Page 406 - Power Electronics Handbook
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Electrical machine control   395
                   flux is kept constant by automatic adjustment of the supply voltage. When
                   a  variable-frequency  supply  is  available  for  starting,  synchronous  and
                   reluctance  motors need not run up as induction machines since they can
                   lock onto the stator field at low speeds, and then run up to full speed in
                   synchronism.


                   14.3.4.2 Control
                   The most usual operating mode for synchronous and reluctance motors is
                   when  they  are  rotating  at  the  synchronous  speed  of  the  stator  field.
                   Therefore the speed of  these machines can only be varied by changing the
                   frequency  of  the  stator  supply.  The  same  considerations  apply  to  an
                   induction motor, but due to its construction there are four methods which
                   may be used to control it, as follows.

                   (I) Excitation field strength control
                   Figure 14.46 shows the plot of equation (14. lo), from which it can be noted
                   that at synchronous speed, when S = 0, the torque is zero, and at standstill
                   S = 1, the operating point being located at l/S,.
                     Since S,  is a function of  rotor resistance and reactance, the amount by
                   which the torque-slip  curve extends along the X axis is determined by the
                   rotor construction. If  S,  = 0.2 then at standstill S/S,  = 5 and the starting
                   torque is 0.385 times the maximum value.
                     From equation (14.7),  T, is proportional to ElZ, other parameters being
                   fixed. Therefore, if stator voltage is halved the maximum torque is reduced
                   by  a  factor of  four, although  Figure  14.46 remains unchanged  since it  is
                   normalised to T,.  The starting torque will still be 0.385T,  but since T, is
                   one quarter of its original value the torque is also reduced to a quarter.
                     If  the torque-slip  (not normalised to maximum values) curve is plotted
                   for variable voltage control, the characteristics, derived from Figure 14.46,


                            I                 I    1     1     I          1
                       -
                     1.0

                       -
                     0.8
                  -    -
                     0.6
                   E
                   I-
                   I-   -
                     0.4

                     0.2.


                             I    I     1     I          I           1
                      01     I    2     3     4    5     6     7     8    9     IO
                                                  SlS,
                   Figure 14.46 Normalized torque-slip  curve
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