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

Peter J Seiler Jr, Arda Ozdemir

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 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 languageEnglish (US)
Title of host publication2013 American Control Conference, ACC 2013
Pages1442-1447
Number of pages6
StatePublished - Sep 11 2013
Event2013 1st American Control Conference, ACC 2013 - Washington, DC, United States
Duration: Jun 17 2013Jun 19 2013

Publication series

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

Other

Other2013 1st American Control Conference, ACC 2013
CountryUnited States
CityWashington, DC
Period6/17/136/19/13

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