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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.

Keywords: private correlation coefficient, technological process, data processing, calculation of private correlation coefficient in Matlab, mathematical statistics, automatic control system, control channel, static characteristic.
For citation:

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.

Acknowledgements:
Issue number: 1
Year: 2024
Page number: 48-58
ISBN: 0236-1493
UDK: 622
DOI: 10.25018/0236_1493_2024_011_0_48
Article receipt date: 15.05.2023
Date of review receipt: 11.09.2023
Date of the editorial board′s decision on the article′s publishing: 10.12.2023
About authors:

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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