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Control Rod Programming Part II: Two-Group Theory of General Configuration

Technical Report ·
DOI:https://doi.org/10.2172/4594464· OSTI ID:4594464
 [1]
  1. Alco Products, Inc., Schenectady, NY (United States)
In Part 1 of the present series of reports, an investigation of the possibilities of buckling calculations for partly inserted control rods was made on the one-group neutron diffusion model. The results were highly indicative that extension to the two-group model was possible. The study is continued in this report, in which is given a method for determining buckling (and hence reactivity) of a general array of partly inserted control rods in a cylindrical bare equivalent reactor. At this stage of development of the theory, fuel burnup is not yet specifically included; criticality is provided implicitly by variation of the effective number of neutrons per fission. The buckling is found to be calculable from suitable flux averages over the various regions of the operating core.
Research Organization:
Alco Products, Inc., Schenectady, NY (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA), Nuclear Criticality Safety Program (NCSP); US Atomic Energy Commission (AEC)
NSA Number:
NSA-19-031496
OSTI ID:
4594464
Report Number(s):
AP-Note-399
Country of Publication:
United States
Language:
English