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Optimization of geometrical parameters for Stirling engines based on theoretical analysis

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  • Cheng, Chin-Hsiang
  • Yang, Hang-Suin

Abstract

This study is aimed at theoretical analysis of the effects of the geometrical parameters on the shaft work of the Stirling engines. The optimal combination of the phase angle and the swept volume ratio, that leads to maximization of the shaft work of the engine, is obtained under different specified conditions. Effects of the effectiveness of mechanism, the dead volume ratio, and the temperature ratio on the maximum shaft work of the engine as well as the optimal combination of the phase angle and the swept volume ration are evaluated. Theoretical analysis of the performance of three types of Stirling engines, α-, β-, and γ-type, has also been carried out, and a comparison in relative performance among these three types of engines is attempted. Results show that for the particular cases considered in this study, the β-type Stirling engine produces highest shaft work and the γ-type engine the lowest. In general, the γ-type engine must be very mechanism effective so as to deliver sufficient shaft work. However, among the three types of engines, the γ-type engine is most capable of operating with low temperature difference. On the contrary, the α-type engine is particularly not suitable for the applications with low temperature difference since its dimensionless shaft work is found to gradually vanish as the temperature ratio is increased.

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  • Cheng, Chin-Hsiang & Yang, Hang-Suin, 2012. "Optimization of geometrical parameters for Stirling engines based on theoretical analysis," Applied Energy, Elsevier, vol. 92(C), pages 395-405.
    • Handle: RePEc:eee:appene:v:92:y:2012:i:c:p:395-405
    DOI: 10.1016/j.apenergy.2011.11.046
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    5. Cheng, Chin-Hsiang & Yang, Hang-Suin, 2013. "Theoretical model for predicting thermodynamic behavior of thermal-lag Stirling engine," Energy, Elsevier, vol. 49(C), pages 218-228.
    6. Cheng, Chin-Hsiang & Yang, Hang-Suin, 2014. "Optimization of rhombic drive mechanism used in beta-type Stirling engine based on dimensionless analysis," Energy, Elsevier, vol. 64(C), pages 970-978.
    7. Marion, Michaël & Louahlia, Hasna & Gualous, Hamid, 2016. "Performances of a CHP Stirling system fuelled with glycerol," Renewable Energy, Elsevier, vol. 86(C), pages 182-191.
    8. 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.
    9. 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.
    10. 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.
    11. Gheith, Ramla & Aloui, Fethi & Ben Nasrallah, Sassi, 2015. "Determination of adequate regenerator for a Gamma-type Stirling engine," Applied Energy, Elsevier, vol. 139(C), pages 272-280.
    12. Ziviani, Davide & Beyene, Asfaw & Venturini, Mauro, 2014. "Advances and challenges in ORC systems modeling for low grade thermal energy recovery," Applied Energy, Elsevier, vol. 121(C), pages 79-95.
    13. Cheng, Chin-Hsiang & Yang, Hang-Suin & Jhou, Bing-Yi & Chen, Yi-Cheng & Wang, Yu-Jen, 2013. "Dynamic simulation of thermal-lag Stirling engines," Applied Energy, Elsevier, vol. 108(C), pages 466-476.
    14. Yang, Hang-Suin & Cheng, Chin-Hsiang & Huang, Shang-Ting, 2018. "A complete model for dynamic simulation of a 1-kW class beta-type Stirling engine with rhombic-drive mechanism," Energy, Elsevier, vol. 161(C), pages 892-906.
    15. Cheng, Chin-Hsiang & Yang, Hang-Suin & Keong, Lam, 2013. "Theoretical and experimental study of a 300-W beta-type Stirling engine," Energy, Elsevier, vol. 59(C), pages 590-599.
    16. Yang, Hang-Suin & Zhu, Hao-Qiang & Xiao, Xian-Zhong, 2023. "Comparison of the dynamic characteristics and performance of beta-type Stirling engines operating with different driving mechanisms," Energy, Elsevier, vol. 275(C).
    17. Araoz, Joseph A. & Salomon, Marianne & Alejo, Lucio & Fransson, Torsten H., 2015. "Numerical simulation for the design analysis of kinematic Stirling engines," Applied Energy, Elsevier, vol. 159(C), pages 633-650.
    18. Wang, Kai & Dubey, Swapnil & Choo, Fook Hoong & Duan, Fei, 2016. "A transient one-dimensional numerical model for kinetic Stirling engine," Applied Energy, Elsevier, vol. 183(C), pages 775-790.
    19. Kato, Yoshitaka, 2017. "Indicated diagrams of low temperature differential Stirling engines with channel-shaped heat exchangers," Renewable Energy, Elsevier, vol. 103(C), pages 30-37.
    20. Tlili, I. & Vakkar, Ali, 2020. "Thermodynamic analysis and optimization of solar thermal engine: Performance enhancement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).

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