Flexible wind speed generation model: Markov chain with an embedded diffusion process

Abstract This paper is devoted to proposing a flexible continuous wind speed model based on mixtures of Markov chain and stochastic differential equations. The motivations are as follows: (a) the model is intended to generate wind speed sequence with statistical properties similar to the observed wind speed for a particular site. (b) The model is intended to generate long-term wind speed patterns with high frequency when necessary. This model is flexible enough to generate wind speed at different timescales without time-length limitation. Different stochastic differential equations which express various environmental conditions and behaviors can be used in the model, make the proposed model adapt for various configurations. Two forms of stochastic differential equations have already been studied in this paper; other forms could be applied to this model according to the user's requirement. A sequence of generated wind speed is applied to a wind turbine simulator as an application example. Having low computational requirement is another advantage of the model.

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