IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v162y2016icp321-329.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261915013446
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.apenergy.2015.10.108?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. Jia, Boru & Tian, Guohong & Feng, Huihua & Zuo, Zhengxing & Roskilly, A.P., 2015. "An experimental investigation into the starting process of free-piston engine generator," Applied Energy, Elsevier, vol. 157(C), pages 798-804.
    2. Mikalsen, R. & Roskilly, A.P., 2010. "The control of a free-piston engine generator. Part 1: Fundamental analyses," Applied Energy, Elsevier, vol. 87(4), pages 1273-1280, April.
    3. Yang, Qin & Luo, Ercang & Dai, Wei & Yu, Guoyao, 2012. "Thermoacoustic model of a modified free piston Stirling engine with a thermal buffer tube," Applied Energy, Elsevier, vol. 90(1), pages 266-270.
    4. Xiao, Jin & Li, Qingfeng & Huang, Zhen, 2010. "Motion characteristic of a free piston linear engine," Applied Energy, Elsevier, vol. 87(4), pages 1288-1294, April.
    5. Kim, Jaeheun & Bae, Choongsik & Kim, Gangchul, 2013. "Simulation on the effect of the combustion parameters on the piston dynamics and engine performance using the Wiebe function in a free piston engine," Applied Energy, Elsevier, vol. 107(C), pages 446-455.
    6. Hung, Nguyen Ba & Lim, Ocktaeck & Iida, Norimasa, 2015. "The effects of key parameters on the transition from SI combustion to HCCI combustion in a two-stroke free piston linear engine," Applied Energy, Elsevier, vol. 137(C), pages 385-401.
    7. Zhang, Chen & Li, Ke & Sun, Zongxuan, 2015. "Modeling of piston trajectory-based HCCI combustion enabled by a free piston engine," Applied Energy, Elsevier, vol. 139(C), pages 313-326.
    8. Mao, Jinlong & Zuo, Zhengxing & Li, Wen & Feng, Huihua, 2011. "Multi-dimensional scavenging analysis of a free-piston linear alternator based on numerical simulation," Applied Energy, Elsevier, vol. 88(4), pages 1140-1152, April.
    9. Xu, Zhaoping & Chang, Siqin, 2010. "Prototype testing and analysis of a novel internal combustion linear generator integrated power system," Applied Energy, Elsevier, vol. 87(4), pages 1342-1348, April.
    10. Mikalsen, R. & Roskilly, A.P., 2010. "The control of a free-piston engine generator. Part 2: Engine dynamics and piston motion control," Applied Energy, Elsevier, vol. 87(4), pages 1281-1287, April.
    11. Wu, Wei & Hu, Jibin & Yuan, Shihua, 2014. "Semi-analytical modelling of a hydraulic free-piston engine," Applied Energy, Elsevier, vol. 120(C), pages 75-84.
    12. Chiang, Chia-Jui & Yang, Jing-Long & Lan, Shao-Ya & Shei, Tsung-Wei & Chiang, Wen-Shu & Chen, Bo-Liang, 2013. "Dynamic modeling of a SI/HCCI free-piston engine generator with electric mechanical valves," Applied Energy, Elsevier, vol. 102(C), pages 336-346.
    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. 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.
    2. 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.
    3. 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.
    4. 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).
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. Hung, Nguyen Ba & Lim, Ocktaeck, 2016. "A review of free-piston linear engines," Applied Energy, Elsevier, vol. 178(C), pages 78-97.
    15. 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.
    16. 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.
    17. 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.
    18. 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).
    19. 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).
    20. 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).
    21. 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.

    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. Hung, Nguyen Ba & Lim, Ocktaeck, 2016. "A review of free-piston linear engines," Applied Energy, Elsevier, vol. 178(C), pages 78-97.
    2. 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).
    3. 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.
    4. 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.
    5. Peng Sun & Chi Zhang & Jinhua Chen & Fei Zhao & Youyong Liao & Guilin Yang & Chinyin Chen, 2017. "Hybrid System Modeling and Full Cycle Operation Analysis of a Two-Stroke Free-Piston Linear Generator," Energies, MDPI, vol. 10(2), pages 1-23, February.
    6. 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.
    7. Lim, Ocktaeck & Hung, Nguyen Ba & Oh, Seokyoung & Kim, Gangchul & Song, Hanho & Iida, Norimasa, 2015. "A study of operating parameters on the linear spark ignition engine," Applied Energy, Elsevier, vol. 160(C), pages 746-760.
    8. 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.
    9. Huihua Feng & Yu Song & Zhengxing Zuo & Jiao Shang & Yaodong Wang & Anthony Paul Roskilly, 2015. "Stable Operation and Electricity Generating Characteristics of a Single-Cylinder Free Piston Engine Linear Generator: Simulation and Experiments," Energies, MDPI, vol. 8(2), pages 1-21, January.
    10. 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.
    11. Feng, Huihua & Guo, Chendong & Yuan, Chenheng & Guo, Yuyao & Zuo, Zhengxing & Roskilly, Anthony Paul & Jia, Boru, 2016. "Research on combustion process of a free piston diesel linear generator," Applied Energy, Elsevier, vol. 161(C), pages 395-403.
    12. 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.
    13. Zhang, Chen & Sun, Zongxuan, 2016. "Using variable piston trajectory to reduce engine-out emissions," Applied Energy, Elsevier, vol. 170(C), pages 403-414.
    14. 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.
    15. 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.
    16. Chi Zhang & Feixue Chen & Long Li & Zhaoping Xu & Liang Liu & Guilin Yang & Hongyuan Lian & Yingzhong Tian, 2018. "A Free-Piston Linear Generator Control Strategy for Improving Output Power," Energies, MDPI, vol. 11(1), pages 1-21, January.
    17. Huihua Feng & Yuyao Guo & Yu Song & Chendong Guo & Zhengxing Zuo, 2016. "Study of the Injection Control Strategies of a Compression Ignition Free Piston Engine Linear Generator in a One-Stroke Starting Process," Energies, MDPI, vol. 9(6), pages 1-19, June.
    18. 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).
    19. Yuxi Miao & Zhengxing Zuo & Huihua Feng & Chendong Guo & Yu Song & Boru Jia & Yuyao Guo, 2016. "Research on the Combustion Characteristics of a Free-Piston Gasoline Engine Linear Generator during the Stable Generating Process," Energies, MDPI, vol. 9(8), pages 1-19, August.
    20. Zhang, Chen & Sun, Zongxuan, 2017. "Trajectory-based combustion control for renewable fuels in free piston engines," Applied Energy, Elsevier, vol. 187(C), pages 72-83.

    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:appene:v:162:y:2016:i:c:p:321-329. 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.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    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.