Design of Dividing‐Wall Columns by Mixed‐Integer Nonlinear Programming Optimization

Franke, Meik B.

doi:10.1002/cite.201700005

Cited by 21 publications

(5 citation statements)

References 49 publications

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“…In this work, the process flowsheet models are written in the equation-oriented modelling environment -Aspen Custom Modeler (ACM). The convenience of using process simulators is that it possesses unit operation models, submodels to calculate physical properties, and flow-sheeting capabilities (Franke, 2017). The solution is more practical since it can be applied to nonideal systems without making simplifying assumptions such as the ideality on liquid and gas phase.…”

Section: Methodsmentioning

confidence: 99%

A feasible path-based branch and bound algorithm for strongly nonconvex MINLP problems

Liu

Ma²,

Zhang³

et al. 2022

Front. Chem. Eng.

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In this paper, a feasible path-based branch and bound (B&B) algorithm is proposed to solve mixed-integer nonlinear programming problems with highly nonconvex nature through integration of the previously proposed hybrid feasible-path optimisation algorithm and the branch and bound method. The main advantage of this novel algorithm is that our previously proposed hybrid steady-state and time-relaxation-based optimisation algorithm is employed to solve a nonlinear programming (NLP) subproblem at each node during B&B. The solution from a parent node in B&B is used to initialize the NLP subproblems at the child nodes to improve computational efficiency. This approach allows circumventing complex initialisation procedure and overcoming difficulties in convergence of process simulation. The capability of the proposed algorithm is illustrated by several process synthesis and intensification problems using rigorous models.

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Section: Methodsmentioning

confidence: 99%

A feasible path-based branch and bound algorithm for strongly nonconvex MINLP problems

Liu

Ma²,

Zhang³

et al. 2022

Front. Chem. Eng.

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“…Gutieŕrez-Antonio and Briones-Rami ́rez 35 proposed optimization with a multiobjective genetic algorithm with neural networks as surrogate models. Franke 36 determined that DWCs are well suited for mixed-integer nonlinear programming optimization with modified generalized Benders decomposition algorithm. Su et al 37 developed an improved genetic algorithm to search solutions for stakeholders' preference.…”

Section: Optimization Methodmentioning

confidence: 99%

Regions of Optimality for Separation System Synthesis Using Rigorous Modeling, Stochastic Optimization, and Column Stacking

Lin

Huang

Ward

2020

Ind. Eng. Chem. Res.

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Alternatives for the separation of three-component zeotropic mixtures are compared using simulation optimization with the total annual cost as the objective function. Conventional two-column sequences with and without column stacking are compared with three types of dividing-wall columns (DWCs). All processes are modeled with a rigorous process simulator and optimized using simulated annealing. The results are represented using ternary maps and used to regress parameters of a model that predicts the relative cost of process alternatives as a function of the feed composition, relative volatilities, and ease of separation index. The results highlight the importance of considering column stacking when choosing a process alternative for the ternary separation: in some cases, the region where the stacked two-column configuration is preferable to a dividing-wall column is significantly larger than the area where a conventional two-column configuration is preferable to a dividing-wall column.

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“…Unlike its conventional counterparts, the DWDC involves a rather complicated topological configuration with not only double columns but also multiple separating sections, and this feature can allow it to have plenty of potential connections with the VRHP, including, for example, a DWDC involving a single VRHP, a DWDC involving multiple VRHPs, a DWDC involving multistage VRHPs, and a DWDC involving multiple VRHPs and multistage VRHPs. The great number of the potential topological configurations of the VRHP-DWDC leads inevitably to intensive and time-consuming work of process modeling, structural and operating parameter searching, and process screening during process synthesis and design and expands considerably the complexity and tediousness of process development and applications. − An effective way to address this issue is to decouple the topological configuration searching with the detailed structural and operating parameter searching during process synthesis and design, and this leads essentially to a sequential approach for the determination of process topological configuration and structural and operating design variables. The prerequisite is the prior determination of the optimum topological configuration of the VRHP-DWDC; as a result, the necessities of alternative process evaluations during process synthesis and design can be eliminated, thereby helping to lower the intensive and time-consuming work of process modeling, structural and operating parameter searching, and process screening.…”

Section: Introductionmentioning

confidence: 99%

Optimum Topological Configuration for the Vapor-Recompressed Dividing-Wall Distillation Columns Processing an Intermediate-Component-Dominated and Wide-Boiling-Point Ternary Mixture

Zhao

Zang

Huang

et al. 2022

Ind. Eng. Chem. Res.

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The configuration of double columns and multiple separating sections for a dividing-wall distillation column (DWDC) makes the applications of vapor recompression heat pumps (VRHPs) a challenging task with great complexity and tediousness. Although many researchers revealed the great advantages of the VRHP-assisted dividing-wall distillation columns (VRHP-DWDCs), they have actually neglected such inherent issues in process development. In the current work, the optimum topological configuration of the VRHP-DWDC, i.e., a DWDC with a middle partition facilitated by two VRHPs, is derived for the separations of intermediate-component-dominated and wide-boiling-point ternary mixtures in terms of steady-state operating characteristics. Because of the maximized mass and thermal coupling between the prefractionator and main distillation column involved, excessive heat always exists around the location of the intermediate product. Via the two VRHPs, the excessive heat can effectively be used to aid the separation operation in the stripping section of the prefractionator or in the common stripping section. The first VRHP helps to reduce the operation irreversibility by taking the advantage of the small temperature elevation available between the location of the intermediate product and the common stripping section and releasing the excessive heat at an elevated temperature to the latter. The second VRHP serves to reduce further the operation irreversibility by compressing the overhead vapor stream preheated by the condensed liquid from the first VRHP and releasing its latent heat at an elevated temperature to the stripping section of the prefractionator or the common stripping section. Two case studies on the separations of intermediate-component dominated and wide-boiling-point ternary mixtures of benzene, toluene, and o-xylene and n-pentane, n-hexane, and n-heptane demonstrate the economic optimality of the proposed VRHP-DWDC. For the DWDC with a top or bottom partition, the optimum topological configuration of the VRHP-DWDC can also be derived in the same manner. The capability of predetermining the optimum topological configuration of the VRHP-DWDC can lower considerably the complicated and time-consuming work of process modeling, structural and operating parameter searching, and process screening in process development and is of great significance to the applications of this process intensification technology.

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Design of Dividing‐Wall Columns by Mixed‐Integer Nonlinear Programming Optimization

Cited by 21 publications

References 49 publications

A feasible path-based branch and bound algorithm for strongly nonconvex MINLP problems

A feasible path-based branch and bound algorithm for strongly nonconvex MINLP problems

Regions of Optimality for Separation System Synthesis Using Rigorous Modeling, Stochastic Optimization, and Column Stacking

Optimum Topological Configuration for the Vapor-Recompressed Dividing-Wall Distillation Columns Processing an Intermediate-Component-Dominated and Wide-Boiling-Point Ternary Mixture

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