Rife-Vincent (II) window interpolation FFT (Fast Fourier Transform)-based harmonic and inter-harmonic detection method
A harmonic detection and harmonic technology, applied in the field-based, can solve problems such as unsatisfactory spectrum side lobe characteristics, large analysis errors, difficult frequency measurement and harmonic analysis, and limited suppression
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Embodiment 1
[0049] Harmonic detection:
[0050] Select a voltage harmonic signal x(t), such as image 3 shown.
[0051] The harmonic detection method of the present invention comprises six steps:
[0052] Step 1. With a fixed sampling frequency f s =10000Hz sampling harmonic signal x(t) to get: x(n), for its Rife-Vincent (II) window (M=11, R=10 150 ) to get the truncated signal x m (n),x m (n)=x(n)w(n)n=0...N-1, the length of the window function N=2000, the signal after sampling is as follows Figure 4 shown;
[0053] Perform Fourier transform calculation on the truncated signal, as shown in equation (9):
[0054] X m ( k ) = N 2 Σ n = 0 N - 1 ( A n / ...
Embodiment 2
[0070] Interharmonic detection:
[0071] Select a voltage signal x(t) containing interharmonics, such as Figure 5 shown.
[0072] The interharmonic detection method of the present invention comprises six steps:
[0073] Step 1. With a fixed sampling frequency f s =10000Hz sampling harmonic signal x(t) to get: x(n), for its Rife-Vincent (II) window (M=3, R=10 50 ) to get the truncated signal x m (n),x m (n)=x(n)w(n)n=0...N-1, the length of the window function N=2000, the signal after sampling is as follows Figure 6 shown;
[0074] Perform Fourier transform calculation on the truncated signal, as shown in formula (15):
[0075] X m ( k ) = N 2 Σ n = 0 N - 1 ( A ...
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