A mathematical model is established for the rotary motion of a single stator permanent magnet synchronous motor when both current-and voltage-fed. Unperturbed synchronous running is shown to be possible only when there are specific relations satisfied by the electrical and mechanical parameters of the motor. Perturbation methods, confirmed by numerical simulation, show that, when these relations are approximately satisfied, the motor goes into synchronous running over certain ranges of a non-dimensional frequency parameter, both when unloaded and when loaded, but with small superposed oscillations. The effect of applying load torque to the motor is investigated with a view to determining conditions under which maximum torque is attained.
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