Equivalent-Circuit Modeling for Multilayer Capacitors Based on Coupled Transmission-Line Theory

Abstract

This paper provides a novel modeling methodology for multilayer capacitors (MLCs) based on the coupled transmission-line theory. From an analytical solution of a single-layer capacitor, first- and second-order equivalent-circuit models for an N-layer capacitor are introduced using an infinite series approximation. The models demonstrated accurate prediction of the behavior of MLCs up to the first and second self-resonant frequencies. In addition, distributed physical parameters for the models were extracted directly from S-parameter measurements without an optimization process. High-frequency MLCs were measured up to 20 GHz using a vector network analyzer and compared with models from 1 to 47 pF.