Mathematical Model Of The Power Supply System Of Large Industrial Regions For Operational Control Of Its Mode Characteristics

Abstract

An urgent task of power supply of large industrial regions with high power consumption, complex power supply schemes, and instability of their operating modes is the need to accurately predict the amount of power losses. Reducing the magnitude of these losses can be ensured by proper parameterization of networks and operational control of their mode of operation. The complexity of solving this problem is due to the structural complexity of power supply systems and the instability of electricity consumption over time. The amount of electricity losses in the network depends on the technical characteristics of the network, its current state and on the modes of transmission of electricity in its branches. The authors have developed a mathematical model that makes it possible to predict the magnitude of such losses based on a comprehensive account of the design features of the network and the regime characteristics of its operation over time. In this model, to calculate power losses, a special model is proposed for replacing the electrical network with an integral function that takes into account the uneven distribution of loads, the variability of the load in the network branches, and the dispersion of the consumed electrical power over time. The loss of energy in the network depends on the power consumed, and this power itself changes over time, and therefore the losses of electricity are not constant over time. This factor is taken into account by the indicator of the dispersion of power consumption over time, which can be calculated according to the practice of illogical networks. Thus, the mathematical model developed by the authors makes it possible to determine the predicted losses of electricity during the operation of large electrical networks, to determine their rational parameters and the optimal modes of operation of the networks necessary for the operational management of these modes.