A soft sensor method and system based on vine copula
A soft measurement and variable technology, applied in the field of soft measurement, can solve problems such as lack of information and affect the effect of soft measurement, and achieve the effects of avoiding information loss, good regression prediction ability, and reducing complexity
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Embodiment 1
[0098] The present invention discloses a complex chemical process soft-sensing method based on vine copula correlation modeling, and the specific steps are as follows:
[0099] [Step S1]: Select appropriate auxiliary variables for the soft sensor model according to actual industrial production conditions and expert knowledge.
[0100] [Step S2]: Obtain the transformed data conforming to copula modeling by using the monotone transformation method.
[0101] See formula (1) for the zero-mean standardization of the original data
[0102]
[0103] in,
[0104] x i is the variable before transformation, X i ′ is the variable after zero-mean standardization, u(X i ) is the variable X i mean of , var(X i ) is the variable X i Variance. Define the monotone transformation form, see formula (2):
[0105] Z i =(1-α i )X i '+α i x r 'i=(1,2,...,d) (2)
[0106] in
[0107] Z i is the variable after rolling pin transformation, X r ' is the reference variable, α i is the...
Embodiment 2
[0155] The description of the following examples will help to understand the present invention, but does not limit the content of the present invention. see figure 2 , the present embodiment realizes the prediction (PER) of the degree of ethylene cracking in the ethylene cracking process. The data of this implementation example comes from the SRT-III model ethylene cracking furnace, and the prediction target is the ethylene cracking rate, which is determined by PER (propylene / ethylene ratio) Said that 500 sets of data under normal working conditions were selected, 400 sets were used to train the copula model, and 100 sets were used for testing.
[0156] (1) According to the prior information, four auxiliary variables are selected: the average outlet temperature of the cracking furnace x 1 ;Density x of the pyrolysis feedstock 2 Total Feed x 3 and steam hydrocarbon ratio x 4 . The target variable y is the lysis depth index PER.
[0157] (2) Data preprocessing: standardiz...
Embodiment 3
[0163] see Figure 4 , this embodiment realizes the prediction of the concentration of butane at the bottom of the debutanizer tower, the data of this implementation example comes from the process of the debutanizer tower, the prediction target is the butane concentration at the bottom of the debutanizer tower, and the normal working condition is selected Of the 2000 sets of data, 1000 sets are used to train the copula model and 1000 are used for testing.
[0164] (1) According to the prior information, 7 auxiliary variables are selected: top temperature x 1 , top pressure x 2 , top return flow x 3 , the outflow of the top product x 4 , the temperature of the 6th tray x 5 , bottom temperature 1x 6 , bottom temperature 2x 7 , and put x 6 and x 7 merged into x 6 =(x 6 +x 7 ) / 2, the leading variable is the bottom butane concentration y.
[0165] (2) Data preprocessing: standardize the zero mean value of the training samples, and select the last one-dimensional auxilia...
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