Abstract
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.
Original language | English |
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Article number | 246 |
Journal | F1000Research |
Volume | 11 |
DOIs | |
Publication status | Published - 18 Dec 2023 |
Keywords
- cubic spline
- data pre-processing
- data quality
- data recovery
- interpolation
- missing data
- phasor measurement unit
- smart grid
ASJC Scopus subject areas
- General Biochemistry,Genetics and Molecular Biology
- General Immunology and Microbiology
- Pharmacology, Toxicology and Pharmaceutics(all)