ENOR: model order reduction of RLC circuits using nodal equations for efficient factorization

Abstract

ENOR is an innovative way to produce provably-passive, reciprocal, and compact representations of RLC circuits. Beginning with the nodal equations, ENOR formulates recurrence relations for the moments that involve factorizing a symmetric, positive definite matrix; this contrasts with other RLC order reduction algorithms that require expensive LU factorization. It handles floating capacitors, inductor loops, and resistor links in a uniform way. It distinguishes between active and passive ports, does Gram-Schmidt orthogonalization on the fly, controls error in the time-domain. ENOR is a superbly simple, flexible, and well-conditioned algorithm for lightning reduction of mega-sized RLC trees, meshes, and coupled interconnects-all with excellent accuracy.