Generated paths of an autocatalytic set of a secondary system of a pressurized water reactor
DOI:
https://doi.org/10.11113/mjfas.v13n2.536Keywords:
Pressurized Water Reactor, autocatalytic set, omega algebra,Abstract
A graph is used to model pairwise relation between objects. In this paper, it is used to model secondary system of pressurized water reactor. The process is presented as a dynamic graph by integrating the concept of Autocatalytic Set (ACS). The graph is then transformed into an omega algebra whereby all the possible paths of the process are determined. Seven variables are identified to represent the nodes with twenty one links to indicate catalytic relations among these nodes. A programming code of C++ is developed for the identification of these 317 links.
References
Ahmet, D. and Hasbi, Y. (2001). Exergy analysis of a pressurized-water reactor nuclear-power plant. Applied Energy. 69(1), 39-57.
Ashaari, A., Tahir, A., Mustaffa, S., and Nazira, O. (2015a). Modeling steam generator system of pressurized water reactor using fuzzy state space. International Journal of Pure and Applied Mathematics. 103(1) 123-132.
Ashaari, A., Tahir, A., Mustaffa, S., Wan Munirah, W. M., and Nazira, O. (2015b). Graph representation for secondary System of pressurized water reactor with autocatalytic set approach. Journal of Mathematics and Statistics. 11(4), 107-112.
Eigen, M. (1971). Selforganization of matter and the evolution of biological macromolecules. Naturwissenchaften. 58(10), 465-523.
Hagen, J. (2015). Industrial catalysis: a practical approach. John Wiley & Sons.
Hordijk, W., Smith, J. I., and Steel, M. (2015). Algorithms for detecting and analysing autocatalytic sets. Algorithms for Molecular Biology, 10(1), 15.
Jain, S. and Krishna, S. (1998). Autocatalytic sets and the growth of complexity in an evolutionary model. Physical Review Letters. 81(25), 5684-5687.
Kauffman, S. A. (1971). Cellular homeostasis, epigenesist and replication in randomly aggregated macromolecular systems. Journal of Cybernetics. 1, 71-96.
Liew, S. Y. (2015). Omega algebra model of clinical waste incineration process. Doctor of Philosophy, Universiti Teknologi Malaysia (UTM), Skudai.
Nelson, W. R. (1982). REACTOR: An expert system for diagnosis and treatment of nuclear reactor accidents. Proceedings of the Second AAAI Conference on Artificial Intelligence (AAAI'82). August 18-20, 1982. Pittsburgh, Pennsylvania: AAAI Press. 296-301.
Rossler, O.E. (1971). A system theoretic model of biogenesis. Z. Naturforschung. 26(8), 741-746.
Tahir, A., Sabariah, B. and Khairil, A. A. (2010). Modeling a clinical incineration process using fuzzy autocatalytic set. Journal of Mathematical Chemistry. 47(4), 1263-1273.
