Mathematical modeling and control the process of fuel combustion in gas combustion furnaces

Tashkent State Technical University, Tashkent city, Uzbekistan

^* Corresponding author: sevinovjasur@gmail.com

Abstract

In this manuscript, the results of mathematical modeling and control of the fuel combustion process in gas-burning furnaces are presented. The physical principles of constructing a primary measuring transducer for the selective measurement of the concentration of harmful substances (CO) and (C_nH_m) in exhaust gas mixtures are substantiated based on the spectrophotometric method of measurement in the absorption bands of the IR range, which ensures selectivity in determining the target parameters. An original combined optical scheme of a three-component (hydrocarbons, carbon monoxide, and dioxide) gas analyzer based on the infrared measurement method has been developed. A meaningful statement is made and a solution is given to the problems of automatic control of the efficiency of the fuel combustion process as an extremal problem of maximum speed. The efficiency of the system functioning is characterized by the amount of losses caused by the search for the optimum of the statistical characteristics of the dynamic object under study. A comparative analysis of methods for solving problems of extreme control by "increment" and by "second difference" indicates that the performance and quality of regulation is not inferior to the well-known traditional systems for controlling the efficiency of fuel combustion in gas-burning furnaces.