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         Step no.     Total rotor circuit resistance R   External resistance Re   Resistance between steps
                      R                                 R                     R
         1            R2j  = 0.643                      0.643 - 0.09 = 0.553   0.643 - 0.435 = 0.208
         2            R22  = p. R21  = 0.676 x 0.643 = 0.435   0.435 - 0.09 = 0.345   0.435 - 0.294 = 0.141
         3            R23  = p. R22  = 0.676 x 0.435 = 0.294   0.294 - 0.09 = 0.204   0.294 - 0.199 = 0.095
         4            1324 = /?. R23  = 0.676 x 0.294 = 0.199   0.199 - 0.09 = 0.109   0.199 - 0.135 = 0.064
         5            R25  = p. R24  = 0.676 X  0.199 = 0.135   0.135 - 0.09 = 0.045   0.1 35 - 0.09  = 0.045
         6            R2  = 0.09   = 0.09               0.09  - 0.09 = 0      0.09  - 0   = 0.090
         Total rotor resistance R2, = 0.643 R  per phase. See Figure 5.5


            = 0.643 R                                  the rotor circuit, even when the motor is running at full
                                                       load.  Such  a  practice  will  apparently  add to  the rotor
         and    i.e. p =
             Illlax                                    resistance and increase the full-load operating slip. The
                    = 0.676                            higher slip losses will, however, be shared by the rotor’s
                                                       own resistance and the external resistance, which is now
           The power and schematic diagram for this configuration of   permanently connected in the rotor circuit. The external
         resistance unit is given in Figure 5.6(b).
                                                       resistance  has  to  be  continuously  rated.  One  should,
                                                       however, make sure that this slightly increased slip does
         5.2.3 Number of steps                         not influence the performance of the driven machine or
                                                       cause overheating of the rotor windings.
         Generally, the number of  steps is decided by  the limits
         required in the maximum and minimum torque values. It   5.2.4  Duty cycle and duty rating of
         is  therefore  not  an  arbitrary  figure  as  assumed  in  the   resistance units
         above example. We will, however, conclude in the next
         article, that the lower the limits of T,,,   and Tmin the higher   The resistance units, when used only for starting purpose,
         will be the required number of steps and vice versa.   are in the circuit for only a short time and are thus short-
           The recommended number of steps, i.e. the number of   time rated. However, when they are employed for speed
         accelerating contactors for general-purpose (light-duty)   control, braking  or plugging  operations,  in  addition to
         application, may be chosen as indicated in Table 5.1.   the starting duty, they may bc rated for continuous duty.
           However,  for  specific  load  demands  and  accurate   The resistance units are thus classified according to their
         minimum and maximum torque requirements, the number   duty demand, Le. number of operations per hour (c/h).
         of steps can be calculated on the basis of actual requirement   See Chapter 3 on the duty cycle.
         as  discussed  in  Section  5.2.2.  Sometimes,  for  an   The following  information  is essential to decide the
         economical design of the resistance unit, the number of   duty class of the resistance units:
         steps  can  be  reduced  without jeopardizing  the  basic
         requirement of torque except for slightly higher or lower   1  The duty cycle of the motor
         limits in its values as shown in Figure 5.6(a). Also, as we   i.e. which one out of S-1 to S-10 (Chapter 3)
         approach the rated  speed, the closer become  the  steps   Say, for a duty cycle of
         and the greater the tendency to become infinite. In such   S4 - 40%  - 90 c/h and FI  as 2.5
         a situation it becomes essential to liberalize the torque
         limits to achieve a quicker objective. Moreover, by now   i.e. each cycle of  6o  6o - 40 seconds
                                                                              -
         the motor will have almost run to its full speed and will     ~   90
         pose no problem of a current or torque kick. Sometimes,
         however, when the motor possesses a substantially high   2  The starting current and the peak current during
         pull-out torque than is required by the connected load, a   each cycle
         quick removal of external resistance may cause an abrupt   By referring to NEMA publication ICs 2-213:  with the
         jump  in the  torque  and  may  exert  a jerk on the  load,   above  details,  the  resistance  class  can  be  found.  The
         which may not be desirable. To overcome such a situation   resistance units are designated by class number, current
         and  to  economize  on  the  resistance  design,  a  small   and resistance. NEMA tables ICs 2-213 to ICs 2-213-5
         resistance  is  sometimes left permanently  connected  in   can be referred to for this purpose.

                   Table 5.1  Recommended number of starting steps of a resistance unit to switch a slip-ring motor
                             Motor output in kW for different  starting torques   Standard no. of
                                                                              starting  steps
                   Torque    50% T,         100% T,        > 100% T,
                             kW I20         kW I 10        kWI7               3
                             20 < kW I 200   10 < kW S  100   7 < kW I 70     4
                             kW > 200       kW > 100       kW > 70            6
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