弗雷内框架在电 circuits 中的应用
Applications of the Frenet Frame to Electric Circuits
AI总结：
本文探讨了电学量与几何量之间的关系，并利用弗雷内框架提供了一种定义稳态和暂态条件下电学量时间导数的通用框架，同时统一了时域和相量域方法。
摘要：
本文讨论了电压、电流和频率等电学量与几何量（如曲率和 torsion）之间的关系。所提出的方法基于微分几何中的弗雷内框架，为稳态和暂态条件下电学量的时间导数定义提供了一个通用框架。作为副产品，该方法统一并推广了时域和相量域框架。其他重要结果包括对频率与电压和电流时间导数之间联系的新解释，以及包含新概念“torsional frequency”的频率变化率定义。基于平衡、不平衡、谐波失真和暂态电压的多个数值示例展示了本文的发现。
英文摘要：
The paper discusses the relationships between electrical quantities, such as voltages, currents, and frequency, and geometrical ones, namely curvature and torsion. The proposed approach is based on the Frenet frame utilized in differential geometry and provides a general framework for the definition of the time derivative of electrical quantities in stationary as well as transient conditions. As a byproduct, the proposed approach unifies and generalizes the time- and phasor-domain frameworks. Other noteworthy results are a new interpretation of the link between frequency and the time derivatives of voltage and current; and a definition of the rate of change of frequency that includes the novel concept of "torsional frequency." Several numerical examples based on balanced, unbalanced, harmonically-distorted and transient voltages illustrate the findings of the paper.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
