Clustering Neighboring PMUs

Dynamic Time Warping (DTW) Technique has been utilized.

• Neighboring PMUs show similar curve during electrical events.

• DTW is used to find the PMUs which show similar trend for time-series data.

• Therefore, with respect to a reference PMU, the most similar PMU curves corresponds to the PMUs which are connected or electrically close to that reference PMU

• For each PMU, a DTW matrix is created by calculating DTW with respect to rest of the PMUs. For N number of PMUs, there will ne N by N matrix

• The following algorithm will be applied to find the Neighboring PMUs for Reference PMU (in this work the reference PMU is PMU# 1)