Multi-Index Nonlinear Control For Differential Algebraic Model In Power System

With the rapid development of power industry, the power system, which is a nonlinear differential algebraic equation (NDAE) system with numerous dimensions, gradually will be characteristic as large generator units, ultra-high voltage and smart. And the challenge is formed in the security and stabilization of power system. In order to ensure both available transfer capability (ATC) enhancement and stability margin of power system, the research of coordinated controller, which is based on advance control theory, is of importance in the field of power system.It’s difficult to traditional nonlinear control design for DAE model of power system, which is high in nonlinear degree, complex in the topology of the network structure, and changing operated states continually. Differential geometry theory cann’t be applied to the models, which is including implicit functions. This method cann’t coordinate both the dynamic state performance and the steady state performance. In addition, how to configure parameters for a certain scheme is of importance in control field.To solve those series of problems, the design method of multi-index nonlinear control (DASMINC) is proposed for differential algebraic equation (DAE) model to power system. And based on Hartman-Grobman theorem, parameters in DASMINC scheme are configured. By means of DASMINC, this paper, totally consisting of six chapters, referred to single input single output (SISO) system, multiple input multiple output (MIMO) system, generator exciter, coordinated controller to excitation with Advanced Static Var Generator (ASVG), et al. All the main content of this paper are sum up as follows.1) DASMINC design method is proposed for DAE model, which is SISO system. Chapter2.5has deduced the relationship among c1, c2, k and characteristic roots s of linear approximate system to DAE model. Thus, c1, c2and k are configured. DASMINC design method is proposed for DAE model, which is MIMO system. And the principle of the control scheme is discussed.2) The excitation controller of DASMINC, which effectively coordinated dynamic-steady performance, is designed in DAE model to Single machine infinite bus power system (SMIB). And deducing the relationship among active power Pe, generator terminal voltage Ug and angle δ in linearization method, the result why Ug occurred deviation under disturbance of Pm is given.3)2orders mathematical model of ASVG is built by d-q rotary coordinates, simplifying into1order linear’s. Neglecting generator excitatition,3orders NDAE model of ASVG is deduced. Then, the DASMINC controller is designed for this model.4) Considering salient pole synchronous generator,5orders NDAE model for ASVG and generator excitation is deduced. Then, based on this model, the coordinated controller of DASMINC is designed.