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

A multi-conductor transmission line and waveform relaxation technology, which is applied in electrical digital data processing, special data processing applications, complex mathematical operations, etc., can solve problems such as modeling, large computer resource consumption, and reduced computing efficiency

Active Publication Date: 2019-05-21
XI AN JIAOTONG UNIV
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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 conditio

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

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Embodiment Construction

[0078] Below in conjunction with accompanying drawing and embodiment the present invention will be described in further detail:

[0079] consider as figure 1 The shown multi-conductor transmission line structure is composed of N transmission lines. In the figure, the cable spacing is d, the line length is L, the line diameter is r, and the terminal loads at the head and end are Z respectively. 1 and Z L . The ground is a lossy ground, considering its ground impedance, the zero potential reference point is selected as the skin depth below the ground. When the transmission line is excited by the external electromagnetic field, its response voltage and response current are described by the telegraph equation in matrix form. According to the different forms of telegraph equations, there are several different types of telegraph equations, such as Taylor equation and Agrawal equation, among which the Taylor equation is shown in equation (a), and the Agrawal equation is shown in e...

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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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Application Information

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IPC IPC(8): G06F17/14G06F17/50
Inventor 郭俊谢彦召
Owner XI AN JIAOTONG UNIV
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