A Time-Domain Numerical Method for Multi-Conductor Coaxial Lines Using the Exact Retarded Potential Integral Equations

We present a time-domain numerical method for calculating the current propagating through coaxial lines including the radiation effect. In previous studies of transmission lines using the retarded potential integral equations (RPIE), the so-called thin-wire approximation to the RPIE has been mainly...

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Main Authors: Shuji Kitora, Souma Jinno, Hiroshi Toki, Masayuki Abe
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9420059/
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spelling doaj-1bc2cd6f10814584a29e7b02f19315c92021-05-07T23:01:00ZengIEEEIEEE Access2169-35362021-01-019667816679010.1109/ACCESS.2021.30769319420059A Time-Domain Numerical Method for Multi-Conductor Coaxial Lines Using the Exact Retarded Potential Integral EquationsShuji Kitora0https://orcid.org/0000-0001-6833-8049Souma Jinno1https://orcid.org/0000-0002-1533-5853Hiroshi Toki2https://orcid.org/0000-0003-1332-8286Masayuki Abe3https://orcid.org/0000-0001-5619-3911Graduate School of Engineering Science, Osaka University, Toyonaka, JapanGraduate School of Engineering Science, Osaka University, Toyonaka, JapanGraduate School of Engineering Science, Osaka University, Toyonaka, JapanGraduate School of Engineering Science, Osaka University, Toyonaka, JapanWe present a time-domain numerical method for calculating the current propagating through coaxial lines including the radiation effect. In previous studies of transmission lines using the retarded potential integral equations (RPIE), the so-called thin-wire approximation to the RPIE has been mainly used. However, the thin-wire approximation has the problem that the unphysical oscillation occurs when the spatial mesh size is smaller than the radius, even for one-conductor line. In addition, the application of the thin-wire approximation in multi-conductor coaxial lines causes a problem in the formulation. We solve these problems by developing a numerical method using the exact RPIE. We perform numerical calculations in the time-domain for two-conductor coaxial lines and obtain numerical solutions even for the very small common-mode current that causes radiation emission.https://ieeexplore.ieee.org/document/9420059/Coaxial linestime-domaincommon-moderetarded potentialintegral equation
collection DOAJ
language English
format Article
sources DOAJ
author Shuji Kitora
Souma Jinno
Hiroshi Toki
Masayuki Abe
spellingShingle Shuji Kitora
Souma Jinno
Hiroshi Toki
Masayuki Abe
A Time-Domain Numerical Method for Multi-Conductor Coaxial Lines Using the Exact Retarded Potential Integral Equations
IEEE Access
Coaxial lines
time-domain
common-mode
retarded potential
integral equation
author_facet Shuji Kitora
Souma Jinno
Hiroshi Toki
Masayuki Abe
author_sort Shuji Kitora
title A Time-Domain Numerical Method for Multi-Conductor Coaxial Lines Using the Exact Retarded Potential Integral Equations
title_short A Time-Domain Numerical Method for Multi-Conductor Coaxial Lines Using the Exact Retarded Potential Integral Equations
title_full A Time-Domain Numerical Method for Multi-Conductor Coaxial Lines Using the Exact Retarded Potential Integral Equations
title_fullStr A Time-Domain Numerical Method for Multi-Conductor Coaxial Lines Using the Exact Retarded Potential Integral Equations
title_full_unstemmed A Time-Domain Numerical Method for Multi-Conductor Coaxial Lines Using the Exact Retarded Potential Integral Equations
title_sort time-domain numerical method for multi-conductor coaxial lines using the exact retarded potential integral equations
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2021-01-01
description We present a time-domain numerical method for calculating the current propagating through coaxial lines including the radiation effect. In previous studies of transmission lines using the retarded potential integral equations (RPIE), the so-called thin-wire approximation to the RPIE has been mainly used. However, the thin-wire approximation has the problem that the unphysical oscillation occurs when the spatial mesh size is smaller than the radius, even for one-conductor line. In addition, the application of the thin-wire approximation in multi-conductor coaxial lines causes a problem in the formulation. We solve these problems by developing a numerical method using the exact RPIE. We perform numerical calculations in the time-domain for two-conductor coaxial lines and obtain numerical solutions even for the very small common-mode current that causes radiation emission.
topic Coaxial lines
time-domain
common-mode
retarded potential
integral equation
url https://ieeexplore.ieee.org/document/9420059/
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