Analytical Method of Electro-Magnetic Induction by a Four-Terminal Parameter and its Application to Pipeline Induced Voltages

Abstract

This paper has proposed an analytical method of solving electromagnetically induced voltages and currents on a pipeline and/or on a communication line from a power line. The method is based on a solution of a differential equation expressing the electromagnetic induction on a distributed line system, and is formulated in the same manner as a four-terminal parameter circuit equation by introducing an ideal induced current which is given as the ratio of the induced voltage and the induced circuit impedance. The application of the method is exactly the same as that of an well-known two-port circuit analysis. The method is applied to induced voltages on a pipeline. Analytical results evaluated by the method are compared with EMTP simulation results, and the accuracy of the method is confirmed to be high. Also, a qualitative characteristic of the induced voltages is made clear based on the analytical results of various grounding resistances, including currents and circuit composition.