大型Z箍缩装置中心汇流区电感计算

Inductance Calculation of the Central Converging Region of High Current Z-Pinch Driver

为了快速估算大型Z箍缩装置中心汇流区电感,研究Z箍缩装置电功率和能量传输效率的规律,对Z箍缩装置中心汇流区做近似处理,给出了绝缘堆、真空喇叭口、真空磁绝缘传输线、汇流柱等部件电感近似计算公式,建立了一种快速估算Z箍缩装置中心汇流区电感的方法,获得了中心汇流区电感与电气参数(绝缘堆峰值电压)和结构参数(中心汇流区半径及分层数、真空磁绝缘传输线倾角)的定量关系。在此基础上,建立了典型Z箍缩装置简化电路模型,实现了从中心汇流区结构参数→电气参数→输出电流的自洽电路模拟,获得了中心汇流区分层数及半径对Z箍缩装置短路电流的影响规律。计算结果表明:所提电感计算方法获得国际典型Z箍缩装置的中心汇流区电感与文献最大误差为3.3%;中心汇流区电感随分层数增大而减小、随半径先减小后增大,存在使中心汇流区电感最小的优化半径。所提方法可为同类型Z箍缩装置的设计提供理论参考。

To quickly calculate the inductance of the central converging region and reveal the laws of the power and energy transmission efficiency of the high current Z-pinch driver,an analytical method is established to calculate the central inductance by an approximation of the structure of the central converging region,providing the approximate calculation formulas of inductance of insulator stacks,vacuum flare,vacuum magnetically insulated transmission lines and post-hole convolute.The quantitative relation between the central inductance and the electric(peak voltage of insulator stack)and structural parameters(radius and number of levels of the central confluence region,vacuum magnetically insulated transmission lines)was discussed.The simplified circuit of the typical Z-pinch driver was modeled on this basis,and the self-consistent circuit model of the structural parameters→electric parameters→load current was set up.Finally,the influence of the level and radius of the stack on the short-circuit load current of the driver is obtained.The results show that the maximum error between the inductance obtained by the method proposed and values given in the literature of the international typical Z-pinch drivers is 3.3%.The central inductance decreases with the increase of the number of levels of the central region,decreases first with the radius and then increases,and there is an optimization radius that minimizes the central inductance.This method proposed can provide a theoretical reference for the design of the same type of Z-pinch drivers.