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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