Seyyed Mostafa Nosratabadi - Department of Elec. Eng. University of Isfahan Isfahan, Iran
Mohamad Reza Sheibani - Department of Elec. Eng. Isfahan University of Tech. Isfahan, Iran
Javad Modarresi - Department of Elec. Eng. University of Isfahan Isfahan, Iran
Morteza Jadidoleslam - Department of Elec. Eng. Isfahan University of Tech. Isfahan, Iran

This research work presents a method for optimal placement of Phasor Measurement Units (PMUs) in state estimation of a power system for normal operating condition, as well as for uncertainty condition. State estimation has first been turned into an optimization exercise in which the objective function is selected to be the Mean Square Error (MSE) in estimation process. In this paper state estimation is determined based on Weighted Least Squares (WLS) method. For the normal condition, Differential Evolution (DE) algorithm is used to find the optimal placement of PMUs. By considering uncertainty, a multi-objective optimization exercise is hence formulated. To achieve this, DE algorithm based on Pareto optimum method has been proposed here. The suggested strategy is applied on the IEEE 30-bus test system in several case studies to evaluate the optimal PMUs placement

PMU Placement, State Estimation, Uncertainty, Differential Evolution Algorithm, Pareto Optimum Method