Simple definition of rotor angle in a synchronous machines?
Answer:
I think you may be asking about torque angle.
In a synchronous machine, there are two rotating magnetic fields. The position of the stator field at any given instant in time is determined by the instantanious values of the currents in the stator windings. The magnetic field in the rotor is alligned with the rotor according to the position of the rotor windings. When a torque is applied to or developed by the rotor, the rotor and stator fields must have an angle between them. That angle is called the torque angle.
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