A control-oriented dynamic wind farm flow model: "WFSim"

S. Boersma, P. M O Gebraad, M. Vali, B. M. Doekemeijer, J. W. Van Wingerden

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

27 Citations (Scopus)
54 Downloads (Pure)


In this paper, we present and extend the dynamic medium fidelity control-oriented Wind Farm Simulator (WFSim) model. WFSim resolves flow fields in wind farms in a horizontal, two dimensional plane. It is based on the spatially and temporally discretised two dimensional Navier-Stokes equations and the continuity equation and solves for a predefined grid and wind farm topology. The force on the flow field generated by turbines is modelled using actuator disk theory. Sparsity in system matrices is exploited in WFSim, which enables a relatively fast flow field computation. The extensions to WFSim we present in this paper are the inclusion of a wake redirection model, a turbulence model and a linearisation of the nonlinear WFSim model equations. The first is important because it allows us to carry out wake redirection control and simulate situations with an inflow that is misaligned with the rotor plane. The wake redirection model is validated against a theoretical wake centreline known from literature. The second extension makes WFSim more realistic because it accounts for wake recovery. The amount of recovery is validated using a high fidelity simulation model Simulator fOr Wind Farm Applications (SOWFA) for a two turbine test case. Finally, a linearisation is important since it allows the application of more standard analysis, observer and control techniques.

Original languageEnglish
Title of host publicationJournal of Physics - Conference Series
Subtitle of host publicationThe Science of Making Torque from Wind (TORQUE 2016)
Place of PublicationBristol, UK
PublisherIOP Publishing
Number of pages11
Edition B. Wind, wakes, turbulence and wind farms
Publication statusPublished - 2016
EventTORQUE 2016: 6th International Conference "The Science of Making Torque from Wind" - Technische Universität München (TUM), Campus Garching, Munich, Germany
Duration: 5 Oct 20167 Oct 2016

Publication series

NameJournal of Physics - Conference Series
NumberB. Wind, wakes, turbulence and wind farms
ISSN (Print)1742-6588
ISSN (Electronic)1742-6596


ConferenceTORQUE 2016: 6th International Conference "The Science of Making Torque from Wind"
Internet address


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