Stability Analysis of Nonlinear Nuclear Reactor Cores Adopting T-S Fuzzy Modeling and Lyapunov Theory

DOI

10.2991/amsm-16.2016.57How to use a DOI?

Keywords

reactor core; T-S modeling; Lyapunov theory; stability analysis

Abstract

This research is to solve the stability analysis issue of nonlinear pressurized water reactor cores. On the basis of modeling a nonlinear pressurized water reactor core using the lumped parameter method, its linearized model is achieved via the small perturbation linearization way. Linearized models of the nonlinear core at six power levels are selected as local models of this core. The T-S fuzzy idea for the core is exploited to construct the T-S fuzzy model of the nonlinear core based on the local models and the triangle membership function, which approximates the nonlinear core model within the entire range of power level. This fuzzy model as a bridge is to cater to the stability analysis of the nonlinear core after defining its stability. One stability theorem is deduced to define the nonlinear core is globally asymptotically stable in the global range of power level. Finally, the simulation work and stability analyses are separately completed. Numerical simulations show that the fuzzy model can substitute the nonlinear core model; stability analyses verify the nonlinear core is globally asymptotically stable in the global range of power level.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Gang Li
AU  - Bin Liang
AU  - Xueqian Wang
AU  - Xiu Li
AU  - Kang Wang
PY  - 2016/05
DA  - 2016/05
TI  - Stability Analysis of Nonlinear Nuclear Reactor Cores Adopting T-S Fuzzy Modeling and Lyapunov Theory
BT  - Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
PB  - Atlantis Press
SP  - 256
EP  - 259
SN  - 2352-538X
UR  - https://doi.org/10.2991/amsm-16.2016.57
DO  - 10.2991/amsm-16.2016.57
ID  - Li2016/05
ER  -