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Volume 13 Issue 5
May  2026

IEEE/CAA Journal of Automatica Sinica

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Y. Zhang, Q. Zhang, B. Duan, P. Gu, C. Li, and C. Zhang, “Perceiving the battery multi-electrochemical states in real-time based on model-informed neural network,” IEEE/CAA J. Autom. Sinica, vol. 13, no. 5, pp. 1041–1053, May 2026. doi: 10.1109/JAS.2026.125945
Citation: Y. Zhang, Q. Zhang, B. Duan, P. Gu, C. Li, and C. Zhang, “Perceiving the battery multi-electrochemical states in real-time based on model-informed neural network,” IEEE/CAA J. Autom. Sinica, vol. 13, no. 5, pp. 1041–1053, May 2026. doi: 10.1109/JAS.2026.125945

Perceiving the Battery Multi-Electrochemical States in Real-time Based on Model-Informed Neural Network

doi: 10.1109/JAS.2026.125945
Funds:  This paper was supported by the National Key Research and Development Program of China (2022YFF0712700), the National Natural Science Foundation of China (62333013), and the National Science Foundation for Young Scholars (52507227)
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  • Accurate estimation of electrochemical states serves as a pathway to observe internal battery behaviors, effectively bridging the gap between micro mechanism and macro performance and enabling more precise control in an advanced battery management system. Yet conventional pseudo-two-dimensional (P2D) physics methods suffer from high computational complexity and limit their online application. Thus, we develop a model-informed neural network (MINN) framework that synergistically combines deep learning with a physics-based model to accurately monitor the battery electrochemical state (such as lithium-ion concentration, plating potential). Firstly, the MINN model is constructed with the innovative loss term containing experimentally measurable parameters and governing physical laws. Secondly, a composite framework based on a convolutional neural network (CNN) architecture is integrated to automatically extract features and enforce spatial boundary conditions, which significantly reduces the number of boundary loss terms that need to be solved and alleviates the complexity of the training process. After training, the MINN model can achieve an accurate estimation of internal states and even their spatiotemporal distributions that cannot be directly measured based on limited observable data and physical laws. At last, by incorporating dynamic current input, the well-trained basic model exhibits strong robustness and can be directly transferred to other cycling protocols with high accuracy, requiring no further retraining. MINN is a novel and promising framework to realize online and accurate micro electrochemical states monitoring, achieving at least 776 times speedup compared with the P2D model. As an innovative artificial intelligence assisted modeling for electrochemical systems, this framework enables root-cause analysis of battery behavior and failure modes, while empowering the management system with more reliable and trustworthy decision-making capabilities.

     

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  • [1]
    J. Xu, X. Cai, S. Cai, Y. Shao, C. Hu, S. Lu, and S. Ding, “High-energy lithium-ion batteries: Recent progress and a promising future in applications,” Energy Environ. Mater., vol. 6, no. 5, Art. no. e12450, Sep. 2023.
    [2]
    F. Degen, M. Winter, D. Bendig, and J. Tübke, “Energy consumption of current and future production of lithium-ion and post lithium-ion battery cells,” Nat. Energy, vol. 8, pp. 1284–1295, Sep. 2023. doi: 10.1038/s41560-023-01355-z
    [3]
    T. Gao, Y. Han, D. Fraggedakis, S. Das, T. Zhou, C.-N. Yeh, et al., “Interplay of lithium intercalation and plating on a single graphite particle,” Joule, vol. 5, no. 2, pp. 393–414, Feb. 2021. doi: 10.1016/j.joule.2020.12.020
    [4]
    H. Wang, Y. Zhu, S. C. Kim, A. Pei, Y. Li, D. T. Boyle, et al., “Underpotential lithium plating on graphite anodes caused by temperature heterogeneity,” Proc. Natl. Acad. Sci. USA, vol. 117, no. 47, pp. 29453–29461, Nov. 2020. doi: 10.1073/pnas.2009221117
    [5]
    R. Zhu, B. Duan, C. Zhang, and S. Gong, “Accurate lithium-ion battery modeling with inverse repeat binary sequence for electric vehicle applications,” Appl. Energy, vol. 251, Art. no. 113339, Oct. 2019. doi: 10.1016/j.apenergy.2019.113339
    [6]
    R. G. Nascimento, M. Corbetta, C. S. Kulkarni, and F. A. C. Viana, “Hybrid physics-informed neural networks for lithium-ion battery modeling and prognosis,” J. Power Sources, vol. 513, Art. no. 230526, Nov. 2021. doi: 10.1016/j.jpowsour.2021.230526
    [7]
    X. Zhao, Y. Liu, Z. Yang, R. Wang, L. Liu, L. Wang, et al., “A modified high C-rate battery equivalent circuit model based on current dependence and concentration modification,” Electrochim. Acta, vol. 478, Art. no. 143833, Feb. 2024. doi: 10.1016/j.electacta.2024.143833
    [8]
    C. Li, N. Cui, Z. Cui, C. Wang, and C. Zhang, “Novel equivalent circuit model for high-energy lithium-ion batteries considering the effect of nonlinear solid-phase diffusion,” J. Power Sources, vol. 523, Art. no. 230993, Mar. 2022. doi: 10.1016/j.jpowsour.2022.230993
    [9]
    Y. Gao, K. Liu, C. Zhu, X. Zhang, and D. Zhang, “Co-estimation of state-of-charge and state-of- health for lithium-ion batteries using an enhanced electrochemical model,” IEEE Trans. Ind. Electron., vol. 69, no. 3, pp. 2684–2696, Mar. 2022. doi: 10.1109/TIE.2021.3066946
    [10]
    M. Doyle, T. F. Fuller, and J. Newman, “Modeling of galvanostatic charge and discharge of the lithium polymer insertion cell,” J. Electrochem. Soc., vol. 140, no. 6, pp. 1526–1533, Jun. 1993. doi: 10.1149/1.2221597
    [11]
    M. Doyle and J. Newman, “The use of mathematical modeling in the design of lithium/polymer battery systems,” Electrochim. Acta, vol. 40, no. 13−14, pp. 2191–2196, Oct. 1995. doi: 10.1016/0013-4686(95)00162-8
    [12]
    Y. Gao, J. Zhu, and X. Zhang, “Evaluation of the effect of multiparticle on lithium-ion battery performance using an electrochemical model,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 10, pp. 1896–1898, Oct. 2022. doi: 10.1109/JAS.2022.105896
    [13]
    Z. Khalik, M. C. F. Donkers, J. Sturm, and H. J. Bergveld, “Parameter estimation of the Doyle-Fuller-Newman model for lithium-ion batteries by parameter normalization, grouping, and sensitivity analysis,” J. Power Sources, vol. 499, Art. no. 229901, Jul. 2021. doi: 10.1016/j.jpowsour.2021.229901
    [14]
    P. K. Jones, U. Stimming, and A. A. Lee, “Impedance-based forecasting of lithium-ion battery performance amid uneven usage,” Nat. Commun., vol. 13, no. 1, Art. no. 4806, Aug. 2022. doi: 10.1038/s41467-022-32422-w
    [15]
    S. Chen, Q. Zhang, F. Wang, D. Wang, and Z. He, “An electrochemical-thermal-aging effects coupled model for lithium-ion batteries performance simulation and state of health estimation,” Appl. Therm. Eng., vol. 239, Art. no. 122128, Feb. 2024. doi: 10.1016/j.applthermaleng.2023.122128
    [16]
    S. Kolluri, S. V. Aduru, M. Pathak, R. D. Braatz, and V. R. Subramanian, “Real-time nonlinear model predictive control (NMPC) strategies using physics-based models for advanced lithium-ion battery management system (BMS),” J. Electrochem. Soc., vol. 167, no. 6, Art. no. 063505, Apr. 2020. doi: 10.1149/1945-7111/ab7bd7
    [17]
    V. Sulzer, S. G. Marquis, R. Timms, M. Robinson, and S. J. Chapman, “Python battery mathematical modelling (PyBaMM),” J. Open Res. Softw., vol. 9, no. 1, Art. no. 14, Jun. 2021. doi: 10.5334/jors.309
    [18]
    S. Han, Y. Tang, and S. K. Rahimian, “A numerically efficient method of solving the full-order pseudo-2-dimensional (P2D) Li-ion cell model,” J. Power Sources, vol. 490, Art. no. 229571, Apr. 2021. doi: 10.1016/j.jpowsour.2021.229571
    [19]
    M. D. Berliner, H. Zhao, S. Das, M. Forsuelo, B. Jiang, W. H. Chueh, M. Z. Bazant, and R. D. Braatz, “Nonlinear identifiability analysis of the porous electrode theory model of lithium-ion batteries,” J. Electrochem. Soc., vol. 168, no. 9, Art. no. 090546, Sep. 2021. doi: 10.1149/1945-7111/ac26b1
    [20]
    Z. Deng, L. Yang, H. Deng, Y. Cai, and D. Li, “Polynomial approximation pseudo-two-dimensional battery model for online application in embedded battery management system,” Energy, vol. 142, pp. 838–850, Jan. 2018. doi: 10.1016/j.energy.2017.10.097
    [21]
    A. Rodríguez, G. L. Plett, and M. S. Trimboli, “Improved transfer functions modeling linearized lithium-ion battery-cell internal electrochemical variables,” J. Energy Storage, vol. 20, pp. 560–575, Dec. 2018. doi: 10.1016/j.est.2018.06.015
    [22]
    D. M. Ajiboye, J. W. Kimball, R. G. Landers, and J. Park, “Computationally efficient battery model for microgrid applications using the Chebyshev spectral method,” Comput. Chem. Eng., vol. 153, Art. no. 107420, Oct. 2021. doi: 10.1016/j.compchemeng.2021.107420
    [23]
    D. Zhang, B. N. Popov, and R. E. White, “Modeling lithium intercalation of a single spinel particle under potentiodynamic control,” J. Electrochem. Soc., vol. 147, no. 3, pp. 831–838, Mar. 2000.
    [24]
    C. Li, N. Cui, C. Wang, and C. Zhang, “Reduced-order electrochemical model for lithium-ion battery with domain decomposition and polynomial approximation methods,” Energy, vol. 221, Art. no. 119662, Apr. 2021. doi: 10.1016/j.energy.2020.119662
    [25]
    E. Prada, D. Di Domenico, Y. Creff, J. Bernard, V. Sauvant-Moynot, and F. Huet, “Simplified electrochemical and thermal model of LiFePO4-graphite Li-ion batteries for fast charge applications,” J. Electrochem. Soc., vol. 159, no. 9, pp. A1508–A1519, Aug. 2012. doi: 10.1149/2.064209jes
    [26]
    J. Zhu, Y. Wang, Y. Huang, R. Bhushan Gopaluni, Y. Cao, M. Heere, et al., “Data-driven capacity estimation of commercial lithium-ion batteries from voltage relaxation,” Nat. Commun., vol. 13, no. 1, Art. no. 2261, Apr. 2022. doi: 10.1038/s41467-022-29837-w
    [27]
    B.-R. Chen, C. M. Walker, S. Kim, M. R. Kunz, T. R. Tanim, and E. J. Dufek, “Battery aging mode identification across NMC compositions and designs using machine learning,” Joule, vol. 6, no. 12, pp. 2776–2793, Dec. 2022. doi: 10.1016/j.joule.2022.10.016
    [28]
    T. Bandai and T. A. Ghezzehei, “Physics-informed neural networks with monotonicity constraints for Richardson–Richards equation: Estimation of constitutive relationships and soil water flux density from volumetric water content measurements,” Water Resour. Res., vol. 57, no. 2, Art. no. e2020WR027642, Feb. 2021. doi: 10.1029/2020WR027642
    [29]
    G. Kissas, Y. Yang, E. Hwuang, W. R. Witschey, J. A. Detre, and P. Perdikaris, “Machine learning in cardiovascular flows modeling: Predicting arterial blood pressure from non-invasive 4D flow MRI data using physics-informed neural networks,” Comput. Methods Appl. Mech. Eng., vol. 358, Art. no. 112623, Jan. 2020. doi: 10.1016/j.cma.2019.112623
    [30]
    W. Li, D. Cao, D. Jöst, F. Ringbeck, M. Kuipers, F. Frie, and D. U. Sauer, “Parameter sensitivity analysis of electrochemical model-based battery management systems for lithium-ion batteries,” Appl. Energy, vol. 269, Art. no. 115104, Jul. 2020. doi: 10.1016/j.apenergy.2020.115104
    [31]
    B. Wu, B. Zhang, C. Deng, and W. Lu, “Physics-encoded deep learning in identifying battery parameters without direct knowledge of ground truth,” Appl. Energy, vol. 321, Art. no. 119390, Sep. 2022. doi: 10.1016/j.apenergy.2022.119390
    [32]
    T. R. Tanim, C. D. Rahn, and C.-Y. Wang, “A temperature dependent, single particle, lithium ion cell model including electrolyte diffusion,” J. Dyn. Syst., Meas., Control, vol. 137, no. 1, Art. no. 011005, Jan. 2015. doi: 10.1115/1.4028154
    [33]
    Y. Li, M. Vilathgamuwa, S. S. Choi, T. W. Farrell, N. T. Tran, and J. Teague, “Development of a degradation-conscious physics-based lithium-ion battery model for use in power system planning studies,” Appl. Energy, vol. 248, pp. 512–525, Aug. 2019. doi: 10.1016/j.apenergy.2019.04.143
    [34]
    D. Zhang, S. Park, L. D. Couto, V. Viswanathan, and S. J. Moura, “Beyond battery state of charge estimation: Observer for electrode-level state and cyclable lithium with electrolyte dynamics,” IEEE Trans. Transp. Electrific., vol. 9, no. 4, pp. 4846–4861, Dec. 2023. doi: 10.1109/TTE.2022.3191136

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