Model order reduction for nonlinear IC models

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

6 Citations (Scopus)

Abstract

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.
Original languageEnglish
Title of host publicationSystem Modeling and Optimization (23rd IFIP TC 7 Conference, Cracow, Poland, July 23-27, 2007, Revised Selected Papers)
EditorsA. Korytowski, K. Malanowski, W. Mitkowski, M. Szymkat
Place of PublicationBoston
PublisherSpringer
Pages476-491
ISBN (Print)978-3-642-04801-2
DOIs
Publication statusPublished - 2009

Publication series

NameIFIP Advances in Information and Communication Technology
Volume312
ISSN (Print)1868-4238

Fingerprint Dive into the research topics of 'Model order reduction for nonlinear IC models'. Together they form a unique fingerprint.

  • Cite this

    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 (Eds.), System Modeling and Optimization (23rd IFIP TC 7 Conference, Cracow, Poland, July 23-27, 2007, Revised Selected Papers) (pp. 476-491). (IFIP Advances in Information and Communication Technology; Vol. 312). Springer. https://doi.org/10.1007/978-3-642-04802-9_28