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A theoretical study of the coupling between a vortex-induced vibration cylindrical resonator and an electromagnetic energy harvester

机译：涡激振动圆柱谐振器与电磁能量收集器耦合的理论研究

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This paper presents a theoretical study of the coupling between a vortex-induced vibration (VIV) cylindrical resonator and its associated linear electromagnetic generator. The two-equation mathematical model is based on a dual-mass formulation in which the dominant masses are the stator and translator masses of the generator. The fluid-structure interaction implemented in the model equations follows the so-called 'advanced forcing model' whose closure relies on experimental data. The rationale to carry out the study is the fact that in these types of configurations there is a two-way interaction between the moving parts in such a way that their motions influence each other simultaneously, thereby affecting the energy actually harvested. It is believed that instead of mainly resorting to complementary numerical simulations, a theoretical model can shed some light on the nature of the interaction and, at the same time, provide scaling laws that can be used for practical design and optimization purposes. It has been found that the proposed configuration has a maximum hydrodynamic to mechanical to electrical conversion efficiency (based on the VIV resonator oscillation amplitude) of 8%. For a cylindrical resonator 10 cm long with a 2 cm diameter, this translates into an output power of 20 to 160mW for water stream velocities in the range from 0.5 to 1 m s(-1).
机译：本文提出了涡激振动（VIV）圆柱谐振器与其相关的线性电磁发生器之间耦合的理论研究。两方程式数学模型基于双质量公式，其中主要质量是发电机的定子质量和翻译质量。在模型方程中实现的流固耦合遵循所谓的“高级强迫模型”，其闭环依赖于实验数据。进行研究的基本原理是，在这些类型的配置中，运动部件之间存在双向交互作用，以使它们的运动同时相互影响，从而影响了实际收集的能量。人们相信，代替主要依靠互补的数值模拟，理论模型可以阐明相互作用的本质，同时提供可用于实际设计和优化目的的缩放定律。已经发现，所提出的配置具有8％的最大流体动力到机械到电的转换效率（基于VIV谐振器振荡幅度）。对于直径为2 cm的10 cm长的圆柱谐振器，对于水流速度在0.5到1 m s（-1）范围内，这转化为20到160mW的输出功率。

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