Waveform relaxation iteration-based rapid modeling method for electromagnetic pulse response of a time domain multi-conductor transmission line

Abstract

The invention discloses a waveform relaxation iteration-based rapid modeling method for electromagnetic pulse response of a time domain multi-conductor transmission line. According to the method, a time domain calculation model for solving coupling of the electromagnetic pulse to the multi-conductor transmission line based on a waveform relaxation algorithm and analytical iteration is establishedin a time domain; A combined voltage wave equation and a BLT supermatrix equation are used; the mutual coupling influence between the transmission lines is equivalent to virtual excitation sources which are continuously distributed on the transmission lines; An analytical expression of voltage and current responses along a transmission line is deduced and given, large-scale matrix inverse operation is converted into a series of iteration processes, meanwhile, each iteration step can give an analytical solution, time-consuming numerical integration is avoided, and the calculation efficiency isimproved.

Description

technical field [0001] The invention relates to a fast modeling method for electromagnetic pulse response of a multi-conductor transmission line in time domain, in particular to a fast modeling method for electromagnetic pulse response of multi-conductor transmission line in time domain based on waveform relaxation iteration. Background technique [0002] The high-altitude nuclear explosion electromagnetic pulse (HEMP) is generally generated by a nuclear explosion with an explosion height above 30km. The spectrum coverage of the E1 component includes signals in the intermediate frequency, high frequency, very high frequency and even some ultrahigh frequency bands, and has a wide radiation range. The characteristics of high peak field strength and wide frequency spectrum will induce high-amplitude induced voltages and currents on multi-conductor transmission lines, which pose a serious threat to various electronic and electrical equipment and systems composed of a large number...

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Problems solved by technology

However, in actual situations, the termination load of the transmission line usually has time-varying nonlinear characteristics, such as the arrester connected to the power line or the TVS diode in the circuit, etc. For such problems, the frequency domain method cannot be used for modeling, but only It can be solved by establishing a time domain model

However, due to the limitations of numerical dispersion and Courant stability conditions in the traditional FDTD time-domain multi-conductor transmission line model, its size is limited within a certain range when discretizing time and space, and there are a large number of discrete point

When the number of transmission lines is large, the mutual coupling calculation process between the transmission lines will cause a huge consumption of computer resources and significantly reduce the efficiency of the entire calculation.

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