journal article·2025-06-19Open access

Advanced Algorithm for SOC, Internal Resistance, and SOH Co-Estimation of Lithium-Titanate-Oxide Batteries Using Neural Networks

Riccardo Di Dio, Roberto Di Rienzo, Gianluca Aurilio, Davide Cavaliere, Roberto Saletti

Batteries· Volume 11· Issue 6

Abstract

Lithium-titanate-oxide batteries can reduce the long charging time of electric vehicles by offering fast charging capabilities. However, high charging currents require an accurate estimation of battery internal state to prevent early aging of the battery and dangerous situations. An accurate algorithm based on neural networks for the co-estimation of state of charge, internal resistance, and capacity state of health is proposed in this work. The algorithm is trained with synthetic data generated by an electric vehicle simulation platform running seven different standard driving cycles at various settings. The algorithm is then validated using an additional standard driving cycle, achieving, for state of charge, internal resistance, and capacity state of health, a root mean square error lower than 2%, 80 μΩ, and 2.9%, and a mean absolute percentage error lower than 3.4%, 4.4%, and 3.3%, respectively. The results obtained and the comparison with literature works indicate that the co-estimation algorithm proposed is able to estimate the considered quantities with very good accuracy.
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Research context

OpenAlex topics: Advanced Battery Technologies Research · Advancements in Battery Materials · Conducting polymers and applications

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Marelli Europe S.p.A., Via del Timavo 33, 40131 Bologna, Italy

Dipartimento di Ingegneria dell’Informazione, University of Pisa, Via Caruso 16, 56122 Pisa, Italy

Marelli Corporation, Kodama Plant, 540-7 Kyoei, Kodama-cho, Honjo-City 367-0206, Saitama, Japan

Funding

European Union Next-GenerationEU · National Recovery and Resilience Plan (NRRP) · Ministero dell’Università e della Ricerca (MUR)

References (34)

Show source-provided references
1. Understanding lithium-ion battery management systems in electric vehicles: Environmental and health impacts, comparative study, and future trends: A review10.1016/j.rineng.2024.103047 ↗
2. Regional vehicle energy consumption evaluation framework to quantify the benefits of vehicle electrification in plateau city: A case study of Xining, China10.1016/j.apenergy.2024.124626 ↗
3. Fast-charging anodes for lithium ion batteries: Progress and challenges10.1039/D4CC00110A ↗
4. Baronti, F., Di Rienzo, R., Moras, R., Roncella, R., Saletti, R., Pede, G., and Vellucci, F. (2015, January 22–24). Implementation of the fast charging concept for electric local public transport: The case-study of a minibus. Proceedings of the 2015 IEEE 13th International Conference on Industrial Informatics (INDIN), Cambridge, UK.10.1109/INDIN.2015.7281920 ↗
5. Di Rienzo, R., Baronti, F., Vellucci, F., Cignini, F., Ortenzi, F., Pede, G., Roncella, R., and Saletti, R. (2016, January 2–4). Experimental analysis of an electric minibus with small battery and fast charge policy. Proceedings of the 2016 International Conference on Electrical Systems for Aircraft, Railway, Ship Propulsion and Road Vehicles & International Transportation Electrification Conference (ESARS-ITEC), Toulouse, France.10.1109/ESARS-ITEC.2016.7841433 ↗
6. State-of-health estimation for fast-charging lithium-ion batteries based on a short charge curve using graph convolutional and long short-term memory networks10.1016/j.jechem.2024.06.024 ↗
7. A novel lithium-ion battery state-of-health estimation method for fast-charging scenarios based on an improved multi-feature extraction and bagging temporal attention network10.1016/j.est.2024.113396 ↗
8. Aging-Optimized Fast Charging of Lithium Ion Cells Based on Three-Electrode Cell Measurements10.1002/ente.202000457 ↗
9. Kalk, A., Leuthner, L., Kupper, C., and Hiller, M. (2024). An Aging-Optimized State-of-Charge-Controlled Multi-Stage Constant Current (MCC) Fast Charging Algorithm for Commercial Li-Ion Battery Based on Three-Electrode Measurements. Batteries, 10.10.3390/batteries10080267 ↗
10. Zhang, D., Zhong, C., Xu, P., and Tian, Y. (2022). Deep Learning in the State of Charge Estimation for Li-Ion Batteries of Electric Vehicles: A Review. Machines, 10.10.3390/machines10100912 ↗
11. Deep learning enabled state of charge, state of health and remaining useful life estimation for smart battery management system: Methods, implementations, issues and prospects10.1016/j.est.2022.105752 ↗
12. Li, Y., Luo, L., Zhang, C., and Liu, H. (2023). State of Health Assessment for Lithium-Ion Batteries Using Incremental Energy Analysis and Bidirectional Long Short-Term Memory. World Electr. Veh. J., 14.10.3390/wevj14070188 ↗
13. Deep Learning Framework for Lithium-ion Battery State of Charge Estimation: Recent Advances and Future Perspectives10.1016/j.ensm.2023.102883 ↗
14. State of health estimation method for lithium-ion batteries using incremental capacity and long short-term memory network10.1016/j.est.2023.107063 ↗
15. Di Dio, R., Aurilio, G., Di Rienzo, R., and Saletti, R. (2024, January 19–20). Machine Learning for SOC Estimation in Li-Ion Batteries. Proceedings of the 2024 Applications in Electronics Pervading Industry, Environment and Society (Applepies), Turin, Italy.
16. Alamin, K.S.S., Chen, Y., Macii, E., Poncino, M., and Vinco, S. (2022, January 1–3). A Machine Learning-based Digital Twin for Electric Vehicle Battery Modeling. Proceedings of the 2022 IEEE International Conference on Omni-layer Intelligent Systems (COINS), Barcelona, Spain.10.1109/COINS54846.2022.9854960 ↗
17. Data-Driven Methods for the State of Charge Estimation of Lithium-Ion Batteries: An Overview10.3390/forecast5030032 ↗
18. Azkue, M., Miguel, E., Martinez-Laserna, E., Oca, L., and Iraola, U. (2023). Creating a Robust SoC Estimation Algorithm Based on LSTM Units and Trained with Synthetic Data. World Electr. Veh. J., 14.10.3390/wevj14070197 ↗
19. Comparison of Lithium-Ion Battery SoC Estimation Accuracy of LSTM Neural Network Trained with Experimental and Synthetic Datasets10.1007/978-3-031-48121-5_58 ↗
20. Tao, S., Jiang, B., Wei, X., and Dai, H. (2023). A Systematic and Comparative Study of Distinct Recurrent Neural Networks for Lithium-Ion Battery State-of-Charge Estimation in Electric Vehicles. Energies, 16.10.3390/en16042008 ↗
21. Chung, J., Gulcehre, C., Cho, K., and Bengio, Y. (2014). Empirical Evaluation of Gated Recurrent Neural Networks on Sequence Modeling. arXiv.
22. Long short-term memory10.1162/neco.1997.9.8.1735 ↗
23. A comparative study of different deep learning algorithms for lithium-ion batteries on state-of-charge estimation10.1016/j.energy.2022.125872 ↗
24. and Kumar, N. (2023). 5-Energy management systems for battery electric vehicles. Emerging Trends in Energy Storage Systems and Industrial Applications, Academic Press.
25. Hardware-in-the-Loop Platform for Assessing Battery State Estimators in Electric Vehicles10.1109/ACCESS.2018.2879785 ↗
26. Aurilio, G., Gallo, D., Landi, C., Luiso, M., Rosano, A., Landi, M., and Paciello, V. (2015, January 11–14). A battery equivalent-circuit model and an advanced technique for parameter estimation. Proceedings of the 2015 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) Proceedings, Pisa, Italy.10.1109/I2MTC.2015.7151537 ↗
27. Mawuntu, N.N., Mu, B.Q., Doukhi, O., and Lee, D.J. (2023). Modeling of the Battery Pack and Battery Management System towards an Integrated Electric Vehicle Application. Energies, 16.10.3390/en16207165 ↗
28. Kim, T., Qiao, W., and Qu, L. (2013, January 17–21). Real-time state of charge and electrical impedance estimation for lithium-ion batteries based on a hybrid battery model. Proceedings of the 2013 Twenty-Eighth Annual IEEE Applied Power Electronics Conference and Exposition (APEC), Long Beach, CA, USA.10.1109/APEC.2013.6520266 ↗
29. Calendar and cycling ageing combination of batteries in electric vehicles
30. Mathematical modeling of the capacity fade of Li-ion cells10.1016/S0378-7753(03)00531-7 ↗
31. Capacity fade study of lithium-ion batteries cycled at high discharge rates10.1016/S0378-7753(03)00029-6 ↗
32. Challenges in modeling high power lithium titanate oxide cells in battery management systems10.1016/j.est.2019.101189 ↗
33. Shi, D., Zhao, J., Wang, Z., Zhao, H., Eze, C., Wang, J., Lian, Y., and Burke, A.F. (2023). Cloud-Based Deep Learning for Co-Estimation of Battery State of Charge and State of Health. Energies, 16.10.3390/en16093855 ↗
34. State of charge estimation of lithium ion battery for electric vehicle using cutting edge machine learning algorithms: A review10.1016/j.est.2024.114281 ↗