Globally optimal synthesis of heat exchanger networks. Part <scp>II</scp>: <scp>Non‐minimal</scp> networks

Chang, Chenglin; Liao, Zuwei; Costa, André L.H.; Bagajewicz, Miguel J.

doi:10.1002/aic.16264

Cited by 11 publications

(3 citation statements)

References 15 publications

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“…A good number of modifications/improvements have been presented to the original version to deal for example with non-isothermal mixing (Björk and Westerlund, 2002;Huang et al, 2012) multiple utilities (Ponce-Ortega et al, 2009), etc. Recently Chang et al (2020a), Chang et al (2020b) proposed a smart enumeration algorithm that authors conjecture is the global optimal solution and can tackle even large-scale problems.…”

Section: Introductionmentioning

confidence: 99%

A Novel Sequential Approach for the Design of Heat Exchanger Networks

Pavão¹,

Costa²,

Ravagnani³

2021

Front. Chem. Eng.

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This paper presents a new algorithm for the design of heat exchanger networks (HEN) that tries to take advantage of the strengths of the sequential and simultaneous approaches. It is divided into two sequential parts. The first one is an adaptation of the transportation model (TransHEN). It maintains the concept of temperature intervals and considers the possibility of heat transfer between all the hot and cold streams inside those intervals, and at the same time it allows the a priori calculation of the logarithmic mean temperature difference between all possible heat exchanges, and therefore it maintains the area estimation linear in the model. The second step (HENDesign model), uses a superstructure that contains all the possible alternatives in which the matches predicted by the first stage model can exchange heat to design the final heat exchanger network. Unlike the sequential approach, in this model, all heat flows, temperatures, areas, etc. are reoptimized maintaining the set of matches predicted in the first stage. The model is highly nonlinear and nonconvex, however, it is relatively easy to get good results, because the model starts with the values predicted by the TransHEN model. The algorithm has been tested using fifteen benchmark problems commonly used in literature to compare the performance of heat exchanger network algorithms. In eleven out of the fifteen cases present better or equal results than the best ones reported in the open literature. In three the results presented only marginal differences in total annualized cost (lower than 0.5%) and only a difference of 2.4% in the largest one.

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Section: Introductionmentioning

confidence: 99%

A Novel Sequential Approach for the Design of Heat Exchanger Networks

Pavão¹,

Costa²,

Ravagnani³

2021

Front. Chem. Eng.

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“…Departing from the exclusive use of MINLP procedures, in Parts I and II of this research, 31,32 we proposed a novel solution procedure based on the exhaustive enumeration and smart enumeration of network structures, aided by low demanding mathematical programming procedures. The smart enumeration that we refer to is Option 1 in our Parts I and II, where a lower bound (LB) model is run with a stopping criteria to generate HEN network structures one by one until the LB is larger than the incumbent best value.…”

Section: Introductionmentioning

confidence: 99%

Globally optimal synthesis of heat exchanger networks. Part III: Non‐isothermal mixing in minimal and non‐minimal networks

et al. 2021

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In this work, the enumeration algorithms presented in Parts I and II for the globally optimal synthesis of minimal and non‐minimal heat exchanger networks are extended to consider non‐isothermal mixing. New mathematical models, including non‐isothermal mixing constraints, are proposed to target the bounds of energy consumption and the binding exchanger minimum approximation temperature. These models are solved using the algorithms, which involve solving systems of equations instead of mathematical programming. Three global optimization strategies are proposed to optimize each enumerated structure, involving the use of a global solver directly, or the use of a Golden Search based on energy consumption and a flowrate optimization model considering non‐isothermal mixing. The flowrate optimization model is reformulated as a convex problem, which is solved by using nonlinear programming or a mathematical programming‐free methodology, that is, solving Karush–Kuhn–Tucker equations. A new Global Optimum Search Algorithm is developed and examples are tested comparing different optimization strategies.

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“…[1] Therefore, it is of great importance to design the optimal STHE to enhance heat transfer performance, [2,3] decrease device sizes, [4,5] and lower economic costs. [6][7][8] Over the past few decades, significant efforts have been devoted with broad applications to industrial practice, bringing considerable energy saving, [9] economic profit, [10][11][12] and environmental benefits. [13,14] Early attempts to design STHE from the typical book [15] and classical textbook [16] used an effective trialand-error procedure.…”

mentioning

confidence: 99%

Global optimization of the design of intensified shell and tube heat exchanger using tube inserts

Chang,

Shen

2023

Can J Chem Eng

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This paper investigates global optimization of the detailed design of intensified shell and tube heat exchangers using two tube inserts: twisted tape and coiled wire. Three objectives, including heat exchanger area, total annualized cost, and environmental impact, are respectively minimized. All the design variables are considered as the ones that have discrete values based on their physical nature or manufacturing standards. We present, for the first time, a tailored global optimization approach for the design of intensified shell and tube heat exchanger: Set trimming procedure. We compare the computational performance of our set trimming procedure, exhaustive enumeration, and commercial solvers. The proposed three objectives have certain competitive relationships and multi‐objective optimization is performed to analyze the conflicts among them. Two literature examples are tested for illustration purposes. The solution results indicate that the intensified heat exchanger designed using tube inserts compares well to the regular heat exchanger using plain tube. Compared with commercial solvers, set trimming procedure runs fast and can converge to global optimum without initial value. The pareto‐optimal solutions of multi‐objective optimization provide holistic trade‐offs between different objectives, hence helping the process designer make proper decisions for the design of intensified shell and tube heat exchangers.

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Globally optimal synthesis of heat exchanger networks. Part II: Non‐minimal networks

Cited by 11 publications

References 15 publications

A Novel Sequential Approach for the Design of Heat Exchanger Networks

A Novel Sequential Approach for the Design of Heat Exchanger Networks

Globally optimal synthesis of heat exchanger networks. Part III: Non‐isothermal mixing in minimal and non‐minimal networks

Global optimization of the design of intensified shell and tube heat exchanger using tube inserts

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