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Dynamic simulation of a beta-type Stirling engine with cam-drive mechanism via the combination of the thermodynamic and dynamic models

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  • Cheng, Chin-Hsiang
  • Yu, Ying-Ju

Abstract

Dynamic simulation of a beta-type Stirling engine with cam-drive mechanism used in concentrating solar power system has been performed. A dynamic model of the mechanism is developed and then incorporated with the thermodynamic model so as to predict the transient behavior of the engine in the hot-start period. In this study, the engine is started from an initial rotational speed. The torques exerted by the flywheel of the engine at any time instant can be calculated by the dynamic model as long as the gas pressures in the chambers, the mass inertia, the friction force, and the external load have been evaluated. The instantaneous rotation speed of the engine is then determined by integration of the equation of rotational motion with respect to time, which in return affects the instantaneous variations in pressure and other thermodynamic properties of the gas inside the chambers. Therefore, the transient variations in gas properties inside the engine chambers and the dynamic behavior of the engine mechanism should be handled simultaneously via the coupling of the thermodynamic and dynamic models. An extensive parametric study of the effects of different operating and geometrical parameters has been performed, and results regarding the effects of mass moment of inertia of the flywheel, initial rotational speed, initial charged pressure, heat source temperature, phase angle, gap size, displacer length, and piston stroke on the engine transient behavior are investigated.

Suggested Citation

  • Cheng, Chin-Hsiang & Yu, Ying-Ju, 2011. "Dynamic simulation of a beta-type Stirling engine with cam-drive mechanism via the combination of the thermodynamic and dynamic models," Renewable Energy, Elsevier, vol. 36(2), pages 714-725.
    • Handle: RePEc:eee:renene:v:36:y:2011:i:2:p:714-725
    DOI: 10.1016/j.renene.2010.07.023
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    References listed on IDEAS

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    3. Cheng, Chin-Hsiang & Yang, Hang-Suin, 2011. "Analytical model for predicting the effect of operating speed on shaft power output of Stirling engines," Energy, Elsevier, vol. 36(10), pages 5899-5908.
    4. Salvatore Ranieri & Gilberto A. O. Prado & Brendan D. MacDonald, 2018. "Efficiency Reduction in Stirling Engines Resulting from Sinusoidal Motion," Energies, MDPI, vol. 11(11), pages 1-14, October.
    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. Nader, Wissam Bou & Jaworski, Jaroslaw & Leyko, Jacek & Mitukiewicz, Grzegorz & Batory, Damian & Bouriot, Jean, 2022. "Study and test of a post combustion chamber for a recuperative reheat Stirling machine," Energy, Elsevier, vol. 247(C).
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. Bataineh, Khaled, 2018. "Mathematical formulation of alpha -type Stirling engine with Ross Yoke mechanism," Energy, Elsevier, vol. 164(C), pages 1178-1199.
    13. Chin-Hsiang Cheng & Duc-Thuan Phung, 2021. "Numerical Optimization of the β-Type Stirling Engine Performance Using the Variable-Step Simplified Conjugate Gradient Method," Energies, MDPI, vol. 14(23), pages 1-14, November.
    14. Karabulut, Halit & Okur, Melih & Halis, Serdar & Altin, Murat, 2019. "Thermodynamic, dynamic and flow friction analysis of a Stirling engine with Scotch yoke piston driving mechanism," Energy, Elsevier, vol. 168(C), pages 169-181.
    15. Rahmati, A. & Varedi-Koulaei, S.M. & Ahmadi, M.H. & Ahmadi, H., 2022. "Dynamic synthesis of the alpha-type stirling engine based on reducing the output velocity fluctuations using Metaheuristic algorithms," Energy, Elsevier, vol. 238(PB).

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