Research Article

An Improved Lagrange Particle Swarm Optimization Algorithm and Its Application in Multiple Fault Diagnosis

Table 2

The results of double-fault diagnosis with Lagrange relaxation-particle swarm optimization algorithm.

Fault no.Sensor report no.Diagnosis results

1, 23, 4, 5, 8, 10, 11, 12, 13, 141, 2
1, 34, 5, 6, 7, 8, 9, 10, 11, 12, 13, 151, 3
1, 42, 4, 6, 7, 8, 10, 11, 12, 13, 14, 151, 4
1, 52, 4, 6, 7, 8, 9, 10, 11, 12, 13, 141, 5
1, 64, 5, 8, 9, 10, 11, 12, 13, 14, 151, 6
1, 71, 4, 5, 8, 10, 11, 12, 13, 151, 7
1, 81, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 141, 8
1, 91, 4, 5, 8, 11, 12, 13, 14, 151, 9
1, 101, 2, 3, 4, 7, 8, 10, 11, 12, 13, 141, 10
2, 33, 5, 6, 7, 9, 10, 11, 12, 14, 152, 3
2, 42, 3, 5, 6, 7, 11, 12, 14, 152, 4
2, 52, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 142, 5
2, 63, 4, 5, 8, 9, 10, 11, 12, 13, 14, 152, 6
2, 71, 3, 4, 5, 8, 11, 12, 13, 14, 152, 7
2, 81, 2, 3, 5, 6, 7, 9, 10, 11, 12, 142, 8
2, 91, 3, 4, 5, 11, 12, 14, 152, 9
2, 101, 2, 3, 4, 5, 7, 11, 12, 13, 142, 10
3, 42, 5, 6, 7, 9, 10, 11, 12, 14, 153, 4
3, 52, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 153, 5
3, 64, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 153, 6
3, 71, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 153, 7
3, 81, 2, 3, 5, 6, 7, 9, 10, 11, 12, 14, 153, 8
3, 91, 4, 5, 6, 7, 9, 10, 11, 12, 14, 153, 9
3, 101, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 153, 10
4, 52, 4, 6, 7, 8, 9, 10, 13, 14, 154, 5
4, 62, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 154, 5, 6
4, 71, 2, 4, 5, 6, 7, 8, 11, 13, 14, 154, 7
4, 81, 2, 3, 6, 7, 9, 10, 11, 14, 154, 8
4, 91, 2, 4, 5, 6, 7, 12, 14, 154, 9
4, 101, 2, 3, 4, 6, 7, 11, 13, 14, 154, 10
5, 62, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 154, 5, 6
5, 71, 2, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 155, 7
5, 81, 2, 3, 4, 6, 7, 8, 9, 10, 11, 13, 145, 8, 10
5, 91, 2, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 155, 9
5, 101, 2, 3, 4, 6, 7, 8, 9, 10, 11, 13, 145, 8, 10
6, 71, 4, 5, 8, 9, 10, 11, 12, 13, 14, 156, 7
6, 81, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 156, 8
6, 91, 4, 5, 8, 9, 10, 12, 13, 14, 156, 9
6, 101, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 156, 10
7, 81, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 157, 8
7, 91, 4, 5, 8, 11, 12, 13, 14, 157, 9
7, 101, 2, 3, 4, 5, 7, 8, 11, 13, 14, 157, 10
8, 91, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 158, 9
8, 101, 2, 3, 4, 6, 7, 9, 10, 11, 13, 148, 10
9, 101, 2, 3, 4, 5, 7, 11, 12, 13, 14, 159, 10
Fault isolation rateā€‰ā€‰91.11%