Modified recurrent equation-based cubic spline interpolation for missing data recovery in phasor measurement unit (PMU).
Autor: | Thangaraj S; Faculty of Engineering, Multimedia University, Cyberjaya, Selangor, 63100, Malaysia., Goh VT; Faculty of Engineering, Multimedia University, Cyberjaya, Selangor, 63100, Malaysia., Yap TTV; Faculty of Computing and Informatics, Multimedia University, Cyberjaya, Selangor, 63100, Malaysia. |
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Jazyk: | angličtina |
Zdroj: | F1000Research [F1000Res] 2023 Dec 18; Vol. 11, pp. 246. Date of Electronic Publication: 2023 Dec 18 (Print Publication: 2022). |
DOI: | 10.12688/f1000research.73182.3 |
Abstrakt: | Background: Smart grid systems require high-quality Phasor Measurement Unit (PMU) data for proper operation, control, and decision-making. Missing PMU data may lead to improper actions or even blackouts. While the conventional cubic interpolation methods based on the solution of a set of linear equations to solve for the cubic spline coefficients have been applied by many researchers for interpolation of missing data, the computational complexity increases non-linearly with increasing data size. Methods: In this work, a modified recurrent equation-based cubic spline interpolation procedure for recovering missing PMU data is proposed. The recurrent equation-based method makes the computations of spline constants simpler. Using PMU data from the State Load Despatch Center (SLDC) in Madhya Pradesh, India, a comparison of the root mean square error (RMSE) values and time of calculation (ToC) is calculated for both methods. Results: The modified recurrent relation method could retrieve missing values 10 times faster when compared to the conventional cubic interpolation method based on the solution of a set of linear equations. The RMSE values have shown the proposed method is effective even for special cases of missing values (edges, continuous missing values). Conclusions: The proposed method can retrieve any number of missing values at any location using observed data with a minimal number of calculations. Competing Interests: No competing interests were disclosed. (Copyright: © 2023 Thangaraj S et al.) |
Databáze: | MEDLINE |
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