IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v119y2017icp299-308.html
   My bibliography  Save this article

Two-dimensional analytical model of a proton exchange membrane fuel cell

Author

Listed:
  • Liu, Jia Xing
  • Guo, Hang
  • Ye, Fang
  • Ma, Chong Fang

Abstract

In this study, a two-dimensional full cell analytical model of a proton exchange membrane fuel cell is developed. The analytical model describes electrochemical reactions on the anode and cathode catalyst layer, reactants diffusion in the gas diffusion layer, and gases flow in the gas channel, etc. The analytical solution is derived according to the basic physical equations. The performance predicted by the model is in good agreement with the experimental data. The results show that the polarization mainly occurs in the cathode side of the proton exchange membrane fuel cell. The anodic overpotential cannot be neglected. The hydrogen and oxygen concentrations decrease along the channel flow direction. The hydrogen and oxygen concentrations in the catalyst layer decrease with the current density. As predicted by the model, concentration polarization mainly occurs in the cathode side.

Suggested Citation

  • Liu, Jia Xing & Guo, Hang & Ye, Fang & Ma, Chong Fang, 2017. "Two-dimensional analytical model of a proton exchange membrane fuel cell," Energy, Elsevier, vol. 119(C), pages 299-308.
    • Handle: RePEc:eee:energy:v:119:y:2017:i:c:p:299-308
    DOI: 10.1016/j.energy.2016.12.075
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544216318813
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2016.12.075?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Haji, Shaker, 2011. "Analytical modeling of PEM fuel cell i–V curve," Renewable Energy, Elsevier, vol. 36(2), pages 451-458.
    2. Carton, J.G. & Olabi, A.G., 2010. "Wind/hydrogen hybrid systems: Opportunity for Ireland’s wind resource to provide consistent sustainable energy supply," Energy, Elsevier, vol. 35(12), pages 4536-4544.
    3. Hu, Xiaosong & Johannesson, Lars & Murgovski, Nikolce & Egardt, Bo, 2015. "Longevity-conscious dimensioning and power management of the hybrid energy storage system in a fuel cell hybrid electric bus," Applied Energy, Elsevier, vol. 137(C), pages 913-924.
    4. Guo, Hang & Liu, Xuan & Zhao, Jian Fu & Ye, Fang & Ma, Chong Fang, 2016. "Effect of low gravity on water removal inside proton exchange membrane fuel cells (PEMFCs) with different flow channel configurations," Energy, Elsevier, vol. 112(C), pages 926-934.
    5. Carton, J.G. & Lawlor, V. & Olabi, A.G. & Hochenauer, C. & Zauner, G., 2012. "Water droplet accumulation and motion in PEM (Proton Exchange Membrane) fuel cell mini-channels," Energy, Elsevier, vol. 39(1), pages 63-73.
    6. Andrei Kulikovsky, 2014. "Polarization Curve of a Non-Uniformly Aged PEM Fuel Cell," Energies, MDPI, vol. 7(1), pages 1-14, January.
    7. Al-Baghdadi, Maher A.R. Sadiq, 2005. "Modelling of proton exchange membrane fuel cell performance based on semi-empirical equations," Renewable Energy, Elsevier, vol. 30(10), pages 1587-1599.
    8. Lulu Wang & Hang Guo & Fang Ye & Chongfang Ma, 2016. "Two-Dimensional Simulation of Mass Transfer in Unitized Regenerative Fuel Cells under Operation Mode Switching," Energies, MDPI, vol. 9(1), pages 1-18, January.
    9. Bruni, G. & Cordiner, S. & Mulone, V., 2014. "Domestic distributed power generation: Effect of sizing and energy management strategy on the environmental efficiency of a photovoltaic-battery-fuel cell system," Energy, Elsevier, vol. 77(C), pages 133-143.
    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. Toghyani, S. & Afshari, E. & Baniasadi, E. & Atyabi, S.A. & Naterer, G.F., 2018. "Thermal and electrochemical performance assessment of a high temperature PEM electrolyzer," Energy, Elsevier, vol. 152(C), pages 237-246.
    2. Chen, Hao & Guo, Hang & Ye, Fang & MA, Chong Fang, 2022. "Cell performance and flow losses of proton exchange membrane fuel cells with orientated-type flow channels," Renewable Energy, Elsevier, vol. 181(C), pages 1338-1352.
    3. K. V. S. Bharath & Frede Blaabjerg & Ahteshamul Haque & Mohammed Ali Khan, 2020. "Model-Based Data Driven Approach for Fault Identification in Proton Exchange Membrane Fuel Cell," Energies, MDPI, vol. 13(12), pages 1-18, June.
    4. Guo, Hang & Zhao, Qiang & Ye, Fang, 2022. "An experimental study on gas and liquid two-phase flow in orientated-type flow channels of proton exchange membrane fuel cells by using a side-view method," Renewable Energy, Elsevier, vol. 188(C), pages 603-618.
    5. Olivier Bethoux, 2020. "Hydrogen Fuel Cell Road Vehicles: State of the Art and Perspectives," Energies, MDPI, vol. 13(21), pages 1-28, November.
    6. Atyabi, Seyed Ali & Afshari, Ebrahim & Shakarami, Negar, 2023. "Three-dimensional multiphase modeling of the performance of an open-cathode PEM fuel cell with additional cooling channels," Energy, Elsevier, vol. 263(PA).
    7. Bai, Fan & Quan, Hong-Bing & Yin, Ren-Jie & Zhang, Zhuo & Jin, Shu-Qi & He, Pu & Mu, Yu-Tong & Gong, Xiao-Ming & Tao, Wen-Quan, 2022. "Three-dimensional multi-field digital twin technology for proton exchange membrane fuel cells," Applied Energy, Elsevier, vol. 324(C).
    8. Wang, Bowen & Wu, Kangcheng & Xi, Fuqiang & Xuan, Jin & Xie, Xu & Wang, Xiaoyang & Jiao, Kui, 2019. "Numerical analysis of operating conditions effects on PEMFC with anode recirculation," Energy, Elsevier, vol. 173(C), pages 844-856.
    9. Abdollahzadeh, M. & Ribeirinha, P. & Boaventura, M. & Mendes, A., 2018. "Three-dimensional modeling of PEMFC with contaminated anode fuel," Energy, Elsevier, vol. 152(C), pages 939-959.
    10. Pan, Mingzhang & Li, Chao & Liao, Jinyang & Lei, Han & Pan, Chengjie & Meng, Xianpan & Huang, Haozhong, 2020. "Design and modeling of PEM fuel cell based on different flow fields," Energy, Elsevier, vol. 207(C).
    11. Taner, Tolga, 2018. "Energy and exergy analyze of PEM fuel cell: A case study of modeling and simulations," Energy, Elsevier, vol. 143(C), pages 284-294.
    12. Chevalier, S. & Josset, C. & Auvity, B., 2018. "Analytical solutions and dimensional analysis of pseudo 2D current density distribution model in PEM fuel cells," Renewable Energy, Elsevier, vol. 125(C), pages 738-746.
    13. 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).
    14. Hong, Po & Xu, Liangfei & Li, Jianqiu & Ouyang, Minggao, 2017. "Modeling of membrane electrode assembly of PEM fuel cell to analyze voltage losses inside," Energy, Elsevier, vol. 139(C), pages 277-288.

    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. Park, Taehyun & Chang, Ikwhang & Jung, Ju Hae & Lee, Ha Beom & Ko, Seung Hwan & O'Hayre, Ryan & Yoo, Sung Jong & Cha, Suk Won, 2017. "Effect of assembly pressure on the performance of a bendable polymer electrolyte fuel cell based on a silver nanowire current collector," Energy, Elsevier, vol. 134(C), pages 412-419.
    2. Beltrán-Gastélum, M. & Salazar-Gastélum, M.I. & Félix-Navarro, R.M. & Pérez-Sicairos, S. & Reynoso-Soto, E.A. & Lin, S.W. & Flores-Hernández, J.R. & Romero-Castañón, T. & Albarrán-Sánchez, I.L. & Para, 2016. "Evaluation of PtAu/MWCNT (Multiwalled Carbon Nanotubes) electrocatalyst performance as cathode of a proton exchange membrane fuel cell," Energy, Elsevier, vol. 109(C), pages 446-455.
    3. Blal, Mohamed & Benatiallah, Ali & NeÇaibia, Ammar & Lachtar, Salah & Sahouane, Nordine & Belasri, Ahmed, 2019. "Contribution and investigation to compare models parameters of (PEMFC), comprehensives review of fuel cell models and their degradation," Energy, Elsevier, vol. 168(C), pages 182-199.
    4. Bizon, Nicu & Radut, Marin & Oproescu, Mihai, 2015. "Energy control strategies for the Fuel Cell Hybrid Power Source under unknown load profile," Energy, Elsevier, vol. 86(C), pages 31-41.
    5. Xing, Lei & Du, Shangfeng & Chen, Rui & Mamlouk, Mohamed & Scott, Keith, 2016. "Anode partial flooding modelling of proton exchange membrane fuel cells: Model development and validation," Energy, Elsevier, vol. 96(C), pages 80-95.
    6. Perng, Shiang-Wuu & Wu, Horng-Wen & Shih, Gin-Jang, 2015. "Effect of prominent gas diffusion layer (GDL) on non-isothermal transport characteristics and cell performance of a proton exchange membrane fuel cell (PEMFC)," Energy, Elsevier, vol. 88(C), pages 126-138.
    7. Rahnavard, Aylin & Rowshanzamir, Soosan & Parnian, Mohammad Javad & Amirkhanlou, Gholam Reza, 2015. "The effect of sulfonated poly (ether ether ketone) as the electrode ionomer for self-humidifying nanocomposite proton exchange membrane fuel cells," Energy, Elsevier, vol. 82(C), pages 746-757.
    8. Carton, J.G. & Olabi, A.G., 2017. "Three-dimensional proton exchange membrane fuel cell model: Comparison of double channel and open pore cellular foam flow plates," Energy, Elsevier, vol. 136(C), pages 185-195.
    9. Gao, Dan & Jiang, Dongfang & Liu, Pei & Li, Zheng & Hu, Sangao & Xu, Hong, 2014. "An integrated energy storage system based on hydrogen storage: Process configuration and case studies with wind power," Energy, Elsevier, vol. 66(C), pages 332-341.
    10. Díaz, Manuel Antonio & Iranzo, Alfredo & Rosa, Felipe & Isorna, Fernando & López, Eduardo & Bolivar, Juan Pedro, 2015. "Effect of carbon dioxide on the contamination of low temperature and high temperature PEM (polymer electrolyte membrane) fuel cells. Influence of temperature, relative humidity and analysis of regener," Energy, Elsevier, vol. 90(P1), pages 299-309.
    11. An, Myung-Gi & Mehmood, Asad & Hwang, Jinyeon & Ha, Heung Yong, 2016. "A novel method of methanol concentration control through feedback of the amplitudes of output voltage fluctuations for direct methanol fuel cells," Energy, Elsevier, vol. 100(C), pages 217-226.
    12. Zuo, Jian & Lv, Hong & Zhou, Daming & Xue, Qiong & Jin, Liming & Zhou, Wei & Yang, Daijun & Zhang, Cunman, 2021. "Deep learning based prognostic framework towards proton exchange membrane fuel cell for automotive application," Applied Energy, Elsevier, vol. 281(C).
    13. Bartolucci, Lorenzo & Cordiner, Stefano & Mulone, Vincenzo & Rocco, Vittorio & Rossi, Joao Luis, 2018. "Hybrid renewable energy systems for renewable integration in microgrids: Influence of sizing on performance," Energy, Elsevier, vol. 152(C), pages 744-758.
    14. Wang, Luwen & He, Mingyan & Hu, Yue & Zhang, Yufeng & Liu, Xiaowei & Wang, Gaofeng, 2015. "A “4-cell” modular passive DMFC (direct methanol fuel cell) stack for portable applications," Energy, Elsevier, vol. 82(C), pages 229-235.
    15. Chou, Chang-Chen & Liu, Cheng-Hong & Chen, Bing-Hung, 2014. "Effects of reduction temperature and pH value of polyol process on reduced graphene oxide supported Pt electrocatalysts for oxygen reduction reaction," Energy, Elsevier, vol. 70(C), pages 231-238.
    16. Zhang, Yufeng & Xue, Rui & Zhang, Xuelin & Song, Jiaying & Liu, Xiaowei, 2015. "rGO deposited in stainless steel fiber felt as mass transfer barrier layer for μ-DMFC," Energy, Elsevier, vol. 91(C), pages 1081-1086.
    17. Rezk, Hegazy & Aly, Mokhtar & Fathy, Ahmed, 2021. "A novel strategy based on recent equilibrium optimizer to enhance the performance of PEM fuel cell system through optimized fuzzy logic MPPT," Energy, Elsevier, vol. 234(C).
    18. Barzegari, Mohammad M. & Dardel, Morteza & Alizadeh, Ebrahim & Ramiar, Abas, 2016. "Reduced-order model of cascade-type PEM fuel cell stack with integrated humidifiers and water separators," Energy, Elsevier, vol. 113(C), pages 683-692.
    19. Xing, Lei & Cai, Qiong & Xu, Chenxi & Liu, Chunbo & Scott, Keith & Yan, Yongsheng, 2016. "Numerical study of the effect of relative humidity and stoichiometric flow ratio on PEM (proton exchange membrane) fuel cell performance with various channel lengths: An anode partial flooding modelli," Energy, Elsevier, vol. 106(C), pages 631-645.
    20. Gong, Wenyin & Cai, Zhihua, 2013. "Accelerating parameter identification of proton exchange membrane fuel cell model with ranking-based differential evolution," Energy, Elsevier, vol. 59(C), pages 356-364.

    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:energy:v:119:y:2017:i:c:p:299-308. 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/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.