Determination of Power Flows and Temperature of Electrical Network Wires of a Power System Steady State

Abstract

The problem of calculating the power flows and wire temperature of the supply network in the steady state mode of a power system is examined. The topology and parameters of the network, and consumption and generation, are presupposed, as well as weather factors affecting the power lines: ambient temperature, solar radiation, and wind direction and speed. Analysis was done of the previously proposed algorithms for solving this problem, which are based on taking into account the temperature dependence of active line resistances. The shortcomings of these algorithms are shown, and a new method of calculating the node voltages that characterize the active resistances and the temperature of the line wires, and power flows in the steady state of the power system. The proposed approach is based on taking into account the influence of node voltages on the active resistances of the wires and the currents of network lines. Computational experiments demonstrate the correctness of the proposed calculation expressions. The results of comparison with the calculated data obtained by the previously considered algorithms are presented. The proposed method can be used to assess the impact of weather factors on the steady state parameters, which are necessary for system operators in the analysis of actual and future schemes of development of electric networks, including taking into account renewable sources of energy (RSE) and distributed generation.