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            installations that contain high harmonics and that may influence   its  life.  For  higher  unbalances,  a  derating  of  the
            the performance of machines operating on such a system, it is   motor output must be applied according to IEC 60892
            advisable to suppress the harmonics rather than allow a machine   or to Figure  12.1.
            to trip at higher harmonics. Drives generating high harmonics,   A voltage unbalance may affect motor performance
            such as static drives, are provided with harmonic suppressors   in the following ways:
            as normal practice.
                                                           - It would cause overheating and the effective output
         (v)  Voltage unbalance (negative phase sequence)  This   mav  have  to  be  reduced  to  avoid  this.  See
            causes  negative  sequence components and  results   Figure 12.1.
            in  excessive  heating  of  the  motor  windings.  An   - It would reduce T,,, T,,,  and T, etc. by 0~  Vu2 ( Vu
            unbalanced  voltage  may  occur  due  to  unevenly   = unbalanced  voltagd. An unbalance up to  1%
            distributed single-phase loads.                  will  not  affect  motor  performance below  the
              A voltage unbalance may also be due to unequal   permissible limits. See also MG-1-14.34 and Figure
            phase impedances of the feeding HT line and may   12.2. The  effect  of  unbalance  on  torque  may,
            be a result of unequal spacing between the horizontal   however, be considered insignificant. For example,
            and vertical formation of conductors or asymmetrical   even at an unbalance of 5%, the negative torque
            conductor spacings. These effects cause an unequal   will  be = (0.05)* x T, or 0.25%  of  Tr, which  is
            induced  magnetic  field  and  hence  an  unequal   insignificant.
            impedance of  each  conductor. The implication  of   - Due to smaller output and torque, the slip would
            such a system can be studied by  assuming it to be   rise  and  add  to  the  rotor's  losses  (mainly  iron
            composed of two balanced  systems (Figure 20.1),   losses) (see Figure 12.3). The voltage unbalance
            one positive  and the  other  negative  (the  negative   can be calculated as follows:
            system having the reverse rotating field and tending   Voltage unbalance
            to  rotate the  rotor  in  the  reverse  direction). Each
            field produces a balanced current system, the phasor   Max. voltage variation from
            sum of which will decide the actual current the motor   -   the average voltage   x 100%   (12.1)
                                                           -
            windings will draw. The main effect of  a negative    Average voltage
            sequence current is thus to increase iron losses and   Norr  The negative sequence voltage is caused by an unbalance
            reduce the output of the motor. In such a condition,   in the magnitude of  voltages in the three phases,  rather than in
            as  the  current  drawn  by  the  motor  increases,  the   the phase  angle.
            torque  and  the  power  developed  reduce,  and the
            motor operates at a higher slip. All these losses appear   Example 12.1
            in the rotor circuit as slip losses. The rotor operates
            at a higher slip and becomes relatively more heated   Consider three line voltages 390 V, 400 V and 41 6 V. Then
            than the stator and more vulnerable to damage.   the average voltage  =  390+400+416
              According to IEC 60034- 1, a negative sequence                    3
            component  up  to  1%  of  the  positive  sequence           = 402 V
            component of the system voltage, over a long period   and the  maximum variation from the average voltage
            or  1.5%  for  a  short  period,  not  exceeding  a  few   = 416 - 402,  Le. 14 V
            minutes, and with the voltage of the zero sequence
            component not exceeding 1 %, may be considered a   :.   unbalance  = 14 100 = 3.48%
                                                                          x
            balanced  system.                                          402
              A  motor  is  able to  sustain  a  negative sequence
             voltage up to 2% for short durations, while a sustained
            unbalance may deteriorate its insulation and affect



           1

          to                                             m

         C                                               e                      Negative torque
         .-                                             P  -Tr
         c
         E
         Q O
                          %  Voltage unbalance -
           0.I  I
              0       1      2      3       4      5
                                                        Figure 12.2  Effect of  negative sequence voltage  on motor
         Figure 12.1  Derating in motor output due to voltage unbalance   torque
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