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Adaptive solar radiation numerical model

Díaz Reyes, Felipe,Montero García, Gustavo,Escobar Sánchez, José María,Rodríguez, Eduardo,Montenegro Armas, Rafael

Abstract

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 taking into account using 2-D adaptive meshes of triangles [1], 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 exploitaitions. For this purpose, the effect of shadows is considered in each time step. Solar radiation is first computed for clear-sky (CS) conditions [2] and then, real-sky values are computed daily in terms of the CS index. Maps for CS 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. The model can be also 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 obtain the real sky radiation.

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Adap i e Sola Radia ion Nume ical Model Felipe Díaz Elec ical Enginee ing Depa men . Uni e si y o Las Palmas de G an Cana ia (ULPGC) [email p o ec ed] Gus a o Mon e o Uni e si y Ins i u e o In elligen Sys ems and Nume ical Applica ions in Enginee ing. ULPGC [email p o ec ed] José Ma ía Escoba Uni e si y Ins i u e o In elligen Sys ems and Nume ical Applica ions in Enginee ing. ULPGC [email p o ec ed] Edua do Rod íguez Uni e si y Ins i u e o In elligen Sys ems and Nume ical Applica ions in Enginee ing. ULPGC [email p o ec ed] Ra ael Mon eneg o Uni e si y Ins i u e o In elligen Sys ems and Nume ical Applica ions in Enginee ing. ULPGC [email p o ec ed] Abs ac A sola adia ion nume ical model is p esen ed. Wi h i , he use can es ima e he adia ion alues in any loca ion easily and compu e he sola powe gene a ion aking in o accoun no only he adia- ion le el, bu also he e ain su ace condi ions conside ing he cas shadows. The e ain su ace is aking in o accoun using 2-D adap i e meshes o iangles [1], which a e cons uc ed using a e- inemen /de e inemen p ocedu e in acco dance wi h he a ia ions o e ain su ace and albedo. The model can be used in a mosphe ic sciences as well as in elec ical enginee ing since i allows he use o ind he op imal loca ion o he maximum powe gene a ion in pho o ol aic o sola he mal powe exploi ai ions. Fo his pu pose, he e ec o shadows is conside ed in each ime s ep. Sola adia ion is i s compu ed o clea -sky (CS) condi ions [2] and hen, eal-sky alues a e compu ed daily in e ms o he CS index. Maps o CS index a e ob ained om a spa ial in e pola ion o obse a ional da a which a e a ailable o each day a se e al poin s o he s udied zone. Finally, he sola adia ion maps o a mon h a e calcula ed om he daily esul s. The model can be also applied in sola adia ion o ecas ing using a me eo ological model. The es ima ion o daily sola adia ion p o ided by such model is used o adjus he clea sky esul s and ob ain he eal sky adia ion. Re e ences 1. G. MONTERO, J.M. ESCOBAR, E. RODRÍGUEZ AND R. MONTENEGRO. Sola adia ion and shadow modelling wi h adap i e iangula meshes. Sola Ene gy 83 (7) (2009), pp. 998–1012. 2. M. ŠÚRI AND J. HOFIERKA. A New GIS-based Sola Radia ion Model and i s applica ion o pho o ol aic assessmen s. T ansac ions in GIS 8 (2) (2004), pp. 175–170. 1