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arXiv 2512.09574eess.SYcs.SY
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瞬时复相位与频率:概念澄清及在传输系统中标准建模假设下的等价性

Instantaneous Complex Phase and Frequency: Conceptual Clarification and Equivalence between Formulations

École Polytechnique Fédérale de Lausanne(洛桑联邦理工学院);University College Dublin(都柏林大学学院)

César García-Veloso, Mario Paolone, Federico Milano

AI总结:

本文澄清了瞬时复相位和频率的不同定义及其在标准传输系统建模假设下的等价性,提出统一的术语以避免混淆。

摘要:

本文旨在澄清瞬时复相位和频率的不同定义及其在标准传输系统建模假设下的等价性,即平衡正序运行、仅存在机电暂态动态以及无谐波和互谐波。为此,提出了两种基本定义,即基于解析信号或空间向量的定义,以及其建模前提,并展示了它们之间的关系。最后,提出了一套统一的术语以避免混淆。

英文摘要:

This letter seeks to clarify the different existing definitions of both instantaneous complex phase and frequency as well as their equivalence under standard modeling assumptions considered for transmission systems, i.e. balanced positive sequence operation, sole presence of electro-mechanical transient dynamics and absence of harmonics and interharmonics. To achieve this, the two fundamental definitions, i.e., those based on either the use of (i) analytic signals or (ii) space vectors, together with the premises used for their formulation, are presented and their relationship shown. Lastly, a unified notation and terminology to avoid confusion is proposed.

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。

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