Fast realization of the modal vector fitting method for rational modeling with accurate representation of small eigenvalues

Gustavsen, Bjørn; Heitz, Christoph

doi:10.1109/TPWRD.2008.2005462

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
Page(s):	1396
Pages to:	1405
Issue Date:	2009
Publisher / Ed. Institution:	IEEE
ISSN:	0885-8977
Language:	English
Subjects:	Signal processing
Subject (DDC):	621.3: Electrical, communications, control engineering
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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Gustavsen, B., & Heitz, C. (2009). Fast realization of the modal vector fitting method for rational modeling with accurate representation of small eigenvalues. IEEE Transactions on Power Delivery, 24(3), 1396–1405. https://doi.org/10.1109/TPWRD.2008.2005462

Gustavsen, B. and Heitz, C. (2009) ‘Fast realization of the modal vector fitting method for rational modeling with accurate representation of small eigenvalues’, IEEE Transactions on Power Delivery, 24(3), pp. 1396–1405. Available at: https://doi.org/10.1109/TPWRD.2008.2005462.

B. Gustavsen and C. Heitz, “Fast realization of the modal vector fitting method for rational modeling with accurate representation of small eigenvalues,” IEEE Transactions on Power Delivery, vol. 24, no. 3, pp. 1396–1405, 2009, doi: 10.1109/TPWRD.2008.2005462.

GUSTAVSEN, Bjørn und Christoph HEITZ, 2009. Fast realization of the modal vector fitting method for rational modeling with accurate representation of small eigenvalues. IEEE Transactions on Power Delivery. 2009. Bd. 24, Nr. 3, S. 1396–1405. DOI 10.1109/TPWRD.2008.2005462

Gustavsen, Bjørn, and Christoph Heitz. 2009. “Fast Realization of the Modal Vector Fitting Method for Rational Modeling with Accurate Representation of Small Eigenvalues.” IEEE Transactions on Power Delivery 24 (3): 1396–1405. https://doi.org/10.1109/TPWRD.2008.2005462.

Gustavsen, Bjørn, and Christoph Heitz. “Fast Realization of the Modal Vector Fitting Method for Rational Modeling with Accurate Representation of Small Eigenvalues.” IEEE Transactions on Power Delivery, vol. 24, no. 3, 2009, pp. 1396–405, https://doi.org/10.1109/TPWRD.2008.2005462.