Modified recurrent equation-based cubic spline interpolation for missing data recovery in phasor measurement unit (PMU)

Shruthi Thangaraj, Vik Tor Goh, Timothy Tzen Vun Yap

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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 languageEnglish
Article number246
JournalF1000Research
Volume11
DOIs
Publication statusPublished - 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)

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