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          as discussed in Section 7.22 the number of deratings                   0.71,   0.91‘
          for all unfavourable operating conditions are assumed
          to be occurring at the same time. This results  in the
          selection of an oversized machine as all the unfavourable
          conditions may not be occurring simultaneously.
          Wide voltage fluctuations may be prevalent in a rural
          distribution system, particularly in developing countries.
          In such cases it is common practice for users to select
          an  oversized  machine  for their  needs.  Accordingly,
          the motors employed for loads such as pumps, thrashers
          and  winnowers  are  normally  over-rated  and  under-
          utilized. Also the same motor may have to cater for    0.21,
          different types of loads, at different times, and these   by0.21,  i.e. m o r
                                                                   f
                                                                 .
          loads may be much less than the motor rating.   28.6% of  the existing
                                                        system for the same
                                                         I‘R  tosses
          The power factor of a motor decreases sharply at loads                   I,
        lower than  rated  as  discussed  in  Section  1.8. All  the
        above factors, contribute to reducing the overall system   Figure 23.2  Better utilization  of  power  with  improved power
        power factor, which is sometimes seen to reach a low of   factor
        0.6 or even less on an LT distribution network.
          Higher line losses result in higher voltage fluctuations
        due to the greater line drop (IZ). In an HT system, the   As  a  result of  higher  voltage  drops,  the receiving-end
        voltage at the receiving end is not as much affected as in   voltage may sometimes fall below the required limit which
        an LT system due to the lower voltage drop on an HT   in, electric  motors, is -6%  (Section  1.6.2). Motors for
        system  as  a percentage  of  the  system  voltage. An  LT   such locations may be required to be suitable for voltages
        system  experiences  a  much  higher  fluctuation,  as  a   lower than the standard system voltages such as 400 V,
        percentage of the supply voltage, due to excessive voltage   380 V  or even  less,  as  against  the  standard  415 V.  A
        drops. A higher current for a smaller load, due to a low   motor designed especially for a lower voltage than standard
        power  factor,  reduces  the  capacity  of  the  distribution   may  sometimes require a  larger frame size at a higher
        network. In other words, it decreases the generating capacity   cost.
        of the power plant, feeding such a system. For instance,
        for the same power generated or distributed  ‘P’
                                                       23.4  Other benefits of  an improved
         P= &.V.I-cos$
                                                             power factor
        Therefore, for a given load current I,
        P = cos $                                        Reduced kVA demand will result in lower tariffs since
                                                         the electricity companies usually charge users on the
        Thus, at 0.70 p.f., the generating or the distributing capacity   basis of their maximum kVA demand.
        of  the  system, compared  to  a  system having  a p.f.  of   In certain countries the consumer may even be entitled
        0.90,  will  reduce  to  approximately  77.8%,  (0.7/0.9  x   to a rebate for maintaining a high power factor, instead
        100%). In other words, if we consider a distribution p.f.   of paying a higher tariff.
        0.70 to be improved to 0.9, then the useful power can be   Lower kVA demand will reduce the load current (due
        enhanced by                                      to  reduced  Z2R  losses)  and result  in  an  economical
                                                         selection of switchgear components and cables.
         0.90 - 0.70   100%                              Lower voltage drops in the lines and cables and thus
            0.70                                         lesser voltage fluctuations.
        i.e.  28.6%  of  the  existing  system  (see Figure  23.2).   The electricity  companies would  also benefit due to
        For the same generation or distribution current I, at a p.f.   better utilization of their distribution system and make
        cos $,,  utilization of the system will be       more power available to consumers.
        PI = I x cos @I
        whereas at an improved p.f.  cos 4, it will be   23.5  Behaviour of a power capacitor
        P, = I x cos &                                       in operation
          Thus while the Z2R loss will remain the same in both
        cases, at a lower power factor the utilization capacity of   Before  we discuss the  application  of  this device,  it  is
        the  system  will  reduce  in  the  same proportion  as  the   important that we study its behaviour during operation.
                                                       A  capacitor  unit  behaves  like a  short-circuit  on  being
        power factors, i.e.
                                                       energized and retains its charge for a brief  period even
         cos @I                                        when  the source of supply is removed. This behaviour
         cos $2                                        gives rise to the following:
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