Robust continuous-discrete extended Kalman filter for estimating machine states with model uncertainties

Abstract

Dynamic state estimation for synchronous generators is rapidly gaining importance due to its impact on wide-area control and stability of large scale power grids. However, the underlying uncertainties in the dynamic models of the generators may influence the estimation results. In this paper, a robust extended Kalman filter is developed for estimating machine states in the presence of model uncertainties. The proposed filter is based on minimizing the squared residual norm under the worst possible case, which indicates the uncertainties in the model should be bounded. The proposed algorithm is derived in two steps. First, the nonlinear dynamic equations of the machine model as well as the structured uncertainties are discretized and linearized. Second, by constructing the min-max optimization problem and solving it with considerable algebra, the time- and measurement-update expressions of the Kalman filter can be reformulated with modified parameters. The proposed filter is tested numerically based on a typical machine model and the results are presented.