Combined Mathematical Model of Three-Shell Gas Reactor in Ammonia Production

Abstract

A method for developing a mathematical model for further optimization and control of a complex technological object is proposed. The analysis of the technological process of ammonia synthesis as a control object was carried out and an information-logic scheme of a three-shelf gas reactor with an integrated heat exchanger was developed. A mathematical model of an ammonia synthesis gas reactor shelf has been developed. A mathematical model of a gas reactor for ammonia synthesis has been developed. To determine the unknown parameters of the mathematical model, a system of test effects on a three-shelf gas reactor was proposed by changing the flow rates of synthesis gas from cold bypasses by a known fixed value. The development of a mathematical model involves two stages. At the first stage, a model is developed based on the material and heat balances of each shelf of the three shelving gas reactors. Despite its low accuracy, it makes it possible to evaluate the type of criterion function in a wide range of variation of arguments, taking into account its multi-extremes, and to highlight the area of global extremum. At the second stage, the model is adapted based on experimental data obtained from the control object, based on probabilistic methods. This allows to ensure the accuracy of the parameters modeled by taking into account all disturbing influences. The resulting mathematical model has the fourth order; it is quite simple to obtain the functional dependence of the concentration of the target component at the output of the three-shelf gas reactor on the input control and perturbing parameters. The proposed equation can be used to solve the optimization problem. The mathematical model developed can be used to build a control system for a three-shelf gas reactor in ammonia production with a model.