Sensitivity analysis of heat transfer coefficient in primary system for LMSR core power control system based on Sobol?s method

Heat transfer coefficient is an important parameter in a nuclear reactor. To study the heat transfer coefficient between molten salt and graphite of reactor core and that between molten salt and coolant of heat exchanger, a state space model for LMSR primary system is established first. Then, based on Internal Model Control Theory, the LMSR core power control system is designed whose control parameters are optimized by the quantum genetic algorithm, and the simulation research of the control system is carried out. Finally, based on Sobol's method, the sensitivity indices on extremum of reactor core relative power deviation to the uncertainties on heat transfer coefficients is evaluated on LMSR core power control system. The results show that the designed QGA-IMC controller has good control performance, and the extremum of reactor core relative power deviation is hypersensitive to the heat transfer coefficient between molten salt and coolant.