On the Modeling and State Estimation for Dynamic Power System

This paper investigates a method for the state estimation of nonlinear systems described by a class of differentialalgebraic equation (DAE) models using the extended Kalman filter. The method involves the use of a transformation from a DAE to ordinary differential equation (ODE). A relevant dynamic power system model using decoupled techniques will be proposed. The estimation technique consists of a state estimator based on the EKF technique as well as the local stability analysis. High performances are illustrated through a simulation study applied on IEEE 13 buses test system. Keywords—Power system, Dynamic decoupled model, Extended Kalman Filter, Convergence analysis, Time computing. NOMENCLATURE M Inertia constant of the generator D Damping constant of the generator δ mechanical rotor angle of the rotating machine ω mechanical angular velocity ωs electrical angular velocity PM Mechanical power input Pj, Qj Nodal active and reactive power Pc,d Transit power Ybus Nodal admittance matrix , ij ij G B real and imaginary terms of bus admittance matrix corresponding to ith row and jth column N Total number of system buses ng Number of generator buses nl Number of load buses PGi Electrical power supplied by the generator , i i U θ Phase and voltage at bus i , i i U θ Δ Δ Variation of phase and voltage , r x Resistance and inductive reactance of line