Validation of the Beddoes–Leishman dynamic stall model for horizontal axis wind turbines using MEXICO data

The aim of this study is to assess the load predicting capability of a classical Beddoes- Leishman dynamic stall model in a horizontal axis wind turbine (HAWT) environment, in the presence of yaw-misalignment. The dynamic stall model was tailored to the HAWT environment, and validated against unsteady thick airfoil data. Subsequently, the dynamic stall model was implemented in a blade element-momentum (BEM) code for yawed flow, and the results were compared with aerodynamic measurements obtained in the MEXICO (Model Rotor Experiments under Controlled Conditions ) project on a wind turbine rotor placed in a large scale wind tunnel. In general, reasonable to good agreement was found between the BEM model and MEXICO data. When large yaw- misalignments were imposed, poor agreement was found in the downstroke of the movement between the model and the experiment. Still, over a revolution the maximum normal force coefficient predicted was always within 8% of experimental data at the inboard stations, which is encouraging especially when blade fatigue calculations are being considered.

[1]  M Robinson,et al.  Unsteady aerodynamics of wind turbines , 1995 .

[2]  Daniel Micallef,et al.  Validating BEM, Direct and Inverse Free Wake Models with the MEXICO Experiment , 2010 .

[3]  H. Snel,et al.  APPLICATION OF A MODIFIED THEODORSEN MODEL TO THE ESTIMATION OF AERODYNAMIC FORCES AND AEROELASTIC STABILITY , 2004 .

[4]  S. T. Gangwani.  Synthesized airfoil data method for prediction of dynamic stall and unsteady airloads , 1983 .

[5]  Steen Krenk,et al.  Dynamic Stall Model for Wind Turbine Airfoils , 2007 .

[6]  R. L. Bielawa,et al.  Synthesized Unsteady Airfoil Data With Applications to Stall Flutter Calculations , 1975 .

[7]  Biel Ortun,et al.  3D Rotational Corrections in ONERA Aeroelastic Predictions of NREL Wind Turbine , 2007 .

[8]  W. J. Mccroskey,et al.  The Phenomenon of Dynamic Stall. , 1981 .

[9]  J. Gordon Leishman,et al.  Challenges in Modeling the Unsteady Aerodynamics of Wind Turbines , 2002 .

[10]  Sikorsky Aircraft Div.,et al.  Analytical Study of Helicopter Rotor Stall Flutter , 1970 .

[11]  Ricardo Balbino,et al.  Validating the Beddoes-Leishman Dynamic Stall Model in the Horizontal Axis Wind Turbine Environment , 2010 .

[12]  Norman D. Ham,et al.  Dynamic Stall Considerations in Helicopter Rotors , 1968 .

[13]  Westland Helicopters,et al.  Onset of Leading Edge Seperation Effects Under Dynamic Conditions and Low Mach Number , 1978 .

[14]  T. Theodorsen.  General Theory of Aerodynamic Instability and the Mechanism of Flutter , 1934 .

[15]  Maureen Hand,et al.  Blade Dynamic Stall Vortex Kinematics for a Horizontal Axis Wind Turbine in Yawed Conditions , 2001 .

[16]  Ronald E. Gormont.  A Mathematical Model of Unsteady Aerodynamics and Radial Flow for Application to Helicopter Rotors , 1973 .

[17]  H. Snel,et al.  Engineering moles for dynamic inflow phenomena , 1992 .

[18]  F. Coton,et al.  A study on rotational effects and different stall delay models using a prescribed wake vortex scheme and NREL phase VI experiment data , 2008 .

[19]  R. R. Pruyn,et al.  Blade Stall—Half Fact, Half Fiction , 1968 .

[20]  J. Gordon Leishman,et al.  Principles of Helicopter Aerodynamics , 2000 .

[21]  P. K. Chaviaropoulos,et al.  Investigating Three-Dimensional and Rotational Effects on Wind Turbine Blades by Means of a Quasi-3D Navier-Stokes Solver , 2000 .

[22]  L. Carr.  Progress in analysis and prediction of dynamic stall , 1988 .

[23]  T. S. Beddoes.  A synthesis of unsteady aerodynamic effects including stall , 1975 .

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

[25]  J. G. Schepers.  IEA Annex XX: Comparison between calculations and measurements on a wind turbine in yaw in the NASA-Ames wind tunnel , 2007 .

[26]  T. S. Beddoes,et al.  A Generalised Model for Airfoil Unsteady Aerodynamic Behaviour and Dynamic Stall Using the Indicial Method , 1986 .

[27]  J. G. Leishman,et al.  A Semi-Empirical Model for Dynamic Stall , 1989 .

[28]  W. Johnson,et al.  Comparison of three methods for calculation of helicopter rotor blade loading and stresses due to stall , 1974 .

[29]  Frank N. Coton,et al.  A Modified Dynamic Stall Model for Low Mach Numbers , 2008 .

[30]  Wouter Haans,et al.  Airfoil models in the actuator line code assessed with near-wake measurements on a yawed rotor , 2007 .

[31]  J. Gordon Leishman,et al.  Dynamic stall modelling of the S809 aerofoil and comparison with experiments , 2006 .

[32]  David Simms,et al.  Unsteady aerodynamics associated with a horizontal-axis wind turbine , 1996 .