Abstract

As the product of time and frequency resolution of the Short-Time Fourier Transform (STFT) constant, the dynamic frequency measurement accuracy provided by the STFT is reduced under asynchronous sampling. This paper proposes a novel Interpolated Short-Time Fourier Transform (IpSTFT) based on the Blackman window. The Blackman window is adopted to reduce the spectral leakage, and the spectral interpolation procedure is applied to eliminate the picket-fence effects. Results of simulations are provided to show that the proposed method can improve the accuracy of dynamic frequency measurement significantly with low time consumptions.

Highlights

  • Frequency is an important parameter of power system protection, power quality monitoring, operation, and control of devices using digital technologies

  • To improve the accuracy of dynamic frequency measurement provided by Short-Time Fourier Transform (STFT), this paper proposes the Interpolated ShortTime Fourier Transform (IpSTFT) based on the Blackman window

  • In order to solve the shortcomings of Fourier transform, Gabor proposed the STFT in 1946, which can be used for time-frequency analysis of non-stationary signals where the FT is not adaptable

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Summary

Introduction

Frequency is an important parameter of power system protection, power quality monitoring, operation, and control of devices using digital technologies. The windowed interpolation FFT algorithms are proposed to reduce spectrum leakage and picket-fence effects caused by asynchronous sampling, which can significantly improve the accuracy of frequency measurement with a steady-state assumption [6]. A series of time-frequency algorithms, including STFT, Wavelet Transform (WT), S Transform (ST), and HilbertHuang Transform (HHT) are applied for power system dynamic frequency measurement. Those approaches may either suffer from low solution accuracy, cross-terms or less computational efficiency. To improve the accuracy of dynamic frequency measurement provided by STFT, this paper proposes the Interpolated ShortTime Fourier Transform (IpSTFT) based on the Blackman window.

Short-Time Fourier Transform
The Proposed Approach
Simulations
Frequency Measurement of Frequency-Hopping Signal
Frequency Measurement of Chirp Signal
Analysis with White Noise
Simulation of Time Consumption
Findings
Conclusion
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