Abstract
In this study, polynomial function modeling and rational function modeling were used to create three new models for the estimation of diffuse solar radiation on a tilted surface, which is the most important and necessary parameter for solar energy systems. Solar radiation data used in the study were obtained from the Turkish State Meteorological Service. The new model, created using the rational function modeling for the first time, displayed a better performance than the models developed using polynomial function modeling in the literature. The performances of the models were compared by way of statistical parameters. The general validity of the models developed was tested against solar data for the Athens, Madrid, Berlin and Bucharest. Also, the optimum tilt angles were determined via diffuse solar radiation models. Annual optimum tilt angles for reference provinces, Tokat, Corum, Amasya and Yozgat were determined as 17°, 17°, 15° and 16°, respectively. The total gains were obtained on optimum tilt angles for the provinces of Tokat, Corum, Amasya and Yozgat were 46.5%, 56.21%, 39.37% and 44.49%, respectively. As a result, the proposed new model, based on rational function modeling for the estimation of diffuse solar radiation, displayed the best performance.
Published Version
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