A large-eddy simulation of wind-plant aerodynamics

In this work, we present results of a large-eddy simulation of the 48 multi-megawatt turbines composing the Lillgrund wind plant. Turbulent inflow wind is created by performing an atmospheric boundary layer precursor simulation, and turbines are modeled using a rotating, variable-speed actuator line representation. The motivation for this work is that few others have done large-eddy simulations of wind plants with a substantial number of turbines, and the methods for carrying out the simulations are varied. We wish to draw upon the strengths of the existing simulations and our growing atmospheric large-eddy simulation capability to create a sound methodology for performing this type of simulation. We used the OpenFOAM CFD toolbox to create our solver. The simulated time-averaged power production of the turbines in the plant agrees well with field observations, except with the sixth turbine and beyond in each wind-aligned. The power produced by each of those turbines is overpredicted by 25-40%. A direct comparison between simulated and field data is difficult because we simulate one wind direction with a speed and turbulence intensity characteristic of Lillgrund, but the field observations were taken over a year of varying conditions. The simulation shows the significant 60-70% decrease in the performancemore » of the turbines behind the front row in this plant that has a spacing of 4.3 rotor diameters in this direction. The overall plant efficiency is well predicted. This work shows the importance of using local grid refinement to simultaneously capture the meter-scale details of the turbine wake and the kilometer-scale turbulent atmospheric structures. Although this work illustrates the power of large-eddy simulation in producing a time-accurate solution, it required about one million processor-hours, showing the significant cost of large-eddy simulation.« less

[1]  N. Troldborg Actuator Line Modeling of Wind Turbine Wakes , 2009 .

[2]  Stefan Ivanell,et al.  Numerical computations of wind turbine wakes , 2007 .

[3]  Rebecca J. Barthelmie,et al.  An overview of data for wake model evaluation in the Virtual Wakes Laboratory , 2013 .

[4]  J. Mann The spatial structure of neutral atmospheric surface-layer turbulence , 1994, Journal of Fluid Mechanics.

[5]  Peder Bay Enevoldsen,et al.  3D CFD Quantification of the Performance of a Multi-Megawatt Wind Turbine , 2007 .

[6]  A. Gosman,et al.  Solution of the implicitly discretised reacting flow equations by operator-splitting , 1986 .

[7]  James G. Brasseur,et al.  Three-Dimensional Buoyancy- and Shear-Induced Local Structure of the Atmospheric Boundary Layer , 1998 .

[8]  H. Charnock Wind stress on a water surface , 1955 .

[9]  J. Garratt The Atmospheric Boundary Layer , 1992 .

[10]  C. Meneveau,et al.  Large eddy simulation study of fully developed wind-turbine array boundary layers , 2010 .

[11]  C. Moeng A Large-Eddy-Simulation Model for the Study of Planetary Boundary-Layer Turbulence , 1984 .

[12]  J. Michalakes,et al.  A numerical study of the effects of atmospheric and wake turbulence on wind turbine dynamics , 2012 .

[13]  R. Digumarthi,et al.  An Assessment of Approximate Modeling of Aerodynamic Loads on the UAE Rotor , 2003 .

[14]  D. C. Janetzke,et al.  Theoretical and experimental power from large horizontal-axis wind turbines , 1982 .

[15]  Jeppe Johansen,et al.  Wind turbine airfoil catalogue , 2001 .

[16]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[17]  François Pellegrini,et al.  PT-Scotch: A tool for efficient parallel graph ordering , 2008, Parallel Comput..

[18]  Fernando Porté-Agel,et al.  Dynamic subgrid‐scale models for momentum and scalar fluxes in large‐eddy simulations of neutrally stratified atmospheric boundary layers over heterogeneous terrain , 2006 .

[19]  Fernando Porté-Agel,et al.  Large-eddy simulation of atmospheric boundary layer flow through wind turbines and wind farms , 2011 .

[20]  M. Selig,et al.  A 3-D stall-delay model for horizontal axis wind turbine performance prediction , 1998 .

[21]  C. Rhie,et al.  Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , 1983 .

[22]  Jens Nørkær Sørensen,et al.  Numerical Modeling of Wind Turbine Wakes , 2002 .

[23]  Stefano Leonardi,et al.  A Comparison of Actuator Disk and Actuator Line Wind Turbine Models and Best Practices for Their Use , 2012 .

[24]  P. Sullivan,et al.  A Comparison of Shear- and Buoyancy-Driven Planetary Boundary Layer Flows , 1994 .