Reliable cross-domain lifetime prediction for fuel cells: A time-frequency fusion transfer learning architecture

Hangyu Wu, Fulin Fan, Kai Song, Chuanyu Sun, Yang Li, Changjun Xie, Xuan Meng, Jian Mei, and Siew Hwa Chan

Published in Energy, December 29, 2025 [Link]

Citation: Hangyu Wu, Fulin Fan, Kai Song, Chuanyu Sun, Yang Li, Changjun Xie, Xuan Meng, Jian Mei, and Siew Hwa Chan, "Reliable cross-domain lifetime prediction for fuel cells: A time-frequency fusion transfer learning architecture," Energy, 2026, Art no. 139854, doi: 10.1016/j.energy.2025.139854. [Copy]

Current transfer learning-based methods for predicting the degradation of proton exchange membrane fuel cells (PEMFCs) commonly face insufficient elimination of inter-domain distribution shifts and low knowledge transfer efficiency. Traditional approaches typically extract domain-invariant features by filtering multi-dimensional operational parameters. This process is not only complex but may also introduce interference weakly correlated with voltage degradation, thereby compromising the stability and reliability of cross-domain predictions. To address these challenges, this paper proposes a time-frequency fusion transfer learning (TF-TL) architecture. Unlike existing methods that filter domain-invariant features from multi-dimensional operational parameters, the proposed approach directly aligns domains by leveraging the intrinsic frequency-domain characteristics of voltage signals. The integrated Frequency Domain Adaptation (FDA) technique employs Fast Fourier Transform (FFT) to extract intrinsic low-frequency components from voltage signals. It then aligns features between source and target domains using an enhanced Maximum Mean Discrepancy (MMD) metric. This voltage-centric, frequency-domain alignment avoids dependence on complex auxiliary parameters, thus improving the interpretability and stability of transfer learning. Experimental results show that TF-TL significantly improves generalization across devices and operating conditions, with FDA effectively reducing inter-domain distribution divergence. In multiple transfer tasks, the framework achieves highly accurate and reliable remaining useful life estimation with a relative error below 1.9%. The proposed architecture provides a theoretical foundation for deploying rapid and reliable online prognostic systems for PEMFCs under complex operating conditions.