用有限时间热力学理论和方法,建立了恒温热源条件中冷回热式不可逆空气制冷机模型,研究其有限时间[火用]经济性能,导出了利润率解析式。用数值算例分析了利润率与压比;利润率与换热器、回热器及中冷器侧的热导率分配的关系。通过优化中间压比及总压比,得到最优压比条件下的最大[火用]经济性能;优化高、低温换热器及中冷器侧的热导率分配,得最优热导率分配条件下的最大[火用]经济性能。对以上5个变量同时优化,可得双重最大[火用]经济性能。通过数值计算还分析了其他参数对利润率与压比、利润率与热导率分配关系的影响。通过价格比,将有限时间[火用]经济性能目标与制冷率、熵产率及生态学目标建立了联系。
Based on the finite-time thermodynamic theory and method,an irreversible inter-cooled regenerated air refrigerator model coupled to constant-temperature heat reservoirs was established. The exergoeconomic optimization was carried out for the model,and the analytical expression of the profit rate was derived. The relationship between the profit rate and the pressure ratio,as well as the relationship between the profit rate and the distribution of heat conductance were analyzed by using numerical examples. When the total pressure ratio and intercooling pressure ratio were optimized,there exists a maximum value for the profit rate. When the distributions of heat conductance among hot-and cold-side heat exchangers,the intercooler and the regenerator are optimized,there exists another maximum value for the profit rate. Hence,a double maximum profit rate can be achieved by simultaneously optimizing the above five variables. The effects of other parameters on the relationship between the profit rate and the pressure ratio,as well as the relationship between the profit rate and the distribution of heat conductance were also analyzed based on numerical examples. By selecting particular price ratios,the optimization of profit rate can be converted to the optimizations of cooling load,entropy generation rate and ecological function objectives.