Determination of the required measurement error of enrichment indicators

Abstract

Purpose.Development of a methodology for determining the required accuracy of measurement of technological separation parameters in mineral processing. The methods. The method of generalization of scientific information; analytical, probabilistic and statistical methods of research; mathematical modeling of a fragment of the enrichment scheme were used in the work. Findings. The technological line of enrichment converts the spectrum of the initial signal into the spectrum of the output signal, in accordance with its frequency response. Therefore, it is proposed: to determine the spectral function of the change in the quality indicator at the beginning of the beneficiation technology; to represent the separation characteristic of the line of beneficiation machines in accordance with the laws of their connection; to record the separation characteristic through transfer functions, which will allow obtaining the value of the frequency response and determining the process variance. If along the technological line of beneficiation the change in accuracy occurs according to a linear law, then an equation is proposed that will allow determining the required accuracy of measuring technological indicators of beneficiation. The originality. The novelty of the study lies in the development of a generalized approach to determining the spectral characteristics of beneficiation processes, taking into account the influence of the transfer functions of individual devices of the technological line. The use of the spectral decomposition of frequency characteristics allows us to more accurately determine the main component of the signal. The dependence of the average quality indicator on the error of its determination is established, which directly affects the accuracy of the beneficiation process. Practical implementation. The application of the results obtained can be useful for the development of new methods for optimizing beneficiation processes based on the analysis of spectral characteristics and their relationship with the parameters of technological equipment.