This paper presents a new dynamic inflow model for vertical‐axis wind turbines (VAWTs). The model uses the principle of Duhamel's integral. The indicial function of the inflow‐ and crossflow‐induction required to apply Duhamel's integral is represented by an exponential function depending on the thrust coefficient and the azimuthal position. The parameters of this approximation are calibrated using a free wake vortex model. The model is compared with the results of a vortex model and higher fidelity computational fluid dynamic (CFD) simulations for the response of an actuator cylinder to a step input of the thrust and to a cyclic thrust. It is found that the discrepancies of the dynamic inflow model increase with increasing reduced frequency and baseline thrust. However, the deviations remain small. Analysing the application of a finite‐bladed floating VAWT with non‐uniform loading and validating it against actuator line CFD results that intrinsically include dynamic inflow shows that the new dynamic inflow model significantly outperforms the Larsen and Madsen model (which is the current standard in fully coupled VAWT models) and enhances the modelling of VAWTs.

中文翻译：

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垂直轴风力发电机的新动态流入模型

本文提出了一种用于垂直轴风力涡轮机（VAWT）的新的动态流入模型。该模型使用了Duhamel积分的原理。应用Duhamel积分所需的入流和横流归纳的独立函数由取决于推力系数和方位角位置的指数函数表示。使用自由尾流涡流模型校准该近似值的参数。将该模型与涡流模型和更高逼真度的计算流体力学（CFD）仿真结果进行比较，以了解执行器气缸对推力的阶跃输入和循环推力的响应。发现动态流入模型的差异随着频率和基线推力的减小而增加。但是，偏差仍然很小。