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Model Reduction for Linear Descriptor Systems with Many Ports

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Book cover Progress in Industrial Mathematics at ECMI 2010

Part of the book series: Mathematics in Industry ((TECMI,volume 17))

Abstract

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.

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References

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Correspondence to André Schneider .

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Benner, P., Schneider, A. (2012). Model Reduction for Linear Descriptor Systems with Many Ports. In: Günther, M., Bartel, A., Brunk, M., Schöps, S., Striebel, M. (eds) Progress in Industrial Mathematics at ECMI 2010. Mathematics in Industry(), vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25100-9_16

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