﻿the 
  Alternate 
  Current 
  Generatoi 
  

  

  67 
  

  

  x 
  = 
  'S.x 
  

  

  2s'm 
  (qcjt—^ 
  

  

  + 
  Cq). 
  

  

  '' 
  ^ 
  = 
  -22+2^^ 
  

  

  sin(i?w^+|"+yp). 
  

  

  g- 
  

  

  1 
  

  

  Xq. 
  

  

  Cq. 
  

  

  p. 
  

  

  ^.p. 
  

  

  Yp. 
  

  

  1 
  

  

  •963 
  

  

  36=^ 
  32' 
  

  

  o 
  

  

  •166 
  

  

  44° 
  18' 
  

  

  3 
  

  

  •453 
  

  

  59 
  50 
  

  

  4 
  

  

  •080 
  

  

  64 
  58 
  

  

  5 
  

  

  •228 
  

  

  74 
  "48 
  

  

  6 
  

  

  •041 
  

  

  78 
  28 
  

  

  7 
  

  

  •117 
  

  

  85 
  37 
  

  

  8 
  

  

  •021 
  

  

  88 
  31 
  

  

  9 
  

  

  •061 
  

  

  94 
  5 
  

  

  10 
  

  

  •Oil 
  

  

  96 
  23 
  

  

  11 
  

  

  •032 
  

  

  100 
  53 
  

  

  12 
  ! 
  

  

  •006 
  

  

  102 
  44 
  

  

  13 
  

  

  •017 
  

  

  106 
  26 
  

  

  14 
  ! 
  

  

  1 
  

  

  •003 
  

  

  107 
  47 
  

  

  The 
  virtual 
  armature 
  current 
  in 
  amperes 
  being 
  equal 
  to 
  

   10 
  '/jScPj 
  is 
  7'75 
  amps., 
  and 
  the 
  terminal 
  virtual 
  voltage 
  

   being 
  4*75 
  times 
  this 
  is 
  36*8 
  volts. 
  The 
  no-load 
  voltage 
  for 
  

   the 
  same 
  exciting 
  current 
  is 
  62' 
  2. 
  

  

  The 
  virtual 
  value 
  of 
  the 
  alternating 
  current 
  induced 
  in 
  

   the 
  field 
  circuit 
  in 
  amperes 
  being 
  equal 
  to 
  10 
  Vi^f^ 
  is 
  1'31. 
  

   The 
  copper 
  losses 
  are 
  : 
  — 
  

  

  In 
  the 
  armature 
  15 
  watts. 
  

  

  In 
  the 
  field 
  due 
  to 
  exciting 
  current.. 
  . 
  12 
  

  

  In 
  the 
  field 
  due 
  to 
  induced 
  current 
  . 
  

  

  5-4 
  

  

  The 
  total 
  iron 
  loss 
  calculated 
  by 
  means 
  of 
  the 
  formula 
  in 
  

   § 
  20 
  is 
  20 
  ^-atts. 
  

  

  The 
  total 
  losses 
  are 
  therefore 
  52 
  '1 
  watts, 
  and 
  as 
  the 
  output 
  

   is 
  285 
  watts 
  the 
  efiSciency 
  is 
  81 
  per 
  cent. 
  

  

  Fig. 
  3. 
  — 
  Theoretical 
  armature 
  current 
  (x), 
  and 
  induced 
  field-current 
  (|), 
  

   in 
  a 
  fully 
  loaded 
  alternator. 
  

  

  

  

  

  

  

  ^ 
  

  

  

  

  

  

  

  

  

  

  

  

  h 
  

  

  \ 
  

  

  

  

  

  

  

  

  

  

  

  ./ 
  

  

  / 
  

  

  

  

  

  

  

  

  

  —^ 
  

  

  ^ 
  

  

  ^5h 
  

  

  r 
  

  

  ^ 
  

  

  \ 
  

  

  \ 
  

  

  

  

  

  ^ 
  

  

  ^ 
  

  

  r~ 
  

  

  

  

  

  

  

  "~^ 
  

  

  

  

  

  

  

  

  

  

  

  

  

  

  - 
  

  

  

  

  ^ 
  

  

  / 
  

  

  

  

  

  

  

  

  

  

  

  

  \ 
  

  

  / 
  

  

  

  

  

  

  

  

  

  

  

  

  ' 
  

  

  J 
  

  

  In 
  fig. 
  3 
  are 
  plotted 
  the 
  wave 
  forms 
  of 
  both 
  the 
  armature 
  

  

  F2 
  

  

  