| Publikationstyp: | Beitrag in wissenschaftlicher Zeitschrift |
| Art der Begutachtung: | Peer review (Publikation) |
| Titel: | Fast realization of the modal vector fitting method for rational modeling with accurate representation of small eigenvalues |
| Autor/-in: | Gustavsen, Bjørn Heitz, Christoph |
| DOI: | 10.1109/TPWRD.2008.2005462 |
| Erschienen in: | IEEE Transactions on Power Delivery |
| Band(Heft): | 24 |
| Heft: | 3 |
| Seite(n): | 1396 |
| Seiten bis: | 1405 |
| Erscheinungsdatum: | 2009 |
| Verlag / Hrsg. Institution: | IEEE |
| ISSN: | 0885-8977 |
| Sprache: | Englisch |
| Schlagwörter: | Signal processing |
| Fachgebiet (DDC): | 621.3: Elektro-, Kommunikations-, Steuerungs- und Regelungstechnik |
| Zusammenfassung: | 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 |
| Volltext Version: | Publizierte Version |
| Lizenz (gemäss Verlagsvertrag): | Lizenz gemäss Verlagsvertrag |
| Departement: | School of Engineering |
| Organisationseinheit: | Institut für Datenanalyse und Prozessdesign (IDP) |
| Enthalten in den Sammlungen: | 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.
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