Method of moments wide‐band simulations of the microstrip circuits with second‐order Arnoldi reduced model

Abstract

An efficient reduced model of the method of moments based on the second-order Arnoldi (SOAR) algorithm is proposed for the wideband simulations of the microstrip circuits. In order to construct the reduced model, the second-order Taylor series is employed to expand the impedance matrix, and then the impedance matrix can be linearised with respect to the frequency with transformations. Thus a (SOAR) algorithm can be used to obtain the reduced model, which preserves the characteristics of the original model with predetermined error. The solutions of the reduced model can be obtained effectively at each frequency, and the surface currents of the original model can be obtained with a simple projection, thus the wideband interested parameters can be extracted.

Model Reduction by Generalized Falk Method for Efficient Field-Circuit Simulations

“…Model reduction techniques based on Krylov-subspace iterations, especially the Lanczos method and the Arnoldi method, 2 are popular tools to tackle the large-scale time-invariant linear dynamical systems that arise in the simulation of electronic circuits, e.g., [32][33][34][35][36][37][38][39][40], and electromagnetics, e.g., [9,41]. In [42] and [43], the AWE and Padé-via-Lanczos (PVL) model reduction procedures are extended to the use of electromagnetic analysis.…”