基于白鹭群优化高斯过程回归的锂电池SOH估计方法

doi:10.19799/j.cnki.2095-4239.2025.0021

储能科学与技术 ›› 2025, Vol. 14 ›› Issue (6): 2498-2511.doi: 10.19799/j.cnki.2095-4239.2025.0021

基于白鹭群优化高斯过程回归的锂电池SOH估计方法

巫春玲¹^,²(), 王立顶¹^,², 卢勇¹^,², 耿莉敏¹^,², 陈昊¹^,², 孟锦豪³

^1.长安大学能源与电气工程学院，陕西西安 710064
^2.交通新能源开发、应用与汽车节能技术陕西省重点实验室，陕西西安 710061
^3.西安交通大学电气工程学院，陕西西安 710049

收稿日期:2025-01-04 修回日期:2025-01-22 出版日期:2025-06-28 发布日期:2025-06-27
通讯作者: 巫春玲 E-mail:wuchl@chd.edu.cn
作者简介:巫春玲（1978—），女，博士，副教授，研究方向为储能锂离子电池管理系统研究、新型电力系统储能技术，E-mail：wuchl@chd.edu.cn。
基金资助:
国家重点研发计划项目(2021YFB2601300);陕西省重点研发计划(2022GY-193);陕西省教育厅服务地方专项科学研究计划项目(23JE021);陕西省创新能力支撑计划项目(2021TD-28)

Lithium-ion batteries SOH estimation based on gaussian processed regression optimized by egret swarm optimization

Chunling WU¹^,²(), Liding WANG¹^,², Yong LU¹^,², Limin GENG¹^,², Hao CHEN¹^,², Jinhao MENG³

^1.School of Energy and Electrical Engineering, Chang'an University, Xi'an 710064, Shaanxi, China
^2.Shaanxi Key Laboratory of Transportation New Energy Development, Application and Vehicle Energy Saving Technology, Xi'an 710061, Shaanxi, China
^3.School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, Shaanxi, China

Received:2025-01-04 Revised:2025-01-22 Online:2025-06-28 Published:2025-06-27
Contact: Chunling WU E-mail:wuchl@chd.edu.cn

摘要/Abstract

摘要：

锂离子电池健康状态估计直接影响锂电池系统的安全性与可靠性，是电池管理系统中的一项重要功能。针对现有数据驱动的SOH估计方法中存在的缺乏不确定性表达、训练数据与测试数据未完全解耦等问题，本工作提出了一种基于白鹭群优化与高斯过程回归相结合的SOH估计方法。首先，从同类电池的充电电压、电流及弛豫电压信息中提取与电池老化相关的健康特征，并通过Pearson相关分析法筛选出与电池容量相关性高的健康特征。随后，采用平方指数核函数的高斯过程回归模型进行SOH估计，采用白鹭群优化算法优化GPR模型中超参数。最后，选取同济大学数据集中的NCA和NCM两类电池数据进行实验，验证所提模型的准确性与鲁棒性。实验结果表明，所提方法能够有效提高SOH估计的精度与可靠性。对于所测电池类型中，SOH估计误差的最大RMSE和MAE分别为0.0028和0.22%，相较于传统的GPR模型，误差指标分别降低了58.82%和57.69%。此外，该方法还能够实现SOH区间精准估计，避免高估电池SOH造成的安全问题。

关键词: 锂电池, 健康状态, 白鹭群优化算法, 高斯过程回归, 区间估计

Abstract:

Accurate estimation of the state of health (SOH) of lithium-ion batteries is essential for ensuring the safety and reliability of battery systems and is a critical function of battery management systems. To address the limitations of existing data-driven SOH estimation methods—such as inadequate representation of uncertainty and insufficient decoupling of training and testing data—this study proposes a novel approach based on Gaussian process regression (GPR) optimized by the egret swarm optimization algorithm (ESOA). Health features related to battery aging are extracted from the charging voltage, current, and relaxation voltage data of similar batteries, and features with high correlation to capacity are selected using Pearson correlation analysis. A GPR model employing a squared exponential kernel is then used for SOH estimation, with its hyperparameters optimized via ESOA. The proposed method is validated using NCA and NCM battery datasets from Tongji University. Experimental results show that the method significantly improves estimation accuracy and robustness. For the tested batteries, the maximum root mean square error (RMSE) and mean absolute error (MAE) are 0.0028 and 0.22%, respectively, representing improvements of 58.82% and 57.69% over conventional GPR models. Additionally, the method enables SOH interval estimation, reducing the risk of safety hazards from overestimation.

Key words: lithium-ion battery, state of health, egret swarm optimization algorithm, Gaussian process regression, interval estimation

中图分类号:

TM 912

巫春玲, 王立顶, 卢勇, 耿莉敏, 陈昊, 孟锦豪. 基于白鹭群优化高斯过程回归的锂电池SOH估计方法[J]. 储能科学与技术, 2025, 14(6): 2498-2511.

Chunling WU, Liding WANG, Yong LU, Limin GENG, Hao CHEN, Jinhao MENG. Lithium-ion batteries SOH estimation based on gaussian processed regression optimized by egret swarm optimization[J]. Energy Storage Science and Technology, 2025, 14(6): 2498-2511.

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电池类型	NCA电池	NCM电池
电池类型	18650	18650
阳极材料	Graphite/Si	Graphite
阴极材料	Li_0.86(Ni_0.86Co_0.11Al_0.03)O₂ (NCA)	Li_0.84(Ni_0.83Co_0.11Mn_0.07)O₂ (NCM)
电解液	—	非水溶剂与LiPF₆
额定电压	—	3.60 V
截止电压	2.65~4.20 V	2.50~4.20 V
额定容量	3.5 Ah	3.5 Ah
电池质量	—	45.0 g

电池编号	特征参数
电池编号	HF1 (DCEVI)	HF2 (DCECI)	HF3 (voltage max)	HF4 (voltage drop)
NCA1	0.9982	0.9985	0.9680	0.9834
NCA2	0.9987	0.9996	0.9803	0.9904
NCA3	0.9968	0.9973	0.9862	0.9880
NCA4	0.9959	0.9990	0.9804	0.9909
NCM1	0.9956	0.9998	0.9932	0.9942
NCM2	0.9962	0.9982	0.9978	0.9978
NCM3	0.9928	0.9980	0.9934	0.9936
NCM4	0.9951	0.9991	0.9942	0.9941

电池编号	计算耗时/s
电池编号	GRU	LSTM	BP	PSO-BP	ESOA-BP	GPR	PSO-GPR	ESOA-GPR
NCA1	0.00999	0.01157	0.17290	0.00984	0.00994	0.01642	0.01437	0.01621
NCA2	0.01382	0.01072	0.10458	0.00705	0.00818	0.01977	0.01682	0.01388
NCA3	0.01272	0.01246	0.01999	0.00950	0.00726	0.00625	0.00639	0.00651
NCA4	0.01597	0.01735	0.01006	0.00804	0.009289	0.01873	0.02061	0.01897

电池编号	计算耗时/s
电池编号	GRU	LSTM	BP	PSO-BP	ESOA-BP	GPR	PSO-GPR	ESOA-GPR
NCM1	0.01371	0.01103	0.00963	0.00920	0.00890	0.00620	0.00810	0.00636
NCM2	0.01471	0.01500	0.00813	0.00684	0.00694	0.01364	0.01161	0.02107
NCM3	0.01046	0.01362	0.00867	0.00761	0.00737	0.01305	0.01221	0.01565
NCM4	0.01847	0.01233	0.00737	000732	0.00690	0.02433	0.02319	0.02668

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基于白鹭群优化高斯过程回归的锂电池SOH估计方法

Lithium-ion batteries SOH estimation based on gaussian processed regression optimized by egret swarm optimization

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