气体火花开关放电的数值模拟

 基于Rompe-Weizel火花动态电阻公式，数值计算了电容器经火花开关放电时负载电阻上的输出电压。在相同电参数条件下，计算所得的峰值电压为54 kV，前沿为2.0 ns，与实验所得的55 kV和2.3 ns基本吻合。基于Braginskii火花动态电阻公式，在假定火花开关电导率恒定与电导率渐变的条件下，利用传输线放电电路数值计算了气体火花开关的非线性动态电阻。与已有实验测量结果(0.7～0.9 Ω)对比，发现电导率渐变模型(0.5～0.8 Ω)更适合用于反映火花开关的动态电阻变化过程。进而在此模型中引入了负载电阻项，通过计算负载端的透射电流，数值计算得单脉冲形成线对负载放电时的电压脉冲前沿为7～9 ns，而利用单线经高压氢气自击穿火花开关放电得到初步实验结果为8 ns。

Numerical simulation of gas spark gap discharge

In this paper, the output voltage on a resistive load of a capacitor discharging circuit is numerically calculated based on Rompe-Weizel's formula for spark dynamic resistance. With the same electrical parameters, the calculated peak voltage is 54 kV, and the rise time is 2.0 ns, while the published experimental data are 55 kV and 2.3 ns respectively. Both results agree well basically. Based on Braginskii's formula for spark dynamic resistance, the nonlinear dynamic resistance of a spark gap used in a transmission line discharging circuit is calculated under the assumption of constant conductivity and variable conductivity. The comparison between calculated results(0.5~0.8 Ω) and existent measured data(0.7~0.9 Ω) indicates that the model of spark dynamic resistance with variable conducti