Development of Improved Methods for Calculating Steady States of Power Systems Taking Into Account the Temperature Dependence of the Resistances of the Overhead Transmission Lines

The problem of calculating the steady state of an electric power system taking into account the temperature dependence of the resistances in the overhead transmission lines is considered. Two alternative algorithms are proposed. One solves an augmented system of equations by Newton’s method, while the other calculates the resistances separately within the iteration process of solving the equations of the electric state of the power system. The results of a numerical experiment are presented. They validate the algorithms and show a significant increase in the accuracy of determining state variables such as current, voltage, and power loss. The convergence of the algorithms is analyzed compared to each other and to Newton’s method used disregarding the temperature dependence of the resistances.