Passive multipoint moment matching model order reduction algorithm on multiport distributed interconnect networks

In this paper, we introduce a general method of interconnect simulation bas ed on distributed circuits. The algorithm is very efficient and consists of two main steps. In the first step, each distributed line is modeled by a f inite order system with passivity preservation and multipoint moment matchi ng of its input admittance/impedance matrix. In the second step, an Arnoldi -based congruence transform is applied to the network to form its reduced o rder model. The main feature of the algorithm is in its first step, where a passive multipoint moment matching model of a distributed line can be gene rated without any discretization of the line, We provide an integrated-cong ruence transform which can be directly applied to the partial differential equations of a distributed line and generate a passive finite order system as its model. We also provide an algorithm based on the L-2 Hilbert space t heory so that exact moment matching at multiple points can be obtained. We demonstrate the accuracy of our method with examples and show the advantage of ours over conventional ones based on lumped circuit models.