stochastic control

Theoretical basis of energy efficiency criterion-based optimal control of arc steel-melting furnace modes taking into account 3-dimensional phase current distribution

The purpose of the article is to develop a method for synthesis of the operative adaptive optimal control of the electric mode (EM) of an arc steel-melting furnace (ASF) by energy efficiency criteria based on three-dimensional (3-D) distribution of arc currents. The basis of the created method is the use of operative information on the parameters of 3-D distribution of arc currents and the search for the appropriate optimal control – set points for arc currents of a double-loop system of controlling the electric mode of an arc steel-melting furnace.

Optimal control of the electrical mode of an arc furnace on the basis of the three-dimensional vector of phase currents

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.