3-D Integral Approach for Calculating Mutual Interactions Between Polygon-Shaped Massive Coils

The 3-D analytical calculations are proposed using Green's function (integral approach) for determining magnetic flux densities, mutual inductances, or interaction energies and magnetic force components between different polygon-shaped coils with a rectangular cross section. The basic concept is the determination of the cited magnetic quantities from elementary linear conductors with arbitrary orientations in desired planes. The process is described by using the space transformation matrices of the different axes in which the conductors have previously been defined. The developed results are validated by comparison with those issued from 3-D finite-element methods (Flux 3-D Software). The calculated mutual inductances for some applications are also compared with realized experimental measures.