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A comprehensive, consistent and systematic mathematical model of PEM fuel cells

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  • Baschuk, J.J.
  • Li, Xianguo

Abstract

This paper presents a comprehensive, consistent and systematic mathematical model for PEM fuel cells that can be used as the general formulation for the simulation and analysis of PEM fuel cells. As an illustration, the model is applied to an isothermal, steady state, two-dimensional PEM fuel cell. Water is assumed to be in either the gas phase or as a liquid phase in the pores of the polymer electrolyte. The model includes the transport of gas in the gas flow channels, electrode backing and catalyst layers; the transport of water and hydronium in the polymer electrolyte of the catalyst and polymer electrolyte layers; and the transport of electrical current in the solid phase. Water and ion transport in the polymer electrolyte was modeled using the generalized Stefan-Maxwell equations, based on non-equilibrium thermodynamics. Model simulations show that the bulk, convective gas velocity facilitates hydrogen transport from the gas flow channels to the anode catalyst layers, but inhibits oxygen transport. While some of the water required by the anode is supplied by the water produced in the cathode, the majority of water must be supplied by the anode gas phase, making operation with fully humidified reactants necessary. The length of the gas flow channel has a significant effect on the current production of the PEM fuel cell, with a longer channel length having a lower performance relative to a shorter channel length. This lower performance is caused by a greater variation in water content within the longer channel length.

Suggested Citation

  • Baschuk, J.J. & Li, Xianguo, 2009. "A comprehensive, consistent and systematic mathematical model of PEM fuel cells," Applied Energy, Elsevier, vol. 86(2), pages 181-193, February.
    • Handle: RePEc:eee:appene:v:86:y:2009:i:2:p:181-193
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    References listed on IDEAS

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    1. J.J. Baschuk & Xianguo Li, 2003. "Mathematical model of a PEM fuel cell incorporating CO poisoning and O 2 (air) bleeding," International Journal of Global Energy Issues, Inderscience Enterprises Ltd, vol. 20(3), pages 245-276.
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    1. Wu, Horng-Wen & Ku, Hui-Wen, 2011. "The optimal parameters estimation for rectangular cylinders installed transversely in the flow channel of PEMFC from a three-dimensional PEMFC model and the Taguchi method," Applied Energy, Elsevier, vol. 88(12), pages 4879-4890.
    2. Ismail, M.S. & Hughes, K.J. & Ingham, D.B. & Ma, L. & Pourkashanian, M., 2012. "Effects of anisotropic permeability and electrical conductivity of gas diffusion layers on the performance of proton exchange membrane fuel cells," Applied Energy, Elsevier, vol. 95(C), pages 50-63.
    3. Yulin Wang & Xiangling Liao & Guokun Liu & Haokai Xu & Chao Guan & Huixuan Wang & Hua Li & Wei He & Yanzhou Qin, 2023. "Review of Flow Field Designs for Polymer Electrolyte Membrane Fuel Cells," Energies, MDPI, vol. 16(10), pages 1-54, May.
    4. Contreras, Alfonso & Posso, Fausto & Guervos, Esther, 2010. "Modelling and simulation of the utilization of a PEM fuel cell in the rural sector of Venezuela," Applied Energy, Elsevier, vol. 87(4), pages 1376-1385, April.
    5. Das, Prodip K. & Li, Xianguo & Liu, Zhong-Sheng, 2010. "Effective transport coefficients in PEM fuel cell catalyst and gas diffusion layers: Beyond Bruggeman approximation," Applied Energy, Elsevier, vol. 87(9), pages 2785-2796, September.
    6. Perng, Shiang-Wuu & Wu, Horng-Wen & Jue, Tswen-Chyuan & Cheng, Kuo-Chih, 2009. "Numerical predictions of a PEM fuel cell performance enhancement by a rectangular cylinder installed transversely in the flow channel," Applied Energy, Elsevier, vol. 86(9), pages 1541-1554, September.
    7. Henriques, T. & César, B. & Branco, P.J. Costa, 2010. "Increasing the efficiency of a portable PEM fuel cell by altering the cathode channel geometry: A numerical and experimental study," Applied Energy, Elsevier, vol. 87(4), pages 1400-1409, April.
    8. Wang, Yulin & Guan, Chao & Li, Hua & Zhao, Yulong & Wang, Cheng & He, Wei, 2023. "Flow field configuration design for a large-scale hydrogen polymer electrolyte membrane fuel cell," Applied Energy, Elsevier, vol. 351(C).
    9. Calabriso, Andrea & Borello, Domenico & Romano, Giovanni Paolo & Cedola, Luca & Del Zotto, Luca & Santori, Simone Giovanni, 2017. "Bubbly flow mapping in the anode channel of a direct methanol fuel cell via PIV investigation," Applied Energy, Elsevier, vol. 185(P2), pages 1245-1255.
    10. Jiao, Kui & Park, Jaewan & Li, Xianguo, 2010. "Experimental investigations on liquid water removal from the gas diffusion layer by reactant flow in a PEM fuel cell," Applied Energy, Elsevier, vol. 87(9), pages 2770-2777, September.
    11. Qin, Yanzhou & Li, Xianguo & Jiao, Kui & Du, Qing & Yin, Yan, 2014. "Effective removal and transport of water in a PEM fuel cell flow channel having a hydrophilic plate," Applied Energy, Elsevier, vol. 113(C), pages 116-126.
    12. Wang, Yun & Chen, Ken S. & Mishler, Jeffrey & Cho, Sung Chan & Adroher, Xavier Cordobes, 2011. "A review of polymer electrolyte membrane fuel cells: Technology, applications, and needs on fundamental research," Applied Energy, Elsevier, vol. 88(4), pages 981-1007, April.
    13. Hsueh, Ching-Yi & Chu, Hsin-Sen & Yan, Wei-Mon & Chen, Chiun-Hsun, 2010. "Transport phenomena and performance of a plate methanol steam micro-reformer with serpentine flow field design," Applied Energy, Elsevier, vol. 87(10), pages 3137-3147, October.
    14. Park, Jae Wan & Jiao, Kui & Li, Xianguo, 2010. "Numerical investigations on liquid water removal from the porous gas diffusion layer by reactant flow," Applied Energy, Elsevier, vol. 87(7), pages 2180-2186, July.
    15. Zhao, Jian & Shahgaldi, Samaneh & Alaefour, Ibrahim & Xu, Qian & Li, Xianguo, 2018. "Gas permeability of catalyzed electrodes in polymer electrolyte membrane fuel cells," Applied Energy, Elsevier, vol. 209(C), pages 203-210.
    16. Perng, Shiang-Wuu & Wu, Horng-Wen, 2010. "Effect of the prominent catalyst layer surface on reactant gas transport and cell performance at the cathodic side of a PEMFC," Applied Energy, Elsevier, vol. 87(4), pages 1386-1399, April.
    17. Wu, Horng-Wen, 2016. "A review of recent development: Transport and performance modeling of PEM fuel cells," Applied Energy, Elsevier, vol. 165(C), pages 81-106.
    18. Perng, Shiang-Wuu & Wu, Horng-Wen, 2011. "Non-isothermal transport phenomenon and cell performance of a cathodic PEM fuel cell with a baffle plate in a tapered channel," Applied Energy, Elsevier, vol. 88(1), pages 52-67, January.
    19. Wang, Chin-Tsan & Hu, Yuh-Chung & Zheng, Pei-Lun, 2010. "Novel biometric flow slab design for improvement of PEMFC performance," Applied Energy, Elsevier, vol. 87(4), pages 1366-1375, April.

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