New transshipment type MINLP model for heat exchanger network synthesis

Hong, Xiaodong; Liao, Zuwei; Wang, Jingdai; Yang, Yongrong

doi:10.1016/j.ces.2017.08.013

Cited by 19 publications

(24 citation statements)

References 43 publications

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“…Besides, several alternative structures neglected by the stage-wise superstructure 24 are considered in the modified transshipment model. 43,44 An illustration for nonisothermal mixing is shown in Figure 2-1, where a stream of 40 °C is merged with another stream in temperature level 40 °C. Note that the temperature of the other stream is a variable that is above 40 °C, while the flow rate of both streams are also variables.…”

Section: Mass Balance Between Freshwater and Wastewatermentioning

confidence: 99%

“…With the constructed temperature intervals and the location of each hot and cold stream, the modified , transshipment model of Papoulias and Grossmann is adopted to describe the heat flow pattern. Isothermal mixing and nonisothermal mixing can happen in the temperature levels by mass flows from source streams to demand streams and mass flows between substreams, whereas the indirect heat transfers can happen in each temperature interval.…”

Section: Introductionmentioning

confidence: 99%

“…To address this difficulty of large-scale cases, a novel model and a solution strategy are proposed in this paper. The proposed HIWN model originates from our newly developed TAC targeting approach43 and HEN model 44. These models are extended to involve the multiple contaminants constraints and wastewater treatment units.…”

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confidence: 99%

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Energy and Water Management for Industrial Large-Scale Water Networks: A Systematic Simultaneous Optimization Approach

Hong

Liao

Sun

et al. 2018

ACS Sustainable Chem. Eng.

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Water and energy management issues in process industries are generally related to the synthesis of heat integrated water networks (HIWN), because water and energy are inextricably intertwined in process water networks. The aim of this study is to present a novel mathematical programming model for HIWN synthesis problems and develop an efficient solution strategy. This research is an extension of our previous work, where the targeting of heat integrated water-using networks (HIWUN) has been addressed. In this model, wastewater treatment units and multiple contaminants are embedded, and the total annual cost (TAC) is optimized rather than targeting a simplified TAC. What is more, a three-step solution strategy is proposed to guarantee obtaining promising solutions. The freshwater consumption, the relaxed TAC (rTAC), and the TAC are optimized successively. Good initial points for the rigorous HIWN model in the last step can be generated by the minimizing the rTAC. Four examples including two large-scale examples are illustrated to demonstrate the applicability of the proposed model and the efficiency of the solution strategy. The results indicate that the proposed model is suitable for the synthesis of HIWN, and more significantly, better results for large-scale problems are achieved.

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Section: Mass Balance Between Freshwater and Wastewatermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Energy and Water Management for Industrial Large-Scale Water Networks: A Systematic Simultaneous Optimization Approach

Hong

Liao

Sun

et al. 2018

ACS Sustainable Chem. Eng.

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“…Numerous design technologies and methods have been developed with extensive application to industrial practice, as stated in review articles 1,2 and research publications, 3,4 to name a few. Of all the previous works on HEN synthesis, the approach that gains dominance is the one where a superstructure is proposed together with the formulation of a mixed‐integer nonlinear model (MINLM), which can be solved using mixed‐integer nonlinear programming (MINLP) procedures, 5,6 many times using decompositions, 7,8 or stochastic‐based methods (metaheuristics‐based methods), such as genetic algorithms, 9,10 simulated algorithms, 11,12 particle swarm optimization, 13,14 hybridization between different algorithms, 15,16 etc. We do not elaborate further on the literature review of the stochastic‐based methods, which cannot guarantee optimality, much less global optimality, and in general need specialized parameter tuning for a good computational performance.…”

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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“…Some of the most relevant efforts made in the last 5 years that do not address global optimization are by Wu et al, 20 who replace binaries by nonlinear approximations and solve an NLP using BARON because any other solver does not work without initial values. Hong et al 21 developed a new transshipment model that considers splitting, by-passing and recycling of streams as well as nonisothermal mixing (counting exchangers in a similar way that Barbaro and Bagajewicz 12 proposed). Beck and Hofmann, 22 aiming at reducing solution time, presented a novel linearization approach for HEN synthesis based on stage-wise superstructure ending in a MILP problem whose solutions are used to initialize the MINLP model.…”

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confidence: 99%

Globally optimal synthesis of heat exchanger networks. Part I: Minimal networks

et al. 2020

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This article introduces the concept of minimal structure (MSTR) and presents an enumeration algorithm for the synthesis of heat exchanger networks based on MSTR. Minimal Structures refer to a class of heat exchanger networks featuring acyclic heat transfer networks without energy loops. The enumerations used are either exhaustive or smart with a stopping criterion. Without loss of generality we use the isothermal mixing Synheat model, that is, the method applies identically to other superstructures, with likely variations in the optimization models associated to each step. A conjecture is used to state that the algorithm renders solutions that are globally optimal. Literature examples are used to demonstrate the capabilities of the enumeration algorithm. Most of our solutions compare favorably with the best reported ones in literature, with exceptions where the reported solution is not minimal.

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New transshipment type MINLP model for heat exchanger network synthesis

Cited by 19 publications

References 43 publications

Energy and Water Management for Industrial Large-Scale Water Networks: A Systematic Simultaneous Optimization Approach

Energy and Water Management for Industrial Large-Scale Water Networks: A Systematic Simultaneous Optimization Approach

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

Globally optimal synthesis of heat exchanger networks. Part I: Minimal networks

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