Robust Control Of Multi-machine Power System Based On Nonlinear Differential-algebraic Equations System

The research on robust control of power systems has made great progress now.Most of the existing studies only focus on ordinary differential equation systems and treat the controlled object as an isolated system.However,there are mutual constraints and interactions between the controlled object and external systems.System and subject to external interference.At present,research on robust control of nonlinear differential algebraic subsystems in power systems is rare.In view of this,this paper will study the robust control of multi-machine power systems based on the nonlinear differential algebraic subsystem model.The main research contents are as follows:1.The differential equations and algebraic equations of the internal component model of the multi-machine power system are described.The nonlinear differential algebra subsystem model of the synchronous generator set of the multi-machine power system is described.2.Aiming at the SISO nonlinear differential algebra subsystem of synchronous generator set in multi-machine power system,the robust control problem is studied.First,the concept of "uniform relative order" for such systems is proposed,and then this concept is used to convert the nonlinear differential-algebraic subsystem into an ordinary differential system equivalently.On the basis of equivalent systems,the backstepping method is used to design the robust controller of the system.Finally,MATLAB is used for simulation,and the effectiveness of the proposed method is verified.3.Aiming at the MIMO nonlinear differential algebra subsystem of synchronous generator set in multi-machine power system,the robust control problem is studied.First,the concept of "relative order of uniform vectors" for such systems is proposed.Then,for the case where the sum of relative orders of the controlled vectors of the controlled systems is equal,it is proved that there are a differential homeomorphism and state feedback to achieve the equivalent conversion of the system and the input/output solution Coupling.On the basis of equivalent systems,the backstepping method is used to design the robust controller of the system.Finally,MATLAB is used to simulate the integrated control of the excitation valve of the synchronous generator set,and the effectiveness of the proposed method is verified.4.Based on the research content 3,for the general case that the sum of the relative order of the controlled system's uniform vector is less than that of the equivalent system with zero dynamics,further study the MIMO nonlinear differential algebra subsystem Robust control problems.It still proves that there are a differential homeomorphism and state feedback,which can realize the equivalent conversion of the system and the decoupling of input / output.On the basis of equivalent systems,the backstepping method is used to design the robust controller of the system.Finally,MATLAB is used to simulate the integrated control of the excitation valve of the synchronous generator set,and the effectiveness of the proposed method is verified.