线-面传输线Taylor与Agrawal模型解的比较

基于Maxwell方程推导描述外电磁场对导线的耦合传输线模型有Taylor,Agrawal和Rachidi三种模型,每个耦合公式给出相同的传输线响应,但是它们之间又有细微的差别,Nucci和Rachidi通过数值方法验证在圆柱形雷电电磁场激励下这三种线-面传输线模型在负载终端具有相同的全电压解。本文采用解析的方法对线-面传输线Taylor模型和Agrawal模型进行研究,获得了这两个模型基于平面电磁波激励下的终端负载响应的解析解,证明了它们的解析解是相同的。也就是说,线-面传输线Taylor模型和Agrawal模型其实是对同一个解的不同描述。因此,在实际应用时,可以根据具体情况来选择不同的传输线模型进行求解。

Comparison of Solutions to the Taylor and Agrawal Coupling Models for the Line-plane Transmission-lines

Based on the transmission line approximation,three different equivalent formulations have been proposed for evaluating the interaction between an external electromagnetic field and a transmission line.Moreover,for the line-plane transmission-line,employing the three formulations,C.A.Nucci and F.Rachidi discussed the voltages induced on an overhead line by a nearby lightning strike and,by numerical example,showed that the total induced voltages predicted by these three formulations are identical.This paper,by using an analytic method to discuss the load voltage and current response with the line-plane transmission-line Taylor and Agrawal coupling models,obtained their analytic solutions of the load response for a plane-wave excitation.In the end,it proves that the analytic solutions are equal indeed.In other words,the two coupling formulations are different expressions of the same equations.