Abstract
The Tone’s and embedded self-shielding methods are based on the equivalence theory. Compared with the traditional equivalence theory, they solve a fixed-source problem for the whole problem domain to consider the shadowing effect in a lattice system rather than use the Dancoff factor. In this paper, we investigate the similarities and differences of these two methods and find the approximation that multi-group absorption cross sections of resonant nuclides are independent of regions is used in Tone’s method and not used in ESSM, which leads to the phenomena that these two methods produce the same numerical results in cases where there is only one resonant region and produce different results in cases where there are several resonant regions. The two methods are applied to the pressurized water reactor analysis and fast spectrum reactor analysis.
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