IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v5y2012i8p2724-2744d19138.html
   My bibliography  Save this article

An Equivalent Electrical Circuit Model of Proton Exchange Membrane Fuel Cells Based on Mathematical Modelling

Author

Listed:
  • Melika Hinaje

    (Groupe de Recherche en Electrotechnique et Electronique de Nancy, Université de Lorraine, 2, Avenue de la Forêt de Haye, 54516 Vandoeuvre les-Nancy, France)

  • Stéphane Raël

    (Groupe de Recherche en Electrotechnique et Electronique de Nancy, Université de Lorraine, 2, Avenue de la Forêt de Haye, 54516 Vandoeuvre les-Nancy, France)

  • Panee Noiying

    (Groupe de Recherche en Electrotechnique et Electronique de Nancy, Université de Lorraine, 2, Avenue de la Forêt de Haye, 54516 Vandoeuvre les-Nancy, France)

  • Dinh An Nguyen

    (SAFT, 111/113, boulevard Alfred Daney, 33074 Bordeaux, France)

  • Bernard Davat

    (Groupe de Recherche en Electrotechnique et Electronique de Nancy, Université de Lorraine, 2, Avenue de la Forêt de Haye, 54516 Vandoeuvre les-Nancy, France)

Abstract

Many of the Proton Exchange Membrane Fuel Cell (PEMFC) models proposed in the literature consist of mathematical equations. However, they are not adequately practical for simulating power systems. The proposed model takes into account phenomena such as activation polarization, ohmic polarization, double layer capacitance and mass transport effects present in a PEM fuel cell. Using electrical analogies and a mathematical modeling of PEMFC, the circuit model is established. To evaluate the effectiveness of the circuit model, its static and dynamic performances under load step changes are simulated and compared to the numerical results obtained by solving the mathematical model. Finally, the applicability of our model is demonstrated by simulating a practical system.

Suggested Citation

  • Melika Hinaje & Stéphane Raël & Panee Noiying & Dinh An Nguyen & Bernard Davat, 2012. "An Equivalent Electrical Circuit Model of Proton Exchange Membrane Fuel Cells Based on Mathematical Modelling," Energies, MDPI, vol. 5(8), pages 1-21, July.
    • Handle: RePEc:gam:jeners:v:5:y:2012:i:8:p:2724-2744:d:19138
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/5/8/2724/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/5/8/2724/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yuan, Wei & Tang, Yong & Pan, Minqiang & Li, Zongtao & Tang, Biao, 2010. "Model prediction of effects of operating parameters on proton exchange membrane fuel cell performance," Renewable Energy, Elsevier, vol. 35(3), pages 656-666.
    2. Pathapati, P.R. & Xue, X. & Tang, J., 2005. "A new dynamic model for predicting transient phenomena in a PEM fuel cell system," Renewable Energy, Elsevier, vol. 30(1), pages 1-22.
    3. Andújar, J.M. & Segura, F. & Vasallo, M.J., 2008. "A suitable model plant for control of the set fuel cell−DC/DC converter," Renewable Energy, Elsevier, vol. 33(4), pages 813-826.
    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. Hernández-Gómez, Ángel & Ramirez, Victor & Guilbert, Damien & Saldivar, Belem, 2021. "Cell voltage static-dynamic modeling of a PEM electrolyzer based on adaptive parameters: Development and experimental validation," Renewable Energy, Elsevier, vol. 163(C), pages 1508-1522.
    2. Zhongmin Wan & Huawei Chang & Shuiming Shu & Yongxiang Wang & Haolin Tang, 2014. "A Review on Cold Start of Proton Exchange Membrane Fuel Cells," Energies, MDPI, vol. 7(5), pages 1-25, May.
    3. Geonhui Gwak & Minwoo Kim & Dohwan Kim & Muhammad Faizan & Kyeongmin Oh & Jaeseung Lee & Jaeyoo Choi & Nammin Lee & Kisung Lim & Hyunchul Ju, 2019. "Performance and Efficiency Analysis of an HT-PEMFC System with an Absorption Chiller for Tri-Generation Applications," Energies, MDPI, vol. 12(5), pages 1-21, March.
    4. Milos Milanovic & Verica Radisavljevic-Gajic, 2019. "Multi-Timescale-Based Partial Optimal Control of a Proton-Exchange Membrane Fuel Cell," Energies, MDPI, vol. 13(1), pages 1-24, December.
    5. Gregor Tavčar & Tomaž Katrašnik, 2013. "An Innovative Hybrid 3D Analytic-Numerical Approach for System Level Modelling of PEM Fuel Cells," Energies, MDPI, vol. 6(10), pages 1-60, October.
    6. Damien Guilbert & Gianpaolo Vitale, 2019. "Dynamic Emulation of a PEM Electrolyzer by Time Constant Based Exponential Model," Energies, MDPI, vol. 12(4), pages 1-17, February.

    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. Vasallo, Manuel Jesús & Bravo, José Manuel & Andújar, José Manuel, 2013. "Optimal sizing for UPS systems based on batteries and/or fuel cell," Applied Energy, Elsevier, vol. 105(C), pages 170-181.
    2. Hou, Yongping & Yang, Zhihua & Fang, Xue, 2011. "An experimental study on the dynamic process of PEM fuel cell stack voltage," Renewable Energy, Elsevier, vol. 36(1), pages 325-329.
    3. Movahedi, M. & Ramiar, A. & Ranjber, A.A., 2018. "3D numerical investigation of clamping pressure effect on the performance of proton exchange membrane fuel cell with interdigitated flow field," Energy, Elsevier, vol. 142(C), pages 617-632.
    4. Scrivano, G. & Piacentino, A. & Cardona, F., 2009. "Experimental characterization of PEM fuel cells by micro-models for the prediction of on-site performance," Renewable Energy, Elsevier, vol. 34(3), pages 634-639.
    5. Sharifi Asl, S.M. & Rowshanzamir, S. & Eikani, M.H., 2010. "Modelling and simulation of the steady-state and dynamic behaviour of a PEM fuel cell," Energy, Elsevier, vol. 35(4), pages 1633-1646.
    6. Tzelepis, Stefanos & Kavadias, Kosmas A. & Marnellos, George E. & Xydis, George, 2021. "A review study on proton exchange membrane fuel cell electrochemical performance focusing on anode and cathode catalyst layer modelling at macroscopic level," Renewable and Sustainable Energy Reviews, Elsevier, vol. 151(C).
    7. Moazeni, Faegheh & Khazaei, Javad, 2020. "Electrochemical optimization and small-signal analysis of grid-connected polymer electrolyte membrane (PEM) fuel cells for renewable energy integration," Renewable Energy, Elsevier, vol. 155(C), pages 848-861.
    8. Krystof Foniok & Lubomira Drozdova & Lukas Prokop & Filip Krupa & Pavel Kedron & Vojtech Blazek, 2025. "Mechanisms and Modelling of Effects on the Degradation Processes of a Proton Exchange Membrane (PEM) Fuel Cell: A Comprehensive Review," Energies, MDPI, vol. 18(8), pages 1-64, April.
    9. Deng, Zhihua & Chen, Qihong & Zhang, Liyan & Zhou, Keliang & Zong, Yi & Fu, Zhichao & Liu, Hao, 2021. "Data-driven reconstruction of interpretable model for air supply system of proton exchange membrane fuel cell," Applied Energy, Elsevier, vol. 299(C).
    10. Gregor Tavčar & Tomaž Katrašnik, 2013. "An Innovative Hybrid 3D Analytic-Numerical Approach for System Level Modelling of PEM Fuel Cells," Energies, MDPI, vol. 6(10), pages 1-60, October.
    11. Pei, Pucheng & Chen, Huicui, 2014. "Main factors affecting the lifetime of Proton Exchange Membrane fuel cells in vehicle applications: A review," Applied Energy, Elsevier, vol. 125(C), pages 60-75.
    12. Abdollahipour, Armin & Sayyaadi, Hoseyn, 2022. "A novel electrochemical refrigeration system based on the combined proton exchange membrane fuel cell-electrolyzer," Applied Energy, Elsevier, vol. 316(C).
    13. Daniel Ritzberger & Christoph Hametner & Stefan Jakubek, 2020. "A Real-Time Dynamic Fuel Cell System Simulation for Model-Based Diagnostics and Control: Validation on Real Driving Data," Energies, MDPI, vol. 13(12), pages 1-20, June.
    14. Hao Huang & Hua Ding & Donghai Hu & Zhaoxu Cheng & Chengyun Qiu & Yuran Shen & Xiangwen Su, 2023. "Thermal Performance Optimization of Multiple Circuits Cooling System for Fuel Cell Vehicle," Sustainability, MDPI, vol. 15(4), pages 1-23, February.
    15. Sutharssan, Thamo & Montalvao, Diogo & Chen, Yong Kang & Wang, Wen-Chung & Pisac, Claudia & Elemara, Hakim, 2017. "A review on prognostics and health monitoring of proton exchange membrane fuel cell," Renewable and Sustainable Energy Reviews, Elsevier, vol. 75(C), pages 440-450.
    16. Bornapour, Mosayeb & Hooshmand, Rahmat-Allah & Parastegari, Moein, 2019. "An efficient scenario-based stochastic programming method for optimal scheduling of CHP-PEMFC, WT, PV and hydrogen storage units in micro grids," Renewable Energy, Elsevier, vol. 130(C), pages 1049-1066.
    17. Deng, Hao & Wang, Dawei & Xie, Xu & Zhou, Yibo & Yin, Yan & Du, Qing & Jiao, Kui, 2016. "Modeling of hydrogen alkaline membrane fuel cell with interfacial effect and water management optimization," Renewable Energy, Elsevier, vol. 91(C), pages 166-177.
    18. Zhao, Taotao & Fan, Wenxuan & Cui, Hao & Liu, Mingxin & Zheng, Tongxi & Luan, Yang & Su, Xunkang & Liu, Chaozong & Lu, Guolong & Liu, Zhenning, 2025. "3D hybrid-wettability fin channel with dual enhancement of drainage and mass transfer to improve PEMFC performance," Energy, Elsevier, vol. 315(C).
    19. Wu, Ziyao & Pei, Pucheng & Xu, Huachi & Jia, Xiaoning & Ren, Peng & Wang, Bozheng, 2019. "Study on the effect of membrane electrode assembly parameters on polymer electrolyte membrane fuel cell performance by galvanostatic charging method," Applied Energy, Elsevier, vol. 251(C), pages 1-1.
    20. Wang, Zhenhao & Hu, Kaihua & Zhang, Jian & Ding, Honghui & Xin, Dongqun & Zhang, Fengyun & Sun, Shufeng, 2023. "Gas-liquid mass transfer characteristics of a novel three-dimensional flow field bipolar plate for laser additive manufacturing of proton exchange membrane fuel cell," Renewable Energy, Elsevier, vol. 212(C), pages 308-319.

    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:gam:jeners:v:5:y:2012:i:8:p:2724-2744:d:19138. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.