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Article

Domain Generalization Using Maximum Mean Discrepancy Loss for Remaining Useful Life Prediction of Lithium-Ion Batteries

Chair of Thermodynamics of Mobile Energy Conversion Systems, RWTH Aachen University, Forckenbeckstraße 4, 52074 Aachen, Germany
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Author to whom correspondence should be addressed.
Current address: Forckenbeckstraße 4, 52074 Aachen, Germany.
Batteries 2025, 11(5), 194; https://doi.org/10.3390/batteries11050194
Submission received: 8 April 2025 / Revised: 3 May 2025 / Accepted: 12 May 2025 / Published: 14 May 2025

Abstract

The capacity of Lithium-ion batteries degrades over the time, making accurate prediction of their Remaining Useful Life (RUL) crucial for maintenance and product lifespan design. However, diverse aging mechanisms, changing working conditions and cell-to-cell variation lead to the inhomogeneous cell lifespan and complicated life prediction. In this work, a data-driven algorithm based on stacked Long Short Term Memory (LSTM) encoder–decoders is proposed for RUL prediction. The encoder and upstream decoder form an autoencoder framework for feature extraction. The encoder and the downstream decoder form the encoder–decoder framework for RUL prediction. To enhance generalization during training, the Maximum Mean Discrepancy (MMD) loss is included in the autoencoder framework. The similarity of aging patterns is analyzed during splitting source and target datasets through k-means and Density-Based Spatial Clustering of Applications with Noise (DBSCAN). The Euclidean metric with accumulated Equivalent Cycle Number (ECN) sequence during aging shows better performance for similarity-based data splitting than the Dynamic Time Wrapping (DTW) distance metric based on capacity fading trajectory. The experimental results indicate that the proposed algorithm can provide accurate RUL prediction using 5% fading data and shows good generalization with R2 score of 0.98.
Keywords: lithium-ion battery (LIB); RUL; time series forecasting; domain adaption lithium-ion battery (LIB); RUL; time series forecasting; domain adaption
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MDPI and ACS Style

Li, W.; Yang, Y.; Pischinger, S. Domain Generalization Using Maximum Mean Discrepancy Loss for Remaining Useful Life Prediction of Lithium-Ion Batteries. Batteries 2025, 11, 194. https://doi.org/10.3390/batteries11050194

AMA Style

Li W, Yang Y, Pischinger S. Domain Generalization Using Maximum Mean Discrepancy Loss for Remaining Useful Life Prediction of Lithium-Ion Batteries. Batteries. 2025; 11(5):194. https://doi.org/10.3390/batteries11050194

Chicago/Turabian Style

Li, Wenbin, Yue Yang, and Stefan Pischinger. 2025. "Domain Generalization Using Maximum Mean Discrepancy Loss for Remaining Useful Life Prediction of Lithium-Ion Batteries" Batteries 11, no. 5: 194. https://doi.org/10.3390/batteries11050194

APA Style

Li, W., Yang, Y., & Pischinger, S. (2025). Domain Generalization Using Maximum Mean Discrepancy Loss for Remaining Useful Life Prediction of Lithium-Ion Batteries. Batteries, 11(5), 194. https://doi.org/10.3390/batteries11050194

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