Abstract
Various types of impacts, which in terms of the process approach are aimed at creating value, at giving metal products a complex of higher consumer properties, change the value of thermodynamic parameters. These include temperature, pressure, enthalpy, entropy, Gibbs energy, etc. Processing processes are associated with energy costs, with movement, and therefore control problems can be represented as problems of dynamics, solved using differential equations. The paper proposes a mathematical model of the casting process with crystallization under pressure, where the pressure acts as a factor that can be varied widely at different stages of the process. The controlled process model is based on phase coordinates. The evolution of the state of the system under consideration is represented by differential equations. A block diagram of the control system has been developed.
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