Analysis and Efficient Estimation of Random Wire Bundles Excited by Plane-Wave Fields

Abstract

Abstract-The random wire bundle is an important factor resulting in the randomness of the interferences. This paper studies the effect of random wire positions due to the bundle rotation on the coupling with external fields and presents an efficient method to estimate the averages and standard deviations of the voltages and powers induced on the loads. Three configurations of a four-wire bundle under external fields are investigated by using the Baum-Liu-Tesche equation in the frequency domain and together with the inverse Fourier transform in the time domain, and the results show that the induced voltages and powers change as sine functions when the bundle rotates. The proposed method can estimate the averages and standard deviations of the induced voltages and powers quickly, just by three times repeated analysis, and the results agree well with those obtained statistically.

Efficient Evaluation of Multiconductor Transmission Lines With Random Translation Over Ground Under a Plane Wave

“…Thus S hex is much larger than S hp , especially in the low frequency domain. From (13)- (16) and the definition of S h , S h , S hp , and S hex can be calculated. The sensitivities and their components of the loads Z S1 , Z S2 , Z L1 , and Z L2 at the average height are given in Table II.…”

“…Probabilistic models for fields coupling with transmission line have been proposed in [11], [12]; however, random fields rather than random transmission lines were studied. The Monte Carlo (MC) method and transmission line theory or numerical simulation has been applied to obtain the statistical results of electromagnetic fields coupling with transmission lines [10]- [16]. In these researches, MC method was employed to model random transmission, where the nonuniform transmission lines were approximated by a set of cascaded segments of uniform transmission lines, and then transmission line theory or numerical simulation was employed to calculate the interferences on each sample.…”

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].…”

Higher-Order Statistics for Stochastic Electromagnetic Interactions: Applications to a Thin-Wire Frame

“…In the latter domain, statistical methods are commonly used to describe the field and power distributions in mode-stirred reverberation chambers [7,8]. Thin-wire setups, which are ubiquitous as interconnections in modern-day electronics, are also more and more prone to being analyzed stochastically [9,10]. We have successfully applied this modus operandi to thin-wire problems by evaluating the first four statistical moments of the observable with the aid of quadrature algorithms.…”