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

Xiaowei Zhao; George Weiss

doi:10.1109/CDC.2010.5717344

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

Xiaowei Zhao^*, George Weiss

^*Corresponding author for this work

School of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-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 X^c, denoted by X ₁^c. We also show that generically, this model is exactly controllable on X₁^c 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 language	English
Title of host publication	2010 49th IEEE Conference on Decision and Control, CDC 2010
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6914-6919
Number of pages	6
ISBN (Print)	9781424477456
DOIs	https://doi.org/10.1109/CDC.2010.5717344
State	Published - 2010
Event	49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, United States Duration: 15 Dec 2010 → 17 Dec 2010

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	49th IEEE Conference on Decision and Control, CDC 2010
Country/Territory	United States
City	Atlanta
Period	15/12/10 → 17/12/10

Access to Document

10.1109/CDC.2010.5717344

Cite this

Zhao, X., & Weiss, G. (2010). Exact controllability of a wind turbine tower model in the plane of the turbine blades. In 2010 49th IEEE Conference on Decision and Control, CDC 2010 (pp. 6914-6919). Article 5717344 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2010.5717344

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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.",

author = "Xiaowei Zhao and George Weiss",

year = "2010",

doi = "10.1109/CDC.2010.5717344",

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booktitle = "2010 49th IEEE Conference on Decision and Control, CDC 2010",

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note = "49th IEEE Conference on Decision and Control, CDC 2010 ; Conference date: 15-12-2010 Through 17-12-2010",

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Zhao, X & Weiss, G 2010, Exact controllability of a wind turbine tower model in the plane of the turbine blades. in 2010 49th IEEE Conference on Decision and Control, CDC 2010., 5717344, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 6914-6919, 49th IEEE Conference on Decision and Control, CDC 2010, Atlanta, United States, 15/12/10. https://doi.org/10.1109/CDC.2010.5717344

Exact controllability of a wind turbine tower model in the plane of the turbine blades. / Zhao, Xiaowei; Weiss, George.
2010 49th IEEE Conference on Decision and Control, CDC 2010. Institute of Electrical and Electronics Engineers Inc., 2010. p. 6914-6919 5717344 (Proceedings of the IEEE Conference on Decision and Control).

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

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

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