Calculation of capacitances and inductances of ring conductors in a stratified medium

Tommi Dufva, Johan Sten

Research output: Contribution to journalArticleScientificpeer-review

Abstract

The paper presents an accurate and efficient method for calculating the capacitances and the inductances of thick-ring conductors in a stratified medium. These parameters are evaluated from the charges and the currents found from two separate surface integral equations using the Galerkin method. The relevant Green's functions are written in a spatial-spectral hybrid form, and the hybrid method is pursued further to the evaluation of the respective system matrix elements. The charges and the currents are estimated by using entire-domain basis functions including the physically correct edge behaviour of the distributions on the conductors with a rectangular cross-section.
Original languageEnglish
Pages (from-to)581-599
Number of pages19
JournalElectromagnetics
Volume26
Issue number8
DOIs
Publication statusPublished - 2006
MoE publication typeA1 Journal article-refereed

Fingerprint

Galerkin methods
Green's function
inductance
Inductance
Integral equations
Capacitance
conductors
capacitance
Galerkin method
rings
integral equations
Green's functions
evaluation
cross sections
matrices

Keywords

  • capacitance
  • inductance
  • ring conductor
  • electrostatic surface integral equation
  • magnetostatic surface integral equation
  • spatial-spectral hybrid method
  • entire-domain basis functions
  • edge singularity

Cite this

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title = "Calculation of capacitances and inductances of ring conductors in a stratified medium",
abstract = "The paper presents an accurate and efficient method for calculating the capacitances and the inductances of thick-ring conductors in a stratified medium. These parameters are evaluated from the charges and the currents found from two separate surface integral equations using the Galerkin method. The relevant Green's functions are written in a spatial-spectral hybrid form, and the hybrid method is pursued further to the evaluation of the respective system matrix elements. The charges and the currents are estimated by using entire-domain basis functions including the physically correct edge behaviour of the distributions on the conductors with a rectangular cross-section.",
keywords = "capacitance, inductance, ring conductor, electrostatic surface integral equation, magnetostatic surface integral equation, spatial-spectral hybrid method, entire-domain basis functions, edge singularity",
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Calculation of capacitances and inductances of ring conductors in a stratified medium. / Dufva, Tommi; Sten, Johan.

In: Electromagnetics, Vol. 26, No. 8, 2006, p. 581-599.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Calculation of capacitances and inductances of ring conductors in a stratified medium

AU - Dufva, Tommi

AU - Sten, Johan

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N2 - The paper presents an accurate and efficient method for calculating the capacitances and the inductances of thick-ring conductors in a stratified medium. These parameters are evaluated from the charges and the currents found from two separate surface integral equations using the Galerkin method. The relevant Green's functions are written in a spatial-spectral hybrid form, and the hybrid method is pursued further to the evaluation of the respective system matrix elements. The charges and the currents are estimated by using entire-domain basis functions including the physically correct edge behaviour of the distributions on the conductors with a rectangular cross-section.

AB - The paper presents an accurate and efficient method for calculating the capacitances and the inductances of thick-ring conductors in a stratified medium. These parameters are evaluated from the charges and the currents found from two separate surface integral equations using the Galerkin method. The relevant Green's functions are written in a spatial-spectral hybrid form, and the hybrid method is pursued further to the evaluation of the respective system matrix elements. The charges and the currents are estimated by using entire-domain basis functions including the physically correct edge behaviour of the distributions on the conductors with a rectangular cross-section.

KW - capacitance

KW - inductance

KW - ring conductor

KW - electrostatic surface integral equation

KW - magnetostatic surface integral equation

KW - spatial-spectral hybrid method

KW - entire-domain basis functions

KW - edge singularity

U2 - 10.1080/02726340600978323

DO - 10.1080/02726340600978323

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