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Combined graph of pressurized water reactor with autocatalytic set approach. (English) Zbl 1453.93138

Summary: Pressurized water reactor (PWR) is one of the major systems in nuclear power plant that involved in the generation of electricity. It consists of two major systems namely primary and secondary system. Previously, a graphical representation of the process of operation that occurred in both of the system in the PWR is developed using autocatalytic set (ACS) approach. However, analysis obtained through adjacency matrix of each of the ACS graph is inadequate to explain the dynamical process of the operation that involved in the whole system of PWR. Thus, the aim of this paper is to describe the whole system of the PWR by looking at a combination of the ACS graph for the primary and secondary system. Furthermore, Perron-Frobenius eigenvector of adjacency matrix of the combined ACS graph for the whole system of PWR is investigated to explain the dynamical process of the operation that involved in the system. Finally, analysis of the combined ACS graph reveals that the end product of the process of operation in the PWR is in accordance with the previous study.

MSC:

93C42 Fuzzy control/observation systems
93C95 Application models in control theory
05C90 Applications of graph theory