Abstract A steady-state Actuator force model using the RANS equations is developed to calculate the power production and the flow through arrays of tidal or river Darrieus turbines. It uses detailed three dimensional force distributions depending on the position on the turbine, obtained beforehand by a set of blade-resolved URANS simulations of the turbine. New power coefficient and force coefficient laws depending on the local velocity instead of the upstream velocity are established and appear to be independent from the local turbine blockage in an array. Those laws are used to construct a model that adapt the Actuator force distributions to the local velocity of the flow reaching each turbine, in order to simulate each turbine functioning close to its maximum efficiency point. The model is validated against experimental measurements on a reduced-scale Darrieus turbine. A fence farm configuration and a two row farm configuration are investigated and compared to results of the same model adapted in two dimensions. The local blockage effect is more favorable for fences than for staggered turbine configurations, increasing the local velocity and the power production for each turbine.

中文翻译：

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优化控制的 RANS 执行器力模型，用于潮汐涡轮机阵列的高效计算

摘要 开发了使用 RANS 方程的稳态致动器力模型来计算发电量和通过潮汐或河流大流士涡轮机阵列的流量。它使用详细的三维力分布，具体取决于涡轮机上的位置，这些分布是通过涡轮机的一组叶片解析 URANS 模拟预先获得的。建立了取决于局部速度而不是上游速度的新功率系数和力系数定律，并且似乎与阵列中的局部涡轮堵塞无关。这些定律用于构建一个模型，使执行器力分布适应到达每个涡轮机的局部速度，以模拟每个涡轮机在其最大效率点附近运行。该模型已针对缩小规模的 Darrieus 涡轮机的实验测量进行了验证。研究了围栏农场配置和两排农场配置，并将其与在二维中采用的相同模型的结果进行比较。与交错式涡轮机配置相比，围栏的局部堵塞效应对围栏更有利，从而增加了每个涡轮机的局部速度和发电量。