电源学报

基于分数阶模型和FOMICKF-FOUKF算法的锂电池SOC估计

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宋杨皖豪中国电源学会学生会员 , 李昕

电源学报 | 新能源发电与储能 2026,24(5): 149-158

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电源学报 |新能源发电与储能 2026 , 24 (5) : 149 -158

基于分数阶模型和FOMICKF-FOUKF算法的锂电池SOC估计

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宋杨皖豪中国电源学会学生会员, 李昕

作者信息

安徽理工大学电气与信息工程学院，淮南　232001

通讯作者:

李昕（1981—　），女，通信作者，硕士，副教授。研究方向：BMS及图像处理。E-mail：brightgirl1981@126.com。

作者简介:

宋杨皖豪（1998—　），男，中国电源学会学生会员，硕士。研究方向：BMS。E-mail：1587443736@qq.com。

SOC Estimation of Lithium-ion Battery Based on Fractional Order Model and FOMICKF-FOUKF Algorithm

Yangwanhao SONG Student Member, CPSS, Xin LI

Affiliations

School of Electrical and Information Engineering, Anhui University of Science and Technology, Huainan 232001, China

出版时间: 2026-05-30 doi: 10.13234/j.issn.2095-2805.2026.5.149

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摘要

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针对离线参数辨识方法仅能辨识单一固定的参数而导致荷电状态SOC（state of charge）估计不够准确，以及传统卡尔曼滤波算法对不同温度适应性差的问题，提出了分数阶多新息容积卡尔曼滤波联合分数阶无迹卡尔曼滤波FOMICKF-FOUKF（fractional order multi-innovation cubature Kalman filter-fractional order unscented Kalman filter）算法估计锂电池SOC。算法采用多时间尺度方法，在宏观时间尺度下以FOUKF进行在线参数辨识，在微观时间尺度下用FOMICKF估计SOC。不同算法收敛能力不同，对多种算法进行收敛性对比实验。此外，在不同温度下，电池内部活性不同，要准确估计电池SOC较为困难，为了验证所提算法对不同温度的适应能力，分别在0、25和45 ℃下估计SOC。结果表明，FOMICKF-FOUKF双卡尔曼在线联合算法估计SOC精度高、收敛性好，对不同温度具有较好的适应性。

关键词

荷电状态估计 / 分数阶 / 多新息容积卡尔曼滤波 / 联合估计

Abstract

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Aiming at the problems that the offline parameter identification method can only identify a single fixed parameter which leads to insufficiently accurate state of charge (SOC) estimation, and that the traditional Kalman filtering algorithm is poorly adapted to different temperatures, a fractional-order multi-innovation cubature Kalman filtering combined with fractional-order unscented Kalman filtering (FOMICKF-FOUKF) algorithm is proposed to estimate the SOC of lithium-ion batteries. The algorithm adopts a multi-timescale approach to carry out the online parameter identification with the FOUKF in the macro time scale, and the SOC estimation with the FOMICKF in the micro time scale. The convergence ability of different algorithms varies, and in order to verify the convergence of the algorithms, the algorithms were subjected to the convergence comparison experiment. In addition, it is more difficult to accurately estimate battery SOC at different temperatures where the internal polarization reaction varies significantly. SOC estimation experiments were conducted at 0°C, 25°C and 45°C to verify the adaptability of the proposed algorithm to different temperatures. The results show that the FOMICKF-FOUKF dual Kalman online joint algorithm estimates the SOC with high accuracy and good convergence, and has good adaptability to different temperatures.

Key words

State of charge estimation / fractional order / multi-innovation cubature Kalman filter / joint estimation

引用本文

宋杨皖豪中国电源学会学生会员, 李昕. 基于分数阶模型和FOMICKF-FOUKF算法的锂电池SOC估计. 电源学报, 2026 , 24 (5) : 149 -158 . DOI: 10.13234/j.issn.2095-2805.2026.5.149

Yangwanhao SONG, Xin LI. SOC Estimation of Lithium-ion Battery Based on Fractional Order Model and FOMICKF-FOUKF Algorithm[J]. Journal of Power Supply, 2026 , 24 (5) : 149 -158 . DOI: 10.13234/j.issn.2095-2805.2026.5.149

基金

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安徽省高校自然科学基金资助项目(KJ2019A0106)
2020年安徽省教育厅资助项目(2020JYXM0460)

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2026年第24卷第5期

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文章信息

doi: 10.13234/j.issn.2095-2805.2026.5.149

接收时间：2024-01-17
首发时间：2026-10-29
出版时间：2026-05-30

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出版历史

收稿日期：2024-01-17
修回日期：2024-04-02
录用日期：2024-04-27

基金

Natural Science Foundation of Anhui Province Universities(KJ2019A0106)

安徽省高校自然科学基金资助项目(KJ2019A0106)

2020 Anhui Provincial Department of Education Project(2020JYXM0460)

2020年安徽省教育厅资助项目(2020JYXM0460)

作者信息

安徽理工大学电气与信息工程学院，淮南　232001

通讯作者:

李昕（1981—　），女，通信作者，硕士，副教授。研究方向：BMS及图像处理。E-mail：brightgirl1981@126.com。

参考文献

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https://castjournals.cast.org.cn/joweb/dyxb/CN/10.13234/j.issn.2095-2805.2026.5.149

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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

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