TY - JOUR

T1 - Suppression of the vibrations of wind turbine towers

AU - Zhao, Xiaowei

AU - Weiss, George

N1 - Funding Information:
The first author’s research was supported by an Engineering and Physical Sciences Research Council International Doctoral Scholarship an Overseas Research Students Awards Scheme Award and a British Council Researcher Exchange Programme Award, during his Ph.D. study at Imperial College, London. The research of the second author in the area of coupled systems is supported by the grant 701/10 of the Israel Science Foundation.

PY - 2011/9

Y1 - 2011/9

N2 - We investigate the suppression of the vibrations of a wind turbine tower using colocated feedback to achieve strong stability. We decompose the system into one model describing the vibrations in the plane of the turbine axis and another model in the plane of the turbine blades. In the plane of the turbine axis, we obtain a non-uniform Spacecraft Control Laboratory Experiment (SCOLE) model with either force control or torque control. We show that this system is strongly stabilizable by static output feedback from either the velocity or the angular velocity of the nacelle. In the plane of the turbine blades, we model the wind turbine tower as a non-uniform SCOLE system coupled with a two-mass drive-train model, the control being the torque created by the electrical generator. We prove that generically, this system can be strongly stabilized by feedback from the angular velocity of the nacelle and the angular velocity of the generator rotor.

AB - We investigate the suppression of the vibrations of a wind turbine tower using colocated feedback to achieve strong stability. We decompose the system into one model describing the vibrations in the plane of the turbine axis and another model in the plane of the turbine blades. In the plane of the turbine axis, we obtain a non-uniform Spacecraft Control Laboratory Experiment (SCOLE) model with either force control or torque control. We show that this system is strongly stabilizable by static output feedback from either the velocity or the angular velocity of the nacelle. In the plane of the turbine blades, we model the wind turbine tower as a non-uniform SCOLE system coupled with a two-mass drive-train model, the control being the torque created by the electrical generator. We prove that generically, this system can be strongly stabilized by feedback from the angular velocity of the nacelle and the angular velocity of the generator rotor.

KW - SCOLE model

KW - strong stabilization

KW - wind turbine tower model

UR - http://www.scopus.com/inward/record.url?scp=80053233563&partnerID=8YFLogxK

U2 - 10.1093/imamci/dnr014

DO - 10.1093/imamci/dnr014

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AN - SCOPUS:80053233563

SN - 0265-0754

VL - 28

SP - 377

EP - 389

JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

IS - 3

ER -