IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v262y2020ics0306261919321762.html
   My bibliography  Save this article

Predicting onset conditions of a free piston Stirling engine

Author

Listed:
  • Zare, Shahryar
  • Tavakolpour-Saleh, A.R.

Abstract

This research predicts the onset conditions of the free piston Stirling engines using analytical solution of the governing equations and averaging-based Lyapunov technique. In this regard, firstly, the linear dynamic equations of the free piston Stirling engines are extracted. Then, the analytical solutions of the motion equations of the displacer and the power pistons are obtained. Afterwards, these analytical solutions are put into the mean value of the time derivative of Lyapunov function to obtain a convenient relation which provides meaningful information regarding the onset condition of free piston Stirling engines. The mentioned procedure has been verified by the results of multiple numerical simulations and the experimental data (B10-B and SUTech-SR-1). In addition, the results of this method have been validated by the outcomes obtained from the state-space technique. Lastly, by comparing the results of the simulation works and the experiments, it has been confirmed that this method is capable of precisely predicting the onset condition of free piston Stirling engines. Besides, the proposed approach could be used as a powerful tool to predict the behavior of various free piston Stirling engines regardless of whether they meet the onset condition or not.

Suggested Citation

  • Zare, Shahryar & Tavakolpour-Saleh, A.R., 2020. "Predicting onset conditions of a free piston Stirling engine," Applied Energy, Elsevier, vol. 262(C).
    • Handle: RePEc:eee:appene:v:262:y:2020:i:c:s0306261919321762
    DOI: 10.1016/j.apenergy.2019.114488
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261919321762
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.apenergy.2019.114488?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. Tavakolpour-Saleh, A.R. & Zare, SH. & Bahreman, H., 2017. "A novel active free piston Stirling engine: Modeling, development, and experiment," Applied Energy, Elsevier, vol. 199(C), pages 400-415.
    2. Wu, Zhanghua & Yu, Guoyao & Zhang, Limin & Dai, Wei & Luo, Ercang, 2014. "Development of a 3kW double-acting thermoacoustic Stirling electric generator," Applied Energy, Elsevier, vol. 136(C), pages 866-872.
    3. Karabulut, Halit, 2011. "Dynamic analysis of a free piston Stirling engine working with closed and open thermodynamic cycles," Renewable Energy, Elsevier, vol. 36(6), pages 1704-1709.
    4. 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).
    5. Zare, Sh. & Tavakolpour-Saleh, A.R., 2016. "Frequency-based design of a free piston Stirling engine using genetic algorithm," Energy, Elsevier, vol. 109(C), pages 466-480.
    6. Mou, Jian & Hong, Guotong, 2017. "Startup mechanism and power distribution of free piston Stirling engine," Energy, Elsevier, vol. 123(C), pages 655-663.
    7. 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.
    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. 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).
    2. Tavakolpour-Saleh, A.R., 2021. "A novel theorem on motion stability," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    3. Yun Sun & Hongxin Zhang & Zhen Liang & Jian Yang, 2021. "Design Optimization of Electrodynamic Structure of Permanent Magnet Piston Mechanical Electric Engine," Energies, MDPI, vol. 14(19), pages 1-20, October.
    4. 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.
    5. 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).
    6. Yang, Rui & Wang, Junxiang & Luo, Ercang, 2023. "Revisiting the evaporative Stirling engine: The mechanism and a case study via thermoacoustic theory," Energy, Elsevier, vol. 273(C).
    7. Li, Mingqiang & Ngwaka, Ugochukwu & Moeini Korbekandi, Ramin & Baker, Nick & Wu, Dawei & Tsolakis, Athanasios, 2023. "A closed-loop linear engine generator using inert gases: A performance and exergy study," Energy, Elsevier, vol. 281(C).
    8. Yuan, Chenheng & He, Lei & Zhou, Lifu, 2022. "Numerical simulation of the effect of spring dynamics on the combustion of free piston linear engine," Energy, Elsevier, vol. 254(PA).
    9. 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).
    10. Lan, Song & Li, Qingshan & Guo, Xin & Wang, Shukun & Chen, Rui, 2023. "Fuel saving potential analysis of bifunctional vehicular waste heat recovery system using thermoelectric generator and organic Rankine cycle," Energy, Elsevier, vol. 263(PB).
    11. 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).
    12. Chouder, Ryma & Benabdesselam, Azzedine & Stouffs, Pascal, 2023. "Modeling results of a new high performance free liquid piston engine," Energy, Elsevier, vol. 263(PD).
    13. 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).
    14. Dan-Adrian Mocanu & Viorel Bădescu & Ciprian Bucur & Iuliana Ștefan & Elena Carcadea & Maria Simona Răboacă & Ioana Manta, 2020. "PLC Automation and Control Strategy in a Stirling Solar Power System," Energies, MDPI, vol. 13(8), pages 1-19, April.

    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. 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.
    3. 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).
    4. 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).
    5. Zare, Shahryar & Tavakolpour-Saleh, Alireza & Shourangiz-Haghighi, Alireza & Binazadeh, Tahereh, 2019. "Assessment of damping coefficients ranges in design of a free piston Stirling engine: Simulation and experiment," Energy, Elsevier, vol. 185(C), pages 633-643.
    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., 2021. "A novel theorem on motion stability," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    8. 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).
    9. 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).
    10. Tavakolpour-Saleh, A.R. & Zare, SH. & Bahreman, H., 2017. "A novel active free piston Stirling engine: Modeling, development, and experiment," Applied Energy, Elsevier, vol. 199(C), pages 400-415.
    11. Mou, Jian & Hong, Guotong, 2017. "Startup mechanism and power distribution of free piston Stirling engine," Energy, Elsevier, vol. 123(C), pages 655-663.
    12. Masoumi, A.P. & Tavakolpour-Saleh, A.R., 2020. "Experimental assessment of damping and heat transfer coefficients in an active free piston Stirling engine using genetic algorithm," Energy, Elsevier, vol. 195(C).
    13. Masoumi, A.P. & Tavakolpour-Saleh, A.R. & Rahideh, A., 2020. "Applying a genetic-fuzzy control scheme to an active free piston Stirling engine: Design and experiment," Applied Energy, Elsevier, vol. 268(C).
    14. Remiorz, Leszek & Kotowicz, Janusz & Uchman, Wojciech, 2018. "Comparative assessment of the effectiveness of a free-piston Stirling engine-based micro-cogeneration unit and a heat pump," Energy, Elsevier, vol. 148(C), pages 134-147.
    15. Yousefzadeh, H. & Tavakolpour-Saleh, A.R., 2021. "A novel unified dynamic-thermodynamic method for estimating damping and predicting performance of kinematic Stirling engines," Energy, Elsevier, vol. 224(C).
    16. Jacek Kropiwnicki & Mariusz Furmanek, 2020. "A Theoretical and Experimental Study of Moderate Temperature Alfa Type Stirling Engines," Energies, MDPI, vol. 13(7), pages 1-21, April.
    17. 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.
    18. Ayodeji Sowale & Edward J. Anthony & Athanasios John Kolios, 2018. "Optimisation of a Quasi-Steady Model of a Free-Piston Stirling Engine," Energies, MDPI, vol. 12(1), pages 1-17, December.
    19. 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.
    20. de la Bat, B.J.G. & Dobson, R.T. & Harms, T.M. & Bell, A.J., 2020. "Simulation, manufacture and experimental validation of a novel single-acting free-piston Stirling engine electric generator," Applied Energy, Elsevier, vol. 263(C).

    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:262:y:2020:i:c:s0306261919321762. 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.