Page 119 - Solutions Manual to accompany Electric Machinery Fundamentals
P. 119

4-26.  Assume that the generator is connected to a 3200-V  infinite bus, and that its field current has  been
                 adjusted so that it is supplying rated power and power factor to the bus.  You may ignore the armature
                 resistance  R A  when answering the following questions.
                     (a)  What would happen to the real and reactive power supplied by this generator if the field flux (and
                     therefore  E A ) is reduced by 5 percent.
                     (b)  Plot the real power supplied by this generator as a function of the flux  as the flux is varied from
                     80% to 100% of the flux at rated conditions.
                     (c)  Plot the reactive power supplied by this generator as a function of the flux  as the flux is varied
                     from 80% to 100% of the flux at rated conditions.
                     (d)  Plot the line current supplied by this generator as a function of the flux  as the flux is varied
                     from 80% to 100% of the flux at rated conditions.

                 SOLUTION
                 (a)  If the field flux is reduced by 5%, nothing would happen to the real power.  The reactive power
                 supplied would decrease as shown below.
                                   V
                                    T




                                                                                            E    E
                                                                                             A2   A1



                      Q     Q                                       I
                Q       1     2                   Q                  A1                   V     jX    I
                 G                                  sys                                          S A
                                                                    I
                                                                     A2     Q   I  sin 
                                                                                 A
                 (b)  If armature resistance is ignored, the power supplied to the bus will not change as flux is varied.
                 Therefore, the plot of real power versus flux is

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