Analysis of the nuclear reactor core of Chernobyl Power Plant for 5 seconds before explosion with three-dimensional spherical space

Authors

  • Yoshio Matsuki The World Data Center for Geoinformatics and Sustainable Development, NTUU "KPI", Kyiv, Ukraine, Ukraine https://orcid.org/0000-0002-5917-8263
  • Petro I. Bidyuk The Institute for Applied System Analysis NTUU "KPI", Kyiv, Ukraine, Ukraine

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2016.4.09

Keywords:

nuclear power plant, Chornobyl disaster, critical operation mode, regression analysis, void and water environment

Abstract

This research analyzed the water flow and bubble (void) of nuclear reactor core of Chernobyl Power Plant, for 5 seconds before the explosion, using a mathematical model of two-dimensional spherical coordinates. To solve the problem, we considered this phenomenon as an analogy of Newtonian gravity theory, which had been solved in Schwarzchild Solution. As a result, the calculated radius of the spherical space of water and bubble indicated the maximum limit, at which the reactor core lost the control of reactor power. And, then, a regression analysis, with exponential model, confirmed the influence of bubble and water to the reactor’s power.

Author Biographies

Yoshio Matsuki, The World Data Center for Geoinformatics and Sustainable Development, NTUU "KPI", Kyiv, Ukraine

Yoshio Matsuki,

Doctor of Engineering Sci, Head of Laboratory for Econometrics and Forecasting, at the World Data Center for Geoinformatics and Sustainable Development, NTUU "KPI".

Graduated from St. Paul’s University (atom physics) in Tokyo, Japan in 1976, and graduated from the Harvard University in the USA in 1992 (methods of public administration with Econometrics). He got his Doctor of Science (energy science) in 2009 at Kyoto University in Japan.

Current areas of interest: Nuclear Reactor Physics, General Theory of Relativity and Tensor Equations, Applications of Econometrics in Natural Science and in Social Science.

Petro I. Bidyuk, The Institute for Applied System Analysis NTUU "KPI", Kyiv, Ukraine

Petro Bidyuk,

Doctor of Engineering Sci, professor at the Institute for Applied System Analysis NTUU "KPI". Graduated from the Kyiv Polytechnic Institute in 1972.

He got his PhD (Candidate of Sciences) degree in Control Engineering in 1986, and Doctor of Engineering Sci. in 1996.

Current areas of interest: Time Series Analysis, Forecasting and Control, Bayesian Data Analysis, and Decision Support Systems (design and implementation).

References

Matsuki Y. Empirical Analysis of Chernobyl Nuclear Reactor Core for 5 seconds before the Explosion / Y. Matsuki, P.I. Bidyuk // System Research & Information Technology. — 2016. — P. 33–42.

Dirac P.A.M. General Theory of Relativity / P.A.M. Dirac // A Wiley-Interscience Publication. — New York: John Wiley & Sons,1975. — Available at: http://amarketplaceofideas.com/wp-content/uploads/2014/08/P%2520A%2520M%2520Dirac%2520-%2520General%2520Theory%2520Of%2520Relativity1.pdf

Martinez J.M. An Analysis of the Physical Causes of the Chernobyl Accident /Jose M. Aragonez, Emilio Mingues, Jose M. Peri, Guillermo Velarde // Nuclear Technology. — 1990. — Vol. 90. — P. 371–399.

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Published

2016-12-15

Issue

No. 4 (2016)

Section

Decision making and control in economic, technical, ecological and social systems

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