平衡电力系统导纳矩阵的可逆性条件
Invertibility Conditions for the Admittance Matrices of Balanced Power Systems
AI总结：
本文修正了导纳矩阵可逆性条件的证明问题，并推导出适用于更广泛系统的新的可逆性条件。
摘要：
导纳矩阵用于编码电力系统的网络拓扑和电气参数，以建立电流注入与电压相量之间的关系。由于导纳矩阵在许多电力工程分析中居于核心地位，其特性是理论研究的重要课题。本文聚焦于导纳矩阵的关键特性——可逆性。先前文献已提出了导纳矩阵的可逆性条件。本文首先识别并修正了之前提出的可逆性条件证明中的技术问题。然后，本文通过推导新的条件，扩展了先前工作，这些条件适用于更广泛的系统，包括无损耗支路和非额定变比的变压器。
英文摘要：
The admittance matrix encodes the network topology and electrical parameters of a power system in order to relate the current injection and voltage phasors. Since admittance matrices are central to many power engineering analyses, their characteristics are important subjects of theoretical studies. This paper focuses on the key characteristic of \emph{invertibility}. Previous literature has presented an invertibility condition for admittance matrices. This paper first identifies and fixes a technical issue in the proof of this previously presented invertibility condition. This paper then extends this previous work by deriving new conditions that are applicable to a broader class of systems with lossless branches and transformers with off-nominal tap ratios.
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。
