An equivalent modeling method of passive components with multi‐resonant frequency

High-frequency characteristics of passive components are crucial to the elec-tromagnetic compatibility (EMC) of an electronic system, and modeling of pas-sive components is of significance for EMC analysis. However, challengesremain in the modeling of passive components with multiple resonant fre-quencies. In this paper, a method for establishing equivalent models of multi-resonant frequency passive components, including capacitors, inductors, andresistors, is proposed. Firstly, high-frequency equivalent circuit topologies ofthe multi-resonant frequency passive components, which are simple, easy tounderstand, and can be applied to the modeling of passive components withvarious impedance characteristics, are developed. Secondly, a calculationmethod of equivalent circuit parameters based on least squares and particleswarm optimization (PSO) is presented, which is not sensitive to the initialvalue, only needs the estimated range of the equivalent circuit parameters, andvery suitable for getting the parameters of equivalent circuit models accuratelyand efficiently. Finally, to validate the method, some SPICE models of singlecomponents are established, and a PCB-level EMC analysis is implemented.The comparisons of the simulated and experimental results show the validityand accuracy of the method. The method is very useful for future componentsmodeling when doing EMC design or other high-frequency designs.