“…Few authors have tried to obtain the analytical expression of the UMP for any pole-pair machine, and only a few authors have studied the vibratory characteristics of the rotor system due to the UMP. They are Belmans et al [10], Zhu et al [11], and Fruchtenicht et al [4]. Belmans et al [10] studied the in#uence of the UMP on the radial stability of the shaft in a two-pole machine.…”