This paper proposes a fuel cell aging trend prediction method based on the PatchTST model. By segmenting time series data into multiple local time windows and combining the Transformer architecture to capture long-and short-term dependencies
the method achieves precise prediction of fuel cell aging trends. In the experiments
the model was trained under steady-state and quasi-dynamic operating conditions using data with training set proportions of 50%
60%
and 70%
respectively
to predict aging trends for future horizons of 50 h
100 h
and 150 h. Analysis based on error evaluation metrics
such as URMSE and UMAE
indicates that the model achieves the lowest prediction error when the training set proportion is 60% for the FC1 dataset and 50% for the FC2 dataset. Although the error increases slightly as the prediction horizon extends
the overall performance remains relatively stable. Under the conditions where the FC1 dataset is divided by 50% and 60% ratios
the prediction errors of the PatchTST model are lower than those of the Informer
CHEN H C, PEI P C, SONG M C.Lifetime prediction and the economic lifetime of proton exchange membrane fuel cells[J]. Applied energy, 2015, 142: 154-163.
LIU J, GAO Y, SU X, et al.Disturbance-observer-based control for air management of PEM fuel cell systems via sliding mode technique[J]. IEEE transactions on control systems technology, 2018, 27(3): 1129-1138.
BURLATSKY S F, GUMMALLA M, O'NEILL J, et al. A mathematical model for predicting the life of polymer electrolyte fuel cell membranes subjected to hydration cycling[J]. Journal of power sources, 2012, 215: 135-144.
ZHOU D, WU Y, GAO F, et al.Degradation prediction of PEM fuel cell stack based on multiphysical aging model with particle filter approach[J]. IEEE transactions on industry applications, 2017, 53(4): 4041-4052.
LIU H, CHEN J, HISSEL D, et al.Remaining useful life estimation for proton exchange membrane fuel cells using a hybrid method[J]. Applied energy, 2019, 237: 910-919.
MA R, YANG T, BREAZ E, et al.Data-driven proton exchange membrane fuel cell degradation predication through deep learning method[J]. Applied energy, 2018, 231: 102-115.
MA R, BREAZ E, LIU C, et al.Data-driven prognostics for PEM fuel cell degradation by long short-term memory network[C]//2018 IEEE Transportation Electrification Conference and Expo. Long Beach, CA, USA, 2018: 102-107.
NIE Y, NGUYEN N H, SINTHONG P, et al. A time series is worth 64 words: long-term forecasting with transformers[J]. arXiv, 2022, preprint arXiv: 2211-14730.
ZENG A, CHEN M, ZHANG L, et al.Are transformers effective for time series forecasting?[C]//Proceedings of the AAAI Conference on Artificial Intelligence. Washington DC, USA, 2023, 37(9): 11121-11128.
VASWANI A, SHAZEER N, PARMAR N, et al.Attention is all you need[J]. Advances in neural information processing systems, 2017, 30: 6000-6010.
WILLMOTT C J, MATSUURA K.Advantages of the mean absolute error (MAE) over the root mean square error (RMSE) in assessing average model performance[J]. Climate research, 2005, 30(1): 79-82.