整体径向传输线谐振特性分析  

Influence Factors of Resonant Frequencies in Monolithic Radial Transmission Line

作　　者：周全 邹晓兵[1] 王新新[1] ZHOU Quan;ZOU Xiaobing;WANG Xinxin(Department of Electrical Engineering,Tsinghua University,Beijing 100084,China;College of Advanced Interdisciplinary Studies,National University of Defense Technology,Changsha 410005,China)

机构地区：[1]清华大学电机工程和应用电子技术系,北京100084 [2]国防科技大学前沿交叉学科学院,长沙410005

出　　处：《现代应用物理》2022年第4期148-154,共7页Modern Applied Physics

基　　金：国家自然科学基金资助项目(51790522)。

摘　　要：从谐振频率的理论计算公式出发,借用理论分析和3维电磁场数值模拟,研究发现输入同轴线数与谐振频率大小成正相关、外圈半径和绝缘介质相对介电常数与谐振频率大小成负相关。对理论计算公式中忽略的3个因素,即输入结构、线型和挖孔设计,对谐振频率的影响进行深入研究。研究发现,输入结构将降低谐振频率,而线型及挖孔设计对谐振频率大小的影响几乎可忽略。研究结果对整体径向传输线的设计和使用具有指导意义,可通过减小外圈半径或绝缘介质相对介电常数,增加输入同轴线数和合理设计输入结构,使谐振频率远离其工作频率范围,即第一个谐振频率大于其最大工作频率。考虑到在Z箍缩场景下整体径向传输线的工作主频范围约为0~10 MHz,对于Z-800装置,在原有设计基础上各参数单独变化的范围为输入同轴线数应大于22,外圈半径应小于17.5 m,绝缘介质相对介电常数应小于115。Based on the theoretical calculation formula of resonant frequency,through theoretical analysis and numerical simulation of three-dimensional electromagnetic field,it is found that the number of input coaxial lines is positively correlated with those resonant frequencies,and the radius of the outer ring and the relative permittivity of insulating medium are negatively correlated with those resonant frequencies.Then,this paper analyzes the influence of three common factors not considered in the theoretical calculation formula,that is,the input structure,line type,and hole digging design.It is found that the input structure decreases the resonant frequencies and the influence of line type and hole digging design on those resonant frequencies can be almost ignored.The resonant frequency can be far away from its working frequency range by reducing the outer ring radius or the relative permittivity of insulating medium,increasing the number of input coaxial lines and designing the input structure properly.Considering that the main frequency range of monolithic radial transmission line(MRTL)in Z-pinch is about 0~10 MHz,based on Z-800’s original design,to ensure that the resonant frequency avoids the main frequency range,the number of input coaxial lines should be greater than 22,the radius of the outer ring should be less than 17.5 m,and the relative permittivity of insulating medium should be less than 115.The research on the influence factors of resonant frequencies is helpful to guide the design and use of the MRTL.

关 键 词：整体径向传输线 Z箍缩装置 谐振频率 散射参数 电磁场模型 

分 类 号：TM89[电气工程—高电压与绝缘技术] TL51[核科学技术—核技术及应用]