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        very high derating and the highly unstable per-formance   Table 1.4  Combined permissible voltage and frequency
        of the motor.                                  variations
          The system  may  be  regarded  as  balanced  when  the
        negative sequence component does not exceed 1% of the
        positive sequence component over a long period, or 1.5%   Voltage   +5% to   -5%  to   +IO%  to   -10%  to
        for short durations of a few minutes and the zero sequence   variation   -3%
        component does not exceed 1% of the positive sequence             :: I  ;i  rz
        component. Refer to Section 12.2(v) for more details on   Frequency   1  1:   -28    -5 %
                                                       variation
        positive, negative and zero sequence corn-ponents.
                                                       According  to IEC 60034- 1
        System harmonics                               Nore  IS 325  specifies  voltage  variation  f 6% and  frequency
        A supply system would normally contain certain harmonic   variation k 3% or any combination of these.
        quantities, as discussed in Section 23.5.2.  The influence
        of such quantities on an induction motor is also discussed   Chapter 7 for special design  considerations  for certain
        in  Chapter  23.  To  maintain  a  near-sinusoidal  voltage   types of load requirements.
        waveform, it is essential that the harmonic voltage factor
        (HVF) of  the  supply  voltage be contained within 0.02   A Effect of  voltage  variation
        for all 1-4 and 3-4 motors, other than design N*  motors
        and within 0.03 for design N  motors, where    Voltage variation may influence the motor's performance
        HVF= V'T c-                            (1.11)   as shown below.
                                                       (i)  Torque
        Here                                           From equation  (1.3), T = ,,e;,  and since the standstill
        uh = per unit summated value of all the harmonic voltages   rotor voltage is a function of  supply voltage V,
            in terms of the rated voltage V,
         n = harmonic order not divisible by  3 (presuming that   :.  T = VI2
            the  star-connected  motors  (normally  HT motors)   During start-up, at lower voltages, the starting torque is
            have only isolated neutrals) in 3-41 motors, i.e. 5, 7,
            11 and 13, etc. Beyond 13, the content of harmonic
            quantity may be too insignificant to be considered.
          For example, for a system having  uh5 = 5%                            Voltage V,
                                      uh7 = 3%
                                      Uhll = 2%  and                (Vr + 3%, f-  2%)
                                      uh13 = 1%
                                                              (V, + 5%, f - 5%)
        Then
                                           112
                     +-
        HVF = (7
                                      13
               0.026

        1.6.2 Voltage and frequency variations
        These have  a  great influence on the performance of  a   Frequency fr 2            1.03
        motor and the driven equipment, as analysed later. The                             -
        motors are, however, designed for a combined variation   Rated
                                                                   ~
        in voltage and frequency according to zone A of Figure   parameter!
        1.6. The  maximum  variation  during  service must  fall
        within this zone. It will permit a variation in these para-   (V, - 3%, f + 2%) -
        meters as indicated in Table 1.4.
          Where,  however,  a  higher  variation  in  voltage  and
        frequency  is  envisaged,  motors  suitable to  fall  within
        zone B in Figure 1.6 can also be manufactured. See also                    t
                                                        (Vr-7%,  f+3%-
        *IEC 60034- 12 has recommended four rotor designs, i.e. N, Hand
        NY, HY, to define starting performance  for DOL and Y/A startings
        respectively. They are along similar lines, ones to those in NEMA
        MG- 1.  They  define minimum  torques, though  the  manufacturer
        can  produce better ones.                          Figure 1.6  Voltage and frequency limits for motors
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