Synthesis of refrigeration system based on generalized disjunctive programming model

doi:10.1016/j.cjche.2017.10.017

Chinese Journal of Chemical Engineering ›› 2018, Vol. 26 ›› Issue (8): 1613-1620.DOI: 10.1016/j.cjche.2017.10.017

• Selected Papers from the Chinese Process Systems Engineering Annual Meeting 2017 • 上一篇下一篇

Synthesis of refrigeration system based on generalized disjunctive programming model

Danlei Chen¹, Xue Ma¹, Yiqing Luo¹, Yingjie Ma¹, Xigang Yuan^1,2

1 School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China;
2 State Key Laboratory of Chemical Engineering, Tianjin University, Tianjin 300072, China

收稿日期:2017-09-17 出版日期:2018-08-28 发布日期:2018-09-21
通讯作者: Yiqing Luo,E-mail address:luoyq@tju.edu.cn
基金资助:
Supported by the National Natural Science Foundation of China (21676183).

Synthesis of refrigeration system based on generalized disjunctive programming model

Danlei Chen¹, Xue Ma¹, Yiqing Luo¹, Yingjie Ma¹, Xigang Yuan^1,2

1 School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China;
2 State Key Laboratory of Chemical Engineering, Tianjin University, Tianjin 300072, China

Received:2017-09-17 Online:2018-08-28 Published:2018-09-21
Contact: Yiqing Luo,E-mail address:luoyq@tju.edu.cn
Supported by:
Supported by the National Natural Science Foundation of China (21676183).

摘要/Abstract

摘要： Refrigeration system holds an important role in process industries. The optimal synthesis cannot only reduce the energy consumption, but also save the production costs. In this study, a general methodology is developed for the optimal design of refrigeration cycle and heat exchanger network (HEN) simultaneously. Taking the heat integration between the external heat sources/sinks and the refrigeration cycle into consideration, a superstructure with sub-coolers is developed. Through defining logical variables that indicate the relative temperature positions of refrigerant streams after sub-coolers, the synthesis is formulated as a Generalized Disjunctive Programming (GDP) problem based on LP transshipment model, with the target of minimizing the total compressor shaft work in the refrigeration system. The GDP model is then reformulated as a Mixed Integer Nonlinear Programming (MINLP) problem with the aid of binary variables and Big-M Constraint Method. The efficacy of the process synthesis model is demonstrated by a case study of ethylene refrigeration system. The result shows that the optimization can significantly reduce the exergy loss as well as the total compression shaft work.

关键词: Refrigeration system, Process synthesis, Generalized Disjunctive Programming (GDP), Mixed Integer Nonlinear Programming (MINLP)

Abstract: Refrigeration system holds an important role in process industries. The optimal synthesis cannot only reduce the energy consumption, but also save the production costs. In this study, a general methodology is developed for the optimal design of refrigeration cycle and heat exchanger network (HEN) simultaneously. Taking the heat integration between the external heat sources/sinks and the refrigeration cycle into consideration, a superstructure with sub-coolers is developed. Through defining logical variables that indicate the relative temperature positions of refrigerant streams after sub-coolers, the synthesis is formulated as a Generalized Disjunctive Programming (GDP) problem based on LP transshipment model, with the target of minimizing the total compressor shaft work in the refrigeration system. The GDP model is then reformulated as a Mixed Integer Nonlinear Programming (MINLP) problem with the aid of binary variables and Big-M Constraint Method. The efficacy of the process synthesis model is demonstrated by a case study of ethylene refrigeration system. The result shows that the optimization can significantly reduce the exergy loss as well as the total compression shaft work.

Key words: Refrigeration system, Process synthesis, Generalized Disjunctive Programming (GDP), Mixed Integer Nonlinear Programming (MINLP)

Danlei Chen, Xue Ma, Yiqing Luo, Yingjie Ma, Xigang Yuan. Synthesis of refrigeration system based on generalized disjunctive programming model[J]. Chinese Journal of Chemical Engineering, 2018, 26(8): 1613-1620.

Danlei Chen, Xue Ma, Yiqing Luo, Yingjie Ma, Xigang Yuan. Synthesis of refrigeration system based on generalized disjunctive programming model[J]. Chin.J.Chem.Eng., 2018, 26(8): 1613-1620.

参考文献

[1] F.J. Barnes, C.J. King, Synthesis of Cascade refrigeration and liquefaction systems, Ind. Eng. Chem. Process. Des. Dev. 13(1974) 11-16.

[2] W.B.C.A.R.S.H. Mah, Interactive synthesis of cascade refrigeration systems, Ind. Eng. Chem. Process. Des. Dev. 19(1980) m472-m476.

[3] M.R. Shelton, I.E. Grossmann, Optimal synthesis of integrated refrigeration systemsI:mixed-integer programming model, Comput. Chem. Eng. 10(1985) 461-477.

[4] T.R. Colmenares, W.D. Seider, Synthesis of cascade refrigeration systems integrated with chemical processes, Comput. Chem. Eng. 13(3) (1989) 247-258.

[5] R. Raman, I.E. Grossmann, Relation between MILP modeling and logical inference for chemical process synthesis, Comput. Chem. Eng. 15(2) (1991) 73-84.

[6] S. Vaidyaraman, C.D. Maranas, Optimal synthesis of refrigeration cycles and selection of refrigerants, AIChE J. 45(1999) 997-1017.

[7] J. Zhang, Y. Wen, Q. Xu, B. Chen, Global optimization of the multi-level refrigeration system in chemical plants, The First World Congress on Global Optimization in Engineering & Science, 2009.

[8] J. Zhang, Q. Xu, Cascade refrigeration system synthesis based on exergy analysis, Comput. Chem. Eng. 35(2011) 1901-1914.

[9] Y.Q. Luo, S.K. Feng, C.J. Sun, X.G. Yuan, A two-step design method for shaft work targeting on low-temperature process, Chin. J. Chem. Eng. 22(6) (2014) 664-668.

[10] H. Dinh, J. Zhang, Q. Xu, Process synthesis for cascade refrigeration system based on exergy analysis, AIChE J. 61(2015) 2471-2488.

[11] Soterios A. Papoulias, Ignacio E. Grossmann, A structural optimization approach in process synthesis-Ⅱ:heat recovery networks, Comput. Chem. Eng. 7(6) (1983) 707-721.

[12] J. Kallrath, Algebraic Modeling Systems, Springer, Berlin Heidelberg, 2012.

[13] F. Trespalacios, I. Grossmann, Review of mixed-integer nonlinear and generalized disjunctive programming methods, Chem. Ing. Tech. 86(7) (2014) 991-1012.

[14] A. Agarwal, A Novel MINLP Reformulation for Nonlinear Generalized Disjunctive Programming (GDP) Problems. Mathematics, 2015.

[15] J.M. Ponceortega, M. Sernagonzalez, A. Jimenezgutierrez, A disjunctive programming model for simultaneous synthesis and detailed design of cooling networks, Ind. Eng. Chem. Res. 48(6) (2009) 2991-3003.

[16] Y.Q. Luo, Z.M. Liu, S.C. Luo, X.G. Yuan, Thermodynamic analysis of non-isothermal mixing's influence on the energy target of water-using networks, Comput. Chem. Eng. 61(2013) 1-8.

Synthesis of refrigeration system based on generalized disjunctive programming model

Synthesis of refrigeration system based on generalized disjunctive programming model

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[5]	Arwa H. Rabie, Mahmoud M. El-Halwagi. Synthesis and Scheduling of Optimal Batch Water-recycle Networks[J]. , 2008, 16(3): 474-479.
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