Utilizing Helicoidal and Translational Symmetries Together in 2-D Models of Twisted Litz-Wire Strand Bundles

Increasing operating frequencies require even more detailed models of litz-wire windings. In this paper, a helicoidally symmetric model of a twisted strand bundle is studied. The distance at which the produced magnetic field looks translationally symmetric is obtained. A measure for the symmetricity of a field is proposed. This enables the coupling of helicoidally symmetric and translationally symmetric models with good understanding of the introduced approximation error.