This paper presents a wavelet-based strategy for fore-aft vibration control of onshore horizontal axis wind turbine tower. For this purpose, an active tuned mass damper is combined with an aero-servo-elastic turbine model in the multi-body framework. The combined system is exposed to turbulent wind and seismic ground motion to investigate the controller performance in extreme operating conditions. The optimal tuning is achieved by frequencydependent gain scheduling via wavelet transform. Analytic Morse wavelet is used as a basis function for transforming the input and feedback to recast the classical linear quadratic regulator (LQR) in the time-frequency domain over a finite time horizon. The scale-dependent differential Riccati equations are solved for optimal gains, which are used to estimate the optimal control force.Numerical studies presented in this paper demonstrate the advantage of the proposed gain scheduling over classical LQR. The efficiency of the proposed algorithm is verified using different flow conditions and seismic input, where the performance is compared with benchmark results.active tuned mass damper, continuous wavelet transform, horizontal axis wind turbine, LQR control, Riccati equation | INTRODUCTIONGlobal wind power generation has experienced rapid growth in the recent past due to the ever-increasing demand for carbon-free renewable energy. As the power production of a horizontal axis wind turbine (HAWT) depends on its rotor area, modern multi-megawatt turbines are taller to accommodate ultra-large blades. These slender towers undergo severe vibration when exposed to in-flowing wind. Thus, tower vibration control is an essential component for safe and sustained operation. It helps to provide a stable platform at the tower top, which is a primary requirement for housing the generator, drive-train and rotor assembly. For this purpose, various control strategies (i.e., passive or active/semiactive) are proposed in the literature. [1][2][3][4] Among them, passive devices (e.g., ball/roller dampers, 5 tuned mass damper, 6 liquid dampers 7,8 and tuned liquid column damper [9][10][11] ) are relatively simpler as they do not need external power and real-time monitoring. Tuned mass damper, in particular, has been adopted by the wind turbine industry for commercial use. [12][13][14] These controllers are installed inside the nacelle, which has one degree of freedom corresponding to the mass of this passive device. It is tuned to the fundamental frequency of the tower and hence absorbs a significant amount of energy from the primary structure (i.e., HAWT) using resonance. TMD has been used in mitigating wind-induced
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