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Modified recurrent equation-based cubic spline interpolation for missing data recovery in phasor measurement unit
Shruthi Thangaraj1, Vik Tor Goh1, Timothy Tzen Vun Yap2
1Faculty of Engineering, Multimedia University, Cyberjaya, Selangor, 63100, Malaysia.
A new method significantly speeds up the recovery of missing Phasor Measurement Unit (PMU) data for smart grids. This faster approach ensures reliable grid operation by efficiently interpolating essential data points.
Area of Science:
- Electrical Engineering
- Data Science
- Power Systems
Background:
- Smart grid operation relies on high-quality Phasor Measurement Unit (PMU) data.
- Missing PMU data can compromise grid stability and lead to blackouts.
- Conventional cubic interpolation methods for missing data are computationally intensive.
Purpose of the Study:
- To develop a more efficient method for recovering missing PMU data.
- To improve the speed and simplicity of data interpolation for smart grids.
Main Methods:
- A modified recurrent equation-based cubic spline interpolation procedure was developed.
- The new method simplifies the computation of spline constants.
- Performance was evaluated using PMU data from India, comparing RMSE and calculation time.
Main Results:
- The modified recurrent relation method is 10 times faster than conventional cubic interpolation.
- The proposed method demonstrates effectiveness for various missing data scenarios, including edge and continuous gaps.
- Root Mean Square Error (RMSE) values confirm the accuracy of the proposed method.
Conclusions:
- The novel method efficiently retrieves any number of missing PMU values at any location.
- Minimal calculations are required, enhancing computational efficiency for smart grid data recovery.
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