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State-of-charge estimation in Li-SOCl2 batteries via electrochemical impedance spectroscopy and a type-2 fuzzy logic framework based on the mean aggregation interval approach

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  • Bayat, Peyman
  • Bayat, Pezhman

Abstract

Accurate and resilient state-of-charge (SoC) estimation is essential for lithium–thionyl chloride (Li-SOCl2) batteries operating under real-world uncertainty. This study presents a novel context-aware framework, mean aggregation interval approach (MAIA) integrated with interval type-2 fuzzy sets (IT2FSs), that intelligently merges advanced electrochemical characterization with adaptive fuzzy modeling. Distinctively, our approach leverages electrochemical impedance spectroscopy (EIS) data collected from a practical onboard setup rather than laboratory-grade systems, bridging the gap between algorithmic rigor and realistic deployment. Five novel EIS-derived parameters are extracted, offering deeper insight into battery behavior across varying SoC levels. MAIA performs robust multi-stage filtering to autonomously exclude anomalies linked to faulty cells, preserving data integrity without manual supervision. Subsequently, layered IT2FS reasoning applies midline interval calculations and smooth fuzzy rule aggregation, yielding interpretability and precision under nonlinear discharge conditions. The integrated methodology delivers fault-tolerant SoC tracking that is resilient to sensor ambiguity and operational fluctuation, validated through fourteen real-world experiments. Compared to existing methods, MAIA–IT2FSs demonstrates superior accuracy and flexibility, offering a high-fidelity foundation for smart meters, electric mobility systems, and next-generation energy platforms. These innovations mark a significant step toward scalable and intelligent battery management. The framework is computationally efficient, suitable for real-time embedded implementation, with execution times of under 50 ms on resource-constrained hardware.

Suggested Citation

  • Bayat, Peyman & Bayat, Pezhman, 2025. "State-of-charge estimation in Li-SOCl2 batteries via electrochemical impedance spectroscopy and a type-2 fuzzy logic framework based on the mean aggregation interval approach," Energy, Elsevier, vol. 341(C).
  • Handle: RePEc:eee:energy:v:341:y:2025:i:c:s0360544225052053
    DOI: 10.1016/j.energy.2025.139563
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    References listed on IDEAS

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    1. Mitra, Somalee & Chakraborty, Basab & Mitra, Pabitra, 2024. "Smart meter data analytics applications for secure, reliable and robust grid system: Survey and future directions," Energy, Elsevier, vol. 289(C).
    2. Dezhi Li & Dongfang Yang & Liwei Li & Licheng Wang & Kai Wang, 2022. "Electrochemical Impedance Spectroscopy Based on the State of Health Estimation for Lithium-Ion Batteries," Energies, MDPI, vol. 15(18), pages 1-26, September.
    3. Hu, Chunsheng & Ma, Liang & Guo, Shanshan & Guo, Gangsheng & Han, Zhiqiang, 2022. "Deep learning enabled state-of-charge estimation of LiFePO4 batteries: A systematic validation on state-of-the-art charging protocols," Energy, Elsevier, vol. 246(C).
    4. Guo, Shanshan & Ma, Liang, 2023. "A comparative study of different deep learning algorithms for lithium-ion batteries on state-of-charge estimation," Energy, Elsevier, vol. 263(PC).
    5. Qian, Guangjun & Zhu, Zhicheng & Guo, Peng & Liu, Lifang & Sun, Yuedong & Zheng, Yuejiu & Han, Xuebing & Ouyang, Minggao, 2025. "Multi-scenario state of charge adaptive estimation of lithium iron phosphate batteries based on impedance timescale information," Energy, Elsevier, vol. 338(C).
    6. Babaeiyazdi, Iman & Rezaei-Zare, Afshin & Shokrzadeh, Shahab, 2021. "State of charge prediction of EV Li-ion batteries using EIS: A machine learning approach," Energy, Elsevier, vol. 223(C).
    7. Lach, Łukasz & Kopeć, Sławomir & Heller, Krzysztof & Zyśk, Janusz & Adamiec, Ewa & Kisiel-Dorohinicki, Marek & Brzoza-Zajęcka, Ada & Gaska, Krzysztof, 2025. "Input-output model for forecasting economic and environmental effects of smart meters deployment in Poland," Energy, Elsevier, vol. 328(C).
    8. Buchicchio, Emanuele & De Angelis, Alessio & Santoni, Francesco & Carbone, Paolo & Bianconi, Francesco & Smeraldi, Fabrizio, 2023. "Battery SOC estimation from EIS data based on machine learning and equivalent circuit model," Energy, Elsevier, vol. 283(C).
    9. Yuan, Yongjun & Jiang, Bo & Chen, Qinpin & Wang, Xueyuan & Wei, Xuezhe & Dai, Haifeng, 2025. "A comparative study of battery state-of-charge estimation using electrochemical impedance spectroscopy by different machine learning methods," Energy, Elsevier, vol. 328(C).
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