Simulation of correlated wind speed and power variates in wind parks

In this paper, we develop a simulation procedure to generate realistic, synthetic wind speed variates for wind parks. These wind variates are defined by their marginal Weibull distributions and their auto- and cross-correlations only. In order to deal with these two types of correlation simultaneously, a vector auto-regressive (VAR) model is used. Power output variates are obtained by applying the nonlinear turbine power curves to the correlated wind speed samples. The complete procedure is illustrated through a numerical example with a few turbines. A comparison is established between real wind time series from a wind park and synthetic wind variates simulated with similar, estimated underlying parameters.