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                                                            connection (see also Section 4.2.1). Generally, in
                                                            LT motors the stator and in HT motors the rotor
                                                             are more vulnerable to a fast burnout in the event
                                                             of  single phasing.
                                                       2  Delta-connected stators
                                                          (a)  In delta-connected windings, the lone winding X,
                                                             (Figure  12.9) for  motor  loads  50%  and  above
                                                             carries  a  current  higher  than  the rated  full  load
                                                             current and also higher than that of the rotor, and
                                                             becomes  more  vulnerable  to  damage  compared
                                                             to the rotor. This difference is more significant at
                                                             loads closer to the rated load (Figure  12.10).
                                                          (b) A study of Figure  12.10 will  suggest that in the
                                                             event of single phasing, protection should be such
                                                             that it traverses the replica of the heating curve of
           1                                                 phase X  .
                                                          (c)  It also suggests that the heat generated in the rotor
                                                             circuit, due to voltage unbalance or single phasing,
                                                             is less than the maximum stator heat. The factor
                                                             of 6 considered in equation (1 2.6) is adequate to
                                                             take account of it.
                                                          (d) For  loads  of  less  than  50% of  the  rated  motor
                                                             current, this protection is not required as the current
                                                             in phase X  will not exceed  100% of the full load
                                                             current during a single phasing.

                                                       Corollary
                   % Motor current under healthy condition -   Since  an  inter-turn  fault  also  causes  unbalance,  it  is
                                                        protected  automatically  when  a  negative  sequence
                                                       protection is provided depending upon its sensitivity and
         Figure 12.10  Current magnitudes in different phases of a   the setting.
         delta-connected stator winding and rotor during single phasing   3  Rotor circuit
                                                          (a)  In a rotor circuit the rotor current and the heating
                                                             effects, due to  single phasing,  remain  the  same
                                                             for both  star- or delta-connected  stators  due to
         i.e. four times the normal heat of the rotor, and the rotor   the same (2f- S) = 100 Hz rotor currents on a 50
         current = 21,                                       Hz system.
           If  single phasing  occurs  at  50%  of  the  full  load,   (b) A  stator  thermal  withstand  curve  cannot  be
         the rotor  current will  be  100%. See curve 4 of  Figure   considered a true reflection of  the rotor thermal
         12.10.                                              conditions.  In  a  delta-connected  motor  (mostly
                                                             LT motors), the stator would heat-up more rapidly
         Conclusion                                          than the rotor, and normally protection of the stator
                                                             may also be regarded as protection for the rotor.
         1  Star-connected stators                           But This is not so in the following cases:
            (a)  The theoretical heats of the motor as derived earlier   Prolonged starting time
              for  star-connected  stators and rotors  are almost   Stalling or a locked rotor condition
              the  same.  But  even  if  single  phasing  does  nut   Frequent starts, and
               lead  to  a  stalled  or  a  locked  rotor  condition, it   All  HT motors wound in star.
               may cause the motor to operate at a much higher   In all the above conditions, the rotor would heat-
               slip due to a lower torque, T,. The rotor is therefore   up much more rapidly than the  stator due to its
               subjected to a faster temperature rise  compared   low  thermal  time  constant  (r), and  its  smaller
               to the stator due to excessive eddy current losses   volume compared to that of the stator, on the one
               and its smaller volume compared to that of  the   hand, and high-frequency  eddy current losses at
               stator.  In single phasing,  therefore, although the   high  slips, due to  the  skin  effect, on  the  other.
               stator and rotor current curves may appear similar,   True  motor  protection  will  therefore  require
               their relative heats will be substantially different.   separate  protection  of  the  rotor.  Since  it  is  not
               The rotor in such motors is thus more critical and   possible  to  monitor  the  rotor’s  temperature,  its
               must be protected specifically.               protection  is  provided  through  the  stator  only.
            (b) Three-phase LT motors are built in delta connection   Separate  protection  is  therefore  recommended
               except for very small sizes, say, up to 1 or 2 h.p.,   through the stator against these conditions for large
               but  all  HT motors  are  generally  wound  in  star   LT and all HT motors.
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