<p>Horizontal-axis wind turbine blades are subject to edgewise and flapwise vibrations. Edgewise vibrations in particular can cause severe damage, as the blades have an extremely low modal damping factor in this direction. To address this issue, analytical solutions for three double inertia dynamic vibration absorbers (DIDVAs) are proposed. These DIDVAs are: the rotational inerter double-tuned mass damper (RID-TMD), the double mass dynamic vibration absorber (DMDVA), and the inerter-based dynamic vibration absorber C3 (IDVA-C3). Based on analytical models with three and four degrees of freedom and disregarding the insignificant damping factor of the blade in the edgewise direction, the extended fixed-point technique (EFPT) was applied to determine exact and approximate closed-form analytical solutions for each device. The existence of four invariant frequencies was demonstrated and the effect of the tuned damping factor was evaluated using approximate analytical solutions. Subsequently, by performing several simulations in the frequency domain, the proposed solutions of DIDVAs were thoroughly evaluated, based on the parameters and operating conditions of the NREL blade for variations in the mass ratio and the location of DIDVAs, with the blade in operation and parked. It was found that DMDVA outperforms TMD, while one of its dimensionless masses does not explicitly depend on the rotor angular velocity. Finally, comparisons were made between the tuning effect of DIDVAs and that of TMD and TMDI with the same level of inertance as IDVA-C3. This analysis revealed that DIDVAs mitigate the blade’s resonant peak by 20.69–22.61% and 21.36–23.25% relative to TMD and TMDI, respectively.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Closed-form analytical solutions of double inertia dynamic vibration absorbers for damping wind turbine blades

  • I. A. Maldonado-Bravo,
  • J. F. Gómez-Aguilar,
  • R. F. Escobar-Jiménez,
  • D. Granados-Lieberman

摘要

Horizontal-axis wind turbine blades are subject to edgewise and flapwise vibrations. Edgewise vibrations in particular can cause severe damage, as the blades have an extremely low modal damping factor in this direction. To address this issue, analytical solutions for three double inertia dynamic vibration absorbers (DIDVAs) are proposed. These DIDVAs are: the rotational inerter double-tuned mass damper (RID-TMD), the double mass dynamic vibration absorber (DMDVA), and the inerter-based dynamic vibration absorber C3 (IDVA-C3). Based on analytical models with three and four degrees of freedom and disregarding the insignificant damping factor of the blade in the edgewise direction, the extended fixed-point technique (EFPT) was applied to determine exact and approximate closed-form analytical solutions for each device. The existence of four invariant frequencies was demonstrated and the effect of the tuned damping factor was evaluated using approximate analytical solutions. Subsequently, by performing several simulations in the frequency domain, the proposed solutions of DIDVAs were thoroughly evaluated, based on the parameters and operating conditions of the NREL blade for variations in the mass ratio and the location of DIDVAs, with the blade in operation and parked. It was found that DMDVA outperforms TMD, while one of its dimensionless masses does not explicitly depend on the rotor angular velocity. Finally, comparisons were made between the tuning effect of DIDVAs and that of TMD and TMDI with the same level of inertance as IDVA-C3. This analysis revealed that DIDVAs mitigate the blade’s resonant peak by 20.69–22.61% and 21.36–23.25% relative to TMD and TMDI, respectively.