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Effects of the Parameter C4e in the Extended k-e Turbulence Model for Wind Farm Wake Simulation Using an Actuator Disc

Ning Li    
Li Li    
Yongqian Liu    
Yulu Wu    
Hang Meng    
Jie Yan and Shuang Han    

Resumen

The actuator disc model (ADM) incorporated into the k-e turbulence model of EI Kasmi is able to simulate the wind farm wakes with high fidelity, which is essential for layout optimization and the evaluation of power production in modern wind farms. However, the effects of the parameter C4e in the k-e model of EI Kasmi on turbulent kinetic energy (TKE) in the superposition areas and the recovery of wind farm wake velocity have rarely been studied. To this end, the k-e model of EI Kasmi is coupled with the advanced ADM in PHOENICS to investigate the influence of the parameter C4e on the wake simulation of wind farms (e.g., two offshore wind farms, one onshore wind farm). It is concluded that a decreased parameter C4e makes the generation range of TKE in the vicinity of the rotor smaller, but the TKE near the rotor becomes larger, and the wake recovery rate of the downstream turbine is less affected by the near wake. As the interwind turbine spacing increases, the influence area of TKE in the wake region of each downstream machine gradually reduces, and atmospheric turbulence plays a dominant role in wake recovery. A decreased parameter C4e can effectively promote the inflow wind velocity and power output of downstream turbines. The power output simulated compares well with the measured power value when the parameter C4e = 0.15.

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