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Fig. 3. Percentage of variance captured by PCs
faults as described previously, and were used for testing the performance of the
proposed PCA and SVM method.
In the first stage, a PCA monitoring model was produced using the recorded
fault-free data set. First, the number of PCs that can describe the variance
of data was determined. Fig.3 shows the percentage of variance captured by
each PC with a dashed line representing 5% of the variance limit. The variance
captured by some PCs which was less than 5% can be considered as the irrelevant
information. This PCA approach thus compressed the variation incorporated in
the 12 process variables to 5 PCs, which were capable of capturing 97.3% in
average for seven fault groups.
After the PCA model was established, a new data set with a certain kind of
fault was estimated using the model. The confidential control limits for T 2 and
Q statistics were 95%, and the monitoring chart was plotted in Fig.4.
Fig. 4. Monitoring chart for faulty signals
 
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