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An endoreversible-model of air-standard modified Atkinson-cycle via isothermal-heat-addition is built in this study, power ( P ), efficiency ( η ), power-density ( Pd   ), ecological-function ( E ), and efficient-power ( Ep   ) performances of modified Atkinson-cycle are analyzed and compared firstly. TakingP   ̄$\bar{P}$,    η   ,  Pd   ,    E    andE   ̄p${\bar{E}}_{p}$as objective-functions (OFs), and compression-ratio ( γ ) as optimization variable, the one five-objective optimization, five quadru-objective optimizations, ten tri-objective optimizations, ten bi-objective optimizations and five single-objective optimizations are completed by using NSGA-II furtherly. To find optimal solution, deviation indices ( Ds ) of three decision-making-methods (DMMs) which include Shannon Entropy, LINMAP and TOPSIS are utilized to compare optimization results. Results show that curves    P    versus    η    and  Pd    versus    η    are loop-shaped ones, and curves    P    versus    γ    and  Pd    versus    γ    are parabolic-like ones. With the increases of pre-expansion-ratio ( ρ ) and the maximum-temperature-ratio ( τ ),  Pd    is improved. Modified Atkinson-cycle designed with  Pd    as the OF has smaller size and higher    η   . Compared with traditional Atkinson-cycle, isothermal heating modified Atkinson-cycle performance is evidently improved,P   ̄$\bar{P}$,    η   ,E   ̄$\bar{E}$,P   ̄d${\bar{P}}_{d}$,E   ̄p${\bar{E}}_{p}$are improved by 30.18 %, 7.31 %, 39.57 %, 32.27 %, 47.60 %, respectively. When optimized with 5, 4, 3, or two objectives, the more the number of objectives is, modified Atkinson-cycle has more reasonable design plan and better trade-off design performance .  The major contributions herein are establishment of modified Atkinson-cycle and accomplishment of MOOs for it with five OFs.

An air-standard isothermal-heating modified Atkinson-cycle and its performance optimizations with five objectives and NSGA-II