Modeling of the Control System of the Temperature Field in the Carbon-Graphite Thermal Node During the Growth of Leucosapphires

The paper is devoted to exploration of thermal processes during the growth of leucosapphire by the horizontal directional crystallization method. A mathematical and computer model of the technological process has been developed to predict the dynamics of temperature field in the carbon-graphite thermal node. To solve the problem of providing the required temperature field, the synthesis of a distributed high-precision regulator has been performed, the settings of which allow to provide a given temperature distribution at the crystallization front by controlling the heat flow at the sections of the lower heater. The analysis of transient graphs obtained by modeling of the closed-loop automatic control system confirmed the compliance of the developed system with the requirements of the technological process in terms of temperature field distribution in the leucosapphire.