不同地形条件下风力机尾流速度垂直分布特性研究

Vertical distribution characteristics of wind turbine wake velocity under varying terrain conditions

  • 摘要: 复杂地形条件下,同一机位风力机在不同来流风向下,其尾流将流经坡向、坡度各异的地形单元,导致尾流速度垂直分布特性发生显著变化。为揭示地形特征对尾流垂向演化的主导作用,本文基于5 m分辨率数字高程模型与全尺寸风力机模型,采用雷诺平均纳维-斯托克斯方程结合SST k-ω方法,模拟了单峰为主地形(0°、180°来流)和双峰为主地形(30°、210°来流)两种典型地形条件下的尾流场,并利用无人机实测数据验证了数值方法的准确性。结果表明:地形显著改变入流条件,迎风坡加速使入流速度比值达1.09,上游连续起伏则导致动量损耗至0.93。尾流中心线随下游地形起伏而变化,进入下降坡时向近地层迁移,进入上升坡时下沉减缓。尾流对坡度的敏感程度取决于入流状态,低动量入流下尾流对坡度变化高度敏感,下沉剧烈且持久;高动量入流则抑制坡度影响,下沉平缓且距离更长。综上,地形特征对尾流垂向偏移具有显著调制作用,布局优化中应结合地形剖面分析尾流中心线变化趋势,以降低下游机组发电损失风险。

     

    Abstract: Under complex terrain conditions, the wake of a wind turbine propagates across terrain units with varying slope aspects and gradients when the inflow direction changes. This leads to significant variations in the vertical distribution of wake velocity. The present study aims to reveal the dominant role of topographic features in the vertical evolution of the wake. A 5 m resolution digital elevation model and a full-scale wind turbine model are adopted. The Reynolds-averaged Navier-Stokes equations combined with the SST k-ω method are employed to simulate the wake flow field. Two typical terrain conditions are considered: a single-peak-dominated terrain under 0° and 180° inflow, and a double-peak-dominated terrain under 30° and 210° inflow. The numerical method is validated against unmanned aerial vehicle measurement data. The results show that the terrain markedly alters the inflow conditions. The windward slope acceleration increases the inflow velocity ratio to 1.09, whereas continuous upstream undulations cause momentum depletion to 0.93. The wake centerline undulates in response to the downstream terrain. It migrates toward the near-surface layer when entering a descending slope and its descent decelerates when entering an ascending slope. The sensitivity of the wake to the slope depends on the inflow state. Under low-momentum inflow, the wake is highly sensitive to slope variations and descends sharply and persistently. Under high-momentum inflow, the slope effect is suppressed, resulting in a gentler descent over a longer distance. In summary, topographic features exert a significant modulating effect on the vertical displacement of the wake. During layout optimization, the variation trend of the wake centerline should be analyzed together with the terrain profile. This helps to reduce the risk of power generation loss for downstream turbines.

     

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