**Subject :**Electrical Machines II (AC Machines)

**Unit :**Induction machines

## Properties of rotating magnetic field

**Speed of rotating magnetic field:**

*Fig: 1*

The speed at which the rotating magnetic field revolves is called the synchronous speed (N_{s}). Referring to Fig. 1, the time instant 4 represents the completion of one-quarter cycle of alternating current Ix from the time instant 1. During this one quarter cycle, the field has rotated through 90°.

At a time instant represented by 13 or one complete cycle of current I_{x} from the origin, the field has completed one revolution. Therefore, for a 2-pole stator winding, the field makes one revolution in one cycle of current. In a 4-pole stator winding, it can be shown that the rotating field makes one revolution in two cycles of current. In general, four P poles, the rotating field makes one revolution in P/2 cycles of current.

Since revolutions per second is equal to the revolutions per minute (Ns) divided by 60 and the number of cycles per second is the frequency f,

The speed of the rotating magnetic field is the same as the speed of the alternator that is supplying power to the motor if the two have the same number of poles. Hence the magnetic flux is said to rotate at synchronous speed.

**Direction of rotating magnetic field:**

The phase sequence of the three-phase voltage applied to the stator winding in Fig. 1 is X-Y-Z. If this sequence is changed to X-Z-Y, it is observed that direction of rotation of the field is reversed i.e., the field rotates counterclockwise rather than clockwise. However, the number of poles and the speed at which the magnetic field rotates remain unchanged.

Thus it is necessary only to change the phase sequence in order to change the direction of rotation of the magnetic field. For a three-phase supply, this can be done by interchanging any two of the three lines. As we shall see, the rotor in a 3-phase induction motor runs in the same direction as the rotating magnetic field. Therefore, the direction of rotation of a 3-phase induction motor can be reversed by interchanging any two of the three motor supply lines.