{"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":null,"pages":null},"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}
引用次数: 0
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 (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.