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Mathematical model of stand-alone wind energy generating system considering wind as a correlated random process

A mathematical simulation model of a stand-alone wind power system for supplying power to consumers without access to electrical grid is developed. The model can be used in the formation of the system from existing components taking into account consumer energy demand and wind properties at the place where the system is located considered as a correlated in time random process. New indicators of the system performance are proposed. Results of numerical calculations demonstrating the importance of temporal variability of wind in determining the parameters of the wind power generating system, especially the battery capacity, are presented.