선로 길이에 따른 전압, 전류, 유효전력, 무효전력 분석을 위한 유한요소법의 개발

The Finite Element Method (FEM) is a numerical analysis method for solving complicated problems with different geometric domains by varying the boundary conditions and dividing the domain into smaller ones. The objective of this study is to solve such a problem of current, voltage, active power and reactive power distribution on the lines using the FEM. For this purpose, this study derives the second-order differential governing equations in a transmission line. To validate the proposed methods, this study models radial systems in MATLAB and combines the Newton-Raphson method to find the boundary conditions. As a result, the proposed method can detect the increase of overvoltage and undervoltage in the transmission line connected by the constant heavy loads. This study showed that the Newton-Raphson method can be error-prone when the length of the transmission line increases significantly.