Quasi Linear Parameter Varying modeling for wind farm control using the 2D Navier-Stokes equations

Sjoerd Boersma, Mehdi Vali, Martin Kuhn, Jan Willem Van Wingerden

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

10 Citations (Scopus)


Controlling the flow within wind farms, to increase the overall energy capture and to reduce the fatigue loads, is a challenging control problem due to its size and the underlying time-varying dynamics. State-of-the-art wind farm controllers follow the open-loop control paradigm by computing optimal set-points using static models. However, due to the time-varying inflow conditions and uncertain flow dynamics the closed-loop control paradigm should be used. In this work, a control-oriented quasi Linear Parameter Varying (LPV) descriptor model will be derived using the two dimensional (2D) Navier-Stokes equations. Sparsity of the system matrices make it possible to use this model for closed-loop controller synthesis. Some key features of the approach will be presented using a two turbine test case.

Original languageEnglish
Title of host publicationProceedings of the 2016 American Control Conference (ACC 2016)
EditorsK. Johnson, G. Chiu, D. Abramovitch
Place of PublicationPiscataway, NJ, USA
ISBN (Electronic)978-1-4673-8682-1
ISBN (Print)978-1-4673-8683-8
Publication statusPublished - 2016
EventAmerican Control Conference (ACC), 2016 - Boston, MA, United States
Duration: 6 Jul 20168 Jul 2016


ConferenceAmerican Control Conference (ACC), 2016
Abbreviated titleACC 2016
CountryUnited States
CityBoston, MA


  • Navier-Stokes equations
  • Sparsity
  • Wakes
  • Wind farm
  • Wind modeling

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