| Publication type: | Article in scientific journal |
| Type of review: | Peer review (publication) |
| Title: | Fast realization of the modal vector fitting method for rational modeling with accurate representation of small eigenvalues |
| Authors: | Gustavsen, Bjørn Heitz, Christoph |
| DOI: | 10.1109/TPWRD.2008.2005462 |
| Published in: | IEEE Transactions on Power Delivery |
| Volume(Issue): | 24 |
| Issue: | 3 |
| Pages: | 1396 |
| Pages to: | 1405 |
| Issue Date: | 2009 |
| Publisher / Ed. Institution: | IEEE |
| ISSN: | 0885-8977 |
| Language: | English |
| Subjects: | Signal processing |
| Subject (DDC): | |
| Abstract: | Admittance-based rational modeling of multiport systems is prone to error magnification in applications with high-impedance terminations. This problem is overcome by the modal vector fitting method (MVF) which is formulated in terms of modal components with inverse least-squares weighting by the eigenvalue magnitude. A direct realization of MVF is very demanding in computation time and memory requirements. This paper overcomes the performance deficiency via three steps: 1) the required number of MVF iterations is reduced by precalculating an improved initial pole set via conventional vector fitting with inverse magnitude weighting; 2) the pole identification step is calculated in an efficient manner by solving for only the few essential unknowns while exploiting the sparse matrix structure; and 3) the residue identification step is calculated efficiently by a row-wise solution procedure that takes advantage of symmetry. The approach is demonstrated to give large savings for the modeling of a frequency-dependent network equivalent. |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/4428 |
| Fulltext version: | Published version |
| License (according to publishing contract): | Licence according to publishing contract |
| Departement: | School of Engineering |
| Organisational Unit: | Institute of Data Analysis and Process Design (IDP) |
| Appears in collections: | Publikationen School of Engineering |
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