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Abstract
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.
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Moens, M., Duponcheel, M., Winckelmans, G., & Chatelain, P. (2018). An Actuator Disk method with tip-loss correction based on local effective upstream velocities. Wind Energy, 21(9), 766-782. https://doi.org/10.1002/we.2192 (Original work published 2018)