Abstract

The signal spectral leakage and fence effect are prone to take place during the power harmonic analysis by fast fourier transform (FFT) under asynchronous sampling. The inhibiting ability of classical window functions is restricted by side-lobe behaviors. A new type window function called time domain mutual-multiplication window, is obtained by multiplication operation of several window functions. A novel approach of harmonic analysis is developed through analyzing performances of main-lobe and side-lobe of the new window. Simulation results show that the time domain mutual-multiplication window can significantly suppress frequency spectral leakage and improve the accuracy of harmonic parameter estimation.

Highlights

  • Accurate calculation of harmonic parameters plays an important role in harmonic source localization, harmonic control and power system stability [1,2,3]

  • In practical applications, the accuracy of harmonic estimation would be reduced under some situations, especially in cases of fundamental frequency variance and background noise presence

  • The picket fence effect and spectral leakage are caused mainly by asynchronous sampling of the harmonic signal, which means that the sampling rate is not synchronized with the varying fundamental frequency of the power signal

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Summary

Introduction

Accurate calculation of harmonic parameters plays an important role in harmonic source localization, harmonic control and power system stability [1,2,3]. The picket fence effect and spectral leakage are caused mainly by asynchronous sampling of the harmonic signal, which means that the sampling rate is not synchronized with the varying fundamental frequency of the power signal. Many algorithms have been proposed to reduce the picket fence effect and spectral leakage. The most commonly recognized algorithm is weighted interpolation FFT by using nonrectangular window [7,8,9,10] which could significantly suppress the spectral leakage and reduce the picket fence effect to increase the accuracy of the harmonic analysis. A combination of various window functions are proposed to improve the accuracy of power system harmonic analysis, such as Hanning window, Nuttall window, rectangular self-convolution window, Hanning selfconvolution window and Nuttall self-convolution window. Simulations pinpoint demonstration and verification to the high accuracy of the algorithm

Mutual-multiplication window functions
Self-multiplication window function
Mutual-multiplication window function
Summary
Window simulation and implementation
Experimental analysis of the signal without noise
Experimental analysis under frequency fluctuations with noise
Conclusion
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