IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v405y2026ics0306261925019695.html

State of power prediction considering cell inconsistency for a series-parallel battery pack based on adaptive SRUKF and double-neural network

Author

Listed:
  • Peng, Simin
  • Chen, Shengdong
  • Zhang, Xuexia
  • Liu, Jian
  • Chen, Chong
  • Kan, Jiarong
  • Yu, Quanqing

Abstract

Accurate prediction of the state of power (SOP) for lithium-ion batteries is critical in electric vehicles, where state of charge (SOC) serves as a key constraint. Increasing battery cell count and inherent inconsistencies raise predicted SOP deviation despite accurate SOC. In this study, a SOP prediction method for a series-parallel battery pack based on adaptive square root unscented Kalman filter (ASRUKF) and double neural network is developed. First, cell inconsistency is quantified using weighted cosine similarity, and the cell with the largest coefficient in each branch is selected to establish a pack mean model. Second, since noise interference such as battery measurement noises can cause instability in SOP prediction, an ASRUKF with variable forgetting factor is developed to improve the system's noise resistance. Finally, to describe the influence of cell inconsistency on the SOP deviation and capture the power characteristics in different stages, a double-neural network model containing radial basis function and gated recurrent unit is designed. Moreover, an enhanced beluga whale optimization algorithm is presented to tune the hyperparameters for the network model. The results show the developed SOP prediction method has a maximum error below 0.32 W across time scales, while simultaneously reducing the runtime cost by at least 32.2 %.

Suggested Citation

  • Peng, Simin & Chen, Shengdong & Zhang, Xuexia & Liu, Jian & Chen, Chong & Kan, Jiarong & Yu, Quanqing, 2026. "State of power prediction considering cell inconsistency for a series-parallel battery pack based on adaptive SRUKF and double-neural network," Applied Energy, Elsevier, vol. 405(C).
  • Handle: RePEc:eee:appene:v:405:y:2026:i:c:s0306261925019695
    DOI: 10.1016/j.apenergy.2025.127239
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261925019695
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2025.127239?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Peng, Simin & Chen, Shengdong & Liu, Yong & Yu, Quanqing & Kan, Jiarong & Li, Rui, 2025. "State of power prediction joint fisher optimal segmentation and PO-BP neural network for a parallel battery pack considering cell inconsistency," Applied Energy, Elsevier, vol. 381(C).
    2. Peng, Simin & Zhu, Junchao & Wu, Tiezhou & Tang, Aihua & Kan, Jiarong & Pecht, Michael, 2024. "SOH early prediction of lithium-ion batteries based on voltage interval selection and features fusion," Energy, Elsevier, vol. 308(C).
    3. Zhang, Xu & Wang, Yujie & Wu, Ji & Chen, Zonghai, 2018. "A novel method for lithium-ion battery state of energy and state of power estimation based on multi-time-scale filter," Applied Energy, Elsevier, vol. 216(C), pages 442-451.
    4. Peng, Simin & Miao, Yifan & Xiong, Rui & Bai, Jiawei & Cheng, Mengzeng & Pecht, Michael, 2024. "State of charge estimation for a parallel battery pack jointly by fuzzy-PI model regulator and adaptive unscented Kalman filter," Applied Energy, Elsevier, vol. 360(C).
    5. Shu, Xing & Li, Guang & Shen, Jiangwei & Lei, Zhenzhen & Chen, Zheng & Liu, Yonggang, 2020. "An adaptive multi-state estimation algorithm for lithium-ion batteries incorporating temperature compensation," Energy, Elsevier, vol. 207(C).
    6. Peng, Simin & Zhang, Daohan & Dai, Guohong & Wang, Lin & Jiang, Yuxia & Zhou, Feng, 2025. "State of charge estimation for LiFePO4 batteries joint by PID observer and improved EKF in various OCV ranges," Applied Energy, Elsevier, vol. 377(PA).
    7. Zhang, Jie & Xiao, Bo & Niu, Geng & Xie, Xuanzhi & Wu, Saixiang, 2024. "Joint estimation of state-of-charge and state-of-power for hybrid supercapacitors using fractional-order adaptive unscented Kalman filter," Energy, Elsevier, vol. 294(C).
    8. Guo, Ruohan & Shen, Weixiang, 2022. "A data-model fusion method for online state of power estimation of lithium-ion batteries at high discharge rate in electric vehicles," Energy, Elsevier, vol. 254(PA).
    9. Zhang, Yujie & Liu, Baicheng & Zhang, Hongguang & Kuang, Rao & Xu, Yonghong & Zhang, Jian & Yang, Fubin & Wang, Shuo, 2024. "Joint estimation of SOC and peak power capability for series reused battery pack based on screening process method," Energy, Elsevier, vol. 313(C).
    10. Yu, Quanqing & Nie, Yuwei & Peng, Simin & Miao, Yifan & Zhai, Chengzhi & Zhang, Runfeng & Han, Jinsong & Zhao, Shuo & Pecht, Michael, 2023. "Evaluation of the safety standards system of power batteries for electric vehicles in China," Applied Energy, Elsevier, vol. 349(C).
    11. Peng, Simin & Wang, Yujian & Tang, Aihua & Jiang, Yuxia & Kan, Jiarong & Pecht, Michael, 2025. "State of health estimation joint improved grey wolf optimization algorithm and LSTM using partial discharging health features for lithium-ion batteries," Energy, Elsevier, vol. 315(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Peng, Simin & Chen, Shengdong & Liu, Yong & Yu, Quanqing & Kan, Jiarong & Li, Rui, 2025. "State of power prediction joint fisher optimal segmentation and PO-BP neural network for a parallel battery pack considering cell inconsistency," Applied Energy, Elsevier, vol. 381(C).
    2. Peng, Simin & Wang, Yujian & Tang, Aihua & Jiang, Yuxia & Kan, Jiarong & Pecht, Michael, 2025. "State of health estimation joint improved grey wolf optimization algorithm and LSTM using partial discharging health features for lithium-ion batteries," Energy, Elsevier, vol. 315(C).
    3. Li, Yang & Gao, Guoqiang & Chen, Kui & He, Shuhang & Liu, Kai & Xin, Dongli & Luo, Yang & Long, Zhou & Wu, Guangning, 2025. "State-of-health prediction of lithium-ion batteries using feature fusion and a hybrid neural network model," Energy, Elsevier, vol. 319(C).
    4. Mu, Guixiang & Wei, Qingguo & Xu, Yonghong & Li, Jian & Zhang, Hongguang & Yang, Fubin & Zhang, Jian & Li, Qi, 2025. "State of health estimation of lithium-ion batteries based on feature optimization and data-driven models," Energy, Elsevier, vol. 316(C).
    5. Sun, Jing & Wang, Haitao, 2025. "State of health estimation for lithium-ion batteries based on optimal feature subset algorithm," Energy, Elsevier, vol. 322(C).
    6. Meng-Xiang Yan & Zhi-Hui Deng & Lianfeng Lai & Yong-Hong Xu & Liang Tong & Hong-Guang Zhang & Yi-Yang Li & Ming-Hui Gong & Guo-Ju Liu, 2025. "A Sustainable SOH Prediction Model for Lithium-Ion Batteries Based on CPO-ELM-ABKDE with Uncertainty Quantification," Sustainability, MDPI, vol. 17(11), pages 1-28, June.
    7. Qi, Kaijian & Zhang, Weigang & Zhou, Wei & Cheng, Jifu, 2022. "Integrated battery power capability prediction and driving torque regulation for electric vehicles: A reduced order MPC approach," Applied Energy, Elsevier, vol. 317(C).
    8. Tang, Zhongyi & Zhang, Zhirong & Shen, Xianxian & Zhong, Anjie & Nazir, Muhammad Shahzad & Peng, Tian & Zhang, Chu, 2024. "Evolutionary hybrid deep learning based on feature engineering and deep projection encoded echo-state network for lithium batteries state of health estimation," Energy, Elsevier, vol. 313(C).
    9. Shi, Haotian & Wu, Qiqiao & Wang, Shunli & Cao, Wen & Li, Yang & Fernandez, Carlos & Huang, Qi, 2025. "Improved back-propagation neural network-multi-information gain optimization Kalman filter method for high-precision estimation of state-of-energy in lithium-ion batteries," Energy, Elsevier, vol. 335(C).
    10. Gu, Xinyu & See, K.W. & Li, Penghua & Shan, Kangheng & Wang, Yunpeng & Zhao, Liang & Lim, Kai Chin & Zhang, Neng, 2023. "A novel state-of-health estimation for the lithium-ion battery using a convolutional neural network and transformer model," Energy, Elsevier, vol. 262(PB).
    11. Peng, Simin & Zhu, Junchao & Wu, Tiezhou & Yuan, Caichenran & Cang, Junjie & Zhang, Kai & Pecht, Michael, 2024. "Prediction of wind and PV power by fusing the multi-stage feature extraction and a PSO-BiLSTM model," Energy, Elsevier, vol. 298(C).
    12. Zhao, Haichuan & Meng, Jinhao & Peng, Qiao, 2025. "Early perception of Lithium-ion battery degradation trajectory with graphical features and deep learning," Applied Energy, Elsevier, vol. 381(C).
    13. Xia, Xuelei & Chen, Yang & Shen, Jiangwei & Liu, Yonggang & Zhang, Yuanjian & Chen, Zheng & Wei, Fuxing, 2025. "State of health estimation for lithium-ion batteries based on impedance feature selection and improved support vector regression," Energy, Elsevier, vol. 326(C).
    14. Ni, Yulong & Song, Kai & Pei, Lei & Li, Xiaoyu & Wang, Tiansi & Zhang, He & Zhu, Chunbo & Xu, Jianing, 2025. "State-of-health estimation and knee point identification of lithium-ion battery based on data-driven and mechanism model," Applied Energy, Elsevier, vol. 385(C).
    15. Zhu, Yunlong & Dong, Zhe & Cheng, Zhonghua & Huang, Xiaojin & Dong, Yujie & Zhang, Zuoyi, 2023. "Neural network extended state-observer for energy system monitoring," Energy, Elsevier, vol. 263(PA).
    16. Wang, Zhen & Zhao, Li & Li, Yiding & Wang, Wenwei, 2025. "A data-efficient method for lithium-ion battery state-of-health estimation based on real-time frequent itemset image encoding," Applied Energy, Elsevier, vol. 398(C).
    17. Wang, Zhuoer & Zhu, Xiaowen & Wang, Qingbo & Zhou, Jian & Li, Bijun & Shi, Baohan & Zhang, Chenming, 2025. "MapVC: Map-based deep learning for real-time current prediction in eco-driving electric vehicles," Applied Energy, Elsevier, vol. 396(C).
    18. Tao, Junjie & Wang, Shunli & Cao, Wen & Fernandez, Carlos & Blaabjerg, Frede & Cheng, Liangwei, 2025. "An innovative multitask learning - Long short-term memory neural network for the online anti-aging state of charge estimation of lithium-ion batteries adaptive to varying temperature and current conditions," Energy, Elsevier, vol. 314(C).
    19. Tao, Junjie & Wang, Shunli & Cao, Wen & Cui, Yixiu & Fernandez, Carlos & Guerrero, Josep M., 2024. "Innovative multiscale fusion – Antinoise extended long short-term memory neural network modeling for high precision state of health estimation of lithium-ion batteries," Energy, Elsevier, vol. 312(C).
    20. Hu, Yuchen & Yun, Zhonghua & Wang, Jia & Guan, Lin, 2025. "A battery SOH estimation method based on PI-TFT-iDOA driven Li-battery discharge state features," Energy, Elsevier, vol. 335(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:appene:v:405:y:2026:i:c:s0306261925019695. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.