Journal cover Journal topic
Wind Energy Science The interactive open-access journal of the European Academy of Wind Energy
https://doi.org/10.5194/wes-2017-1
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Research articles
06 Feb 2017
Review status
This discussion paper is a preprint. A revision of this manuscript was accepted for the journal Wind Energy Science (WES) and is expected to appear here in due course.
3D Shear layer simulation model for the mutual interaction of wind turbine wakes: Description and first assessment
Davide Trabucchi, Lukas Vollmer, and Martin Kühn ForWind - University of Oldenburg, Institute of Physics, Küpkersweg, 70, 26129 Oldenburg, Germany
Abstract. The number of turbines installed in offshore wind farms has strongly increased in the last years and at the same time the need for more precise estimation of the wind farm efficiency. In this sense, the interaction between wakes has become a relevant aspect for the definition of a wind farm layout, for the assessment of its annual energy yield and for the evaluation of wind turbine fatigue loads. For this reason, accurate models for multiple wakes are a main concern of the wind energy community. Existing engineering models can only simulate single wakes which are superimposed when they are interacting in a wind farm. This method is a practical solution, but it is not fully supported by a physical background. The limitation to single wakes is given by the assumption that the wake is axisymmetric. As alternative, we propose a new shear layer model which is based on the existing engineering wake models, but is extended to simulate also non-axisymmetric wakes. In this paper, we present the theoretical background of the model and two application cases. First, we proved that for axisymmetric wakes the new model is equivalent to a commonly used engineering model. Then, we evaluated the improvements of the new model for the simulation of multiple wakes using large eddy simulations as reference. In particular, we report the improvements of the new model in comparison to a sum-of-squares superposition approach for the simulation of three interacting wakes. The remarkable lower deviation from the reference in terms of rotor equivalent wind speed considering two and three interacting wakes encourages the further development of the model, and promises a successful application for the simulation of wind farms.

Citation: Trabucchi, D., Vollmer, L., and Kühn, M.: 3D Shear layer simulation model for the mutual interaction of wind turbine wakes: Description and first assessment, Wind Energ. Sci. Discuss., https://doi.org/10.5194/wes-2017-1, in review, 2017.
Davide Trabucchi et al.
Davide Trabucchi et al.

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Short summary
The wake of wind turbines causes losses in the energy production of a wind farm. The accuracy of models applied to predict wake losses is a key factor for new offshore wind projects. This paper presents an engineering wake model which can simulate merging wakes on the basis of physical principles. We used high fidelity simulations of merging wakes to assess this model and found a better agreement with the reference than using the superposition of single wakes commonly used in other models.
The wake of wind turbines causes losses in the energy production of a wind farm. The accuracy of...
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