Page 379 - Power Electronics Handbook
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d.c. !r%3                                              LL  369
                                                             Electrical machine control





                                                        d,c,
                                                                              .-
                                                         (d) d.c. supply 33
                   Armature 71 ($ 1:;   supply   a     supply         Series field
                                                                         L
                                                                         a
                      (a)
                                                        (b)




                    supply                   Field supply
                                                                     .c
                                                                     m
                   (C)
                   Figure 14.18 Armature and field arrangements in a d.c. machine: (a) series excitation; (b)
                   shunt excitation; (c) separate excitation; (d) compound excitation



                   armature (R,)  and field (Rf) resistances, depending on the type of  motor
                   connection used.
                     E  =  V - I,R                                            (14.1)

                                                                              (14.2)

                     T  = Kt@I,                                               (14.3)
                     @  = Kf1f                                                (14.4)
                     The performance  of  the motor can be  readily  derived from  the above
                   equations. For example, equations (14.1) and (14.2) show that the motor
                   speed  is  roughly  proportional  to  supply  voltage  V,  ignoring  secondary
                   effects  due  to  voltage  drop caused  by  armature  current,  provided  that
                   motor flux does not also vary in the same manner with voltage. This can be
                   satisfied with  series and separately excited  machines, but  not with shunt
                   field windings in which the current is determined by the supply voltage and
                   field resistance. Therefore shunt motors cannot be used for speed control
                   using supply-voltage variation.
                     The  methods by  which  a  d.c.  motor  can  be  started, controlled  and
                   stopped  will  now  be  examined  with  reference  to  some  typical  power
                   semiconductor  control  circuits.  These  circuits  are  used  for  illustration
                   purposes only, and any of  the other circuits described in this book may also
                   be used,  provided  that their output corresponds  to that  required by  the
                   motor.

                   14.3.2.1 Starting
                   Equation (14.2) shows that when a motor is starting its back e.m.f.  will be
                   very small at low speeds. Therefore, from equation (14.1), the armature
                   current  will  be  large  since  the  armature resistance  is  small.  The  high
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