Multiresolution Signal Decomposition With Haar Wavelets for High‐Precision Power‐Frequency Estimation

ABSTRACT Accurate and low‐latency estimation of power‐system frequency is critical for protection, control, and monitoring, particularly in modern grids with high renewable penetration and reduced inertia. Under faulted and nonstationary conditions, conventional methods—especially zero‐crossing–based techniques—exhibit significant inaccuracies due to decaying DC offsets, harmonics, and transient disturbances. This paper proposes a novel frequency estimation approach based on Haar wavelet multiresolution signal decomposition (MRSD), where frequency is inferred from local slope reversals (extrema) rather than zero crossings. A sinusoidal prefilter enhances noise robustness, while the multiresolution framework isolates the fundamental component from harmonics and disturbances. The proposed estimator provides both frequency and ROCOF estimation with low computational complexity and fast dynamic response. Its performance is validated using both simulation scenarios and real measurement data, including PMU‐based datasets and representative grid disturbance events. A quantitative comparison with conventional DFT‐ and PLL‐based estimators demonstrates improved accuracy, reduced oscillatory behavior, and faster transient tracking. Owing to its model‐free operation, robustness to distortions, and linear computational complexity, the proposed method is well suited for real‐time implementation in digital protection devices, PMUs, and power quality monitoring systems in low‐inertia power networks.

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Publication Details

Journal
International Journal of Circuit Theory and Applications
Published
2026-08-14
DOI
https://doi.org/10.1002/cta.70594
Primary Topic
Power System Optimization and Stability
Type
article
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article

Multiresolution Signal Decomposition With Haar Wavelets for High‐Precision Power‐Frequency Estimation

Dimitrije Rozgić, Predrag B. Petrović
International Journal of Circuit Theory and Applications
Power System Optimization and Stability
article

Multiresolution Signal Decomposition With Haar Wavelets for High‐Precision Power‐Frequency Estimation

Dimitrije Rozgić, Predrag B. Petrović
article en

Abstract

ABSTRACT Accurate and low‐latency estimation of power‐system frequency is critical for protection, control, and monitoring, particularly in modern grids with high renewable penetration and reduced inertia. Under faulted and nonstationary conditions, conventional methods—especially zero‐crossing–based techniques—exhibit significant inaccuracies due to decaying DC offsets, harmonics, and transient disturbances. This paper proposes a novel frequency estimation approach based on Haar wavelet multiresolution signal decomposition (MRSD), where frequency is inferred from local slope reversals (extrema) rather than zero crossings. A sinusoidal prefilter enhances noise robustness, while the multiresolution framework isolates the fundamental component from harmonics and disturbances. The proposed estimator provides both frequency and ROCOF estimation with low computational complexity and fast dynamic response. Its performance is validated using both simulation scenarios and real measurement data, including PMU‐based datasets and representative grid disturbance events. A quantitative comparison with conventional DFT‐ and PLL‐based estimators demonstrates improved accuracy, reduced oscillatory behavior, and faster transient tracking. Owing to its model‐free operation, robustness to distortions, and linear computational complexity, the proposed method is well suited for real‐time implementation in digital protection devices, PMUs, and power quality monitoring systems in low‐inertia power networks.

International Journal of Circuit Theory and Applications
University of Kragujevac (RS)
Affordable and clean energy
Openalex Percentile: Top 18%
Power System Optimization and Stability
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Multiresolution Signal Decomposition With Haar Wavelets for High‐Precision Power‐Frequency Estimation — Dimitrije Rozgić, Predrag B. Petrović · International Journal of Circuit Theory and Applications (2026) | TGRS Research Map | TGRS