Performance of different vector potential formulations in solving multiply connected 3-D eddy current problems

The Second Order Finite Element Analysis of Eddy Currents Based on the T-Ω Method

“…Figure 3 presents the calculated induced eddy current densities along the lines A 3 -B 3 and A 4 -B 4 . Refer to [24,25] for the definition of those lines. The magnitudes displayed in Figure 3 are invariably the magnitudes of the complex functions, which may be positive or negative, indicating the direction of the currents [25].…”

“…Refer to [24,25] for the definition of those lines. The magnitudes displayed in Figure 3 are invariably the magnitudes of the complex functions, which may be positive or negative, indicating the direction of the currents [25]. Note that the magnitudes of J y along the line A 4 -B 4 drop rapidly because of the skin effect of eddy currents.…”

“…In (25), [χ] is the column vector and [d] is the incidence matrix. Note that the dimension of the column vector [χ], which is the degree of freedom (DOF) of the harmonic field component, is the number of loops, so it is independent of the mesh and orders of the basis functions.…”

Network models of three-dimensional electromagnetic fields

“…The matrix k m d escribes the distribution of the winding in the edge element domain [10]. The product of the transposed matrix k m and the vector e m (from Table IV [4], including analysis of eddy currents in solid conductors with 'holes' [1,5]. After applying EEM to the T formulation, equations representing loop equations of facet network are established.…”

Calculation of inducted currents using edge elements and T–T0 formulation

“…the solid part of a magnetic core, (b) multiply connected regions with thin (filament) conductors, e.g. windings composed of stranded conductors, (c) multiply connected regions with solid conductors [1,5], e.g. a solid core with holes, or windings composed of bars such as in a cage rotor of an induction motor.…”