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

Journal Article · · International Journal of Heat and Fluid Flow

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.

Research Organization:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Organization:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Wind Energy Technologies Office; Engineering and Physical Sciences Research Council (EPSRC)
Grant/Contract Number:
AC36-08GO28308
OSTI ID:
1983888
Report Number(s):
NREL/JA-5000-86115; MainId:86888; UUID:8424f940-e4d6-48ac-a25a-a1b9d480714b; MainAdminID:69631
Journal Information:
International Journal of Heat and Fluid Flow, Vol. 102; ISSN 0142-727X
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (47)

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
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
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
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
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
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
Numerical investigation of the influence of shear and thermal stratification on the wind turbine tip‐vortex stability journal April 2022
Stability analysis of the tip vortices of a wind turbine journal March 2010
The stability of wakes of floating wind turbines journal July 2022
Tip‐vortex breakdown of wind turbines subject to shear journal December 2019
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
Tip-vortex instability and turbulent mixing in wind-turbine wakes journal September 2015
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
Measurements behind model wind turbines: further evidence of wake meandering journal January 2008
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
Recovery in the wake of in-line axial-flow rotors journal April 2022
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
Mutual inductance instability of the tip vortices behind a wind turbine journal August 2014
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
On the homogenization of turbulent flow structures in the wake of a model wind turbine journal February 2014
General Circulation Experiments with the Primitive Equations: i. the Basic Experiment* journal March 1963
Numerical Modeling of Wind Turbine Wakes journal May 2002
Comparison of wind farm large eddy simulations using actuator disk and actuator line models with wind tunnel experiments journal February 2018
Investigation of the near wake of a horizontal-axis wind turbine model by dynamic mode decomposition journal July 2021
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