Parametric Model of Vortex Generators of Wind Turbine Considering Inter-effect of Winglets

The problem of large amounts of girds caused by solid boundary of vortex generators (VGs) in computation fluid dynamic modeling can be resolved by employing parametric model. Considering inter-effect between the wings, based on the theories of lift-line and delta-wing, a parametric model of an array of VGs which are composed of anti-rotating delta wings, is proposed to simulate the effect of shedding vortex on the aerodynamic of lift blade. The maximum circulation is computed from the model and added into the equation of N-S as a source term. The circulation of blade with VGs are calculated employing the VG-arrays model and the single-wing model without considering the inter-effect, the results are compared with the experimental results from literature, the comparison shows: when 0° ≤α ≤18°, the maximum error of the array model is only 4.8%; when α=24°, the error reaches 13.2% which is still much lower than the result of the single-wing model (49.4%). The performance of DU91-W2-250 blade section with five pairs of VGs is modeled; the comparison with the experimental results show the array type model has higher agreement with the results of experiment. The simulation results of fluid field employing two models, real structure model and parametric model of array VGs, have high agreement.