Power Density Optimization for an Irreversible Regenerated Closed Brayton Cycle

In this paper, the power density, defined as the ratio of power output to the maximum specific volume in the cycle, is taken as objective for performance optimization of an irreversible regenerated closed Brayton cycle coupled to constant-temperature heat reservoirs in the viewpoint of finite time thermodynamics (FTT) or entropy generation minimization (EGM). The analytical formulae about the relations between power density and pressure ratio are derived with the heat resistance losses in the hot- and cold-side heat exchangers and the regenerator, the irreversible compression and expansion losses in the compressor and turbine, and the pressure drop loss in the piping. The maximum power density optimization is performed by searching the optimum heat conductance distribution corresponding to the optimum power density among the hot- and cold-side heat exchangers and the regenerator for the fixed total heat exchanger inventory. The influence of some design parameters, including the temperature ratio of the heat reservoirs, the total heat exchanger inventory, the efficiencies of the compressor and the turbine, and the pressure recovery coefficient, on the optimum heat conductance distribution and the maximum power density are provided. When the heat transfers between the working fluid and the heat reservoirs are carried out ideally, the analytical results of this paper become those obtained in recent literature. The power plant design with optimization leads to smaller size including the compressor, turbine, and the hot- and cold-side heat exchangers and the regenerator.

[1]  Cha'o-Kuang Chen,et al.  Ecological optimization of an irreversible Brayton heat engine , 1999 .

[2]  Bahri Sahin,et al.  Maximum power density analysis of an irreversible Joule - Brayton engine , 1996 .

[3]  Michel Feidt Optimisation d'un cycle de Brayton moteur en contact avec des capacités thermiques finies , 1996 .

[4]  A. D. Vos,et al.  Endoreversible thermodynamics of solar energy conversion , 1992 .

[5]  Anne H. Anderson,et al.  Optimizations for Brayton-Joule Gas Turbine Cycles , 1992 .

[6]  Ali Kodal,et al.  Maximum power density analysis for irreversible combined Carnot cycles , 1999 .

[7]  Santiago Velasco,et al.  Optimum performance of a regenerative Brayton thermal cycle , 1997 .

[8]  F. Curzon,et al.  Efficiency of a Carnot engine at maximum power output , 1975 .

[9]  L. Chen,et al.  Performance analysis of an irreversible Brayton heat engine , 1997 .

[10]  W A Woods,et al.  Output and Efficiency of the Closed-Cycle Gas Turbine , 1991 .

[11]  Cha'o-Kuang Chen,et al.  Efficiency Optimizations of an Irreversible Brayton Heat Engine , 1998 .

[12]  Bahri Sahin,et al.  Efficiency of a Joule-Brayton engine at maximum power density , 1995 .

[13]  Fengrui Sun,et al.  Theoretical analysis of the performance of a regenerative closed Brayton cycle with internal irreversibilities , 1997 .

[14]  Lingen Chen,et al.  Finite Time Thermodynamic Optimization or Entropy Generation Minimization of Energy Systems , 1999 .

[15]  Lingen Chen,et al.  Performance analysis for a real closed regenerated Brayton cycle via methods of finite-time thermodynamics , 1999 .

[16]  S. Sieniutycz,et al.  Thermodynamic Optimization of Finite-Time Processes , 2000 .

[17]  Alejandro Medina,et al.  Regenerative gas turbines at maximum power density conditions , 1996 .

[18]  Cha'o-Kuang Chen,et al.  Power Optimization of an Irreversible Brayton Heat Engine , 1997 .

[19]  Lingen Chen,et al.  Efficiency of an Atkinson engine at maximum power density , 1998 .

[20]  J. H. Horlock,et al.  Determination of the optimum performance of gas turbines , 2000 .

[21]  Stanislaw Sieniutycz,et al.  Thermodynamics of energy conversion and transport , 2000 .

[22]  John W. Mitchell,et al.  Optimum Heat Power Cycles for Specified Boundary Conditions , 1991 .

[23]  A. Bejan Entropy generation minimization: The new thermodynamics of finite-size devices and finite-time processes , 1996 .

[24]  Cha'o-Kuang Chen,et al.  Maximum power of an endoreversible intercooled Brayton cycle , 2000 .

[25]  Bahri Sahin,et al.  A comparative performance analysis of irreversible Carnot heat engines under maximum power density and maximum power conditions , 2000 .

[26]  Chih Wu,et al.  Power optimization of an endoreversible Brayton gas heat engine , 1991 .

[27]  Cha'o-Kuang Chen,et al.  Ecological optimization of an endoreversible Brayton cycle , 1998 .

[28]  Fengrui Sun,et al.  Optimum distribution of heat exchanger inventory for power density optimization of an endoreversible closed Brayton cycle , 2001 .

[29]  Bjarne Andresen,et al.  On the Curzon–Ahlborn efficiency and its connection with the efficiencies of real heat engines , 2001 .

[30]  Hasbi Yavuz,et al.  Maximum power density for an endoreversible carnot heat engine , 1996 .

[31]  David A. Blank Analysis of a combined law power-optimized open Joule-Brayton heat-engine cycle with a finite interactive heat source , 1999 .

[32]  Fengrui Sun,et al.  Performance of a regenerative Brayton heat engine , 1996 .

[33]  Adrian Bejan,et al.  Thermodynamic Optimization of a Gas Turbine Power Plant With Pressure Drop Irreversibilities , 1998 .

[34]  W A Woods On the Role of the Harmonic Mean Isentropic Exponent in the Analysis of the Closed-Cycle Gas Turbine , 1991 .

[35]  Bahri Sahin,et al.  A comparative performance analysis of irreversible regenerative reheating Joule-Brayton engines under maximum power density and maximum power conditions , 1998 .