Block rational Arnoldi algorithm for multipoint passive model-order reduction of multiport RLC networks

I. M. Elfadel, David D. Ling

Research output: Contribution to journalConference articlepeer-review

119 Scopus citations


Recent work in the area of model-order reduction for RLC interconnect networks has been focused on building reduced-order models that preserve the circuit-theoretic properties of the network, such as stability, passivity, and synthesizability. Passivity is the one circuit-theoretic property that is vital for the successful simulation of a large circuit netlist containing reduced-order models of its interconnect networks. Non-passive reduced-order models may lead to instabilities even if they are themselves stable. In this paper, we address the problem of guaranteeing the accuracy and passivity of reduced-order models of multiport RLC networks at any finite number of expansion points. The novel passivity-preserving model-order reduction scheme is a block version of the rational Arnoldi algorithm. The scheme reduces to that of [5] when applied to a single expansion point at zero frequency. Although the treatment of this paper is restricted to expansion points that are on the negative real axis, it is shown that the resulting passive reduced-order model is superior in accuracy to the one that would result from expanding the original model around a single point. Nyquist plots are used to illustrate both the passivity and the accuracy of the reduced-order models.

Original languageBritish English
Pages (from-to)66-71
Number of pages6
JournalIEEE/ACM International Conference on Computer-Aided Design, Digest of Technical Papers
StatePublished - 1997
EventProceedings of the 1997 IEEE/ACM International Conference on Computer-Aided Design, ICCAD - San Jose, CA, USA
Duration: 9 Nov 199713 Nov 1997


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