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Analytical study on the aerodynamic and hydrodynamic damping of the platform in an operating spar-type floating offshore wind turbine

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  • Meng, Qingshen
  • Hua, Xugang
  • Chen, Chao
  • Zhou, Shuai
  • Liu, Feipeng
  • Chen, Zhengqing

Abstract

Accurate evaluation of aerodynamic damping and hydrodynamic damping is critical to response prediction and vibration control of spar-type floating offshore wind turbines. This paper presents a comprehensive analytical study of these two damping sources with respect to platform motions. Aerodynamic damping is evaluated by a newly derived aerodynamic damping matrix based on linearisation of aerodynamic resultant forces at tower top. Both radiation and viscous drag effects are considered for hydrodynamic damping. The former is analytically expressed in the form of a radiation damping matrix, while the latter is derived based on Morison's equation and strip theory. A simplified model is established based on the analytical damping expressions and successfully verified against FAST and Aqwa. Under various operational conditions, the damping ratios for different degrees of freedom of the platform are estimated using complex modal analysis. It is found that the modal damping ratios arising from different sources can be very different for different vibration modes of the platform, and the tower flexibility is proved to have negligible impact on the platform damping. For a typical operational state, surge, sway, pitch and yaw motions are highly damped, with the roll motion intermediately damped and the heave motion nearly undamped.

Suggested Citation

  • Meng, Qingshen & Hua, Xugang & Chen, Chao & Zhou, Shuai & Liu, Feipeng & Chen, Zhengqing, 2022. "Analytical study on the aerodynamic and hydrodynamic damping of the platform in an operating spar-type floating offshore wind turbine," Renewable Energy, Elsevier, vol. 198(C), pages 772-788.
    • Handle: RePEc:eee:renene:v:198:y:2022:i:c:p:772-788
    DOI: 10.1016/j.renene.2022.07.126
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    References listed on IDEAS

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    1. Liu, Xiong & Lu, Cheng & Li, Gangqiang & Godbole, Ajit & Chen, Yan, 2017. "Effects of aerodynamic damping on the tower load of offshore horizontal axis wind turbines," Applied Energy, Elsevier, vol. 204(C), pages 1101-1114.
    2. Karimirad, Madjid, 2013. "Modeling aspects of a floating wind turbine for coupled wave–wind-induced dynamic analyses," Renewable Energy, Elsevier, vol. 53(C), pages 299-305.
    3. Salehyar, Sara & Zhu, Qiang, 2015. "Aerodynamic dissipation effects on the rotating blades of floating wind turbines," Renewable Energy, Elsevier, vol. 78(C), pages 119-127.
    4. Koukoura, Christina & Natarajan, Anand & Vesth, Allan, 2015. "Identification of support structure damping of a full scale offshore wind turbine in normal operation," Renewable Energy, Elsevier, vol. 81(C), pages 882-895.
    5. Søren Christiansen & Thomas Bak & Torben Knudsen, 2013. "Damping Wind and Wave Loads on a Floating Wind Turbine," Energies, MDPI, vol. 6(8), pages 1-20, August.
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