Exact controllability of a wind turbine tower model in the plane of the turbine blades

Xiaowei Zhao, George Weiss

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We derive a model for a wind turbine tower in the plane of the turbine blades, consisting of a non-uniform SCOLE beam system coupled with a two-mass drive-train model (with gearbox). The control input of this wind turbine tower model is the torque created by the electrical generator. Using the theory of coupled linear systems developed by us recently, we show that this wind turbine tower model is well-posed and regular on either the energy state space X c or the domain of its generator on Xc, denoted by X 1c. We also show that generically, this model is exactly controllable on X1c in arbitrarily short time. More precisely, for every T > 0 we show that if we vary a certain parameter in the model, then exact controllability in time T holds for all except three values of the parameter.

Original languageEnglish
Title of host publication2010 49th IEEE Conference on Decision and Control, CDC 2010
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6914-6919
Number of pages6
ISBN (Print)9781424477456
DOIs
StatePublished - 2010
Event49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States
Duration: 15 Dec 201017 Dec 2010

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Conference

Conference49th IEEE Conference on Decision and Control, CDC 2010
Country/TerritoryUnited States
CityAtlanta
Period15/12/1017/12/10

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