Simultaneous Optimization of Complex Distillation Systems with a New Pseudo-transient Continuation Model

Ma, Yingjie; Luo, Yiqing; Yuan, Xin

doi:10.1021/acs.iecr.7b00380

Cited by 35 publications

(55 citation statements)

References 25 publications

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“…It is also observed that the purity of the recycle entrainer in the optimal design of the conventional ED is 0.9986 which is different from that of 0.9999 determined using heuristics in the work of Luyben [28]. This result is consistent with the result from Ma et al [17] for separation of the benzene/cyclohexane/ toluene mixture, where the recycle entrainer purity was only 0.85.…”

Section: Case Study 1: Acetone/chloroform Separationsupporting

confidence: 80%

“…These fractional bypass efficiencies can be rounded to be 0 or 1 and a new optimal solution can be generated. It is demonstrated that the optimal solution does not change noticeably after the fractional bypass efficiencies round off in case studies of this work and the existing efforts [17,18].…”

Section: Modelling Of Edwcmentioning

confidence: 74%

“…This is of great importance for process optimisation using complex rigorous unit operation models. The PTC distillation model from Ma et al [17] is used for simulation of the EDWC, which is provided in Appendix C (cf. ESM).…”

Section: Ptc Modelling Approachmentioning

confidence: 99%

“…It is demonstrated that the gradient-based optimisation algorithm implemented in an equationoriented (EO) environment is much more efficient for process optimisation compared to those in the sequential modular environment due to accurate derivative information used [16]. Although the gradient-based optimisation algorithms have been used for optimal design of thermally coupled ternary ED in the EO environment [17,18], they fail to find a feasible design of the EDWC for separation of azeotropic mixtures acetone/chloroform and ethanol/water. Waltermann et al [19] generated an optimal design of the EDWC process using rigorous models in the EO optimisation environment General Algebraic Modeling System (GAMS).…”

Section: Introductionmentioning

confidence: 99%

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Optimal design of extractive dividing-wall column using an efficient equation-oriented approach

Zhang

et al. 2020

Front. Chem. Sci. Eng.

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The extractive dividing-wall column (EDWC) is one of the most efficient technologies for separation of azeotropic or close boiling-point mixtures, but its design is fairly challenging. In this paper we extend the hybrid feasible path optimisation algorithm (Ma Y, McLaughlan M, Zhang N, Li J. Computers & Chemical Engineering, 2020, 143: 107058) for such optimal design. The tolerances-relaxation integration method is refined to allow for long enough integration time that can ensure the solution of the pseudo-transient continuation simulation close to the steady state before the required tolerance is used. To ensure the gradient and Jacobian information available for optimisation, we allow a relaxed tolerance for the simulation in the sensitivity analysis mode when the simulation diverges under small tolerance. In addition, valid lower bounds on purity of the recycled entrainer and the vapour flow rate in column sections are imposed to improve computational efficiency. The computational results demonstrate that the extended hybrid algorithm can achieve better design of the EDWC compared to those in literature. The energy consumption can be reduced by more than 20% compared with existing literature report. In addition, the optimal design of the heat pump assisted EDWC is achieved using the improved hybrid algorithm for the first time.

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Section: Case Study 1: Acetone/chloroform Separationsupporting

confidence: 80%

Section: Modelling Of Edwcmentioning

confidence: 74%

Section: Ptc Modelling Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Optimal design of extractive dividing-wall column using an efficient equation-oriented approach

Zhang

et al. 2020

Front. Chem. Sci. Eng.

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“…Moreover, if gotten, the integer solutions on stage numbers correspond to poor local optima in some cases. 15,18 Consequently, the bypass efficiency model may lead in some cases to either poor local optimal solutions 18 or fractional bypass efficiencies. And thus, multitrials starting from different starting points are needed in pursuing a global optimum with integer stage numbers.…”

Section: Introductionmentioning

confidence: 99%

Smooth penalty function method for rigorous optimization of distillation processes

et al. 2021

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Integer decisions on stage numbers and feed locations, and global optimality are still challenging for rigorous optimization of distillation processes. In the present article, we propose a smooth penalty function method to address both these problems. The proposed method is based on the relaxation of the integer decision problem into continuous nonlinear programming (NLP) problem by adopting the bypass efficiency model developed by Dowling and Biegler. A smooth penalty term (SPT) is proposed and added to the total annual cost (TAC) function to form a new objective function, namely, the smooth penalty function. Using the new objective function, the problem is initially solved with negative weight coefficients for the SPTs regarding each column section to get an optimum near the global optimum of the SPT. Then, starting from this solution, the problem is solved again iteratively by increasing the values of the weight coefficients until all the stage numbers become integers. The performance of the method is validated by an illustrating problem and in three case studies, including a reactive distillation optimization problem.

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Simulation and optimization of VPSA system based on pseudo transient continuation method

Niu

Tang

et al. 2022

AIChE Journal

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In order to address the challenge of optimization of pressure swing adsorption systems, an optimization framework based on pseudo transient continuation method was used and a corresponding library with several models was established for simulation of more complex processes. Then, two vacuum pressure swing adsorption processes for oxygen and nitrogen production were considered as case studies and the results based on the single discretization and pseudo transient method were compared and analyzed in detail. Besides, a new strategy was proposed for the stability and efficiency of simulation. Finally, reduced successive quadratic programming and time relaxation algorithm were used for the optimization of the two systems, respectively, and the results showed that the time relaxation algorithm based on the pseudo transient framework has a strong advantage in saving optimization time cost compared with the former.

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Simultaneous Optimization of Complex Distillation Systems with a New Pseudo-transient Continuation Model

Cited by 35 publications

References 25 publications

Optimal design of extractive dividing-wall column using an efficient equation-oriented approach

Optimal design of extractive dividing-wall column using an efficient equation-oriented approach

Smooth penalty function method for rigorous optimization of distillation processes

Simulation and optimization of VPSA system based on pseudo transient continuation method

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