Mathematical model to assess energy consumption using water inflow-drainage system of iron-ore mines in terms of a stochastic process

Abstract

Purpose is to develop a unified mathematical model to assess energy efficiency of a water inflow-drainage process as the real variant of stochastic method for water pumping from underground workings of iron-ore mines. Methods. The research process was based upon the methods of probability theory as well as stochastic modelling methods. The stochastic function integration has been reduced to summation of its ordinates and further transition to a proper boundary. Findings. A mathematical model of a water inflow-drainage system as a stochastic process has been developed in terms of input parameters of a standard operating iron-ore mine. The abovementioned has made it possible to assess realistically, substantiate, and obtain possibilities for a specific production facility as well as for generalization of the results involving determination of stochastic characteristics of drainage process. Originality. For the first time, a mathematical model of drainage from underground levels of iron-ore mines has been developed as a stochastic process. The process characteristics have been identified relying upon randomness of a water pumping technique. In contrast to the available settings, the new model parameters characterize their dispersion. Possibility to obtain complete characteristics of energy consumption has been obtained: for drainage; for water accumulation volume in underground water collectors; for water pumping from the specified mine depths over the specific period as random processes. A number of drainage features have been analyzed and differentiated being determined with the help of nor-mal law of water accumulation velocity in the underground water collectors in iron-ore mines. Practical implications. In terms of operating iron-ore mine, a generalized drainage mathematical model has been developed as a stochastic process using statistical data concerning water accumulation velocity in the underground water collectors. It has been proved that if the ordinates of water accumulation velocity in the underground water collectors obey the normal distribution law then it is expedient to characterize drainage as a stochastic process. The developed methods, studying drain-age as a stochastic process, help expand the research boundaries involving other auxiliary operations performed during underground mining of iron ore raw materials.

Simulation of power consumption control of receivers at underground iron ore mining enterprises

“…The state of a country's energy sector is a systemic component that determines the level of its economic and political independence, and creates preconditions for joining progressive blocs of economically advanced countries. One of the most important features of such independence level is energy intensity of the gross domestic product [1].…”

“…It is also logical that with available iron ore mining technologies, this can be achieved by replacing outdated energy inefficient equipment with the new energy efficient one. However, according to the results of [1,2] and [4], such measures to improve their energy efficiency are not enough for the conditions of underground mining enterprises. Moreover, as iron ore mining depths naturally increase over time, within the framework of existing technology, the energy savings achieved by this method are offset by the need for potential increased power consumption.…”

Managing the Power Supply Energy Efficiency by Means of Higher Voltage and Interharmonics

“…With rare exceptions (electric arc, pulsed processes, etc.) relations between voltage and currents in transients are known from the theory of electric circuits [5][6][7].…”

“…-Implement load monitoring and management systems to ensure that energy consumption is optimized. Identify peak usage periods and take steps to reduce demand during those times, such as through load shifting or demand response programs [7].…”

Heuristic control of power consumption by up to 1000 V electrical loads at mining enterprises

“…To reduce the level of power consumption payments, enterprises artificially modify consumption modes of mainly energy-intensive consumers in a primitive form, by increasing power consumption during economic hours of the day and decreasing it during peak hours. This gives a certain material effect, but also adds a number of negative aspects [2,3]. In order to achieve the desired effect in the power and energy sector of operating iron ore mining enterprises, it is necessary to change available ap-…”