Mahalanobis Distance-based Two-stage Robust State Estimation of Power System
Aiming at the fact that non-Gaussian noise will cause great reduction in utility of conventional Gaussian measured noise-based state estimation methods in the practical application of power system,this paper proposes a two-stage robust conventional state estimation method based on Mahalanobis distance under non-Gaussian noise.First based on the Mahalanobis distance calculation,the fixed optimal buffer length of the multi-phasor measurement point is obtained,and a maximum likelihood estimator based on conventional monitoring control and data acquisition system measurement is established,and the results are further combined with the synchronizer measurement point to achieve linear robust estimation in the second stage.Then based on the numerical test of IEEE-39 node system in a variety of cases,proposed method is verified feasible and capable of limiting the influence of bad data and estimated residuals,as the state estimation ability of the proposed method for voltage phase angle and voltage modulus of 39 nodes is about 10 times better than the WLS estimation algorithm,along with an absolute estimation error maintained in a lower range.
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