Structure-Preserving Model Order Reduction of RCL Circuit Equations

Abstract

In recent years, order-reduction techniques based on Krylov subspaces have become the methods of choice for generating macromodels\rof large multi-port RCL circuits. Despite the success of these techniques and the extensive research efforts in this area,\rfor general RCL circuits, the existing Krylov subspace-based reduction algorithms do not fully preserve all essential structures\rof the given large RCL circuit. In this paper, we describe the problem of structure-preserving model order reduction of general\rRCL circuits, and we discuss two state-of-the-art algorithms, PRIMA and SPRIM, for the solution of this problem. Numerical\rresults are reported that illustrate the higher accuracy of SPRIM vs. PRIMA. We also mention some open problems.