Model order reduction for nonlinear IC models

A. Verhoeven, M. Striebel, E.J.W. Maten, ter, R.M.M. Mattheij

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

6 Citaten (Scopus)

Samenvatting

Model order reduction is a mathematical technique to transform nonlinear dynamical models into smaller ones, that are easier to analyze. In this paper we demonstrate how model order reduction can be applied to nonlinear electronic circuits. First we give an introduction to this important topic. For linear time-invariant systems there exist already some well-known techniques, like Truncated Balanced Realization. Afterwards we deal with some typical problems for model order reduction of electronic circuits. Because electronic circuits are highly nonlinear, it is impossible to use the methods for linear systems directly. Three reduction methods, which are suitable for nonlinear differential algebraic equation systems are summarized, the Trajectory piecewise Linear approach, Empirical Balanced Truncation, and the Proper Orthogonal Decomposition. The last two methods have the Galerkin projection in common. Because Galerkin projection does not decrease the evaluation costs of a reduced model, some interpolation techniques are discussed (Missing Point Estimation, and Adapted POD). Finally we show an application of model order reduction to a nonlinear academic model of a diode chain.
Originele taal-2Engels
TitelSystem Modeling and Optimization (23rd IFIP TC 7 Conference, Cracow, Poland, July 23-27, 2007, Revised Selected Papers)
RedacteurenA. Korytowski, K. Malanowski, W. Mitkowski, M. Szymkat
Plaats van productieBoston
UitgeverijSpringer
Pagina's476-491
ISBN van geprinte versie978-3-642-04801-2
DOI's
StatusGepubliceerd - 2009

Publicatie series

NaamIFIP Advances in Information and Communication Technology
Volume312
ISSN van geprinte versie1868-4238

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  • Citeer dit

    Verhoeven, A., Striebel, M., Maten, ter, E. J. W., & Mattheij, R. M. M. (2009). Model order reduction for nonlinear IC models. In A. Korytowski, K. Malanowski, W. Mitkowski, & M. Szymkat (editors), System Modeling and Optimization (23rd IFIP TC 7 Conference, Cracow, Poland, July 23-27, 2007, Revised Selected Papers) (blz. 476-491). (IFIP Advances in Information and Communication Technology; Vol. 312). Springer. https://doi.org/10.1007/978-3-642-04802-9_28