IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v15y2022i14p5157-d864038.html
   My bibliography  Save this article

Fast Model Predictive Control of PEM Fuel Cell System Using the L 1 Norm

Author

Listed:
  • Robert Nebeluk

    (Institute of Control and Computation Engineering, Faculty of Electronics and Information Technology, Warsaw University of Technology, ul. Nowowiejska 15/19, 00-665 Warsaw, Poland)

  • Maciej Ławryńczuk

    (Institute of Control and Computation Engineering, Faculty of Electronics and Information Technology, Warsaw University of Technology, ul. Nowowiejska 15/19, 00-665 Warsaw, Poland)

Abstract

This work describes the development of a fast Model Predictive Control (MPC) algorithm for a Proton Exchange Membrane (PEM) fuel cell. The MPC cost-function used considers the sum of absolute values of predicted control errors (the L 1 norm). Unlike previous approaches to nonlinear MPC-L 1 , in which quite complicated neural approximators have been used, two analytical approximators of the absolute value function are utilised. An advanced trajectory linearisation is performed on-line. As a result, an easy-to-solve quadratic optimisation task is derived. All implementation details of the discussed algorithm are detailed for two considered approximators. Furthermore, the algorithm is thoroughly compared with the classical MPC-L 2 method in which the sum of squared predicted control errors is minimised. A multi-criteria control quality assessment is performed as the MPC-L 1 and MPC-L 2 algorithms are compared using four control quality indicators. It is shown that the presented MPC-L 1 scheme gives better results for the PEM.

Suggested Citation

  • Robert Nebeluk & Maciej Ławryńczuk, 2022. "Fast Model Predictive Control of PEM Fuel Cell System Using the L 1 Norm," Energies, MDPI, vol. 15(14), pages 1-17, July.
  • Handle: RePEc:gam:jeners:v:15:y:2022:i:14:p:5157-:d:864038
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/15/14/5157/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/15/14/5157/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mohamed Derbeli & Asma Charaabi & Oscar Barambones & Cristian Napole, 2021. "High-Performance Tracking for Proton Exchange Membrane Fuel Cell System PEMFC Using Model Predictive Control," Mathematics, MDPI, vol. 9(11), pages 1-17, May.
    2. Sara Luciani & Andrea Tonoli, 2022. "Control Strategy Assessment for Improving PEM Fuel Cell System Efficiency in Fuel Cell Hybrid Vehicles," Energies, MDPI, vol. 15(6), pages 1-17, March.
    3. Jing Chen & Chenghui Zhang & Ke Li & Yuedong Zhan & Bo Sun, 2020. "Hybrid Adaptive Control for PEMFC Gas Pressure," Energies, MDPI, vol. 13(20), pages 1-13, October.
    4. Martin Vrlić & Daniel Ritzberger & Stefan Jakubek, 2020. "Safe and Efficient Polymer Electrolyte Membrane Fuel Cell Control Using Successive Linearization Based Model Predictive Control Validated on Real Vehicle Data," Energies, MDPI, vol. 13(20), pages 1-16, October.
    5. Jonas Schröter & Daniel Frank & Valentin Radke & Christiane Bauer & Josef Kallo & Caroline Willich, 2022. "Influence of Low Inlet Pressure and Temperature on the Compressor Map Limits of Electrical Turbo Chargers for Airborne Fuel Cell Applications," Energies, MDPI, vol. 15(8), pages 1-13, April.
    6. Yin, Cong & Song, Yating & Liu, Meiru & Gao, Yan & Li, Kai & Qiao, Zemin & Tang, Hao, 2022. "Investigation of proton exchange membrane fuel cell stack with inversely phased wavy flow field design," Applied Energy, Elsevier, vol. 305(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. Reza Ghasemi & Mehdi Sedighi & Mostafa Ghasemi & Bita Sadat Ghazanfarpoor, 2023. "Design of a Fuzzy Adaptive Voltage Controller for a Nonlinear Polymer Electrolyte Membrane Fuel Cell with an Unknown Dynamical System," Sustainability, MDPI, vol. 15(18), pages 1-15, September.

    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. Hossein Pourrahmani & Hamed Shakeri & Jan Van herle, 2022. "Thermoelectric Generator as the Waste Heat Recovery Unit of Proton Exchange Membrane Fuel Cell: A Numerical Study," Energies, MDPI, vol. 15(9), pages 1-21, April.
    2. Hu, Haowen & Ou, Kai & Yuan, Wei-Wei, 2023. "Fused multi-model predictive control with adaptive compensation for proton exchange membrane fuel cell air supply system," Energy, Elsevier, vol. 284(C).
    3. Manfred Dollinger & Gerhard Fischerauer, 2023. "Physics-Based Prediction for the Consumption and Emissions of Passenger Vehicles and Light Trucks up to 2050," Energies, MDPI, vol. 16(8), pages 1-29, April.
    4. Li, Da & Zhang, Zhaosheng & Zhou, Litao & Liu, Peng & Wang, Zhenpo & Deng, Junjun, 2022. "Multi-time-step and multi-parameter prediction for real-world proton exchange membrane fuel cell vehicles (PEMFCVs) toward fault prognosis and energy consumption prediction," Applied Energy, Elsevier, vol. 325(C).
    5. Tri-Cuong Do & Hoai-An Trinh & Kyoung-Kwan Ahn, 2023. "Hierarchical Control Strategy with Battery Dynamic Consideration for a Dual Fuel Cell/Battery Tramway," Mathematics, MDPI, vol. 11(10), pages 1-19, May.
    6. Rahmani, Ebrahim & Moradi, Tofigh & Ghandehariun, Samane & Naterer, Greg F. & Ranjbar, Amirhossein, 2023. "Enhanced mass transfer and water discharge in a proton exchange membrane fuel cell with a raccoon channel flow field," Energy, Elsevier, vol. 264(C).
    7. Hu, Jianjun & Wang, Yangguang & Zou, Lingbo & Wang, Zhouxin, 2023. "Adaptive rule control strategy for composite energy storage fuel cell vehicle based on vehicle operating state recognition," Renewable Energy, Elsevier, vol. 204(C), pages 166-175.
    8. Shantanu Pardhi & Sajib Chakraborty & Dai-Duong Tran & Mohamed El Baghdadi & Steven Wilkins & Omar Hegazy, 2022. "A Review of Fuel Cell Powertrains for Long-Haul Heavy-Duty Vehicles: Technology, Hydrogen, Energy and Thermal Management Solutions," Energies, MDPI, vol. 15(24), pages 1-55, December.
    9. Huang, Haozhong & Liu, Mingxin & Li, Xuan & Guo, Xiaoyu & Wang, Tongying & Li, Songwei & Lei, Han, 2022. "Numerical simulation and visualization study of a new tapered-slope serpentine flow field in proton exchange membrane fuel cell," Energy, Elsevier, vol. 246(C).
    10. Tino Vidović & Ivan Tolj & Gojmir Radica & Natalia Bodrožić Ćoko, 2022. "Proton-Exchange Membrane Fuel Cell Balance of Plant and Performance Simulation for Vehicle Applications," Energies, MDPI, vol. 15(21), pages 1-14, October.
    11. Lopez-Juarez, M. & Rockstroh, T. & Novella, R. & Vijayagopal, R., 2024. "A methodology to develop multi-physics dynamic fuel cell system models validated with vehicle realistic drive cycle data," Applied Energy, Elsevier, vol. 358(C).
    12. Sarjuni, C.A. & Lim, B.H. & Majlan, E.H. & Rosli, M.I., 2024. "A review: Fluid dynamic and mass transport behaviour in a proton exchange membrane fuel cell stack," Renewable and Sustainable Energy Reviews, Elsevier, vol. 193(C).
    13. Jiang, Ke & Zhao, Taotao & Fan, Wenxuan & Liu, Zhenning & Lu, Guolong, 2023. "Ramped step flow field to enhance mass transfer capacity and performance for PEMFC," Renewable Energy, Elsevier, vol. 219(P2).
    14. Wu, Zhicong & Xu, Gang & Zhang, Wentao & Xue, Xiaojun & Chen, Heng, 2023. "Thermodynamic and economic analysis of a new methanol steam reforming system integrated with CO2 heat pump and cryogenic separation system," Energy, Elsevier, vol. 283(C).
    15. Muhammad Majid Gulzar, 2023. "Maximum Power Point Tracking of a Grid Connected PV Based Fuel Cell System Using Optimal Control Technique," Sustainability, MDPI, vol. 15(5), pages 1-18, February.
    16. Yin, Cong & Yang, Haiyu & Liu, Yu & Wen, Xuhui & Xie, Guangyou & Wang, Renkang & Tang, Hao, 2023. "Numerical and experimental investigations on internal humidifying designs for proton exchange membrane fuel cell stack," Applied Energy, Elsevier, vol. 348(C).
    17. Fan, Lixin & Tu, Zhengkai & Chan, Siew Hwa, 2022. "Technological and Engineering design of a megawatt proton exchange membrane fuel cell system," Energy, Elsevier, vol. 257(C).
    18. Gong, Zhichao & Wang, Bowen & Xu, Yifan & Ni, Meng & Gao, Qingchen & Hou, Zhongjun & Cai, Jun & Gu, Xin & Yuan, Xinjie & Jiao, Kui, 2022. "Adaptive optimization strategy of air supply for automotive polymer electrolyte membrane fuel cell in life cycle," Applied Energy, Elsevier, vol. 325(C).
    19. Zhu, Kai-Qi & Ding, Quan & Zhang, Ben-Xi & Xu, Jiang-Hai & Li, Dan-Dan & Yang, Yan-Ru & Lee, Duu-Jong & Wan, Zhong-Min & Wang, Xiao-Dong, 2024. "Performance enhancement of air-cooled PEMFC stack by employing tapered oblique fin channels: Experimental study of a full stack and numerical analysis of a typical single cell," Applied Energy, Elsevier, vol. 358(C).
    20. Javaid, Usman & Mehmood, Adeel & Iqbal, Jamshed & Uppal, Ali Arshad, 2023. "Neural network and URED observer based fast terminal integral sliding mode control for energy efficient polymer electrolyte membrane fuel cell used in vehicular technologies," Energy, Elsevier, vol. 269(C).

    More about this item

    Keywords

    proton exchange membrane fuel cell; model predictive control; optimisation; L1 cost function;
    All these keywords.

    JEL classification:

    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

    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:gam:jeners:v:15:y:2022:i:14:p:5157-:d:864038. 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.