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Page Title: Estimated Critical Positio
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REACTOR OPERATION
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Nuclear Physics and Reactor Theory Volume 2 of 2
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Core  Power  Distribution

REACTOR OPERATION DOE-HDBK-1019/2-93 Reactor Theory (Reactor Operations) Startup When a reactor is started up with unirradiated fuel, or on those occasions when the reactor is restarted following a long shutdown period, the source neutron population will be very low.   In some reactors, the neutron population is frequently low enough that it cannot be detected by the nuclear  instrumentation  during  the  approach  to  criticality.   Installed  neutron  sources,  such  as those  discussed  in  Module  2,  are  frequently  used  to  provide  a  safe,  easily  monitored  reactor startup.    The  neutron  source,  together  with  the  subcritical  multiplication  process,  provides  a sufficiently large neutron population to allow monitoring by the nuclear instruments throughout the startup procedure.   Without the installed source, it may be possible to withdraw the control rods to the point of criticality, and then continue withdrawal without detecting criticality because the reactor goes critical below the indicating range.  Continued withdrawal of control rods at this point  could  cause  reactor  power  to  rise  at  an  uncontrollable  rate  before  neutron  level  first becomes visible on the nuclear instruments. An alternative to using a startup source is to limit the rate of rod withdrawal, or require waiting periods  between rod withdrawal increments.   By waiting  between rod withdrawal increments, the  neutron  population  is  allowed  to  increase  through  subcritical  multiplication.    Subcritical multiplication is the process  where source neutrons  are used to sustain the chain reaction in a reactor   with   a   multiplication   factor   (keff)   of   less   than   one. The   chain   reaction   is   not "self-sustaining,"  but  if  the  neutron  source  is  of  sufficient  magnitude,  it  compensates  for  the neutrons  lost  through  absorption  and  leakage.     This  process  can  result  in  a  constant,  or increasing, neutron population even though keff is less than one. Estimated  Critical  Position In  the  first  chapter  of  this  module,  1/M  plots  were  discussed.    These  plots  were  useful  for monitoring  the  approach  to  criticality  and  predicting  when  criticality  will  occur  based  on indications  received  while  the  startup  is  actually  in  progress.    Before  the  reactor  startup  is initiated,  the  operator  calculates  an  estimate  of  the  amount  of  rod  withdrawal  that  will  be necessary to achieve criticality.  This process provides an added margin of safety because a large discrepancy between actual and estimated critical rod positions would indicate that the core was not performing as  designed.   Depending upon a reactor's  design or age, the buildup of xenon within  the  first  several  hours  following  a  reactor  shutdown  may  introduce  enough  negative reactivity to cause the reactor to remain shutdown even with the control rods fully withdrawn. In this situation it is important to be able to predict whether criticality can be achieved, and if criticality cannot be achieved, the startup should not be attempted. For a given set of conditions (such as time since shutdown, temperature, pressure, fuel burnup, samarium  and  xenon  poisoning)  there  is  only  one  position  of  the  control  rods  (and  boron concentrations for a reactor with chemical shim) that results in criticality, using the normal rod withdrawal sequence.   Identification of these conditions  allows accurate calculation of control rod position at criticality.   The calculation of an estimated  critical  position  (ECP) is  simply a mathematical procedure  that takes  into  account all  of the  changes  in  factors  that  significantly affect reactivity that have occurred between the time of reactor shutdown and the time that the reactor is brought critical again. NP-04 Rev. 0 Page 24

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