Page 106 - Industrial Power Engineering and Applications Handbook
P. 106

Starting and control of slip-ring  induction motors  5/87
        Example 5.2                                    speeds) is of little consequence. In such starters, there is
        A 125 kW, 41 5 V, 3@ wound rotor has the following parameters:   no  control  over  the  time  of  start  or  resistance  in  the
           l,  = 230 A                                 circuit  (torque at  different  speeds) during  the  start-up
                                                       period. Liquid rotor starters are one type and are suitable
         sse2 = 500 V                                  only for light duties. For heavy loads, requiring specific
          I,,  = 180 A                                 torque values during pick-up,  specific resistances must
                                                       be  introduced  into the rotor  circuit  at  specific speeds.
         Tpo = 250%                                    The specific resistances  so required can be determined
          R2 = 0.09 ohm (star connected)               as discussed below and manufactured in  the form of  a
                                                       grid. These resistance grids are then controlled through
        The torque and current curves are as shown in Figure 5.4.   contactors and timers. The duration between each step
        Determine the external resistance required to achieve a starting   of the resistance grid is pre-determined, the torque demand
        torque of  200%.                               is already ascertained and the resistance required at each
                                                       step  is  pre-calculated.  The  starter  can  then  be  made
        Solution
        From these  curves,  for  a torque  of  200% the stator current   pushbutton-operated  fully  automatic. With  the  help  of
        should be 250%, Le. 230 x 2.5 A.               pre-set timers at each step, the entire resistance is cut off
         :.  Corresponding  rotor current,             gradually  and  automatically,  maintaining  the  pre-
                                                       determined torque profile.
             180
                x
         I,,,   - 230 x 2.5 A
             230
           = 180 ~2.5                                  5.2.2 Determining external resistance and
                    A
                                                            time of start
        and rotor circuit resistance, with a star-connected  resistance
        unit,                                          Consider Figure 5.5 with six steps (rotor resistance unit
                                                       with five steps) and assume the maximum and minimum
         R2, = &   500                                 torques  as  T,,,   and  Tmin between  each  step,  to  suit  a
                x  180 x  2.5                          particular  load  demand  (Figure  5.6(a)).  Let  the
           = 0.641                                     corresponding rotor currents be I,,,  and Imin. Then by a
                                                       simple hypothesis using equation (I .7).
         :.  External resistance required, Re  = 0.641 - 0.09
                                  = 0.551 R per phase
        Method  of  cutting  off  the  external  resistance
        The  simplest  method  is  performing  it  manually. Once
        the total external resistance is known, the resistance unit
        can be built with a hand-operated mechanism to manually
        cut-off  the external resistance. However, this method is
        suitable  only  for applications  where the  magnitude of
        torque  during  the  pick-up  period  (torque  at  different   lR2
           'r18
                                                                 Rotor -Y



                                                                                       Shorted
                                                                                       during run



         e                                               R2 1
         2
        co                                                                            5-step  external
                                                                                      rotor resistance
         T,-1





                         Speed +                                           Star connected
                                                                             resistance
        Figure  5.4  Speed-torque  and  speed-current  curves  of  a
        125 kW motor                                           Figure 5.5  Five-step rotor resistance
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