波浪能转换器的力限制控制：使用描述函数线性化
Force-Limited Control of Wave Energy Converters using a Describing Function Linearization
AI总结：
本文采用描述函数将波浪能转换器的力饱和非线性近似为线性阻抗失配，在频域中解析并图形化展示其对电力生产的影响，发现特定阻抗比系统对力限制最不敏感，为大规模优化设计提供新途径。
摘要：
执行器饱和是一种常见的非线性。在波浪能转换中，力饱和可以方便地限制传动系统尺寸和成本，同时对能量生成的影响最小。然而，此类非线性动力学通常需要数值模拟，这增加了计算成本并削弱了直觉。本文转而使用描述函数将力饱和非线性近似为线性阻抗失配。在频域中，控制器阻抗失配（如力限制、有限带宽或参数误差）对电力生产的影响，针对规则波中一个通用的无量纲化单自由度波浪能转换器进行了解析和图形化展示。结果通过史密斯圆图可视化。值得注意的是，具有特定无功与实机械阻抗比率的系统对力限制最不敏感，这一标准与共振和带宽考虑相冲突。描述函数方法显示出有望支持未来研究，如大规模设计优化和协同设计。
英文摘要：
Actuator saturation is a common nonlinearity. In wave energy conversion, force saturation conveniently limits drivetrain size and cost with minimal impact on energy generation. However, such nonlinear dynamics typically demand numerical simulation, which increases computational cost and diminishes intuition. This paper instead uses describing functions to approximate a force saturation nonlinearity as a linear impedance mismatch. In the frequency domain, the impact of controller impedance mismatch (such as force limit, finite bandwidth, or parameter error) on electrical power production is shown analytically and graphically for a generic nondimensionalized single degree of freedom wave energy converter in regular waves. Results are visualized with Smith charts. Notably, systems with a specific ratio of reactive to real mechanical impedance are least sensitive to force limits, a criteria which conflicts with resonance and bandwidth considerations. The describing function method shows promise to enable future studies such as large-scale design optimization and co-design.
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