爆炸性试验电感电路分断放电特性分析与建模

Analysis and modeling of inductor-disconnected-discharged characteristics based on explosive test

为了建立能模拟电感电路分断放电特性的模型,基于安全火花试验装置对其分断放电特性进行爆炸性试验研究,指出电感电路分断放电过程可分为3个阶段,即建弧阶段、电弧放电阶段和辉光放电阶段,且放电电弧结构可分为3个区,即阴极区、弧柱区和阳极区,得出放电电弧的最小建弧电压主要取决于阳极和阴极位降。分析了各放电阶段电阻的变化特点,指出其放电电弧电阻呈分段指数规律变化,且其增长幅度随着时间的增加而逐渐加快。基于电弧能量平衡理论,提出了一种电弧放电阶段的电阻指数模型,利用多分段函数确定其指数系数。采用最小二乘法推导出电感电路分断电弧放电时间常数,得出了模拟电感电路分断电弧放电特性的数学模型。仿真及试验结果验证了理论分析及所提出模型的正确性和可行性。

To establish a model which can simulate the Inductor-Disconnected-Discharged( IDD) characteristics,the IDD characteristics are studied through explosive test,based on the safety spark test apparatus. It showed that the IDD process could be divided into three stages,i. e.,arcing stage,arc discharge stage and glow discharge stage,and the IDD arc structures could be divided into three regions,i. e.,cathode,arc pole and anode region. It was obtained that the minimum arcing voltage depends strongly on anode and cathode potential fall. The discharge resistances in each IDD stage were analyzed. It showed that the discharge resistances present the increment of a segmented exponential law,and get bigger with the increase of discharge time. Based on arc energy balance theory,a resistance exponential model at the arc discharge stage was proposed,and the exponential coefficient was determined with multi-piecewise function. By using the least-squares method,IDD duration was derived for the inductive circuit. The mathematical models of the arc discharge characteristics were obtained. Simulation and experiment results show that the proposed model and theoretical analysis are valid and feasible.