电磁轨道炮二阶欠阻尼电路的模型构建与分析

Model Building and Analysis of Electromagnetic Railgun About the Second Order Owes Damping Circuit

采用了一种简单的等效电路模型,建立了电磁轨道炮的回路方程。利用拉普拉斯变换及反变换得出了储能电容器上的电压、放电回路电流和电枢反电动势的表达式,运用MATLAB软件分析了不同电感梯度下三者的变化规律。结果表明:电感梯度越大,电压波动越小,电流波动也越小,反电动势则越大。随着时间的增长,它们的波动频率先是比较显著,继而逐渐趋向于零。这对研究电磁炮电路问题提供了一定的理论依据。

A simple equivalent circuit model is adopted and the loop equation of the electromagnetic railgun is established.There will obtain the expression of the energy-storage capacitor voltage,the discharging loop current and the armature back electromotive force by the laplace transform and inverse transform,and analyze their change law in different inductance gradient using MATLAB software.The results showed when the inductance gradient increase,the voltage fluctuation and the current wave decrease,but the back emf increase.At first their wave frequency are obvious,while them will tend to zero with the time change.The model will provide certain theoretical basis with regard to study circuit problem of the electromagnetic railgun.