How rotational speed affects and current and torque amplitudes in synchronous machines

State of the art. The magnitude of winding EMF in a rotary electric machine depends on the rotational speed, which gives rise to an intuitive assumption that the current and torque amplitudes for an inductive synchronous electric machine (or voltage and torque amplitudes for a capacitive machine) will too. Research methods. This research uses mathematical modeling. Results. The following theorems hold true. Theorem 1. The current amplitude in the inductive load of an inductive synchronous electric machine does not depend on the rotational speed. Theorem 2. The torque amplitude for an inductive synchronous electric machine with an inductive load does not depend on the rotational speed. Theorem 3. The voltage amplitude for the capacitive load of a capacitive synchronous electric machine does not depend on the rotational speed. Theorem 4. The amplitude and torque for a capacitive synchronous electric machine with a capacitive load does not depend on the rotational speed. Conclusions. Contrary to a possible intuitive assumption, the current and torque amplitudes in an inductive synchronous electric machine with an inductive load do not depend on the rotational speed. With another load type, they do. For a capacitive synchronous electric machine with a capacitive load, the voltage and torque amplitude do not depend on the rotational speed.