A new approach for non-linear equations solution with the possibility of gross error presence

In this paper it is described a geometrical approach to detect, identify, and recover multiple gross errors in power system state estimation. Using the classical WLS estimator the measurement residuals is computed, and then the error is composed. For the detection and identification of the measurements with gross errors the composed measurement error in the normalized for (CME^N) is used, however using the weighting matrix as one per cent of the measurement magnitude, for each measurement. Using this weight is equivalent to make a mapping where all the measurements become of equal magnitude, if they are of correct values. The measurement magnitude corrections otherwise are performed using the composed normalized measurement error (CNE). The Three-bus network is used to simulate the paper proposition for gross error detection, identification and correction efficiency.