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H-Matrix Accelerated Contour Integral Method for Modeling Multiconductor Transmission Lines

Zhao, Yu; Tang, Min; Xiang, Shang LU and Mao, Junfa (2017) In IEEE Transactions on Electromagnetic Compatibility 60(2). p.552-555
Abstract

An efficient algorithm based on the contour integral method (CIM) is presented in this letter for the modeling of lossy multiconductor transmission lines. Different from the volume integral equation, the CIM only discretizes the contour of the cross section of each conductor, which significantly reduces the number of unknowns in the resultant system equations. The solution of the CIM is accelerated by the hierarchical-matrix (H-matrix) algorithm for the extraction of the per-unit-length resistance and inductance parameters of massively coupled transmission lines. The procedures for the H-matrix-based solution are optimized to keep its optimal computational complexity. The numerical results from the proposed method agree well with... (More)

An efficient algorithm based on the contour integral method (CIM) is presented in this letter for the modeling of lossy multiconductor transmission lines. Different from the volume integral equation, the CIM only discretizes the contour of the cross section of each conductor, which significantly reduces the number of unknowns in the resultant system equations. The solution of the CIM is accelerated by the hierarchical-matrix (H-matrix) algorithm for the extraction of the per-unit-length resistance and inductance parameters of massively coupled transmission lines. The procedures for the H-matrix-based solution are optimized to keep its optimal computational complexity. The numerical results from the proposed method agree well with those from the commercial software. The complexities of CPU time and memory cost for the construction of the H-matrices are both O(N log N), and the complexity of the solution for parameter extraction is O(N log2 N). (Less)
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author
publishing date
type
Contribution to journal
publication status
published
subject
in
IEEE Transactions on Electromagnetic Compatibility
volume
60
issue
2
pages
552 - 555
publisher
Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85028944177
ISSN
0018-9375
DOI
10.1109/TEMC.2017.2722820
language
English
LU publication?
no
id
850cd7dc-1e76-40e4-8884-d1350b47bb9c
date added to LUP
2018-04-06 18:04:01
date last changed
2019-01-06 13:50:05
@article{850cd7dc-1e76-40e4-8884-d1350b47bb9c,
  abstract     = {<br/>An efficient algorithm based on the contour integral method (CIM) is presented in this letter for the modeling of lossy multiconductor transmission lines. Different from the volume integral equation, the CIM only discretizes the contour of the cross section of each conductor, which significantly reduces the number of unknowns in the resultant system equations. The solution of the CIM is accelerated by the hierarchical-matrix (H-matrix) algorithm for the extraction of the per-unit-length resistance and inductance parameters of massively coupled transmission lines. The procedures for the H-matrix-based solution are optimized to keep its optimal computational complexity. The numerical results from the proposed method agree well with those from the commercial software. The complexities of CPU time and memory cost for the construction of the H-matrices are both O(N log N), and the complexity of the solution for parameter extraction is O(N log2 N).},
  author       = {Zhao, Yu and Tang, Min and Xiang, Shang and Mao, Junfa},
  issn         = {0018-9375},
  language     = {eng},
  number       = {2},
  pages        = {552--555},
  publisher    = {Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Electromagnetic Compatibility},
  title        = {H-Matrix Accelerated Contour Integral Method for Modeling Multiconductor Transmission Lines},
  url          = {http://dx.doi.org/10.1109/TEMC.2017.2722820},
  volume       = {60},
  year         = {2017},
}