IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v320y2025ics036054422501059x.html

Multi-domain physical modeling and dynamic performance analysis of a free-piston Stirling generator

Author

Listed:
  • Zhu, Qilu
  • Zhang, Limin
  • Chen, Yuanhang
  • Luo, Jing
  • Hu, Jianying
  • Luo, Ercang

Abstract

Free-piston Stirling generators (FPSGs) are regarded as a promising energy conversion technology for their reliable and highly efficient operation. Given the complexity of the coupled dynamic and thermodynamic processes, an accurate and fast dynamic model is crucial for the design and analysis of FPSGs. In this study, a time-domain physical model of an FPSG is developed using MATLAB Simulink® and its Simscape™ software package. Model validation shows that the average deviations between the simulation results and experimental data in steady state are 2.5 % for electric power and 13.4 % for thermal-to-electric efficiency. Then, the dynamic performance of the FPSG is investigated, including the piston offset, operating characteristics with and without clearance seals, onset processes for cold and hot start-ups, and dynamic response to load change. Furthermore, the FPSG is connected to a controller employing a hysteresis current control strategy, and the relevant transient behavior is analyzed. The power piston stroke of the FPSG can be maintained at the desired value, and a unit power factor is achieved without the need for the tuning capacitor. The proposed multi-domain modeling and dynamic analysis approach demonstrates sufficient accuracy and versatility, as well as ease of use for guiding experiments and controller design for FPSGs.

Suggested Citation

  • Zhu, Qilu & Zhang, Limin & Chen, Yuanhang & Luo, Jing & Hu, Jianying & Luo, Ercang, 2025. "Multi-domain physical modeling and dynamic performance analysis of a free-piston Stirling generator," Energy, Elsevier, vol. 320(C).
  • Handle: RePEc:eee:energy:v:320:y:2025:i:c:s036054422501059x
    DOI: 10.1016/j.energy.2025.135417
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S036054422501059X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.energy.2025.135417?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Chen, Pengfan & Zhong, Geyu & Niu, Yafeng & Liu, Yingwen, 2022. "Performance optimization of a free piston stirling engine using multi-section regenerators based on the response surface methodology," Energy, Elsevier, vol. 261(PB).
    2. Xiao, Lei & Luo, Kaiqi & Hu, Jianying & Jia, Zilong & Chen, Geng & Xu, Jingyuan & Luo, Ercang, 2023. "Transient and steady performance analysis of a free-piston Stirling generator," Energy, Elsevier, vol. 273(C).
    3. Sun, Haojie & Yu, Guoyao & Dai, Wei & Zhang, Limin & Luo, Ercang, 2022. "Dynamic and thermodynamic characterization of a resonance tube-coupled free-piston Stirling engine-based combined cooling and power system," Applied Energy, Elsevier, vol. 322(C).
    4. Ye, Wenlian & Wang, Xiaojun & Liu, Yingwen, 2020. "Application of artificial neural network for predicting the dynamic performance of a free piston Stirling engine," Energy, Elsevier, vol. 194(C).
    5. Sinsel, Simon R. & Riemke, Rhea L. & Hoffmann, Volker H., 2020. "Challenges and solution technologies for the integration of variable renewable energy sources—a review," Renewable Energy, Elsevier, vol. 145(C), pages 2271-2285.
    6. Zare, Shahryar & Tavakolpour-Saleh, A.R. & Binazadeh, T., 2023. "Analytical investigation of free piston Stirling engines using practical stability method," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    7. Tavakolpour-Saleh, A.R. & Zare, Shahryar, 2019. "An averaging-based Lyapunov technique to design thermal oscillators: A case study on free piston Stirling engine," Energy, Elsevier, vol. 189(C).
    8. Schneider, T. & Müller, D. & Karl, J., 2020. "A review of thermochemical biomass conversion combined with Stirling engines for the small-scale cogeneration of heat and power," Renewable and Sustainable Energy Reviews, Elsevier, vol. 134(C).
    9. Qiu, Songgang & Gao, Yuan & Rinker, Garrett & Yanaga, Koji, 2019. "Development of an advanced free-piston Stirling engine for micro combined heating and power application," Applied Energy, Elsevier, vol. 235(C), pages 987-1000.
    10. Zare, Shahryar & Tavakolpour-Saleh, A.R., 2020. "Predicting onset conditions of a free piston Stirling engine," Applied Energy, Elsevier, vol. 262(C).
    11. Tavakolpour-Saleh, A.R. & Zare, Sh. & Omidvar, A., 2016. "Applying perturbation technique to analysis of a free piston Stirling engine possessing nonlinear springs," Applied Energy, Elsevier, vol. 183(C), pages 526-541.
    12. Ferreira, Ana Cristina & Silva, João & Teixeira, Senhorinha & Teixeira, José Carlos & Nebra, Silvia Azucena, 2020. "Assessment of the Stirling engine performance comparing two renewable energy sources: Solar energy and biomass," Renewable Energy, Elsevier, vol. 154(C), pages 581-597.
    13. Ferreira, Ana C. & Nunes, Manuel L. & Teixeira, José C.F. & Martins, Luís A.S.B. & Teixeira, Senhorinha F.C.F., 2016. "Thermodynamic and economic optimization of a solar-powered Stirling engine for micro-cogeneration purposes," Energy, Elsevier, vol. 111(C), pages 1-17.
    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. Zare, Shahryar & Tavakolpour-saleh, A.R. & Aghahosseini, A. & Sangdani, M.H. & Mirshekari, Reza, 2021. "Design and optimization of Stirling engines using soft computing methods: A review," Applied Energy, Elsevier, vol. 283(C).
    2. Carmela Perozziello & Lavinia Grosu & Bianca Maria Vaglieco, 2021. "Free-Piston Stirling Engine Technologies and Models: A Review," Energies, MDPI, vol. 14(21), pages 1-22, October.
    3. Zhang, Yuhao & Liao, Yusheng & Qu, Yuanshu & Liu, Jingwen & Lu, Daogang & Xia, Yan & Ou, Xuedong, 2025. "Dynamic thermal characteristics analysis of integrated space nuclear reactor with core and Stirling power conversion components," Energy, Elsevier, vol. 315(C).
    4. Tavakolpour-Saleh, A.R., 2021. "A novel theorem on motion stability," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    5. Zhu, Shunmin & Yu, Guoyao & Liang, Kun & Dai, Wei & Luo, Ercang, 2021. "A review of Stirling-engine-based combined heat and power technology," Applied Energy, Elsevier, vol. 294(C).
    6. Ștefan-Dominic Voronca & Monica Siroux & George Darie, 2022. "Experimental Characterization of Transitory Functioning Regimes of a Biomass Stirling Micro-CHP," Energies, MDPI, vol. 15(15), pages 1-23, July.
    7. Wang, Jiayu & Liu, Chang & Feng, Huihua & Jia, Boru & Zhang, Zhiyuan & Wei, Yidi, 2024. "Transient dynamic cycle evolution and thermodynamic performance analysis of a free-piston engine generator," Energy, Elsevier, vol. 313(C).
    8. Sangdani, M.H. & Tavakolpour-Saleh, A.R., 2025. "Assessment of frequency and stroke in three-stage liquid-piston thermoacoustic Stirling engines via a new approach: Analysis and experiment," Energy, Elsevier, vol. 315(C).
    9. Wang, Jiayu & Feng, Huihua & Wei, Yidi & Ma, Yuguo & Jia, Boru & Wei, Shuojian & Xu, Lei & Lin, Haitao, 2025. "Enhancing energy efficiency of free-piston engine generator through the controllable cycle method: Analysis of energy gain and consumption," Applied Energy, Elsevier, vol. 392(C).
    10. Tavakolpour-Saleh, A.R. & Zare, Shahryar, 2021. "Justifying performance of thermo-acoustic Stirling engines based on a novel lumped mechanical model," Energy, Elsevier, vol. 227(C).
    11. Chen, Pengfan & Yang, Peng & Liu, Liu & Liu, Yingwen, 2021. "Parametric investigation of the phase characteristics of a beta-type free piston Stirling engine based on a thermodynamic-dynamic coupled model," Energy, Elsevier, vol. 219(C).
    12. Zare, Shahryar & Tavakolpour-Saleh, A.R. & Binazadeh, T., 2023. "Analytical investigation of free piston Stirling engines using practical stability method," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    13. Bataineh, Khaled, 2024. "Hybrid fuel-assisted solar-powered stirling engine for combined cooling, heating, and power systems: A review," Energy, Elsevier, vol. 300(C).
    14. Zhu, Shunmin & Yu, Guoyao & O, Jongmin & Xu, Tao & Wu, Zhanghua & Dai, Wei & Luo, Ercang, 2018. "Modeling and experimental investigation of a free-piston Stirling engine-based micro-combined heat and power system," Applied Energy, Elsevier, vol. 226(C), pages 522-533.
    15. Montazerinejad, H. & Eicker, U., 2022. "Recent development of heat and power generation using renewable fuels: A comprehensive review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 165(C).
    16. Zare, Shahryar & Tavakolpour-Saleh, A.R., 2020. "Predicting onset conditions of a free piston Stirling engine," Applied Energy, Elsevier, vol. 262(C).
    17. David García & María-José Suárez & Eduardo Blanco & Jesús-Ignacio Prieto, 2022. "Experimental and Numerical Characterisation of a Non-Tubular Stirling Engine Heater for Biomass Applications," Sustainability, MDPI, vol. 14(24), pages 1-17, December.
    18. Sun, Haojie & Yu, Guoyao & Zhao, Dan & Dai, Wei & Luo, Ercang, 2023. "Thermoacoustic hysteresis of a free-piston Stirling electric generator," Energy, Elsevier, vol. 280(C).
    19. Xiao, Wang & Chen, Lei & Yu, Guoyao & Ma, Zhuang & Ma, Ying & Xue, Jianhua & Cheng, Yangbin & Luo, Ercang, 2024. "Design and experimental study of a 300 We class combustion-driven high frequency free-piston Stirling electric generator," Energy, Elsevier, vol. 300(C).
    20. Sun, Haojie & Yu, Guoyao & Dai, Wei & Zhang, Limin & Luo, Ercang, 2022. "Dynamic and thermodynamic characterization of a resonance tube-coupled free-piston Stirling engine-based combined cooling and power system," Applied Energy, Elsevier, vol. 322(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:eee:energy:v:320:y:2025:i:c:s036054422501059x. 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.