Induction coil system for 3D position sensing of an off-centered tilted primary wire
Brandão Faria, J
; Neves, M.
IEEE Sensors Journal Vol. 12, Nº 10, pp. 2923 - 2930, October, 2012.
ISSN (print): 1530-437X
ISSN (online): 1558-1748
Scimago Journal Ranking: 0,66 (in 2012)
Digital Object Identifier: 10.1109/JSEN.2012.2205481
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Abstract
This paper presents an analysis concerning an inductive system comprising four sensing coils wound around a nonmagnetic toroidal core that is traversed by a current-carrying primary wire. The primary wire is a rectilinear conductor arbitrarily positioned, off-centered and tilted. A magnetic vector potential based approach is developed aimed at the determination of closed-form expressions for the induced voltages appearing at the open terminals of the four sensing coils, all of them depending on the 3D position of the primary wire. The inverse problem, that is, the determination of the primary wire position based on the coils induced voltages is also formulated, but only exactly solved for the case of an off-centered wire parallel to the core axis.