Mathematical fundamentals of the method of identification of metal inclusions in raw materials with automatic determination of their coordinates

Abstract

The article deals with the actual problem of theoretical substantiation of the method of identification (diagnosis) of metal inclusions (hereinafter referred to as metal inclusions) in bulk raw materials under the conditions of a conveyor belt. The presence of metal inclusions in the raw material transported by the conveyor belt can lead to both emergencies and deterioration in the quality of the output product. The identification method provides for diagnosing the presence of metal inclusions, determining its dimensions, type of metal and coordinates relative to the cross-section of the conveyor belt. The results of theoretical and experimental studies of the method for identifying metal inclusions based on a scanning signal and an additional excitation coil are considered. A mathematical model has been developed for determining the position of metal inclusions on a conveyor belt relative to a line perpendicular to the axis between two excitation coils, including two trajectories for determining coordinates for three excitation coils and two receiving coils.