H-Matrix Accelerated Contour Integral Method for Modeling Multiconductor Transmission Lines
(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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https://lup.lub.lu.se/record/850cd7dc-1e76-40e4-8884-d1350b47bb9c
- author
- Zhao, Yu ; Tang, Min ; Xiang, Shang LU and Mao, Junfa
- publishing date
- 2017
- type
- Contribution to journal
- publication status
- published
- subject
- in
- IEEE Transactions on Electromagnetic Compatibility
- volume
- 60
- issue
- 2
- pages
- 552 - 555
- publisher
- IEEE - 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
- 2022-01-31 02:46:13
@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 = {{IEEE - 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}}, doi = {{10.1109/TEMC.2017.2722820}}, volume = {{60}}, year = {{2017}}, }