Application of a partial correlation coefficient to select a control channel for mining and processing processes

When creating a control system for technological processes and, in particular, enrichment processes, it is mandatory to analyze the data characterizing the technological process. Such an analysis is necessary to select the output value that characterizes the process, the control values that are most strongly associated with the output value. Often, input quantities are analyzed separately in order to identify strongly interconnected quantities. This is done due to the fact that there is usually no need to use interconnected input quantities to control, just one. Most often, in practice, the pair correlation coefficient is used to assess the relationship. The use of the pair correlation coefficient imposes restrictions on the analyzed values. These values should be distributed normally and it is assumed that when evaluating the pair correlation, the influence of other values on the analyzed values is excluded. In practice, they usually do not check the normal distribution law of the analyzed quantities and do not always check the significance of the correlation coefficient. In this paper, it is proposed to use a particular correlation coefficient in the analysis of the control object, which takes into account the correction of the paired correlation coefficient, provided that the influence of other values on the analyzed ones is excluded. Thus, it is proposed, during the preliminary analysis of the technological process, in order to create an automatic control system, to analyze the relationship of input quantities with all output quantities in pairs, while excluding the influence on the analyzed quantities, each of all the others.

Leonov R. E. , Patrakov S. S. Application of a partial correlation coefficient to select a control channel for mining and processing processes. MIAB. Mining Inf. Anal. Bull. 2024;(11):48—58. [In Russ]. DOI: 10.25018/0236_1493_2024_011_0_48.

Leonov R. E.¹, Cand. Sci. (Eng.), Associate Professor, Professor of the Department of Automation and Computer — Integrated Technologies, Ural State Mining University, lprep2011@mail.ru, Yekaterinburg, Russia. ORCID ID: 0000-0002-2531-8336 (сorresponding author);
Patrakov S. S.¹, postgraduate student in the field of training 09.06.01 Informatics and computer technology, focus 2.3.3. Automation and management of processes and production, patrakov. sema@mail.ru, Yekaterinburg, Russia. ID ORCID: 0009-0007-9173-6935;
¹ Federal State Budgetary Institution of Higher Education “Ural State Mining University”, 30 Kuibyshev str., Yekaterinburg, Russia, 620144

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