IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v109y2016icp466-480.html
   My bibliography  Save this article

Frequency-based design of a free piston Stirling engine using genetic algorithm

Author

Listed:
  • Zare, Sh.
  • Tavakolpour-Saleh, A.R.

Abstract

This paper focuses on the frequency-based design of a FPSE (free piston Stirling engine) using a GA (genetic algorithm). First, a mathematical description of the FPSE is presented. The engine design parameters including mass and stiffness of power and displacer pistons and cross-sectional area of the displacer rod are considered as unknown variables. Then, based on a desirable operating frequency, positions of closed-loop poles of the engine system are selected. The unknown design parameters are thus found via an optimization scheme using GA. A new objective function based on the eigenvalues of the state matrix of the FPSE is proposed and GA is used to obtain the optimal values of design variables so that the objective function is minimized. Next, the effectiveness of the proposed design is evaluated through numerical simulation. Two mathematical approaches are presented to compute the phase difference between the motions of power and displacer pistons. Furthermore, the generated work and power of the FPSE are found based on the computed phase angle. Finally, the designed FPSE is constructed and primarily tested. It is found that the simulation results are in a good agreement with the experiment through which validity of the presented design technique is affirmed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:energy:v:109:y:2016:i:c:p:466-480
    DOI: 10.1016/j.energy.2016.04.119
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544216305394
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2016.04.119?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. Kalogirou, Soteris A., 2004. "Optimization of solar systems using artificial neural-networks and genetic algorithms," Applied Energy, Elsevier, vol. 77(4), pages 383-405, April.
    2. Mabrouk, M.T. & Kheiri, A. & Feidt, M., 2015. "Effect of leakage losses on the performance of a β type Stirling engine," Energy, Elsevier, vol. 88(C), pages 111-117.
    3. 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.
    4. Timoumi, Youssef & Tlili, Iskander & Ben Nasrallah, Sassi, 2008. "Design and performance optimization of GPU-3 Stirling engines," Energy, Elsevier, vol. 33(7), pages 1100-1114.
    5. Jokar, H. & Tavakolpour-Saleh, A.R., 2015. "A novel solar-powered active low temperature differential Stirling pump," Renewable Energy, Elsevier, vol. 81(C), pages 319-337.
    6. Li, Zhigang & Haramura, Yoshihiko & Kato, Yohei & Tang, Dawei, 2014. "Analysis of a high performance model Stirling engine with compact porous-sheets heat exchangers," Energy, Elsevier, vol. 64(C), pages 31-43.
    7. Hsieh, Y.C. & Hsu, T.C. & Chiou, J.S., 2008. "Integration of a free-piston Stirling engine and a moving grate incinerator," Renewable Energy, Elsevier, vol. 33(1), pages 48-54.
    8. Tavakolpour, Ali Reza & Zomorodian, Ali & Akbar Golneshan, Ali, 2008. "Simulation, construction and testing of a two-cylinder solar Stirling engine powered by a flat-plate solar collector without regenerator," Renewable Energy, Elsevier, vol. 33(1), pages 77-87.
    9. Kalogirou, Soteris A., 2001. "Artificial neural networks in renewable energy systems applications: a review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 5(4), pages 373-401, December.
    10. Timoumi, Youssef & Tlili, Iskander & Ben Nasrallah, Sassi, 2008. "Performance optimization of Stirling engines," Renewable Energy, Elsevier, vol. 33(9), pages 2134-2144.
    11. Tavakolpour-Saleh, A.R. & Jokar, H., 2016. "Neural network-based control of an intelligent solar Stirling pump," Energy, Elsevier, vol. 94(C), pages 508-523.
    Full references (including those not matched with items on IDEAS)

    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. Mojtaba Alborzi & Faramarz Sarhaddi & Fatemeh Sobhnamayan, 2019. "Optimization of the thermal lag Stirling engine performance," Energy & Environment, , vol. 30(1), pages 156-175, February.
    2. 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.
    3. Babaelahi, Mojtaba & Sayyaadi, Hoseyn, 2014. "Simple-II: A new numerical thermal model for predicting thermal performance of Stirling engines," Energy, Elsevier, vol. 69(C), pages 873-890.
    4. 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.
    5. 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.
    6. 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.
    7. Campos, M.C. & Vargas, J.V.C. & Ordonez, J.C., 2012. "Thermodynamic optimization of a Stirling engine," Energy, Elsevier, vol. 44(1), pages 902-910.
    8. 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.
    9. Tavakolpour-Saleh, A.R. & Jokar, H., 2016. "Neural network-based control of an intelligent solar Stirling pump," Energy, Elsevier, vol. 94(C), pages 508-523.
    10. Mathias Scheunert & Robin Masser & Abdellah Khodja & Raphael Paul & Karsten Schwalbe & Andreas Fischer & Karl Heinz Hoffmann, 2020. "Power-Optimized Sinusoidal Piston Motion and Its Performance Gain for an Alpha-Type Stirling Engine with Limited Regeneration," Energies, MDPI, vol. 13(17), pages 1-19, September.
    11. 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.
    12. 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.
    13. Ahmed, Fawad & Zhu, Shunmin & Yu, Guoyao & Luo, Ercang, 2022. "A potent numerical model coupled with multi-objective NSGA-II algorithm for the optimal design of Stirling engine," Energy, Elsevier, vol. 247(C).
    14. Mabrouk, M.T. & Kheiri, A. & Feidt, M., 2015. "Effect of leakage losses on the performance of a β type Stirling engine," Energy, Elsevier, vol. 88(C), pages 111-117.
    15. 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.
    16. Jha, Sunil Kr. & Bilalovic, Jasmin & Jha, Anju & Patel, Nilesh & Zhang, Han, 2017. "Renewable energy: Present research and future scope of Artificial Intelligence," Renewable and Sustainable Energy Reviews, Elsevier, vol. 77(C), pages 297-317.
    17. 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.
    18. Ferreira, Ana C. & Nunes, Manuel L. & Teixeira, José C.F. & Martins, Luís A.S.B. & Teixeira, Senhorinha F.C.F., 2016. "Thermodynamic and economic optimization of a solar-powered Stirling engine for micro-cogeneration purposes," Energy, Elsevier, vol. 111(C), pages 1-17.
    19. 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).
    20. Wang, Kai & Sanders, Seth R. & Dubey, Swapnil & Choo, Fook Hoong & Duan, Fei, 2016. "Stirling cycle engines for recovering low and moderate temperature heat: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 62(C), pages 89-108.

    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:109:y:2016:i:c:p:466-480. 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.