工程科学学报.第42卷.第6期：796-802.2020年6月 Chinese Journal of Engineering,Vol.42,No.6:796-802,June 2020 https://doi.org/10.13374/j.issn2095-9389.2019.07.03.003;http://cje.ustb.edu.cn 等效循环电池组剩余使用寿命预测 李练兵”，季亮)，祝亚尊)，王志江2)，嵇雷2) 1)河北工业大学人工智能与数据科学学院，天津3001302)风帆有限责任公司.保定071000 区通信作者.E-mai:1561013191@qq.com 摘要电动汽车以零污染、零排放等优点成为新能源汽车中最具有发展潜力的对象，锂离子电池作为其动力来源，科学准 确地预测其剩余使用寿命是决定电动汽车性能的重要因素.本文研究等效循环电池组在等效循环工况、不同循环次数时，锂 离子电池电压随着放电时间的变化曲线.通过分析不同循环次数下导函数在等效特征点处的斜率变化规律，建立锂离子电 池等效循环工况下的寿命退化曲线.选取NASA等效循环电池组和自测JZ等效循环电池组，将放电初期和放电后期曲线与 特定斜率直线交点作为等效循环寿命预测的等效特征点，根据这两组特征点分别建立退化模型Mii和Mlat.最后选取等效 循环电池组内的其他电池进行锂离子电池等效循环寿命预测的验证，通过锂离子电池测试数据集验证其预测精度较高，稳 定性较好，具有较强的应用价值. 关键词锂离子电池：等效循环电池组：等效特征点：剩余使用寿命：循环次数 分类号TM911.3 Investigation of RUL prediction of lithium-ion battery equivalent cycle battery pack LI Lian-bing,JI Liang,ZHU Ya-zun,WANG Zhi-jiang.JI Lei 1)School of Artificial Intelligence,Hebei University of Technology,Tianjin 300130,China 2)Fengfan Co.,Ltd.,Baoding 071000,China Corresponding author,E-mail:1561013191@qq.com ABSTRACT The depletion and environmental pollution associated with traditional fossil energy sources has generated great interest in the development of new energy.Among the kinds of new-energy batteries,lithium-ion batteries have the advantages of small size,high energy density,a long life cycle,zero emissions,and no pollution.These batteries are widely used in many industries and fields, including vehicles.Currently,assessments of the health status of lithium-ion batteries have become a hot research topic.The lithium-ion battery has complex electrochemical characteristics and its capacity tends to degrade with cyclic charges and discharges.When its capacity degrades to the failure threshold(usually 70%80%of rated capacity),the life of lithium ion battery is considered to have reached an end.Therefore,investigations to better predict the remaining useful life of a lithium-ion battery can help to improve system reliability and prevent accidents.Battery-system health evaluations have important research and application value.In this study,the voltage change curves of the lithium-ion battery were investigated with discharge time under equivalent cycle conditions and different cycle times.By analyzing the slope change rule of the derivative function at an equivalent characteristic point for different cycle times, the life degradation curves of the lithium-ion battery under equivalent cycle conditions were established.Using the NASA and self-test JZ equivalent cycle batteries,the intersection point of the specific-slope straight line and curve at early and late stages of discharge was taken as the equivalent feature points for predicting the equivalent cycle life.Based on these two groups of feature points,Mini and Mlat degradation models were established,respectively.To verify this method,other batteries in the equivalent-cycle battery pack were tested. The results of the test data set validate the prediction accuracy and stability,which has strong application value. KEY WORDS lithium ion battery;equivalent cycle battery pack;equivalent feature point;remaining useful life;cycles 收稿日期：2019-07-03 基金项目：河北省重点研发计划资助项目(20312102D.20314301D)等效循环电池组剩余使用寿命预测 李练兵1)，季    亮1) 苣，祝亚尊1)，王志江2)，嵇    雷2) 1) 河北工业大学人工智能与数据科学学院，天津 300130    2) 风帆有限责任公司，保定 071000 苣通信作者，E-mail: 1561013191@qq.com 摘    要    电动汽车以零污染、零排放等优点成为新能源汽车中最具有发展潜力的对象，锂离子电池作为其动力来源，科学准 确地预测其剩余使用寿命是决定电动汽车性能的重要因素. 本文研究等效循环电池组在等效循环工况、不同循环次数时，锂 离子电池电压随着放电时间的变化曲线. 通过分析不同循环次数下导函数在等效特征点处的斜率变化规律，建立锂离子电 池等效循环工况下的寿命退化曲线. 选取 NASA 等效循环电池组和自测 JZ 等效循环电池组，将放电初期和放电后期曲线与 特定斜率直线交点作为等效循环寿命预测的等效特征点，根据这两组特征点分别建立退化模型 Mini 和 Mlat. 最后选取等效 循环电池组内的其他电池进行锂离子电池等效循环寿命预测的验证. 通过锂离子电池测试数据集验证其预测精度较高，稳 定性较好，具有较强的应用价值. 关键词    锂离子电池；等效循环电池组；等效特征点；剩余使用寿命；循环次数 分类号    TM911.3 Investigation of RUL prediction of lithium-ion battery equivalent cycle battery pack LI Lian-bing1) ，JI Liang1) 苣 ，ZHU Ya-zun1) ，WANG Zhi-jiang2) ，JI Lei2) 1) School of Artificial Intelligence, Hebei University of Technology, Tianjin 300130, China 2) Fengfan Co., Ltd., Baoding 071000, China 苣 Corresponding author, E-mail: 1561013191@qq.com ABSTRACT    The depletion and environmental pollution associated with traditional fossil energy sources has generated great interest in the development of new energy. Among the kinds of new-energy batteries, lithium-ion batteries have the advantages of small size, high energy  density,  a  long  life  cycle,  zero  emissions,  and  no  pollution.  These  batteries  are  widely  used  in  many  industries  and  fields, including vehicles. Currently, assessments of the health status of lithium-ion batteries have become a hot research topic. The lithium-ion battery  has  complex  electrochemical  characteristics  and  its  capacity  tends  to  degrade  with  cyclic  charges  and  discharges.  When  its capacity  degrades  to  the  failure  threshold  (usually  70%–80% of  rated  capacity),  the  life  of  lithium  ion  battery  is  considered  to  have reached an end. Therefore, investigations to better predict the remaining useful life of a lithium-ion battery can help to improve system reliability  and  prevent  accidents.  Battery-system  health  evaluations  have  important  research  and  application  value.  In  this  study,  the voltage change curves of the lithium-ion battery were investigated with discharge time under equivalent cycle conditions and different cycle times. By analyzing the slope change rule of the derivative function at an equivalent characteristic point for different cycle times, the life degradation curves of the lithium-ion battery under equivalent cycle conditions were established. Using the NASA and self-test JZ equivalent cycle batteries, the intersection point of the specific-slope straight line and curve at early and late stages of discharge was taken as the equivalent feature points for predicting the equivalent cycle life. Based on these two groups of feature points, Mini and Mlat degradation models were established, respectively. To verify this method, other batteries in the equivalent-cycle battery pack were tested. The results of the test data set validate the prediction accuracy and stability, which has strong application value. KEY WORDS    lithium ion battery；equivalent cycle battery pack；equivalent feature point；remaining useful life；cycles 收稿日期: 2019−07−03 基金项目: 河北省重点研发计划资助项目（20312102D，20314301D） 工程科学学报，第 42 卷，第 6 期：796−802，2020 年 6 月 Chinese Journal of Engineering, Vol. 42, No. 6: 796−802, June 2020 https://doi.org/10.13374/j.issn2095-9389.2019.07.03.003; http://cje.ustb.edu.cn