CALCULATION OF THE EQUIVALENT ELECTRICAL PARAMETERS OF THE INDUCTOR OF INDUCTION CHANNEL FURNACE WITH DEFECTS IN ITS LINING

Abstract

Aim. The aim of the paper is to determine a quantitative relationship between measured impedance of the inductor and the electrical characteristics of the separated melt circuit parts for the determination of the place of a liquid metal leakage and for the improvement in such way the diagnostic system of lining state of induction channel furnaces. Technique. The study was performed on the basis of the concepts of theoretical electrical engineering, mathematical physics, and mathematical modeling. Results. Using two equivalent electrical circuits of the inductor the analytical expressions and graphical dependencies, which determine a quantitative relationship between the parameters of the separated parts of a liquid-metal circuit and the impedance of the whole inductor measured in practice, for the presence of different lining defects, were found. The method for calculating the increments of equivalent electrical parameters of the inductor as a function of increments of the parameters of the secondary liquid-metal circuit was proposed. Scientific novelty. It is proved that for small changes (less than 10 %) of the parameters of the liquid-metal circuit, it is expedient to use a linear relationship between its increments and to create the sensitivity matrix, which clearly shows the presence of a strong or weak interrelation between the disturbed values of the parameters of the secondary circuit and the inductor. Practical significance. The use of this technique allows to develop the database for various types of lining defects for a given furnace and on its basis to predict the places of a melt leakage and the state of furnace lining owing to periodical measurements of the inductor parameters.

Keywords

• equivalent electric parameters
• mathematical modeling
• induction channel furnace
• defects of lining
• diagnostics of the lining state