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

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  • 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
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    References listed on IDEAS

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    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.
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    Cited by:

    1. 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).
    2. 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).
    3. 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).

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