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Efficient-ecological-function analyses and multi-objective optimizations for generalized irreversible Carnot heat pumps

Author

Listed:
  • Su, Yiwen
  • Chen, Lingen
  • Ge, Yanlin
  • Shi, Shuangshuang
  • Feng, Huijun

Abstract

Previous studies proposed exergy-based efficient-ecological-function (Eφ) as a new cycle performance index. In this study, Eφ is introduced into a generalized irreversible Carnot heat-pump (CHP) cycle with heat-leak rate (q), heat-transfer loss and internal-irreversibility-factor (Φ). Cycle performances working under the maximum coefficient-of-performance (φ), maximum Eφ and maximum ecological-function (E) conditions are compared firstly. Then, single-, dual-, triple-, and quadruple-objective optimizations for the irreversible CHPs are performed with Eφ, φ, heating load (π) and E as well as their different combinations as optimization objectives, and working-fluid temperature-ratio (x) as optimization variable, by utilizing NSGA-II algorithm. Pareto-frontiers (PFs) under different objective combinations are obtained. Finally, the PF value is selected by using three decision-making-methods (DMMs): TOPSIS, LINMAP, and Shannon entropy. With the same objective function combination, the deviation indexes (Ds) of three DMMs are compared and the optimal scheme is selected according to the smallest D. The results for endoreverisble CHP case are also provided. The findings show that Eφ places greater emphasis on the trade-off among φ, π, exergy-output-rate, and entropy-generation-rate. Heat-leak-rate transforms curve of Eφ−φ from parabolic to loop-shaped. The curve of Eφ−π is parabolic shape, Eφ decreases with increases of q and Φ. In practical heat-pump design, it is necessary to choose a designing point with higher φ and π in order to improve performance. On the PF, each point represents an optimal equilibrium-state achieved by objective function. For four-objective optimization, the optimal x (xopt) for the generalized irreversible CHP cycle ranges between 0.768 and 0.866, while the xopt of endoreversible CHP cycle is between 0.765 and 0.866, which mean the optimal selecting ranges of working-fluid temperature-ratio for the two CHP cycle models. The important contributions herein are introducing Eφ into generalized irreversible CHP and performing multi-objective optimizations with 15 objective combinations considering four performance indicators.

Suggested Citation

  • Su, Yiwen & Chen, Lingen & Ge, Yanlin & Shi, Shuangshuang & Feng, Huijun, 2025. "Efficient-ecological-function analyses and multi-objective optimizations for generalized irreversible Carnot heat pumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 679(C).
    • Handle: RePEc:eee:phsmap:v:679:y:2025:i:c:s0378437125006314
    DOI: 10.1016/j.physa.2025.130979
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    References listed on IDEAS

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    1. Bi, Yuehong & Chen, Lingen & Sun, Fengrui, 2008. "Heating load, heating-load density and COP optimizations of an endoreversible air heat-pump," Applied Energy, Elsevier, vol. 85(7), pages 607-617, July.
    2. 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).
    3. 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.
    4. 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).
    5. Prajapati, Parth & Patel, Vivek & Raja, Bansi D. & Jouhara, Hussam, 2023. "Multi objective ecological optimization of an irreversible Stirling cryogenic refrigerator cycle," Energy, Elsevier, vol. 274(C).
    6. Chen, Lingen & Zhou, Jianping & Sun, Fengrui & Wu, Chih, 2004. "Ecological optimization for generalized irreversible Carnot engines," Applied Energy, Elsevier, vol. 77(3), pages 327-338, March.
    7. Li, Wanfeng & Chen, Lingen & Ge, Yanlin & Feng, Huijun, 2025. "Efficient power performance analyses and multi-objective optimizations for closed regenerative gas turbine cycle based on five objectives and NSGA-II," Energy, Elsevier, vol. 329(C).
    8. Chen, Lingen & Zhu, Xiaoqin & Sun, Fengrui & Wu, Chih, 2006. "Exergy-based ecological optimization of linear phenomenological heat-transfer law irreversible Carnot-engines," Applied Energy, Elsevier, vol. 83(6), pages 573-582, June.
    9. Chen, Lingen & Liu, Xiaowei & Wu, Feng & Xia, Shaojun & Feng, Huijun, 2020. "Exergy-based ecological optimization of an irreversible quantum Carnot heat pump with harmonic oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    10. Huijun Feng & Wei Tang & Lingen Chen & Junchao Shi & Zhixiang Wu, 2021. "Multi-Objective Constructal Optimization for Marine Condensers," Energies, MDPI, vol. 14(17), pages 1-18, September.
    11. 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).
    12. 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).
    13. 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).
    14. 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).
    15. Chen, Lingen & Xiaoqin, Zhu & Sun, Fengrui & Wu, Chih, 2007. "Exergy-based ecological optimization for a generalized irreversible Carnot heat-pump," Applied Energy, Elsevier, vol. 84(1), pages 78-88, January.
    16. Sayyaadi, Hoseyn & Mehrabipour, Reza, 2012. "Efficiency enhancement of a gas turbine cycle using an optimized tubular recuperative heat exchanger," Energy, Elsevier, vol. 38(1), pages 362-375.
    17. 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).
    18. Wu, Heng & Ge, Yanlin & Chen, Lingen & Feng, Huijun, 2021. "Power, efficiency, ecological function and ecological coefficient of performance optimizations of irreversible Diesel cycle based on finite piston speed," Energy, Elsevier, vol. 216(C).
    19. Xue, Xiaoqing & Ge, Yanlin & Chen, Lingen & Feng, Huijun & Zhang, Jiwen, 2025. "Finite-time thermodynamic modeling, analysis and four-objective optimizations for Rallis cycle with NSGA-II and multiple decision-making methods," Energy, Elsevier, vol. 334(C).
    20. Xu, Kaiyun & Ge, Yanlin & Chen, Lingen & Feng, Huijun, 2024. "A modified Diesel cycle via isothermal heat addition, its endoreversible modelling and multi-objective optimization," Energy, Elsevier, vol. 291(C).
    21. Chen, Lingen & Qi, Congzheng & Ge, Yanlin & Feng, Huijun, 2022. "Thermal Brownian heat engine with external and internal irreversibilities," Energy, Elsevier, vol. 255(C).
    22. Ares de Parga-Regalado, A.M. & Ramírez-Moreno, M.A., 2022. "On the analysis of an ecological regime for energy converters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
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