Fault Diagnosis of Batch Reactor Using Machine Learning Methods

Table 3

Extracted features from 𝑄_𝑟 residual.

Class	Area	Mean	StdDev	𝑋	𝑌	𝑋𝑀	𝑌𝑀	Major	Minor	Feret	IntDen	Skew	Kurt	fArea	RawIntDen
FAULT1	534465	249.98	35.42	664.5	316.5	665.70	316.24	1127.25	603.68	1133.23	133605465	−6.915	45.815	98.031	133605465
FAULT1	539648	250.32	34.22	665.0	309.0	665.69	309.18	1119.35	613.83	1131.37	135084975	−7.177	49.512	98.165	135084975
FAULT1	547120	251.61	29.18	660.5	297.0	661.54	298.30	1102.42	631.89	1126.11	137664045	−8.507	70.364	98.673	137664045
FAULT2	502824	251.41	30.01	662.0	320.5	662.89	320.61	1110.32	576.60	1108.77	126418800	−8.258	66.195	98.595	126418800
FAULT2	511160	251.48	29.74	665.5	317.0	666.39	317.07	1109.19	586.75	1112.06	128548050	−8.338	67.519	98.621	128548050
FAULT2	543240	250.56	33.35	669.0	308.0	670.12	308.25	1135.14	609.32	1141.76	136114410	−7.379	52.455	98.259	136114410
FAULT2	543510	250.41	33.90	663.0	323.5	664.15	323.40	1117.09	619.48	1132.03	136100130	−7.25	50.569	98.2	136100130
FAULT2	506430	251.20	30.87	660.5	317.0	661.91	316.95	1120.48	575.47	1116.31	127218225	−8.014	62.225	98.512	127218225
FAULT3	522080	250.93	31.93	670.0	318.0	670.70	318.60	1132.89	586.75	1130.67	131008800	−7.731	57.766	98.406	131008800
FAULT3	524365	250.23	34.54	662.5	312.5	663.83	312.87	1122.73	594.65	1125.94	131211780	−7.105	48.477	98.129	131211780
FAULT3	523566	250.79	32.46	659.0	311.5	660.66	312.11	1112.58	599.16	1119.89	131309190	−7.596	55.699	98.352	131309190
FAULT3	525616	250.86	32.20	662.0	311.0	663.03	311.28	1114.83	600.29	1122.12	131858715	−7.661	56.687	98.378	131858715
FAULT4	493968	249.85	35.83	661.0	327.0	659.53	327.48	1110.32	566.44	1104.65	123422550	−6.828	44.626	97.984	123422550
FAULT4	516780	248.75	39.41	663.0	315.0	659.90	315.50	1117.09	589.01	1119.18	128551365	−6.153	35.855	97.551	128551365
FAULT4	490539	249.15	38.15	662.5	320.5	661.50	321.48	1113.71	560.80	1105.06	122220990	−6.377	38.662	97.708	122220990
FAULT4	503296	250.23	34.53	660.5	324.0	659.05	324.92	1109.19	577.73	1108.34	125941950	−7.108	48.527	98.131	125941950
FAULT5	514485	250.00	35.35	665.5	315.5	664.09	317.53	1127.25	581.11	1123.93	128622000	−6.931	46.035	98.04	128622000
FAULT5	502892	250.90	32.05	662.0	322.5	661.35	323.34	1114.83	574.34	1111.40	126178590	−7.701	57.302	98.394	126178590
FAULT5	520676	250.65	33.01	664.0	316.5	663.56	315.26	1114.83	594.65	1119.76	130508235	−7.46	53.659	98.295	130508235
FAULT5	515840	250.95	31.86	664.0	318.0	662.58	318.58	1119.35	586.75	1120.02	129452025	−7.748	58.039	98.413	129452025
FAULT5	519024	234.86	68.76	668.5	312.0	670.91	312.67	1109.19	595.78	1115.82	121902750	−3.123	7.753	92.106	121902750
FAULT6	518000	241.43	57.22	654.0	323.0	658.45	321.11	1128.37	584.50	1126.19	125065515	−3.983	13.86	94.682	125065515
FAULT6	517443	244.00	51.79	654.5	313.5	660.61	316.44	1124.99	585.62	1123.99	126258915	−4.499	18.238	95.688	126258915
FAULT6	524160	244.89	49.74	657.0	321.0	664.89	318.61	1137.406	586.75	1134.22	128365215	−4.72	20.281	96.038	128365215