In the article methods of mathematical modeling are used to study electromagnetic processes in synchronous machines with permanent magnets. A "electric circuit-magnetic field" mathematical model has been developed, in which the rotor rotation is strictly taken into account, and on the example of a frequency-controlled traction synchronous motor with permanent magnets, the time dependences of its currents and electromagnetic moment for various supply voltage are obtained. It is proved that the assumption of sinusoidal currents in
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