Force on a Coil Moving over a Conducting Surface Including Edge and Channel Effects

Abstract

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Classical analogy for the deflection of flux avalanches by a metallic layer

“…We considered so far the case of an infinitely extended plane. Incorporating the effects of borders is highly non-trivial, as discussed by Davis and co-workers, who considered a monopole moving over a conducting plane of semi-infinite extension [38,39]. The receding image technique cannot be applied in this situation, and no analytic solution is known.…”

“…However, by using conformal mapping techniques, Davis and co-workers managed to obtain an analytic solution in the limit of an infinite electrical conductivity. Since the diffusion velocity w is 1 σ ∼ − , the limit σ → ∞ can also be seen as that of an infinite monopole velocity, with v w 0 ≫ → [38,39]. In such a case, the monopole experiences, in addition to the drag force, a lateral force F lat that pushes it away from the region covered by the perfectly conducting plane.…”

Drag Force of an Eddy Current Damper

“…[8]. Recently, interest has grown in the analysis of third-order loop performance in acquisition [4] and in acceleration-rate (jerk) tracking [5]. In many cases, the loop filters analyzed have been modeled after realizable hardware filters available at the time.…”

“…The exact calculation of the drag force exerted by such dampers in realistic configurations is a difficult problem, generally requiring extensive numerical efforts. An idea of the complexity of these computations can be had by a look at some of the literature on magnetic levitation in high speed transportation [4], [5].…”

General 2-D Transient Eddy Current Force Equations for a Magnetic Source Moving Above a Conductive Plate

“…There are a large number of papers in which the steady-state force equations due to eddy currents in a linear conducting plate have been derived [1][2][3][4][5][6][7][8]. However, very few authors have derived exact analytic equations for transient eddy current forces.…”