电源学报

基于分数阶和FOSVD-MIAUKF的锂离子电池SOC估计

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赵正正中国电源学会学生会员 , 范秋华 , 袁照凯

电源学报 | 新能源发电与储能 2026,24(8): 121-130

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电源学报 |新能源发电与储能 2026 , 24 (8) : 121 -130

基于分数阶和FOSVD-MIAUKF的锂离子电池SOC估计

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袁照凯（1998—　），男，硕士研究生。研究方向：电池管理系统及其关键技术。E-mail：15615402357@163.com。

赵正正中国电源学会学生会员, 范秋华, 袁照凯

作者信息

青岛大学电气工程学院，青岛　266071

通讯作者:

范秋华（1971—　），女，通信作者，硕士，教授。研究方向：非线性电路与系统，储能元件与系统。E-mail：qhf_hh@163.com。

作者简介:

赵正正（2001—　），女，中国电源学会学生会员，硕士研究生。研究方向：电池管理系统及其关键技术。E-mail：15830405509@163.com。

袁照凯（1998—　），男，硕士研究生。研究方向：电池管理系统及其关键技术。E-mail：15615402357@163.com。

SOC Estimation of Lithium-ion Battery Based on Fractional-order Model and FOSVD-MIAUKF

Zhengzheng ZHAO Student Member, CPSS, Qiuhua FAN, Zhaokai YUAN

Affiliations

College of Electrical Engineering, Qingdao University, Qingdao 266071, China

出版时间: 2026-08-30 doi: 10.13234/j.issn.2095-2805.2026.8.121

文章导航

摘要

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为了更准确地对电池的工作特性进行表征，以三星动力锂离子电池为研究对象，基于分数阶微积分理论建立二阶分数阶模型FOM（fractional-order model）。针对二阶FOM参数非线性、多极值的特点，采用自适应遗传算法进行参数辨识。在传统的无迹卡尔曼滤波UKF（unscented Kalman filter）算法基础上，提出了一种分数阶奇异值分解-多信息自适应无迹卡尔曼滤波FOSVD-MIAUKF（fractional-order singular value decomposition-multi-information adaptive unscented Kalman filter）算法。仿真结果表明，改进后的FOSVD-MIAUKF算法结合二阶FOM能够较好地对锂离子电池荷电状态SOC（state-of-charge）进行估算，在动态应力测试DST（dynamic stress test）、联邦城市驾驶循环FUDS（federal urban driving schedule）工况下的均方根误差均小于0.5%，验证了改进后的方法具有较好的适应性和较高的精度。

关键词

锂离子电池 / 分数阶微积分理论 / 二阶分数阶模型 / 奇异值分解 / 多信息自适应无迹卡尔曼滤波 / 荷电状态

Abstract

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To characterize the working characteristics of batteries more accurately, a second-order fractional-order model (FOM) is established based on the fractional-order calculus theory, with a Samsung power lithium-ion battery as the research object. Aimed at the nonlinear and multi-extremum characteristics of the second-order FOM parameters, an adaptive genetic algorithm is adopted for parameter identification. Based on the traditional unscented Kalman filter (UKF) algorithm, a fractional-order singular value decomposition-multi-information adaptive UKF (FOSVD-MIAUKF) algorithm is proposed. Simulation results show that the improved FOSVD-MIAUKF algorithm combined with second-order FOM can better estimate the state-of-charge (SOC) of lithium-ion battery. The root mean square errors under both the dynamic stress test (DST) and federal urban driving schedule (FUDS) conditions are less than 0.5%, which verifies that the improved method has better adaptability and higher accuracy.

Key words

Lithium-ion battery / fractional-order calculus theory / second-order fractional-order model (FOM) / singular value decomposition / multi-information adaptive unscented Kalman filter (MIAUKF) / state-of-charge (SOC)

引用本文

赵正正中国电源学会学生会员, 范秋华, 袁照凯. 基于分数阶和FOSVD-MIAUKF的锂离子电池SOC估计. 电源学报, 2026 , 24 (8) : 121 -130 . DOI: 10.13234/j.issn.2095-2805.2026.8.121

Zhengzheng ZHAO, Qiuhua FAN, Zhaokai YUAN. SOC Estimation of Lithium-ion Battery Based on Fractional-order Model and FOSVD-MIAUKF[J]. Journal of Power Supply, 2026 , 24 (8) : 121 -130 . DOI: 10.13234/j.issn.2095-2805.2026.8.121

基金

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国家自然科学基金资助项目(62273190)

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2026年第24卷第8期

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文章信息

doi: 10.13234/j.issn.2095-2805.2026.8.121

接收时间：2024-11-04
首发时间：2026-10-29
出版时间：2026-08-30

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出版历史

收稿日期：2024-11-04
修回日期：2025-01-03
录用日期：2025-02-05

基金

National Natural Science Foundation of China(62273190)

国家自然科学基金资助项目(62273190)

作者信息

青岛大学电气工程学院，青岛　266071

通讯作者:

范秋华（1971—　），女，通信作者，硕士，教授。研究方向：非线性电路与系统，储能元件与系统。E-mail：qhf_hh@163.com。

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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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