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A novel technique of state estimation for well-conditioned and ill-conditioned systems using constant observation matrix

The new possibilities, associated with open access and the operation of the transmission network under energy market rules keeping reliability as a central issue, pilot to the need of new models for state estimation (SE) of power systems. This paper proposes one new scheme of SE which is based on current measurements using a linear measurement model with a constant observation matrix comprising of line admittances. The proposed scheme decreases the computational time by avoiding the computation of Jacobian matrix during the iterations. There is also novel introduction of on-line computation of measurement error covariance matrix for bus current and line current measurements separately, which limits the effect of noise present in the measurements. In addition to these, another advantage of the proposed scheme over the traditional Weighted Least Square Estimation (WLSE) technique is that the proposed scheme can estimate the states of the ill-conditioned systems (ICS). The proposed scheme has been tested on well-conditioned IEEE 5-bus, 14-bus, 30-bus, 57-bus and 118-bus test systems as well as ill-conditioned 11-bus and 13-bus test systems under different simulated operating conditions. The test results have been compared with the same from WLSE technique using some statistical parameters and performance indices to prove the superiority of the proposed scheme.