Analytic Iterative Solution of Electromagnetic Pulse Coupling to Multiconductor Transmission Lines

Abstract

This paper provides an efficient iterative solution in the frequency domain for electromagnetic pulse (EMP) radiated field coupling to multiconductor transmission lines (MTLs) based on distributed analytical representation of the exciting sources and iterative technique originated from waveform relaxation. The method consists of two kinds of iterations, the first is that the incoming EMP wave couples to each conductor while the effects of neighboring conductors were neglected; the second is that each conductor will be not only subject to the illumination of the EMP wave, but also influenced by the virtual sources which are the induced voltages and currents of the neighboring conductors at the previous iteration. The key highlights of the proposed method are that the induced voltage and current at each iteration are considered as the virtual distributed exciting sources for next iteration, and the integrals were solved analytically by the Baum-Liu-Tesche equation, leading to a pretty good efficiency and quick convergence for most real cases. The validation results over a wide range show that the proposed method could efficiently handle EMP coupling to MTLs with a large number of conductors and the accuracy of the solutions is closely related to the number of iterations allowing the flexibility to choose between the accuracy and the time cost.

Gauss–Seidel Iterative Solution of Electromagnetic Pulse Coupling to Three-Conductor Transmission Lines

“…At this iteration, there are no coupling effects from the neighboring lines since the initial states of the lines are zeros, which is the same as in the Jacobi-DAARIT-field method (the expressions in iteration 1 can be seen in [7]). …”

“…As described in [26], the coupling factors (CF, which was defined in [7]) and ratio of the line length over the wavelength (L/λ) are the key influence factors of the convergence in the Jacobi-DARIT-field method. The convergence speed would be low if the value of CF or L/λ is high.…”

“…In 2013, Y.-z. Xie, J. Guo, and F. Canavero proposed the Jacobi-DARIT-field method [7] for the field-wire coupling analysis. Based on the Waveform Relaxation and Transverse Partitioning (WR-TP, [8]- [24]) algorithm, this method adopts an analytical Jacobi iterative way.…”

A New Method to Calculate Induced Current of Thin Wire over Anisotropic Ground under HPM

“…A HPM pulse has a large peak power and strong directionality; it can lead to damage or cause failures in electronic devices. So this problem has a significant threat to an electronic system or equipment and has received increasing attention [1][2][3]. Once the thin wire is used to transmit energy in information telecommunication systems and electrical power systems in a high-power electromagnetic environment, the overcurrent and overvoltage will be formed on the device port through field-line coupling.…”

Analysis of Electromagnetic Field Coupling to Microstrip Line Connected With Nonlinear Components

“…Classical field-to-TL coupling theory has been developed and frequently used to compute the coupling of electromagnetic fields to TLs with linear terminations [3][4][5][6][7][8][9][10][11][12][13][14]. Especially, the radiated interference on printed circuit board (PCB) layout through the fieldto-TL route has become a growing concern in prediction of system reliability [15,16].…”