A Coordinate-transformed Arnoldi Algorithm for Generating Guaranteed Stable Reduced-order Models of Arbitrary Rlc Circuits

Since the rst papers on asymptotic waveform evaluation (AWE), Pad e-based reduced order models have become standard for improving coupled circuit-interconnect simulation eeciency. Such models can be accurately computed using bi-orthogonalization algorithms like Pad e via Lanczos (PVL), but the resulting Pad e approximates can still be unstable even when generated from stable RLC circuits. For certain classes of RC circuits it has been shown that congruence transforms, like the Arnoldi algorithm, can generate guaranteed stable and passive reduced-order models. In this paper we present a computationally ee-cient model-order reduction technique, the coordinate-transformed Arnoldi algorithm, and show that this method generates arbitrarily accurate and guaranteed stable reduced-order models for arbitrary RLC circuits. Examples are presented which demonstrate the enhanced stability and eeciency of the new method.