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I get that the stator is fed 3 phase supply and the rotor is fed a dc supply. And it reaches a stage where the constant flux by dc current in rotor and the rotating magnetic flux by ac current in the stator winding locks up in N-S and S-N form and thus the rotor rotates. BUT in asynchronous motor the rotating magnetic field induces an EMF in the rotor winding which causes a current flow in the rotor thus generating its own magnetic flux according to Lenz's law. And because of the slip the rotor spins.
Now what happens in case of a synchronous motor? How will the rotor deal with the induced EMF created in the rotor by the rotating magnetic field of the stator?

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    \$\begingroup\$ In a synchronous motor there is no relative motion between the rotor and the stator field so there is no induced voltage. \$\endgroup\$
    – vir
    Jun 10, 2021 at 20:18

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The effect of the stator (armature) magnetic flux on the rotor field is called armature reaction. In synchronous machines, the effect is modeled as a slight increase in the synchronous reactance.

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