Nonlinear Control Of Multi-machine Power Systems Based On MIMO Differential-Algebraic Equations Subsystem

The research on nonlinear Differential-Algebraic Equations systems of Multi-machine power systems has made great progress.Most of the existing researches treat the controlled plants as isolated systems,without considering the mutual influences between the controlled plants and the rest of the large-scale systems,However,in the application of Multi-machine power systems,the controlled plants are generally based on the model of nonlinear Differential-Algebraic Equations systems,and exist the case of Multi-input Multi-output nonlinear Differential-Algebraic Equations subsystem.At present,there are few researches on Multi-input Multi-output of Multi-machine power systems.This paper will study the control problem for Multi-input Multi-output nonlinear Differential-Algebraic Equations subsystem of Multi-machine power system components.The main research contents include:1.Modeling the Synchronous Generator Sets and we establish the model of Multi-input Multi-output nonlinear Differential-Algebraic subsystem of Multi-machine power systems based on the existing Single-input Single-output nonlinear Differential-Algebraic Equations subsystem.2.Backstepping stabilization control for Multi-input Multi-output nonlinear Differential Algebraic Equations subsystem of Multi-machine power system components.The concept of vector relative order of power system is put forward at first.If the vector relative order exists and the sum of vector relative order is equal to the differential variables's dimension,the equivalent transformation of the system can be realized by a differential homeomorphism and feedback control.On the basis of the equivalent system,the stabilization controller is designed by the Backstepping method,which makes the whole closed-loop system asymptotically stable.The effectiveness of the method is verified by simulation of the excitation valve control for synchronous generator based on MATLAB.3.Output correction controll for Multi-input Multi-output nonlinear Differential Algebraic Equations subsystem of Multi-machine power system components.For the model whose order sum of vector relative order is less than the differential variables's dimension,it is also equivalently converted to an equivalent system with "zero dynamics" by differential homeomorphism and feedback control.On the basis,the Output correction controller is designed by using the Backstepping method.Finally,the excitation valve controller of this type of synchronous generator set is simulated to verify the effectiveness of the method.