A new predictive solar radiation numerical model

A solar radiation numerical model is presented. With it, the user can estimate the radiation values in any location easily and compute the solar power generation taking into account not only the radiation level, but also the terrain surface conditions considering the cast shadows. The terrain surface is taken into account, using 2-D adaptive meshes of triangles which are constructed using a refinement/derefinement procedure in accordance with the variations of terrain surface and albedo. The model can be used in atmospheric sciences as well as in electrical engineering since it allows the user to find the optimal location for the maximum power generation in photovoltaic or solar thermal power exploitations. For this purpose, the effect of shadows is considered in each time step. Solar radiation is first computed for clear-sky conditions and then, real-sky values are computed daily in terms of the clear-sky index. Maps for clear-sky index are obtained from a spatial interpolation of observational data which are available for each day at several points of the studied zone. Finally, the solar radiation maps of a month are calculated from the daily results. However, for power system management purposes, it is very important to know the amount of energy that a facility can introduce into the grid in a future. That is why a predictive tool has been developed. So, the model can be applied in solar radiation forecasting using a meteorological model. The estimation of daily solar radiation provided by such model is used to adjust the clear sky results and, then, to obtain the real sky radiation.

[1]  M. Rivara A grid generator based on 4‐triangles conforming mesh‐refinement algorithms , 1987 .

[2]  Teodoro López-Moratalla,et al.  Computing the solar vector , 2001 .

[3]  Ángel Plaza,et al.  Efficient refinement/derefinement algorithm of nested meshes to solve evolution problems , 1994 .

[4]  F. Kasten The linke turbidity factor based on improved values of the integral Rayleigh optical thickness , 1996 .

[5]  Rafael Montenegro,et al.  Solar radiation estimation using a numerical model , 2012 .

[6]  Gabriel Winter,et al.  Adaptive strategies using standard and mixed finite elements for wind field adjustment , 1995 .

[7]  Jaroslav Hofierka,et al.  A New GIS‐based Solar Radiation Model and Its Application to Photovoltaic Assessments , 2004, Trans. GIS.

[8]  Richard Perez,et al.  Forecasting solar radiation – Preliminary evaluation of an approach based upon the national forecast database , 2007 .

[9]  A. T. Young,et al.  Revised optical air mass tables and approximation formula. , 1989, Applied optics.

[10]  Rafael Montenegro,et al.  An adaptive solar radiation numerical model , 2012, J. Comput. Appl. Math..

[11]  Rafael Montenegro,et al.  A 3-D diagnostic model for wind field adjustment , 1998 .

[12]  T. Hoff,et al.  Validation of short and medium term operational solar radiation forecasts in the US , 2010 .

[13]  T. Muneer,et al.  Solar Radiation and Daylight Models: For the Energy Efficient Design of Buildings , 1997 .

[14]  J. K. Page,et al.  Prediction of solar radiation on inclined surfaces , 1986 .

[15]  Tariq Muneer,et al.  Solar radiation model for Europe , 1990 .

[16]  Rafael Montenegro,et al.  Solar radiation and shadow modelling with adaptive triangular meshes , 2009 .