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Reduced-order modeling of large linear passive multi-terminal circuits using matrix-Pade approximation

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2 Author(s)
Freund, R.W. ; Lucent Technol., AT&T Bell Labs., Murray Hill, NJ, USA ; Feldmann, P.

This paper introduces SyMPVL, an algorithm for the approximation of the symmetric multi-port transfer function of an RLC circuit. The algorithm employs a symmetric block-Lanczos algorithm to reduce the original circuit matrices to a pair of typically much smaller, banded, symmetric matrices. These matrices determine a matrix-Pade approximation of the multi-port transfer function, and can serve as a reduced-order model of the original circuit. They can be “stamped” directly into the Jacobian matrix of a SPICE-type circuit simulator, or can be used to synthesize an equivalent smaller circuit. We also prove stability and passivity of the reduced-order models in the RL, RC, and LC special cases, and report numerical results for SyMPVL applied to example circuits

Published in:

Design, Automation and Test in Europe, 1998., Proceedings

Date of Conference:

23-26 Feb 1998