This research aims to achieve the observability of any electrical network by the
possibility compensation the lost measurements due to a defect, allowing the possibility of
state estimation of the electrical network ,ie, obtaining a single solution
for a state
estimation. This is done by means of the network observability analysing using the
available set of measurements and adding virtual pseudo-measurements if the network is
not observable. this is done using a numerical algorithm that ensures obtaining the
minimum and optimal number of added critical pseudo-measurements so that the result of
state estimation was not adversely affected. The algorithm depends on solving the
equation of the linear state estimation and the analysing to the triangular factors of the gain
matrix and an easy way to arrange the axis of the jacobian matrix ,ie, the measurements
matrix to ensure getting the minimum set of candidate pseudo- measurements to be added
to real measurements, the numerical algorithm was acheived by environment in the
MATLAB and tested to present the results on the network observabilty analysing and
adding the pseudo-measurements algorithm on state estimation .The results of the program
were tested on IEEE-14 network, and they showed that if a number of measurements were
lost, they would be compensated by critical and pseudo-measurements. The results of state
estimation showed small error ratio between estimated values using the real measurements
and the estimated values after added the critical pseudo-measurements.
