Computation of the flux linkage of windings from magnetic scalar potential finite element solutions

Windings in finite element models are frequently taken into account as regions with given current density J. The layout of the individual conductors is not considered, the total current (the product of the winding current and the number of turns) is assumed to have a given distribution over the cross section of the winding. This distribution is determined by the arrangement of the conductors and is usually, but not necessarily, uniform. The information about the number of turns is provided by the specification of the winding current I. The aim of this paper is to propose ways to compute the flux linkage in this case (even with nonlinearity taken into account) without having to resort to the magnetic vector potential.