Determination of the power cables system reduction coefficient matrix
Abstract
The paper presents the original theoretical foundations of the mathematical model for determining the reduction coefficient matrix of a cable line system. This is a new and completely general mathematical model that can take into account any number and arrangement of single-core cable systems arranged in a triangular bundle. The reduction coefficient matrix in question takes into account, namely, the real (full) electromagnetic influence that prevails between the respective cable lines, under the conditions of a single-pole short circuit. It is important for the reduction coefficient matrix that its elements depend exclusively on the electromagnetic and geometric characteristics of the cable lines themselves, on their location and on the geophysical properties of their route, as well as on the frequency of the currents flowing in the cable lines. The application of the model developed here enables a much more accurate calculation of the distribution of currents in the cable line system than is possible by applying individual reduction factors of the existing cable lines. At the same time, the developed model is simple to apply and completely general. The application of the presented theory and the developed mathematical model is also shown on the example of a general system of cable lines with a nominal voltage of 110 kV.
