Input-output Finite-time Stability And Control Design For Single Machine Infinite Bus System

China’s power system is instrumental in driving the development of numerous industries and has a significant impact on the daily lives of its citizens.The development of power system stability has been increasingly challenged with the growth of power demand,and the transient stability problem has been threatening the power grid with the development of energy industry.To address the above problems,this paper studies and analyzes the stability of the disturbed single infinite system based on the nonlinear descriptor system model,and designs new control strategies in a targeted manner.In this paper,we study the input-output finite-time stabilization of a single-machine infinite system and the input-output finite-time stabilization control design problem with a saturated controller.In order to design the controller,a nonlinear descriptor system model for a single machine infinite system is first established,followed by the study of input-output finite-time stabilization and control design for nonlinear descriptor systems as well as nonlinear descriptor systems with saturated actuators.On this basis,a controller for input-output finite-time stabilization of the single-machine infinite system is designed to achieve closed-loop system stability.The structure of this paper is as follows.In Chapter 1,the research background and current status of nonlinear descriptor systems are discussed,and the importance of power system stability is analyzed.In Chapter 2,a nonlinear descriptor system model of a single infinite system is developed,which is reshaped for the convenience of the study.The definitions and reasoning related to descriptor systems are given.In Chapter 3,the input-output finite-time stability of a single infinite system under two types of disturbance inputs,L₂ and L_∞,is studied.Firstly,the input-output finite-time stability of nonlinear descriptor systems under two types of disturbance inputs,L₂ and L_∞,and the design method of input-output finite-time calming controller are analyzed,and the sufficient conditions for pulse-free and pulse-energy control are given.Based on this,the input-output finite-time calming controller for a single infinite system under two types of disturbance inputs,L₂ and L_∞,is designed,and the controller’s effectiveness is confirmed through simulation.Lastly,the effectiveness of the controller is verified by applying the control design method to the circuit system.In Chapter 4,the input-output finite-time quelling problem for a single-machine infinite system with saturated actuators is studied.Considering two kinds of disturbance inputs L₂ and L_∞,the design of input-output finite-time ballast controller for saturated nonlinear descriptor systems is first studied,based on which the input-output finite-time ballast controller for a single machine infinite system with L₂ or L_∞disturbance inputs in the actuator saturation case is designed and simulations are given,the effectiveness of the controller is confirmed by the simulation results.The simulation experiments of the circuit system effectively demonstrate the validity of the designed controller.In Chapter 5,Conclusion and Outlook,provides a summary of the paper’s work and presents a direction for future research development.