Frequency domain multi-conductor transmission line electromagnetic pulse response rapid modeling method based on waveform relaxation iteration

Abstract

The invention discloses a frequency domain multi-conductor transmission line electromagnetic pulse response rapid modeling method based on waveform relaxation iteration. A frequency domain calculationmodel for solving coupling of the electromagnetic pulse to the multi-conductor transmission line based on a waveform relaxation algorithm and analytical iteration is established in the frequency 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 convertedinto a series of iteration processes, meanwhile, each iteration step can give an analytical solution, time-consuming numerical integration is avoided, and the calculation efficiency is improved.

Description

technical field [0001] The invention relates to a fast modeling method for electromagnetic impulse response of multi-conductor transmission lines in frequency domain, in particular to a fast modeling method for electromagnetic impulse response of multi-conductor transmission lines in frequency 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 ...

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Problems solved by technology

However, traditional multi-conductor transmission line models such as the chain parameter matrix model, due to the large number of decoupling steps involved in the calculation steps, face the problem of low computational efficiency and may even be impossible to calculate when the number of transmission lines is large, while some improvements such as numerical iterative models Although th

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