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Predicting onset conditions of a free piston Stirling engine

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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).
    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.
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    Cited by:

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    8. 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.
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    11. 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).
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    14. 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).

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