METHODOLOGY FOR CONSTRUCTING COMPLEX INDICATORS TO DESCRIBE INTERACTION PROCESSES IN THE "METAL-SLAG" SYSTEM DURING STEEL REFINING IN A LADLE FURNACE USING HARRINGTON'S DESIRABILITY FUNCTION

A methodology has been developed for constructing complex indicators to describe the physicochemical interaction of components in the "metal-slag" system during steel refining jn a ladle furnace, based on the concept of directed chemical bonding and the analytical apparatus of Harrington’s desirability function. The methodology involves the justification and generation of the structure of complex indicators for the "metal-slag" (Fms) and "metal-additive" (Fmd) systems, considering their chemical composition, physicochemical properties, and technological process parameters (Ft). Analytical dependencies have been developed to calculate the distribution coefficients of sulfur, silicon, manganese, and aluminum in the form: , where the coefficients A, α₁, α₂, and α₃ are determined for a specific steel grade. The proposed approach serves as the basis for predicting the chemical composition of final steel melts treated in a ladle furnace. It enables the selection of optimal slag mixtures, alloying, and microalloying additives that enhance efficiency and improve the steel refining technology in the ladle furnace unit.