论文标题

平衡功率系统的通用矩阵的可逆条件

Invertibility Conditions for the Admittance Matrices of Balanced Power Systems

论文作者

Turizo, Daniel, Molzahn, Daniel K.

论文摘要

接收矩阵编码功率系统的网络拓扑和电参数,以关联当前的注入和电压拟波器。由于入学矩阵对于许多动力工程分析都是核心,因此它们的特征是理论研究的重要主题。本文重点介绍\ emph {可逆性}的关键特征。以前的文献提出了入学矩阵的可逆条件。本文首先在证明这种可逆条件的证明中识别并解决了技术问题。然后,本文通过得出适用于具有无损分支的更广泛类别的系统和具有非攻击性比率的变压器的新条件来扩展以前的工作。

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.

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