Space–time kinetics modeling of Advanced Heavy Water Reactor for control studies

作者: SR Shimjith , AP Tiwari , M Naskar , B Bandyopadhyay , None

DOI: 10.1016/J.ANUCENE.2009.12.011

关键词: Control theoryAdvanced heavy-water reactorLinear modelState-space representationSpace timeMathematicsMechanicsTransient responseBasis (linear algebra)Linear systemNuclear reactor

摘要: Abstract The paper presents the mathematical modeling of space–time kinetics phenomena in Advanced Heavy Water Reactor (AHWR), a 920 MW (thermal), vertical pressure tube type thorium based nuclear reactor. physical dimensions and internal feedback effects AHWR are such that it is susceptible to xenon induced spatial oscillations. For study design suitable control strategy, need for model which not very large order arises. In this paper, reactor within framework nodal derived with two group neutron diffusion equation as basis. A linear standard state space form formulated from set equations so obtained. It has been shown comparison system properties could be helpful deciding upon an appropriate nodalization scheme thus obtaining reasonably accurate model. validation, transient response simplified compared those rigorous finite-difference

参考文章(33)
S. Langenbuch, W. Maurer, W. Werner, High-Order Schemes for Neutron Kinetics Calculations, Based on a Local Polynomial Approximation Nuclear Science and Engineering. ,vol. 64, pp. 508- 516 ,(1977) , 10.13182/NSE77-A27386
E. L. Wachspress, R. D. Burgess, S. Baron, MULTICHANNEL FLUX SYNTHESIS Nuclear Science and Engineering. ,vol. 12, pp. 381- 389 ,(1962) , 10.13182/NSE62-A28088
J.M.L. Moreira, A. Belchior, Chebyshev acceleration for lambda mode calculations Transactions of the American Nuclear Society. ,vol. 66, ,(1992)
Masaoki Komata, ON THE DERIVATION OF AVERY'S COUPLED REACTOR KINETICS EQUATIONS. Nuclear Science and Engineering. ,vol. 38, pp. 193- 204 ,(1969) , 10.13182/NSE69-A21154
Kojiro Nishina, Yoshihiro Yamane, Minoru Shinkawa, The Derivation of Neutron Generation Time for Reflected Systems and Its Physical Interpretation Nuclear Science and Engineering. ,vol. 72, pp. 244- 255 ,(1979) , 10.13182/NSE79-A19469
C. M. Kang, K. F. Hansen, Finite Element Methods for Reactor Analysis Nuclear Science and Engineering. ,vol. 51, pp. 456- 495 ,(1973) , 10.13182/NSE73-A23278
Minoru Shinkawa, Yoshihiro Yamane, Kojiro Nishina, Hajime Tamagawa, Theoretical analysis of coupled-core reactors with the method of the moderator region response function Nuclear Science and Engineering. ,vol. 67, pp. 19- 33 ,(1978) , 10.13182/NSE78-A27234
K. O. Ott, D. A. Meneley, ACCURACY OF THE QUASISTATIC TREATMENT OF SPATIAL REACTOR KINETICS. Nuclear Science and Engineering. ,vol. 36, pp. 402- 411 ,(1969) , 10.13182/NSE36-402
Chi-Tsong Chen, Linear System Theory and Design ,(1995)
James J. Duderstadt, Louis J. Hamilton, Nuclear reactor analysis ,(1976)