Modeling of automated control of mining production facilities based on the wave approach

Abstract

During the classification of crushed ore by size on a fine wet ore screen, various vibrations are formed in its structure, which propagate in the form of traveling waves. To describe and model the dynamic response of an object in which traveling waves propagate, it is represented as a multi-agent system. This approach is based on a wave transfer function that determines the interactions between agents and the parameters of traveling waves and describes the behavior of the system from the local point of view of its individual elements. Analysis of the obtained simulation results showed that the approach used is well suited for reflecting the general topology of wave processes in the studied structure and its overall behavior. At the same time, the applied model includes the main nodal points of the screen structure but does not reflect the wave process occurring directly on the screen surface. Solving this problem requires the use of a large number of agents with appropriate consideration of their interaction, which is quite difficult with this approach. An alternative approach based on the use of physical modeling blocks based on the Simscape® software package for Simulink®/MATLAB® is considered. The screen cloth is presented as a structure with distributed parameters, implemented for the compliance of the structure to vertical vibrations and bending. The proposed structure consists of elementary Mass-Spring-Damper blocks connected to each other by parallel spring shock absorbers. This structure provides the inertia of the canvas, while the spring damper systems ensure its compliance. The model simulates the dynamic response of the system, oscillating in response to the applied force and bending in response to the static mass imbalance. The advantage of this approach is the possibility of using any number of elementary Mass-Spring-Damper blocks with the ability to form with the necessary accuracy the distribution of both the elastic qualities of the canvas and the mass of the ore material on it. Analysis of the simulation results shows that the proposed approach allows determining, forming, and investigating various modes of ore material movement during screening to achieve optimal technological and energy performance of the process.