This paper presents a simple and reliable algorithm for harmonic analysis of both current and voltage conditions along two-system overhead lines. The developed numerical model for the analysis of induced voltages along two-system overhead lines is based on the finite element technique (FET). The essence of the finite element technique is to reduce the problem of solving a complicated system to the problem of solving a subsystem, for which we can easily define a local system of equations based on a mathematical model. In order to calculate the distribution of short-circuit current along the observed two-system overhead lines, it is necessary to divide the entire transmission line into as many finite elements as there are spans. It is also necessary to represent each tower earthing switch as a separate finite element. The hydroelectric power plant with its associated generators and the incident network are also represented as separate finite elements with associated parameters. The safety of the contractor working on the disconnected triplex of the two-system line directly depends on the amount of induced voltages at the work site. As the worst case scenario from the point of view of induced voltages, we considered the case of a single-pole short circuit on the active triplex of the transmission line, where the highest possible current value was taken into account. During this time, the disconnected or passive triplex was grounded on both sides. The induced voltages were analyzed in the case of a grounded work site and the two adjacent poles along the entire dual-system line.