IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v185y2019icp633-643.html
   My bibliography  Save this article

Assessment of damping coefficients ranges in design of a free piston Stirling engine: Simulation and experiment

Author

Listed:
  • Zare, Shahryar
  • Tavakolpour-Saleh, Alireza
  • Shourangiz-Haghighi, Alireza
  • Binazadeh, Tahereh

Abstract

This paper concentrates on investigating the robustness of the free piston Stirling engine (FPSE) considering the uncertainty of the damping coefficients of power and displacer pistons using the vanishing perturbation. First, error state equations of the FPSE possessing nonlinear springs are derived. Next, the passivity-based control method without applying the uncertainty term is employed to achieve the limit cycle for power and displacer pistons motions. Afterwards, the vanishing perturbation is considered to study the robustness of the system against the allowable increase of the power and displacer pistons’ damping coefficients through finding the upper bound. Consequently, the presented paper, first, studied the FPSE behavior without considering the uncertainty term and then, probes the consideration of the uncertainty term. Accordingly, the motions and velocities of pistons as well as the existence of limit cycles in the system response are investigated in detail. Next, the validity of the presented scheme is experimented through a prototype model, namely SUTech-SR-1. Finally, according to the achieved upper bound, the proposed work not only appropriately predicts the FPSE behavior, but also the obtained simulation data are found to be in an acceptable agreement with those of the experiment.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:energy:v:185:y:2019:i:c:p:633-643
    DOI: 10.1016/j.energy.2019.07.069
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544219314082
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2019.07.069?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Toro, Claudia & Lior, Noam, 2017. "Analysis and comparison of solar-heat driven Stirling, Brayton and Rankine cycles for space power generation," Energy, Elsevier, vol. 120(C), pages 549-564.
    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. Hooshang, M. & Askari Moghadam, R. & AlizadehNia, S., 2016. "Dynamic response simulation and experiment for gamma-type Stirling engine," Renewable Energy, Elsevier, vol. 86(C), pages 192-205.
    4. Kuban, Lukasz & Stempka, Jakub & Tyliszczak, Artur, 2019. "A 3D-CFD study of a γ-type Stirling engine," Energy, Elsevier, vol. 169(C), pages 142-159.
    5. 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.
    6. Motamedi, Mahmoud & Ahmadi, Rouhollah & Jokar, H., 2018. "A solar pressurizable liquid piston stirling engine: Part 1, mathematical modeling, simulation and validation," Energy, Elsevier, vol. 155(C), pages 796-814.
    7. 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.
    8. Rezaeiha, Abdolrahim & Montazeri, Hamid & Blocken, Bert, 2019. "On the accuracy of turbulence models for CFD simulations of vertical axis wind turbines," Energy, Elsevier, vol. 180(C), pages 838-857.
    9. Li, Ruijie & Grosu, Lavinia & Li, Wei, 2017. "New polytropic model to predict the performance of beta and gamma type Stirling engine," Energy, Elsevier, vol. 128(C), pages 62-76.
    10. Formosa, Fabien & Fréchette, Luc G., 2013. "Scaling laws for free piston Stirling engine design: Benefits and challenges of miniaturization," Energy, Elsevier, vol. 57(C), pages 796-808.
    11. Altin, Murat & Okur, Melih & Ipci, Duygu & Halis, Serdar & Karabulut, Halit, 2018. "Thermodynamic and dynamic analysis of an alpha type Stirling engine with Scotch Yoke mechanism," Energy, Elsevier, vol. 148(C), pages 855-865.
    12. Bert, Juliette & Chrenko, Daniela & Sophy, Tonino & Le Moyne, Luis & Sirot, Frédéric, 2014. "Simulation, experimental validation and kinematic optimization of a Stirling engine using air and helium," Energy, Elsevier, vol. 78(C), pages 701-712.
    13. Ahmadi, Rouhollah & Jokar, H. & Motamedi, Mahmoud, 2018. "A solar pressurizable liquid piston stirling engine: Part 2, optimization and development," Energy, Elsevier, vol. 164(C), pages 1200-1215.
    14. Hu, J.Y. & Luo, E.C. & Zhang, L.M. & Chen, Y.Y. & Wu, Z.H. & Gao, B., 2018. "Analysis of a displacer-coupled multi-stage thermoacoustic-Stirling engine," Energy, Elsevier, vol. 145(C), pages 507-514.
    15. 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.
    16. Mou, Jian & Hong, Guotong, 2017. "Startup mechanism and power distribution of free piston Stirling engine," Energy, Elsevier, vol. 123(C), pages 655-663.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Tavakolpour-Saleh, A.R. & Zare, Shahryar, 2021. "Justifying performance of thermo-acoustic Stirling engines based on a novel lumped mechanical model," Energy, Elsevier, vol. 227(C).
    2. 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).
    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. Chang, Depeng & Hu, Jianying & Sun, Yanlei & Zhang, Limin & Chen, Yanyan & Luo, Ercang, 2023. "Numerical investigation on key parameters of a double-acting free piston Stirling generator," Energy, Elsevier, vol. 278(PB).
    5. 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).
    6. Yousefzadeh, H. & Tavakolpour-Saleh, A.R., 2021. "A novel unified dynamic-thermodynamic method for estimating damping and predicting performance of kinematic Stirling engines," Energy, Elsevier, vol. 224(C).
    7. Tavakolpour-Saleh, A.R. & Hamzavi, A. & Omidvar, A., 2021. "A novel solar-powered self-blowing air heating system with active control based on a quasi-Stirling cycle," Energy, Elsevier, vol. 227(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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).
    2. 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.
    3. 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.
    4. 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).
    5. Zare, Shahryar & Tavakolpour-Saleh, A.R., 2020. "Predicting onset conditions of a free piston Stirling engine," Applied Energy, Elsevier, vol. 262(C).
    6. Ayodeji Sowale & Edward J. Anthony & Athanasios John Kolios, 2018. "Optimisation of a Quasi-Steady Model of a Free-Piston Stirling Engine," Energies, MDPI, vol. 12(1), pages 1-17, December.
    7. 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.
    8. Tavakolpour-Saleh, A.R. & Zare, Shahryar, 2021. "Justifying performance of thermo-acoustic Stirling engines based on a novel lumped mechanical model," Energy, Elsevier, vol. 227(C).
    9. Mou, Jian & Hong, Guotong, 2017. "Startup mechanism and power distribution of free piston Stirling engine," Energy, Elsevier, vol. 123(C), pages 655-663.
    10. 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).
    11. Hadžiselimović, Miralem & Srpčič, Gregor & Brinovar, Iztok & Praunseis, Zdravko & Seme, Sebastijan & Štumberger, Bojan, 2019. "A novel concept of linear oscillatory synchronous generator designed for a stirling engine," Energy, Elsevier, vol. 180(C), pages 19-27.
    12. Qiu, Hao & Wang, Kai & Yu, Peifeng & Ni, Mingjiang & Xiao, Gang, 2021. "A third-order numerical model and transient characterization of a β-type Stirling engine," Energy, Elsevier, vol. 222(C).
    13. 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.
    14. Yousefzadeh, H. & Tavakolpour-Saleh, A.R., 2021. "A novel unified dynamic-thermodynamic method for estimating damping and predicting performance of kinematic Stirling engines," Energy, Elsevier, vol. 224(C).
    15. Marcin Wołowicz & Piotr Kolasiński & Krzysztof Badyda, 2021. "Modern Small and Microcogeneration Systems—A Review," Energies, MDPI, vol. 14(3), pages 1-47, February.
    16. Carmela Perozziello & Lavinia Grosu & Bianca Maria Vaglieco, 2021. "Free-Piston Stirling Engine Technologies and Models: A Review," Energies, MDPI, vol. 14(21), pages 1-22, October.
    17. 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.
    18. Ahmadi, Rouhollah & Jokar, H. & Motamedi, Mahmoud, 2018. "A solar pressurizable liquid piston stirling engine: Part 2, optimization and development," Energy, Elsevier, vol. 164(C), pages 1200-1215.
    19. 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).
    20. Tavakolpour-Saleh, A.R., 2021. "A novel theorem on motion stability," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:185:y:2019:i:c:p:633-643. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.