Математическое моделирование объектов с распределенными параметрами для управления процессами кристаллизации

Abstract

This article addresses the process of scintillation crystal growth. A crystallizer, known as an object of control, is considered to be a distributed parameters system. We used a rod (as a physical model) with one-dimensional distribution of physical properties and thermal fields. We obtained a system of equations in the state space. An algorithm of temperature control, when moving a crystallizer inside the unit, was developed. The ways to stabilize the temperature at a given point in space as the object moves were shown. The obtained methodologies were used as tests in order to study objects (based on more complex physical models).