A Simplified 2D Equivalent Model for Magnetic Wire Array

Demagnetization factor and corresponding apparent permeability for multi-wire arrays using the 3D finite element method are calculated in this paper. The effect of distance between magnetic wires on the demagnetization factor and apparent magnetic permeability is studied for various values of relative magnetic permeability. The simulations are compared with experimental results on arrays up to 91 wires. A novel simplified equivalent 2D model for wire arrays is presented in this paper, as a fast method for calculations. The simplified axisymmetrical model consists of a set of hollow cylinders with equivalent volume. The results of the proposed simplified 2D model fit very well the full 3D FEM simulations and experimental results. Two different hexagonal and square arrangements for wires are considered both for the simulations and the measurements.