A 2 dimensional solar radiation model

In this study solar radiation data obtained from Eskisehir region is mathematically modeled using a two dimentional (2D) approach. The approach and model is novel in the literature of solar radiation modeling. The analysis is based on mathematical behavior of hourly and daily behavioral cross-sections of the 2D data. It is observed that the deviation of the hourly data within a day exhibits a Gaussian shape, and the deviation of daily data in the year has a sinusoidal behavior. The hourly behaviour of daily data is tested by single and double Gaussian source models, whereas the daily behavior of yearly data is only modeled using sinusoidal function. By this way two different equations corresponding two different surfaces are obtained. It is concluded that single-source Gaussian surface represents the data more accurate than two dimentional Gasussian surface. Consequently, a very simple but an accurate 2D model is obtained for solar radiation data.