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Spatial integration effect on velocity spectrum: Towards an interpretation of the − 11/3 power law observed in the spectra of turbine outputs

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  • Druault, Philippe
  • Gaurier, Benoît
  • Germain, Grégory

Abstract

To improve the turbine operational life, the interaction between flow properties and turbine performance needs to be elucidated. We then propose to examine the physical origin of the power-law scaling in the inertial range of turbine power outputs by experimentally exploring the spectral content of a 1:20 scaled model of a three-bladed horizontal-axis turbine positioned in a 3D turbulent flow. First, measurements confirm that the turbine power frequency spectra exhibit a power law decay proportional to −11/3 in the inertial range. Knowing that the turbine power fluctuations are linearly dependent on the incoming velocity fluctuations, PIV measurements are carried out to study the effect of the spatially integrated velocity onto its resulted spectrum. It is demonstrated that in inhomogeneous anisotropic turbulent flow, the velocity spectrum of its spatial average along N direction(s) has an inertial slope of −5/3 − 2N/3. This information is used to physically interpret the power-law scaling in the inertial range of the turbine power spectra. The previously observed f−11/3 scaling results from a 2D-spatial average velocity field coupled with a spectral average over blades. This physical explanation confirms previous works in which a transfer function was developed between incoming turbulence and the turbine power outputs.

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  • Druault, Philippe & Gaurier, Benoît & Germain, Grégory, 2022. "Spatial integration effect on velocity spectrum: Towards an interpretation of the − 11/3 power law observed in the spectra of turbine outputs," Renewable Energy, Elsevier, vol. 181(C), pages 1062-1080.
    • Handle: RePEc:eee:renene:v:181:y:2022:i:c:p:1062-1080
    DOI: 10.1016/j.renene.2021.09.106
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    References listed on IDEAS

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    1. Li, Qing'an & Murata, Junsuke & Endo, Masayuki & Maeda, Takao & Kamada, Yasunari, 2016. "Experimental and numerical investigation of the effect of turbulent inflow on a Horizontal Axis Wind Turbine (Part I: Power performance)," Energy, Elsevier, vol. 113(C), pages 713-722.
    2. Ebdon, Tim & Allmark, Matthew J. & O’Doherty, Daphne M. & Mason-Jones, Allan & O’Doherty, Tim & Germain, Gregory & Gaurier, Benoit, 2021. "The impact of turbulence and turbine operating condition on the wakes of tidal turbines," Renewable Energy, Elsevier, vol. 165(P2), pages 96-116.
    3. Ahmed, U. & Apsley, D.D. & Afgan, I. & Stallard, T. & Stansby, P.K., 2017. "Fluctuating loads on a tidal turbine due to velocity shear and turbulence: Comparison of CFD with field data," Renewable Energy, Elsevier, vol. 112(C), pages 235-246.
    4. Mycek, Paul & Gaurier, Benoît & Germain, Grégory & Pinon, Grégory & Rivoalen, Elie, 2014. "Experimental study of the turbulence intensity effects on marine current turbines behaviour. Part II: Two interacting turbines," Renewable Energy, Elsevier, vol. 68(C), pages 876-892.
    5. Mycek, Paul & Gaurier, Benoît & Germain, Grégory & Pinon, Grégory & Rivoalen, Elie, 2014. "Experimental study of the turbulence intensity effects on marine current turbines behaviour. Part I: One single turbine," Renewable Energy, Elsevier, vol. 66(C), pages 729-746.
    6. Allmark, Matthew & Ellis, Robert & Ebdon, Tim & Lloyd, Catherine & Ordonez-Sanchez, Stephanie & Martinez, Rodrigo & Mason-Jones, Allan & Johnstone, Cameron & O’Doherty, Tim, 2021. "A detailed study of tidal turbine power production and dynamic loading under grid generated turbulence and turbine wake operation," Renewable Energy, Elsevier, vol. 169(C), pages 1422-1439.
    7. Lewis, Matt & McNaughton, James & Márquez-Dominguez, Concha & Todeschini, Grazia & Togneri, Michael & Masters, Ian & Allmark, Matthew & Stallard, Tim & Neill, Simon & Goward-Brown, Alice & Robins, Pet, 2019. "Power variability of tidal-stream energy and implications for electricity supply," Energy, Elsevier, vol. 183(C), pages 1061-1074.
    8. Durán Medina, Olmo & Schmitt, François G. & Calif, Rudy & Germain, Grégory & Gaurier, Benoît, 2017. "Turbulence analysis and multiscale correlations between synchronized flow velocity and marine turbine power production," Renewable Energy, Elsevier, vol. 112(C), pages 314-327.
    9. Gaurier, Benoît & Ikhennicheu, Maria & Germain, Grégory & Druault, Philippe, 2020. "Experimental study of bathymetry generated turbulence on tidal turbine behaviour," Renewable Energy, Elsevier, vol. 156(C), pages 1158-1170.
    10. Bahaj, A.S. & Molland, A.F. & Chaplin, J.R. & Batten, W.M.J., 2007. "Power and thrust measurements of marine current turbines under various hydrodynamic flow conditions in a cavitation tunnel and a towing tank," Renewable Energy, Elsevier, vol. 32(3), pages 407-426.
    11. Katzenstein, Warren & Fertig, Emily & Apt, Jay, 2010. "The variability of interconnected wind plants," Energy Policy, Elsevier, vol. 38(8), pages 4400-4410, August.
    12. Sentchev, Alexei & Thiébaut, Maxime & Schmitt, François G., 2020. "Impact of turbulence on power production by a free-stream tidal turbine in real sea conditions," Renewable Energy, Elsevier, vol. 147(P1), pages 1932-1940.
    13. Li, Qing'an & Murata, Junsuke & Endo, Masayuki & Maeda, Takao & Kamada, Yasunari, 2016. "Experimental and numerical investigation of the effect of turbulent inflow on a Horizontal Axis Wind Turbine (part II: Wake characteristics)," Energy, Elsevier, vol. 113(C), pages 1304-1315.
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    1. Magnier, Maëlys & Delette, Nina & Druault, Philippe & Gaurier, Benoît & Germain, Grégory, 2022. "Experimental study of the shear flow effect on tidal turbine blade loading variation," Renewable Energy, Elsevier, vol. 193(C), pages 744-757.
    2. Druault, Philippe & Germain, Grégory, 2022. "Experimental investigation of the upstream turbulent flow modifications in front of a scaled tidal turbine," Renewable Energy, Elsevier, vol. 196(C), pages 1204-1217.

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