models. Part I: detailed theoretical performance assessment , 2003 .

[14]  Jesús Polo,et al.  Intermittency and variability of daily solar irradiation , 2014 .

[15]  S. Wilcox,et al.  Spatial and Temporal Variability of the Solar Resource in the United States , 2010 .

[16]  Joshua S. Stein,et al.  The Variability Index: A New and Novel Metric for Quantifying Irradiance and PV Output Variability. , 2012 .

[17]  Guillaume Bal,et al.  Algorithm for solving the equation of radiative transfer in the frequency domain. , 2004, Optics letters.

[18]  B. E. Psiloglou,et al.  Comparison between measurements and models for daily solar irradiation on tilted surfaces in Athens, Greece , 1997 .

[19]  Pramod K. Pandey,et al.  A new method to estimate average hourly global solar radiation on the horizontal surface , 2012 .

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

[21]  T. Muneer Solar radiation and daylight models , 2004 .

[22]  L. Wald,et al.  On the clear sky model of the ESRA — European Solar Radiation Atlas — with respect to the heliosat method , 2000 .

[23]  Jan Kleissl,et al.  Solar variability of four sites across the state of Colorado , 2010 .

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

[25]  Ian T. Jolliffe,et al.  Empirical orthogonal functions and related techniques in atmospheric science: A review , 2007 .

[26]  A. Miguel,et al.  Test reference year generation from meteorological and simulated solar radiation data , 2005 .

[27]  T. Hoff,et al.  Short-term irradiance variability: Preliminary estimation of station pair correlation as a function of distance , 2012 .

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

[29]  Jean-Noël Thépaut,et al.  The MACC reanalysis: an 8 yr data set of atmospheric composition , 2012 .

[30]  P. Ineichen A broadband simplified version of the Solis clear sky model , 2008 .

[31]  John Boland,et al.  Artificial Neural Network models for estimating daily solar global UV, PAR and broadband radiant fluxes in an eastern Mediterranean site , 2015 .

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

[33]  David B. Ampratwum,et al.  Estimation of solar radiation from the number of sunshine hours , 1999 .

[34]  J. Stein,et al.  Using Cloud Classification to Model Solar Variability. , 2013 .

[35]  Anthony B. Davis,et al.  3D Radiative Transfer in Cloudy Atmospheres , 2005 .

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

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

[38]  Constantinos A. Balaras,et al.  Comparison of methodologies for tmy generation using 20 years data for Athens, Greece , 1999 .

[39]  G. North,et al.  Empirical Orthogonal Functions: The Medium is the Message , 2009 .

[40]  R. Preisendorfer,et al.  Principal Component Analysis in Meteorology and Oceanography , 1988 .

[41]  M. Hulme,et al.  A high-resolution data set of surface climate over global land areas , 2002 .

[42]  R. Kuhlemann,et al.  Rethinking satellite-based solar irradiance modelling: The SOLIS clear-sky module , 2004 .