Structural modeling of expanded clay cooling technological process in a drum cooler as a control object

The technological process of expanded clay cooling in a drum cooler is considered as a control object with distributed parameters. Taking into account reasonable assumptions and simplifications, the dynamics of the process under consideration is described by a system of non-homogeneous differential equations in partial derivatives of the first order, the solution of which made it possible to obtain operators linking the control action and the main disturbances with the temperature of expanded clay in the drum cooler. The obtained operators of the mathematical model, which are transcendental transfer functions, are approximated by typical forms of transfer functions for the possibility of their further practical application in the synthesis of automation systems. A structural diagram of the mathematical model of the process of expanded clay cooling in a drum cooler as a control object is synthesized. Computational experiments are carried out to study the dynamic and static operating modes of the control object.