广义不可逆联合热泵循环有限时间经济性分析与优化

Finite time exergoeconomic performance analysis and optimization for generalized irreversible combined heat pump cycles

研究了存在热阻、热漏和内不可逆性的广义不可逆联合热泵循环有限时间经济性能,导出了在线性传热定律下循环最佳利润率和最佳供热系数的解析式以及二者的优化关系,并用数值算例对比分析了热漏、内不可逆性和价格比对利润率和经济性能界限的影响。广义不可逆联合热泵循环的有限时间经济学性能界限通过价格比与有限时间热力学性能界限和经典热力学限建立联系。结果对于实际联合热泵确定设计参数,判定工况是否处于最优经济状态有一定的指导作用。

The finite-time exergoeconomic performance of a generalized irreversible combined heat pump cycle model with finite-rate heat transfer, heat leakage and internal irreversibility was studied in this paper. The analytical formula about optimal profit rate, optimal COP（coefficient of performance） and optimal relation between profit rate and COP of the cycle with linear heat transfer law were derived. Furthermore, the influences of various factors, including heat leakage, internal irreversibility and the price rate, on profit rate and finite-time exergoeconomic performance bound of the generalized irreversible combined heat pump cycle were carried out by detailed numerical examples. The finite-time exergoeconomic performance bound of the generalized irreversible combined refrigeration cycle was related to finite-time thermodynamic performance bound and classical thermodynamic performance bound through the price ratio. The results obtained herein may provide some guidelines for determining the design parameters and evaluating the economic condition of real combined heat pump cycles.