<p>The finite element method (FEM) has an advantage in modeling complex geometries and irregular shapes due to the discretization of the domain. The objective of this study is to present such a FEM algorithm capable of analyzing the voltage, current, active power, reactive power, and short-circuit voltage and current per distance of lines of a power system with distributed generation (DG) source, transformers, and loads. For this purpose, the second derivative of the traveling wave equations in a long-distance transmission line is derived and the one-dimensional FEM algorithm with tent functions in its subdomain is designed in MATLAB. For validation, this study provides case studies of a long-distance transmission line with constant power loads at constant voltage, transformers, and the DG source. As a result, the voltage, current, power, and short-circuit voltage and current profiles of a long-distance transmission line are examined by distance. The proposed FEM can solve the overvoltage problem in the long-distance transmission line (e.g., finding the exact location of the overvoltage).</p>