In the field of computational electromagnetics, taking into account the motion of the rotor in electrical machines requires special attention. In this work, we propose to compare the solutions obtained by the Harmonic Balance Finite Element Method (HB-FEM) coupled, on the one hand, with the A formulation and, on the other hand, with Ω formulation with those obtained by the reference method namely, the Time Stepping Finite Element Method (TS-FEM). This comparison is carried out in the case of electrical machines while considering the movement of the rotor. To this issue, a permanent magnet machine is considered.