The invention discloses a distribution network fault line 
selection method based on a 
random matrix and a 
Hausdorff distance. Three-phase current sampling values of a 
feeder line before and after fault are selected, through blocking and translation 
processing, white 
Gaussian noise is added, a state 
data matrix is generated, a 
product matrix is obtained by using 
equivalent transformation of singular values of the 
random matrix, a standard matrix product is obtained by normalization, eigenvalue vectors are acquired, probability statistics is carried out, eigenvalue vectors with the probabilitiesP to be smaller than 10% are used as outliers to be filtered, a 
Hausdorff distance algorithm is adopted, the Hausdorff distances between the eigenvalue vector of a certain 
feeder line and the eigenvalue vectors of other feeder lines are calculated, the maximum value is removed, averaging is carried out to obtain an average 
Hausdorff distance of the 
feeder line, if the average distance is larger than a threshold, fault of the feeder line is judged, and if the average Hausdorff distance of each feeder line is smaller than the threshold, fault of a connected 
bus is judged. A fault feeder line and a fault 
bus can be judged accurately, the judgment does not rely on a distribution 
network model and is not influenced by a fault location, transition resistance, an 
initial phase angle and a line type, and the practicability is good.