A New Time Series Similarity Measure and Its Smart Grid Applications

Fuente: arXiv
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Autori principali: Yuan, Rui, Ranjbar, Hossein, Pourmousavi, S. Ali, Soong, Wen L., Black, Andrew J., Liisberg, Jon A. R., Lemos-Vinasco, Julian
Natura: Preprint
Pubblicazione: 2023
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author Yuan, Rui
Ranjbar, Hossein
Pourmousavi, S. Ali
Soong, Wen L.
Black, Andrew J.
Liisberg, Jon A. R.
Lemos-Vinasco, Julian
author_facet Yuan, Rui
Ranjbar, Hossein
Pourmousavi, S. Ali
Soong, Wen L.
Black, Andrew J.
Liisberg, Jon A. R.
Lemos-Vinasco, Julian
contents Many smart grid applications involve data mining, clustering, classification, identification, and anomaly detection, among others. These applications primarily depend on the measurement of similarity, which is the distance between different time series or subsequences of a time series. The commonly used time series distance measures, namely Euclidean Distance (ED) and Dynamic Time Warping (DTW), do not quantify the flexible nature of electricity usage data in terms of temporal dynamics. As a result, there is a need for a new distance measure that can quantify both the amplitude and temporal changes of electricity time series for smart grid applications, e.g., demand response and load profiling. This paper introduces a novel distance measure to compare electricity usage patterns. The method consists of two phases that quantify the effort required to reshape one time series into another, considering both amplitude and temporal changes. The proposed method is evaluated against ED and DTW using real-world data in three smart grid applications. Overall, the proposed measure outperforms ED and DTW in accurately identifying the best load scheduling strategy, anomalous days with irregular electricity usage, and determining electricity users' behind-the-meter (BTM) equipment.
format Preprint
id arxiv_https___arxiv_org_abs_2310_12399
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A New Time Series Similarity Measure and Its Smart Grid Applications
Yuan, Rui
Ranjbar, Hossein
Pourmousavi, S. Ali
Soong, Wen L.
Black, Andrew J.
Liisberg, Jon A. R.
Lemos-Vinasco, Julian
Signal Processing
Audio and Speech Processing
Many smart grid applications involve data mining, clustering, classification, identification, and anomaly detection, among others. These applications primarily depend on the measurement of similarity, which is the distance between different time series or subsequences of a time series. The commonly used time series distance measures, namely Euclidean Distance (ED) and Dynamic Time Warping (DTW), do not quantify the flexible nature of electricity usage data in terms of temporal dynamics. As a result, there is a need for a new distance measure that can quantify both the amplitude and temporal changes of electricity time series for smart grid applications, e.g., demand response and load profiling. This paper introduces a novel distance measure to compare electricity usage patterns. The method consists of two phases that quantify the effort required to reshape one time series into another, considering both amplitude and temporal changes. The proposed method is evaluated against ED and DTW using real-world data in three smart grid applications. Overall, the proposed measure outperforms ED and DTW in accurately identifying the best load scheduling strategy, anomalous days with irregular electricity usage, and determining electricity users' behind-the-meter (BTM) equipment.
title A New Time Series Similarity Measure and Its Smart Grid Applications
topic Signal Processing
Audio and Speech Processing
url https://arxiv.org/abs/2310.12399