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Dynamic analysis of a free piston Stirling engine working with closed and open thermodynamic cycles

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  • Karabulut, Halit

Abstract

In free piston Stirling engines the power generated by the engine is related to the length of the piston and displacer strokes. Length of strokes vary with respect to the hot end temperature, external load, charge pressure, rod diameter, stiffness of springs, masses of piston and displacer and static positions of the piston and displacer. When the length of displacer and piston strokes exceeds the estimated limits, some mechanical collisions occur between piston and displacer or displacer and cylinder. In this work, the dynamic model of a free piston Stirling engine working with closed and open thermodynamic cycles was derived and numerically solved for an optional pair of the piston and displacer masses. Safe ranges were investigated for the hot end temperature, charge pressure, damping coefficient of the piston motion, stiffness of the piston spring and area of the displacer rod. The stiffness of the displacer spring and static positions of the piston and displacer were optimized. Analysis indicated that, a free piston Stirling engine working with a closed thermodynamic cycle performs a stable operation within a small range of the hot end temperature and damping coefficient of the piston motion. By means of inverting the engine into an open-cycle engine, the limited range of the hot end temperature and the damping coefficient of the piston motion were partially enlarged.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:renene:v:36:y:2011:i:6:p:1704-1709
    DOI: 10.1016/j.renene.2010.12.006
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    References listed on IDEAS

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    Cited by:

    1. Campos, M.C. & Vargas, J.V.C. & Ordonez, J.C., 2012. "Thermodynamic optimization of a Stirling engine," Energy, Elsevier, vol. 44(1), pages 902-910.
    2. 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.
    3. 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.
    4. 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).
    5. García-Canseco, Eloísa & Alvarez-Aguirre, Alejandro & Scherpen, Jacquelien M.A., 2015. "Modeling for control of a kinematic wobble-yoke Stirling engine," Renewable Energy, Elsevier, vol. 75(C), pages 808-817.
    6. 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.
    7. Mou, Jian & Hong, Guotong, 2017. "Startup mechanism and power distribution of free piston Stirling engine," Energy, Elsevier, vol. 123(C), pages 655-663.
    8. 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).
    9. 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).
    10. Valenti, G. & Silva, P. & Fergnani, N. & Campanari, S. & Ravidà, A. & Di Marcoberardino, G. & Macchi, E., 2015. "Experimental and numerical study of a micro-cogeneration Stirling unit under diverse conditions of the working fluid," Applied Energy, Elsevier, vol. 160(C), pages 920-929.
    11. Luo, Zhongyang & Sultan, Umair & Ni, Mingjiang & Peng, Hao & Shi, Bingwei & Xiao, Gang, 2016. "Multi-objective optimization for GPU3 Stirling engine by combining multi-objective algorithms," Renewable Energy, Elsevier, vol. 94(C), pages 114-125.
    12. 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.
    13. 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.
    14. 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).
    15. 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).
    16. 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).
    17. Tlili, Iskander, 2012. "Finite time thermodynamic evaluation of endoreversible Stirling heat engine at maximum power conditions," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(4), pages 2234-2241.
    18. Zare, Shahryar & Tavakolpour-Saleh, A.R., 2020. "Predicting onset conditions of a free piston Stirling engine," Applied Energy, Elsevier, vol. 262(C).

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