Modeling of 3-D stranded inductors with the magnetic vector potential formulation and spatially dependent turn voltages of reduced support

An alternative method is developed to take three-dimensional stranded inductors into account with the magnetic vector potential magnetodynamic formulation. The definition of the turn voltages as a continuous spatially dependent quantity of reduced support enables us to simplify the turn circuit relations, relating currents and turn voltages. The continuous extension of these relations for all the wire turns then reduces the bandwidth in the system matrix in comparison with the usual method. The voltage of each turn is, moreover, directly known and, hence, does not require a postprocessing.