Scaling DMD modes for modeling Dynamic Induction Control wakes in various wind speeds

Jonas Gutknecht*, Marcus Becker, Claudia Muscari, Thorsten Lutz, Jan Willem Van Wingerden

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

Abstract

Dynamic Mode Decomposition (DMD) is a fully data-driven method to extract a linear system from experimental or numerical data. It has proven its suitability for modeling wind turbine wakes, particularly those generated with Dynamic Induction Control (DIC), a method to reduce the wake deficit by enhancing its mixing with the surrounding flow. In this context, DMD may be used to build computationally efficient aerodynamic models suitable for model-based wind farm control algorithms. However, these standard DMD models are only valid for the flow conditions of the training data. This paper presents a novel approach to generalize a DMD model for DIC wakes from the training wind speed to various wind speeds by scaling the DMD modes. For this purpose, we first extract the DMD modes from numerical simulations of a DIC wake at a constant, homogeneous wind speed. Then, we adapt the obtained modes to a different wind speed with a scaling law for the frequency and magnitude derived from the definition of the Strouhal number. This allows for a versatile, efficient application of the DMD model in heterogeneous wind conditions at low computational costs. For validating the presented method, we model a helix wake at 6 ms-1 based on the DMD modes from Large Eddy Simulations (LES) at 9 ms-1. The DMD model coincides at a high level with validation simulations, resolving even mid- to small-scale structures.

Original languageEnglish
Title of host publicationProceedings of the 2023 IEEE Conference on Control Technology and Applications, CCTA 2023
PublisherIEEE
Pages574-580
ISBN (Electronic)979-8-3503-3544-6
DOIs
Publication statusPublished - 2023
Event2023 IEEE Conference on Control Technology and Applications, CCTA 2023 - Bridgetown, Barbados
Duration: 16 Aug 202318 Aug 2023

Conference

Conference2023 IEEE Conference on Control Technology and Applications, CCTA 2023
Country/TerritoryBarbados
CityBridgetown
Period16/08/2318/08/23

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

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