### Mathematical Model of a Three-Phase Electric Line with Split Phases

V.I. Patsyuk, V.P. Berzan, G.A. Ribacova
2019 Zenodo
An increase in the voltage of electric lines leads not only to an increase in their natural power, but also to the problem of increasing the power losses due to the corona discharge. The use of phases with split wires is used as a technical solution to reduce such losses. The splitting of wires affects the parameters of the line that leads to a change in natural and transmitted power. Therefore, improving the accuracy of calculating the parameters of lines with split phases is an actual
more » ... s an actual problem. The purpose of this work was to develop a mathematical model of a three-phase line with split phases and to evaluate the accuracy of determining its capacitive parameters using the equivalent diameter of the split phase and the finite volume method for calculating the distribution of the electric field parameters based on Maxwell's equations. Using the finite volume method, the values of potential and capacitance coefficients were determined for each of the 15 wires of the 750 kV transmission line. These values were calculated by the mirror image method as well. These calculations for various configurations of the wires arrangement in the split phase gave very close results. It was substantiated the possibility of applying the finite volume method to calculate the parameters of circuits with complex geometry by the criterion of limiting the level of intensity of the field near the wires. The possibility of using approximate formulas for determining the parameters through the equivalent radius of the split phase was confirmed.