Computational Results on Quadratic Functional Model for the Tokens of Nuclear Safety

Abstract

In this work, Nuclear Reactor safety was modeled inform of quadratic functional. The nuclear tokens are structured and used as elements of the control matrix operator in our quadratic functional. The numerical results obtained through Conjugate Gradient Method (CGM) algorithm identify the optimal level of safety required for Nuclear Reactor construction at any particular situation.

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J. Omolehin, L. Aminu and K. Rauf, "Computational Results on Quadratic Functional Model for the Tokens of Nuclear Safety," American Journal of Computational Mathematics, Vol. 3 No. 1, 2013, pp. 6-15. doi: 10.4236/ajcm.2013.31002.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Nuclear Energy Agency, “Nuclear Fuel Behaviour in Loss-of-Coolant-Accident (LOCA) Conditions,” 2009, p. 141. http://wwwoecd-nea.org/nsd/reports/2009/nea6846-LOCA.pdf
[2] A. C. Kadak, et al., “A Response to the Environmental and Economic Challenge of Global Warming,” Handbook, Massachusetts Institute of Technology, 1998, pp. 1-6.
[3] Encyclopaedia Britannica, “Windmill Power,” Ultimate Refrence Suite: Chicago Encyclopaedia Britannica, Knoxville, 2010.
[4] Encyclopaedia Britannica, “Hydroelectric Power,” Ultimate Refrence Suite: Chicago Encyclopaedia Britannica, Knoxville, 2010.
[5] C. K. Otto, “Fossil Fuel Power,” University of Tennessee, Ultimate Refrence Suite: Chicago Encyclopaedia Britannica, Knoxville, 2011.
[6] “The Enargy Balance for Chemical Reactors,” 1st Edition, Nob Hill Publishing LLC, Madison, 2011, pp. 1-182. www.che.wisc.edu/home/jbraw/chemreacfun/chb/slides-enbal.pdf
[7] J. O. Omolehin, L. Aminu and K. Rauf, “Control Approach to Nuclear Safety,” Applied Mathematics—Open Special Issues “Optimization”, Scientific Research, 2012. http://www.scirp.org/journal/am
[8] J. O. Omolehin, K. Rauf and D. J. Evans, “Conjugate Gradient Method Approach to Queue Theory,” International Journal of Computer Mathematics, Vol. 82, No. 7, 2005, pp. 829-835. http://www.tandf.co.uk/journals
[9] J. O. Omolehin, “On the Control of Reaction Diffusion Equation,” Ph.D. Thesis, University of Ilorin, Ilorin, 1991.
[10] T. Gland, “Constrained Optimization Using Multiplier Methods with Application to Control Problems,” University of Lund, Lund, Report No. 7603, 1976.
[11] International Atomic Energy Agency, “Structure of Nuclear Power Plant Design Characteristics in the IAEA Power Reactor Information System,” IAEA, Vienna, 2007, pp. 9-17.
[12] S. Frank, “Nuclear Reactors,” Kennesaw State University, Kennesaw, 2009, pp. 1-13. www.chemcases.com/nuclear/nc-10.html
[13] Wikipedia, “Boiling Water Reactor Safety System,” The Free Encyclopedia, 2011, pp. 2-9. en.wikipedia.org/wiki/Boiling-water-reactor-safety-systems
[14] S. Ashok, “Solar Energy,” Department of Engineering, Pennsylvania State University, Ultimate Refrence Suite: Chicago Encyclopaedia Britannica, Knoxville, 2011.
[15] J. S. Walker, “The Three Mile Island: A Nuclear Crises in Historical Perspective,” University of California Press, Berkeley, 2004, pp. 216-265.
[16] “The Chernobyl Facts,” 2011. http://www.chernobyl-interntional.org/documents/chernobylfacts2.pdf
[17] Wikipedia, “Fukushima Daiichi Nuclear Reactor Disaster,” The Free Encyclopedia, 2011, pp. 5-27. en.wikipedia.org/wiki/Fukushima-Daiichi-nuclear-diaster
[18] Wikipedia, “Energy in Japan,” The Free Encyclopedia, 2009, p. 1. en.wikipedia.org/wiki/Electricity-sector-in-Japan
[19] International Atomic Energy Agency, “Mitigation of Hydrogen Hazard in Water Cooled Power Reactors,” IAEA, Vienna, 2001, pp. 3-10. http://www-pub.iaea.org/MTCD/publicatuion/PDF/te-1196-prn.pdf
[20] G. H. Brian, “Energy Equations for Reactors,” Department of Chemical Engineering and Material Science, University of California, Lecture Note, Davis, 2010, pp. 9-13.

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