Nonstationary Multistage Process Control in the Petrochemical Industry

摘要

A mathematical model of the technological process of removing organic acids from oil fractions is developed based on a comprehensive analysis of the features of a class of nonstationary multistage processes in the petrochemical industry is developed. The behavior of those fractions and acids at each stage is described by a system of nonlinear differential equations. In addition, the mathematical formulation and solution of the optimal control problem for this process are considered. In order to solve the multistage problem using the Pontryagin maximum principle, a necessary optimality condition is obtained, and an algorithm for its numerical application is developed. The construction of the optimal control system created on the basis of the developed models and optimization algorithm, which determine optimal control strategies of alkali consumption and minimization of energy costs of producing petroleum fractions not containing naphthenic acids, is considered.