Nonlinear Analysis on Transmission Line Parameters Estimation From Noisy Phasorial Measurements

Abstract

This paper proposes a complete and novel approach for estimation of impedance and admittance parameters of transmission lines from phasorial voltage and current measurements. The work uses the rigorous modeling of the noise on the phasorial measurements, and the solution is obtained based on a nonlinear approach of the estimation problem. The distortion introduced into the classical nonlinear model from the noisy data is analyzed by using statistical techniques. Finally, the performance of the estimation method is studied considering various load conditions, time-varying loads, number of samples, and noise on the phasorial measurements. The proposed method shows high accuracy in the line parameters estimation, even with distortions due to high noise levels. In addition, a good performance is also observed with a small quantity of samples, which is not observed in the linear solutions.

Keywords

• Nonlinear least squares method
• parameter estimation
• phasor measurements
• statistical analysis
• overhead transmission lines