Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Shape Optimization of LMR Fuel Assembly Using Radial Basis Neural Network Technique

신경회로망 기법을 사용한 액체금속원자로 봉다발의 형상최적화

  • Published : 2007.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this work, shape optimization of a wire-wrapped fuel assembly in a liquid metal reactor has been carried out by combining a three-dimensional Reynolds-averaged Navier-Stokes analysis with the radial basis neural network method, a well known surrogate modeling technique for optimization. Sequential Quadratic Programming is used to search the optimal point from the constructed surrogate. Two geometric design variables are selected for the optimization and design space is sampled using Latin Hypercube Sampling. The optimization problem has been defined as a maximization of the objective function, which is as a linear combination of heat transfer and friction loss related terms with a weighing factor. The objective function value is more sensitive to the ratio of the wire spacer diameter to the fuel rod diameter than to the ratio of the wire wrap pitch to the fuel rod diameter. The optimal values of the design variables are obtained by varying the weighting factor.

Keywords

References

  1. Fontana, M.H., 1973, 'Temperature Distribution in the Duct Wall and at the exit of a 19-rod Simulated LMFBR Fuel Assembly (FFM-2A),' ORNL-4852, Oak Ridge National Laboratory
  2. Engel, F.C., Minushkin, B., Atkins, R.J. and Markley, R.A., 1980, 'Characterization of Heat Transfer and Temperature Distribution in an Electrically Heated Model of an LMFBR Blanket Assembly,' Nucl. Eng. Des. 62, 335-347 https://doi.org/10.1016/0029-5493(80)90037-0
  3. Roidt, R.M., Carelli, M.D. and Markley, R.A., 1980, 'Experimental Investigations of the Hydraulic Field in Wire-Wrapped LMFBR Core Assemblies,' Nucl. Eng. Des. 62, 295-321 https://doi.org/10.1016/0029-5493(80)90035-7
  4. Fernandez, E. F. and Carajilescov, P., 2000, 'Static Pressure and Wall Shear Stress Distributions in Air Flow in a Seven Wire-Wrapped Rod Bundle,' Journal of the Brazilian Society of Mechanical Sciences, 22, doi: 10.1590/S0100-73862000000200012
  5. Chun, M.H. and Seo, K.W., 2001, 'An Experimental Study and Assessment of Existing Friction Factor Correlations For Wire-Wrapped Fuel Assemblies,' Annals of Nuclear Energy, 28, 1683-1695 https://doi.org/10.1016/S0306-4549(01)00023-8
  6. Choi, S.K., Choi, K., Nam, H.Y., Choi, J.H. and Choi, H.K., 2003, 'Measurement of Pressure Drop in a Full-Scale Fuel Assembly of a Liquid Metal Reactor,' Journal of Pressure Vessel Technology. 125, 233-238 https://doi.org/10.1115/1.1565076
  7. Macdougall, J.D. and Lillington, J.N., 1984, 'The SABRE Code for Fuel Rod Cluster Thermohydraulics,' Nucl. Eng. Des. 82, 91-407 https://doi.org/10.1016/0029-5493(84)90210-3
  8. Yang, W. S., 1997, An LMR Core Thermal-Hydr aulics Code Based on the ENERGY Model. J. of Korean Nuclear Society. 29, 406
  9. Kim, W.S., Kim, Y.G. and Kim, Y.J., 2002, 'A Subchannels Analysis Code MATRA-LMR for Wire Wrapped LMR Subassembly,' Annals of Nuclear Energy. 29, 303-321 https://doi.org/10.1016/S0306-4549(01)00041-X
  10. Khan, E.U., Rohsenw, W.M., Sonin, A.A. and Todreas, N.E., 1975, 'A Porous Body Model for Predicting Temperature Distribution in Wire-Wrapped Fuel rod Assemblies,' Nucl. Eng. Des. 35, 1-12 https://doi.org/10.1016/0029-5493(75)90076-X
  11. Ahmad, I. and Kim, K.Y., 2006, Flow and Convective Heat Transfer Analysis Using RANS for a Wire-Wrapped Fuel Assembly, Journal of Mechanical Science and Technology. 20, 1514-1524 https://doi.org/10.1007/BF02915974
  12. Kim, K.Y. and Seo, J.W., 2005, 'Numerical Optimization for The Design of A Spacer Grid with Mixing Vane in A Pressurized Water Reactor Fuel Assembly,' Nuclear Technology, 149, 62-70 https://doi.org/10.13182/NT05-A3579
  13. Papila, N., Shyy, W., Griffin ,L. W. and Dorney, D. J., 'Shape Optimization of Supersonic Turbines Using Responses Surface and Neural Network Methods,' Journal of Propulsion and Power, Vol. 18, No. 3, 2002, pp. 509-518 https://doi.org/10.2514/2.5991
  14. Vaidyanathan, R., Papila, N., Shyy, W., Tucker, K. P., Griffin, L. W., Haftka, R. T. and Fitz-Coy, N., 'Neural Network and Response Surface Methodology for Rocket Engine Component Optimization,' 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Paper No. 2000-4480, Long Beach, CA,2000
  15. McKay, M.D., Beckman, R.J. and Conover, W.J., 1979, 'A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code,' Technometrics. 21, 239-245 https://doi.org/10.2307/1268522
  16. CFX-5.7 Solver Theory, 2004. Ansys Inc
  17. Menter, F.R., 1994, 'Two-equation Eddy-Viscosity Turbulence Models for Engineering Applications,' AIAA J. 32, 1598-1605 https://doi.org/10.2514/3.12149
  18. Bardina, J.E., Huang, P.G.. and Coakley, T., 1997, 'Turbulence Modeling Validation,' AIAA Paper 97-2121
  19. Incropera, F.P. and Dewitt, D.P., 2002, 'Heat and Mass Transfer (Fifth Edition),' John Wiley and Sons, Inc., p. 493
  20. Incropera, F.P. and Dewitt, D.P., 2002, 'Heat and Mass Transfer (Fifth Edition),' John Wiley and Sons, Inc., p. 493
  21. MATLAB${\circledR}$, The Language of Technical Computing, Release 14. The MathWorks Inc
  22. Fernandez, E. F. and Carajilescov, P., 1999, 'Model for Subchannel Friction Factors and Flow Redistribution in Wire-Wrapped Rod Bundles,' Journal of the Brazilian Society of Mechanical Sciences, 21, doi: 10.1590/S01 00-73861999000400003

Cited by

  1. Optimal contact design and allowable limit on spindle assembly of aluminum hot rolling process vol.22, pp.2, 2008, https://doi.org/10.1007/s12206-007-1111-9
  2. Shape Optimization of 19-Pin Wire-Wrapped Fuel Assembly of LMR Using Multiobjective Evolutionary Algorithm vol.161, pp.2, 2009, https://doi.org/10.13182/NSE161-245