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

High-frequency characteristics of passive components are crucial to the electromagnetic compatibility (EMC) of an electronic system, and modeling of passive components is of significance for EMC analysis. However, challenges remain in the modeling of passive components with multiple resonant frequencies. In this paper, a method for establishing equivalent models of multi-resonant frequency passive components, including capacitors, inductors, and resistors, is proposed. Firstly, high-frequency equivalent circuit topologies of the multi-resonant frequency passive components, which are simple, easy to understand, and can be applied to the modeling of passive components with various impedance characteristics, are developed. Secondly, a calculation method of equivalent circuit parameters based on least squares and particle swarm optimization (PSO) is presented, which is not sensitive to the initial value, only needs the estimated range of the equivalent circuit parameters, and very suitable for getting the parameters of equivalent circuit models accurately and efficiently. Finally, to validate the method, some SPICE models of single components are established, and a PCB-level EMC analysis is implemented. The comparisons of the simulated and experimental results show the validity and accuracy of the method. The method is very useful for future components modeling when doing EMC design or other high-frequency designs.