CIESC Journal ›› 2021, Vol. 72 ›› Issue (8): 4227-4238.DOI: 10.11949/0438-1157.20201667
• Process system engineering • Previous Articles Next Articles
Jinyu GUO(),Wentao LI,Yuan LI()
Received:
2020-11-18
Revised:
2021-05-30
Online:
2021-08-05
Published:
2021-08-05
Contact:
Yuan LI
通讯作者:
李元
作者简介:
郭金玉(1975—),女,博士,副教授,基金资助:
CLC Number:
Jinyu GUO, Wentao LI, Yuan LI. Application of adaptive algorithm of online reduced KECA in fault detection[J]. CIESC Journal, 2021, 72(8): 4227-4238.
郭金玉, 李文涛, 李元. 在线压缩KECA的自适应算法在故障检测中的应用[J]. 化工学报, 2021, 72(8): 4227-4238.
故障类型 | ET/s | ||
---|---|---|---|
KECA | RKECA | ORKECA | |
故障1 | 0.0374 | 0.0101 | 0.0240 |
故障2 | 0.0311 | 0.0173 | 0.0301 |
Table 1 Elapsed time of KECA,RKECA and ORKECA for numerical examples
故障类型 | ET/s | ||
---|---|---|---|
KECA | RKECA | ORKECA | |
故障1 | 0.0374 | 0.0101 | 0.0240 |
故障2 | 0.0311 | 0.0173 | 0.0301 |
故障 类型 | 检测 指标 | KPCA | MWKPCA | KECA | RKECA | ORKECA |
---|---|---|---|---|---|---|
故障1 | FAR/% FDR/% | 6.67 96.29 | 1.00 98.67 | 2.71 92.57 | 1.67 95.75 | 0 99.85 |
故障2 | FAR/% FDR/% | 6.50 97.67 | 0.67 95.71 | 1.50 93.46 | 3.00 95.37 | 0.30 99.50 |
Tab 2 False alarm rates and fault detection rates for numerical example
故障 类型 | 检测 指标 | KPCA | MWKPCA | KECA | RKECA | ORKECA |
---|---|---|---|---|---|---|
故障1 | FAR/% FDR/% | 6.67 96.29 | 1.00 98.67 | 2.71 92.57 | 1.67 95.75 | 0 99.85 |
故障2 | FAR/% FDR/% | 6.50 97.67 | 0.67 95.71 | 1.50 93.46 | 3.00 95.37 | 0.30 99.50 |
故障类型 | ET/s | ||
---|---|---|---|
KECA | RKECA | ORKECA | |
故障2 | 0.0214 | 0.0109 | 0.0197 |
故障17 | 0.0185 | 0.0093 | 0.0133 |
Table 3 Elapsed time(ET) of KECA, RKECA and ORKECA in TE process
故障类型 | ET/s | ||
---|---|---|---|
KECA | RKECA | ORKECA | |
故障2 | 0.0214 | 0.0109 | 0.0197 |
故障17 | 0.0185 | 0.0093 | 0.0133 |
故障 类型 | KPCA | MWKPCA | KECA | RKECA | ORKECA | |||||
---|---|---|---|---|---|---|---|---|---|---|
FAR/% | FDR/% | FAR/% | FDR/% | FAR/% | FDR/% | FAR/% | FDR/% | FAR/% | FDR/% | |
1 | 5.63 | 99.50 | 1.25 | 99.75 | 6.25 | 99.79 | 12.50 | 99.79 | 0 | 99.88 |
2 | 3.75 | 98.63 | 5.00 | 98.12 | 4.37 | 98.85 | 12.63 | 98.96 | 2.25 | 99.38 |
4 | 8.75 | 88.00 | 5.00 | 92.88 | 6.25 | 93.00 | 9.85 | 94.13 | 5.50 | 96.25 |
5 | 8.75 | 30.88 | 1.25 | 63.25 | 6.26 | 39.79 | 7.87 | 57.61 | 1.25 | 72.55 |
6 | 2.50 | 99.25 | 6.25 | 99.75 | 3.13 | 99.65 | 9.50 | 98.16 | 1.25 | 99.75 |
7 | 1.88 | 100.00 | 1.25 | 100 | 0.63 | 100.00 | 5.75 | 99.89 | 0.30 | 100.00 |
8 | 8.13 | 97.50 | 3.13 | 97.13 | 8.13 | 98.00 | 13.50 | 99.58 | 2.50 | 100.00 |
10 | 3.13 | 34.38 | 4.26 | 57.37 | 2.50 | 43.50 | 14.63 | 76.88 | 3.38 | 74.88 |
11 | 5.63 | 65.38 | 6.25 | 74.00 | 4.33 | 72.6 | 15.50 | 84.30 | 5.00 | 90.50 |
12 | 4.38 | 96.88 | 1.88 | 98.13 | 3.75 | 96.35 | 10.25 | 98.85 | 4.63 | 99.63 |
13 | 1.88 | 95.88 | 9.18 | 99.88 | 1.25 | 96.56 | 8.75 | 98.02 | 1.88 | 100.00 |
14 | 3.13 | 100 | 10.50 | 100.00 | 5.00 | 100.00 | 7.13 | 100.00 | 2.50 | 100.00 |
16 | 5.00 | 24.25 | 12.25 | 40.25 | 5.63 | 34.79 | 8.60 | 36.50 | 6.50 | 52.63 |
17 | 5.63 | 86.88 | 0.63 | 87.50 | 3.75 | 89.06 | 8.75 | 91.98 | 1.87 | 97.00 |
18 | 4.35 | 90.75 | 2.50 | 93.38 | 5.63 | 92.35 | 11.25 | 93.54 | 3.25 | 95.00 |
19 | 2.50 | 26.00 | 5.25 | 42.13 | 3.75 | 33.75 | 13.30 | 40.10 | 7.00 | 48.50 |
20 | 1.88 | 45.25 | 1.88 | 40.88 | 1.25 | 54.95 | 6.13 | 60.97 | 0.50 | 59.75 |
21 | 6.88 | 46.88 | 12.13 | 66.75 | 5.63 | 57.00 | 11.88 | 59.97 | 8.25 | 62.25 |
Table 4 False alarm rates and fault detection rates of 18 faults in TE process
故障 类型 | KPCA | MWKPCA | KECA | RKECA | ORKECA | |||||
---|---|---|---|---|---|---|---|---|---|---|
FAR/% | FDR/% | FAR/% | FDR/% | FAR/% | FDR/% | FAR/% | FDR/% | FAR/% | FDR/% | |
1 | 5.63 | 99.50 | 1.25 | 99.75 | 6.25 | 99.79 | 12.50 | 99.79 | 0 | 99.88 |
2 | 3.75 | 98.63 | 5.00 | 98.12 | 4.37 | 98.85 | 12.63 | 98.96 | 2.25 | 99.38 |
4 | 8.75 | 88.00 | 5.00 | 92.88 | 6.25 | 93.00 | 9.85 | 94.13 | 5.50 | 96.25 |
5 | 8.75 | 30.88 | 1.25 | 63.25 | 6.26 | 39.79 | 7.87 | 57.61 | 1.25 | 72.55 |
6 | 2.50 | 99.25 | 6.25 | 99.75 | 3.13 | 99.65 | 9.50 | 98.16 | 1.25 | 99.75 |
7 | 1.88 | 100.00 | 1.25 | 100 | 0.63 | 100.00 | 5.75 | 99.89 | 0.30 | 100.00 |
8 | 8.13 | 97.50 | 3.13 | 97.13 | 8.13 | 98.00 | 13.50 | 99.58 | 2.50 | 100.00 |
10 | 3.13 | 34.38 | 4.26 | 57.37 | 2.50 | 43.50 | 14.63 | 76.88 | 3.38 | 74.88 |
11 | 5.63 | 65.38 | 6.25 | 74.00 | 4.33 | 72.6 | 15.50 | 84.30 | 5.00 | 90.50 |
12 | 4.38 | 96.88 | 1.88 | 98.13 | 3.75 | 96.35 | 10.25 | 98.85 | 4.63 | 99.63 |
13 | 1.88 | 95.88 | 9.18 | 99.88 | 1.25 | 96.56 | 8.75 | 98.02 | 1.88 | 100.00 |
14 | 3.13 | 100 | 10.50 | 100.00 | 5.00 | 100.00 | 7.13 | 100.00 | 2.50 | 100.00 |
16 | 5.00 | 24.25 | 12.25 | 40.25 | 5.63 | 34.79 | 8.60 | 36.50 | 6.50 | 52.63 |
17 | 5.63 | 86.88 | 0.63 | 87.50 | 3.75 | 89.06 | 8.75 | 91.98 | 1.87 | 97.00 |
18 | 4.35 | 90.75 | 2.50 | 93.38 | 5.63 | 92.35 | 11.25 | 93.54 | 3.25 | 95.00 |
19 | 2.50 | 26.00 | 5.25 | 42.13 | 3.75 | 33.75 | 13.30 | 40.10 | 7.00 | 48.50 |
20 | 1.88 | 45.25 | 1.88 | 40.88 | 1.25 | 54.95 | 6.13 | 60.97 | 0.50 | 59.75 |
21 | 6.88 | 46.88 | 12.13 | 66.75 | 5.63 | 57.00 | 11.88 | 59.97 | 8.25 | 62.25 |
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