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

IF 3.6 3区 工程技术 Q1 MECHANICS
Haosheng Feng, Yanlin Ge, Lingen Chen, Huijun Feng
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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 ( P d ), ecological-function ( E ), and efficient-power ( E p ) performances of modified Atkinson-cycle are analyzed and compared firstly. Taking P ̄ $\bar{P}$ , η , P d , E and E ̄ 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 P d versus η are loop-shaped ones, and curves P versus γ and P d versus γ are parabolic-like ones. With the increases of pre-expansion-ratio ( ρ ) and the maximum-temperature-ratio ( τ ), P d is improved. Modified Atkinson-cycle designed with P d 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.
空气标准等温加热改进阿特金森循环及其五目标和NSGA-II性能优化
本文建立了空气标准改进阿特金森循环的等温加热不可逆模型,首先对改进阿特金森循环的功率(P)、效率(η)、功率密度(P d)、生态功能(E)和效率功率(E P)性能进行了分析比较。以P $\bar{P}$, η, P d, E和E $ P ${\bar{E}}_{P}$为目标函数(OFs),以压缩比(γ)为优化变量,利用NSGA-II进一步完成了1个五目标优化、5个四目标优化、10个三目标优化、10个双目标优化和5个单目标优化。为了寻找最优解,利用Shannon熵、LINMAP和TOPSIS三种决策方法的偏差指数(Ds)对优化结果进行比较。结果表明,P - η曲线和P - d - η曲线为环状曲线,P - γ曲线和P - d - γ曲线为抛物线型曲线。随着预膨胀比(ρ)和最高温度比(τ)的增大,P d增大。以P d为OF设计的改进阿特金森循环具有更小的尺寸和更高的η值。与传统的阿特金森循环相比,等温加热改善了阿特金森循环的性能,P′$\bar{P}$、η、E′$\bar{E}$、P′d ${\bar{P}}_{d}$、E′P ${\bar{E}}_{P}$分别提高了30.18%、7.31%、39.57%、32.27%、47.60%。当以5个、4个、3个或2个目标进行优化时,目标数越多,改进的阿特金森循环的设计方案越合理,权衡设计性能越好。本文的主要贡献是建立了改进的阿特金森循环,并实现了5个OFs的moo。
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来源期刊
CiteScore
9.10
自引率
18.20%
发文量
31
审稿时长
1 months
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.
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