Abstract
PurposeThis paper aims to model a three-dimensional twisted geometry of a twisted pair studied in an electrostatic approximation using only two-dimensional (2D) finite elements.Design/methodology/approachThe proposed method is based on the reformulation of the weak formulation of the electrostatics problem to deal with twisted geometries only in 2D.FindingsThe method is based on a change of coordinates and enables a faster computational time as well as a high accuracy.Originality/valueThe effectiveness of the adopted approach is demonstrated by studying different configurations related to the IEC 60851-5 standard defined for the measurement of the electrical properties of the insulation of the winding wires used in electrical machines.
Highlights
IntroductionUsing twisted wires in electrical engineering goes back to the late 19th century, when Bell introduced them to mitigate the crosstalk between the first telephone and a telegraph
Using twisted wires in electrical engineering goes back to the late 19th century, when Bell introduced them to mitigate the crosstalk between the first telephone and a telegraph© Kaoutar Hazim, Guillaume Parent, Stéphane Duchesne, Andre Nicolet and Christophe Geuzaine.Published by Emerald Publishing Limited
Impact of the twisted geometry on the computed values To emphasize the importance of using the proposed 2D twisted model instead of simplifying the study to a 2D straight model, we study the influence of the geometrical parameters Nturns, d and, ‘i over the computed charges Q2Da and Q2D0
Summary
Using twisted wires in electrical engineering goes back to the late 19th century, when Bell introduced them to mitigate the crosstalk between the first telephone and a telegraph. In this paper, following the approach originally derived in Nicolet et al (2006, 2007a), we propose to reformulate the 3D problem in helicoidal instead of Cartesian coordinates (Waldron, 1958), leading to a 2D formulation with an adapted metric, easy to implement in existing 2D finite element codes. After describing the geometrical configuration of twisted pairs, the 3D electrostatic problem is reformulated in helicoidal coordinates, leading to a 2D finite element formulation with an adapted metric – the “2D twisted” model. This 2D twisted model is verified against the full 3D model in Section 4 by computing the conductor charges in function of the number of turns in a twisted pair of enameled wires.
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