## 1 Introduction  
At present, special attention is paid to the electromagnetic safety (ES) of electric power facilities [1, 2]. One of the main factors determining the ES conditions are the electromagnetic fields (EMF) created near these facilities. High-voltage power transmission lines and single-phase traction networks can generate electromagnetic fields with increased intensity levels. Special measures are required to improve ES conditions. Their selection should be based on computer modeling, especially in the context of widespread digitalization. The importance of determining EMF is confirmed by numerous publications on this topic. For example, in [3] the results of EMF studies in the areas surrounding transport equipment are presented. It is noted that railway electrical installations are very complex and are powerful sources of EMF. Important aspects of electromagnetic compatibility (EMC) between components of traction power supply systems (TPSS) and the adjacent territory are described. In transport, electric power is used to move trains, as well as for signaling devices, telecommunications and power supply of control centers. Thus, EMC problems can arise not only in TPSS, but also in related systems. The results of EMF modeling near contact suspensions and around the grounding loop are presented in order to check EMC. The issues of modeling the electromagnetic environment of the traction network are considered in [4]. The industrial frequency magnetic fields created by traction networks (TN) are studied. Based on the theory of multi-wire power transmission lines, a mathematical model of the TN is created to study the current distribution in each conductor. The finite element method was used to create a TN model in normal operating condition and during short circuit of the contact wire and rail. The industrial frequency magnetic field created by the TN along the railway route was modeled. The results of the study of the EMF of the traction network during a short circuit (SC) are presented in [5]. It is shown that a SC current pulse can create an extreme and dangerous situation, for the study of which experiments were conducted. On this basis, data were obtained to determine the safety and stability conditions of the high-speed railway. A method for predicting EMF, developed on the basis of an experiment with a SC in the traction network, taking into account all the influencing factors, is presented. A regression neural network was used to simplify the calculation of the parameter matrix. The finite difference method was used to predict the distribution of transient currents and EMF of the TN, and the accuracy was verified by field tests. The proposed approach creates a theoretical basis for assessing EMF and protecting low-current equipment. An assessment of the induced voltage on a de-energized overhead power line caused by the electromagnetic influence of the AC railway TS is given in [6]. A significant problem of traction power supply systems with an alternating current of 25 kV is the electromagnetic influence (EMI) exerted on nearby power lines. The first component is due to the presence of an electric field in the space surrounding the 25 kV contact network. The second is determined by the presence of a magnetic field created when alternating current flows in the TS. Induced voltages are proportional to the magnitude of currents in the TS and the length of the section along which the power line is located. An assessment of the induced voltage on a disconnected 110 kV power line caused by the electromagnetic influence of the TS of a single-track railway was made. Calculations were performed for various options for grounding the line, taking into account the change in the position of the locomotive on the track. For this purpose, EMITP-ATP software was used, which allows the modeling of power transmission lines and vehicles, taking into account their relative positions. The analysis of electromagnetic fields on railways is carried out in [7]. The EMF in the TPSS is studied.