On the issue of modeling a high-voltage insulator in the COMSOL Multiphysics 5.6 soft package

IF 0.4 Q4 MATHEMATICS, APPLIED Journal of Applied Mathematics & Informatics Pub Date : 2021-10-29 DOI:10.37791/2687-0649-2021-16-5-126-135
E. Andreenkov, Vaclav E. Skorubskiy, S. Shunaev
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Abstract

The article discusses the main aspects of modeling suspended polymer high-voltage insulation of overhead power lines (PTL) in the COMSOL Multiphysics 5.6 software package. Analytical expressions of the mathematical model of the electromagnetic field around the insulator are given, on the basis of which a numerical solution is formed within the software package that allows you to build a model of the electric field in two-dimensional and three-dimensional space. There are three main stages of working with the program interface. At the first stage, the task of the geometric dimensions of the model and the surrounding area is considered, attention is paid to the formation of the design features of polymer insulators. In the second stage, the physical properties of the structural materials of the insulator, as well as the surrounding space, are described. The third stage is reduced to the determination of boundary conditions for solving the Poisson differential equation. Recommendations for finite element mesh density are given. A gradient picture of the distribution of the electric potential near the surface of the insulator is presented. The graphs of the distribution of the normal component of the electric field strength along the surface of the insulator are also plotted. On the basis of the obtained results, the influence of external factors on the properties of the polymer insulator is studied. A possible variant of modeling influencing factors, such as pollution and moisture, by making changes in the description of the physical properties of the insulator surface, namely by including a uniform and continuous layer with a given conductivity, is described. The distribution of the normal component of the electric field strength along the surface of the insulator with contamination is obtained. The results of modeling the electric field distribution with the presence of contamination on the surface of the insulator and its absence are summarized in the table where the electric field strength is indicated depending on the distance to the traverse. Based on the analysis of the results obtained, an assumption is made about the overestimated level of the maximum electric field on the insulators recommended by the manufacturers. The convergence of the considered models with the experimental data obtained in the course of long-term observation of the dynamics of the degradation and aging processes of the surface of polymer suspended insulators of overhead transmission lines is discussed.
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在COMSOL Multiphysics 5.6软件包中对高压绝缘体进行建模
本文讨论了COMSOL Multiphysics 5.6软件包中架空电力线悬浮聚合物高压绝缘(PTL)建模的主要方面。给出了绝缘子周围电磁场数学模型的解析表达式,在此基础上,在软件包中形成数值解,使您可以在二维和三维空间中建立电场模型。使用程序接口有三个主要阶段。第一阶段主要考虑模型的几何尺寸和周边区域的任务,着重于聚合物绝缘体设计特征的形成。在第二阶段,描述绝缘子结构材料的物理性质,以及周围的空间。第三阶段简化为求解泊松微分方程的边界条件的确定。给出了有限元网格密度的建议。给出了绝缘子表面附近电势分布的梯度图。并绘制了电场强度法向分量沿绝缘子表面的分布图。在此基础上,研究了外界因素对聚合物绝缘体性能的影响。通过改变对绝缘体表面物理特性的描述,即包括具有给定导电性的均匀连续层,描述了模拟影响因素(如污染和湿度)的一种可能变体。得到了电场强度法向分量沿受污染绝缘子表面的分布。在绝缘子表面有污染和没有污染的情况下,电场分布的建模结果总结在表中,其中电场强度根据与导线的距离表示。在对所得结果进行分析的基础上,对厂商推荐的绝缘子上最大电场的高估程度作了假设。讨论了所考虑的模型与架空输电线路聚合物悬浮绝缘子表面降解和老化动力学的长期观测数据的收敛性。
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