Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Atkinson Cycle with Nonlinear Variation of Working Fluid’s Specific Heat

Considering nonlinear variation of working fluid’s specific heat with its temperature, finite-time thermodynamic theory is applied to analyze and optimize the characteristics of an irreversible Atkinson cycle. Through numerical calculations, performance relationships between cycle dimensionless powe...

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Main Authors: Shuangshuang Shi, Yanlin Ge, Lingen Chen, Huijun Feng
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/14/14/4175
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author Shuangshuang Shi
Yanlin Ge
Lingen Chen
Huijun Feng
author_facet Shuangshuang Shi
Yanlin Ge
Lingen Chen
Huijun Feng
author_sort Shuangshuang Shi
collection DOAJ
description Considering nonlinear variation of working fluid’s specific heat with its temperature, finite-time thermodynamic theory is applied to analyze and optimize the characteristics of an irreversible Atkinson cycle. Through numerical calculations, performance relationships between cycle dimensionless power density versus compression ratio and dimensionless power density versus thermal efficiency are obtained, respectively. When the design parameters take certain specific values, the performance differences of reversible, endoreversible and irreversible Atkinson cycles are compared. The maximum specific volume ratio, maximum pressure ratio, and thermal efficiency under the conditions of the maximum power output and maximum power density are compared. Based on NSGA-II, the single-, bi-, tri-, and quadru-objective optimizations are performed when the compression ratio is used as the optimization variable, and the cycle dimensionless power output, thermal efficiency, dimensionless ecological function, and dimensionless power density are used as the optimization objectives. The deviation indexes are obtained based on LINMAP, TOPSIS, and Shannon entropy solutions under different combinations of optimization objectives. By comparing the deviation indexes of bi-, tri- and quadru-objective optimization and the deviation indexes of single-objective optimizations based on maximum power output, maximum thermal efficiency, maximum ecological function and maximum power density, it is found that the deviation indexes of multi-objective optimization are smaller, and the solution of multi-objective optimization is desirable. The comparison results show that when the LINMAP solution is optimized with the dimensionless power output, thermal efficiency, and dimensionless power density as the objective functions, the deviation index is 0.1247, and this optimization objective combination is the most ideal.
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spelling doaj.art-efe40c4add3f419e9bee1ecc57fd14342023-11-22T03:41:19ZengMDPI AGEnergies1996-10732021-07-011414417510.3390/en14144175Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Atkinson Cycle with Nonlinear Variation of Working Fluid’s Specific HeatShuangshuang Shi0Yanlin Ge1Lingen Chen2Huijun Feng3Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, ChinaInstitute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, ChinaInstitute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, ChinaInstitute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan 430205, ChinaConsidering nonlinear variation of working fluid’s specific heat with its temperature, finite-time thermodynamic theory is applied to analyze and optimize the characteristics of an irreversible Atkinson cycle. Through numerical calculations, performance relationships between cycle dimensionless power density versus compression ratio and dimensionless power density versus thermal efficiency are obtained, respectively. When the design parameters take certain specific values, the performance differences of reversible, endoreversible and irreversible Atkinson cycles are compared. The maximum specific volume ratio, maximum pressure ratio, and thermal efficiency under the conditions of the maximum power output and maximum power density are compared. Based on NSGA-II, the single-, bi-, tri-, and quadru-objective optimizations are performed when the compression ratio is used as the optimization variable, and the cycle dimensionless power output, thermal efficiency, dimensionless ecological function, and dimensionless power density are used as the optimization objectives. The deviation indexes are obtained based on LINMAP, TOPSIS, and Shannon entropy solutions under different combinations of optimization objectives. By comparing the deviation indexes of bi-, tri- and quadru-objective optimization and the deviation indexes of single-objective optimizations based on maximum power output, maximum thermal efficiency, maximum ecological function and maximum power density, it is found that the deviation indexes of multi-objective optimization are smaller, and the solution of multi-objective optimization is desirable. The comparison results show that when the LINMAP solution is optimized with the dimensionless power output, thermal efficiency, and dimensionless power density as the objective functions, the deviation index is 0.1247, and this optimization objective combination is the most ideal.https://www.mdpi.com/1996-1073/14/14/4175irreversible Atkinson cyclenonlinear variable specific heatNSGA-IImulti-objective optimizationfinite time thermodynamics
spellingShingle Shuangshuang Shi
Yanlin Ge
Lingen Chen
Huijun Feng
Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Atkinson Cycle with Nonlinear Variation of Working Fluid’s Specific Heat
Energies
irreversible Atkinson cycle
nonlinear variable specific heat
NSGA-II
multi-objective optimization
finite time thermodynamics
title Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Atkinson Cycle with Nonlinear Variation of Working Fluid’s Specific Heat
title_full Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Atkinson Cycle with Nonlinear Variation of Working Fluid’s Specific Heat
title_fullStr Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Atkinson Cycle with Nonlinear Variation of Working Fluid’s Specific Heat
title_full_unstemmed Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Atkinson Cycle with Nonlinear Variation of Working Fluid’s Specific Heat
title_short Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Atkinson Cycle with Nonlinear Variation of Working Fluid’s Specific Heat
title_sort performance optimizations with single bi tri and quadru objective for irreversible atkinson cycle with nonlinear variation of working fluid s specific heat
topic irreversible Atkinson cycle
nonlinear variable specific heat
NSGA-II
multi-objective optimization
finite time thermodynamics
url https://www.mdpi.com/1996-1073/14/14/4175
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AT lingenchen performanceoptimizationswithsinglebitriandquadruobjectiveforirreversibleatkinsoncyclewithnonlinearvariationofworkingfluidsspecificheat
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