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Harmonic analysis based on Nuttall window interpolation FFT

Cai Zhong-fa

Open publisher page 4 citations

Abstract

In the windowed interpolation FFT algorithms of harmonic analysis for power system,Hanning algorithm has small computation but low measuring accuracy,while Blackman-Harris has high precision but complex interpolation formula.An algorithm based on Nuttall interpolation FFT is proposed for harmonic analysis.The explicit interpolation coefficients formula of Nuttall window is derived,as well as the estimation formulas of harmonic frequency,amplitude and phase.The estimation of the second harmonic interpolation coefficients is optimized to enhance the accuracy by eliminating the spectral interference of the fundamental component with the second harmonic.Comparison with Hanning,four Rife-Vincent(Ⅲ) and Blackman-Harris interpolation FFT methods is carried out by Matlab simulation,which verifies its higher analysis accuracy.An experiment on microwave oven current further demonstrates its validity.

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What this paper is about

In the windowed interpolation FFT algorithms of harmonic analysis for power system,Hanning algorithm has small computation but low measuring accuracy,while Blackman-Harris has high precision but complex interpolation formula.An algorithm based on Nuttall interpolation FFT is proposed for harmonic analysis.The explicit interpolation coefficients formula of Nuttall window is derived,as well as the estimation formulas of harmonic frequency,amplitude and phase.The estimation of the second harmonic interpolation coefficients is optimized to enhance the accuracy by eliminating the spectral interference of the fundamental component with the second harmonic.Comparison with Hanning,four Rife-Vincent(Ⅲ) and Blackman-Harris interpolation FFT methods is carried out by Matlab simulation,which verifies its higher analysis accuracy.An experiment on microwave oven current further demonstrates its validity.

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Available abstract

In the windowed interpolation FFT algorithms of harmonic analysis for power system,Hanning algorithm has small computation but low measuring accuracy,while Blackman-Harris has high precision but complex interpolation formula.An algorithm based on Nuttall interpolation FFT is proposed for harmonic analysis.The explicit interpolation coefficients formula of Nuttall window is derived,as well as the estimation formulas of harmonic frequency,amplitude and phase.The estimation of the second harmonic interpolation coefficients is optimized to enhance the accuracy by eliminating the spectral interference of the fundamental component with the second harmonic.Comparison with Hanning,four Rife-Vincent(Ⅲ) and Blackman-Harris interpolation FFT methods is carried out by Matlab simulation,which verifies its higher analysis accuracy.An experiment on microwave oven current further demonstrates its validity.

Key concepts: Fast Fourier transform, Interpolation (computer graphics), Harmonic, Window function, Mathematics, Multivariate interpolation, Algorithm, MATLAB

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