Ecological performance optimization analysis of a new irreversible quantum harmonic heat engine

A new cycle model of an irreversible quantum harmonic heat engine is established in this paper, which is composed of two isothermal processes, an adiabatic process and a constant frequency process. Based on the quantum master equation and semi-group approach, the general optimal performance characteristics of the cycle are investigated. Expressions for several important performance parameters such as the efficiency, the power output and the ecological function are derived analytically in high temperature limit. By numerical calculation, a set of performance characteristic curves is plotted, such as the optimal curves between the power output and efficiency, the ecological function and efficiency. A comparison of the corresponding efficiencies at the maximum ecological function and power output is also presented.