Invertibility Conditions for the Admittance Matrices of Balanced Power Systems

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....

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on power systems Vol. 38; no. 4; pp. 3841 - 3853
Main Authors Turizo, Daniel, Molzahn, Daniel K.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Admittance
Admittance matrix
circuit analysis
Current injection
Electrical impedance
Integrated circuit modeling
Network topologies
Null space
Phasors
Power engineering
Power system stability
Symmetric matrices
Voltage
Online AccessGet full text
ISSN0885-8950
1558-0679
DOI10.1109/TPWRS.2022.3206285

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2022.3206285