Abstract Current wind turbine modelling packages mainly adopt a complex methodology in which aerodynamic forces are coupled with the motion of the wind turbine components at every time step. This can result in long simulation run times, detrimental for the large number of simulations required for fatigue or reliability analyses. This contribution presents an efficient wind turbine modelling methodology based on blade element momentum theory and a linearization of the aerodynamic forces. This allows the wind-rotor interaction to be reduced to static forces applied at the tower top, with additional terms proportional to the tower velocities expressed as an aerodynamic damping matrix. This aerodynamic model was implemented as part of a finite element model of the tower and was successfully verified against the fully-coupled modelling package FAST. The damping matrix components explain key features of the coupling between fore-aft and side-side vibrations of the wind turbine. This coupling causes energy transfers between the two directions, complicating aerodynamic damping identification. The aerodynamic damping matrix offers novel insights and an efficient method to describe the aerodynamic damping of wind turbines.

中文翻译：

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通过空气动力学阻尼矩阵模拟风力涡轮机塔-转子相互作用

摘要 当前的风力涡轮机建模软件包主要采用复杂的方法，其中空气动力与风力涡轮机部件在每个时间步长的运动相耦合。这会导致仿真运行时间过长，不利于疲劳或可靠性分析所需的大量仿真。这一贡献提出了一种基于叶片元件动量理论和空气动力线性化的高效风力涡轮机建模方法。这允许将风-转子相互作用减少为施加在塔顶的静力，附加项与塔速度成正比，表示为空气动力学阻尼矩阵。该空气动力学模型作为塔架有限元模型的一部分实施，并通过全耦合建模包 FAST 成功验证。阻尼矩阵分量解释了风力涡轮机前后振动和侧向振动之间耦合的关键特征。这种耦合导致两个方向之间的能量传递，使空气动力学阻尼识别变得复杂。气动阻尼矩阵提供了新的见解和有效的方法来描述风力涡轮机的气动阻尼。