Determination of electrical quantities in the system of conductors under the influence of the dc electrified railway transport using hartley transform

The paper deals with the influence of stray currents on underground metal structures located near the traction rail network. The paper presents a system consisting of a traction rail network, a grounding grid and two isolated underground conductors located under the stray currents influence caused by electrified railway transport. Analytical expressions for the calculation of the distribution of electrical quantities in underground structures with their mutual influence were obtained. The expressions were obtained using Hartley integral transform, which in contrast to the Fourier transform allows carrying out integral transformations only with real-valued functions. The obtained expressions allow determining the zone of dangerous influence of stray current and can be used in the design of underground structure protection.