{"title":"An air-standard isothermal-heating modified Atkinson-cycle and its performance optimizations with five objectives and NSGA-II","authors":"Haosheng Feng, Yanlin Ge, Lingen Chen, Huijun Feng","doi":"10.1515/jnet-2025-0039","DOIUrl":null,"url":null,"abstract":"An endoreversible-model of air-standard modified Atkinson-cycle via isothermal-heat-addition is built in this study, power ( <jats:italic>P</jats:italic> ), efficiency ( <jats:italic>η</jats:italic> ), power-density ( <jats:italic>P</jats:italic> <jats:sub> <jats:italic>d</jats:italic> </jats:sub> ), ecological-function ( <jats:italic>E</jats:italic> ), and efficient-power ( <jats:italic>E</jats:italic> <jats:sub> <jats:italic>p</jats:italic> </jats:sub> ) performances of modified Atkinson-cycle are analyzed and compared firstly. Taking <jats:inline-formula> <jats:alternatives> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"> <m:mrow> <m:mover accent=\"true\"> <m:mi>P</m:mi> <m:mo>̄</m:mo> </m:mover> </m:mrow> </m:math> <jats:tex-math>$\\bar{P}$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_jnetdy-2025-0039_ineq_001.png\"/> </jats:alternatives> </jats:inline-formula> , <jats:italic>η</jats:italic> , <jats:italic>P</jats:italic> <jats:sub> <jats:italic>d</jats:italic> </jats:sub> , <jats:italic>E</jats:italic> and <jats:inline-formula> <jats:alternatives> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"> <m:mrow> <m:msub> <m:mover accent=\"true\"> <m:mi>E</m:mi> <m:mo>̄</m:mo> </m:mover> <m:mi>p</m:mi> </m:msub> </m:mrow> </m:math> <jats:tex-math>${\\bar{E}}_{p}$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_jnetdy-2025-0039_ineq_002.png\"/> </jats:alternatives> </jats:inline-formula> as objective-functions (OFs), and compression-ratio ( <jats:italic>γ</jats:italic> ) 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 ( <jats:italic>Ds</jats:italic> ) of three decision-making-methods (DMMs) which include Shannon Entropy, LINMAP and TOPSIS are utilized to compare optimization results. Results show that curves <jats:italic>P</jats:italic> versus <jats:italic>η</jats:italic> and <jats:italic>P</jats:italic> <jats:sub> <jats:italic>d</jats:italic> </jats:sub> versus <jats:italic>η</jats:italic> are loop-shaped ones, and curves <jats:italic>P</jats:italic> versus <jats:italic>γ</jats:italic> and <jats:italic>P</jats:italic> <jats:sub> <jats:italic>d</jats:italic> </jats:sub> versus <jats:italic>γ</jats:italic> are parabolic-like ones. With the increases of pre-expansion-ratio ( <jats:italic>ρ</jats:italic> ) and the maximum-temperature-ratio ( <jats:italic>τ</jats:italic> ), <jats:italic>P</jats:italic> <jats:sub> <jats:italic>d</jats:italic> </jats:sub> is improved. Modified Atkinson-cycle designed with <jats:italic>P</jats:italic> <jats:sub> <jats:italic>d</jats:italic> </jats:sub> as the OF has smaller size and higher <jats:italic>η</jats:italic> . Compared with traditional Atkinson-cycle, isothermal heating modified Atkinson-cycle performance is evidently improved, <jats:inline-formula> <jats:alternatives> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"> <m:mrow> <m:mover accent=\"true\"> <m:mi>P</m:mi> <m:mo>̄</m:mo> </m:mover> </m:mrow> </m:math> <jats:tex-math>$\\bar{P}$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_jnetdy-2025-0039_ineq_003.png\"/> </jats:alternatives> </jats:inline-formula> , <jats:italic>η</jats:italic> , <jats:inline-formula> <jats:alternatives> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"> <m:mrow> <m:mover accent=\"true\"> <m:mi>E</m:mi> <m:mo>̄</m:mo> </m:mover> </m:mrow> </m:math> <jats:tex-math>$\\bar{E}$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_jnetdy-2025-0039_ineq_004.png\"/> </jats:alternatives> </jats:inline-formula> , <jats:inline-formula> <jats:alternatives> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"> <m:mrow> <m:msub> <m:mover accent=\"true\"> <m:mi>P</m:mi> <m:mo>̄</m:mo> </m:mover> <m:mi>d</m:mi> </m:msub> </m:mrow> </m:math> <jats:tex-math>${\\bar{P}}_{d}$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_jnetdy-2025-0039_ineq_005.png\"/> </jats:alternatives> </jats:inline-formula> , <jats:inline-formula> <jats:alternatives> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"> <m:mrow> <m:msub> <m:mover accent=\"true\"> <m:mi>E</m:mi> <m:mo>̄</m:mo> </m:mover> <m:mi>p</m:mi> </m:msub> </m:mrow> </m:math> <jats:tex-math>${\\bar{E}}_{p}$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_jnetdy-2025-0039_ineq_006.png\"/> </jats:alternatives> </jats:inline-formula> 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.","PeriodicalId":16428,"journal":{"name":"Journal of Non-Equilibrium Thermodynamics","volume":"80 1","pages":""},"PeriodicalIF":3.6000,"publicationDate":"2025-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Non-Equilibrium Thermodynamics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1515/jnet-2025-0039","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
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. Taking P̄$\bar{P}$ , η , Pd , E and Ēp${\bar{E}}_{p}$ 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, P̄$\bar{P}$ , η , Ē$\bar{E}$ , P̄d${\bar{P}}_{d}$ , Ēp${\bar{E}}_{p}$ 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.
期刊介绍:
The Journal of Non-Equilibrium Thermodynamics serves as an international publication organ for new ideas, insights and results on non-equilibrium phenomena in science, engineering and related natural systems. The central aim of the journal is to provide a bridge between science and engineering and to promote scientific exchange on a) newly observed non-equilibrium phenomena, b) analytic or numeric modeling for their interpretation, c) vanguard methods to describe non-equilibrium phenomena.
Contributions should – among others – present novel approaches to analyzing, modeling and optimizing processes of engineering relevance such as transport processes of mass, momentum and energy, separation of fluid phases, reproduction of living cells, or energy conversion. The journal is particularly interested in contributions which add to the basic understanding of non-equilibrium phenomena in science and engineering, with systems of interest ranging from the macro- to the nano-level.
The Journal of Non-Equilibrium Thermodynamics has recently expanded its scope to place new emphasis on theoretical and experimental investigations of non-equilibrium phenomena in thermophysical, chemical, biochemical and abstract model systems of engineering relevance. We are therefore pleased to invite submissions which present newly observed non-equilibrium phenomena, analytic or fuzzy models for their interpretation, or new methods for their description.