SYNTHESIS OF LINEARIZED MATHEMATICAL MODELS OF THE HEATER WITH INTERMEDIATE HEAT CARRIER

Abstract

In this work, the concept of indirect type heaters with an intermediate coolant is considered. A comparison of heaters of direct and indirect types was made, the advantages and disadvantages of both were considered. An overview of the sources, works and studies of the characteristics of path heaters, algorithms for the operation of automation that controls the indirect type heater, calculations of the power of heat sources for indirect type heaters, as well as measures to increase the efficiency of the heater were also performed.

The synthesis of the linearized mathematical model of the indirect type heater was carried out, the dynamic properties of the transmission channels as control actions and disturbances were studied. The energy balance equations for the main flows and heat transfer walls were synthesized, their linearization was carried out, and a system of differential equations in deviations was obtained. After that, the equation was transformed using the Laplace method and the matrix-vector method, which made it possible to derive the transfer functions that form a linearized mathematical model of the oil heating process in the flow heater and allow creating an effective system of automatic control of the oil heating process.