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Article

Capacity Estimation Method for Lithium-Ion Battery Based on Frequency-Domain Enhancement and Residual Connection

1
The 10th Institute of China Electronics Technology Group Corporation, Chengdu 610036, China
2
School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710000, China
*
Author to whom correspondence should be addressed.
Processes 2025, 13(11), 3467; https://doi.org/10.3390/pr13113467
Submission received: 17 September 2025 / Revised: 7 October 2025 / Accepted: 17 October 2025 / Published: 28 October 2025
(This article belongs to the Special Issue Fault Diagnosis of Equipment in the Process Industry)

Abstract

With the widespread adoption of lithium-ion batteries in electric vehicles, energy storage, and consumer electronics, accurate capacity estimation has become critical for battery management systems (BMS). To address the limitations of existing methods—which emphasize time-domain features, and struggle to capture periodic degradation and high-frequency disturbances in the frequency domain, and whose deep networks often under-represent long-term degradation trends due to gradient issues—this paper proposes a frequency-domain enhanced Transformer for lithium-ion battery capacity estimation. Specifically, for each cycle we apply FFT to voltage, current, and temperature signals to extract frequency-domain features and fuse them with time-domain statistics; a residual connection is introduced within the Transformer encoder to stabilize optimization and preserve long-term degradation trends, enabling high-precision capacity estimation. Evaluated on three batches of the MIT public fast-charging dataset, the method achieves Avg RMSE 0.0013, Avg MAE 0.0006, and Avg R2 0.9977 on the test set; compared with the Transformer baseline, RMSE decreases by 60.6%, MAE decreases by 73.9%, and R2 increases by 0.83%. The contribution lies in jointly embedding explicit time–frequency feature fusion and residual connections into a Transformer backbone to obtain accurate estimates with stable generalization. In terms of societal benefit, more reliable capacity/health estimates can support better BMS decision-making, improve the safety and lifetime of electric vehicles and energy-storage systems, and reduce lifecycle costs.
Keywords: battery capacity estimation; deep learning; frequency-domain analysis; residual structure; transformer battery capacity estimation; deep learning; frequency-domain analysis; residual structure; transformer

Share and Cite

MDPI and ACS Style

Xu, W.; Yan, D. Capacity Estimation Method for Lithium-Ion Battery Based on Frequency-Domain Enhancement and Residual Connection. Processes 2025, 13, 3467. https://doi.org/10.3390/pr13113467

AMA Style

Xu W, Yan D. Capacity Estimation Method for Lithium-Ion Battery Based on Frequency-Domain Enhancement and Residual Connection. Processes. 2025; 13(11):3467. https://doi.org/10.3390/pr13113467

Chicago/Turabian Style

Xu, Wenqing, and Dejin Yan. 2025. "Capacity Estimation Method for Lithium-Ion Battery Based on Frequency-Domain Enhancement and Residual Connection" Processes 13, no. 11: 3467. https://doi.org/10.3390/pr13113467

APA Style

Xu, W., & Yan, D. (2025). Capacity Estimation Method for Lithium-Ion Battery Based on Frequency-Domain Enhancement and Residual Connection. Processes, 13(11), 3467. https://doi.org/10.3390/pr13113467

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