On the fomulation and lumped equivalents extraction techniques for the efficient modeling of long interconnects

The paper investigates some crucial aspects in the derivation of efficient time-domain equivalent circuits of lossy multiconductor transmission lines. We firstly highlight the possibility to achieve an exact extraction of the delays from the propagation operators in the Multi Transmission Line model. This provides best properties for defining regular remainders of describing operators to be identified. Secondly, we address the problem of representation of such remainders, showing how a proper “rank” condition on the residue matrices leads directly to a minimal order circuit, so improving the accuracy of the procedure. The proposed formulation and identification procedure are then applied to a reference test case and results are compared to a more traditional approach.