Modeling assessment of power consumption efficiency at iron ore mining enterprises

Abstract

Today's world requires controlling the process of power consumption and supply. The control system should respond proactively and preventively to external disturbances. Among such disturbances for iron ore mining enterprises, the most significant are changes in the technology of operating modes of stationary power receivers, taking into account power costs. General methodological approaches to forming models that relate power consumption indices for a given volume of ore mass mined are investigated. Methods of formalizing components of the power system of iron ore mining enterprises engaged in underground mining of iron ore raw materials are under study. Methods for building a mathematical model of optimal power consumption efficiency are studied. The synthesized model makes it possible to determine the mode of operation required to mine a given amount of ore mass, while minimizing the cost of power consumption. A target function is built considering the cost of power consumed by an iron ore underground mining enterprise. Minimization of the power consumption cost is formed as a task of reducing the functional in terms of the active power consumed at a certain period of time. The proposed solution is limited to the condition that the cost of active power is time dependent, i.e. it is a piecewise-constant function. As a result, the power cost is given by a piecewise-constant function with two values. A qualitative graphical representation of the considered time dependence of the active power cost is presented. Based on visual and graphical analysis, an analytical function of the active power cost according to time of day is formed.