A control-oriented dynamic wind farm flow model

Conference paper (2016)

Authors

S. Boersma Team Raf Van de Plas - Mechanical, Maritime and Materials Engineering
P.M.O. Gebraad Siemens Wind Power
M. Vali University of Oldenburg
B.M. Doekemeijer Team Raf Van de Plas - Mechanical, Maritime and Materials Engineering
J.W. van Wingerden Team Raf Van de Plas - Mechanical, Maritime and Materials Engineering
Research Group
Team Raf Van de Plas (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2016 S. Boersma, P.M.O. Gebraad, M. Vali, B.M. Doekemeijer, J.W. van Wingerden
DOI
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https://doi.org/10.1088/1742-6596/753/3/032005
More Info
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Published Date

2016

Language

English

Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Raf Van de Plas

Abstract

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.