Vector model of wind for performance analysis of stand-alone wind power systems

A statistical model of speed of horizontal wind in the atmosphere, intended for estimating the efficiency of stand-alone wind power systems treated as nonlinear stochastic dynamic systems, is developed. The model is based on the representation of wind as a two-dimensional Gaussian–Markov random process. The method of calculating model parameters by using observation results of the wind magnitude and direction on the land-based weather station is presented. The model parameters are calculated for several locations in Russia. More precise and simplified variants of the model are proposed. The model adequacy is analyzed by comparing the system’s efficiency indexes with their reference values.