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Electric Motor Drive Equipment  175

           speed or restart, when power was restored. The hazard depends on
           the inertia and function of the load that the motor was driving.
        2. The motor damages itself from high stator current or negative shaft
           torque when it attempts to recover its speed (particularly under high
           inertia load) after a short-time sag or interruption of line voltage [12.3].

        Phenomena
        In the normal operation of the induction motor, the rotating air-gap
        magnetic field links both the stator windings and the rotor windings
        (squirrel-cage bars). When the stator voltage sags or is interrupted, two
        phenomena occur: the rotor slows down (depending on the load inertia)
        and the air-gap magnetic field declines in amplitude but is supported
        by the rotor currents.
          When the stator voltage is restored, depending upon the outage time,
        the stator-produced magnetic field and the declining rotor air-gap field
        can be out of phase. The result is nearly double the line voltage acting
        on the leakage reactance, resulting in a large transient stator current
        and negative shaft torque. The oscillograms for a 10-hp motor with an
        inertia load of 4.28 per unit (pu) of the rotor inertia and a 7.3 cycle inter-
        ruption are shown in Figure 12.2 [12.3]. The peak current is 1.67 pu of

              800
          Voltage (V)  400 0


             –400
             –800
              300
          Current (A)  –150 0
              150

             –300
             5000
          Torque (in-lb)  –5000 0



           –10000
             2000
          Speed (rpm)  1600
             1800
             1400
             1200
             1000
                    0.00        0.10         0.20        0.30        0.40
                                          Time (s)
        Figure 12.2 Motor voltage, current, shaft torque, shaft speed versus time for 7.3 cycle volt-
        age interruption for a 10-hp motor. [12.3].
        [© 2006, IEEE, reprinted with permission]
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