Abstract The Froude scaling law is usually utilized in the wave basin model tests of Floating Wind Turbines (FWTs). However, the Froude-Scaled Rotor (FSR) cannot generate desired aerodynamic loads due to the Reynolds-Number Scaling Effect (RNSE). To mitigate the adverse effects of RNSE, two approaches are proposed to design Performance-Scaled Rotors (PSRs) in this paper. Taking DTU 10 MW baseline wind turbine as an example, the SD2030 airfoil is selected to replace the original FFA-W3-xx airfoils. Maximum Lift Tracking (MLT) and Load Distribution Matching (LDM) algorithms are proposed to assign the chord lengths and twist angles. Herein, MLT leads all airfoils to operate at the optimal angle of attack that corresponds to the maximum lift coefficient and afterwards increasing the chord lengths. LDM simultaneously adjusts the chord length and twist angle, aiming to match the span-wise distribution of normal force at the design point. Results show that both approaches can generate desired rotor thrusts in a range of tip speed ratios, which seems to outperform prior PSRs in the existing publications. The blade mass and inertia can be preserved with careful manufacturing procedures. The redesigned PSRs are helpful to improve the accuracy and reliability of FWT model tests in the wave basin.

中文翻译：

---

浮动式风轮机波盆模型试验性能比例转子设计方法

摘要 Froude标度定律通常用于浮式风力涡轮机（FWTs）的波盆模型试验。然而，由于雷诺数标度效应 (RNSE)，弗劳德标度转子 (FSR) 无法产生所需的空气动力载荷。为了减轻 RNSE 的不利影响，本文提出了两种设计性能缩放转子 (PSR) 的方法。以DTU 10 MW基线风电机组为例，选用SD2030翼型替代原有FFA-W3-xx翼型。提出了最大升力跟踪 (MLT) 和载荷分布匹配 (LDM) 算法来分配弦长和扭转角。在这里，MLT 引导所有翼型以对应于最大升力系数的最佳攻角运行，然后增加弦长。LDM 同时调整弦长和扭转角，旨在匹配设计点法向力的展向分布。结果表明，这两种方法都可以在一定的叶尖速比范围内产生所需的转子推力，这似乎优于现有出版物中的先前 PSR。刀片质量和惯性可以通过仔细的制造程序来保持。重新设计的 PSR 有助于提高波盆 FWT 模型试验的准确性和可靠性。