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Leveraging the capabilities of physics-informed neural networks for channel optimization in PEM fuel cells

Author

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  • Toussaint, Julian Nicolas
  • Pieper, Sebastian
  • Mally, Max Paul
  • Pischinger, Stefan

Abstract

Physics-informed neural networks (PINNs) offer a promising alternative to computationally expensive CFD-based design studies of proton exchange membrane fuel cells (PEMFCs). However, their suitability for modeling realistic fuel cell channel flows and their ability to generalize across different geometric designs have not yet been systematically assessed. This work addresses this gap by developing a mesh-free PINN framework that embeds the governing transport equations of multicomponent channel flow, including oxygen consumption, directly into the learning process. Unlike conventional artificial neural networks (ANNs), the proposed PINN does not require labelled CFD training data. In this work, CFD data are used for benchmarking and validation, while the PINN training itself does not rely on CFD field solutions in the interior of the computational domain, and the PINN training itself is driven solely by the embedded governing equations without labelled CFD target fields. The model is evaluated with respect to two core research questions: (i) Can a PINN accurately reproduce the coupled flow and species transport fields in a PEMFC gas channel? and (ii) Can the learned physics be leveraged to predict performance for previously unseen channel widths? Results show that the PINN reproduces CFD reference fields with high accuracy and substantially outperforms ANNs in generalizing to channel widths not included in training. Moreover, the PINN-based design study achieves a computational time reduction of approximately 83.9% compared to full CFD simulations. These findings demonstrate that PINNs provide a data-efficient and computationally lightweight surrogate model suitable for accelerating iterative PEMFC channel design, here exemplarily demonstrated for variations in channel width.

Suggested Citation

  • Toussaint, Julian Nicolas & Pieper, Sebastian & Mally, Max Paul & Pischinger, Stefan, 2026. "Leveraging the capabilities of physics-informed neural networks for channel optimization in PEM fuel cells," Applied Energy, Elsevier, vol. 409(C).
  • Handle: RePEc:eee:appene:v:409:y:2026:i:c:s0306261926001303
    DOI: 10.1016/j.apenergy.2026.127478
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    References listed on IDEAS

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    1. David A. Cullen & K. C. Neyerlin & Rajesh K. Ahluwalia & Rangachary Mukundan & Karren L. More & Rodney L. Borup & Adam Z. Weber & Deborah J. Myers & Ahmet Kusoglu, 2021. "New roads and challenges for fuel cells in heavy-duty transportation," Nature Energy, Nature, vol. 6(5), pages 462-474, May.
    2. Tabbi Wilberforce & Abdul Ghani Olabi, 2020. "Performance Prediction of Proton Exchange Membrane Fuel Cells (PEMFC) Using Adaptive Neuro Inference System (ANFIS)," Sustainability, MDPI, vol. 12(12), pages 1-16, June.
    3. Tabbi Wilberforce & Mohammad Biswas & Abdelnasir Omran, 2022. "Power and Voltage Modelling of a Proton-Exchange Membrane Fuel Cell Using Artificial Neural Networks," Energies, MDPI, vol. 15(15), pages 1-15, August.
    4. Yikai Tang & Xing Huang & Yanju Li & Haoran Ma & Kai Zhang & Ke Song, 2025. "Degradation Prediction of Proton Exchange Membrane Fuel Cell Based on Multi-Head Attention Neural Network and Transformer Model," Energies, MDPI, vol. 18(12), pages 1-20, June.
    5. Ko, Taehwan & Kim, Dukyong & Park, Jaewoong & Lee, Seung Hwan, 2025. "Physics-informed neural network for long-term prognostics of proton exchange membrane fuel cells," Applied Energy, Elsevier, vol. 382(C).
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