Page 528 - Industrial Power Engineering and Applications Handbook
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                                                       And an improved loading  = 49325'  + 4703'
                             m                                            = 10 444 kVA
                             *
                             r
                             ln
                                                       as against  14 346 kVA
                                                                             9325
                                                         and improved p.f.   = -
                                                                            10 444
                                                                          = 0.89 as against 0.65
                                                         It is, however, recommended for better control and machine
                                                       utilization that when the load's demand is for constant-speed
                                                       operation,  this  must be met through separate  synchronous
                                                       motors at unity p.f. and the p.f. must be improved separately
                             m
                            '2                         through synchronous condensers with variable field excitation.
                                                         If the synchronous condensers are employed only to improve
                                                       the system p.f. from 0.65 to, say, 0.9 lagging, then the rating
                                               2       of  the machines can be determined as follows:
                                               k       Total active load = 9325 kW
                                               c9
                                               0
                                               r-
                                               d
                                                                           9325
                                                        :.  kVA at 0.9  p.f.  lagging = -
                                                                            0.9
                                                                         = 10 361 kVA
                                                       And     reactive kVAr = 10 361 sin cos-'  0.9
                                                T 5415
                                                                         = 10 361 x 0.436
                                               2 1      :.  Compensation is required for
                                                kVAr
                                                                         = 451 7 kVAr
                                                                         = 10903-4517
                                                                         = 6386 kVAr
                                                 785
                                                kVAr   Then the  kVA of  the synchronous condensers,  operating at
                                               -A      0.1 p.f. leading and having an efficiency of 98%
         Figure 16.4  Improving system PF with the use of a              -    6386     (Figure  16.5)
         synchronous condenser                                            0.98 sin cos-'0.1
                                                                         -   6386
                                                                          0.98 x 0.995
         Draw the phasor diagram for the actual load also at  12 500
         h.p. at 0.65 p.f.                                              = 6549 Say, 6550 kVA
         ..       Active load = 12 500 x 0.746          The AVR  may be designed  for variable  duty,  for automatic
                                                        control of  the  reactive power, to the  required level through
                          = 9325 kW                     feedback  control  systems.  The  machines  will  now operate
                                                        only  as  synchronous  condensers without  performing  any
                             9325
                    and kVA =   ~                       mechanical duty.
                             0.65
                          = 14 346 kVA
                                                        16.3.4 Field system
         and reactive load, kVAr = 14 346 sin cos-'  0.65
                          = 14 346 x 0.76              Automatic  voltage regulator (AVR)
                          = 10 903 kVAr (lagging)       This device controls the generator and maintains a steady-
                                                        state armature voltage automatically within the predefined
         After  replacing these  large  induction  motors  with  as  many
         oversized synchronous motors, while the active load at 9325   limits. It also serves to control the reactive kVAr loading
         kW remains the same, the reactive load of induction motors   during a parallel operation or when the machine is being
         at 785 kVAr will be eliminated and instead a leading reactive   used  as  a  synchronous  condenser  for  reactive  power
         load  of  5415  kVAr  will  be  added.  The  net  compensation   compensation through a quadrature droop control (QDC)
         therefore will be                              as noted below.
                           = 785 + 5415
                           = 6200 kVAr                  Quadrature droop control (QDC)
         leaving an uncompensated reactive load         This is a scheme introduced in the AVR circuit to adjust
                                                        the reactive power (kVAr) of a machine during a parallel
                           = 10 903 - 6200              operation  or  when  it  is  being  used  as  a  synchronous
                           = 4703 kVAr                  condenser. It prevents a reactive circulating current, I,,
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