{"title":"A comparative study of battery state of charge estimation with equivalent circuit model and empirical model","authors":"Zichuan Ni, Chao Jia","doi":"10.1016/j.measurement.2025.119162","DOIUrl":null,"url":null,"abstract":"<div><div>The equivalent circuit model and empirical model are commonly used for battery prognostics for electric vehicles in industry. This paper gives a comprehensive comparison study from system modeling to parameter estimation and state of charge (SOC) estimation between the two models. For the equivalent circuit model, an accurate parameter identification method is applied by deducing least square form with the pulse discharging data, and the SOC is estimated by designing a reduced-order observer. For the empirical model, the parameters are determined directly from dynamic testing data, and then a novel modified Luenberger observer is designed for SOC estimation for the nonlinear system, where the convergence is validated by designing a Lyapunov function. Finally, a comprehensive comparison analysis is demonstrated in model structure, modeling accuracy, SOC estimation accuracy, feasibility, initial bias situations and hyperparameters, which provide practical guide for industrial applications.</div></div>","PeriodicalId":18349,"journal":{"name":"Measurement","volume":"258 ","pages":"Article 119162"},"PeriodicalIF":5.6000,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Measurement","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0263224125025217","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The equivalent circuit model and empirical model are commonly used for battery prognostics for electric vehicles in industry. This paper gives a comprehensive comparison study from system modeling to parameter estimation and state of charge (SOC) estimation between the two models. For the equivalent circuit model, an accurate parameter identification method is applied by deducing least square form with the pulse discharging data, and the SOC is estimated by designing a reduced-order observer. For the empirical model, the parameters are determined directly from dynamic testing data, and then a novel modified Luenberger observer is designed for SOC estimation for the nonlinear system, where the convergence is validated by designing a Lyapunov function. Finally, a comprehensive comparison analysis is demonstrated in model structure, modeling accuracy, SOC estimation accuracy, feasibility, initial bias situations and hyperparameters, which provide practical guide for industrial applications.
期刊介绍:
Contributions are invited on novel achievements in all fields of measurement and instrumentation science and technology. Authors are encouraged to submit novel material, whose ultimate goal is an advancement in the state of the art of: measurement and metrology fundamentals, sensors, measurement instruments, measurement and estimation techniques, measurement data processing and fusion algorithms, evaluation procedures and methodologies for plants and industrial processes, performance analysis of systems, processes and algorithms, mathematical models for measurement-oriented purposes, distributed measurement systems in a connected world.