Modeling of 3D Stranded Inductors with the Magnetic Vector Potential Formulation and Spatially Dependent Turn Voltages of Reduced Support

摘要

A method is developed to efficiently take 3D stranded inductors into account with the magnetic vector potential magnetodynamic formulation. The definition of the tarn voltages as a continuous spatially dependent quantity of reduced support enables to simplify the torn 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 tarn is moreover directly known and, hence, does not require a tedious post-processing.