Magnetic field analysis of three-conductor bundles in flat and triangular configurations with the inclusion of proximity and skin effects

A magnetic field analysis is developed for three cylindrical conductor bundles in triangular and flat configurations. These configurations are compared from the point of view of per unit length series-impedance, conductor surface magnetic induction field, and conductor current distributions. Results, taking proximity and skin effects into account, are obtained from the magnetic vector potential considering on the one hand, the multi-pole method for the dielectric medium and on the other hand, Fourier series and Bessel functions developments inside the conductors. It is shown that the flat configuration is less affected by magnetic field proximity effects.

• The magnetic field is evaluated for three cylindrical conductor bundles. • Proximity and skin effects are considered for triangular and flat configurations. • Results for the series-impedance and the magnetic induction field are presented. • An analytical method is used for the magnetic vector potential. • Flat configurations are less affected by the magnetic field proximity effects.