Predictive and stochastic reduced-order modeling of wind turbine wake dynamics

<p>This article presents a reduced-order model of the highly turbulent wind turbine wake dynamics. The model is derived using a large eddy simulation (LES) database, which cover a range of different wind speeds. The model consists of several sub-models: (1) dimensionality reduction using prope...

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Main Authors: S. J. Andersen, J. P. Murcia Leon
Format: Article
Language:English
Published: Copernicus Publications 2022-10-01
Series:Wind Energy Science
Online Access:https://wes.copernicus.org/articles/7/2117/2022/wes-7-2117-2022.pdf
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author S. J. Andersen
J. P. Murcia Leon
author_facet S. J. Andersen
J. P. Murcia Leon
author_sort S. J. Andersen
collection DOAJ
description <p>This article presents a reduced-order model of the highly turbulent wind turbine wake dynamics. The model is derived using a large eddy simulation (LES) database, which cover a range of different wind speeds. The model consists of several sub-models: (1) dimensionality reduction using proper orthogonal decomposition (POD) on the global database, (2) projection in modal coordinates to get time series of the dynamics, (3) interpolation over the parameter space that enables the prediction of unseen cases, and (4) stochastic time series generation to generalize the modal dynamics based on spectral analysis. The model is validated against an unseen LES case in terms of the modal time series properties as well as turbine performance and aero-elastic responses. The reduced-order model provides LES accuracy and comparable distributions of all channels. Furthermore, the model provides substantial insights about the underlying flow physics, how these change with respect to the thrust coefficient <span class="inline-formula"><i>C</i><sub>T</sub></span>, and whether the model is constructed for single wake or deep array conditions. The predictive and stochastic capabilities of the reduced-order model can effectively be viewed as a generalization of a LES for statistically stationary flows, and the model framework can be applied to other flow cases than wake dynamics behind wind turbines.</p>
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spelling doaj.art-d83d9c1258d4418c8e95f57e50ec4e1d2022-12-22T02:40:44ZengCopernicus PublicationsWind Energy Science2366-74432366-74512022-10-0172117213310.5194/wes-7-2117-2022Predictive and stochastic reduced-order modeling of wind turbine wake dynamicsS. J. Andersen0J. P. Murcia Leon1Department of Wind and Energy Systems, Technical University of Denmark, Anker Engelunds Vej 1, 2800 Kgs Lyngby, DenmarkDepartment of Wind and Energy Systems, Technical University of Denmark, Frederiksborgvej 399, 4000 Roskilde, Denmark<p>This article presents a reduced-order model of the highly turbulent wind turbine wake dynamics. The model is derived using a large eddy simulation (LES) database, which cover a range of different wind speeds. The model consists of several sub-models: (1) dimensionality reduction using proper orthogonal decomposition (POD) on the global database, (2) projection in modal coordinates to get time series of the dynamics, (3) interpolation over the parameter space that enables the prediction of unseen cases, and (4) stochastic time series generation to generalize the modal dynamics based on spectral analysis. The model is validated against an unseen LES case in terms of the modal time series properties as well as turbine performance and aero-elastic responses. The reduced-order model provides LES accuracy and comparable distributions of all channels. Furthermore, the model provides substantial insights about the underlying flow physics, how these change with respect to the thrust coefficient <span class="inline-formula"><i>C</i><sub>T</sub></span>, and whether the model is constructed for single wake or deep array conditions. The predictive and stochastic capabilities of the reduced-order model can effectively be viewed as a generalization of a LES for statistically stationary flows, and the model framework can be applied to other flow cases than wake dynamics behind wind turbines.</p>https://wes.copernicus.org/articles/7/2117/2022/wes-7-2117-2022.pdf
spellingShingle S. J. Andersen
J. P. Murcia Leon
Predictive and stochastic reduced-order modeling of wind turbine wake dynamics
Wind Energy Science
title Predictive and stochastic reduced-order modeling of wind turbine wake dynamics
title_full Predictive and stochastic reduced-order modeling of wind turbine wake dynamics
title_fullStr Predictive and stochastic reduced-order modeling of wind turbine wake dynamics
title_full_unstemmed Predictive and stochastic reduced-order modeling of wind turbine wake dynamics
title_short Predictive and stochastic reduced-order modeling of wind turbine wake dynamics
title_sort predictive and stochastic reduced order modeling of wind turbine wake dynamics
url https://wes.copernicus.org/articles/7/2117/2022/wes-7-2117-2022.pdf
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AT jpmurcialeon predictiveandstochasticreducedordermodelingofwindturbinewakedynamics