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Philosophy of quality systems and testing of electrical machines 11/257
         Methods  (2) and  (3) are  suitable  for  machines  having   Power Factor  = -_______ 1
         slip of not  more than  5%.

         Stroboscopic method
         On me end of the motor $haft a single black  radial  line   where
         is  painted  upon  a white  background. The slip is  easily   W, = the higher of the  tu0 reading\ and
         measured  by  counting  the  apparent  backward rotations   W? = the  Iowcr of the two reading\.
         of the black  line over ;I  given period of time.
                                                        If W2 gives a negative reading it should be considered as
         Slip-coil method                               a  minus quantity. From the  above  fomiula.  graphs can
                                                        be plotted for Power  Factor versus ( W2/\V',). W2/WI being
         A  suitable slip-coil. hating approximately  700 turn5 of   the  ratio  of  lower  wattmeter  reading  to  the  higher
         1  mm  diameter  insulated  wire.  is  pasjed  axially  over   wattmeter reading.
         the  motor  and  its  two ends are connected  to a  centre-   If  W, is  negative,  the  ratio  of  ( W2/\Vl)  should  be
         iero  galvanometei-. When  the  motor  is  running,  the   considered as 21  ininus quantity. The falling curves 5hould
         gal\anometer  pointer  will  oscillate.  The  number  of   be  designated  'for  ( W2/WI)' and  the  ri5ing  cur\c$ 'for
         oscillations  should  be  counted  in  one  direction  only,   (+W21WI)'. Similarly,  ordinates  on  the  left-hand  side
         that  is  to  the  left  or to the  right,  for  a  period  of.  say.   should be designated for (-W2/Wl)  and on the right-hand
         20  seconds.                                   side for  (+W2/Wi  ).  See Figure  11 3.
           The following formula will determine the percentage
         dip:                                          ,Vote  If two \~;iltic\ of the Power FactoI dctci-mined h> the \vat[ to
                                                        \olt-ampere  ratio  md two-m attiiietci- tnethod\  do riot  tall)  for  J
                                                        three-phaw niotor. the tc\t may  he repeated  to climinate the error.
                                                        Howevci-. \\ her-e the load i\ fluctuating. ii Poser Factoi- dctcrmined
         where                                         by a two-\battiiieter method \\ill  he hisher h~ti that determined by
                                                        the matt to volt-ampere  ratio method. In thir case.  the higher value
         S = slip (%)                                   \hould be taken a\ the cort-ect reading. The ilill'ercnce I\  due to the
         11  = number of  oscillations                  incluhioii  of  a  pul\attng  coinlwnent  01'  cui-rent  in  volt-;impcrcs.
          t  = time in  seconds taken  for II  oscillations. and   whlch  i\  ;I  function  of  load  rathct-  than  ol  the  riiotor  it\clf.  The
         ,j'=  supply frequency in Hz.                  Power Factor determined h-on1 the ratio of  atLnieter I-cadi ng i\  nut
                                                       atfected by  the presence  ol ii pirlsating curt-ciit.
         Magnetic needle method
                                                       Power Factor meter method
         In  this  inethod  ;I  magnetic needle suspended on a sharp
         point  (so that  it can rotate freely) is placed on the body   In this method. a Power Factor meter is directly connected
         of  the  inotor  in  the  horizontal  plane. The  needle  will   in  the  circuit  and  ii  direct  reading  i.;  obtained  at  any
         oscillate and the number of oscillations should be counted   loading.
         for  ;I  period of, say. 20 seconds. The percentage slip is
         then  calculated by  the formula given above.   11.4.4  Overspeed test

         11.4.3 Power Factor measurement               All  niotors  are  designed  to  withstand  1.2  times  the
                                                        maximum  rated  speed. The  test  is  simple  and  may  be
         The  Power  Factor  indy  be  mea\ured  by  one  ot  the   carried  out  by  running  the  motor  for  2  minutes at  the
         lollowing three method\                        highei-  specd. After  the  test.  the  motor  must  have  no
                                                       deformation or any fault that may prevent it from operating
           Watt to volt-ampere ratio                    normal 1 y.
           Two-wattmeter
           Power Factor meter
                                                        11.4.5  Test for speed-torque  and speed-current
                                                             curves
         Watt to volt-ampere ratio method
                                                        The speed-torque  characteristic is the relationship between
         The Power Factor is obtained by the ratio of the algebraic
         sum of wattmeter readings to volt-ampere readings. For   the  torque  and  the  speed.  in  the  range  from  ~ero to
                                                        synchronous  >peed. This  relationship.  when  expressed
         a three-phase system;                          as a curve. will include breakdown torque (pull-out torque).
                               Watts                    pull-up  torque  and  starting  torque.  The  speed-current
         Power Factor =                                 characteristic  is  the  relationship  of  the  current  to  the
                      \'3 x line volts x line amperes
                                                        speed.
         Two- wattmeter method
                                                       Methods
         On a three-phase motor where the load is pulsating the
         Power Factor may be checked by the following formula.   Speed-torque  and  speed-current  te\t\  may  be  carried
         obtained from independent wattmeter readings:   out by  the following method\
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