Real Time Dynamic State Estimation for Power System

Abstract

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 systems model using decoupled techniques will be proposed. The estimation technique consists of a state estimator based on the EKF technique as well as local stability analysis. High performances are illustrated through a real time application on 5 buses test system with DSP device (Dspace DS1104).

Real‐time fault‐voltage estimation for nonlinear dynamic power systems

“…The diagram of simulation used for implementation under Simulink of MATLABr and using the toolbox SimPowerSystems with Powereguir is given in [11] with more details. Now, in the first case (case 1), the defect is a solid three-phase fault to ground applied at time 3 s in node 3.…”

“…The existing dynamic models treated in differential-algebraic equation (DAE) systems are simplified by linearization [8] or considered as a reduced swing model [9]. We have shown that we can always rewrite the system with a nonlinear DAE form with explicit ordinary differential equation (ODE) to facilitate its implementation and operation [11]. We have shown that we can always rewrite the system with a nonlinear DAE form with explicit ordinary differential equation (ODE) to facilitate its implementation and operation [11].…”

“…The aim of this paper is to estimate the fault magnitude (relative drop voltage) in an electrical network based on our recent work in [3] and [11]. Effectively, fault-voltage estimation in nonlinear dynamic power systems based on Kalman filter is investigated.…”

Fault Detection Based on Observer for Nonlinear Dynamic Power System

“…The transit power is considered as measurements (we have used the toolbox SimPowerSystems of MATLAB to generate the actual measurements [20]). For the discretizat ion of the model (09), we have used Euler d iscretization with a step size …”

Observer Design for a Class of Nonlinear Discrete Time Systems: Real Time Application to the One-link Flexible Joint Robot

“…As no universal approach exists, state observers, in particular for nonlinear systems, are still a challenging and open problem. Beside the famous extended Kalman filter [14] [4] [5] (and its real time application with DSP device [15]), we distinguish a simple and useful nonlinear state observer based on the solution of a Riccati-like equation and the Lipschitz condition [12] [20] [11].…”