Harmonic Analysis Method Based on ZoomFFT and Multispectral Interpolation Algorithm

doi:10.11985/2023.04.020

Abstract

Abstract:

Various detection algorithms based on fast Fourier transform have become a common method for power quality analysis due to their fast response speed and easy engineering implementation. It is easy to cause spectrum leakage, and difficult to accurately realize the separation and detection of multiple harmonics. A complex harmonic detection method based on the Blackman-Harris window function quadratic line interpolation algorithm and the complex modulation spectrum refinement algorithm is proposed. The improved windowed interpolation algorithm is used to detect harmonics. For the spectrum where main lobe interference occurs, the complex modulation spectrum refinement algorithm is used to analyze the harmonics accurately. The simulation results show that the method can distinguish similar harmonic components, has strong real-time performance, and can meet the needs of power system detection of power parameters.

Key words: Harmonic, Blackman-Harris window, four-spectral interpolation, ZoomFFT, main lobe interference

CLC Number:

TM711

ZHU Kun, CHEN Lezhu, XU Sheng, SHI Chenjun. Harmonic Analysis Method Based on ZoomFFT and Multispectral Interpolation Algorithm[J]. Journal of Electrical Engineering, 2023, 18(4): 179-187.

Figures/Tables 13

References 20

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窗的类型	主瓣宽度	旁瓣电平/dB	旁瓣衰减速率/ (dB/oct)
Triangle	8π/N	-27	12
Rectangle	4π/N	-13	6
Hamming	8π/N	-43	6
Blackman	12π/N	-58	18
Blackman-Harris	16π/N	-92	6
Hanning	8π/N	-32	18
4项1阶Nuttall	16π/N	-93	18
4项3阶Nuttall	16π/N	-83	30

信号分量	频率f/Hz	幅值U/V	初相位φ/(°)
X₁	50	80	0
X₂	51	20	0
X₃	55	15	10
X₄	100	20	30
X₅	105	10	60
X₆	150	50	150
X₇	152	15	-20
X₈	200	14	30
X₉	250	20	-50

信号分量	频率f/Hz	幅值U/V	初相位φ/(°)
X₁	50.000 5	80.001 0	0.000 8
X₂	51.001 2	20.000 6	0.000 5
X₃	55.000 5	16.000 5	10.000 9
X₄	100.001 1	20.000 6	30.000 8
X₅	105.000 0	10.000 3	60.000 6
X₆	149.999 9	49.999 5	149.999 1
X₇	151.999 8	14.999 5	-19.999 2
X₈	200.000 0	15.000 6	30.000 9
X₉	250.000 0	20.000 6	-50.000 5

信号分量	频率f/Hz	幅值U/V	初相位φ/(°)
X₁	50.001 2	80.011 5	0.010 7
X₂	—	—	—
X₃	54.989 5	15.385 5	9.993 1
X₄	99.998 9	19.998 0	29.996 9
X₅	104.997 8	9.995 3	59.993 2
X₆	149.998 9	49.998 8	149.998 8
X₇	151.984 9	14.298 8	-19.002 3
X₈	199.998 5	14.978 2	29.991 2
X₉	249.999 2	19.998 9	-49.998 8

对比算法	采样点数目	计算时长/ms
ZFFT	10 240	29.00
Blackman-Harris窗	1 024	0.26
Hanning窗	1 024	0.21
Hamming窗	1 024	0.22
本文算法	1 024\|10 240	2.20