Research Article

Fault Line Selection Method of Small Current to Ground System Based on Atomic Sparse Decomposition and Extreme Learning Machine

Table 7

Fault voting result of overhead line under 0°.

Fault location/kmTransition resistance/Feeder line styleAtom 1Atom 2Atom 3Atom 4Voting resultsFault line selection results

10 100Overhead line 0.9667 × (−1)0.855 × (−1)0.8358 × (−1)0.7866 × (−1)3.4441 > 0Vote is fault line
Overhead line 0.9667 × 10.855 × 10.8358 × (−1)0.7866 × (−1)1.8217 > 1.6224Vote is healthy line
Hybrid line 0.9667 × 10.855 × 10.8358 × 10.7866 × 13.4441 > 0Vote is healthy line
Cable line 0.9667 × 10.855 × 10.8358 × 10.7866 × (−1)2.6575 > 0.7866Vote is healthy line

5 1000Overhead line 0.9667 × (−1)0.855 × (−1)0.8358 × (−1)0.7866 × (−1)3.4441 > 0Vote is fault line
Overhead line 0.9667 × 10.855 × 10.8358 × 10.7866 × 13.4441 > 0Vote is healthy line
Hybrid line 0.9667 × 10.855 × (−1)0.8358 × 10.7866 × 12.5891 > 0.855Vote is healthy line
Cable line 0.9667 × 10.855 × 10.8358 × 10.7866 × (−1)2.6575 > 0.7866Vote is healthy line

10 1000Overhead line 0.9667 × (−1)0.855 × (−1)0.8358 × (−1)0.7866 × (−1)3.4441 > 0Vote is fault line
Overhead line 0.9667 × 10.855 × 10.8358 × 10.7866 × 13.4441 > 0Vote is healthy line
Hybrid line 0.9667 × 10.855 × 10.8358 × 10.7866 × 13.4441 > 0Vote is healthy line
Cable line 0.9667 × 10.855 × 10.8358 × (−1)0.7866 × 12.6083 > 0.8358Vote is healthy line

5 2000Overhead line 0.9667 × (−1)0.855 × (−1)0.8358 × (−1)0.7866 × 12.6575 > 0.7866Vote is fault line
Overhead line 0.9667 × 10.855 × 10.8358 × 10.7866 × 13.4441 > 0Vote is healthy line
Hybrid line 0.9667 × 10.855 × 10.8358 × 10.7866 × 13.4441 > 0Vote is healthy line
Cable line 0.9667 × 10.855 × (−1)0.8358 × 10.7866 × 12.5891 > 0.855Vote is healthy line

10 2000Overhead line 0.9667 × (−1)0.855 × (−1)0.8358 × (−1)0.7866 × (−1)3.4441 > 0Vote is fault line
Overhead line 0.9667 × 10.855 × 10.8358 × 10.7866 × 13.4441 > 0Vote is healthy line
Hybrid line 0.9667 × 10.855 × 10.8358 × (−1)0.7866 × 12.6083 > 0.8358Vote is healthy line
Cable line 0.9667 × 10.855 × 10.8358 × 10.7866 × 13.4441 > 0Vote is healthy line