Consideration of Surface Relief to Model Electromagnetic Fields in Traction Networks

N. Buyakova, A. Kryukov, V. Zakaryukin
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Abstract

The research presented in the paper is aimed at developing methods and tools for adequate consideration of surface relief when modeling electromagnetic fields in traction power supply systems. To accomplish this goal, we applied the technologies for the determination of operating conditions of the traction power supply system in phase coordinates. The technologies are based on the models of components represented by lattice equivalent circuits with fully-connected topology. These models and methods are implemented in the Fazonord software that ensures modeling of the operation of traction power supply systems of various types and determination of strengths of electromagnetic field (EMF) created by traction networks of these systems. To calculate the EMF strengths of the surface irregularities represented by such structures as embankments, cuttings and slopes, they were simulated by sets of earthed wires located on the boundary of a structure. The distances between the wires were taken to be much shorter than the distances from these wires to the observation point. The paper presents the calculation results for electromagnetic fields in the traction networks constructed along the routes characterized by uneven relief. The research demonstrates that the proposed methods enable the implementation of an effective computer technology for modeling electromagnetic fields, that makes it possible to take into account the surface irregularities. The results of modeling the specific relief features indicate that the differences with respect to the model of a flat ground surface can reach 60 percent for electric field and 54 percent for magnetic field.
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考虑地表起伏对牵引网络电磁场建模的影响
本文的研究旨在开发在牵引供电系统电磁场建模时充分考虑地表起伏的方法和工具。为了实现这一目标,我们应用相坐标法确定牵引供电系统运行状态的技术。该技术基于全连接拓扑的晶格等效电路表示的元件模型。这些模型和方法在Fazonord软件中实现,确保对各种类型的牵引供电系统的运行进行建模,并确定由这些系统的牵引网络产生的电磁场(EMF)强度。为了计算由诸如堤防、岩屑和斜坡等结构所代表的表面不规则性的EMF强度,通过位于结构边界上的一组接地线来模拟它们。电线之间的距离被认为比这些电线到观测点的距离短得多。本文给出了沿起伏不均匀线路建设的牵引网电磁场的计算结果。研究表明,所提出的方法能够实现一种有效的电磁场建模计算机技术,这使得考虑表面不规则性成为可能。具体地形特征的建模结果表明,电场模型与平坦地面模型的差异可达60%,磁场模型的差异可达54%。
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