Power grid abnormal state detecting method based on maximum feature value of sample covariance matrix
A technology of covariance matrix and maximum eigenvalue, applied in the direction of measuring electricity, measuring devices, measuring electrical variables, etc., can solve problems such as power grid failure, and achieve the effect of effective detection, good anti-noise performance, and less time-consuming calculation
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[0039] The specific implementation of the present invention will be described in detail below in conjunction with the drawings and examples, but the present invention is not limited by the specific examples.
[0040] Considering the influence of channel noise in the transmission process, the abnormal state detection model is defined as shown in formula (1).
[0041] x s =X P +m×η (1)
[0042] where X P Be the PMU signal matrix, η is the noise matrix, and the present invention all adopts Gaussian noise, and m is the noise amplitude. The noise level will affect the effect of grid abnormal state detection. To this end, the signal-to-noise ratio (Signal-to-NoiseRatio, SNR) of the data source matrix is defined as shown in formula (2).
[0043]
[0044] where Tr(·) is the trace of the matrix.
[0045] According to the steps of the present invention, such as figure 1 as shown,
[0046] Step 1: Data Source Matrix X s structure. Assuming that a power grid has N≥1 receivi...
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