An optimal time-invariant approximation for wind turbine dynamics using the multi-blade coordinate transformation

Peter J Seiler Jr; Arda Ozdemir

doi:10.1109/acc.2013.6580039

An optimal time-invariant approximation for wind turbine dynamics using the multi-blade coordinate transformation

Peter J Seiler Jr
, Arda Ozdemir

Aerospace Engineering and Mechanics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Scopus citations

Abstract

Wind turbines are subject to periodic loads that result in a time-varying 'trim' condition. Linearizing the nonlinear turbine dynamics around this trim condition yields a periodic, linear time-varying (PLTV) system. A linear time-invariant (LTI) approximation is typically obtained in two steps. First, the multi-blade coordinate transformation is applied to the PLTV system to obtain a weakly periodic system. Second, the state matrices of the weakly periodic system are averaged over one period to obtain an LTI approximation. This paper presents an alternative approach to construct optimal LTI approximations using convex optimization. It is also shown that the multi-blade coordinate transformation followed by averaging is equivalent to a special case of the proposed convex optimization procedure. The proposed approach is demonstrated on a linearized model of a utility-scale turbine.

Original language	English (US)
Title of host publication	2013 American Control Conference, ACC 2013
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1442-1447
Number of pages	6
ISBN (Print)	9781479901777
DOIs	https://doi.org/10.1109/acc.2013.6580039
State	Published - 2013
Event	2013 1st American Control Conference, ACC 2013 - Washington, DC, United States Duration: Jun 17 2013 → Jun 19 2013

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Other

Other	2013 1st American Control Conference, ACC 2013
Country/Territory	United States
City	Washington, DC
Period	6/17/13 → 6/19/13

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

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Seiler Jr, P. J., & Ozdemir, A. (2013). An optimal time-invariant approximation for wind turbine dynamics using the multi-blade coordinate transformation. In 2013 American Control Conference, ACC 2013 (pp. 1442-1447). Article 6580039 (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/acc.2013.6580039

An optimal time-invariant approximation for wind turbine dynamics using the multi-blade coordinate transformation. / Seiler Jr, Peter J; Ozdemir, Arda.
2013 American Control Conference, ACC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 1442-1447 6580039 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Seiler Jr, PJ & Ozdemir, A 2013, An optimal time-invariant approximation for wind turbine dynamics using the multi-blade coordinate transformation. in 2013 American Control Conference, ACC 2013., 6580039, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 1442-1447, 2013 1st American Control Conference, ACC 2013, Washington, DC, United States, 6/17/13. https://doi.org/10.1109/acc.2013.6580039

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An optimal time-invariant approximation for wind turbine dynamics using the multi-blade coordinate transformation

Abstract

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