Surrogate-assisted optimization for solving the multi-objective refrigeration system optimization problem for a 3-level refrigeration plant with economizer

Main Article Content

Khongdech Kamnuk
Natee Panagant
Sujin Bureerat
Nantiwat Pholdee

Abstract

In this study, the procedure of surrogate-assisted optimization is constructed to solve the multi-objective design problem of a refrigeration system. In the refrigeration process, the required coefficient of performance (COP) can be varied to the required cooling loads. In this case, the optimum operating conditions for a specified COP range is required to reduce the power consumption of the system. In this situation, the problem turns into a multi-objective optimization problem to simultaneously maximize COP and minimize power consumption. A surrogate model of the COP and power consumption are generated using several kernel functions. The best model using a linear spline kernel function is selected and used in the optimization process. A comparative study of several recent and well-known multi-objective metaheuristics was performed to measure performance of the available algorithms. The Pareto fronts containing optimum operating conditions for the refrigeration plant over the entire range of COP values were obtained in this study.

Article Details

How to Cite
Kamnuk, K., Panagant, N., Bureerat, S., & Pholdee, N. (2023). Surrogate-assisted optimization for solving the multi-objective refrigeration system optimization problem for a 3-level refrigeration plant with economizer. Engineering and Applied Science Research, 50(4), 291–297. Retrieved from https://ph01.tci-thaijo.org/index.php/easr/article/view/251055
Section
ORIGINAL RESEARCH

References

Energy Policy and Planning Office (EPPO), Ministry of Energy. Energy Statistics of Thailand 2021 [Internet]. 2021 [ cited 2022 Nov 23]. Available from: https://www.energy.go.th/th/annual-energy-statistics-report/download?did=97989&filename=EnergyStatistics2021.pdf&mid=14573&mkey=m_document&lang=th&url=%2Fweb-upload%2F1xff0d34e409a13ef56eea54c52a291126%2Fm_document%2F14573%2F16279%2Ffile_download%2F91ac47c586ce1ecf0c19196c6b75b596.pdf. (In Thai)

Wucher H, Klingshirn A, Brugger L, Stamminger R, Kölzer B, Engstler A, et al. Evaluation of humidity retention in refrigerator storage systems by application of a food simulant. Int J Refrig. 2021;130:161-9.

Kono S, Kawamura I, Araki T, Sagara Y. ANN modeling for optimum storage condition based on viscoelastic characteristics and sensory evaluation of frozen cooked rice. Int J Refrig. 2016;65:218-27.

Ahmed R, Mahadzir S, Erniza B Rozali N, Biswas K, Matovu F, Ahmed K. Artificial intelligence techniques in refrigeration system modelling and optimization: a multi-disciplinary review. Sustain Energy Technol Assess. 2021;47:101488.

Huirem B, Sahoo PK. Thermodynamic modeling and performance optimization of a solar-assisted vapor absorption refrigeration system (SAVARS). Int J Air-Cond Refrig. 2020;28(1):1-18.

Redhwan AAM, Azmi WH, Najafi G, Sharif MZ, Zawawi NNM. Application of response surface methodology in optimization of automotive air-conditioning performance operating with SiO 2 /PAG nanolubricant. J Therm Anal Calorim. 2019;135:1269-83.

Austin N, Senthilkumar P, Purushothaman S. Implementation of mixed refrigerants suitability by using radial basis function neural network. Artif Intell Syst Mach Learn. 2012;4(4):194-7.

de Paula CH, Duarte WM, Rocha TTM, de Oliveira RN, Maia AAT. Optimal design and environmental, energy and exergy analysis of a vapor compression refrigeration system using R290, R1234yf, and R744 as alternatives to replace R134a. Int J Refrig. 2020;113:10-20.

Belman-Flores JM, Mota-Babiloni A, Ledesma S, Makhnatch P. Using ANNs to approach to the energy performance for a small refrigeration system working with R134a and two alternative lower GWP mixtures. Appl Therm Eng. 2017;127:996-1004.

Deymi-Dashtebayaz M, Maddah S, Fallahi E. Thermo-economic-environmental optimization of injection mass flow rate in the two-stage compression refrigeration cycle (Case study: Mobarakeh steel company in Isfahan, Iran). Int J Refrig. 2019;106:7-17.

Cui P, Yu M, Liu Z, Zhu Z, Yang S. Energy, exergy, and economic (3E) analyses and multi-objective optimization of a cascade absorption refrigeration system for low-grade waste heat recovery. Energy Convers Manag. 2019;184:249-61.

Arshad MU, Zaman M, Rizwan M, Elkamel A. Economic optimization of parallel and series configurations of the double effect absorption refrigeration system. Energy Convers Manag. 2020;210:112661.

Rahman AA, Zhang X. Single-objective optimization for stack unit of standing wave thermoacoustic refrigerator through particle swarm optimization method. Energy Procedia. 2019;158:5445-52.

Roy R, Mandal BK. Thermo-economic analysis and multi-objective optimization of vapour cascade refrigeration system using different refrigerant combinations: A comparative study. J Therm Anal Calorim. 2020;139:3247-61.

Zendehboudi A, Mota-Babiloni A, Makhnatch P, Saidur R, Sait SM. Modeling and multi-objective optimization of an R450A vapor compression refrigeration system. Int J Refrig. 2019;100:141-55.

Wang N, Li C, Li W, Chen X, Li Y, Qi D. Heat dissipation optimization for a serpentine liquid cooling battery thermal management system: An application of surrogate assisted approach. J Energy Storage. 2021;40:102771.

Ghaderian M, Veysi F. Multi-objective optimization of energy efficiency and thermal comfort in an existing office building using NSGA-II with fitness approximation: a case study. J Build Eng. 2021;41:102440.

Kong D, Yin X, Ding X, Fang N, Duan P. Global optimization of a vapor compression refrigeration system with a self-adaptive differential evolution algorithm. Appl Therm Eng. 2021;197:117427.

Jangir P, Rajya R, Prasaran V, Limited N, Bhesdadiya R, Ladumor D, et al. A multi-objective grey wolf optimization algorithm for economic/environmental dispatch. International Conference on Recent Trends in Engineering, Science and Technology; 2016 Jun 1; Hyderabad, India. p. 1-9.

Hassan MH, Kamel S, Domínguez-García JL, El-Naggar MF. MSSA-DEED: a multi-objective salp swarm algorithm for solving dynamic economic emission dispatch problems. Sustainability. 2022;14(15):9785.

Anosri S, Panagant N, Bureerat S, Pholdee N. Success history based adaptive multi-objective differential evolution variants with an interval scheme for solving simultaneous topology, shape and sizing truss reliability optimisation. Knowl Based Syst. 2022;253:109533.

Panagant N, Bureerat S, Tai K. A novel self-adaptive hybrid multi-objective meta-heuristic for reliability design of trusses with simultaneous topology, shape and sizing optimisation design variables. Struct Multidisc Optim. 2019;60:1937-55.

Biedrzycki R, Kwiatkowski K, Cichosz P. Compressor schedule optimization for a refrigerated warehouse using metaheuristic algorithms. IEEE Congress on Evolutionary Computation (CEC); 2021 Jun 28-Jul 1; Kraków, Poland. USA: IEEE; 2021. p. 201-8

American Society of Heating, Refrigerating and Air-Conditioning Engineers. 1997 ASHRAE Handbook [Internet]. 1997 [cited 2022 Nov 23]. Available from: http://www.ashrae.org.

Hussain MF, Barton RR, Joshi SB. Metamodeling: radial basis functions, versus polynomials. Eur J Oper Res. 2002;138(1):142-54.

Sujin Bureerat. Apply optimization for mechanical engineering 1. Khon Kaen: Khon Kaen University; 2013. (In Thai)

Mehmani A, Chowdhury S, Meinrenken C, Messac A. Concurrent surrogate model selection (COSMOS): optimizing model type, kernel function, and hyper-parameters. Struct Multidisc Optim. 2018;57:1093-114.

Jin R, Chen W, Simpson TW. Comparative studies of metamodelling techniques under multiple modelling criteria. Struct Multidisc Optim. 2001;23:1-13.

Deb K, Pratap A, Agarwal S, Meyarivan T. A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput. 2002;6(2):182-97.

Pak TC, Ri YC. Optimum designing of the vapor compression heat pump using system using genetic algorithm. Appl Therm Eng. 2019;147:492-500.

Petrović M, Jokić A, Miljković Z, Kulesza Z. Multi-objective scheduling of a single mobile robot based on the grey wolf optimization algorithm. Appl Soft Comput. 2022;131:109784.

Ridha HM, Gomes C, Hizam H, Mirjalili S. Multiple scenarios multi-objective salp swarm optimization for sizing of standalone photovoltaic system. Renew Energy. 2020;153:1330-45.

Zhang J, Sanderson AC. JADE: Adaptive differential evolution with optional external archive. IEEE Trans Evol Comput. 2009;13(5):945-58.

Tanabe R, Fukunaga A. Success-history based parameter adaptation for differential evolution. 2013 IEEE Congress on Evolutionary Computation; 2013 Jun 20-23; Cancun, Mexico. USA: IEEE; 2013. p. 71-8.

Mirjalili S, Lewis A. The whale optimization algorithm. Adv Eng Softw. 2016;95:51-67.

Bureerat S. Hybrid population-based incremental learning using real codes. In: Coello CAC, editor. Learning and Intelligent Optimization. LION 2011: Lecture Notes in Computer Science, vol 6683. Berlin: Springer; 2011. p. 379-91.

Fonseca CM, Paquete L, López-Ibáñez M. An improved dimension-sweep algorithm for the hypervolume indicator. 2006 IEEE International Conference on Evolutionary Computation; 2006 Jul 16-21; Vancouver, Canada. USA: IEEE; 2006. p. 1157-63.