SDE-based wind speed models with Weibull distribution and exponential autocorrelation

This paper discusses three approaches to construct wind speed models based on Stochastic Differential Equations (SDEs). The methods are applied to construct models able to simulate wind speed trajectories that are statistically described by means of the Weibull distribution and the exponential autocorrelation. The ability of the three models to reproduce stochastic processes with the above indicated statistical properties is duly studied and compared. With this aim, wind speed measurements recorded in a weather station located in Ireland are analyzed. The parameters obtained in this analysis are used to set up the developed models. Finally, the statistical properties of the trajectories generated by the three models are compared with the statistical properties of the considered wind speed data set.