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Mathematics > Optimization and Control

arXiv:2210.17347 (math)
[Submitted on 31 Oct 2022 (v1), last revised 27 Mar 2023 (this version, v2)]

Title:Optimal Control for Wind Turbine Wake Mixing on Floating Platforms

Authors:Maarten J. van den Broek, Daniel van den Berg, Benjamin Sanderse, Jan-Willem van Wingerden
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Abstract:Dynamic induction control is a wind farm flow control strategy that utilises wind turbine thrust variations to accelerate breakdown of the aerodynamic wake and improve downstream turbine performance. However, when floating wind turbines are considered, additional dynamics and challenges appear that make optimal control difficult. In this work, we propose an adjoint optimisation framework for non-linear economic model-predictive control, which utilises a novel coupling of an existing aerodynamic wake model to floating platform hydrodynamics. Analysis of the frequency response for the coupled model shows that it is possible to achieve wind turbine thrust variations without inducing large motion of the rotor. Using economic model-predictive control, we find dynamic induction results that lead to an improvement of 7% over static induction control, where the dynamic controller stimulates wake breakdown with only small variations in rotor displacement. This novel model formulation provides a starting point for the adaptation of dynamic wind farm flow control strategies for floating wind turbines.
Comments: 6 pages, 8 figures, accepted for publication for IFAC World Congress 2023
Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY); Fluid Dynamics (physics.flu-dyn)
Cite as: arXiv:2210.17347 [math.OC]
  (or arXiv:2210.17347v2 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.2210.17347

Submission history

From: Maarten van den Broek [view email]
[v1] Mon, 31 Oct 2022 14:15:53 UTC (1,922 KB)
[v2] Mon, 27 Mar 2023 14:22:52 UTC (3,930 KB)
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