Matrix Non-Structural Model and Its Application in Heat Exchanger Network without Stream Split

Heat integration by a heat exchanger network (HEN) is an important topic in chemical process system synthesis. From the perspective of optimization, the simultaneous synthesis of HEN belongs to a mixed-integer and nonlinear programming problem. Both the stage-wise superstructure (SWS) model and the...

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Published in:	Processes Vol. 11; no. 6; p. 1843
Main Authors:	Li, Dinghao, Wang, Jingde, Sun, Wei, Zhang, Nan
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01.06.2023
Subjects:	Algorithms Chemical synthesis Cost control Design Energy consumption Equipment and supplies Genetic algorithms Global optimization Heat Heat exchangers Heat recovery systems Heat transfer Heating Linear programming Matching Mathematical programming Mixed integer Nonlinear programming Optimization techniques Structural models Superstructures
ISSN:	2227-9717, 2227-9717
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Abstract	Heat integration by a heat exchanger network (HEN) is an important topic in chemical process system synthesis. From the perspective of optimization, the simultaneous synthesis of HEN belongs to a mixed-integer and nonlinear programming problem. Both the stage-wise superstructure (SWS) model and the chessboard model are the most widely adopted and belong to structural models, in which a framework is assumed for stream matching, and the global optimal solution outside its feasible domain may be defined by the framework. A node-wise non-structural model (NW-NSM) is proposed to find more universal stream matching options, but it requires a mass of structural variables and extra multiple correction strategies. The aim of this paper is to develop a novel matrix non-structural model (M-NSM) for HEN without stream splits from the perspectives of global optimization methods and superstructure models. In the proposed M-NSM, the heat exchanger position order is quantized by matrix elements at each stream, and a HEN structure is initialized by the random generation of matrix elements. An approach for solving HEN problems based on a matrix real-coded genetic algorithm is employed in this model. The results show that M-NSM provides more flexibility to expand the search region for feasible solutions with higher efficiency than previous models.
AbstractList	Heat integration by a heat exchanger network (HEN) is an important topic in chemical process system synthesis. From the perspective of optimization, the simultaneous synthesis of HEN belongs to a mixed-integer and nonlinear programming problem. Both the stage-wise superstructure (SWS) model and the chessboard model are the most widely adopted and belong to structural models, in which a framework is assumed for stream matching, and the global optimal solution outside its feasible domain may be defined by the framework. A node-wise non-structural model (NW-NSM) is proposed to find more universal stream matching options, but it requires a mass of structural variables and extra multiple correction strategies. The aim of this paper is to develop a novel matrix non-structural model (M-NSM) for HEN without stream splits from the perspectives of global optimization methods and superstructure models. In the proposed M-NSM, the heat exchanger position order is quantized by matrix elements at each stream, and a HEN structure is initialized by the random generation of matrix elements. An approach for solving HEN problems based on a matrix real-coded genetic algorithm is employed in this model. The results show that M-NSM provides more flexibility to expand the search region for feasible solutions with higher efficiency than previous models.
Audience	Academic
Author	Sun, Wei Wang, Jingde Zhang, Nan Li, Dinghao
Author_xml	– sequence: 1 givenname: Dinghao surname: Li fullname: Li, Dinghao – sequence: 2 givenname: Jingde orcidid: 0000-0003-2170-5109 surname: Wang fullname: Wang, Jingde – sequence: 3 givenname: Wei orcidid: 0000-0003-4027-3751 surname: Sun fullname: Sun, Wei – sequence: 4 givenname: Nan orcidid: 0000-0002-4996-9539 surname: Zhang fullname: Zhang, Nan
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SubjectTerms	Algorithms Chemical synthesis Cost control Design Energy consumption Equipment and supplies Genetic algorithms Global optimization Heat Heat exchangers Heat recovery systems Heat transfer Heating Linear programming Matching Mathematical programming Mixed integer Nonlinear programming Optimization techniques Structural models Superstructures
Title	Matrix Non-Structural Model and Its Application in Heat Exchanger Network without Stream Split
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