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Towards a Simplified DynamicWake Model Using POD Analysis

Author

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  • David Bastine

    (Institute of Physics, ForWind, University of Oldenburg, Ammerländer Herrstr. 136, 26129 Oldenburg, Germany)

  • Björn Witha

    (Institute of Physics, ForWind, University of Oldenburg, Ammerländer Herrstr. 136, 26129 Oldenburg, Germany)

  • Matthias Wächter

    (Institute of Physics, ForWind, University of Oldenburg, Ammerländer Herrstr. 136, 26129 Oldenburg, Germany)

  • Joachim Peinke

    (Institute of Physics, ForWind, University of Oldenburg, Ammerländer Herrstr. 136, 26129 Oldenburg, Germany)

Abstract

We apply a modified proper orthogonal decomposition (POD) to large eddy simulation data of a wind turbine wake in a turbulent atmospheric boundary layer. The turbine is modeled as an actuator disk. Our analysis mainly focuses on the pragmatic identification of spatial modes, which yields a low order description of the wake flow. This reduction to a few degrees of freedom is a crucial first step for the development of simplified dynamic wake models based on modal decompositions. It is shown that only a few modes are necessary to capture the basic dynamical aspects of quantities that are relevant to a turbine in the wake flow. Furthermore, we show that the importance of the individual modes depends on the relevant quantity chosen. Therefore, the optimal choice of modes for a possible model could in principle depend on the application of interest. We additionally present a possible interpretation of the extracted modes by relating them to the specific properties of the wake. For example, the first mode is related to the horizontal large-scale movement.

Suggested Citation

  • David Bastine & Björn Witha & Matthias Wächter & Joachim Peinke, 2015. "Towards a Simplified DynamicWake Model Using POD Analysis," Energies, MDPI, vol. 8(2), pages 1-26, January.
    • Handle: RePEc:gam:jeners:v:8:y:2015:i:2:p:895-920:d:45213
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    References listed on IDEAS

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    1. Fleming, Paul A. & Gebraad, Pieter M.O. & Lee, Sang & van Wingerden, Jan-Willem & Johnson, Kathryn & Churchfield, Matt & Michalakes, John & Spalart, Philippe & Moriarty, Patrick, 2014. "Evaluating techniques for redirecting turbine wakes using SOWFA," Renewable Energy, Elsevier, vol. 70(C), pages 211-218.
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    Cited by:

    1. De Cillis, Giovanni & Cherubini, Stefania & Semeraro, Onofrio & Leonardi, Stefano & De Palma, Pietro, 2022. "Stability and optimal forcing analysis of a wind turbine wake: Comparison with POD," Renewable Energy, Elsevier, vol. 181(C), pages 765-785.
    2. Rockel, Stanislav & Peinke, Joachim & Hölling, Michael & Cal, Raúl Bayoán, 2017. "Dynamic wake development of a floating wind turbine in free pitch motion subjected to turbulent inflow generated with an active grid," Renewable Energy, Elsevier, vol. 112(C), pages 1-16.
    3. Dar, Arslan Salim & Porté-Agel, Fernando, 2022. "Wind turbine wakes on escarpments: A wind-tunnel study," Renewable Energy, Elsevier, vol. 181(C), pages 1258-1275.

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