IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v617y2023ics0378437123002091.html
   My bibliography  Save this article

Maximum work configuration for irreversible finite-heat-capacity source engines by applying averaged-optimal-control theory

Author

Listed:
  • Chen, Lingen
  • Xia, Shaojun

Abstract

A finite-heat-capacity source irreversible engine with irreversibility losses of bypass-thermal-leak and heat-resistances is investigated. Comprehensively considering that source heat-capacity is function of its temperature and bypass-thermal-leak and heat-resistance obey generalized form, optimality condition for the maximum work output is obtained by utilizing averaged-optimal-control theory. Detailed mathematical expressions of source heat-capacity, heat-transfer rates and bypass-thermal-leak rate are not prescribed. Generalized result is obtained. Effects of heat-capacity characteristic of the finite-heat-capacity source, heat-resistance models and bypass-thermal-leak on the optimal cycle configuration for maximum work output are analyzed. Finite-heat-capacity source heat-capacity not only has effect on the optimal temperature relationship between working substance and finite-heat-capacity source at high-temperature side of the irreversible engine, but also has effects on optimal profiles of temperatures of finite-heat-capacity source and working substance versus the time. Bypass-thermal-leak affects the optimal temperature relationship between finite-heat-capacity source and working substance at high-temperature side, and the maximum work configurations with and without bypass-thermal-leak are different from each other significantly. The results obtained her ein include those in some previous related literatures.

Suggested Citation

  • Chen, Lingen & Xia, Shaojun, 2023. "Maximum work configuration for irreversible finite-heat-capacity source engines by applying averaged-optimal-control theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
  • Handle: RePEc:eee:phsmap:v:617:y:2023:i:c:s0378437123002091
    DOI: 10.1016/j.physa.2023.128654
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437123002091
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2023.128654?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. Chen, Lingen & Sun, Fengrui & Wu, Chih, 2006. "Optimal configuration of a two-heat-reservoir heat-engine with heat-leak and finite thermal-capacity," Applied Energy, Elsevier, vol. 83(2), pages 71-81, February.
    2. Chen, Lingen & Li, Jun & Sun, Fengrui, 2008. "Generalized irreversible heat-engine experiencing a complex heat-transfer law," Applied Energy, Elsevier, vol. 85(1), pages 52-60, January.
    3. 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.
    4. Lingen Chen & Kang Ma & Huijun Feng & Yanlin Ge, 2020. "Optimal Configuration of a Gas Expansion Process in a Piston-Type Cylinder with Generalized Convective Heat Transfer Law," Energies, MDPI, vol. 13(12), pages 1-20, June.
    5. Chen, Lingen & Zhu, Xiaoqin & Sun, Fengrui & Wu, Chih, 2006. "Effect of mixed heat-resistances on the optimal configuration and performance of a heat-engine cycle," Applied Energy, Elsevier, vol. 83(6), pages 537-544, June.
    6. Chen, Lingen & Xia, Shaojun, 2022. "Maximizing power output of endoreversible non-isothermal chemical engine via linear irreversible thermodynamics," Energy, Elsevier, vol. 255(C).
    7. Chen, Lingen & Xia, Shaojun, 2022. "Maximizing power of irreversible multistage chemical engine with linear mass transfer law using HJB theory," Energy, Elsevier, vol. 261(PB).
    8. Abdellah Khodja & Raphael Paul & Andreas Fischer & Karl Heinz Hoffmann, 2021. "Optimized Cooling Power of a Vuilleumier Refrigerator with Limited Regeneration," Energies, MDPI, vol. 14(24), pages 1-21, December.
    9. Chen, Lingen & Zhu, Xiaoqin & Sun, Fengrui & Wu, Chih, 2004. "Optimal configuration and performance for a generalized Carnot cycle assuming the heat-transfer law Q[is proportional to]([Delta]T)m," Applied Energy, Elsevier, vol. 78(3), pages 305-313, July.
    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. Shi, Shuangshuang & Chen, Lingen & Ge, Yanlin & Feng, Huijun, 2024. "Performance optimization of non-isothermal endoreversible chemical pump via Lewis analogy," Energy, Elsevier, vol. 300(C).
    2. Yang, Wenhao & Feng, Huijun & Chen, Lingen & Ge, Yanlin, 2023. "Power and efficiency optimizations of a simple irreversible supercritical organic Rankine cycle," Energy, Elsevier, vol. 278(C).
    3. Chen, Lingen & Shi, Shuangshuang & Ge, Yanlin & Feng, Huijun, 2023. "Power density performances and multi-objective optimizations for an irreversible Otto cycle with five specific heat models of working fluid," Energy, Elsevier, vol. 282(C).
    4. Qi, Congzheng & Chen, Lingen & Ge, Yanlin & Feng, Huijun, 2023. "Three-heat-reservoir thermal Brownian heat transformer and its performance limits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(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. Pengchao Zang & Lingen Chen & Yanlin Ge, 2022. "Maximizing Efficient Power for an Irreversible Porous Medium Cycle with Nonlinear Variation of Working Fluid’s Specific Heat," Energies, MDPI, vol. 15(19), pages 1-12, September.
    2. Chen, Lingen & Lorenzini, Giulio, 2023. "Heating load, COP and exergetic efficiency optimizations for TEG-TEH combined thermoelectric device with Thomson effect and external heat transfer," Energy, Elsevier, vol. 270(C).
    3. Ge, Yanlin & Wu, Heng & Chen, Lingen & Feng, Huijun & Xie, Zhihui, 2023. "Finite time and finite speed thermodynamic optimization for an irreversible Atkinson cycle," Energy, Elsevier, vol. 270(C).
    4. Jin, Qinglong & Xia, Shaojun & Chen, Lingen, 2023. "A modified recompression S–CO2 Brayton cycle and its thermodynamic optimization," Energy, Elsevier, vol. 263(PE).
    5. Xia, Shaojun & Chen, Lingen & Sun, Fengrui, 2011. "Power-optimization of non-ideal energy converters under generalized convective heat transfer law via Hamilton-Jacobi-Bellman theory," Energy, Elsevier, vol. 36(1), pages 633-646.
    6. Chen, Lingen & Shi, Shuangshuang & Ge, Yanlin & Feng, Huijun, 2023. "Performance optimization of diffusive mass transfer law irreversible isothermal chemical pump," Energy, Elsevier, vol. 263(PC).
    7. Yang, Wenhao & Feng, Huijun & Chen, Lingen & Ge, Yanlin, 2023. "Power and efficiency optimizations of a simple irreversible supercritical organic Rankine cycle," Energy, Elsevier, vol. 278(C).
    8. Song, Hanjiang & Chen, Lingen & Sun, Fengrui, 2007. "Endoreversible heat-engines for maximum power-output with fixed duration and radiative heat-transfer law," Applied Energy, Elsevier, vol. 84(4), pages 374-388, April.
    9. Chen, Lingen & Shi, Shuangshuang & Ge, Yanlin & Feng, Huijun, 2023. "Ecological function performance analysis and multi-objective optimization for an endoreversible four-reservoir chemical pump," Energy, Elsevier, vol. 282(C).
    10. Shi, Shuangshuang & Chen, Lingen & Ge, Yanlin & Feng, Huijun, 2024. "Performance optimization of non-isothermal endoreversible chemical pump via Lewis analogy," Energy, Elsevier, vol. 300(C).
    11. Huang, Jialuo & Xia, Shaojun & Chen, Lingen, 2024. "Optimal configurations of ammonia decomposition reactor with minimum power consumption and minimum heat transfer rate," Energy, Elsevier, vol. 293(C).
    12. Qi, Congzheng & Chen, Lingen & Ge, Yanlin & Feng, Huijun, 2023. "Three-heat-reservoir thermal Brownian heat transformer and its performance limits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    13. Chen, Lingen & Shi, Shuangshuang & Ge, Yanlin & Feng, Huijun, 2023. "Power density performances and multi-objective optimizations for an irreversible Otto cycle with five specific heat models of working fluid," Energy, Elsevier, vol. 282(C).
    14. Shuangshuang Shi & Yanlin Ge & Lingen Chen & Huijun Feng, 2021. "Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Atkinson Cycle with Nonlinear Variation of Working Fluid’s Specific Heat," Energies, MDPI, vol. 14(14), pages 1-23, July.
    15. Chen, Lingen & Qi, Congzheng & Ge, Yanlin & Feng, Huijun, 2022. "Thermal Brownian heat engine with external and internal irreversibilities," Energy, Elsevier, vol. 255(C).
    16. Sieniutycz, Stanislaw, 2009. "Dynamic bounds for power and efficiency of non-ideal energy converters under nonlinear transfer laws," Energy, Elsevier, vol. 34(3), pages 334-340.
    17. Chen, Lingen & Li, Jun & Sun, Fengrui, 2008. "Generalized irreversible heat-engine experiencing a complex heat-transfer law," Applied Energy, Elsevier, vol. 85(1), pages 52-60, January.
    18. Xu, Haoran & Chen, Lingen & Ge, Yanlin & Feng, Huijun, 2022. "Multi-objective optimization of Stirling heat engine with various heat and mechanical losses," Energy, Elsevier, vol. 256(C).
    19. Abdellah Khodja & Raphael Paul & Andreas Fischer & Karl Heinz Hoffmann, 2021. "Optimized Cooling Power of a Vuilleumier Refrigerator with Limited Regeneration," Energies, MDPI, vol. 14(24), pages 1-21, December.
    20. Lingen Chen & Kang Ma & Huijun Feng & Yanlin Ge, 2020. "Optimal Configuration of a Gas Expansion Process in a Piston-Type Cylinder with Generalized Convective Heat Transfer Law," Energies, MDPI, vol. 13(12), pages 1-20, June.

    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:phsmap:v:617:y:2023:i:c:s0378437123002091. 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/physica-a-statistical-mechpplications/ .

    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.