电源学报

一种高精度磷酸铁锂电池OCV-SOC曲线获取方法

PDF下载

林加顺 , 周娟中国电源学会会员 , 吴乃豪中国电源学会学生会员 , 杨晓全

电源学报 | 电池与储能 2025,23(6): 300-308

收起

电源学报 |电池与储能 2025 , 23 (6) : 300 -308

一种高精度磷酸铁锂电池OCV-SOC曲线获取方法

全屏

[Author(id=1321491293939806799, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, orderNo=0, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=ljs943790347@163.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1321491294032081489, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, authorId=1321491293939806799, language=EN, stringName=Jiashun LIN, firstName=Jiashun, middleName=null, lastName=LIN, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=School of Electrical Engineering, China University of Mining and Technology, Xuzhou 221008, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1321491294132744786, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, authorId=1321491293939806799, language=CN, stringName=林加顺, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=中国矿业大学电气工程学院，徐州　221008, bio={"content":"

林加顺（1998—　），男，硕士研究生。研究方向：锂离子电池建模及其荷电状态估算。E-mail：ljs943790347@163.com。

"}, bioImg=null, bioContent=

林加顺（1998—　），男，硕士研究生。研究方向：锂离子电池建模及其荷电状态估算。E-mail：ljs943790347@163.com。

, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1321491293855920715, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, xref=null, ext=[AuthorCompanyExt(id=1321491293864309324, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, companyId=1321491293855920715, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=School of Electrical Engineering, China University of Mining and Technology, Xuzhou 221008, China), AuthorCompanyExt(id=1321491293876892237, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, companyId=1321491293855920715, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=中国矿业大学电气工程学院，徐州　221008)])]), Author(id=1321491294191465044, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, orderNo=1, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=zhjcumt@126.com, emailSecond=null, emailThird=null, correspondingAuthor=1, authorType=1, ext={EN=AuthorExt(id=1321491294304711254, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, authorId=1321491294191465044, language=EN, stringName=Juan ZHOU, firstName=Juan, middleName=null, lastName=ZHOU, prefix=null, suffix=Member, CPSS, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=School of Electrical Engineering, China University of Mining and Technology, Xuzhou 221008, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1321491294392791639, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, authorId=1321491294191465044, language=CN, stringName=周娟中国电源学会会员, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=中国矿业大学电气工程学院，徐州　221008, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null)}, companyList=[AuthorCompany(id=1321491293855920715, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, xref=null, ext=[AuthorCompanyExt(id=1321491293864309324, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, companyId=1321491293855920715, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=School of Electrical Engineering, China University of Mining and Technology, Xuzhou 221008, China), AuthorCompanyExt(id=1321491293876892237, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, companyId=1321491293855920715, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=中国矿业大学电气工程学院，徐州　221008)])]), Author(id=1321491294464094809, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, orderNo=2, firstName=null, middleName=null, lastName=null, nameCn=null, orcid=null, stid=null, country=null, authorPic=null, dead=0, email=845585459@qq.com, emailSecond=null, emailThird=null, correspondingAuthor=0, authorType=1, ext={EN=AuthorExt(id=1321491294527009371, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, authorId=1321491294464094809, language=EN, stringName=Naihao WU, firstName=Naihao, middleName=null, lastName=WU, prefix=null, suffix=Student Member, CPSS, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=School of Electrical Engineering, China University of Mining and Technology, Xuzhou 221008, China, bio=null, bioImg=null, bioContent=null, aboutCorrespAuthor=null), CN=AuthorExt(id=1321491294585729628, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321491292593435206, authorId=1321491294464094809, language=CN, stringName=吴乃豪中国电源学会学生会员, firstName=null, middleName=null, lastName=null, prefix=null, suffix=null, authorComment=null, nameInitials=null, affiliation=null, department=null, xref=null, address=中国矿业大学电气工程学院，徐州　221008, bio={"content":"

吴乃豪（1999—　），男，中国电源学会学生会员，硕士研究生。研究方向：电池均衡。E-mail：845585459@qq.com。

"}, bioImg=null, bioContent=

吴乃豪（1999—　），男，中国电源学会学生会员，硕士研究生。研究方向：电池均衡。E-mail：845585459@qq.com。

杨晓全（1997—　），男，硕士研究生。研究方向：锂离子电池建模及其荷电状态估算。E-mail：1962598992@qq.com。

"}, bioImg=null, bioContent=

杨晓全（1997—　），男，硕士研究生。研究方向：锂离子电池建模及其荷电状态估算。E-mail：1962598992@qq.com。

林加顺, 周娟中国电源学会会员, 吴乃豪中国电源学会学生会员, 杨晓全

作者信息

中国矿业大学电气工程学院，徐州　221008

通讯作者:

周娟（1976—　），女，中国电源学会会员，通信作者，博士，教授。研究方向：电能质量控制技术，电池管理系统。E-mail：zhjcumt@126.com。

作者简介:

林加顺（1998—　），男，硕士研究生。研究方向：锂离子电池建模及其荷电状态估算。E-mail：ljs943790347@163.com。

吴乃豪（1999—　），男，中国电源学会学生会员，硕士研究生。研究方向：电池均衡。E-mail：845585459@qq.com。

杨晓全（1997—　），男，硕士研究生。研究方向：锂离子电池建模及其荷电状态估算。E-mail：1962598992@qq.com。

High-precision OCV-SOC Curve Acquisition Method for LiFeO₄ Battery

Jiashun LIN, Juan ZHOU Member, CPSS, Naihao WU Student Member, CPSS, Xiaoquan YANG

Affiliations

School of Electrical Engineering, China University of Mining and Technology, Xuzhou 221008, China

出版时间: 2025-10-30 doi: 10.13234/j.issn.2095-2805.2025.6.300

文章导航

摘要

收起

准确的开路电压特性OCV-SOC（open-circuit voltage-state of charge）曲线是保证锂离子电池建模精度的基础。静置法与涓流法在获取磷酸铁锂电池OCV-SOC曲线时分别存在无法描述非静置点OCV特性与极化效应影响的问题，为此，基于对磷酸铁锂电池特性的分析，结合静置法与涓流法提出1种高精度磷酸铁锂电池OCV-SOC曲线获取方法。该方法以分段形式拟合的涓流放电曲线为优化对象，基于静置法测量数据与一阶RC等效电路模型设计约束条件，采用差分进化方法寻优获取OCV-SOC优化曲线。实验结果表明，OCV-SOC优化曲线能够精确模拟磷酸铁锂电池的OCV特性。相比静置法获取的OCV-SOC曲线，基于OCV-SOC优化曲线进行的电池建模与SOC估算精度更高，其模型精度提升41.8%，SOC估算精度提升58.3%。

关键词

磷酸铁锂电池 / 开路电压 / 分段拟合 / 差分进化

Abstract

收起

The accurate open-circuit voltage-state of charge (OCV-SOC) curve is a basis for ensuring the modeling accuracy of lithium-ion battery. The OCV-SOC curves of LiFeO₄ battery obtained by a low-current OCV test cannot describe the OCV characteristics at a non-testing point, while those obtained by an incremental OCV test are interfered by the polarization effect. Therefore, based on the analysis of the characteristics of LiFeO₄ battery, a high-precision OCV-SOC curve acquisition method for LiFeO₄ battery is proposed by combining the low-current OCV test and incremental OCV test. This method takes the incremental discharge curve which is fitted in piecewise form as its optimization object, designs constraints based on the low-current OCV test data and first-order RC equivalent circuit model, and uses the differential evolution method to acquire the OCV-SOC optimization curve. Experimental results show that the OCV-SOC optimization curve can accurately simulate the OCV characteristics of LiFeO₄ battery. Compared with the OCV-SOC curve obtained by the low-current OCV test, the battery modeling and SOC estimation based on the OCV-SOC optimization curve has a higher accuracy, with the model accuracy increasing by 41.8% and SOC estimation accuracy increasing by 58.3%.

Key words

LiFeO₄ battery / open-circuit voltage (OCV) / piecewise fitting / differential evolution

引用本文

林加顺, 周娟中国电源学会会员, 吴乃豪中国电源学会学生会员, 杨晓全. 一种高精度磷酸铁锂电池OCV-SOC曲线获取方法. 电源学报, 2025 , 23 (6) : 300 -308 . DOI: 10.13234/j.issn.2095-2805.2025.6.300

Jiashun LIN, Juan ZHOU, Naihao WU, Xiaoquan YANG. High-precision OCV-SOC Curve Acquisition Method for LiFeO₄ Battery[J]. Journal of Power Supply, 2025 , 23 (6) : 300 -308 . DOI: 10.13234/j.issn.2095-2805.2025.6.300

基金

收起

江苏省研究生科研与实践创新计划资助项目(KYCX22_2539)

参考文献

收起

文献

收起

参考文献引证文献

排序方式：

[1]

明彤彤, 赵晶, 王晓磊, 等. 基于改进LSTM的脉冲大倍率工况下锂电池SOC估计[J]. 电力系统保护与控制, 2021, 49(8): 144-150. Ming Tongtong, Zhao Jing, Wang Xiaolei, et al. SOC estimation of a lithium battery under high pulse rate condition based on improved LSTM[J]. Power System Protection and Control, 2021, 49(8): 144-150. (in Chinese)

[2]

成燕, 郑林弘, 刘江. 基于模态分解和时间序列的锂电池健康状态估计[J]. 电源学报. 2025, 23(5): 241-250. Cheng Yan, Zheng Linhong, Liu Jiang. Estimation of state-of-health of lithium-ion batteries based on modal decomposition and time series[J]. Journal of Power Supply. 2025, 23(5): 241-250. (in Chinese)

[3]

吴健, 尹泽, 李豪, 等. 基于分数阶理论的锂离子电池高频等效电路模型[J]. 电工技术学报, 2021, 36(18): 3902-3910. Wu Jian, Yin Ze, Li Hao, et al. High-frequency equivalent circuit model of lithium-ion battery based on fractional order theory[J]. Transactions of China Electrotechnical Society, 2021, 36(18): 3902-3910. (in Chinese)

[4]

马锐, 贾学翠, 张永康, 等. 基于三次样条插值法的储能锂电池建模与参数辨识[J]. 电源学报, 2023, 21(1): 133-141. Ma Rui, Jia Xuecui, Zhang Yongkang, et al. Modeling and parameter identification of Li-ion battery for energy storage based on cubic spline interpolation[J]. Journal of Power Supply, 2023, 21(1): 133-141. (in Chinese)

[5]

Zhang Ruifeng, Xia Bizhong, Li Baohua, et al. A study on the open circuit voltage and state of charge characterization of high capacity lithium-ion battery under different temperature[J]. Energies, 2018, 11(9): 2408.

[6]

Ren Zhong, Du Changqing, Wu Zhongyi, et al. A comparative study of the influence of different open circuit voltage tests on model-based state of charge estimation for lithium-ion batteries[J]. International Journal of Energy Research, 2021, 45(9): 13692-13711.

[7]

Wei Zhongbao, Zou Changfu, Leng Feng, et al. Online model identification and state-of-charge estimate for lithium-ion battery with a recursive total least squares-based observer[J]. IEEE Transactions on Industrial Electronics, 2018, 65(2): 1336-1346.

[8]

Lin Cheng, Yu Quanqing, Xiong Rui, et al. A study on the impact of open circuit voltage tests on state of charge estimation for lithium-ion batteries[J]. Applied Energy, 2017, 205: 892-902.

[9]

陈嵩, 康鑫, 朱志贤, 等. 考虑迟滞效应的电池极化电压误差修正方法[J]. 电网技术, 2020, 44(1): 316-322. Chen Song, Kang Xin, Zhu Zhixian, et al. Polarization voltage error correction considering battery's hysteresis effect[J]. Power System Technology, 2020, 44(1): 316-322. (in Chinese)

[10]

来鑫, 李云飞, 郑岳久, 等. 基于SOC-OCV优化曲线与EKF的锂离子电池荷电状态全局估计[J]. 汽车工程, 2021, 43(1): 19-26. Lai Xin, Li Yunfei, Zheng Yuejiu, et al. An overall estimation of state-of-charge based on SOC-OCV optimization curve and EKF for lithium-ion battery[J]. Automotive Engineering, 2021, 43(1): 19-26. (in Chinese)

[11]

郭宝甫, 张鹏, 王卫星, 等. 基于OCV-SOC曲线簇的磷酸铁锂电池SOC估算研究[J]. 电源技术, 2019, 43(7): 1125-1128, 1139. Guo Baofu, Zhang Peng, Wang Weixing, et al. Research on SOC estimation of LiFePO₄ battery based on OCV-SOC curve cluster[J]. Chinese Journal of Power Sources, 2019, 43(7): 1125-1128, 1139. (in Chinese)

[12]

Yu Quanqing, Wan Changjiang, Li Junfu, et al. An open circuit voltage model fusion method for state of charge estimation of lithium-ion batteries[J]. Energies, 2021, 14(7): 1797.

[13]

李建林, 李雅欣, 黄碧斌, 等. 退役动力电池一致性评估及均衡策略研究[J]. 电力系统保护与控制, 2021, 49(12): 1-7. Li Jianlin, Li Yaxin, Huang Bibin, et al. Research on consistency evaluation and control strategy of a retired power battery[J]. Power System Protection and Control, 2021, 49(12): 1-7. (in Chinese)

[14]

谷苗, 夏超英, 田聪颖. 基于综合型卡尔曼滤波的锂离子电池荷电状态估算[J]. 电工技术学报, 2019, 34(2): 419-426. Gu Miao, Xia Chaoying, Tian Congying. Li-ion battery state of charge estimation based on comprehensive Kalman filter[J]. Transactions of China Electrotechnical Society, 2019, 34(2): 419-426. (in Chinese)

[15]

程从智, 徐晨, 戴珂, 等. MMC-BESS电池荷电状态三级均衡控制策略[J]. 电力系统保护与控制, 2021, 49(15): 100-108. Cheng Congzhi, Xu Chen, Dai Ke, et al. Three-level balancing control for battery state-of-charge based on MMC-BESS[J]. Power System Protection and Control, 2021, 49(15): 100-108. (in Chinese)

[16]

姚芳, 张楠, 黄凯. 锂离子电池状态估算与寿命预测综述[J]. 电源学报, 2020, 18(3): 175-183. Yao Fang, Zhang Nan, Huang Kai. Review of state estimation and life prediction for lithium-ion batteries[J]. Journal of Power Supply, 2020, 18(3): 175-183. (in Chinese)

[17]

王烁, 谷正气, 韩征彤, 等. 基于改进离散差分进化算法的桁架优化[J]. 计算机工程, 2021, 47(1): 275-283. Wang Shuo, Gu Zhengqi, Han Zhengtong, et al. Truss optimization based on improved discrete differential evolution algorithm[J]. Computer Engineering, 2021, 47(1): 275-283. (in Chinese)

[18]

叶年辉, 龙腾, 武宇飞, 等. 基于Kriging代理模型的约束差分进化算法[J]. 航空学报, 2021, 42(6): 324580. Ye Nianhui, Long Teng, Wu Yufei, et al. Kriging-assisted constrained differential evolution algorithm[J]. Acta Aeronautica et Astronautica Sinica, 2021, 42(6): 324580. (in Chinese)

[19]

Xiong Rui, Yu Quanqing, Wang Leyi, et al. A novel method to obtain the open circuit voltage for the state of charge of lithium-ion batteries in electric vehicles by using H infinity filter[J]. Applied Energy, 2017, 207: 346-353.

[20]

穆尔. MATLAB实用教程[M]. 高会生, 刘童娜, 李聪聪, 译. 北京: 电子工业出版社, 2010. Moore H. MATLAB for Engineers[M]. Gao Huisheng, Liu Tongna, Li Congcong, trans. Beijing: Publishing House of Electronics Industry, 2010. (in Chinese)

[21]

周娟, 化毅恒, 刘凯, 等. 一种高精度锂离子电池建模方案研究[J]. 中国电机工程学报, 2019, 39(21): 6394-6403. Zhou Juan, Hua Yiheng, Liu Kai, et al. Research on a high-precision modeling scheme for lithium-ion battery[J]. Proceedings of the CSEE, 2019, 39(21): 6394-6403. (in Chinese)

[22]

巫春玲, 胡雯博, 孟锦豪, 等. 基于最大相关熵扩展卡尔曼滤波算法的锂离子电池荷电状态估计[J]. 电工技术学报, 2021, 36(24): 5165-5175. Wu Chunling, Hu Wenbo, Meng Jinhao, et al. State of charge estimation of lithium-ion batteries based on maximum correlation-entropy criterion extended Kalman filtering algorithm[J]. Transactions of China Electrotechnical Society, 2021, 36(24): 5165-5175. (in Chinese)

2025年第23卷第6期

PDF下载

引用本文

BibTeX

文章信息

doi: 10.13234/j.issn.2095-2805.2025.6.300

接收时间：2022-11-02
首发时间：2026-10-26
出版时间：2025-10-30

补充材料

相关文章

文章信息

作者

出版历史

收稿日期：2022-11-02
修回日期：2023-02-13
录用日期：2023-03-07

基金

Graduate Research & Practice Innovation Program of Jiangsu Province(KYCX22_2539)

江苏省研究生科研与实践创新计划资助项目(KYCX22_2539)

作者信息

中国矿业大学电气工程学院，徐州　221008

通讯作者:

周娟（1976—　），女，中国电源学会会员，通信作者，博士，教授。研究方向：电能质量控制技术，电池管理系统。E-mail：zhjcumt@126.com。

参考文献

分享链接

https://castjournals.cast.org.cn/joweb/dyxb/CN/10.13234/j.issn.2095-2805.2025.6.300

分享至

全文二维码

扫描看全文

引用本文

BibTeX

本文的引用情况

2种不同金属材料的力学参数

科 Family	属数 Number of genus	种数 Number of species	占总种数比例 Percentage of total species (%)	属 Genus	种数 Number of species	占总种数比例 Percentage of total species (%)
鹅膏菌科Amanitaceae	2	11	5.26	鹅膏菌属 Amanita	10	4.78
小菇科 Mycenaceae	2	12	5.74	丝盖伞属 Inocybe	5	2.39
多孔菌科 Polyporaceae	8	14	6.70	蜡蘑属 Laccaria	5	2.39
红菇科 Russulaceae	3	23	11.00	小皮伞属 Marasmius	6	2.87
				小菇属 Mycena	11	5.26
				光柄菇属 Pluteus	5	2.39
				红菇属 Russula	17	8.13
				栓菌属 Trametes	5	2.39

关闭全屏

BibTeX
EndNote
RefWorks
TxT