Validation of a CFD model of wind turbine wakes with terrain effects

Abstract Wind turbine wakes and the neutral atmospheric wind flow over complex terrain are investigated in this paper using the Computational Fluid Dynamics software Fluent. An actuator disc model based on the Blade Element Theory is implemented for the simulation of the rotor effects. Assuming a 3-D, steady-state flow, the Reynolds-averaged Navier–Stokes equations are solved, along with the Reynolds Stress Model to account for the anisotropy of atmospheric turbulence. The approach is initially validated with widely documented wake measurements over flat terrain. Additionally, the model of a neutral atmospheric flow over a real hill is validated with full-scale observations. Ultimately, a coastal complex terrain wind farm is examined and results are validated with SCADA measurements and compared with simulations using the wind modelling software WAsP.

[1]  J. Højstrup,et al.  A Simple Model for Cluster Efficiency , 1987 .

[2]  Ira H. Abbott,et al.  Summary of Airfoil Data , 1945 .

[3]  Harwell,et al.  Wake measurements on the Nibe wind turbines in Denmark , 1990 .

[4]  Bent Pedersen,et al.  Description of the two Danish 630 kw wind turbines, NIBE-A and NIBE-B, and some preliminary test results , 1980 .

[5]  Rebecca J. Barthelmie,et al.  The effects of atmospheric stability on coastal wind climates , 1999 .

[6]  Albert A. M. Holtslag,et al.  Analysis of wind speed observations on the North Sea coast , 1998 .

[7]  Peter Fuglsang,et al.  Wind Tunnel Tests of the FFA-W3-241, FFA-W3-301 and NACA 63-430 Airfoils , 1998 .

[8]  J. Sørensen,et al.  Wind turbine wake aerodynamics , 2003 .

[9]  Ib Troen A high resolution spectral model for flow in complex terrain , 1990 .

[10]  Theodore Stathopoulos,et al.  Numerical evaluation of pollutant dispersion in the built environment: comparisons between models and experiments , 2008 .

[11]  P. K. Chaviaropoulos,et al.  CFD modelling of wind farms in complex terrain , 2010 .

[12]  Jan Carmeliet,et al.  Comparison of calculation models for wind-driven rain deposition on building facades , 2010 .

[13]  Nahmkeon Hur,et al.  A numerical simulation of flow field in a wind farm on complex terrain , 2010 .

[14]  Nam-Ho Kyong,et al.  An experimental and numerical study on the flow over two-dimensional hills , 1997 .

[15]  N. Mortensen,et al.  WAsP prediction errors due to site orography , 2004 .

[16]  James F. Manwell,et al.  Book Review: Wind Energy Explained: Theory, Design and Application , 2006 .

[17]  J. Finnigan,et al.  Atmospheric Boundary Layer Flows: Their Structure and Measurement , 1994 .

[18]  E. F. Bradley,et al.  Boundary-layer flow over low hills , 1987 .

[19]  Nicolas G. Wright,et al.  On the use of the k–ε model in commercial CFD software to model the neutral atmospheric boundary layer , 2007 .

[20]  Spyros G. Voutsinas,et al.  Implementation Issues in 3D Wind Flow Predictions Over Complex Terrain , 2006 .

[21]  Ervin Bossanyi,et al.  Wind Energy Handbook , 2001 .

[22]  V. C. Patel,et al.  Numerical simulation of wind flow over hilly terrain , 2000 .

[23]  Panagiotis Papageorgas,et al.  An experimental study of the near-wake structure of a wind turbine operating over complex terrain , 1995 .

[24]  Mark Z. Jacobson,et al.  Fundamentals of atmospheric modeling , 1998 .

[25]  B. Lange,et al.  Comparison of Wake Model Simulations with Offshore Wind Turbine Wake Profiles Measured by Sodar , 2006 .

[26]  J. Palma,et al.  Simulation of the Askervein Flow. Part 1: Reynolds Averaged Navier–Stokes Equations (k∈ Turbulence Model) , 2003 .

[27]  Rebecca J. Barthelmie,et al.  Summary Report: The Shadow effect of large wind farms: measurements, data analysis and modelling: Risø-R-1615 (EN) , 2007 .

[28]  Stel Nathan Walker,et al.  Wake measurements behind a large horizontal axis wind turbine generator , 1984 .

[29]  Alexandros Makridis Modelling of wind turbine wakes in complex terrain using computational fluid dynamics , 2012 .

[30]  Karl J. Eidsvik,et al.  A system for wind power estimation in mountainous terrain. Prediction of Askervein hill data , 2005 .

[31]  G. Schepers,et al.  Potentials for Site-Specific Design of MW Sized Wind Turbines , 2001 .

[32]  Peter A. Taylor,et al.  Boundary-layer flow over topography : Impacts of the Askervein study , 1996 .

[33]  Lakshmi N. Sankar,et al.  Recent improvements to a hybrid method for rotors in forward flight , 2000 .

[34]  H. I. Andersson,et al.  Non-Linear, Microscale Modelling of the Flow Over Askervein Hill , 2006 .

[35]  Hans Ejsing Jørgensen,et al.  Wake effects on Middelgrund Windfarm , 2003 .

[36]  V. C. Patel,et al.  Test Of Turbulence Models For Wind Flow Over Terrain With Separation And Recirculation , 2000 .

[37]  N. Jensen A note on wind generator interaction , 1983 .

[38]  D. Wilcox Turbulence modeling for CFD , 1993 .

[39]  Helge Aagaard Madsen,et al.  Optimization method for wind turbine rotors , 1999 .

[40]  Abdul Ghaaliq Lalkhen,et al.  Statistics II: Central tendency and spread of data , 2007 .

[41]  Søren Ejling Larsen,et al.  Simulated wind power off-shore using different parametrizations for the sea surface roughness , 2000 .

[42]  Peter Richards,et al.  A 6 m cube in an atmospheric boundary layer flow -Part 2. Computational solutions , 2002 .

[43]  Panagiotis Papageorgas,et al.  Study of the turbulent characteristics of the near-wake field of a medium-sized wind turbine operating in high wind conditions , 1995 .

[44]  Xiaodong Zhang,et al.  CFD simulation of neutral ABL flows , 2009 .

[45]  R. Barthelmie,et al.  Observations and simulations of diurnal cycles of near-surface wind speeds over land and sea , 1996 .

[46]  Michael Schatzmann,et al.  Recommendations on the use of CFD in wind engineering , 2004 .

[47]  Laith A. J. Zori,et al.  NavierStokes Calculations of RotorAirframe Interaction in Forward Flight , 1995 .

[48]  P. Taylor,et al.  The Askervein Hill project: Overview and background data , 1987 .

[49]  T. Stathopoulos,et al.  CFD simulation of the atmospheric boundary layer: wall function problems , 2007 .

[50]  N Niels,et al.  Airfoil characteristics for wind turbines , 1999 .

[51]  J. C. Barnard,et al.  Observations of wind turbine wakes and surface roughness effects on wind flow variability , 1990 .

[52]  Michael R. Ruith Unstructured, Multiplex Rotor Source Model With Thrust And Moment Trimming - Fluent's VBM Model , 2005 .

[53]  Bert Blocken,et al.  CFD evaluation of wind speed conditions in passages between parallel buildings : effect of wall-function roughness modifications for the atmospheric boundary layer flow , 2007 .

[54]  Javier García,et al.  Comparative study of the behavior of wind-turbines in a wind farm , 2007 .

[55]  P. Richards,et al.  Appropriate boundary conditions for computational wind engineering models using the k-ε turbulence model , 1993 .

[56]  Niels Otto Jensen,et al.  Modification of turbulence characteristics in flow over hills , 2007 .

[57]  James F. Manwell,et al.  Wind Energy Applications , 2010 .

[58]  R. Barthelmie,et al.  Analysis and validation of CFD wind farm models in complex terrain. Effects induced by topography and wind turbines , 2010 .