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Endoreversible heat-engines for maximum power-output with fixed duration and radiative heat-transfer law

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  • Song, Hanjiang
  • Chen, Lingen
  • Sun, Fengrui

Abstract

Optimal configuration of a class of endoreversible heat-engines, with fixed duration and subject to the radiative heat-transfer law q [is proportional to] [Delta](T4), has been determined. The optimal cycle that maximizes the power output of the engine has been obtained using optimal-control theory, and the differential equations are solved by a Taylor-series expansion. It is shown that the optimal cycle has six branches, including two isothermal branches and four maximum-power branches, without adiabatic branches. The interval of each branch has been obtained, as well as the solutions of the temperatures of the heat reservoirs and working fluid. A numerical example is given. The results are compared with those obtained using the Newton's heat-transfer law for maximum power output and those using a linear phenomenological heat-transfer law for maximum power output.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:appene:v:84:y:2007:i:4:p:374-388
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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 & 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.
    3. Salamon, P. & Nulton, J.D. & Siragusa, G. & Andersen, T.R. & Limon, A., 2001. "Principles of control thermodynamics," Energy, Elsevier, vol. 26(3), pages 307-319.
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    Cited by:

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