叠层式介电功能梯度绝缘子的介电常数分布优化

李文栋 1; 刘哲 1; 有晓宇 1; 李晓冉 1; 张冠军 1; 董勤晓 2

doi:10.7652/xjtuxb201610004

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叠层式介电功能梯度绝缘子的介电常数分布优化

更新时间：2025-07-09

- 叠层式介电功能梯度绝缘子的介电常数分布优化
- Permittivity Distribution Optimization for Multi-Layer Dielectric FGM Insulator
- 西安交通大学学报 2016年50卷第10期页码：19-26
- 作者机构：
  
  西安交通大学电力设备电气绝缘国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
  
  : 2016-01-04。作者简介: 李文栋(1989—),男,博士生;张冠军(通信作者),男,教授,博士生导师。基金项目: 国家重点基础研究发展计划资助项目(2015CB251003);国家自然科学基金创新研究群体资助项目(51521065);国家杰出青年科学基金资助项目(51125029)
- DOI：10.7652/xjtuxb201610004
  中图分类号： TM854
- 网络首发：2016-10-10，
  
  纸质出版：2016
- 稿件说明：
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李文栋 1, 刘哲 1, 有晓宇 1, 等. 叠层式介电功能梯度绝缘子的介电常数分布优化[J]. 西安交通大学学报, 2016,50(10):19-26.

Permittivity Distribution Optimization for Multi-Layer Dielectric FGM Insulator[J]. 2016, 50(10): 19-26.
李文栋 1, 刘哲 1, 有晓宇 1, 等. 叠层式介电功能梯度绝缘子的介电常数分布优化[J]. 西安交通大学学报, 2016,50(10):19-26. DOI： 10.7652/xjtuxb201610004.

Permittivity Distribution Optimization for Multi-Layer Dielectric FGM Insulator[J]. 2016, 50(10): 19-26. DOI： 10.7652/xjtuxb201610004.

摘要

针对目前缺少介电功能梯度材料(d-FGM)内部介电特性分布的优化方法这一问题

提出了一种适用于交变电压下的叠层式介电常数FGM(ε-FGM)绝缘子内部介电特性的优化算法。该算法以降低绝缘子沿面最大电场强度为目标

使用迭代方法

根据当前电场强度、目标电场强度及介电常数上下限等设计参数

自适应地调整每层材料的介电常数

获得优化的介电常数分布; 通过改变迭代系数和缩减系数

控制算法收敛过程

降低计算时间和资源消耗。仿真结果表明:相对于匀质绝缘子

ε-FGM绝缘子内部及沿面附近电场的不均匀程度得到明显改善

沿面最大场强的降幅超过60%; 绝缘子的单层厚度应当在工艺条件满足的基础上尽可能地减小; 沿面最大场强会随着介电常数上限的增加而非线性降低

存在饱和现象

饱和阈值与优化前的沿面最大场强呈正相关。研究结果验证了该算法的有效性

且表明以ε-FGM为代表的d-FGM具有优异的电场分布优化效果

有望在各类高压设备的固体绝缘系统中获得广泛的应用。

Abstract

At the present there lacks proper optimization method for internal dielectric properties of dielectric functionally-graded-material(d-FGM). An optimization algorithm of internal permittivity distribution for multi-layer permittivity FGM(ε-FGM)insulator under AC voltage is proposed

which aims at weakening the maximum electric field(e-field)strength along the insulator surface. According to design parameters

such as current e-field strength

objective e-field value and permittivity range

the permittivity value of each layer is self-adaptively updated with iterations to obtain the optimized permittivity distribution. The iterative coefficient and shrinking coefficient are adjusted to control the convergence process and shorten calculation period. Compared with uniform insulator

e-field distribution inside and along the surface of ε-FGM insulator is more uniform and the maximum e-field strength along surface is weakened more than 60%

and the layer thickness of the multi-layer ε-FGM insulator ought to be set as small as possible under the allowed fabrication conditions. The maximum surface e-field strength decreases nonlinearly with the increasing permittivity upper limit and saturates as the upper limit reaches certain threshold value

which has positive correlation with the maximum e-field strength before optimization.

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references

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