Review on Application of Control Algorithms to Power Regulations of Reactor Cores

¹ National Laboratory for Information Science and Technology, Tsinghua University, 100084 Beijing, China
² Graduate School at Shenzhen, Tsinghua University, 518055 Shenzhen, China
³ Department of Automation, Tsinghua University, 100084 Beijing, China
⁴ Shenzhen Key Lab of Space Robotic Technology and Telescience, 518055 Shenzhen, China
⁵ Shenzhen Engineering Lab of Precision Geometry Measurement Technology, 518055 Shenzhen, China

^a e-Corresponding author: wychug@163.com

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.