Invertibility of power systems components based-on nonlinear differential-algebraic-equation subsystems model

Components of power systems are essentially a special class of nonlinear differential-algebraic equations subsystems, whose index is one and interconnection is local measurable. In this paper, the invertibility of power systems components is discussed. Firstly, the definition of invertibility is presented. Secondly, a recursive algorithm is proposed to judge whether the controlled components are invertable. Then a physically feasible right inverse controller is constructed with which the controlled components are made linearization and decoupled. Finally, an excitation controller is designed for one synchronous generator within multi-machine power systems based on the proposed method in this paper.