双柱体系统局部电场计算的互偶极子模型  

The Mutual-Coupling Dipole Model in Calculating the Local Electric Field for Two-Cylinder System

作　　者：张嘉琳 康永强 蒲绪宏 李帅兵 Zhang Jialin;Kang Yongqiang;Pu Xuhong;Li Shuaibing(School of New Energy and Power Engineering,Lanzhou Jiaotong University,Lanzhou,730070,China;State Key Laboratory of Large Electric Drive System and Equipment Technology,Tianshui,741020,China)

机构地区：[1]兰州交通大学新能源与动力工程学院,兰州730070 [2]大型电气传动系统与装备技术国家重点实验室,天水741020

出　　处：《电工技术学报》2024年第12期3869-3883,共15页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(52067014);甘肃省自然科学基金(22JR5RA352);兰州交通大学“天佑青年托举人才计划”资助项目。

摘　　要：两相体局部电场计算模型是研究两相体电场分布、相互作用机制等重要课题的关键,而线电偶极子模型是当前双柱体系统电场计算的经典模型,但当柱体间距较近且介电常数较大时,其计算误差显著增大。针对该问题,该文考虑双柱体系统在均匀电场中的相互作用与极化过程,将处于电场环境中的柱体极化过程分解为外电场极化与相互作用极化两个过程,其中外电场极化结果通过位于柱体轴心的自偶极矩表征,而柱体间极化结果通过一个偏离柱体轴心的互偶极矩表征,并由此构建了双柱体系统互偶极子模型。通过与经典线电偶极子模型及有限元模型计算结果的对比发现,所提的双柱体系统互偶极子模型即使在柱体间距D=0.1R且介电常数之比εi/εe=100时,其计算误差仍小于5%,该结果表明互偶极子模型能够在柱体间距较小且介电常数之比较大时,对双柱体系统的电场分布得到较为精确的计算结果。The local electric field calculation model of the two-phase body is the key to studying the electric field distribution and interaction mechanism of the two-phase body.The line-dipole-at-the-center model is the current classical model to calculate the electric field of the two-cylinder system.Its principle is to arrange the electric dipoles along the cylinder center to equivalent the polarization effect of the applied electric field.However,it does not fully consider the mutual polarization process of the cylinder.Therefore,the result is guaranteed when the cylinder is single,or the distance is long.When the cylinder distance is close and the permittivity is large,the calculation error increases significantly.This paper considers the interaction and polarization process of the two-cylinder system in a uniform electric field.The polarization process of the cylinder in an electric field environment is divided into two processes:applied electric field polarization and interaction polarization.Herein,the polarization result of the applied electric field is characterized by a self-dipole moment located at the cylinder’s axis,and the polarization result of the inter-cylinder is characterized by a mutual-coupling dipole moment away from the cylinder’s axis.The deviation degree from the center of the cylinder represents the degree of the interaction between cylinders.The mutual-coupling dipole model of the two-cylinder system is constructed,and the analytical expressions of the mutual-coupling dipole moment and the mutual dipole moment offset are obtained.Compared with the classical model of line dipole at the center and the finite element model,the calculation error of the proposed mutual-coupling dipole model of the two-cylinder system is less than 5%.The similarity to the finite element method reaches 0.5756,even when the cylinder distance D=0.1R and the permittivity ratioεi/εe=100.The similarity of the curve is much higher than that of the line-dipole-at-the-center model.Moreover,when the permittivity ratio is

关 键 词：双柱体系统 柱体间相互作用 电场分布 互偶极子模型 

分 类 号：TM15[电气工程—电工理论与新技术]