Neural network and perturbation theory hybrid models for eigenvalue prediction

Nuclear Science and Engineering

Volumn 132, Issue 1, 1999, Pages 78-89

  Lysenko, Michael G ^a   Wong, Hing Ip ^a,b   Maldonado, G Ivan ^a  

^a Iowa State University   (United States)

^b EDF R AND D   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTER AIDED SOFTWARE ENGINEERING; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; NEURAL NETWORKS; PERTURBATION TECHNIQUES;

COMPLEX NONLINEAR MAPPINGS; EIGENVALUE PREDICTION; ERROR CONTROLLER; NEUTRON DIFFUSION; PERTURBATION THEORY HYBRID MODELS;

NUCLEAR ENGINEERING;

EID: 0032642181     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE99-A2050     Document Type: Article

References (20)

1. D. J. KROPACZEK and P. J. TURINSKY, "In-Core Nuclear Fuel Management Optimization for Pressurized Water Reactors Utilizing Simulated Annealing," Nucl. Technol., 95, 9 (1991).
2. G. I. MALDONADO and P. J. TURINSKY, "Application of Nonlinear Nodal Diffusion Generalized Perturbation Theory to Nuclear Fuel Reload Optimization," Nucl. Technol., 110, 198 (1995).
3. K. S. SMITH, "Nodal Method Storage Reduction by Non-linear Iteration," Trans. Am. Nucl. Soc., 44, 265 (1983).
4. G. I. MALDONADO, "Non-Linear Nodal Generalized Perturbation Theory Within the Framework of PWR In-Core Nuclear Fuel Management Optimization," PhD Dissertation, North Carolina State University (1993).
5. M. L. WILLIAMS, "Perturbation Theory for Nuclear Reactor Analysis," CRC Handbook of Nuclear Reactor Calculations, Vol. 3, p. 63, Y. RONEN, Ed., CRC Press, Boca Raton, Florida (1986).
6. G. I. MALDONADO, P. J. TURINSKY, D. J. KROPACZEK, and G. T. PARKS, "Employing Nodal Generalized Perturbation Theory for the Minimization of Feed Enrichment During Pressurized Water Reactor In-Core Nuclear Fuel Management Optimization," Nucl. Sci. Eng., 121, 312 (1995).
7. J. S. IMBRIANI, P. J. TURINSKY, and D. J. KROPACZEK, "Generalized Perturbation Theory Error Control Within PWR Core-Loading Pattern Optimization," Trans. Am. Nucl. Soc., 72, 345 (1995).
8. H. G. KIM, S. H. CHANG, and B. H. LEE, "Pressurized Water Reactor Core Parameter Prediction Using an Artificial Neural Network," Nucl. Sci. Eng., 113, 70 (1993).
9. H. G. KIM, S. H. CHANG, and B. H. LEE, "Optimal Fuel Loading Pattern Design Using an Artificial Neural Network and a Fuzzy Rule-Based System," Nucl. Sci. Eng., 115, 152 (1993).
10. S. E. WENDT, G. I. MALDONADO, and E. B. BARTLETT, "Artificial Neural Network Prediction of PWR Critical Boron Concentration," Trans. Am. Nucl. Soc., 72, 149 (1995).
11. M. G. LYSENKO, H. I. WONG, and G. I. MALDONADO, "Predicting Neutron Diffusion Eigenvalues with a Query-Based Adaptive Neural Architecture." IEEE Trans. Neural Networks (accepted for publication).
12. S. HAYKIN, Neural Networks: A Comprehensive Foundation, p. 263, Prentice-Hall, Inc., New Jersey (1994).
13. R. P. LIPPMANN, "An Introduction to Computing with Neural Nets," IEEE ASSP Mag., 16 (Apr. 1987).
14. D. SONTAG, "Feedback Stabilization Using Two-Hidden-Layer Nets," IEEE Trans. Neural Networks, 3, 6 (Nov. 1992).
15. D. ANGLUIN, "Learning Regular Sets from Queries and Counterexamples," Inf. Comput., 75, 87 (1987).
16. D. ANGLUIN, "Queries and Concept Learning," Machine Learning, 2, 319 (1988).
17. D. ANGLUIN, "Learning Read-Once Formulas with Queries," J. Assoc. Comput. Machinery, 40, 1, 185 (1993).
18. H. I. WONG and G. I. MALDONADO, "Adaptive Neural Network Error Control for Generalized Perturbation Theory," Trans. Am. Nucl. Soc., 75, 174 (1996).
19. X. MOUNEY and P. J. TURINSKY, "Evaluation of the Potential to Misdirect a Loading Pattern Optimization Search Due to Core Simulator Errors," Trans. Am. Nucl. Soc., 79, 322 (1998).
20. "SNNS, Stuttgart Neural Network Simulator Version 4.1," Institute for Parallel and Distributed High Performance Systems, University of Stuttgart (1995).