Real-Time Estimation of the State of Charge of Lithium Batteries Under a Wide Temperature Range

The state of charge (<i>SOC</i>) of lithium-ion batteries is essential for their proper functioning and serves as the basis for estimating other parameters within the battery management system. To enhance the accuracy of <i>SOC</i> estimation in lithium-ion batteries, we prop...

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Main Authors: Da Li, Lu Liu, Chuanxu Yue, Xiaojin Gao, Yunhai Zhu
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Energies
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Online Access:https://www.mdpi.com/1996-1073/18/7/1866
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author Da Li
Lu Liu
Chuanxu Yue
Xiaojin Gao
Yunhai Zhu
author_facet Da Li
Lu Liu
Chuanxu Yue
Xiaojin Gao
Yunhai Zhu
author_sort Da Li
collection DOAJ
description The state of charge (<i>SOC</i>) of lithium-ion batteries is essential for their proper functioning and serves as the basis for estimating other parameters within the battery management system. To enhance the accuracy of <i>SOC</i> estimation in lithium-ion batteries, we propose a joint estimation method that integrates lithium-ion battery parameter identification and <i>SOC</i> assessment using cat swarm optimization dual Kalman filtering (CSO–DKF), which accounts for variable-temperature conditions. We adopt a second-order equivalent circuit model, utilizing the Kalman filtering (KF) algorithm as a parameter filter for dynamic parameter identification, while the extended Kalman filtering (EKF) algorithm acts as a state filter for real-time <i>SOC</i> estimation. These two filters operate alternately throughout the iterative process. Additionally, the cat swarm optimization (CSO) algorithm optimizes the noise covariance matrices of both filters, thereby enhancing the precision of parameter identification and <i>SOC</i> estimation. To support this algorithm, we establish an environmental temperature battery database and incorporate temperature variables to achieve accurate <i>SOC</i> estimation under variable-temperature conditions. The results indicate that creating a database that accommodates temperature variations and optimizing dual Kalman filtering through the cat swarm optimization algorithm significantly improves <i>SOC</i> estimation accuracy.
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spelling doaj-art-70a859ece74f4a35a2fda2f271a2a4ec2025-08-20T02:15:58ZengMDPI AGEnergies1996-10732025-04-01187186610.3390/en18071866Real-Time Estimation of the State of Charge of Lithium Batteries Under a Wide Temperature RangeDa Li0Lu Liu1Chuanxu Yue2Xiaojin Gao3Yunhai Zhu4Institute of Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250000, ChinaInstitute of Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250000, ChinaInstitute of Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250000, ChinaScience and Technology Service Platform, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250000, ChinaScience and Technology Service Platform, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250000, ChinaThe state of charge (<i>SOC</i>) of lithium-ion batteries is essential for their proper functioning and serves as the basis for estimating other parameters within the battery management system. To enhance the accuracy of <i>SOC</i> estimation in lithium-ion batteries, we propose a joint estimation method that integrates lithium-ion battery parameter identification and <i>SOC</i> assessment using cat swarm optimization dual Kalman filtering (CSO–DKF), which accounts for variable-temperature conditions. We adopt a second-order equivalent circuit model, utilizing the Kalman filtering (KF) algorithm as a parameter filter for dynamic parameter identification, while the extended Kalman filtering (EKF) algorithm acts as a state filter for real-time <i>SOC</i> estimation. These two filters operate alternately throughout the iterative process. Additionally, the cat swarm optimization (CSO) algorithm optimizes the noise covariance matrices of both filters, thereby enhancing the precision of parameter identification and <i>SOC</i> estimation. To support this algorithm, we establish an environmental temperature battery database and incorporate temperature variables to achieve accurate <i>SOC</i> estimation under variable-temperature conditions. The results indicate that creating a database that accommodates temperature variations and optimizing dual Kalman filtering through the cat swarm optimization algorithm significantly improves <i>SOC</i> estimation accuracy.https://www.mdpi.com/1996-1073/18/7/1866variable temperatureenvironmental temperature battery databasecat swarm optimization algorithmdual Kalman filtering<i>SOC</i> estimation
spellingShingle Da Li
Lu Liu
Chuanxu Yue
Xiaojin Gao
Yunhai Zhu
Real-Time Estimation of the State of Charge of Lithium Batteries Under a Wide Temperature Range
Energies
variable temperature
environmental temperature battery database
cat swarm optimization algorithm
dual Kalman filtering
<i>SOC</i> estimation
title Real-Time Estimation of the State of Charge of Lithium Batteries Under a Wide Temperature Range
title_full Real-Time Estimation of the State of Charge of Lithium Batteries Under a Wide Temperature Range
title_fullStr Real-Time Estimation of the State of Charge of Lithium Batteries Under a Wide Temperature Range
title_full_unstemmed Real-Time Estimation of the State of Charge of Lithium Batteries Under a Wide Temperature Range
title_short Real-Time Estimation of the State of Charge of Lithium Batteries Under a Wide Temperature Range
title_sort real time estimation of the state of charge of lithium batteries under a wide temperature range
topic variable temperature
environmental temperature battery database
cat swarm optimization algorithm
dual Kalman filtering
<i>SOC</i> estimation
url https://www.mdpi.com/1996-1073/18/7/1866
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