Finite Element Study on Electric Field Distortion and Maxwell Stress Distribution Characteristics of XLPE Insulation Considering Water tree under Different Conditions

Jiaming Liang, Shiying Hou, Fan Yang
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Abstract

Water tree is one of the important factors that affect the service life of XLPE insulation cable and seriously threaten the safety of cable operation. In order to study the electric field distortion and Maxwell stress distribution characteristics considering water tree under different circumstances, the paper takes position, length and dispersion into consideration, and then a cable insulaton model with water tree defects under different conditions is established in the finite element simulation software. By applying a fixed voltage on both sides of the insulation, the axial electric field intensity of water tree is scanned, the maximum electric field intensity in the insulation is counted, and the influence characteristics of water tree on the electric field distortion of cable XLPE insulation are studied. At the same time, the Maxwell stress caused by electric field distortion is calculated, and the maximum axial stress of water tree is extracted and analyzed. The results show that when the size is approximately the same, the electric field distortion caused by Inner dispersed water tree is significantly higher than that on Outer dispersed water tree, and the electric field distortion caused by the Butterfly-shaped water tree whose size is approximately twice that of the dispersed water tree is between the two; The effect of length and dispersion on electric field distortion varies with water tree type and location.In terms of stress, the Maxwell stress caused by the Inner dispersed water tree is greater than the Outer dispersed water tree with approximately the same size and the Butterfly-shaped water tree with approximately twice the size. The increase of length is conducive to the reduction of the maximum Maxwell stress caused by the dispersed water tree.
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不同条件下考虑水树的交联聚乙烯绝缘电场畸变及Maxwell应力分布特性的有限元研究
水树是影响交联聚乙烯绝缘电缆使用寿命的重要因素之一,严重威胁着电缆的运行安全。为了研究不同情况下考虑水树的电场畸变和麦克斯韦应力分布特性,本文考虑位置、长度和弥散,在有限元仿真软件中建立了不同条件下含水树缺陷的电缆绝缘模型。通过在绝缘层两侧施加固定电压,扫描水树轴向电场强度,计算绝缘层内最大电场强度,研究水树对电缆交联聚乙烯绝缘层电场畸变的影响特性。同时,计算了电场畸变引起的麦克斯韦应力,提取并分析了水树的最大轴向应力。结果表明:在尺寸近似相同的情况下,内分散水树引起的电场畸变显著高于外分散水树,而尺寸约为分散水树两倍的蝶形水树引起的电场畸变介于两者之间;长度和色散对电场畸变的影响随水树类型和位置的不同而不同。在应力方面,内分散水树产生的麦克斯韦应力大于外分散水树,其大小大致相同,蝴蝶形水树的大小约为其两倍。长度的增加有利于减小由分散的水树引起的最大麦克斯韦应力。
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