Abstract
The article provides an analytical relationship (mathematical model) between the steam pressure at the exit of the steam boiler and the fuel supplied to the boiler. The mathematical model was determined on the basis of the characteristics obtained experimentally through the channel "fuel - steam pressure in the boiler". The experimental data were processed by the method of M.P. Simo and E.P. Stephanie. The dynamics of the change in steam pressure in a steam boiler is simulated in the Matlab (Simulink) simulation environment. The resulting model will be used to develop an automatic control system for the vaporization process. In particular, when establishing the region of stable operation of the regulator, when choosing the optimal values of the tuning parameters of the regulator that satisfy the given quality indicators of technological processes.