Title :
PMU placement to reduce state estimation bias considering parameters uncertainty
Author :
Davoudi, Mehdi ; Abdelhadi Muhammed, Elssodani
Author_Institution :
Power Syst. Dev. & Network Security, Milan Univ. & RSE S.p.A., Milan, Italy
Abstract :
In this paper, a novel analysis is performed to determine the bias of Weighted Least Squares (WLS) power system state estimator to find out how much different placements of Phasor Measurement Unit (PMU) will affect the state estimator´s bias behavior whereas the network parameters are subjected to different quantities of uncertainties for a given measurement uncertainty. The lack of unbiasedness is an important defect of state estimators hence, for each network parameters uncertainty the bias of state estimator is computed. To determine how much the state estimator is biased, using the classical hypothesis test approach a threshold is assigned. The analysis is simulated on IEEE 14-Bus power network test case. To have an idea about the visualization of bias test concept, the bias of voltage magnitude and phase angle errors versus the parameters uncertainty are shown for a PMU placement. Then, for different PMU placements, the values of parameters uncertainty that the state estimator is less biased are shown. The novelty of this analysis is that it finds the location of PMUs to have the state estimator less biased, considering different network parameters uncertainties.
Keywords :
least squares approximations; measurement uncertainty; phasor measurement; power system state estimation; PMU; WLS power system state estimator; bias behavior; bias test concept visualization; hypothesis test approach; measurement uncertainty; network parameters uncertainty; phase angle errors; phasor measurement unit; voltage magnitude; weighted least squares power system state estimator; Phasor measurement units; Power measurement; Standards; Bias of Estimator; Network Parameters Uncertainty; PMU Placement; Phasor Measurement Unit (PMU); Power System State Estimation; Weighted Least Squares (WLS);
Conference_Titel :
Power Systems Protection and Control Conference (PSPC), 2015 9th
Conference_Location :
Tehran
DOI :
10.1109/PSPC.2015.7094929