Malaysian Journal of Mathematical Sciences, December 2019, Vol. 13(S)
Special Issue: Conference on Mathematics, Informatics and Statistics (CMIS2018)
Combined Graph of Pressurized Water Reactor with Autocatalytic Set Approach
Abu Bakar, S. and Harish, N. A.
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
Pressurized Water Reactor (PWR) is one of the major systems in a 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 systems in the PWR is developed using Autocatalytic Set (ACS) approach. However, analysis obtained through the 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 the adjacency matrix of the combined ACS graph for the whole system of PWR is investigated to explain the dynamical process of the operation 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.
Keywords: Fuzzy Autocatalytic Set, Adjacency Matrix, Pressurized Water Reactor, Perron-Frobenius Eigenvector
