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Algorithm and software for the optimal technological design of a system of simple distillation columns

https://doi.org/10.32362/2410-6593-2021-16-5-379-389

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Abstract

Objectives. The formalized problem of the optimal design of distillation column systems belongs to the class of mixed integer nonlinear program problems. Discrete search variables are the number of trays in the rectifying and stripping sections of columns, whereas the continuous ones are the operating modes of columns. This study aimed to develop an algorithm and a software package for the optimal technological design of a system of simple distillation columns based on the criterion of total reduced capital and energy costs using rigorous mathematical distillation models.
Methods. The solution to this problem is based on the branch and bound method. A computer model of the distillation column system was developed in the environment of the Aspen Hysys software package. The Inside–Out module was used as the distillation model. The developed algorithm is implemented in the software environment of the Matlab mathematical package. To solve the conditional optimization problem, a sequential quadratic programming method-based model was used. The interaction between software add-ins in Matlab and Aspen Hysys is implemented using a Component Object Model interface.
Results. Approaches to obtain the lower and upper bounds of the optimality criterion and the branching method for the implementation of the branch and bound method have been developed. In addition, an algorithm for the optimal design of a distillation column of a given topology based on the branch and bound method has been developed. Furthermore, using Matlab, a software package that implements the developed algorithm and is integrated with the universal modeling software AspenHysys has been created.
Conclusions. An algorithm and a software package have been developed and implemented that allows automating the design process of distillation column systems and integration with advanced mathematical programming packages, respectively. The performance of the algorithm and software package has been evaluated using the optimal design of the debutanization column as an example.

About the Authors

N. N. Ziyatdinov
Kazan National Research Technological University
Russian Federation

 Dr. Sci. (Eng.), Professor, Head of the Department of Process System Engineering

68, Karl Marx ul., Kazan, 420015, Republic of Tatarstan, Russia



I. I. Emelyanov
Kazan National Research Technological University
Russian Federation

 Cand. Sci. (Eng.), Associate Professor, Department of Process System Engineering

68, Karl Marx ul., Kazan, 420015, Republic of Tatarstan, Russia



A. A. Ryzhova
Kazan National Research Technological University
Russian Federation

 Postgraduate Student, Department of Process System Engineering

68, Karl Marx ul., Kazan, 420015, Republic of Tatarstan, Russia



P. S. Chernakov
Kazan National Research Technological University
Russian Federation

 Student, Department of Process System Engineering

68, Karl Marx ul., Kazan, 420015, Republic of Tatarstan, Russia



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Supplementary files

1. The structure of the software package.
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Type Исследовательские инструменты
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2. This is to certify that the paper titled Algorithm and software for the optimal technological design of a system of simple distillation columns commissioned to us by Nadir N. Ziyatdinov, Ilia I. Emelyanov, Alina A. Ryzhova, Petr S. Chernakov has been edited for English language and spelling by Enago, an editing brand of Crimson Interactive Inc.
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  • The problem of optimal design of a system of distillation columns is formalized as a discrete–continuous mathematical programming problem.
  • To solve it using the branch and bound method, procedures for obtaining the upper and lower bounds of the economic optimality criterion and the branching procedure were described.
  • The algorithm for solving the design problem and the software package developed in Matlab, along with effective Aspen Hysys distillation models, were described.

For citation:


Ziyatdinov N.N., Emelyanov I.I., Ryzhova A.A., Chernakov P.S. Algorithm and software for the optimal technological design of a system of simple distillation columns. Fine Chemical Technologies. 2021;16(5):379-389. https://doi.org/10.32362/2410-6593-2021-16-5-379-389

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ISSN 2410-6593 (Print)
ISSN 2686-7575 (Online)