{"title":"Nonmonotonic Variation Mechanism of Electrical Tree Shapes in XLPE With Temperature Increase","authors":"Kang He;Jiahong He;Bingtuan Gao","doi":"10.1109/TDEI.2026.3704524","DOIUrl":null,"url":null,"abstract":"Electrical tree shapes show a “branch-bush-branch” nonmonotonic variation with temperature increase, related to the dielectric aggregation state and the Young’s modulus. An electric and stress field-driven electric tree model to explain this nonmonotonic variation is proposed in this article. Simulations and experiments at <inline-formula> <tex-math>$30~^{\\circ }$ </tex-math></inline-formula>C, <inline-formula> <tex-math>$60~^{\\circ }$ </tex-math></inline-formula>C, and <inline-formula> <tex-math>$90~^{\\circ }$ </tex-math></inline-formula>C are carried out to analyze the effect of the Young’s modulus, physical fields, and driving energies on the tree shapes. At <inline-formula> <tex-math>$30~^{\\circ }$ </tex-math></inline-formula>C, the tree is branch-shaped because the electric field concentrates at the tree tips and is the dominant factor driving the tree growth. At <inline-formula> <tex-math>$60~^{\\circ }$ </tex-math></inline-formula>C, the tree is bush-shaped because the growth energy threshold decreases, and high electric field zones cover the lateral walls of the tree channel. The electric field remains the dominant driving factor. At <inline-formula> <tex-math>$90~^{\\circ }$ </tex-math></inline-formula>C, the tree is branch-shaped because the strain energy significantly increases and the stress field becomes the dominant factor. Therefore, the analysis of the physical fields and energies can effectively reveal the mechanism of tree shape nonmonotonic variation with temperature increase.","PeriodicalId":13247,"journal":{"name":"IEEE Transactions on Dielectrics and Electrical Insulation","volume":"33 5","pages":"3315-3323"},"PeriodicalIF":3.3000,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Dielectrics and Electrical Insulation","FirstCategoryId":"5","ListUrlMain":"https://ieeexplore.ieee.org/document/11569088/","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/6/17 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
Electrical tree shapes show a “branch-bush-branch” nonmonotonic variation with temperature increase, related to the dielectric aggregation state and the Young’s modulus. An electric and stress field-driven electric tree model to explain this nonmonotonic variation is proposed in this article. Simulations and experiments at $30~^{\circ }$ C, $60~^{\circ }$ C, and $90~^{\circ }$ C are carried out to analyze the effect of the Young’s modulus, physical fields, and driving energies on the tree shapes. At $30~^{\circ }$ C, the tree is branch-shaped because the electric field concentrates at the tree tips and is the dominant factor driving the tree growth. At $60~^{\circ }$ C, the tree is bush-shaped because the growth energy threshold decreases, and high electric field zones cover the lateral walls of the tree channel. The electric field remains the dominant driving factor. At $90~^{\circ }$ C, the tree is branch-shaped because the strain energy significantly increases and the stress field becomes the dominant factor. Therefore, the analysis of the physical fields and energies can effectively reveal the mechanism of tree shape nonmonotonic variation with temperature increase.
期刊介绍:
Topics that are concerned with dielectric phenomena and measurements, with development and characterization of gaseous, vacuum, liquid and solid electrical insulating materials and systems; and with utilization of these materials in circuits and systems under condition of use.