论文标题
一个基于环形唤醒的基于夹带的模型，并应用于机载风能
An entrainment-based model for annular wakes, with applications to airborne wind energy
论文作者
论文摘要
几个新型的风能系统产生具有环形横截面的唤醒，它们在质量上不同于唤醒的圆形横截面通常由常规水平轴风力涡轮机和紧凑型障碍物产生的圆形横截面。由于风电场使用数百台涡轮机的阵列，因此良好的分析唤醒模型对于有效的风电场计划至关重要。循环唤醒已经存在几种模型。但是，尚未提出过环环唤醒的建议，因此无法估计其阵列性能。我们使用夹带假设来开发一个降低的模型，用于从通用环形障碍物中唤醒环形唤醒的形状和流速度。我们的模型由三个普通微分方程组成，我们在数值上求解。另外，通过假设环形尾流不会径向漂移，我们将问题进一步减少到一个仅组成两个微分方程的模型，我们可以通过分析来解决。我们的这两个模型都与先前发布的大型涡流模拟结果非常吻合。
Several novel wind energy systems produce wakes with annular cross-sections, which are qualitatively different from the wakes with circular cross-sections commonly generated by conventional horizontal-axis wind turbines and by compact obstacles. Since wind farms use arrays of hundreds of turbines, good analytical wake models are essential for efficient wind farm planning. Several models already exist for circular wakes; however, none have yet been proposed for annular wakes, making it impossible to estimate their array performance. We use the entrainment hypothesis to develop a reduced-order model for the shape and flow velocity of an annular wake from a generic annular obstacle. Our model consists of a set of three ordinary differential equations, which we solve numerically. In addition, by assuming that the annular wake does not drift radially, we further reduce the problem to a model comprising only two differential equations, which we solve analytically. Both of our models are in good agreement with previously published large eddy simulation results.
