Artificial Neural Network Modeling for 2-group Pin-Wise Group Constants
A High-fidelity multi-dimensional analysis is getting more attention because of the accurate prediction of local parameters for core design and safety assessment. For this, there are two possible approaches. One is a direct whole-core transport which is quite promising in terms of accuracy. However, it is very costly in terms of the computing time and memory requirements. Another option is the pin-by-pin core analysis using the diffusion theory. In the pin-by-pin core analysis, the multi-group constants can be produced by using the well-known generalized equivalence theory (GET) and these group constants can be corrected by the super homogenization method (SPH). Moreover, it is clear that both cross sections and discontinuity factors (DFs) must be corrected based on the leakage information in order to obtain an accurate solution for pin-by-pin core analysis. In a recent work by W. Kim and Y. Kim, the albedo-corrected parameterized equivalence constants (APEC) method was proposed, in which fuel assembly two-group XSs are parameterized as a function of an assembly-wise current-to-flux ratio (CFR). In the current work, we have investigated feasibility of APEC-like correction of two-group constants for homogenized pins in PWR cores, which is called APEC for Pin-cell or APECp. Unlike the APEC method, the artificial neural network (ANN) is used for functionalization of pin-wise XSs and DFs in this study. The pin-wise two-group parameters are evaluated using a 2- D method of characteristics (MOC)-based lattice code, DeCART2D.