Page 63 - Industrial Power Engineering and Applications Handbook
P. 63

2/44  Industrial Power Engineering and Applications Handbook
        the short-circuit end rings of a squirrel cage rotor melted, and   300%
        the  molten  metal, through  its centrifugal force,  had hit the
        stator  overhangs, damaging them  through  its  insulation,
        causing an inter-turn fault.
        2.7.2  Heating during a no-load start-up
                                                       200%
        During a no-load  start-up, i.c.  when the motor shaft is
        free, half  the energy drawn from the supply appears as   f
        heat  in  the  rotor  and the  stator  windings.  In  slip-ring
                                                       e
        motors the bulk of the rotor heat is shared by the external   P)
        rcsistance, a feature which makes it a better choice for   co
        frequent starts and stops, and for driving loads that possess   100%
        large inertia. It has been seen that most of the stringent
        load requirements can also be met with high torque squirrel
        cage motors,  manufactured  with  a judicious  design  of
        stator and rotor resistances,  an  efficient means of  heat
        dissipation and a proper choice of  active material. The
        heat generated during a no-load start-up can be expressed   u
        by;                                                                Speed +

              GD;  .N:                                       Figure 2.15  Variation in T, with  Y/A  switching
         H,l  =        w.s                     (2.10)
                 730
        This  expression, except  for the  mechanical  design,  is   with  a  switching  other  than  DOL  (Figure  2.15).  The
         totally independent of the type of start and the electrical   starting  time  rises  disproportionately  and  so  does  the
         design of the motor. Electrically also, this is demonstrated   starting heat. Care should therefore be taken when selecting
         in  the  subsequent  example. The  expression,  however,   a motor for a particular type of switching and magnitude
         does not hold good for an ON-LOAD start. On load, the   of the opposing torque. This is to avert possible damage
         accelerating  torque  diminishes  substantially  with  the   to  the  motor  due  to  prolonged  starting  time,  as  a
         type  of  load  and  the  method  of  start,  as  can  be  seen   consequence of an inadequate accelerating torque.
         from Figure 2.14, and so diminishes the denominator of   Maintaining  a  minimum  accelerating torque  at each
         equation (2.5), raising the time of start.    point,  during  the  pick-up  may  also  not  be  adequate
                                                       sometimes, when the  starting time  exceeds the locked
         Example 2.3                                   rotor or thermal withstand time of the motor, as discussed
         A squirrel cage motor is started through an auto-transformer   below.
         starter with a tapping of 40%. Compare the starting heat with
         a DOL starting when the motor shaft is free.
         With DOL T,  = 100%
                                                       2.8  Thermal withstand time
         With an auto-transformer  T,  = (0.4)' or 16%
                                GD;   N                This is also known as safe stall time or the locked rotor
         :.  Starting time with DOL, t, = -
                                    X-
                                375   T,               withstand capacity of the motor. This is the time during
                                                       which  the  motor can  safely withstand  electromagnetic
                                GDi     N              effects  and  consequent heating  in  a  locked  condition.
         and with auto-transformer, t,,  = - -
                                     x
                                 375   O.16Ta          These are drawn for the cold and hot conditions of the
         Le. 6.25 times of  DOL                        motor in Figure 2.16. Evidently, the motor must come to
                                                       speed  within  this time, irrespective of  type of  load or
         Since the heat during start-up -(/,J2   . f   method of  switching.  In a reduced  voltage  start-up or
         :.  Heat during start on a DOL =(Ist)'  . t,   slip-ring motors  the starting current would be low and
                                                       these  curves  would  signify  that  for  any  reason  if  the
         and on an auto-transformer   = (0.4/,#  . t,~   rotor  becomes  locked  during  start  or  run,  or  takes  a
         or                    ~0.16(/,,)'  x 6.25tS   prolonged time to come up to speed, the protective device
                                                       must operate within the safe stall time. Generally, these
         i.e.                  = (kl)'   '  ts         curves  are  drawn  for the  stator  to  monitor  the  actual
         Thus at no load, irrespective of the motor torque and the type   running condition and not the condition during start-up.
         of switching, the starting heat would remain the same.   The rotor can withstand much higher temperatures during
                                                       a run. With the help of these curves, knowing the starting
         2.7.3  Heating during an on-load start-up     time and the starting current of the motor, one can ascertain
                                                       the number of starts and stops the motor would be capable
         Against an opposing torque, the accelerating torque of   of undertaking. These curves also help in the selection
         the motor, which hitherto had varied in proportion to the   of the protective relays and their setting as discussed in
         type of switching, will now diminish disproportionately   Chapter 12.
   58   59   60   61   62   63   64   65   66   67   68