MATHEMATICAL SIMULATION AND STUDY OF CONTROL STABILITY OF THE CHEMICAL-ENGINEERING PROCESSES IN INDUSTRY

Abstract

This work is considered to study analysis of dynamic system for simulation of the technological process under uncertainty and complexity. To study and simulate a complicated technology process the technical scheme of roasting in fluidized bed furnaces of polymetallic sulphides ores is carried out for consideration. The choice is justified by the fact that operation line producing polymetallic sulphide ores represents a complicated process, is characterized by a large number of transient processes, presence of process variables, and deviations from technical regimes. To study process characteristics of any system functioning employing mathematical methods the process should be formalized. This means, that an adequate mathematical model needs to be developed. The choice of mathematical model depends a lot on objects ‘feature and its controllability as well as of technological scheme and complexity of processes. Chemical engineering processes are complicated physical and chemical systems. Substance flows, which are part of these systems, are, as a rule, multicomponent. Therefore, for the purpose of study and qualitative control over chemical-engineering processes it is essential to apply the method of mathematic simulation, based on system analysis strategy, analysis of its structure, mathematical formulation development and evaluation of unknown parameters. Controllability means that such system attribute as having control actions, which make it possible to transfer the system from a pre-set initial state to the required condition during a finite quantum of time. Therefore, the developed mathematical model of the process or control object should be controllable and stable.

Keywords

• control system, mathematical model, stability, controllability, automation