State estimation of electrical power systems based on optimal deployment of PMU considering contingencies

Abstract

The present research proposes to design and apply a state estimator algorithm in electrical power systems, applying the Weighted Least Squares methodology, through a process called non-linear hybrid estimator, the same one that uses measurements from PMUs and conventional measurements. in addition, to find the optimal PMU locations respecting the observability and redundancy restrictions for the Electric Power Systems, through mixed integer linear programming, considering the N-1 contingencies in the SEP. The proposed state estimator is adjusted to the measurements obtained, in the presence of contingencies in the SEP. The simulations obtained as a result of the implementation of the hybrid state estimator show that the proposal improves the precision of the estimator and the speed of convergence, considering the minimum error of system measurements and the number of PMUs placed in the Power System, after a contingency occurs, which may be the departure of a PMU or the loss of one of the transmission lines of the SEP.