Data-Driven Analysis of Electrochemical Impedance Spectroscopy Using the Loewner Framework

This repository provides MATLAB scripts for extracting the Distribution of Relaxation Times (DRT) from Electrochemical Impedance Spectroscopy (EIS) data using a data-driven approach based on the Loewner framework (LF). The methodology is demonstrated through the analysis of synthetic EIS data from different variants of Randles equivalent circuit models (ECMs), highlighting the capability of the LF-derived DRTs to distinguish them effectively despite their similar impedance spectra. Furthermore, the approach is validated using experimental EIS data from a ferrocyanide redox system, successfully identifying the most appropriate ECM. The repository also includes the analyzed experimental data to facilitate further validation and exploration. All necessary instructions and explanations for using the scripts are provided within the scripts themselves as comments.

本仓库提供了基于勒夫纳框架（Loewner framework，LF）的数据驱动方法，用于从电化学阻抗谱（Electrochemical Impedance Spectroscopy，EIS）数据中提取弛豫时间分布（Distribution of Relaxation Times，DRT）的MATLAB脚本。该方法通过分析来自不同类型朗道尔等效电路模型（Randles equivalent circuit models，ECMs）的合成EIS数据进行了演示，结果表明，尽管这些模型的阻抗谱特征相似，但基于勒夫纳框架得到的弛豫时间分布仍可有效区分不同模型。此外，本方法还通过亚铁氰化物氧化还原体系（ferrocyanide redox system）的实验EIS数据进行了验证，成功遴选出最适配的等效电路模型。本仓库同时附带了已分析的实验数据，以方便后续的验证与拓展研究。所有脚本的使用说明与细节解释均已以注释形式内嵌于脚本之中。