IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v226y2018icp570-581.html
   My bibliography  Save this article

Numerical stiffness study of multi-physical solid oxide fuel cell model for real-time simulation applications

Author

Listed:
  • Ma, Rui
  • Liu, Chen
  • Breaz, Elena
  • Briois, Pascal
  • Gao, Fei

Abstract

Real-time fuel cell model and simulations can help to develop the fuel cell system, especially for the effective implementation of the advanced online diagnostic tool by the multi-dimensional multi-physical approach. However, the strong numeric stiffness observed in the physical equations of the high dimensional real-time model can lead to an overrun error for real-time simulation, which could be critical for online diagnosis accuracy, or even cause control failure. In this paper, the real-time simulation of a two-dimensional tubular solid oxide fuel cell model is developed. Moreover, the stiff issues of the control-oriented real-time fuel cell model are analyzed thoroughly through the calculations and comparisons of the time constants and eigenvalues for the dynamic ordinary differential equations of the nonlinear fuel cell model. An appropriate solving approach with second-order accuracy is then proposed to reduce the influence of the specific stiffness issue during the real-time simulation. The proposed solving algorithm is proofed to be L-stable and thus can make the stiff fuel cell model executed with a reduced computation time. The experimental results show that the developed multi-physical tubular fuel cell model can be effectively executed in real-time within milliseconds range with over hundreds of control volumes.

Suggested Citation

  • Ma, Rui & Liu, Chen & Breaz, Elena & Briois, Pascal & Gao, Fei, 2018. "Numerical stiffness study of multi-physical solid oxide fuel cell model for real-time simulation applications," Applied Energy, Elsevier, vol. 226(C), pages 570-581.
    • Handle: RePEc:eee:appene:v:226:y:2018:i:c:p:570-581
    DOI: 10.1016/j.apenergy.2018.06.030
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261918308997
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.apenergy.2018.06.030?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. Ferrari, Mario L., 2015. "Advanced control approach for hybrid systems based on solid oxide fuel cells," Applied Energy, Elsevier, vol. 145(C), pages 364-373.
    2. Xu, Haoran & Chen, Bin & Liu, Jiang & Ni, Meng, 2016. "Modeling of direct carbon solid oxide fuel cell for CO and electricity cogeneration," Applied Energy, Elsevier, vol. 178(C), pages 353-362.
    3. Hajimolana, S. Ahmad & Hussain, M. Azlan & Daud, W.M. Ashri Wan & Soroush, M. & Shamiri, A., 2011. "Mathematical modeling of solid oxide fuel cells: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(4), pages 1893-1917, May.
    4. Xu, Haoran & Chen, Bin & Tan, Peng & Cai, Weizi & He, Wei & Farrusseng, David & Ni, Meng, 2018. "Modeling of all porous solid oxide fuel cells," Applied Energy, Elsevier, vol. 219(C), pages 105-113.
    5. He, Zhongjie & Li, Hua & Birgersson, E., 2014. "Correlating variability of modeling parameters with non-isothermal stack performance: Monte Carlo simulation of a portable 3D planar solid oxide fuel cell stack," Applied Energy, Elsevier, vol. 136(C), pages 560-575.
    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. 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.
    2. Subotić, Vanja & Menzler, Norbert H. & Lawlor, Vincent & Fang, Qingping & Pofahl, Stefan & Harter, Philipp & Schroettner, Hartmuth & Hochenauer, Christoph, 2020. "On the origin of degradation in fuel cells and its fast identification by applying unconventional online-monitoring tools," Applied Energy, Elsevier, vol. 277(C).
    3. Jinquan, Guo & Hongwen, He & Jianwei, Li & Qingwu, Liu, 2021. "Real-time energy management of fuel cell hybrid electric buses: Fuel cell engines friendly intersection speed planning," Energy, Elsevier, vol. 226(C).
    4. Ma, Rui & Yang, Tao & Breaz, Elena & Li, Zhongliang & Briois, Pascal & Gao, Fei, 2018. "Data-driven proton exchange membrane fuel cell degradation predication through deep learning method," Applied Energy, Elsevier, vol. 231(C), pages 102-115.

    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. Guk, Erdogan & Kim, Jung-Sik & Ranaweera, Manoj & Venkatesan, Vijay & Jackson, Lisa, 2018. "In-situ monitoring of temperature distribution in operating solid oxide fuel cell cathode using proprietary sensory techniques versus commercial thermocouples," Applied Energy, Elsevier, vol. 230(C), pages 551-562.
    2. Xu, Haoran & Chen, Bin & Tan, Peng & Xuan, Jin & Maroto-Valer, M. Mercedes & Farrusseng, David & Sun, Qiong & Ni, Meng, 2019. "Modeling of all-porous solid oxide fuel cells with a focus on the electrolyte porosity design," Applied Energy, Elsevier, vol. 235(C), pages 602-611.
    3. Xu, Haoran & Chen, Bin & Tan, Peng & Sun, Qiong & Maroto-Valer, M. Mercedes & Ni, Meng, 2019. "Modelling of a hybrid system for on-site power generation from solar fuels," Applied Energy, Elsevier, vol. 240(C), pages 709-718.
    4. Xu, Haoran & Chen, Bin & Tan, Peng & Cai, Weizi & Wu, Yiyang & Zhang, Houcheng & Ni, Meng, 2018. "A feasible way to handle the heat management of direct carbon solid oxide fuel cells," Applied Energy, Elsevier, vol. 226(C), pages 881-890.
    5. Sorce, A. & Greco, A. & Magistri, L. & Costamagna, P., 2014. "FDI oriented modeling of an experimental SOFC system, model validation and simulation of faulty states," Applied Energy, Elsevier, vol. 136(C), pages 894-908.
    6. 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.
    7. Xu, Yuan-wu & Wu, Xiao-long & Zhong, Xiao-bo & Zhao, Dong-qi & Sorrentino, Marco & Jiang, Jianhua & Jiang, Chang & Fu, Xiaowei & Li, Xi, 2021. "Mechanism model-based and data-driven approach for the diagnosis of solid oxide fuel cell stack leakage," Applied Energy, Elsevier, vol. 286(C).
    8. Fardadi, Mahshid & McLarty, Dustin F. & Jabbari, Faryar, 2016. "Investigation of thermal control for different SOFC flow geometries," Applied Energy, Elsevier, vol. 178(C), pages 43-55.
    9. Guk, Erdogan & Venkatesan, Vijay & Babar, Shumaila & Jackson, Lisa & Kim, Jung-Sik, 2019. "Parameters and their impacts on the temperature distribution and thermal gradient of solid oxide fuel cell," Applied Energy, Elsevier, vol. 241(C), pages 164-173.
    10. He, Zhongjie & Birgersson, E. & Li, Hua, 2014. "Reduced non-isothermal model for the planar solid oxide fuel cell and stack," Energy, Elsevier, vol. 70(C), pages 478-492.
    11. Maciej Ławryńczuk, 2018. "Towards Reduced-Order Models of Solid Oxide Fuel Cell," Complexity, Hindawi, vol. 2018, pages 1-18, July.
    12. Calise, Francesco & Cappiello, Francesco Liberato & Cimmino, Luca & Dentice d’Accadia, Massimo & Vicidomini, Maria, 2023. "Renewable smart energy network: A thermoeconomic comparison between conventional lithium-ion batteries and reversible solid oxide fuel cells," Renewable Energy, Elsevier, vol. 214(C), pages 74-95.
    13. Damo, U.M. & Ferrari, M.L. & Turan, A. & Massardo, A.F., 2019. "Solid oxide fuel cell hybrid system: A detailed review of an environmentally clean and efficient source of energy," Energy, Elsevier, vol. 168(C), pages 235-246.
    14. Paola Costamagna & Simone Grosso & Rowland Travis & Loredana Magistri, 2015. "Integrated Planar Solid Oxide Fuel Cell: Steady-State Model of a Bundle and Validation through Single Tube Experimental Data," Energies, MDPI, vol. 8(11), pages 1-24, November.
    15. Xu, Haoran & Chen, Bin & Tan, Peng & Zhang, Houcheng & Yuan, Jinliang & Liu, Jiang & Ni, Meng, 2017. "Performance improvement of a direct carbon solid oxide fuel cell system by combining with a Stirling cycle," Energy, Elsevier, vol. 140(P1), pages 979-987.
    16. Zarabi Golkhatmi, Sanaz & Asghar, Muhammad Imran & Lund, Peter D., 2022. "A review on solid oxide fuel cell durability: Latest progress, mechanisms, and study tools," Renewable and Sustainable Energy Reviews, Elsevier, vol. 161(C).
    17. Rhushikesh Ghotkar & Ryan J. Milcarek, 2022. "Modeling of the Kinetic Factors in Flame-Assisted Fuel Cells," Sustainability, MDPI, vol. 14(7), pages 1-18, March.
    18. Ramadhani, F. & Hussain, M.A. & Mokhlis, H. & Hajimolana, S., 2017. "Optimization strategies for Solid Oxide Fuel Cell (SOFC) application: A literature survey," Renewable and Sustainable Energy Reviews, Elsevier, vol. 76(C), pages 460-484.
    19. Wang, Chaoyang & Chen, Ming & Liu, Ming & Yan, Junjie, 2020. "Dynamic modeling and parameter analysis study on reversible solid oxide cells during mode switching transient processes," Applied Energy, Elsevier, vol. 263(C).
    20. Barelli, L. & Bidini, G. & Ottaviano, A., 2017. "Integration of SOFC/GT hybrid systems in Micro-Grids," Energy, Elsevier, vol. 118(C), pages 716-728.

    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:appene:v:226:y:2018:i:c:p:570-581. 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.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    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.