Synthesis of refrigeration system based on generalized disjunctive programming model

doi:10.1016/j.cjche.2017.10.017

Chin.J.Chem.Eng. ›› 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 • Previous Articles Next Articles

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:2018-09-21 Published:2018-08-28
Contact: Yiqing Luo,E-mail address:luoyq@tju.edu.cn
Supported by:
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

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).

Abstract

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)

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)

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.

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.

References

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Synthesis of refrigeration system based on generalized disjunctive programming model

Synthesis of refrigeration system based on generalized disjunctive programming model

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