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Energies 2018, 11(3), 612; https://doi.org/10.3390/en11030612

Stochastic Wake Modelling Based on POD Analysis

1
AG TWiSt, Institute of Physics, ForWind, University of Oldenburg, Küpkersweg 70, 26129 Oldenburg, Germany
2
Fraunhofer Institute for Wind Energy Systems IWES, Am Seedeich 45, 27572 Bremerhaven, Germany
*
Author to whom correspondence should be addressed.
Received: 19 January 2018 / Revised: 19 February 2018 / Accepted: 26 February 2018 / Published: 9 March 2018
(This article belongs to the Special Issue Wind Turbine Loads and Wind Plant Performance)
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Abstract

In this work, large eddy simulation data is analysed to investigate a new stochastic modeling approach for the wake of a wind turbine. The data is generated by the large eddy simulation (LES) model PALM combined with an actuator disk with rotation representing the turbine. After applying a proper orthogonal decomposition (POD), three different stochastic models for the weighting coefficients of the POD modes are deduced resulting in three different wake models. Their performance is investigated mainly on the basis of aeroelastic simulations of a wind turbine in the wake. Three different load cases and their statistical characteristics are compared for the original LES, truncated PODs and the stochastic wake models including different numbers of POD modes. It is shown that approximately six POD modes are enough to capture the load dynamics on large temporal scales. Modeling the weighting coefficients as independent stochastic processes leads to similar load characteristics as in the case of the truncated POD. To complete this simplified wake description, we show evidence that the small-scale dynamics can be captured by adding to our model a homogeneous turbulent field. In this way, we present a procedure to derive stochastic wake models from costly computational fluid dynamics (CFD) calculations or elaborated experimental investigations. These numerically efficient models provide the added value of possible long-term studies. Depending on the aspects of interest, different minimalized models may be obtained. View Full-Text
Keywords: wake model; POD; stochastic process; coherent structures; loads; wind turbine; wind turbine loads wake model; POD; stochastic process; coherent structures; loads; wind turbine; wind turbine loads
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Bastine, D.; Vollmer, L.; Wächter, M.; Peinke, J. Stochastic Wake Modelling Based on POD Analysis. Energies 2018, 11, 612.

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