Distributed Predefined-Time Control for Power System with Time Delay and Input Saturation

This paper proposes a distributed fractional-order predefined-time sliding mode controller (DFOPTSMC) to adjust the external energy storage to improve the transient stability of the power system with time delay and input saturation. The time delay is able to worsen the performance of the power system, and even bring about instability. Based on the Artstein transform theorem, the model of the power system with communication delay is transformed into a model without delay. Meanwhile, the output of the external energy storage should be limited in practical power systems. The saturation compensation system is proposed to remedy the influence of input saturation of the external energy storage. Therefore, a DFOPTSMC considering communication delay and input saturation is proposed to adjust the energy storage device, which has fast response ability and strong regulation capability, to increase transient stability of the power system. The predefined-time stability of the power system under the DFOPTSMC is analyzed through the Lyapunov function. Finally, simulations are taken to verify that the proposed DFOPTSMC is able to raise the transient stability of the power system as well as ensure that the power system returns to stability region under a large delay margin.