With the increase in the proportion of nuclear power, the load following capacity of nuclear power has increasingly become an important factor affecting the development of a system security economy. Fuzzy control is one of the commonly used intelligent control methods. Recently, online updating and adjustment of parameters become particularly important during global power control. In this paper, an adaptive fuzzy fractional PID controller is applied for load-following control of a nuclear reactor based on the time-space fractional neutron point kinetics model, which can show the dynamic characteristics of the nuclear reactor in a better way than the classical neutron point kinetics model. There has been some research based on the time-space fractional neutron point kinetics model since it was proposed in 2020. However, based on our current research, it did not attract widespread attention in the field of reactor power control. The time-space fractional neutron point kinetics (TSFNPK) model is a novel model considering both time and space memory effects based on a non-Fickian law. The stability of the model is determined by the time-anomalous diffusion coefficient, space-anomalous diffusion coefficient, and relaxation time. The stability analysis is implemented for the application of the TSFNPK model in nuclear power control.
The fuzzy inference system has two inputs and five outputs, so all five parameters of the fractional PID controller can be tuned. Fuzzy control rules of fractional-order λ,μ were tuned according to their impact on control systems and some theoretic experience. To show the ability of the model towards the disturbances and parameter changes, tests are performed. Comparisons of the present adaptive fractional fuzzy fractional PID controller, fractional PID controller, and PID controller have been made, the adaptive fuzzy fractional PID controller shows better performance on load-following control of a nuclear reactor and has good robustness. This paper is an attempt to use a time-space fractional neutron point kinetics model for reactor power control.
 

Nuclear Reactor Power Control,Fuzzy Logic,Fractional PID Controller,Time-Space Fractional Neutron Point Kinetics Model