Approach To Critical - 1/M and Penultimate Method

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SUMMARY

The discussion focuses on the methodologies for determining criticality in nuclear reactors, specifically the penultimate method and the 1/M method. The penultimate method involves adjusting control rod positions and measuring count rates to extrapolate the critical point. The 1/M method is described as a graphical approach where the rod position is plotted against 1/m, with the slope extrapolated to estimate the critical position. This method becomes intuitive with practice, emphasizing the importance of graphical representation in nuclear criticality safety.

PREREQUISITES
  • Understanding of nuclear reactor physics
  • Familiarity with control rod dynamics
  • Knowledge of count rate measurement techniques
  • Basic skills in graphical data analysis
NEXT STEPS
  • Study the principles of nuclear reactor criticality
  • Learn about the penultimate method for criticality determination
  • Explore the graphical representation of the 1/M method
  • Investigate the implications of control rod positioning on reactor safety
USEFUL FOR

Nuclear engineers, reactor operators, and safety analysts involved in criticality safety assessments and reactor operations.

dss91
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Can someone explain to me the basic process involved in an approach to critical with a nuclear reactor. I understand that you basically start with the rods all the way in and bring them out, while taking counts - waiting for them to stabilize. I understand with the penultimate method, you change the control rod position and take count rates, and then take the ratio of the count rates and extrapolate to the x-axis with each measurement in order to determine the critical point, however I'm confused as to how the 1/M method works to find the critical position.

Thanks,
Derek
 
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...however I'm confused as to how the 1/M method works to find the critical position.

I likely don't understand the question:

It's a beautifully simple graphical method.

Plot rod position (or dilution) on Ordinate
1/m on Abscissa

Since multiplication is approaching infinity as you approach criticality,
1/m is approaching zero - but you don't multi-decade log graph paper to see it.

Extrapolate your slope to intersect ordinate and you have an estimate. Closer you get, the better your estimate.

After you do one it's second nature.


Probably i answered the wrong question, though.
 

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