Development of a Mathematical Model of Operation Reliability of Mine Hoisting Plants

Pavel V. Shishkin (), Boris V. Malozyomov, Nikita V. Martyushev (), Svetlana N. Sorokova, Egor A. Efremenkov, Denis V. Valuev and Mengxu Qi
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Pavel V. Shishkin: Department of Transport and Technological Processes and Machines, Empress Catherine II Saint-Petersburg Mining University, 199106 Saint-Petersburg, Russia
Boris V. Malozyomov: Department of Electrotechnical Complexes, Novosibirsk State Technical University, 630073 Novosibirsk, Russia
Nikita V. Martyushev: Department of Advanced Technologies, Tomsk Polytechnic University, 634050 Tomsk, Russia
Svetlana N. Sorokova: Department of Mechanical Engineering, Tomsk Polytechnic University, 634050 Tomsk, Russia
Egor A. Efremenkov: Department of Mechanical Engineering, Tomsk Polytechnic University, 634050 Tomsk, Russia
Denis V. Valuev: Yurga Technological Institute (Branch), Tomsk Polytechnic University, 652055 Yurga, Russia
Mengxu Qi: Department of Advanced Technologies, Tomsk Polytechnic University, 634050 Tomsk, Russia

Mathematics, 2024, vol. 12, issue 12, 1-26

Abstract: The work analyzes the performance assurance of mine hoisting machines, including the problem of the quality of performance of the functions. The quality of functioning allows evaluation of a set of properties of the process of lifting loads, designed to meet the given requirements in accordance with the purpose and evaluated performance indicators. In this case, the quality of the function depends not only on the elements that worked properly or failed during system functioning but also on the moments involving certain changes in the states of the system. The considered system of power supply of mine hoisting installations is rather complex with respect to reliability. The proposed approach allows this rather complex system to lead in terms of the form of a serial connection of elements, allowing for determining the influence of the functioning of its subsystems and electrical equipment on the technological process of cargo lifting in a coal mine. The presented mathematical concept of increasing the reliability and failure-free operation of mine hoisting plants with the help of the developed mathematical model of the mine hoisting plant allowed studying the reliability indicators of the hoisting plant operation and reserving the equipment most effectively to increase reliability. The determination of coupling coefficients in this study made it possible to analyze the impact of the reliability of electrical equipment and power supply systems on the operation of technological machines to improve the reliability of mining equipment and the efficiency of technical systems of mining equipment.

Keywords: mathematical modelling; forecasting; technical reliability; verifiability; mining equipment; operating efficiency (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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