Abstract

On the basis of the presented differential form of the mathematical model describing the steady-state thermal conductivity in the layer of electrical insulation of a single-core high-voltage dc cable, the variation form of this model is elaborated. The analysis of stationary points of the functional obtained is carried out and a critical combination of the main parameters preceding the thermal breakdown of this layer has been determined. To find the best trial functions allowable for the functional, which approximate the stationary temperature distribution in the polymer layer of electrical insulation, residuals are compared that arise when substituting these functions into an original differential equation.

中文翻译：

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高压直流电缆电绝缘的热击穿变化模型

摘要

基于描述的单模高压直流电缆电绝缘层中稳态导热系数的数学模型的微分形式，阐述了该模型的变化形式。对获得的功能的固定点进行了分析，并确定了该层热击穿之前的主要参数的关键组合。为了找到允许该功能的最佳试验功能，该功能近似于电绝缘聚合物层中的固定温度分布，比较了将这些功能代入原始微分方程时出现的残差。