A Method of Industrial Process Fault Diagnosis
A fault diagnosis, industrial process technology, applied in instruments, testing/monitoring control systems, control/regulating systems, etc., to solve problems such as inability to guarantee the accuracy of diagnostic results, difficulty in obtaining, and pollution
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Embodiment 1
[0092] In embodiment 1, the Monte Carlo (Monte Carlo) numerical simulation example is specifically described as:
[0093]
[0094] where x * is the sample under normal working conditions, ζ 1 ,ζ 2 and ζ 3 are three latent variable signals with a mean of 0 and standard deviations of 1, 0.8, and 0.6, and ε is white noise with a mean of 0 and a standard deviation of 0.2, denoted as A total of 3000 normal samples form the training set;
[0095] Express the fault samples to be tested in the following general form:
[0096] x t =x * +ξ i f i
[0097] In Example 1, ξ 1,3 =[1 0 1 0 0 0] T , f 1,3 =6×10 -6 ×t 2 , (t=1,2,...1200), a total of 1200 fault samples to be tested are generated.
[0098] Using the fault diagnosis method provided in this embodiment, the specific process of fault diagnosis for the above-mentioned Monte Carlo numerical simulation example is as follows:
[0099] (1) For the sample set matrix under normal working conditions Perform normalizatio...
Embodiment 2
[0108] Embodiment 2 adopts the same training set of 3000 normal samples as in Embodiment 1, and changes the fault direction vector and fault amplitude of the fault samples to be tested, namely ξ 4 =[0 0 0 1 0 0] T , f 4 =10 -5 ×q 2 , (q=1,2,...1000), a total of 1000 fault samples to be tested are generated. The specific process of carrying out fault diagnosis to embodiment 2 is the same as embodiment 1, image 3 (a), image 3 (b), image 3 (c) respectively shows the diagnosis results of the contribution graph method, the method based on the maximum a posteriori probability and the fault diagnosis method provided by the present invention in Embodiment 2.
[0109] Figure 4 (a) and Figure 4 (b) shows the different fluctuation ranges of the feature value when the process variable is selected by the reconstruction contribution value and the relative reconstruction contribution value respectively; Figure 4 (a) is the nRBC i (x t ) as a characteristic quantity, the val...
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