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This paper provides a semi-analytical approach for computing the flux linkage of a 2D meshed coil in presence of a non-linear magnetic material. First, a method for flux computation is introduced given the field obtained thanks to a volume integral method. Second, an analytical method for computing the magnetic source field and magnetic vector potential induced by a 2D meshed coil is presented, those quantities being necessary for the flux computation. Comparisons to the finite elements methods are carried out to conclude on the performances of the new method presented.

epj. applied physics/the european physical journal. applied physics

A semi-analytical method to compute the magnetic flux linkage of a 2D meshed coil in presence of magnetic materials − application to electrical motor pre-design