Multi-objective optimization of an endoreversible closed Atkinson cycle

Zheng Gong; Yanlin Ge; Lingen Chen; Huijun Feng

doi:10.1515/jnet-2023-0051

Published by De Gruyter November 24, 2023

Multi-objective optimization of an endoreversible closed Atkinson cycle

Zheng Gong , Yanlin Ge , Lingen Chen and Huijun Feng

From the journal Journal of Non-Equilibrium Thermodynamics

https://doi.org/10.1515/jnet-2023-0051

Showing a limited preview of this publication:

Abstract

Based on finite-time-thermodynamic theory and the model established in previous literature, the multi-objective optimization analysis for an endoreversible closed Atkinson cycle is conducted through using the NSGA-II algorithm. With the final state point temperature (T ₂) of cycle compression process as the optimization variable and the thermal efficiency (η), the dimensionless efficient power ( E ̄ P ), the dimensionless ecological function ( E ̄ ) and the dimensionless power ( P ̄ ) as the optimization objectives, the influences of T ₂ on the four optimization objectives are analyzed, multi-objective optimization analyses of single-, two-, three- and four-objective are conducted, and the optimal cycle optimization objective combination is chosen by using three decision-making methods which include LINMAP, TOPSIS, and Shannon Entropy. The result shows that when four-objective optimization is conducted, with the ascent of T ₂, P ̄ descends, η ascends, both E ̄ and E ̄ P firstly ascend and then descend. In this situation, the deviation index is the smallest and equals to 0.2657 under the decision-making method of Shannon Entropy, so its optimization result is the optimal. The multi-objective optimization results are able to provide certain guidelines for the design of practical closed Atkinson cycle heat engine.

Keywords: finite time thermodynamics; closed Atkinson cycle; multi-objective optimization; NSGA-II algorithm; ecological function; efficient power

Corresponding author: Lingen Chen, Institute of Thermal Science and Power Engineering, Wuhan Institute of Technology, Wuhan, 430205, P.R. China; Hubei Provincial Engineering Technology Research Center of Green Chemical Equipment, Wuhan 430205, P.R. China; and School of Mechanical & Electrical Engineering, Wuhan Institute of Technology, Wuhan, 430205, P.R. China, E-mail: lingenchen@hotmail.com, 2506715339@qq.com

Funding source: National Natural Science Foundation of China

Award Identifier / Grant number: 52171317 and 51779262

Funding source: Wuhan Institute of Technology

Award Identifier / Grant number: CX2022080

Acknowledgments

The authors wish to thank the reviewer for the careful, unbiased and constructive suggestions, which led to this revised manuscript.

Research ethics: Not applicable.
Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.
Competing interests: The authors declare no conflicts of interest regarding this article.
Research funding: This work is supported by the National Natural Science Foundation of China (Project Nos. 52171317 and 51779262) and Graduate Innovative Fund of Wuhan Institute of Technology (Project No. CX2022080).
Data availability: The raw data can be obtained on request from the corresponding author.

Nomenclature

C: thermal capacity rate (kW/K)
E: effectiveness of heat exchanger or ecological function (W)
E _P: efficient power (W)
k: specific heat ratio
N: number of the heat transfer unit
P: power output (W)
P _d: power density (W/m³)
T: temperature (K)
T ₀: ambient temperature (K)
U: heat conductance (kW/K)

Greek symbols
η: thermal efficiency
τ: temperature ratio of heat reservoirs
σ: entropy generation rate (W/K)

Subscripts
H: hot-side
L: cold-side
wf: working fluid
max: maximum value
1–4: cycle state points

Superscripts
̄: dimensionless

Abbreviations
AC: Atkinson cycle
DI: deviation index
DMM: decision-making method
FTT: finite time thermodynamics
HE: heat engine
MOO: multi-objective optimization
OO: optimization objective
SH: specific heat

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Received: 2023-06-24

Accepted: 2023-11-01

Published Online: 2023-11-24

Published in Print: 2024-01-29

Multi-objective optimization of an endoreversible closed Atkinson cycle

Abstract

Acknowledgments

Nomenclature

References

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