Using Strictly Dissipative Impedance Coupling in the Waveform Relaxation Method for the Analysis of Interconnect Circuits

摘要

Dissipative impedance coupling is introduced in the waveform relaxation algorithm with longitudinal partitioning to address the slow convergence of standard resistive coupling in the analysis of low-loss highly reactive circuits. The pertinence, feasibility, and consistency of the proposed WR algorithm are demonstrated. Its convergence is examined for any passive linear time-invariant (LTI) system. Rational-with-delay impedances are presented to decouple general transmission line circuits. The proposed coupling strategy uses coarse macromodeling of the transmission lines to construct the coupling impedances directly as passive distributed auxiliary circuits. Numerical examples show a superior speed of convergence and further runtime savings.