Abstract
In this paper, a systematic approach for EMC modelling of hand-assembled, complex cable bundles is presented. The first part of the manuscript focuses on bundles laid out above a ground plane, with layout approximately parallel to the reference ground. In order to generate smooth and physics-based trajectories, polynomial curves are used to represent the conductors in the bundle. A suitable process for the generation of bundle samples is developed, which allows for controlling the degree of randomness and avoiding conductors overlapping. Parametric representation of more general bundle structures with arbitrary orientation is then addressed, and the modeling approach extended to more complex bundle structures, such as bundles involving twisted-wire pairs. To assess the ability of Transmission Line (TL) theory to deal with complex and locally highly non-uniform bundle shapes, a fictitious bundle trajectory shaped as a trefoil knot is introduced. All the generated bundle geometries are used in combination with TL-based EMC models in order to predict the disturbances induced in the bundle terminal units due to crosstalk or coupling with external electromagnetic fields. Prediction accuracy is assessed by comparison versus full-wave electromagnetic simulation of the same bundle structures. Suitable examples are presented to show the high numerical efficiency and good accuracy of the proposed modeling approach, as well as the need for accurate and physics-based representation of the bundle geometry in order to achieve solid EMC prediction in a wide frequency range.
Highlights
A CCURATE prediction of electromagnetic compatibility (EMC) performance of hand-assembled wire bundles is a challenge for EMC engineers
Further investigations are still required to provide an accurate description of the bundle geometry and to develop computationally-effective prediction of the involved EM phenomena, which are crucial steps to provide essential information about the amount of noise induced at the bundle terminal loads
Wire overlapping along the cable length is prevented through an iterative ad-hoc algorithm, which introduces slight perturbations of wire trajectories whenever overlapping is detected
Summary
A CCURATE prediction of electromagnetic compatibility (EMC) performance of hand-assembled wire bundles is a challenge for EMC engineers. For more complex geometries, the strong non-uniformity with respect to ground may compromise the basic assumptions of TL theory, with consequent degradation of TL prediction accuracy To address this issue, the manuscript introduces a 7-wire and a 7-TWP bundles with a knot in the middle, obtained by interconnecting three bundle sections generated by the proposed algorithms, as test cases. With reference to the right-handed orthonormal system, the reference trajectory is expressed as function of the independent variable u, u ∈ [Ulower, Uupper], by the curve Q(u) = [x(u), y(u), z(u)], where x(u), y(u) and z(u) denote the vertical, horizontal, and longitudinal coordinate functions, respectively According to this formalism, a bundle composed of N parallel wires is modelled by invariant κ1,i(u) and κ2,i(u) functions. If an analytical expression of i (u) is required (for instance, if the geometry needs to be imported into an EM solver), this can be obtained afterwards by adopting curve-fitting (e.g. polynomial fitting) techniques
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