Abstract
This paper investigates the vibration control, stability, and energy transfer of the offshore wind turbine tower system with control force and nonlinearity terms. A nonlinear proportional derivative (NPD) controller was connected to the system to reduce a high oscillation amplitude and to transfer the energy in the wind turbine system. Furthermore, the averaging method and Poincaré maps were used with respect to the controlled system to study the stability and bifurcation analysis in the worst resonance cases. The curves of force response and frequency response were plotted before and after the control unit was added to the wind turbine system. In addition, we discuss the performances of the control parameters on the vibration magnitudes. Numerical simulations were carried out with Maple and Matlab algorithms to confirm the analytical results. The results show the effectiveness of the NPD controller in suppressing the nonlinear oscillations of the wind turbine system.
Highlights
In recent decades, renewable energy has been constantly increasing on a worldwide scale.The production of wind energy is considered one of the most cost-effective projects [1,2].Vibration isolation and the effect of earthquake forces on behavior have been investigated for the structures of wind turbines
The approach of active fault-tolerant control with “added value” as a fault tolerant system was applied to enhance the sustainability of a wind turbine in an offshore environment [4]
The technique of passive control with tuned mass dampers was used to mitigate the oscillations of spars and offshore wind turbine nacelles [5]
Summary
Renewable energy has been constantly increasing on a worldwide scale. Vibration isolation and the effect of earthquake forces on behavior have been investigated for the structures of wind turbines. The effect of parameters on the response of the turbine structure, including the blades, has been studied, and the responses were simulated using the finite element method [3]. Mathematical analysis, uniqueness, existence, and simulations of the multi-time scale for wind turbines dynamics under control limits were studied [7]. Numerical simulations were performed to evaluate the dynamics of an offshore wind turbine tower with two different approaches [9]. The passive control approach was performed to study system behavior under multiple types of excitation forces [11,12,13]. The averaging method and Poincaré maps were used with respect to the controlled system to study the stability and bifurcation analysis in the worst resonance cases. The curves of force response and frequency response were plotted before and after the control unit was added to the wind turbine system
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