Analysis of stochastic resonances in electromagnetic couplings to transmission lines

Sy, Oumar; Beurden, M.C. van; ichielseny, B.L.

doi:10.1109/emczur.2009.4783383

Cited by 6 publications

(4 citation statements)

References 11 publications

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“…Thus, the developed concept, after some generalization, can be taken as an alternative to other methods widely used in electrical engineering when random processes and variability of parameters have to be considered. From many areas, we can at least mention issues of signal integrity and electromagnetic compatibility in mixed electronic systems with transmission lines (Cheldavi, 1998;Sy et al, 2008Sy et al, , 2009Magdowski and Vick, 2012;Manfredi and Canavero, 2013;Manfredi et al, 2014;Larbi et al, 2016;Kouassi et al, 2016;Kasmi et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Confidence intervals for RLCG cell influenced by coloured noise

Kolarova

Brančík

2017

COMPEL

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Purpose The purpose of this paper is to determine confidence intervals for the stochastic solutions in RLCG cells with a potential source influenced by coloured noise. Design/methodology/approach The deterministic model of the basic RLCG cell leads to an ordinary differential equation. In this paper, a stochastic model is formulated and the corresponding stochastic differential equation is analysed using the Itô stochastic calculus. Findings Equations for the first and the second moment of the stochastic solution of the coloured noise-affected RLCG cell are obtained, and the corresponding confidence intervals are determined. The moment equations lead to ordinary differential equations, which are solved numerically by an implicit Euler scheme, which turns out to be very effective. For comparison, the confidence intervals are computed statistically by an implementation of the Euler scheme using stochastic differential equations. Practical implications/implications The theoretical results are illustrated by examples. Numerical simulations in the examples are carried out using Matlab. A possible generalization for transmission line models is indicated. Originality/value The Itô-type stochastic differential equation describing the coloured noise RLCG cell is formulated, and equations for the respective moments are derived. Owing to this original approach, the confidence intervals can be found more effectively by solving a system of ordinary differential equations rather than by using statistical methods.

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Section: Introductionmentioning

confidence: 99%

Confidence intervals for RLCG cell influenced by coloured noise

Kolarova

Brančík

2017

COMPEL

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“…where the integral is approximated by a quadrature rule adapted to the dimension of A [2]. On the other hand, with the representation of Equation (4) the randomness of α will affect V e only via J α , thereby enabling the definition of the mean and the variance of V e in terms of the average and the covariance of J α ,…”

Section: Randomizationmentioning

confidence: 99%

“…The propagation of the randomness can be performed non-intrusively by viewing the deterministic model as a black box, having the scattering device and the incident field as input, and providing the value of observables such as the induced voltage or current at a given port region [1,2]. However, evaluating the effect of a given geometrical randomness on different excitations requires as many statistical studies of the entire configuration, as there are incident fields.…”

Section: Introductionmentioning

confidence: 99%

Semi-intrusive quantification of uncertainties in stochastic electromagnetic interactions: Analysis of a spectral formulation

Beurden

Michielsen

et al. 2009

2009 International Conference on Electromagnetics in Advanced Applications

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“…Therefore, additional studies have been improving the models by means of statistical analysis to better resemble the real environments, and being optimized for performing calculations within a reasonable time [78]. Random field coupling to uniform transmission lines has been studied in e. [87]. All the aforementioned approaches are shown in Table 5.1 with the corresponding case numbering used throughout this chapter.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic fields in reverberant environments

Vogt-Ardatjew¹

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SummaryThe phenomenon of resonating electromagnetic (EM) fields has been commonly and successfully exploited in reverberation chambers (RC) for the purpose of electromagnetic compatibility (EMC) testing, as well as modeling multipath environments. An RC is designed to maximize the amount of reflections while minimizing the losses, thus creating a statistically uniform, isotropic, and randomly polarized field. Due to the desired very high complexity of such a field, its description is best done statistically. Although largely successful, the currently used statistical models allow for a certain degree of freedom, especially with regard to defining the extreme field strengths, which are also the main cause of electromagnetic interference (EMI). Furthermore, some actual multipath, enclosed environments such as airplane fuselages, ships, or even building interiors, can unintentionally possess the ability to create enough strong reflections so that the resulting resonating EM field within them resembles the field inside a dedicated RC. Those reverberant environments (RE) can therefore utilize the methods and techniques similar to the ones used in laboratory conditions. Due to the very high complexity and diversity, resulting in increased difficulty of both numerical or analytical description of the REs, the analysis performed throughout this work is mainly experimental. Such an approach allows to bypass the often unreasonable or too generalized assumptions of the available models while utilizing purely empirical data.The initial step made in this thesis focuses on introducing REs as environments sharing multiple aspects of EM field shaping with RCs. The experimental analysis has been performed on two example REs by means of quality factor (Q-factor), insertion loss (IL), as well as goodness of fit (GOF) tests. The results, although highly variable with frequency, indicate a possible similarity to a referential RC analyzed alongside. Furthermore, due to the difficulty of collecting large amounts of data and parameter isolation in the REs, two dedicated chambers: a classical RC and the vibrating intrinsic reverberation chamber (VIRC), have been analyzed as candidates allowing to simulate an RE in laboratory conditions. By the means of Q-factor, k-factor, GOF, as well as number of samples, related to field repeatability, it has been shown that the VIRC provides substantially better conditions for the given purpose.The search of maximum field strengths in reverberant environments has been performed by exploiting the capability of the VIRC to efficiently generate large amounts of independent samples. Performing 1-hour long measurements in the VIRC allows to obtain the desired results with very high repeatability, while giving space for parameter isolation. The first hypothesis states that the maximum-to-average (max/avg) electric field ratio depends on the losses of the environment. The measurement campaign performed to test it consisted of multiple setups with highly spread Q-factors, additionally creating a link between...

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Analysis of stochastic resonances in electromagnetic couplings to transmission lines

Cited by 6 publications

References 11 publications

Confidence intervals for RLCG cell influenced by coloured noise

Confidence intervals for RLCG cell influenced by coloured noise

Semi-intrusive quantification of uncertainties in stochastic electromagnetic interactions: Analysis of a spectral formulation

Electromagnetic fields in reverberant environments

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