IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v16y2023i15p5651-d1203960.html
   My bibliography  Save this article

A Surrogate Model of the Butler-Volmer Equation for the Prediction of Thermodynamic Losses of Solid Oxide Fuel Cell Electrode

Author

Listed:
  • Szymon Buchaniec

    (Department of Fundamental Research in Energy Engineering, AGH University of Krakow, 30-059 Krakow, Poland)

  • Marek Gnatowski

    (Department of Fundamental Research in Energy Engineering, AGH University of Krakow, 30-059 Krakow, Poland)

  • Hiroshi Hasegawa

    (Department of Machinery and Control Systems, Shibaura Institute of Technology, Tokyo 135-8548, Japan)

  • Grzegorz Brus

    (Department of Fundamental Research in Energy Engineering, AGH University of Krakow, 30-059 Krakow, Poland)

Abstract

Solid oxide fuel cells are becoming increasingly important in various applications, from households to large-scale power plants. However, these electrochemical energy conversion devices have complex behavior that is difficult to understand and optimize. A numerical simulation is a primary tool for analysis and optimization-design. One of the most significant challenges in this field is improving microscale transport phenomena and electrode reaction models. Two main categories of simulation are black-box and white-box models. The former requires large experimental datasets and lacks physical constraints, while the latter inherits the inaccuracy of typical electrochemical reaction models. Here we show a micro-scale artificial neural network-supported numerical simulation that allows for overcoming those issues. In our research, we substituted one equation in the system, an electrochemical model, with an artificial neural network prediction. The data-driven prediction is constrained and must satisfy all reminded balance equations in the system. The results show that the proposed model can simulate an anode-electrode’s thermodynamic losses with improved accuracy compared with the classical approach. The coefficient of determination R 2 for the proposed model was equal to 0.8810 for 800 °C, 0.8720 for 900 °C, and 0.8436 for 1000 °C. The findings open a way for improving the accuracy and computational complexity of electrochemical models in solid oxide fuel cell simulations.

Suggested Citation

  • Szymon Buchaniec & Marek Gnatowski & Hiroshi Hasegawa & Grzegorz Brus, 2023. "A Surrogate Model of the Butler-Volmer Equation for the Prediction of Thermodynamic Losses of Solid Oxide Fuel Cell Electrode," Energies, MDPI, vol. 16(15), pages 1-12, July.
  • Handle: RePEc:gam:jeners:v:16:y:2023:i:15:p:5651-:d:1203960
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/16/15/5651/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/16/15/5651/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Szymon Buchaniec & Marek Gnatowski & Grzegorz Brus, 2021. "Integration of Classical Mathematical Modeling with an Artificial Neural Network for the Problems with Limited Dataset," Energies, MDPI, vol. 14(16), pages 1-23, August.
    2. Tomasz A. Prokop & Grzegorz Brus & Shinji Kimijima & Janusz S. Szmyd, 2020. "Thin Solid Film Electrolyte and Its Impact on Electrode Polarization in Solid Oxide Fuel Cells Studied by Three-Dimensional Microstructure-Scale Numerical Simulation," Energies, MDPI, vol. 13(19), pages 1-14, October.
    3. 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.
    4. Karol K. Śreniawski & Marcin Moździerz & Grzegorz Brus & Janusz S. Szmyd, 2023. "Transport Phenomena in a Banded Solid Oxide Fuel Cell Stack—Part 2: Numerical Analysis," Energies, MDPI, vol. 16(11), pages 1-21, June.
    Full references (including those not matched with items on IDEAS)

    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. 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. 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.
    3. Zhang, Yidan & Zhu, Ankang & Guo, Youmin & Wang, Chunchang & Ni, Meng & Yu, Hao & Zhang, Chuanhui & Shao, Zongping, 2019. "Electrochemical performance and effect of moisture on Ba0.5Sr0.5Sc0.175Nb0.025Co0.8O3-δ oxide as a promising electrode for proton-conducting solid oxide fuel cells," Applied Energy, Elsevier, vol. 238(C), pages 344-350.
    4. Fan, Liyuan & Li, Chao'en & van Biert, Lindert & Zhou, Shou-Han & Tabish, Asif Nadeem & Mokhov, Anatoli & Aravind, Purushothaman Vellayani & Cai, Weiwei, 2022. "Advances on methane reforming in solid oxide fuel cells," Renewable and Sustainable Energy Reviews, Elsevier, vol. 166(C).
    5. 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.
    6. Wu, Zhen & Tan, Peng & Chen, Bin & Cai, Weizi & Chen, Meina & Xu, Xiaoming & Zhang, Zaoxiao & Ni, Meng, 2019. "Dynamic modeling and operation strategy of an NG-fueled SOFC-WGS-TSA-PEMFC hybrid energy conversion system for fuel cell vehicle by using MATLAB/SIMULINK," Energy, Elsevier, vol. 175(C), pages 567-579.
    7. 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.
    8. Thieu, Cam-Anh & Ji, Ho-Il & Kim, Hyoungchul & Yoon, Kyung Joong & Lee, Jong-Ho & Son, Ji-Won, 2019. "Palladium incorporation at the anode of thin-film solid oxide fuel cells and its effect on direct utilization of butane fuel at 600 °C," Applied Energy, Elsevier, vol. 243(C), pages 155-164.
    9. Hongchuan Qin & Zhonghua Deng & Xi Li, 2022. "Cooperative Control of a Steam Reformer Solid Oxide Fuel Cell System for Stable Reformer Operation," Energies, MDPI, vol. 15(9), pages 1-14, May.
    10. 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.
    11. Maciej Chalusiak & Weronika Nawrot & Szymon Buchaniec & Grzegorz Brus, 2021. "Swarm Intelligence-Based Methodology for Scanning Electron Microscope Image Segmentation of Solid Oxide Fuel Cell Anode," Energies, MDPI, vol. 14(11), pages 1-17, May.
    12. 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.
    13. Wu, Zhen & Zhu, Pengfei & Yao, Jing & Tan, Peng & Xu, Haoran & Chen, Bin & Yang, Fusheng & Zhang, Zaoxiao & Ni, Meng, 2020. "Thermo-economic modeling and analysis of an NG-fueled SOFC-WGS-TSA-PEMFC hybrid energy conversion system for stationary electricity power generation," Energy, Elsevier, vol. 192(C).
    14. Rana Yousif & Aref Jeribi & Saad Al-Azzawi, 2023. "Fractional-Order SEIRD Model for Global COVID-19 Outbreak," Mathematics, MDPI, vol. 11(4), pages 1-19, February.
    15. Wang, Yuqing & Wehrle, Lukas & Banerjee, Aayan & Shi, Yixiang & Deutschmann, Olaf, 2021. "Analysis of a biogas-fed SOFC CHP system based on multi-scale hierarchical modeling," Renewable Energy, Elsevier, vol. 163(C), pages 78-87.
    16. Jianmin Zheng & Liusheng Xiao & Mingtao Wu & Shaocheng Lang & Zhonggang Zhang & Ming Chen & Jinliang Yuan, 2022. "Numerical Analysis of Thermal Stress for a Stack of Planar Solid Oxide Fuel Cells," Energies, MDPI, vol. 15(1), pages 1-18, January.
    17. 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.

    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:16:y:2023:i:15:p:5651-:d:1203960. 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.