Research Article

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

Table 12

Fault voting result with strong noise.
(a) Fault voting result of overhead line

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

5 5Overhead line 0.9384 × (−1)0.7986 × (−1)0.8217 × (−1)0.7807 × (−1)3.3394 > 0Vote is fault line
Overhead line 0.9384 × 10.7986 × 10.8217 × (−1)0.7807 × (−1)1.737 > 1.6024Vote is healthy line
Hybrid line 0.9384 × 10.7986 × 10.8217 × 10.7807 × 13.3394 > 0Vote is healthy line
Cable line 0.9384 × 10.7986 × 10.8217 × 10.7807 × (−1)2.5587 > 0.7807Vote is healthy line

10 500Overhead line 0.9384 × 10.7986 × (−1)0.8217 × (−1)0.7807 × (−1)2.401 > 0.9384Vote is fault line
Overhead line 0.9384 × 10.7986 × 10.8217 × 10.7807 × 13.3394 > 0Vote is healthy line
Hybrid line 0.9384 × 10.7986 × 10.8217 × 10.7807 × 13.3394 > 0Vote is healthy line
Cable line 0.9384 × 10.7986 × 10.8217 × 10.7807 × 13.3394 > 0Vote is healthy line

(b) Fault voting result of hybrid line

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

5 500Overhead line 0.9384 × 10.7986 × 10.8217 × 10.7807 × (−1)2.5587 > 0.7807Vote is healthy line
Overhead line 0.9384 × 10.7986 × 10.8217 × 10.7807 × 13.3394 > 0Vote is healthy line
Hybrid line 0.9384 × (−1)0.7986 × (−1)0.8217 × 10.7807 × (−1)2.5177 > 0.8217Vote is fault line
Cable line 0.9384 × 10.7986 × 10.8217 × (−1)0.7807 × 12.5177 > 0.8217Vote is healthy line

14 2000Overhead line 0.9384 × 10.7986 × 10.8217 × 10.7807 × (−1)2.5587 > 0.7807Vote is healthy line
Overhead line 0.9384 × 10.7986 × (−1)0.8217 × 10.7807 × 12.5408 > 0.7986Vote is healthy line
Hybrid line 0.9384 × (−1)0.7986 × (−1)0.8217 × (−1)0.7807 × (−1)3.3394 > 0Vote is fault line
Cable line 0.9384 × 10.7986 × 10.8217 × 10.7807 × 13.3394 > 0Vote is healthy line

(c) Fault voting result of cable line

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

4 200Overhead line 0.9384 × 10.7986 × 10.8217 × 10.7807 × (−1)2.5587 > 0.7807Vote is healthy line
Overhead line 0.9384 × 10.7986 × 10.8217 × 10.7807 × 13.3394 > 0Vote is healthy line
Hybrid line 0.9384 × 10.7986 × 10.8217 × 10.7807 × 13.3394 > 0Vote is healthy line
Cable line 0.9384 × (−1)0.7986 × 10.8217 × (−1)0.7807 × (−1)2.5408 > 0.7986Vote is fault line

8 10Overhead line 0.9384 × 10.7986 × (−1)0.8217 × 10.7807 × 12.5408 > 0.7986Vote is healthy line
Overhead line 0.9384 × 10.7986 × 10.8217 × 10.7807 × 13.3394 > 0Vote is healthy line
Hybrid line 0.9384 × 10.7986 × 10.8217 × 10.7807 × 13.3394 > 0Vote is healthy line
Cable line 0.9384 × (−1)0.7986 × 10.8217 × (−1)0.7807 × (−1)2.5408 > 0.7986Vote is fault line