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

doi:10.1109/ACC.2016.7525616

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

Team Raf Van de Plas

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

19 Citations (Scopus)

Abstract

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 language	English
Title of host publication	Proceedings of the 2016 American Control Conference (ACC 2016)
Editors	K. Johnson, G. Chiu, D. Abramovitch
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE
Pages	4409-4414
ISBN (Electronic)	978-1-4673-8682-1
ISBN (Print)	978-1-4673-8683-8
DOIs	https://doi.org/10.1109/ACC.2016.7525616
Publication status	Published - 2016
Event	American Control Conference (ACC), 2016 - Boston, MA, United States Duration: 6 Jul 2016 → 8 Jul 2016

Conference

Conference	American Control Conference (ACC), 2016
Abbreviated title	ACC 2016
Country/Territory	United States
City	Boston, MA
Period	6/07/16 → 8/07/16

Keywords

Navier-Stokes equations
Sparsity
Wakes
Wind farm
Wind modeling

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10.1109/ACC.2016.7525616

Cite this

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

abstract = "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.",

keywords = "Navier-Stokes equations, Sparsity, Wakes, Wind farm, Wind modeling",

author = "Sjoerd Boersma and Mehdi Vali and Martin Kuhn and {Van Wingerden}, {Jan Willem}",

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doi = "10.1109/ACC.2016.7525616",

language = "English",

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booktitle = "Proceedings of the 2016 American Control Conference (ACC 2016)",

publisher = "IEEE",

address = "United States",

note = "American Control Conference (ACC), 2016, ACC 2016 ; Conference date: 06-07-2016 Through 08-07-2016",

}

Boersma, S, Vali, M, Kuhn, M & Van Wingerden, JW 2016, Quasi Linear Parameter Varying modeling for wind farm control using the 2D Navier-Stokes equations. in K Johnson, G Chiu & D Abramovitch (eds), Proceedings of the 2016 American Control Conference (ACC 2016)., 7525616, IEEE, Piscataway, NJ, USA, pp. 4409-4414, American Control Conference (ACC), 2016, Boston, MA, United States, 6/07/16. https://doi.org/10.1109/ACC.2016.7525616

Quasi Linear Parameter Varying modeling for wind farm control using the 2D Navier-Stokes equations. / Boersma, Sjoerd; Vali, Mehdi; Kuhn, Martin et al.
Proceedings of the 2016 American Control Conference (ACC 2016). ed. / K. Johnson; G. Chiu; D. Abramovitch. Piscataway, NJ, USA: IEEE, 2016. p. 4409-4414 7525616.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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T1 - Quasi Linear Parameter Varying modeling for wind farm control using the 2D Navier-Stokes equations

AU - Boersma, Sjoerd

AU - Vali, Mehdi

AU - Kuhn, Martin

AU - Van Wingerden, Jan Willem

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

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

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Keywords

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