Article(id=1321481983188910852, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1321481963769287353, articleNumber=null, orderNo=null, doi=10.13234/j.issn.2095-2805.2025.3.363, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1650211200000, receivedDateStr=2022-04-18, revisedDate=1663430400000, revisedDateStr=2022-09-18, acceptedDate=1664208000000, acceptedDateStr=2022-09-27, onlineDate=1792995456740, onlineDateStr=2026-10-26, pubDate=1748534400000, pubDateStr=2025-05-30, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1792995456740, onlineIssueDateStr=2026-10-26, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1792995456740, creator=13701087609, updateTime=1792995456740, updator=13701087609, issue=Issue{id=1321481963769287353, tenantId=1146029695717560320, journalId=1146031654075715584, year='2025', volume='23', issue='3', pageStart='1', pageEnd='372', issueExtLink='null', onlineDate='null', pubDate='1748534400000', pubDateStr='2025-05-30', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1792995452109, creator='13701087609', updateTime=1792995578032, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1321482491983147168, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1321481963769287353, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1321482491983147169, tenantId=1146029695717560320, journalId=1146031654075715584, issueId=1321481963769287353, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=363, endPage=372, ext={EN=ArticleExt(id=1321481983566398213, articleId=1321481983188910852, tenantId=1146029695717560320, journalId=1146031654075715584, language=EN, title=State-of-charge Estimation Based on BP-Multi-timescale UKF Optimization Algorithm, columnId=1152281491788100462, journalTitle=Journal of Power Supply, columnName=Battery and Energy Storage, runingTitle=null, highlight=null, articleAbstract=

Aimed at the problem that the state-of-charge (SOC) of batteries estimated by a combination algorithm is not ideal when there exits deviation from the initial value, a BP-multi-timescale unscented Kalman filter (UKF) optimization algorithm is proposed in this paper, which applies the multi-timescale theory to the combination algorithm. First, the multi-timescale UKF is used to preliminarily estimate the SOC value. Then, a BP model is constructed to train the data generated by the filtering algorithm, and the self-learning and adaptive capability of the BP algorithm is used to compensate and further reduce the error. The multi-timescale extended Kalman filter (EKF) modeling can not only reduce the SOC estimation error caused by changes in parameters, but also provide reliable data for error compensation, thus improving the model’s generalization capability and reducing the data dependence by the data-driven part. Simulation results show that the proposed algorithm depends on less data, and it outperforms other algorithms in terms of estimation accuracy, generalization capability and robustness. The root mean square error and mean absolute error are less than 1%, and the maximum absolute error is about 1%.

, authors=Junqi BAI^{1, 2}, Yanhua XIAN^{1, 2}, authorsList=Junqi BAI, Yanhua XIAN, authorCompany=null, correspAuthors=Yanhua XIAN, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1321481983977440008, articleId=1321481983188910852, tenantId=1146029695717560320, journalId=1146031654075715584, language=CN, title=基于BP-多时间尺度UKF优化算法的SOC估计, columnId=1149830274575463188, journalTitle=电源学报, columnName=电池与储能, runingTitle=null, highlight=null, articleAbstract=

针对组合算法在初值标定存在偏差时，荷电状态SOC（state-of-charge）估计效果不理想的问题，提出了一种基于BP-多时间尺度UKF优化算法的SOC预测方法。该方法将多时间尺度理论应用到组合算法中，首先，利用多时间尺度无迹卡尔曼滤波器UKF（unscented Kalman filter）初步得到SOC。其次，构建BP模型对滤波算法产生的数据进行训练，并利用BP算法良好的自学习和适应能力进行误差补偿，进一步降低误差。所提算法通过多时间尺度扩展卡尔曼滤波器EKF（extended Kalman filter）建模，不仅在一定程度上降低了参数变化引起的SOC估计误差，同时也为误差补偿提供了可靠数据，提高了模型的泛化能力，从而降低了数据驱动部分对数据的依赖程度。仿真结果表明，该算法对数据量依赖小且在估计精度、泛化能力和鲁棒性方面均表现优异，其均方根误差与平均绝对误差小于1%，最大绝对误差为1%左右。

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白俊琦（1997—　），男，硕士研究生，中国电源学会会员。研究方向：锂电池荷电及健康状态预测。E-mail：junqibaiwy@163.com。

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白俊琦（1997—　），男，硕士研究生，中国电源学会会员。研究方向：锂电池荷电及健康状态预测。E-mail：junqibaiwy@163.com。

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Yu Yunjun, Chen Xin, Wan Xiaofeng. Reviewer of estimating the state of battery charge for electric vehicle[J]. Journal of Power Supply, 2014, 12(3): 95-102. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1321481987282551593, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[2], rfOrder=1, authorNames=null, journalName=null, refType=null, unstructuredReference=邓哲, 黄震宇, 刘磊, 等. 超声技术在锂离子电池表征中的应用[J]. 储能科学与技术, 2019, 8(6): 1033-1039. Deng Zhe, Huang Zhenyu, Liu Lei, et al. Applications of ultrasound technique in characterization of lithium-ion batteries[J]. Energy Storage Science and Technology, 2019, 8(6): 1033-1039. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1321481987349660458, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[3], rfOrder=2, authorNames=null, journalName=null, refType=null, unstructuredReference=罗勇, 祁朋伟, 黄欢, 等. 基于容量修正的安时积分SOC估算方法研究[J]. 汽车工程, 2020, 42(5): 681-687. Luo Yong, Qi Pengwei, Huang Huan, et al. Study on battery SOC estimation by ampere-hour integral method with capacity correction[J]. Automotive Engineering, 2020, 42(5): 681-687. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1321481987416769323, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[4], rfOrder=3, authorNames=null, journalName=null, refType=null, unstructuredReference=李建林, 肖珩. 锂离子电池建模现状综述[J]. 储能科学与技术, 2022, 11(2): 697-703. Li Jianlin, Xiao Heng. Review on modeling of lithiumion battery[J]. Energy Storage Science and Technology, 2022, 11(2): 697-703. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1321481987710370604, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[5], rfOrder=4, authorNames=null, journalName=null, refType=null, unstructuredReference=Xu Zhicheng, Wang Jun, Fan Qi, et al. Improving the state of charge estimation of reused lithium-ion batteries by abating hysteresis using machine learning technique[J]. Journal of Energy Storage, 2020, 32: 101678., articleTitle=null, refAbstract=null), Reference(id=1321481987785868077, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[6], rfOrder=5, authorNames=null, journalName=null, refType=null, unstructuredReference=Ali O, Ishak M K, Ahmed A B, et al. On-line WSN SoC estimation using Gaussian process regression: an adaptive machine learning approach[J]. Alexandria Engineering Journal, 2022, 61(12): 9831-9848., articleTitle=null, refAbstract=null), Reference(id=1321481987882337070, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[7], rfOrder=6, authorNames=null, journalName=null, refType=null, unstructuredReference=Dai Haifeng, Xu Tianjiao, Zhu Letao, et al. Adaptive model parameter identification for large capacity Li-ion batteries on separated time scales[J]. Applied Energy, 2016, 184: 119-131., articleTitle=null, refAbstract=null), Reference(id=1321481988129801007, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[8], rfOrder=7, authorNames=null, journalName=null, refType=null, unstructuredReference=Xiong Rui, Sun Fengchun, Chen Zheng, et al. A data-driven multi-scale extended Kalman filtering based parameter and state estimation approach of lithium-ion polymer battery in electric vehicles[J]. Applied Energy, 2014, 113: 463-476., articleTitle=null, refAbstract=null), Reference(id=1321481988209492784, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[9], rfOrder=8, authorNames=null, journalName=null, refType=null, unstructuredReference=Wang Qiuxia, Wu Peizhou, Lian Jialing. SOC estimation algorithm of power lithium battery based on AFSA-BP neural network[J]. The Journal of Engineering, 2020, 2020(13): 535-539., articleTitle=null, refAbstract=null), Reference(id=1321481988280795953, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[10], rfOrder=9, authorNames=null, journalName=null, refType=null, unstructuredReference=Meng Jinhao, Luo Guangzhao, Gao Fei. Lithium polymer battery state-of-charge estimation based on adaptive unscented Kalman filter and support vector machine[J]. IEEE Transactions on Power Electronics, 2016, 31(3): 2226-2238., articleTitle=null, refAbstract=null), Reference(id=1321481988356293426, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[11], rfOrder=10, authorNames=null, journalName=null, refType=null, unstructuredReference=Shin D, Yoon B, Yoo S. Compensation method for estimating the state of charge of Li-polymer batteries using multiple long short-term memory networks based on the extended Kalman filter[J]. Energies, 2021, 14(2): 349., articleTitle=null, refAbstract=null), Reference(id=1321481988423402291, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[12], rfOrder=11, authorNames=null, journalName=null, refType=null, unstructuredReference=Zhou Wenlu, Zheng Yanping, Pan Zhengjun, et al. Review on the battery model and SOC estimation method[J]. Processes, 2021, 9(9): 1685., articleTitle=null, refAbstract=null), Reference(id=1321481988482122548, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[13], rfOrder=12, authorNames=null, journalName=null, refType=null, unstructuredReference=孔祥创, 赵万忠, 王春燕. 基于BP-EKF算法的锂电池SOC联合估计[J]. 汽车工程, 2017, 39(6): 648-652. Kong Xiangchuang, Zhao Wanzhong, Wang Chunyan. Co-estimation of lithium battery SOC based on BP-EKF algorithm[J]. Automotive Engineering, 2017, 39(6): 648-652. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1321481988578591541, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[14], rfOrder=13, authorNames=null, journalName=null, refType=null, unstructuredReference=徐艳民. 基于BP-EKF算法的电池SOC估计[J]. 汽车技术, 2018(2): 19-23. Xu Yanmin. Estimation of SOC of battery based on BP-EKF algorithm[J]. Automobile Technology, 2018(2): 19-23. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1321481988666671926, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[15], rfOrder=14, authorNames=null, journalName=null, refType=null, unstructuredReference=刘兴涛, 李坤, 武骥, 等. 基于EKF-SVM算法的动力电池SOC估计[J]. 汽车工程, 2020, 42(11): 1522-1528, 1544. Liu Xingtao, Li Kun, Wu Ji, et al. State of charge estimation for traction battery based on EKF-SVM algorithm[J]. Automotive Engineering, 2020, 42(11): 1522-1528, 1544. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1321481988742169399, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[16], rfOrder=15, authorNames=null, journalName=null, refType=null, unstructuredReference=李坤. 基于数据驱动与滤波算法融合的锂离子电池SOC估计方法研究[D]. 合肥: 合肥工业大学, 2021. Li Kun. Research on SOC estimation method of lithiumion battery based on data-driven and filtering algorithm fusion[D]. Hefei: Hefei University of Technology, 2021. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1321481988817666872, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[17], rfOrder=16, authorNames=null, journalName=null, refType=null, unstructuredReference=贾先屹, 王顺利, 曹文, 等. 基于二阶RC等效电路和SR-DUKF算法的锂电池SOC估算研究[J]. 电源学报, 2024, 22(4): 236-242. Jia Xianyi, Wang Shunli, Cao Wen, et al. Research on estimation of lithium battery SOC based on second-order RC equivalent circuit and SR-DUKF algorithm[J]. Journal of Power Supply, 2024, 22(4): 236-242. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1321481988914135865, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[18], rfOrder=17, authorNames=null, journalName=null, refType=null, unstructuredReference=傅军栋, 陈浩杰, 孙翔, 等. 基于EKF-Markov的UPS荷电状态预测与健康管理系统[J]. 电源学报, 2024, 22(6): 225-233. Fu Jundong, Chen Haojie, Sun Xiang, et al. SOC prediction and health management system of UPS based on EKF-Markov[J]. Journal of Power Supply, 2024, 22(6): 225-233. (in Chinese), articleTitle=null, refAbstract=null), Reference(id=1321481989006410554, tenantId=1146029695717560320, journalId=1146031654075715584, articleId=1321481983188910852, doi=null, pmid=null, pmcid=null, year=null, volume=null, issue=null, pageStart=null, pageEnd=null, url=null, language=null, rfNumber=[19], rfOrder=18, authorNames=null, journalName=null, refType=null, unstructuredReference=贠祥, 张鑫, 王超, 等. 基于联合参数辨识的粒子群优化扩展粒子滤波的锂电池荷电状态估计[J]. 电工技术学报, 2024, 39(2): 595-606. Yun Xiang, Zhang Xin, Wang Chao, et al. State of charge estimation of Li-ion battery using particle swarm optimization extended Kalman particle filter based on joint parameter identification[J]. Transactions of China Electrotechnical Society, 2024, 39(2): 595-606. 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