Abstract
The interaction effect between control rods is an important problem for the reactivity control of a reactor. The approach of second order one-group perturbation theory is shown to be attractive due to its simplicity. Formulas are derived for the fully inserted control rods in a bare reactor. For a single rod we introduce a correction parameter b, which with good approximation is proportional to the strength of the absorber. For two and more rods we introduce an interaction function g(r{sub ij}), which is assumed to depend only on the distance r{sub ij} between the rods. The theoretical expressions are correlated with the results of several experiments in R0, ZEBRA and the Aagesta reactor, as well as with more sophisticated calculations. The approximate formulas are found to give quite good agreement with exact values, but in the case of about 8 or more rods higher-order effects are likely to be important.
Citation Formats
Persson, Rolf.
The Interaction Between Control Rods as Estimated by Second-Order One-Group Perturbation Theory.
Sweden: N. p.,
1966.
Web.
Persson, Rolf.
The Interaction Between Control Rods as Estimated by Second-Order One-Group Perturbation Theory.
Sweden.
Persson, Rolf.
1966.
"The Interaction Between Control Rods as Estimated by Second-Order One-Group Perturbation Theory."
Sweden.
@misc{etde_20949480,
title = {The Interaction Between Control Rods as Estimated by Second-Order One-Group Perturbation Theory}
author = {Persson, Rolf}
abstractNote = {The interaction effect between control rods is an important problem for the reactivity control of a reactor. The approach of second order one-group perturbation theory is shown to be attractive due to its simplicity. Formulas are derived for the fully inserted control rods in a bare reactor. For a single rod we introduce a correction parameter b, which with good approximation is proportional to the strength of the absorber. For two and more rods we introduce an interaction function g(r{sub ij}), which is assumed to depend only on the distance r{sub ij} between the rods. The theoretical expressions are correlated with the results of several experiments in R0, ZEBRA and the Aagesta reactor, as well as with more sophisticated calculations. The approximate formulas are found to give quite good agreement with exact values, but in the case of about 8 or more rods higher-order effects are likely to be important.}
place = {Sweden}
year = {1966}
month = {Oct}
}
title = {The Interaction Between Control Rods as Estimated by Second-Order One-Group Perturbation Theory}
author = {Persson, Rolf}
abstractNote = {The interaction effect between control rods is an important problem for the reactivity control of a reactor. The approach of second order one-group perturbation theory is shown to be attractive due to its simplicity. Formulas are derived for the fully inserted control rods in a bare reactor. For a single rod we introduce a correction parameter b, which with good approximation is proportional to the strength of the absorber. For two and more rods we introduce an interaction function g(r{sub ij}), which is assumed to depend only on the distance r{sub ij} between the rods. The theoretical expressions are correlated with the results of several experiments in R0, ZEBRA and the Aagesta reactor, as well as with more sophisticated calculations. The approximate formulas are found to give quite good agreement with exact values, but in the case of about 8 or more rods higher-order effects are likely to be important.}
place = {Sweden}
year = {1966}
month = {Oct}
}