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Aeroelastic Stability Tool for Wind Turbines Stab-Turb

An aeroelastic stability tool (Stab-Turb) for predicting the natural frequencies, the damping and the mode shapes of a complete wind turbine in operation has been developed. It employs two node beam elements with six DOFs per node. A Lagrange formulation is used for deriving the equation of motion, where rigid body and elastic motion are separated; the former being explicitly handled.

The BEM method combined with a constant distribution of forces along the elements and Prandlt's tip correction is used for the aerodynamics. In an unsteady implementation, the Extended Onera lift and Drag model is used. To contemporary treat the aerodynamics and the dynamics, aerodynamic DOFs are introduced and they are combined with the structural ones in the so-called 'Aeroelastic Beam Element' (ABE), that comprises up to nine DOFs per node. In order to perform the stability analysis of the complete wind turbine in operation, a multi-blade transformation is introduced.

The method is capable for linear and non-linear integration of the equations of motion in the time domain, from which the stability limits are calculated through a modal analysis of the time simulations. With the stability tool is possible to perform a large number of parameter variations and even numerical optimisation in this process because these tools are based on eigenvalue analysis.

The tool has been extended to support closed loop operation of wind turbines under various control concepts.

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