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Parametric investigation of the phase characteristics of a beta-type free piston Stirling engine based on a thermodynamic-dynamic coupled model

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  • Chen, Pengfan
  • Yang, Peng
  • Liu, Liu
  • Liu, Yingwen

Abstract

In this study, to reveal the phase characteristics of a beta-type free piston Stirling engine (β-FPSE), a thermodynamic-dynamic coupled model is proposed and verified experimentally. With the phasor notation method, the influences of the heating temperature, cooling temperature, spring stiffness and damping coefficients on the phases of displacer and power piston, and the output performance are investigated. The results indicate that the phase angles of the displacer and power piston increase with the heating temperature, and decrease with the cooling temperature. In the variation of power piston phase with its spring stiffness, a point of temperature independence (PTI) is identified. In the variation in the power piston phase with the displacer damping coefficient, a point of damping balance (PDB) is identified. A hysteresis of the PDB will occur if the heating temperature increases. In addition, the output power and power angle are obtained at the same damping coefficient of the displacer, which is equal to the displacer damping coefficient at the PDB if the spring stiffness ratio is less than 3.31. Moreover, based on the PV diagrams of different spring stiffness and damping coefficients, the compression ratio and pressure ratio for the optimum output power and efficiency are determined, respectively.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:energy:v:219:y:2021:i:c:s0360544220327651
    DOI: 10.1016/j.energy.2020.119658
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    References listed on IDEAS

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    1. 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).
    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, Shahryar, 2019. "An averaging-based Lyapunov technique to design thermal oscillators: A case study on free piston Stirling engine," Energy, Elsevier, vol. 189(C).
    4. 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).
    5. Ahmadi, Mohammad H. & Ahmadi, Mohammad-Ali & Pourfayaz, Fathollah, 2017. "Thermal models for analysis of performance of Stirling engine: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 68(P1), pages 168-184.
    6. de la Bat, B.J.G. & Harms, T.M. & Dobson, R.T. & Bell, A.J., 2020. "Derivation and numerical case study of a one-dimensional, compressible-flow model of a novel free-piston Stirling engine," Energy, Elsevier, vol. 199(C).
    7. 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.
    8. Mou, Jian & Hong, Guotong, 2017. "Startup mechanism and power distribution of free piston Stirling engine," Energy, Elsevier, vol. 123(C), pages 655-663.
    9. 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.
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    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).

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