Using a New Method based on Finsler Geometry for Wind Speed Modelling

Abstract

Accurately modelling of wind speed is very important for the assessment of wind energy potential of a certain region. Before the installation of a wind energy conversion system in a region, the wind speed potential of that region needs to be determined and modelled. For this reason, different distribution functions such as two-parameter Weibull, Gamma, Lognormal, Rayleigh etc. are proposed for accurately modeling wind speed in the literature. In this paper, new probability and cumulative probability density functions based on Finsler geometry are proposed for wind speed modelling. Two-dimensional Finsler space metric function is obtained for Weibull distribution. Monthly analysis for Yalova, Turkey is realized using a new method based on Finsler geometry and two-parameter Weibull distribution. Wind data, consisting of hourly wind speed records between October 2015-September 2016 were obtained from the Yalova station of Turkish State Meteorological Service. The performances of the models are given comparatively by using root mean square error (RMSE).