分层媒质中电流元产生的Hertz位基本解

Solution of the Hertz Potential Generated by Current Element in Layered Medium

利用指数Fourier变换,给出了一种求解电流元在分层媒质中产生的Hertz位的推导方法。基于电磁场理论推导了Hertz位所满足的非齐次Helmholtz微分方程,求出了分层媒质中Helmholtz微分方程的基本解。该方法为模拟变电站接地网的暂态特性提供了理论基础。

By using exponential Fourier transform, a method for getting the solution of the Hertz potential generated by current element in layered medium is presented. Based on the theory of e-lectromagnetics, the nonhomogeneous differential equation satisfied by the Hertz potential is derived, and the solution of the differential equation in layered medium is got. The method provides the theoretical basis for simulating grounding grids in transient state.