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A fast response free-piston engine generator numerical model for control applications

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  • Jia, Boru
  • Smallbone, Andrew
  • Feng, Huihua
  • Tian, Guohong
  • Zuo, Zhengxing
  • Roskilly, A.P.

Abstract

This paper presents a linearization of the dynamic equation for a free-piston engine generator (FPEG), and simplifies it to a one-degree forced vibration system with viscous damping. The analogy between a mass-spring damper and a FPEG system is expressed, and the solution to the vibration system is solved. The model was successfully validated with respect to experimental data obtained from a prototype. The simulated piston displacement during steady operation showed similar trends with the test results and the error of the displacement amplitude was controlled within 3%. The state-space equations and the transfer function of the system are obtain using the fast response numerical model. An example of model application in the real FEPG control system was provided. Compared to the previous numerical model with differential approaches, the solving time of the proposed fast response model can be significantly reduced. The simplicity and flexibility of the proposed model make it feasible to be implemented to several computing software, i.e. Matlab, AMESim, Labview, Dymola et al. It can be easily implemented to real-time Hardware-in-the-Loop (HIL) simulation model for the future piston dynamic control system development. In addition, since it reveals how an FPEG operates in a resonant principle, the model is useful for parameter selection in the FPEG design process.

Suggested Citation

  • Jia, Boru & Smallbone, Andrew & Feng, Huihua & Tian, Guohong & Zuo, Zhengxing & Roskilly, A.P., 2016. "A fast response free-piston engine generator numerical model for control applications," Applied Energy, Elsevier, vol. 162(C), pages 321-329.
    • Handle: RePEc:eee:appene:v:162:y:2016:i:c:p:321-329
    DOI: 10.1016/j.apenergy.2015.10.108
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    References listed on IDEAS

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    Cited by:

    1. Zhang, Zhiyuan & Feng, Huihua & Jia, Boru & Zuo, Zhengxing & Yan, Xiaodong & Smallbone, Andrew & Roskilly, Anthony Paul, 2022. "Identification and analysis on the variation sources of a dual-cylinder free piston engine generator and their influence on system operating characteristics," Energy, Elsevier, vol. 242(C).
    2. Hou, Xiaochen & Zhang, Hongguang & Xu, Yonghong & Yu, Fei & Zhao, Tenglong & Tian, Yaming & Yang, Yuxin & Zhao, Rui, 2018. "External load resistance effect on the free piston expander-linear generator for organic Rankine cycle waste heat recovery system," Applied Energy, Elsevier, vol. 212(C), pages 1252-1261.
    3. Hu, J.Y. & Luo, E.C. & Dai, W. & Zhang, L.M., 2017. "Parameter sensitivity analysis of duplex Stirling coolers," Applied Energy, Elsevier, vol. 190(C), pages 1039-1046.
    4. Jia, Boru & Mikalsen, Rikard & Smallbone, Andrew & Zuo, Zhengxing & Feng, Huihua & Roskilly, Anthony Paul, 2016. "Piston motion control of a free-piston engine generator: A new approach using cascade control," Applied Energy, Elsevier, vol. 179(C), pages 1166-1175.
    5. Ngwaka, Ugochukwu & Jia, Boru & Lawrence, Christopher & Wu, Dawei & Smallbone, Andrew & Roskilly, Anthony Paul, 2019. "The characteristics of a Linear Joule Engine Generator operating on a dry friction principle," Applied Energy, Elsevier, vol. 237(C), pages 49-59.
    6. Xuezhen Wang & Feixue Chen & Renfeng Zhu & Guilin Yang & Chi Zhang, 2018. "A Review of the Design and Control of Free-Piston Linear Generator," Energies, MDPI, vol. 11(8), pages 1-21, August.
    7. Yang, Fubin & Zhang, Hongguang & Hou, Xiaochen & Tian, Yaming & Xu, Yonghong, 2019. "Experimental study and artificial neural network based prediction of a free piston expander-linear generator for small scale organic Rankine cycle," Energy, Elsevier, vol. 175(C), pages 630-644.
    8. Wang, Yaodong & Chen, Lin & Jia, Boru & Roskilly, Anthony Paul, 2017. "Experimental study of the operation characteristics of an air-driven free-piston linear expander," Applied Energy, Elsevier, vol. 195(C), pages 93-99.
    9. Peng Sun & Chi Zhang & Jinhua Chen & Fei Zhao & Youyong Liao & Guilin Yang & Chinyin Chen, 2016. "Decoupling Design and Verification of a Free-Piston Linear Generator," Energies, MDPI, vol. 9(12), pages 1-23, December.
    10. Hung, Nguyen Ba & Lim, Ocktaeck, 2016. "A review of free-piston linear engines," Applied Energy, Elsevier, vol. 178(C), pages 78-97.
    11. Ayodeji Sowale & Athanasios J. Kolios, 2018. "Thermodynamic Performance of Heat Exchangers in a Free Piston Stirling Engine," Energies, MDPI, vol. 11(3), pages 1-20, February.
    12. Fukang Ma & Shuanlu Zhang & Zhenfeng Zhao & Yifang Wang, 2021. "Research on the Operating Characteristics of Hydraulic Free-Piston Engines: A Systematic Review and Meta-Analysis," Energies, MDPI, vol. 14(12), pages 1-23, June.
    13. Jia, Boru & Wei, Shuojian & Liu, Chang & Zhang, Zhiyuan & Wei, Yidi & Wang, Jiayu & Feng, Huihua & Zuo, Zhengxing, 2024. "Numerical investigation on the cold-start/restart process of a linear range extender for faster response," Energy, Elsevier, vol. 299(C).
    14. Zhang, Zhiyuan & Feng, Huihua & He, Hongwen & Jia, Boru & Zuo, Zhengxing & Liu, Chang & Smallbone, Andrew & Roskilly, Anthony Paul, 2023. "Demonstration of a single/dual cylinder free-piston engine generator prototype: Milestone achieved on system stability," Energy, Elsevier, vol. 278(PA).
    15. Ziwei Zhang & Huihua Feng & Zhengxing Zuo, 2020. "Numerical Investigation of a Free-Piston Hydrogen-Gasoline Engine Linear Generator," Energies, MDPI, vol. 13(18), pages 1-16, September.
    16. 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.
    17. Jia, Boru & Zuo, Zhengxing & Feng, Huihua & Tian, Guohong & Smallbone, Andrew & Roskilly, A.P., 2016. "Effect of closed-loop controlled resonance based mechanism to start free piston engine generator: Simulation and test results," Applied Energy, Elsevier, vol. 164(C), pages 532-539.
    18. Jia, Boru & Smallbone, Andrew & Mikalsen, Rikard & Feng, Huihua & Zuo, Zhengxing & Roskilly, Anthony Paul, 2017. "Disturbance analysis of a free-piston engine generator using a validated fast-response numerical model," Applied Energy, Elsevier, vol. 185(P1), pages 440-451.
    19. Boru Jia & Andrew Smallbone & Rikard Mikalsen & K.V. Shivaprasad & Sumit Roy & Anthony Paul Roskilly, 2019. "Performance Analysis of a Flexi-Fuel Turbine-Combined Free-Piston Engine Generator," Energies, MDPI, vol. 12(14), pages 1-22, July.
    20. Boru Jia & Yaodong Wang & Andrew Smallbone & Anthony Paul Roskilly, 2018. "Analysis of the Scavenging Process of a Two-Stroke Free-Piston Engine Based on the Selection of Scavenging Ports or Valves," Energies, MDPI, vol. 11(2), pages 1-14, February.
    21. Guo, Chendong & Zuo, Zhengxing & Feng, Huihua & Jia, Boru & Roskilly, Tony, 2020. "Review of recent advances of free-piston internal combustion engine linear generator," Applied Energy, Elsevier, vol. 269(C).

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