Structural model of binary mixture fractional distillation in a tray column

Abstract

The purpose of the article is to obtain the data necessary for the synthesis of optimal control systems. The successful solution of the problem of creating control systems for tray distillation columns used in various chemical and metallurgical processes requires the construction of mathematical models that allow to carry out the study of objects on modeling facilities. Analytical solutions of control systems that describe the processes in columns involve significant computational difficulties. It seems useful to build structural diagrams as an initial mathematical description of the simulated fractionating distillation columns. The known static and dynamic properties of the tray distillation column are used to separate binary mixtures in the way that enables the construction on their basis mathematical models convenient for the synthesis of automatic control devices. The proposed block diagram is a typeset model of a facility, which serves the basis for obtaining a general solution for specific sizes of its elements (taking into account the nonlinear dependencies in the system under examination). A mathematical description of the fractionation process is given on the basis of the material balance of the more volatile component and consideration of the kinetics of mass transfer on the trays.