Analytical and Numerical Development of the Electromagnetic Interference Between a High-Voltage Power Line and a Metallic Underground Pipeline

The accurate calculation of the current densities and voltages induced in layered soil by a high-voltage (HV) transmission line in normal conditions (in the same right-of-way with a metallic underground pipeline) is one of the most important step for the study of the electromagnetic interference between transmission lines and underground metallic structures. The purpose, of the present paper is to examine the influence that soil layers (with different resistivities) have on the induced current densities levels and induced voltages in a metallic pipeline due to the presence of a nearby power line. New analytical formulas for the induced currents densities in the twolayer earth case are derived. The determined formulas contain semi-infinite integral terms, which are calculated by a novel stable and efficient numerical integration scheme in order to overcome the problems arising from the oscillating form of the infinite integrals.