2012 | OriginalPaper | Buchkapitel
Model Reduction for Linear Descriptor Systems with Many Ports
verfasst von : Peter Benner, André Schneider
Erschienen in: Progress in Industrial Mathematics at ECMI 2010
Verlag: Springer Berlin Heidelberg
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Circuit simulation for power grid models leads to the challenge of model order reduction for linear descriptor systems with many ports. Based on the ESVDMOR idea of Feldmann and Liu [Proceedings of the 2004 IEEE/ACMInternational Conference on Computer-aided design (2004)],we have proposed several numerical improvements for ESVDMOR to enable the application to sparse and very largescale systems. In further investigations we have proven that ESVDMOR is, under a few assumptions, stability, passivity, and reciprocity preserving. This paper provides a survey of these developments and outlines error estimation for ESVDMOR.