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Title: On the interaction of a wind turbine wake with a conventionally neutral atmospheric boundary layer

Abstract

In this work, we investigate the dynamics of wind turbine tip-vortex breakdown in a conventionally neutral atmospheric boundary layer (ABL). To this end, high-resolution data are collected from large-eddy simulations of a wind turbine operating within a neutral ABL and studied by means of proper orthogonal decomposition (POD) and Fourier analysis. The high resolution of the generated data in both space and time allows us to gain insight into the tip-vortex breakdown mechanisms by (i) capturing the energy modes of the coherent structures, (ii) studying their contribution to the tip-vortex breakdown through their power spectra functions and mean kinetic energy (MKE) flux, and (iii) analysing the growth rate of each contributing perturbation frequency along tip vortices. Our analysis shows that under a fully turbulent scenario, the growth rate of perturbations along the tip vortices is largest for low wave numbers, i.e. long-wave perturbations. Additionally, the MKE flux reaches its highest value at two diameters downstream of the rotor plane, a behaviour that can be attributed to the coexistence of multiple interacting POD modes, with the streamwise vortex roller mode being the primary contributor to the total MKE flux budget, contributing approximately . Finally, comparisons with a laminar, uniform flow scenariomore » subject to a single-frequency perturbation highlight the differences between the two ambient flow conditions. In the non-turbulent, uniform flow scenario, the growth rate attains its maximum value at a wave number corresponding to the out-of-phase mutual-inductance mechanism, whereas the MKE flux exhibits local minima and maxima along the wake and at different downstream locations depending on the perturbation frequency. Our analyses suggest that the breakdown of the wind turbine tip vortices under a fully turbulent neutral ABL inflow is due to complex interactions across a range of excitation frequencies, in which the mutual-inductance instability may not be the dominant one.« less

Authors:
ORCiD logo [1]; ORCiD logo [2];  [1]
  1. Imperial College, London (United Kingdom)
  2. National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Publication Date:
Research Org.:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Wind Energy Technologies Office; Engineering and Physical Sciences Research Council (EPSRC)
OSTI Identifier:
1983888
Report Number(s):
NREL/JA-5000-86115
Journal ID: ISSN 0142-727X; MainId:86888;UUID:8424f940-e4d6-48ac-a25a-a1b9d480714b;MainAdminID:69631
Grant/Contract Number:  
AC36-08GO28308
Resource Type:
Accepted Manuscript
Journal Name:
International Journal of Heat and Fluid Flow
Additional Journal Information:
Journal Volume: 102; Journal ID: ISSN 0142-727X
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
17 WIND ENERGY; atmospheric boundary layer; large-eddy simulation; proper orthogonal decomposition; wind turbine tip-vortex breakdown

Citation Formats

Hodgkin, Amy, Deskos, Georgios, and Laizet, Sylvain. On the interaction of a wind turbine wake with a conventionally neutral atmospheric boundary layer. United States: N. p., 2023. Web. doi:10.1016/j.ijheatfluidflow.2023.109165.
Hodgkin, Amy, Deskos, Georgios, & Laizet, Sylvain. On the interaction of a wind turbine wake with a conventionally neutral atmospheric boundary layer. United States. https://doi.org/10.1016/j.ijheatfluidflow.2023.109165
Hodgkin, Amy, Deskos, Georgios, and Laizet, Sylvain. Wed . "On the interaction of a wind turbine wake with a conventionally neutral atmospheric boundary layer". United States. https://doi.org/10.1016/j.ijheatfluidflow.2023.109165. https://www.osti.gov/servlets/purl/1983888.
@article{osti_1983888,
title = {On the interaction of a wind turbine wake with a conventionally neutral atmospheric boundary layer},
author = {Hodgkin, Amy and Deskos, Georgios and Laizet, Sylvain},
abstractNote = {In this work, we investigate the dynamics of wind turbine tip-vortex breakdown in a conventionally neutral atmospheric boundary layer (ABL). To this end, high-resolution data are collected from large-eddy simulations of a wind turbine operating within a neutral ABL and studied by means of proper orthogonal decomposition (POD) and Fourier analysis. The high resolution of the generated data in both space and time allows us to gain insight into the tip-vortex breakdown mechanisms by (i) capturing the energy modes of the coherent structures, (ii) studying their contribution to the tip-vortex breakdown through their power spectra functions and mean kinetic energy (MKE) flux, and (iii) analysing the growth rate of each contributing perturbation frequency along tip vortices. Our analysis shows that under a fully turbulent scenario, the growth rate of perturbations along the tip vortices is largest for low wave numbers, i.e. long-wave perturbations. Additionally, the MKE flux reaches its highest value at two diameters downstream of the rotor plane, a behaviour that can be attributed to the coexistence of multiple interacting POD modes, with the streamwise vortex roller mode being the primary contributor to the total MKE flux budget, contributing approximately . Finally, comparisons with a laminar, uniform flow scenario subject to a single-frequency perturbation highlight the differences between the two ambient flow conditions. In the non-turbulent, uniform flow scenario, the growth rate attains its maximum value at a wave number corresponding to the out-of-phase mutual-inductance mechanism, whereas the MKE flux exhibits local minima and maxima along the wake and at different downstream locations depending on the perturbation frequency. Our analyses suggest that the breakdown of the wind turbine tip vortices under a fully turbulent neutral ABL inflow is due to complex interactions across a range of excitation frequencies, in which the mutual-inductance instability may not be the dominant one.},
doi = {10.1016/j.ijheatfluidflow.2023.109165},
journal = {International Journal of Heat and Fluid Flow},
number = ,
volume = 102,
place = {United States},
year = {Wed May 31 00:00:00 EDT 2023},
month = {Wed May 31 00:00:00 EDT 2023}
}

Works referenced in this record:

Predictive and stochastic reduced-order modeling of wind turbine wake dynamics
journal, October 2022


Wake measurements behind a large horizontal axis wind turbine generator
journal, January 1984


Xcompact3D: An open-source framework for solving turbulence problems on a Cartesian mesh
journal, July 2020


Towards a Simplified DynamicWake Model Using POD Analysis
journal, January 2015

  • Bastine, David; Witha, Björn; Wächter, Matthias
  • Energies, Vol. 8, Issue 2
  • DOI: 10.3390/en8020895

The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows
journal, January 1993


Accelerated Wind-Turbine Wake Recovery Through Actuation of the Tip-Vortex Instability
journal, May 2022

  • Brown, Kenneth; Houck, Daniel; Maniaci, David
  • AIAA Journal, Vol. 60, Issue 5
  • DOI: 10.2514/1.J060772

Effects of Thermal Stability and Incoming Boundary-Layer Flow Characteristics on Wind-Turbine Wakes: A Wind-Tunnel Study
journal, June 2010


POD‐based analysis of a wind turbine wake under the influence of tower and nacelle
journal, November 2020

  • De Cillis, Giovanni; Cherubini, Stefania; Semeraro, Onofrio
  • Wind Energy, Vol. 24, Issue 6
  • DOI: 10.1002/we.2592

The influence of incoming turbulence on the dynamic modes of an NREL-5MW wind turbine wake
journal, January 2022


Stability and optimal forcing analysis of a wind turbine wake: Comparison with POD
journal, January 2022


WInc3D: A novel framework for turbulence‐resolving simulations of wind farm wake interactions
journal, January 2020

  • Deskos, Georgios; Laizet, Sylvain; Palacios, Rafael
  • Wind Energy, Vol. 23, Issue 3
  • DOI: 10.1002/we.2458

Rapid distortion of turbulence into an open turbine rotor
journal, July 2017


Theoretical Analysis of the Aerodynamic Stability of Multiple, Interdigitated Helical Vortices
journal, October 1974

  • Gupta, B. P.; Loewy, R. G.
  • AIAA Journal, Vol. 12, Issue 10
  • DOI: 10.2514/3.49493

Anisotropic character of low-order turbulent flow descriptions through the proper orthogonal decomposition
journal, January 2017


POD analysis of the structure of vertical axis wind turbine wakes
journal, June 2023

  • Hellström, L. H. O.; Hohman, T. C.; Smits, A. J.
  • Journal of Wind Engineering and Industrial Aerodynamics, Vol. 237
  • DOI: 10.1016/j.jweia.2023.105403

Numerical investigation of the influence of shear and thermal stratification on the wind turbine tip‐vortex stability
journal, April 2022

  • Hodgkin, Amy; Laizet, Sylvain; Deskos, Georgios
  • Wind Energy, Vol. 25, Issue 7
  • DOI: 10.1002/we.2728

Stability analysis of the tip vortices of a wind turbine
journal, March 2010

  • Ivanell, Stefan; Mikkelsen, Robert; Sørensen, Jens N.
  • Wind Energy, Vol. 13, Issue 8
  • DOI: 10.1002/we.391

The stability of wakes of floating wind turbines
journal, July 2022

  • Kleine, V. G.; Franceschini, L.; Carmo, B. S.
  • Physics of Fluids, Vol. 34, Issue 7
  • DOI: 10.1063/5.0092267

Tip‐vortex breakdown of wind turbines subject to shear
journal, December 2019

  • Kleusberg, Elektra; Benard, Sabrina; Henningson, Dan S.
  • Wind Energy, Vol. 22, Issue 12
  • DOI: 10.1002/we.2403

On the Effect of Numerical Errors in Large Eddy Simulations of Turbulent Flows
journal, March 1997


High-order compact schemes for incompressible flows: A simple and efficient method with quasi-spectral accuracy
journal, September 2009


Incompact3d: A powerful tool to tackle turbulence problems with up to O(105) computational cores
journal, November 2010

  • Laizet, Sylvain; Li, Ning
  • International Journal for Numerical Methods in Fluids, Vol. 67, Issue 11
  • DOI: 10.1002/fld.2480

Tip-vortex instability and turbulent mixing in wind-turbine wakes
journal, September 2015

  • Lignarolo, L. E. M.; Ragni, D.; Scarano, F.
  • Journal of Fluid Mechanics, Vol. 781
  • DOI: 10.1017/jfm.2015.470

Costs and consequences of wind turbine wake effects arising from uncoordinated wind energy development
journal, November 2018


Stochastic backscatter in large-eddy simulations of boundary layers
journal, September 1992


Measurements on a wind turbine wake: 3D effects and bluff body vortex shedding
journal, May 2006

  • Medici, D.; Alfredsson, P. H.
  • Wind Energy, Vol. 9, Issue 3
  • DOI: 10.1002/we.156

Measurements behind model wind turbines: further evidence of wake meandering
journal, January 2008

  • Medici, D.; Alfredsson, P. H.
  • Wind Energy, Vol. 11, Issue 2
  • DOI: 10.1002/we.247

Stability of helical tip vortices in a rotor far wake
journal, March 2007


First in situ evidence of wakes in the far field behind offshore wind farms
journal, February 2018


Characterization of the turbulent wake of an axial-flow hydrokinetic turbine via large-eddy simulation
journal, February 2021


Momentum recovery downstream of an axial-flow hydrokinetic turbine
journal, June 2021


Analysis of the momentum recovery in the wake of aligned axial-flow hydrokinetic turbines
journal, October 2022


Instability of the tip vortices shed by an axial-flow turbine in uniform flow
journal, June 2021

  • Posa, Antonio; Broglia, Riccardo; Balaras, Elias
  • Journal of Fluid Mechanics, Vol. 920
  • DOI: 10.1017/jfm.2021.433

Recovery in the wake of in-line axial-flow rotors
journal, April 2022

  • Posa, A.; Broglia, R.; Balaras, E.
  • Physics of Fluids, Vol. 34, Issue 4
  • DOI: 10.1063/5.0085587

Wind power production from very large offshore wind farms
journal, October 2021


Effect of tower and nacelle on the flow past a wind turbine: Effect of tower and nacelle on the flow past a wind turbine
journal, July 2017

  • Santoni, Christian; Carrasquillo, Kenneth; Arenas-Navarro, Isnardo
  • Wind Energy, Vol. 20, Issue 12
  • DOI: 10.1002/we.2130

Mutual inductance instability of the tip vortices behind a wind turbine
journal, August 2014

  • Sarmast, Sasan; Dadfar, Reza; Mikkelsen, Robert F.
  • Journal of Fluid Mechanics, Vol. 755
  • DOI: 10.1017/jfm.2014.326

Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli
journal, August 1975


Scientific challenges to characterizing the wind resource in the marine atmospheric boundary layer
journal, November 2022

  • Shaw, William J.; Berg, Larry K.; Debnath, Mithu
  • Wind Energy Science, Vol. 7, Issue 6
  • DOI: 10.5194/wes-7-2307-2022

On the homogenization of turbulent flow structures in the wake of a model wind turbine
journal, February 2014

  • Singh, Arvind; Howard, Kevin B.; Guala, Michele
  • Physics of Fluids, Vol. 26, Issue 2
  • DOI: 10.1063/1.4863983

Numerical Modeling of Wind Turbine Wakes
journal, May 2002

  • So̸rensen, Jens No̸rkær; Shen, Wen Zhong
  • Journal of Fluids Engineering, Vol. 124, Issue 2
  • DOI: 10.1115/1.1471361

Comparison of wind farm large eddy simulations using actuator disk and actuator line models with wind tunnel experiments
journal, February 2018


Grand challenges in the science of wind energy
journal, October 2019


Wind turbine wake aerodynamics
journal, August 2003


The stability of a helical vortex filament
journal, August 1972