Chen, Chao;
Duffour, Philippe;
Fromme, Paul;
Shen, Xiujiang;
Hua, Xugang;
Chen, Zhengqing;
(2022)
Simplified complex-valued modal model for operating wind turbines through aerodynamic decoupling and multi-blade coordinate transformation.
Journal of Sound and Vibration
, 547
, Article 117512. 10.1016/j.jsv.2022.117512.
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Abstract
An efficient modelling methodology for steady-state operating wind turbines is proposed, combining aerodynamic decoupling, multi-blade coordinate transformation, and modal reduction. This leads to a complex-valued, reduced-order modal model for prediction of dynamic responses of the tower-rotor-blade wind turbine system, considering rotor rotation, blade flexibility, and vibration coupling between rotor and tower. A fully coupled finite element model was first developed, with aerodynamic forces linearised and expressed as a viscous aerodynamic damping matrix. A time-invariant state space model is formed using multi-blade coordinate transformation, allowing standard modal analysis. The complex-valued eigenvalues and mode shapes were obtained, and it is shown that the operating wind turbine modes exhibit a combination of tower and blade vibrations. Various degrees of modal reduction are applied to the state space model to obtain a modal model with fewer degrees of freedom, whose performance was evaluated in the time and frequency domain for operating wind turbines in normal condition. The displacement and stress responses are in close agreement with those of the fully coupled model with the first 21 modes included. The model already performs well with 8 modes considered to capture relevant fundamental frequency peaks. This allows significantly reduced computational effort and can be particularly beneficial for fatigue prediction, reliability analysis, and structural identification.
| Type: | Article |
|---|---|
| Title: | Simplified complex-valued modal model for operating wind turbines through aerodynamic decoupling and multi-blade coordinate transformation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jsv.2022.117512 |
| Publisher version: | https://doi.org/10.1016/j.jsv.2022.117512 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions. |
| Keywords: | Wind turbines, Aerodynamic damping, Multi-blade coordinate transformation, Complex modal analysis |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Civil, Environ and Geomatic Eng UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10162185 |
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