Work

Polynomial Stability of Wind Turbine Tower Models

Year: 2026

Type: article

Abstract: . We investigate the stabilization of mathematical models describing the structural dynamics of a monopile wind turbine tower. In the fore-aft plane, we show that the system becomes polynomially stable with an energy decay rate of [Formula: see text] under static output feedback that relies on the velocity and/or angular velocity of the nacelle. We also prove that a tuned mass damper (TMD) in the nacelle ensures polynomial stability with the same energy decay rate, offering a viable alternative to active control. In the side-to-side plane, we analyze a model incorporating a hydraulic power transmission system and prove that feedback from the nacelle’s angular velocity and the generator load torque leads to polynomial stability of the closed-loop system.

Source: SIAM Journal on Control and Optimization

DOI: 10.1137/25m1746847

Authors: Mohamed Fkirine, Lassi Paunonen

Institutions: Tampere University, University of Tampere

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Academy of Finland

Award: Stability and Control of Hyperbolic Partial Differential Equations