{"title":"内可逆简单空气制冷循环的高效生态功能分析和多目标优化","authors":"Zijian Xu, Yanlin Ge, Lingen Chen, Huijun Feng","doi":"10.1515/jnet-2024-0045","DOIUrl":null,"url":null,"abstract":"Combining finite time thermodynamics and exergetic analysis, analogous to the definition of ecological efficient power for heat engines, this paper proposes a unified performance indicator for various cycles, exergy-based efficient ecological function (<jats:italic>E</jats:italic> <jats:sub> <jats:italic>ɛ</jats:italic> </jats:sub>) which is defined as product of exergy-based ecological function and coefficient of performance, and introduces it into performance optimization of endoreversible simple air refrigerator cycle coupled to constant-temperature heat reservoirs. Relations among <jats:italic>E</jats:italic> <jats:sub> <jats:italic>ɛ</jats:italic> </jats:sub>, pressure ratio (<jats:italic>π</jats:italic>) and heat conductance distribution ratio (<jats:italic>u</jats:italic>) are derived by using numerical method. The cycle performance indicators which include cooling load (<jats:italic>R</jats:italic>), coefficient of performance (<jats:italic>ɛ</jats:italic>), and exergetic loss rate (<jats:italic>E</jats:italic> <jats:sub>out</jats:sub>/<jats:italic>T</jats:italic> <jats:sub>0</jats:sub>) under the different maximum objective criteria are compared. Taking <jats:italic>π</jats:italic> as optimal variable, and taking <jats:italic>R</jats:italic>, <jats:italic>ɛ</jats:italic>, cooling load density (<jats:italic>r</jats:italic>), <jats:italic>E</jats:italic> <jats:sub> <jats:italic>ɛ</jats:italic> </jats:sub> and their combinations as optimization objectives, multi-objective optimizations, totally 15 optimization combinations, are performed by using NASG-II algorithm. The results demonstrate that, the maximum <jats:italic>E</jats:italic> <jats:sub> <jats:italic>ɛ</jats:italic> </jats:sub> criteria can better reflect the compromise among <jats:italic>R</jats:italic>, <jats:italic>ɛ</jats:italic> and <jats:italic>E</jats:italic> <jats:sub>out</jats:sub>/<jats:italic>T</jats:italic> <jats:sub>0</jats:sub>. The Pareto solution sets are majorly distributed in 2.5–20 when quadru-objective optimizations are performed. The option selected by LINMAP decision-making method is closer to ideal solution when bi-objective optimization of <jats:italic>ɛ</jats:italic> and <jats:italic>r</jats:italic> is carried out.","PeriodicalId":16428,"journal":{"name":"Journal of Non-Equilibrium Thermodynamics","volume":"3 1","pages":""},"PeriodicalIF":4.3000,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Efficient ecological function analysis and multi-objective optimizations for an endoreversible simple air refrigerator cycle\",\"authors\":\"Zijian Xu, Yanlin Ge, Lingen Chen, Huijun Feng\",\"doi\":\"10.1515/jnet-2024-0045\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Combining finite time thermodynamics and exergetic analysis, analogous to the definition of ecological efficient power for heat engines, this paper proposes a unified performance indicator for various cycles, exergy-based efficient ecological function (<jats:italic>E</jats:italic> <jats:sub> <jats:italic>ɛ</jats:italic> </jats:sub>) which is defined as product of exergy-based ecological function and coefficient of performance, and introduces it into performance optimization of endoreversible simple air refrigerator cycle coupled to constant-temperature heat reservoirs. Relations among <jats:italic>E</jats:italic> <jats:sub> <jats:italic>ɛ</jats:italic> </jats:sub>, pressure ratio (<jats:italic>π</jats:italic>) and heat conductance distribution ratio (<jats:italic>u</jats:italic>) are derived by using numerical method. The cycle performance indicators which include cooling load (<jats:italic>R</jats:italic>), coefficient of performance (<jats:italic>ɛ</jats:italic>), and exergetic loss rate (<jats:italic>E</jats:italic> <jats:sub>out</jats:sub>/<jats:italic>T</jats:italic> <jats:sub>0</jats:sub>) under the different maximum objective criteria are compared. Taking <jats:italic>π</jats:italic> as optimal variable, and taking <jats:italic>R</jats:italic>, <jats:italic>ɛ</jats:italic>, cooling load density (<jats:italic>r</jats:italic>), <jats:italic>E</jats:italic> <jats:sub> <jats:italic>ɛ</jats:italic> </jats:sub> and their combinations as optimization objectives, multi-objective optimizations, totally 15 optimization combinations, are performed by using NASG-II algorithm. The results demonstrate that, the maximum <jats:italic>E</jats:italic> <jats:sub> <jats:italic>ɛ</jats:italic> </jats:sub> criteria can better reflect the compromise among <jats:italic>R</jats:italic>, <jats:italic>ɛ</jats:italic> and <jats:italic>E</jats:italic> <jats:sub>out</jats:sub>/<jats:italic>T</jats:italic> <jats:sub>0</jats:sub>. The Pareto solution sets are majorly distributed in 2.5–20 when quadru-objective optimizations are performed. The option selected by LINMAP decision-making method is closer to ideal solution when bi-objective optimization of <jats:italic>ɛ</jats:italic> and <jats:italic>r</jats:italic> is carried out.\",\"PeriodicalId\":16428,\"journal\":{\"name\":\"Journal of Non-Equilibrium Thermodynamics\",\"volume\":\"3 1\",\"pages\":\"\"},\"PeriodicalIF\":4.3000,\"publicationDate\":\"2024-10-05\",\"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-2024-0045\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Non-Equilibrium Thermodynamics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1515/jnet-2024-0045","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
摘要
本文结合有限时间热力学和能效分析,类比热机生态效率功率的定义,提出了各种循环的统一性能指标--基于能效的高效生态函数(E ɛ ),定义为基于能效的生态函数与性能系数的乘积,并将其引入到与恒温蓄热器耦合的内逆简单空气制冷循环的性能优化中。通过数值方法推导出 E ɛ、压力比 (π) 和热传导分布比 (u) 之间的关系。比较了不同最大目标标准下的循环性能指标,包括冷却负荷(R)、性能系数(ɛ)和能效损失率(E out/T 0)。以 π 为最优变量,以 R、ɛ、冷却负荷密度 (r)、E ɛ 及其组合为优化目标,采用 NASG-II 算法进行多目标优化,共优化组合 15 个。结果表明,最大 E ɛ 标准能较好地反映 R、ɛ 和 E out/T 0 之间的折衷关系,在进行四目标优化时,帕累托解集主要分布在 2.5-20 之间。当对 ɛ 和 r 进行双目标优化时,LINMAP 决策方法选择的方案更接近理想方案。
Efficient ecological function analysis and multi-objective optimizations for an endoreversible simple air refrigerator cycle
Combining finite time thermodynamics and exergetic analysis, analogous to the definition of ecological efficient power for heat engines, this paper proposes a unified performance indicator for various cycles, exergy-based efficient ecological function (Eɛ) which is defined as product of exergy-based ecological function and coefficient of performance, and introduces it into performance optimization of endoreversible simple air refrigerator cycle coupled to constant-temperature heat reservoirs. Relations among Eɛ, pressure ratio (π) and heat conductance distribution ratio (u) are derived by using numerical method. The cycle performance indicators which include cooling load (R), coefficient of performance (ɛ), and exergetic loss rate (Eout/T0) under the different maximum objective criteria are compared. Taking π as optimal variable, and taking R, ɛ, cooling load density (r), Eɛ and their combinations as optimization objectives, multi-objective optimizations, totally 15 optimization combinations, are performed by using NASG-II algorithm. The results demonstrate that, the maximum Eɛ criteria can better reflect the compromise among R, ɛ and Eout/T0. The Pareto solution sets are majorly distributed in 2.5–20 when quadru-objective optimizations are performed. The option selected by LINMAP decision-making method is closer to ideal solution when bi-objective optimization of ɛ and r is carried out.
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.