Power converters are present in increasing numbers in the electric power grid. They are a major source of harmonic currents and voltages, which can reduce power quality and trip protection devices. The frequency coupling matrix (FCM) is a general technique for modeling converter harmonics. It can be obtained through experimental characterization or, given a converter's internal parameters, direct calculation. In this paper, we estimate FCMs from network measurements. We give a novel harmonic reduction theorem for computing equivalent, virtual FCMs for unobservable portions of a network. We estimate FCMs and harmonic line admittances from PMU measurements, and give an efficient online version for the FCM problem. We test our approaches on a numerical example, and show that the estimation error is low under noisy observations.
@article{arxiv.1809.08192,
title = {Estimating the Frequency Coupling Matrix from Network Measurements},
author = {Antoine Lesage-Landry and Siyu Chen and Joshua A. Taylor},
journal= {arXiv preprint arXiv:1809.08192},
year = {2020}
}