# A Novel In-Circuit Impedance Modeling Method and Variation Characteristics Analysis for SMPS

## TL;DR

This paper introduces a new method to model and analyze impedance in power supplies, improving EMI filter design.

## Contribution

A novel in-circuit impedance modeling method based on inductive coupling is proposed, revealing impedance variation characteristics.

## Key findings

- The in-circuit impedance depends on external impedance, modal impedance, and switching mode proportions.
- The model accurately captures impedance variation from 10 kHz to 30 MHz with low deviation.
- Simulation and experimental results validate the model's effectiveness for EMI suppression design.

## Abstract

The precise in-circuit impedance extraction in a switched-mode power supply (SMPS) is essential for the optimal design of electromagnetic interference (EMI) filters. The design of EMI filter parameters based on in-circuit impedance has already been widely investigated in the literature, but the variation characteristics of the in-circuit impedance for an SMPS is still a research gap and needs further study. In this article, based on the concept of the inductive coupling approach, a novel method for in-circuit impedance modeling is proposed. Subsequently, an accurate in-circuit impedance modeling is derived, which indicates that the in-circuit impedance for the SMPS is related to the external impedance, the modal impedance under different switching modes, and the proportion of each switching mode. Based on the derived model, the variation characteristics of the in-circuit impedance are revealed, which can provide valuable guidance for the design of EMI suppression measures. Finally, the simulation results show good agreement with the calculated results. Experimental verification further indicates that the model accurately characterizes the impedance of the switching power supply across the range of 10 kHz to 30 MHz, with amplitude deviation within 3 dB and phase deviation below 6 degrees. This work provides a quantitative foundation for designing electromagnetic interference suppression strategies, enabling more precise filter optimization over a broad frequency range.