“…Since the inception of finite-time thermodynamics (FTT) theory, some scholars have conducted in-depth research in this new branch and made great progress [ 1 , 2 , 3 , 4 , 5 ]. Some have introduced FTT theory to search optimal configurations of cycles and devices, including commercial engine [ 6 ], internal combustion engines [ 7 , 8 ], heat exchange system [ 9 ], hydraulic recuperation system [ 10 ], Stirling engines [ 11 , 12 ], refrigerators [ 13 , 14 , 15 ], chemical reactor [ 16 ], finite source heat engines [ 17 , 18 ], etc. Others have introduced FTT theory to search optimal performances of cycles and devices, including Atkinson cycles [ 19 , 20 ], Otto cycles [ 21 , 22 ], Brayton cycles [ 23 , 24 ], Carnot cycles [ 25 , 26 , 27 ], Dual cycles [ 28 , 29 ], Stirling cycles [ 30 , 31 ], thermal Brownian cycles [ 32 , 33 , 34 ], porous medium cycle [ 35 ], combined cycles [ 36 , 37 ], etc.…”