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.
Highlights
The formalized problem of the optimal design of distillation column systems belongs to the class of mixed integer nonlinear program problems
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
A computer model of the distillation column system was developed in the environment of the Aspen Hysys software package
Summary
Формализованная задача оптимального проектирования систем ректификационных колонн относится к классу задач дискретно-непрерывного нелинейного программирования. Цель работы – разработать алгоритм и программный комплекс оптимального технологического проектирования системы простых тарельчатых ректификационных колонн по критерию суммарных приведенных капитальных и энергетических затрат на основе строгих математических моделей ректификации. В качестве модели ректификации использован модуль Inside-Out. Разработанный алгоритм реализован в программной среде математического пакета Matlab. Разработан алгоритм оптимального проектирования ректификационной колонны заданной топологии на основе метода ветвей и границ. В математическом пакете Matlab создан программный комплекс, реализующий предложенный алгоритм и интегрированный с универсальной моделирующей программной AspenHysys. Алгоритм и программный комплекс оптимального технологического проектирования. Разработан алгоритм и реализован программный комплекс, позволяющий автоматизировать процесс проектирования систем ректификационных колонн и интеграцию с передовыми пакетами математического программирования. Алгоритм и программный комплекс оптимального технологического проектирования простых ректификационных колонн.
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