HMatrix Accelerated Contour Integral Method for Modeling Multiconductor Transmission Lines
(2017) In IEEE Transactions on Electromagnetic Compatibility 60(2). p.552555 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 hierarchicalmatrix (Hmatrix) algorithm for the extraction of the perunitlength resistance and inductance parameters of massively coupled transmission lines. The procedures for the Hmatrixbased 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 hierarchicalmatrix (Hmatrix) algorithm for the extraction of the perunitlength resistance and inductance parameters of massively coupled transmission lines. The procedures for the Hmatrixbased 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 Hmatrices are both O(N log N), and the complexity of the solution for parameter extraction is O(N log2 N). (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/850cd7dc1e7640e48884d1350b47bb9c
 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
 Institute of Electrical and Electronics Engineers Inc.
 external identifiers

 scopus:85028944177
 ISSN
 00189375
 DOI
 10.1109/TEMC.2017.2722820
 language
 English
 LU publication?
 no
 id
 850cd7dc1e7640e48884d1350b47bb9c
 date added to LUP
 20180406 18:04:01
 date last changed
 20190106 13:50:05
@article{850cd7dc1e7640e48884d1350b47bb9c, 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 hierarchicalmatrix (Hmatrix) algorithm for the extraction of the perunitlength resistance and inductance parameters of massively coupled transmission lines. The procedures for the Hmatrixbased 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 Hmatrices 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 = {00189375}, language = {eng}, number = {2}, pages = {552555}, publisher = {Institute of Electrical and Electronics Engineers Inc.}, series = {IEEE Transactions on Electromagnetic Compatibility}, title = {HMatrix Accelerated Contour Integral Method for Modeling Multiconductor Transmission Lines}, url = {http://dx.doi.org/10.1109/TEMC.2017.2722820}, volume = {60}, year = {2017}, }