IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v256y2026ipfs0960148125020609.html

A comprehensive dynamic system model of proton exchange membrane fuel cell for analysis of high current power generation

Author

Listed:
  • Trinh, Dinh Hoang
  • Nguyen, Ngoc Dat
  • Choi, Yoora
  • Yu, Sangseok

Abstract

Developing high-power-density Proton Exchange Membrane Fuel Cells (PEMFCs) requires a clear understanding of their behavior under high current density (HCD) operation. This study presents a dynamic system-level PEMFC model featuring an analytically derived cathode gas diffusion medium integrated with an empirical two-phase multiplier. The model is validated against experimental polarization curves, limiting current densities (LCDs), and oxygen transport resistance, confirming its accuracy in predicting power output limitations under HCD operation without assuming a constant LCD. Using the validated model, the effects of inlet air relative humidity (RH) and load acceleration time are analyzed. When RH exceeds 50 %, cathode flooding increases oxygen transport resistance, reducing both LCD and maximum power density (MPD). Faster load acceleration further compromises MPD due to undershoot behavior and insufficient water removal. At 10 % RH, extending acceleration time from 3 to 20 s improves LCD from 2.167 to 2.332 A/cm2 and the MPD from 0.958 to 1.088 W/cm2. However, at 80 % RH, LCD remains limited at 1.563 A/cm2 even with 20-s acceleration, highlighting the severe impact of flooding. These results reveal a critical trade-off: higher RH operation preserves efficiency but limits MPD, whereas lower RH with longer load acceleration time increases MPD output but compromises overall efficiency.

Suggested Citation

  • Trinh, Dinh Hoang & Nguyen, Ngoc Dat & Choi, Yoora & Yu, Sangseok, 2026. "A comprehensive dynamic system model of proton exchange membrane fuel cell for analysis of high current power generation," Renewable Energy, Elsevier, vol. 256(PF).
  • Handle: RePEc:eee:renene:v:256:y:2026:i:pf:s0960148125020609
    DOI: 10.1016/j.renene.2025.124396
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148125020609
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.renene.2025.124396?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Zhao, Jian & Li, Xianguo & Shum, Chris & McPhee, John, 2023. "Control-oriented computational fuel cell dynamics modeling – Model order reduction vs. computational speed," Energy, Elsevier, vol. 266(C).
    2. Xiao, Biao & Zhao, Junjie & Fan, Lixin & Liu, Yang & Chan, Siew Hwa & Tu, Zhengkai, 2022. "Effects of moisture dehumidification on the performance and degradation of a proton exchange membrane fuel cell," Energy, Elsevier, vol. 245(C).
    3. Yu, Yang & Yu, Qinghua & Luo, RunSen & Chen, Sheng & Yang, Jiebo & Yan, Fuwu, 2024. "Degradation and polarization curve prediction of proton exchange membrane fuel cells: An interpretable model perspective," Applied Energy, Elsevier, vol. 365(C).
    4. Feng, ShengSen & Huang, WenTao & Huang, Zhe & Jian, Qifei, 2022. "Optimization of maximum power density output for proton exchange membrane fuel cell based on a data-driven surrogate model," Applied Energy, Elsevier, vol. 317(C).
    5. Vu, Hoang Nghia & Truong Le Tri, Dat & Nguyen, Huu Linh & Kim, Younghyeon & Yu, Sangseok, 2023. "Multifunctional bypass valve for water management and surge protection in a proton-exchange membrane fuel cell supply-air system," Energy, Elsevier, vol. 278(C).
    6. Yu, Sangseok & Jung, Dohoy, 2008. "Thermal management strategy for a proton exchange membrane fuel cell system with a large active cell area," Renewable Energy, Elsevier, vol. 33(12), pages 2540-2548.
    7. Barzegari, Mohammad Mahdi & Rahgoshay, Seyed Majid & Mohammadpour, Lliya & Toghraie, Davood, 2019. "Performance prediction and analysis of a dead-end PEMFC stack using data-driven dynamic model," Energy, Elsevier, vol. 188(C).
    8. Xu, Liangfei & Fang, Chuan & Li, Jianqiu & Ouyang, Minggao & Lehnert, Werner, 2018. "Nonlinear dynamic mechanism modeling of a polymer electrolyte membrane fuel cell with dead-ended anode considering mass transport and actuator properties," Applied Energy, Elsevier, vol. 230(C), pages 106-121.
    9. Zhu, Zheng & Liu, Xiangjie & Kong, Xiaobing & Ma, Lele & Lee, Kwang Y. & Xu, Yuping, 2024. "PV/Hydrogen DC microgrid control using distributed economic model predictive control," Renewable Energy, Elsevier, vol. 222(C).
    10. Hoang Nghia Vu & Dinh Hoang Trinh & Dat Truong Le Tri & Sangseok Yu, 2023. "Bypass Configurations of Membrane Humidifiers for Water Management in PEM Fuel Cells," Energies, MDPI, vol. 16(19), pages 1-17, October.
    11. Rahman, Md Azimur & Sarker, Mrittunjoy & Mojica, Felipe & Chuang, Po-Ya Abel, 2022. "A physics-based 1-D PEMFC model for simulating two-phase water transport in the electrode and gas diffusion media," Applied Energy, Elsevier, vol. 316(C).
    12. Fu, Hao & Kong, Fang & Wu, Feng & Wu, Xiao & Shen, Jiong, 2025. "Dynamic modeling and comprehensive analysis of proton exchange membrane fuel cell systems with complete auxiliary system," Renewable Energy, Elsevier, vol. 244(C).
    13. Abdin, Z. & Webb, C.J. & Gray, E.MacA., 2016. "PEM fuel cell model and simulation in Matlab–Simulink based on physical parameters," Energy, Elsevier, vol. 116(P1), pages 1131-1144.
    14. Yu, Rui Jiao & Guo, Hang & Ye, Fang & Chen, Hao, 2022. "Multi-parameter optimization of stepwise distribution of parameters of gas diffusion layer and catalyst layer for PEMFC peak power density," Applied Energy, Elsevier, vol. 324(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tawfiq, Kotb B. & Zeineldin, Hatem & Al-Durra, Ahmed & El-Saadany, Ehab F., 2026. "Hydrogen fuel cell-inverter system for grid-connected applications: LCL filter design and optimized control strategies for power quality and standard compliance," Renewable Energy, Elsevier, vol. 260(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chen, Xi & Gu, Bin & Feng, Wentao & Tan, Jingying & Kong, Xiangzhong & Li, Shi & Chen, Yiyu & Wan, Zhongmin, 2024. "Research on control strategy of PEMFC air supply system for power and efficiency improvement," Energy, Elsevier, vol. 304(C).
    2. Siwen Gu & Jiaan Wang & Xinmin You & Yu Zhuang, 2023. "Investigating the Parameter-Driven Cathode Gas Diffusion of PEMFCs with a Piecewise Linearization Model," Energies, MDPI, vol. 16(9), pages 1-12, April.
    3. Zou, Wei & Froning, Dieter & Shi, Yan & Lehnert, Werner, 2021. "Working zone for a least-squares support vector machine for modeling polymer electrolyte fuel cell voltage," Applied Energy, Elsevier, vol. 283(C).
    4. Vu, Hoang Nghia & Truong Le Tri, Dat & Nguyen, Huu Linh & Kim, Younghyeon & Yu, Sangseok, 2023. "Multifunctional bypass valve for water management and surge protection in a proton-exchange membrane fuel cell supply-air system," Energy, Elsevier, vol. 278(C).
    5. Su, Hongye & Xu, Haisong & Wang, Lei & Liu, Zhiyang & Xie, Lei, 2025. "A review on thermal management strategy for liquid-cooling proton exchange membrane fuel cells: Temperature regulation and cold start," Applied Energy, Elsevier, vol. 393(C).
    6. Wu, Jintao & Hua, Zhipeng & Cao, Xianguang & Tang, Jiong & Cai, Shanshan & Tu, Zhengkai, 2025. "Dynamic performance of an innovative multi-port heat recovery in megawatt-class PEM fuel cell cogeneration system," Applied Energy, Elsevier, vol. 393(C).
    7. Xuan, Zi-Hao & Fang, Wen-Zhen & Zhao, Guo-Rui & Tao, Wen-Quan, 2025. "Optimal gradient designs of catalyst layers for boosting performance: A data-driven-assisted model," Applied Energy, Elsevier, vol. 377(PD).
    8. Wang, Chuanjie & Li, Jia & Zhang, Siao & Li, Xiaoke & Duan, Xiao & Wu, Yongquan & Zhang, Qinghao & Yang, Tianrang & Liu, Jianguo, 2024. "High-precision identification of polarization processes of proton exchange membrane fuel cells through relaxation time analysis: Targeted experimental design and verification," Applied Energy, Elsevier, vol. 367(C).
    9. Steinberger, Michael & Geiling, Johannes & Oechsner, Richard & Frey, Lothar, 2018. "Anode recirculation and purge strategies for PEM fuel cell operation with diluted hydrogen feed gas," Applied Energy, Elsevier, vol. 232(C), pages 572-582.
    10. Zheng Huang & Laisuo Su & Yunjie Yang & Linsong Gao & Xinyu Liu & Heng Huang & Yubai Li & Yongchen Song, 2023. "Three-Dimensional Simulation on the Effects of Different Parameters and Pt Loading on the Long-Term Performance of Proton Exchange Membrane Fuel Cells," Sustainability, MDPI, vol. 15(4), pages 1-22, February.
    11. Olaf Dybiński & Tomasz Kurkus & Lukasz Szablowski & Arkadiusz Szczęśniak & Jaroslaw Milewski & Aliaksandr Martsinchyk & Pavel Shuhayeu, 2025. "Artificial Neural Network-Based Mathematical Model of Methanol Steam Reforming on the Anode of Molten Carbonate Fuel Cell Based on Experimental Research," Energies, MDPI, vol. 18(11), pages 1-17, June.
    12. Igourzal, Ayoub & Auger, François & Olivier, Jean-Christophe & Retière, Clément, 2024. "Electrical, thermal and degradation modelling of PEMFCs for naval applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 224(PA), pages 34-49.
    13. Xu, Liangfei & Hu, Zunyan & Fang, Chuan & Li, Jianqiu & Hong, Po & Jiang, Hongliang & Guo, Di & Ouyang, Minggao, 2021. "Anode state observation of polymer electrolyte membrane fuel cell based on unscented Kalman filter and relative humidity sensor before flooding," Renewable Energy, Elsevier, vol. 168(C), pages 1294-1307.
    14. Lu, Guolong & Fan, Wenxuan & Lu, Dafeng & Zhao, Taotao & Wu, Qianqian & Liu, Mingxin & Liu, Zhenning, 2024. "Lung-inspired hybrid flow field to enhance PEMFC performance: A case of dual optimization by response surface and artificial intelligence," Applied Energy, Elsevier, vol. 355(C).
    15. Zichen Lu & Ying Yan, 2024. "Temperature Control of Fuel Cell Based on PEI-DDPG," Energies, MDPI, vol. 17(7), pages 1-19, April.
    16. Xu, Liangfei & Fang, Chuan & Li, Jianqiu & Ouyang, Minggao & Lehnert, Werner, 2018. "Nonlinear dynamic mechanism modeling of a polymer electrolyte membrane fuel cell with dead-ended anode considering mass transport and actuator properties," Applied Energy, Elsevier, vol. 230(C), pages 106-121.
    17. Becker, F. & Cosse, C. & Gentner, C. & Schulz, D. & Liphardt, L., 2024. "Novel electrochemical and thermodynamic conditioning approaches and their evaluation for open cathode PEM-FC stacks," Applied Energy, Elsevier, vol. 363(C).
    18. Xiaogang Wu & Boyang Yu & Jiuyu Du & Wenwen Shi, 2019. "Feedforward-Double Feedback Control System of Dual-Switch Boost DC/DC Converters for Fuel Cell Vehicles," Energies, MDPI, vol. 12(15), pages 1-18, July.
    19. Cai, Shanshan & Yang, Juncheng & Zou, Yuqi & Hua, Zhipeng & Li, Song & Tu, Zhengkai, 2025. "Energy-exergy-emergy optimization analysis designed for combined cooling and power systems driven by proton-exchange membrane fuel cell," Energy, Elsevier, vol. 329(C).
    20. Luo, Lizhong & Jian, Qifei & Huang, Bi & Huang, Zipeng & Zhao, Jing & Cao, Songyang, 2019. "Experimental study on temperature characteristics of an air-cooled proton exchange membrane fuel cell stack," Renewable Energy, Elsevier, vol. 143(C), pages 1067-1078.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:renene:v:256:y:2026:i:pf:s0960148125020609. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/renewable-energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.