Abstract
The article investigates the mathematical model of the power supply system elements – transmission lines. It is shown that transmission lines have a variety of mathematical models. They are the basis for the study of the operating modes of power grids. They reflect all the peculiarities of physical processes under steady state and transient modes and must ensure sufficient accuracy of the results obtained. The type of mathematical model of transmission lines depends on the accepted simplifications, which allow to consider a separate research problem. The purpose of the article is to develop a mathematical model of the power transmission line for the study of the power supply system modes, with the possibility of its application to take into account all structural features of overhead and cable transmission lines, and with the possibility of use in asymmetric modes.
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