4.4 Article

A three-dimensional analytical model based on Gaussian distribution for wind-turbine wakes

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出版社

WILEY
DOI: 10.1002/ep.14302

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three-dimensional wake model; wake effect; wind shear effect; wind turbines

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This study proposes a new Gaussian-shaped three-dimensional wake model (3DG-k) considering the shear wind effect, and validates its accuracy using various data. The results show that the 3DG-k model outperforms other models in different scenarios. Due to its simplicity and universality, the model is of great significance for layout optimization and wake control of wind farms.
A Gaussian-shaped, three-dimensional (3DG-k) wake model is proposed considering the shear wind effect. The model defines the wake radius rw to be equal to twice the Gaussian standard deviation sigma and establishes a link with the expansion coefficient k of the physical wake boundary to describe the wake boundary. Garrad Hassan (GH) wind tunnel test data, Shiren wind farm measurement data, Nibe wind farm measurement data, and Vestas V80-2MW wind turbine computational data by large eddy simulation method are used to validate the accuracy of the 3DG-k, Jensen, 3D Gaussian (3DG), and 3D cosine (3D-C) models. Results show that the 3DG-k model exhibits higher accuracy for the four cases compared to other models. Due to its simplicity and universality, the model can be used for layout optimization and wake control of wind farms.

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