A non-synchronous compressive sensing detection method for grid harmonics with continuous hanning window
A technology of compressed sensing and detection methods, applied in the direction of measuring devices, measuring electrical variables, instruments, etc., can solve problems such as poor detection accuracy, low efficiency of reconstruction algorithms, and poor signal frequency domain sparsity, so as to reduce the impact and improve Effects of reconstruction efficiency and detection accuracy
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Embodiment 1
[0124] Discrete Fourier transform is performed on the signals of power grid harmonics generated by formula (16) under synchronous sampling, asynchronous sampling and asynchronous plus continuous Hanning window sampling, and the three amplitude spectra obtained respectively are as follows: image 3 As shown, the amplitude and relative error of each harmonic are shown in Table 1.
[0125] Table 1
[0126]
[0127] When sampling synchronously, the sampling frequency is set to an integer multiple of the power frequency. At this time, the spectrum leakage phenomenon will not occur in the amplitude spectrum of each harmonic. The sparsity of the harmonic signal in the frequency domain is the best and the amplitude of each component can be accurate. Detection; when sampling asynchronously, because the sampling frequency is not an integer multiple of the power frequency, the amplitude spectrum will leak due to non-full cycle sampling, the sparsity of the harmonic signal will become ...
Embodiment 2
[0130] according to figure 2 Specifically implement steps 1 and 2) Firstly, generate grid harmonic signal x with continuous Hanning window 1 (t) into the RD-AIC, and with the frequency of 10kHz pseudo-random sequence p c (t) multiplied, the output signal y 1 The time-frequency waveform of (t) is as follows Figure 4 (1) shown. As a comparison, the harmonic signal x(t) without continuous Hanning window is sent to RD-AIC, and it is compared with the pseudo-random sequence p with frequency of 10kHz c (t) multiplied, the time-frequency waveform of the output signal y(t) is as follows Figure 4 As shown in (2); secondly, the y 1 (t) and y(t) are sent to the low-pass filter respectively, and the output signal y' 1 (t) and y’(t), the time-frequency waveforms are as follows Figure 5 (1), (2); finally y' 1 (t) and y’(t) are respectively sent to the low-speed ADC, and the output observation signal y 1 (m) and y(m), the time-frequency waveforms are as follows Figure 6 (1) an...
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