The electrical mode (ER) of arc steel-melting furnaces (ASF) is characterized by a dynamic, random, non-stationary, phase-by-phase asymmetric and phase-by-phase interconnected nature of the change. Control takes place in the conditions of incomplete information about the state of the ER and the technological process and changes in the parameters of the elements of the power circuit and the three- phase system of arcs.
It is the first paper where the electrical mode of an arc furnace (AF) is proposed to be considered as a state change. This work also proposes a methodology for calculating the time values of the probabilities of these states. The methodology is based on the representation of state-change processes by the Markov model of continuous time, discrete state (CDS) stochastic processes.
In the paper, based on the Fokker--Planck--Kolmogorov equation and the statistical control theory, a mathematical model for the operative synthesis of optimal controlling influences for stabilization of the electric mode of an electric arc furnace in a two-contour structure with a high-speed electric circuit for regulating the arc currents is suggested.