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This article is devoted to the study of the vibration control for blades and tower in a wind turbine. Based on the Euler–Lagrangian method, a multi-body dynamic model including three blades with distributed parameter, tower, and their coupling is obtained. Multi active tuned mass dampers have been utilizing as damping devices. Therefore, the dynamics of the tuned mass dampers are also considered in modeling. The influence of extreme wind, and grid dynamics on the vibration of the blade was analyzed. Moreover, the nonlinearity induced by space constraints, which impact on vibration control, is introduced. For active control, the constrained decentralized control strategy is designed via linear matrix inequality which tuned mass dampers stroke constraints are modeled as hard constraints. A doubly fed induction generator connected to an infinite bus including the detailed electrical and structural model was performed on MATLAB/Simulink. Simulation results show that the control strategy can effectively reduce the vibration of the blade while the damper stroke satisfies the working space permitted by the blade. Investigations demonstrate promising results for decentralized constrained control in simultaneous control blade vibrations and tower vibrations. Each actuator is driven separately from the output of the corresponding sensor so that only local feedback control is achieved; this improves the system reliability.

Decentralized control of vibrations in wind turbines using multiple active tuned mass dampers with stroke constraint