A fault line selection method for distribution network based on random matrix and hausdorff distance

Abstract

The invention discloses a distribution network fault line selection method based on random matrix and Hausdorff distance. Three-phase current sampling values ​​of feeders before and after the fault are selected, and Gaussian white noise is added through block and translation processing to generate a state data matrix. The matrix singular value is equivalently transformed to obtain the product matrix, normalized to obtain the standard matrix product, and the eigenvalue vector is obtained, and probability statistics are performed on them. The eigenvalues ​​with probability P<10% are filtered out as outliers, and the Hausdorff distance algorithm is used. , calculate the Hausdorff distance between the eigenvalue vectors of a feeder and other feeders, remove the maximum value, and average the average Hausdorff distance of the feeder. If the average distance is greater than the threshold, the feeder is judged to be faulty; if the average Hausdorff distance of each feeder If the distances are all less than the threshold, it is judged that the connected bus is faulty. The invention can accurately judge the fault feeder and bus, does not depend on the distribution network model, is not affected by the fault location, transition resistance, initial phase angle and line type, and has good practicability.

Description

technical field [0001] The invention belongs to the technical field of distribution network fault line selection, and in particular relates to a distribution network fault line selection method based on random matrix and Hausdorff distance. Background technique [0002] The distribution network line is short, and the neutral point is not directly grounded. Single-phase ground fault is the most common fault in the distribution network, accounting for more than 80% of the faults in the small current grounding system. Scholars at home and abroad have made in-depth research on the fault line selection methods of distribution network. In the prior art, there are the following methods for fault line selection of distribution network: [0003] Using the attenuated DC component, power frequency component and high frequency component of the feeder transient zero-sequence current, combined with the line impedance characteristics of different frequency bands, a line selection method ba...

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Problems solved by technology

[0006] The purpose of the present invention is to address the deficiencies in the prior art, to provide a distribution network fault line selection method based on random matrix and Hausdorff distance, to solve the problem that the existing distribution network fault line selection depends on the system model and rarely uses the random matrix Application of Theory to Distribution Network Fault Line Selection Problem

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