State estimation and observability analysis based on echelon forms of the linearized measurement models

Abstract

This paper introduces an alternative approach for power system state estimation and observability analysis. The method is based on the analysis of the active and reactive linearized measurement models in the echelon form. This form is a generalization of matrix triangular factorization for the case of rectangular matrices. The proposed approach represents an evolution of the least absolute value state estimation method. The state estimate produced by the proposed method presents some of the basic characteristics of that obtained with the least absolute value estimator but the overall methodology is simpler and more general while unifying measurement noise filtering, bad data detection and identification, and observability analysis under the same algorithmic framework.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>