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Algorithms for Reduction of Lumped Linear Passive R/L/C Networks to Simplified Exact Equivalent Circuits

IP.com Disclosure Number: IPCOM000052357D
Original Publication Date: 1981-Jun-01
Included in the Prior Art Database: 2005-Feb-11

Publishing Venue

IBM

Related People

Authors:
Chang, CS Weeks, WT [+details]

Abstract

A method is described to reduce very large lumped, linear, passive R-L- networks to much smaller, but mathematically exact equivalent circuits in the frequency domain. The main application is in electrical packaging analysis where multi-level wiring interconnections are modeled by R-L-C networks. These networks usually are too large to fit in available circuit analysis programs. The equivalent circuits fit easily. In a typical application, a network of 1000 resistors, 1000 capacitors, 1000 self-inductors, and 500,000 mutual inductances might be reduced to an equivalent impedance matrix having from 3 to 528 distinct elements.