2020
DOI: 10.1109/tpwrs.2019.2935739
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Invisible Units Detection and Estimation Based on Random Matrix Theory

Abstract: Invisible units mainly refer to small-scale units that are not monitored by, and thus are not visible to utilities. Integration of these invisible units into power systems does significantly affect the way in which a distribution grid is planned and operated. This paper, based on random matrix theory (RMT), proposes a statistical, data-driven framework to handle the massive grid data, in contrast to its deterministic, model-based counterpart. Combining the RMT-based data-mining framework with conventional tech… Show more

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Cited by 46 publications
(21 citation statements)
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“…Table 4 reveals that CBAS algorithm owns the fastest convergence rate while Table 5 shows that CBAS algorithm owns the minimum fitness function in 10 runs. Lastly, the integral of absolute error (IAE) [40][41][42] of each algorithm in three scenarios are given by Table 6, in which IAE x ¼ R T 0 jx À x � jdt and x � denotes the reference of variable x, respectively [43,44]. In particular, IAE δ of CBAS algorithm is merely 32.28%, 55.41%, 48.81%, and 56.94% of that of manual tuning [45][46][47], PSO, GA, and BAS algorithm, respectively (bold colour indicates the best results in Tables 4-6).…”
Section: Dfig Lossmentioning
confidence: 99%
“…Table 4 reveals that CBAS algorithm owns the fastest convergence rate while Table 5 shows that CBAS algorithm owns the minimum fitness function in 10 runs. Lastly, the integral of absolute error (IAE) [40][41][42] of each algorithm in three scenarios are given by Table 6, in which IAE x ¼ R T 0 jx À x � jdt and x � denotes the reference of variable x, respectively [43,44]. In particular, IAE δ of CBAS algorithm is merely 32.28%, 55.41%, 48.81%, and 56.94% of that of manual tuning [45][46][47], PSO, GA, and BAS algorithm, respectively (bold colour indicates the best results in Tables 4-6).…”
Section: Dfig Lossmentioning
confidence: 99%
“…Therefore, a combination of (19), (20), (21) and (27) can be utilized to provide the warning/alarm bounds of the levitation condition for the maglev train.…”
Section: ) Asymptotic Characteristics Analysismentioning
confidence: 99%
“…As an effective universal data analysis tool, random matrix theory (RMT) can be applied to the operating condition awareness of the decoupled multi-node LCS. RMT has been introduced in the big data architecture design of smart girds for correlation analysis and anomaly detection purposes [18][19][20].…”
Section: Introductionmentioning
confidence: 99%
“…While the knowledge of Y is crucial, it may be unavailable or outdated (via TI) due to some reasons [3][4][5][6][7]. Among these reasons, the uncertainties caused by the behavior of high-penetration renewables [8,9], which are analytically intractable for most tools, are one of the main challenges. How to address these uncertainties by harnessing their jointly spatial-temporal statistical properties is at the heart of our study, and this question threads throughout the proposed hybrid framework.…”
Section: Introductionmentioning
confidence: 99%