Axis Transformations for Practical Primitive Machines

Transformations from the rotating reference frame of the slip-ring primitive to the quasi-stationary reference frame of the commutator primitive are developed with no limitations on winding MMF harmonics and air gap permeance harmonics other than those set by machine symmetry. The transformations are shown to reduce to Kron´s classical transformation when harnonics of both MMF and permeance higher than the second are neglected.