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On the spectral behaviour of the turbulence-driven power fluctuations of horizontal-axis turbines

Published online by Cambridge University Press:  06 October 2020

Georgios Deskos Open the ORCID record for Georgios Deskos [Opens in a new window] ,
Grégory S. Payne Open the ORCID record for Grégory S. Payne [Opens in a new window] ,
Benoît Gaurier Open the ORCID record for Benoît Gaurier [Opens in a new window]  and
Michael Graham Open the ORCID record for Michael Graham [Opens in a new window]
Georgios Deskos*
Affiliation:
National Wind Technology Center, National Renewable Energy Laboratory, Golden, CO80401-3305, USA
Grégory S. Payne
Affiliation:
Laboratoire de recherche en Hydrodynamique, Energétique et Environnement Atmosphérique, Ecole Centrale Nantes, 1 rue de la Noë, 44300Nantes, France
Benoît Gaurier
Affiliation:
Marine Structures Laboratory, IFREMER, 150, quai Gambetta, BP 699, F-62321Boulogne-Sur-Mer, France
Michael Graham
Affiliation:
Department of Aeronautics, Imperial College London, London, SW7 2AZ, UK
*
†Email address for correspondence: [email protected]
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Abstract

In this article we consider the spectral behaviour of turbulence-driven power fluctuations for a single horizontal-axis turbine. To this end, a small-scale instrumented axial-flow hydrokinetic turbine model ($\textrm {diameter}=0.724\ \textrm {m}$) is deployed in the long water flume situated in the laboratory facilities of IFREMER in Boulogne-sur-Mer, France, and synchronous measurements of the upstream velocity and the rotor are collected for different tip-speed ratios. The study confirms previous findings suggesting that the power spectra follow the velocity spectra behaviour in the large scales region and a steeper power law slope behaviour ($-11/3$) over the inertial frequency sub-range. However, we show that both the amplitude of the power spectra and low-pass filtering effect over the inertial sub-range also depend on the rotor aero/hydrodynamics (e.g. $\mathrm {d}C_L/\mathrm {d}\alpha$) and the approaching flow deceleration and not solely on the rotational effects. In addition, we present a novel semi-analytical model to predict the dominant blade-passing frequency harmonics in the high-frequency regime using the rotationally sampled spectra technique. For all calculations, the distortion of incoming turbulence is taken into account.

Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 904 , 10 December 2020 , A13
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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