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An Actuator Disk method with tip-loss correction based on local effective upstream velocities

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Moens, Maud [UCL] Duponcheel, Matthieu [UCL] Winckelmans, Grégoire [UCL] Chatelain, Philippe [UCL]

This work aims at assessing the performance of a tip-loss correction for advanced Actuator Disk (AD) methods coupled to Large Eddy Simulation and making this correction possible in a wind farm configuration. The classical Glauert tip-loss factor, commonly used in the Blade Element Momentum method, is added here to correct the tip and the root induced velocities at the rotor. However it requires a reference upstream velocity, which is problematic to define in complex flows, such as in wind farms. A methodology is proposed here to infer an effective upstream veloc- ity local to each disk element, based on the one-dimensional Momentum (M1D) theory and using only the local data at the rotor. This estimation is verified through a set of simulations, leading to good results in spite of the crude assumptions of the M1D theory. This AD supplemented with the tip-loss correction is compared to a high fidelity Vortex Particle-Mesh method, through the sim- ulations in uniform wind of a constant circulation wind turbine and of a more realistic machine, the NREL-5MW rotor. The results show that the AD behavior is clearly improved by the addition of a tip-loss factor and the potential errors on the effective upstream velocity estimation have a moderate impact on the tip-loss correction.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès interdit
Publication date 2018
Language Anglais
Journal information "Wind Energy" - Vol. 21, no. 9, p. 766-782
Peer reviewed yes
issn 10954244
Publication status Publié
Affiliation UCL - SST/IMMC/TFL - Thermodynamics and fluid mechanics
Keywords Actuator disk ; tip-loss correction ; large eddy simulation ; lifting lines ; vortex methods
Links
  1. Ammara Idriss, Leclerc Christophe, Masson Christian, A Viscous Three-Dimensional Differential/Actuator-Disk Method for the Aerodynamic Analysis of Wind Farms, 10.1115/1.1510870
  2. Mikkelsen R Actuator Disc Methods Applied to Wind turbines Ph.D. Thesis 2003
  3. Martínez-Tossas Luis A., Churchfield Matthew J., Leonardi Stefano, Large eddy simulations of the flow past wind turbines: actuator line and disk modeling : LES of the flow past wind turbines: actuator line and disk modeling, 10.1002/we.1747
  4. Wu Yu-Ting, Porté-Agel Fernando, Modeling turbine wakes and power losses within a wind farm using LES: An application to the Horns Rev offshore wind farm, 10.1016/j.renene.2014.06.019
  5. Glauert H., Airplane Propellers, Aerodynamic Theory (1935) ISBN:9783642896309 p.169-360, 10.1007/978-3-642-91487-4_3
  6. Branlard Emmanuel, Dixon Kristian, Gaunaa Mac, Vortex methods to answer the need for improved understanding and modelling of tip-loss factors, 10.1049/iet-rpg.2012.0283
  7. van Kuik Gijs, Yu Wei, Sarmast Sasan, Ivanell Stefan, Comparison of actuator disc and Joukowsky rotor flows, to explore the need for a tip correction, 10.1088/1742-6596/625/1/012013
  8. Branlard Emmanuel, Wind Turbine Aerodynamics and Vorticity-Based Methods, ISBN:9783319551630, 10.1007/978-3-319-55164-7
  9. Shen Wen Zhong, Sørensen Jens Nørkær, Mikkelsen Robert, Tip Loss Correction for Actuator/Navier–Stokes Computations, 10.1115/1.1850488
  10. Schmitz Sven, Maniaci David C., Methodology to Determine a Tip-Loss Factor for Highly Loaded Wind Turbines, 10.2514/1.j055112
  11. Burton Tony, Jenkins Nick, Sharpe David, Bossanyi Ervin, Wind Energy Handbook : Burton/Wind Energy Handbook, ISBN:9781119992714, 10.1002/9781119992714
  12. Chatelain Philippe, Backaert Stéphane, Winckelmans Grégoire, Kern Stefan, Large Eddy Simulation of Wind Turbine Wakes, 10.1007/s10494-013-9474-8
  13. Chatelain Philippe, Duponcheel Matthieu, Caprace Denis-Gabriel, Marichal Yves, Winckelmans Grégoire, Vortex particle-mesh simulations of vertical axis wind turbine flows: from the airfoil performance to the very far wake, 10.5194/wes-2-317-2017
  14. Chatelain P, Duponcheel M, Zeoli S, Buffin S, Caprace D-G, Winckelmans G, Bricteux L, Investigation of the effect of inflow turbulence on vertical axis wind turbine wakes, 10.1088/1742-6596/854/1/012011
  15. Jonkman J Butterfield S Musial W Scott G Definition of a 5-MW Reference Wind Turbine for Offshore System Development 2009
  16. Duponcheel M., Orlandi P., Winckelmans G., Time-reversibility of the Euler equations as a benchmark for energy conserving schemes, 10.1016/j.jcp.2008.06.020
  17. Duponcheel M., Bricteux L., Manconi M., Winckelmans G., Bartosiewicz Y., Assessment of RANS and improved near-wall modeling for forced convection at low Prandtl numbers based on LES up to Reτ=2000, 10.1016/j.ijheatmasstransfer.2014.03.080
  18. SMAGORINSKY J., GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS : I. THE BASIC EXPERIMENT*, 10.1175/1520-0493(1963)091<0099:gcewtp>2.3.co;2
  19. Lee Moon J., Oh Byung Do, Kim Young Bae, Canonical Fractional-Step Methods and Consistent Boundary Conditions for the Incompressible Navier–Stokes Equations, 10.1006/jcph.2000.6682
  20. Vasilyev Oleg V., High Order Finite Difference Schemes on Non-uniform Meshes with Good Conservation Properties, 10.1006/jcph.1999.6398
  21. Monaghan J.J, Extrapolating B splines for interpolation, 10.1016/0021-9991(85)90006-3
  22. Prandtl, Göttinger Klassiker der Strömungsmechanik Bd, 3, 89 (1919)
  23. Sørensen Jens Nørkær, General Momentum Theory for Horizontal Axis Wind Turbines, ISBN:9783319221137, 10.1007/978-3-319-22114-4
  24. Shen Wen Zhong, Mikkelsen Robert, Sørensen Jens Nørkær, Bak Christian, Tip loss corrections for wind turbine computations, 10.1002/we.153
  25. Shen W Z, Zhu W J, Sørensen J N, Study of tip loss corrections using CFD rotor computations, 10.1088/1742-6596/555/1/012094
  26. Wimshurst A., Willden R. H. J., Analysis of a tip correction factor for horizontal axis turbines : Analysis of a tip correction factor for horizontal axis turbines, 10.1002/we.2106
  27. Jha Pankaj K., Churchfield Matthew J., Moriarty Patrick J., Schmitz Sven, Guidelines for Volume Force Distributions Within Actuator Line Modeling of Wind Turbines on Large-Eddy Simulation-Type Grids, 10.1115/1.4026252
  28. Martínez-Tossas LA Leonardi S Wind turbine modeling for computational fluid dynamics 2013
  29. Draper M, Guggeri A, Usera G, Validation of the Actuator Line Model with coarse resolution in atmospheric sheared and turbulent inflow, 10.1088/1742-6596/753/8/082007
  30. Storey R. C., Norris S. E., Cater J. E., An actuator sector method for efficient transient wind turbine simulation : An actuator sector method for wind turbine simulation, 10.1002/we.1722
  31. Vitsas Athanasios, Meyers Johan, Multiscale aeroelastic simulations of large wind farms in the atmospheric boundary layer, 10.1088/1742-6596/753/8/082020
  32. van Kuik G. A. M., Lignarolo L. E. M., Potential flow solutions for energy extracting actuator disc flows : Actuator disc potential flows, 10.1002/we.1902
  33. Madsen Helge Aa., Bak Christian, Døssing Mads, Mikkelsen Robert, Øye Stig, Validation and modification of the Blade Element Momentum theory based on comparisons with actuator disc simulations, 10.1002/we.359
  34. Glauert, The Analysis of Experimental Results in the Windmill Brake and Vortex Ring States of an Airscrew (1926)
  35. Wilson, Wind Turbine Technology: Fundamental Concepts of Wind Turbine Engineering, 231 (1994)
  36. Buhl ML A new empirical relationship between thrust coefficient and induction factor for the turbulent windmill state 2005
  37. Winckelmans, Encyclopedia of Computational Mechanics (2004)
  38. Lindenburg C Investigation into rotor blade aerodynamics 2003
  39. Giguere P Selig MS Design of a tapered and twisted blade for the nrel combined experiment rotor 1999
  40. Hand MM Simms DA Fingersh LJ Jager DW Cotrell JR Schreck S Larwood SM Unsteady aerodynamics experiment phase vi: Wind tunnel test configurations and available data campaigns 2001
  41. Snel H, Schepers J G, Montgomerie B, The MEXICO project (Model Experiments in Controlled Conditions): The database and first results of data processing and interpretation, 10.1088/1742-6596/75/1/012014
Bibliographic reference Moens, Maud ; Duponcheel, Matthieu ; Winckelmans, Grégoire ; Chatelain, Philippe. An Actuator Disk method with tip-loss correction based on local effective upstream velocities. In: Wind Energy, Vol. 21, no. 9, p. 766-782
Permanent URL http://hdl.handle.net/2078.1/195476