Invertibility Conditions for the Admittance Matrices of Balanced Power Systems

Invertibility Conditions for the Admittance Matrices of Balanced Power Systems
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DOI:
10.1109/tpwrs.2022.3206285
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发表时间:
2020-12
影响因子:
6.6
通讯作者:
Daniel Turizo;D. Molzahn
Daniel Turizo;D. Molzahn
中科院分区:
工程技术1区
文献类型:
--
作者:
Daniel Turizo;D. Molzahn

文献摘要

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导纳矩阵对电力系统的网络拓扑结构和电气参数进行编码,以便将电流注入和电压相量联系起来。导纳矩阵是许多电力工程分析的核心,其特性是理论研究的重要课题。本文重点研究了可逆性的关键特征。以前的文献提出了导纳矩阵的可逆性条件。本文首先确定并解决了在证明这个先前提出的可逆性条件中的一个技术问题。然后,本文通过推导适用于具有非标称分接比的无损支路和变压器的更广泛类别的新条件来扩展先前的工作。
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 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.