Admittance-based modelling of cables and overhead lines by idempotent decomposition

Felipe Camara; Antonio C.S. Lima; Maria Teresa Correia de Barros; Filipe Faria da Silva; Claus L. Bak

doi:10.1016/j.epsr.2023.109596

Admittance-based modelling of cables and overhead lines by idempotent decomposition

Felipe Camara^*, Antonio C.S. Lima, Maria Teresa Correia de Barros, Filipe Faria da Silva, Claus L. Bak

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

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Abstract

This paper presents a new modelling approach based on idempotent decomposition of the nodal admittance matrix for representation of cables and overhead lines (OHL). By subjecting the idempotent matrices rather than the nodal admittance matrix to rational fitting, the poor observability of the smallest eigenvalues in the lower frequency range is overcome. Unlike the well-known method of characteristics (MoC), this alternative representation yields a so general fully-coupled admittance matrix suitable to tackle scenarios encompassing short and long lengths. Besides retaining the frequency dependence of parameters, the proposed phase-domain model showed to be accurate and suitable to circumvent the requirement of small time-steps.

Original language	English
Article number	109596
Journal	Electric Power Systems Research
Volume	224
ISSN	0378-7796
DOIs	https://doi.org/10.1016/j.epsr.2023.109596
Publication status	Published - Nov 2023

Bibliographical note

Publisher Copyright:
© 2023

Keywords

Cable
Electromagnetic transients
Idempotent decomposition
Modelling
Overhead line
Vector fitting

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@article{dc737052d0c94803ae54f012b3e5c88d,

title = "Admittance-based modelling of cables and overhead lines by idempotent decomposition",

abstract = "This paper presents a new modelling approach based on idempotent decomposition of the nodal admittance matrix for representation of cables and overhead lines (OHL). By subjecting the idempotent matrices rather than the nodal admittance matrix to rational fitting, the poor observability of the smallest eigenvalues in the lower frequency range is overcome. Unlike the well-known method of characteristics (MoC), this alternative representation yields a so general fully-coupled admittance matrix suitable to tackle scenarios encompassing short and long lengths. Besides retaining the frequency dependence of parameters, the proposed phase-domain model showed to be accurate and suitable to circumvent the requirement of small time-steps.",

keywords = "Cable, Electromagnetic transients, Idempotent decomposition, Modelling, Overhead line, Vector fitting",

author = "Felipe Camara and Lima, {Antonio C.S.} and {Correia de Barros}, {Maria Teresa} and {da Silva}, {Filipe Faria} and Bak, {Claus L.}",

note = "Publisher Copyright: {\textcopyright} 2023",

year = "2023",

month = nov,

doi = "10.1016/j.epsr.2023.109596",

language = "English",

volume = "224",

journal = "Electric Power Systems Research",

issn = "0378-7796",

publisher = "Elsevier",

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TY - JOUR

T1 - Admittance-based modelling of cables and overhead lines by idempotent decomposition

AU - Camara, Felipe

AU - Lima, Antonio C.S.

AU - Correia de Barros, Maria Teresa

AU - da Silva, Filipe Faria

AU - Bak, Claus L.

PY - 2023/11

Y1 - 2023/11

N2 - This paper presents a new modelling approach based on idempotent decomposition of the nodal admittance matrix for representation of cables and overhead lines (OHL). By subjecting the idempotent matrices rather than the nodal admittance matrix to rational fitting, the poor observability of the smallest eigenvalues in the lower frequency range is overcome. Unlike the well-known method of characteristics (MoC), this alternative representation yields a so general fully-coupled admittance matrix suitable to tackle scenarios encompassing short and long lengths. Besides retaining the frequency dependence of parameters, the proposed phase-domain model showed to be accurate and suitable to circumvent the requirement of small time-steps.

AB - This paper presents a new modelling approach based on idempotent decomposition of the nodal admittance matrix for representation of cables and overhead lines (OHL). By subjecting the idempotent matrices rather than the nodal admittance matrix to rational fitting, the poor observability of the smallest eigenvalues in the lower frequency range is overcome. Unlike the well-known method of characteristics (MoC), this alternative representation yields a so general fully-coupled admittance matrix suitable to tackle scenarios encompassing short and long lengths. Besides retaining the frequency dependence of parameters, the proposed phase-domain model showed to be accurate and suitable to circumvent the requirement of small time-steps.

KW - Cable

KW - Electromagnetic transients

KW - Idempotent decomposition

KW - Modelling

KW - Overhead line

KW - Vector fitting

UR - http://www.scopus.com/inward/record.url?scp=85169829578&partnerID=8YFLogxK

U2 - 10.1016/j.epsr.2023.109596

DO - 10.1016/j.epsr.2023.109596

M3 - Journal article

AN - SCOPUS:85169829578

SN - 0378-7796

VL - 224

JO - Electric Power Systems Research

JF - Electric Power Systems Research

M1 - 109596

ER -

Admittance-based modelling of cables and overhead lines by idempotent decomposition

Abstract

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