复杂导电媒质中电大尺寸导体系统雷电瞬态响应研究

The fast approach, for evaluating the transient response of an electrically large conductor system in the complex conductive medium, is studied. The comprehensive grounding system of high speed railway (CGSHS) in China, where all sub-grounding systems are connected by a common grounding wire, is taken as an example to apply the approach in this project. The transient response of the CGSHS excited by a lightning channel presents a high computational memory and time demanding, because the size of the CGSHS geometry is approximately about several thousand minimal wave lengths of electromagnetic field in lossy ground..It is difficult, from the perspective of numerical computation , to calculate the parameter of the CGSHS system, due to the fact that the formula for expressing the electromagnetic field in the conductive medium are complicated. In order to evaluate the transient response of the CGSHS system, the following topics, the highly oscillatory integral with an infinite upper limit, the approach to solve the coupled transmission line in time domain, and the joint simulation using the information in both frequency and time domain, will be studied. The possible outcome is as follows. First, the theory and the approach, to calculate the oscillatory integral and the coupled transmission line problem, will be established, and the pertinent implementation and the error estimation will be provided with a rigorous mathematical foundation.

本项目以高速铁路综合接地系统为背景，研究导电媒质中电大尺寸导体系统的雷电瞬态电磁响应快速计算方法。高速铁路综合系统中接地网、信号电缆外皮和其它接地装置通过贯通地线相连。以雷电电磁场大地中最小波长为基准，高速铁路综合接地系统构成复杂电大尺寸网络，其雷电瞬态电磁响应的求解是一个具有较高时间和空间复杂度的问题。.本项目以高速铁路综合接地系统为研究对象，对其中涉及的高振荡无穷上限积分矩法、多导体电磁场-传输线耦合系统时空分割时域以及瞬态响应时域-频域联合计算等科学问题开展研究。项目预期成果为：对导电媒质中出现的高振荡无穷上限积分实现快速计算；对多导体场线耦合传输线系统采用时空分割以及时域频域联合实现快速求解。同时，对所研究的方法，本项目将给出误差估计和明确各自适用范围。

本项目以高速铁路综合接地系统为背景，研究导电媒质中电大尺寸导体系统的雷电瞬态电磁响应快速计算方法。高速铁路综合系统中接地网、信号电缆外皮和其它接地装置通过贯通地线相连。以雷电电磁场地中最小波长为基准，高速铁路综合接地系统构成复杂电大尺寸网络，其雷电瞬态电磁响应的求解是一个具有较高时间和空间复杂度的问题。.本项目对高振荡无穷上限积分的矩法、多导体电磁场-传输线耦合系统时空分割时域求解以及瞬态响应时域-频域联合计算等科学问题开展研究。项目预期成果为：对高振荡无穷上限积分实现快速计算；对多导体场线耦合传输线系统采用时空分割以及时域频域联合实现快速求解。本研究还对所研究的快速方法给出误差估计与其各自适用范围。