CN111580506A - Industrial process fault diagnosis method based on information fusion - Google Patents
Industrial process fault diagnosis method based on information fusion Download PDFInfo
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Abstract
The invention discloses an industrial process fault diagnosis method based on information fusion, which can solve the problem of data nonlinearity by using a data processing method of KPCA; the decision of the fault type is realized by using two machine learning methods, namely SVM based on a statistical learning theory and SOM based on an artificial neural network, and the decision result is subjected to information fusion by using a D-S evidence theory, so that the obtained final diagnosis result has higher fault diagnosis precision. The invention integrates a plurality of methods, replaces the original single method to process the fault diagnosis of the complex industrial process, and improves the multi-fault type diagnosis capability and the fault diagnosis precision.
Description
Technical Field
The invention belongs to the field of industrial process control, and particularly relates to an industrial process fault diagnosis method based on information fusion.
Background
With the development of modern production and the progress of scientific technology, modern industrial production equipment is increasingly large-scaled, complicated and automated. Because the actual industrial production process is extremely complex, the operation variables are more, and linear, nonlinear, Gaussian, non-Gaussian and other process data exist, the monitoring of the industrial process is insufficient by using a single diagnosis method, so that the faults possibly generated cannot be diagnosed, and the production safety, efficiency and product quality are possibly influenced badly. Therefore, a better diagnostic method capable of accurately pointing out the process fault problem has become one of the hot problems in the industrial process research.
The actual industrial production process has many uncertain factors and complex process, so that it is difficult to establish an accurate process model, however, a large amount of data generated in the industrial process can be analyzed and judged whether a fault occurs in the process, so a data-driven method is often used for fault diagnosis research. Machine learning, one aspect of the method, is mainly comprised of a neural network and a support vector machine. Self-organizing feature mapping, a method in neural networks, has self-learning and self-organizing capabilities that are unique advantages in the method of fault diagnosis research, but its training requires a large amount of historical sample data, making it constrained in systems where fault samples are difficult to acquire. The support vector machine is based on a statistical learning theory, has advantages in small sample fault decision, but has disadvantages in a fault system with large data scale and multiple classifications.
Due to the limitations of the above methods, a single method has not been able to accommodate all the possible problems of modern industrial practical production systems.
Disclosure of Invention
The invention aims to overcome the limitation of a single method and provide an industrial process fault diagnosis method based on information fusion.
The technical solution for realizing the purpose of the invention is as follows: an industrial process fault diagnosis method based on information fusion comprises the following steps:
(1) the method comprises the following steps that a sensor for monitoring process variables through an industrial system collects sensor data in the normal process and fault process operation of the system to form a training data set and an off-line test set, and the two sets of data sets are stored in a database;
(2) preprocessing and normalizing the training sample data set, namely, obtaining a new data set by the mean value and the variance of each process variable as 0 and 1;
(3) performing dimensionality reduction on the processed data set by using a KPCA dimensionality reduction method to obtain a dimensionality reduced data set and dimensionality reduction model parameters;
(4) training a data set after dimensionality reduction by using two methods, namely an SVM (support vector machine) and an SOM (self-organizing map), establishing different fault diagnosis models, and obtaining corresponding indexes and labels of the models;
(5) normalizing the off-line test data set, and processing by using a trained KPCA model to obtain a new off-line test data set;
(6) respectively using the trained fault diagnosis models to perform fault diagnosis on the new offline test data set to obtain fault diagnosis results and calculate a basic probability assignment function;
(7) collecting new on-line process data, preprocessing and normalizing the new on-line process data, and then processing the new on-line process data by using a dimension reduction model to obtain monitoring data;
(8) respectively diagnosing the monitoring data by using different fault diagnosis models to obtain a label of the monitoring data, and then taking a fault diagnosis result of each method as an evidence body;
(9) and (4) calculating a joint probability assignment function of the fused monitoring data according to the basic probability assignment function of the fault diagnosis result of each method by using a D-S evidence theory, and making a final decision.
Compared with the prior art, the invention has the beneficial effects that: the data processing method of KPCA used in the invention can deal with the problem of data nonlinearity; the decision of the fault type is realized by using two machine learning methods, namely SVM based on a statistical learning theory and SOM based on an artificial neural network, and the decision result is subjected to information fusion by using a D-S evidence theory, so that the obtained final diagnosis result has higher fault diagnosis precision.
Drawings
FIG. 1 is a graph of the hit of the KPCA-SOM method on TE process normal operation test data.
FIG. 2 is a graph of the hit of the KPCA-SOM method on failure 1 test data of a TE process.
FIG. 3 is a graph of the hit results of the KPCA-SOM method on the fault 12 test data of the TE process.
Fig. 4 is a graph of the results of a KPCA-SVM method diagnosing normality, faults 1 and 12 of a TE process.
Detailed Description
The invention relates to an industrial process fault diagnosis method based on information fusion, which comprises the following steps:
selecting a Kernel Principal Component Analysis (KPCA) method for data processing, using a radial basis kernel function to map original data to a high-dimensional space to obtain a kernel matrix K, then performing principal component analysis on the kernel matrix K to obtain a characteristic value and a characteristic vector of the kernel matrix K, and using cumulative variance contribution rate (c: (a)>85%) to obtain principal element number l, determining load matrix P, and finally obtaining data matrix set after dimensionality reduction
2 different fault diagnosis methods were selected, namely self-organizing feature mapping (SOM) neural networks and Support Vector Machines (SVMs):
(1) for the SOM fault diagnosis method, a better-adjusted weight vector W is obtained through iterative learningjLearning rate mu (t), field N (t) and winning neurons, and marking each neuron with a corresponding label after finishing the training of all training data to obtain an SOM fault diagnosis model;
(2) for the SVM fault diagnosis method, a training data set is established, a radial basis kernel function is selected, a Lagrange multiplier and a classification threshold value are calculated, a classification decision function is obtained, an optimal classification hyperplane is established, and an SVM fault diagnosis model is obtained.
calling different fault diagnosis methods, and calculating corresponding basic probability assignment functions, wherein the formula is as follows:
wherein the content of the first and second substances,refers to the element, m, of the ith row and the jth column in the fusion matrix of the a-th fault diagnosis methoda(Ci) Means that the a-th fault diagnosis method classifies the sample as CiThe probability value of the class is also called as a basic probability assignment function value, and G is the number of fault diagnosis methods; according to the method, the basic probability assignment function of each fault class corresponding to different methods can be calculated.
Step 7, collecting new on-line process data, preprocessing and normalizing the new on-line process data, and then processing the new on-line process data by using a dimension reduction model to obtain monitoring data;
(1) for the self-organizing feature mapping neural network method, calculating the Euclidean distance between a test sample and a weight vector, and determining a label corresponding to the best neuron matched with the closest distance as a final judgment label;
(2) for the support vector machine method, a test sample is substituted into a classification decision function to obtain a sample decision output, and the class of the label is judged according to the output value. Because the method is a binary classification method and the diagnosed fault is unknown, a judgment label is given to each binary classification model, each judgment label is used as a ticket, and voting is carried out to determine to obtain the final judgment label.
(1) and calling the diagnosis output of the two fault diagnosis methods at the same sampling moment, selecting a corresponding basic probability assignment function of the fault, and solving the final basic probability assignment function of the sample by using a D-S fusion rule:
wherein the content of the first and second substances,expressing orthogonal sums, as shown in formula (2), sets A, B and C respectively represent different fault class sets, A is the intersection of the sets B and C, k represents the joint probability assignment function value of the intersection as a set, and m is1And m2Respectively representing a first and a second fault diagnosis method, m1,2(A) Is the probability value after the two methods are fused.
(2) And assigning a function value according to the fused basic probability, and selecting the maximum corresponding fault as a final fault diagnosis result by comparing the function values.
The invention fuses a plurality of methods, namely, the information fusion method replaces the original single method to process the fault diagnosis of the complex industrial process, thereby improving the diagnosis capability of multiple fault types and the precision of the fault diagnosis.
The effectiveness of the invention is illustrated in connection with a specific industrial process example.
Examples
The data of the industrial process is from the TE (Tennessee Eastman-Tennessee-Islam) chemical process simulation experiment in the United states, and the prototype is from the actual production process of the Tennessee Eastman chemical company. The TE process is a common standard problem, which can better simulate some typical characteristics of a real complex industrial system, and therefore, is widely used for the research of typical chemical process fault diagnosis. The whole process comprises 5 main units: reactor, condenser, compressor, catch water and stripper. There are 4 reactants, 2 products, an inert component and a by-product in the entire TE process. The whole process contains 53 state variables, which are 12 manipulated variables and 41 measured variables, respectively, but only 52 state variables are actually used. Of these 41 measured variables, 22 consecutive measured variables (which the system will sample every 3 minutes) and 19 component measured variables (artificially adding noise). The whole process presets 21 faults and a normal state, and the faults comprise 16 known faults and 5 unknown faults. Wherein, the faults 1 to 7 are step type faults, the faults 8 to 12 are random variable type faults, the fault 13 is a slow migration type fault, the faults 14 and 15 bit sticky type faults, the faults 16 to 20 are unknown faults, and the fault 21 bit constant position fault. The following detailed description of the implementation steps of the present invention is made in conjunction with specific procedures:
(1) selecting Gaussian radial kernel function, selecting parameters 3000, and calculatingKernel matrix K ∈ Rn×n;
(3) Decomposing the eigenvalue of the processed kernel matrix and normalizing the eigenvector;
(4) selecting contribution degree of 85%, obtaining principal component number of 23, obtaining new training data matrix
and 5, online process diagnosis.
In order to test the effectiveness of the method, a normal sample and a fault sample are respectively tested. The 3 categories of normal, fault 1 and fault 12 are selected for fault detection, and the diagnosis results of the two fault diagnosis methods of KPCA-SOM and KPCA-SVM are shown in fig. 1, fig. 2, fig. 3 and fig. 4, respectively, wherein the test data hit neurons in fig. 1, fig. 2 and fig. 3 are represented by black box hexagons, and fig. 4 is represented by labels 0, 1 and 2, respectively, as normal, fault 1 and fault 12. It can be seen from the figure that the diagnostic result accuracy varies when different fault diagnosis methods are used for the same test data. The test data were subjected to failure diagnosis using the method of the present invention, and the comparison results are shown in table 1.
Table 1: diagnostic result comparison table of each fault diagnosis method in the invention
KPCA-SOM | KPCA-SVM | D-S | |
Is normal | 100% | 100% | 100 |
Failure | |||
1 | 88% | 84% | 90 |
Fault | |||
12 | 78% | 68% | 88% |
Synthesis of | 88.7% | 84% | 92.7% |
The result shows that compared with a single fault diagnosis method, the method provided by the invention has the advantage that the fault diagnosis performance is obviously improved.
Claims (8)
1. An industrial process fault diagnosis method based on information fusion is characterized by comprising the following steps:
(1) the method comprises the following steps that a sensor for monitoring process variables through an industrial system collects sensor data in the normal process and fault process operation of the system to form a training data set and an off-line test set, and the two sets of data sets are stored in a database;
(2) preprocessing and normalizing the training sample data set, namely, obtaining a new data set by the mean value and the variance of each process variable as 0 and 1;
(3) performing dimensionality reduction on the processed data set by using a KPCA dimensionality reduction method to obtain a dimensionality reduced data set and dimensionality reduction model parameters;
(4) training a data set after dimensionality reduction by using two methods, namely an SVM (support vector machine) and an SOM (self-organizing map), establishing different fault diagnosis models, and obtaining corresponding indexes and labels of the models;
(5) normalizing the off-line test data set, and processing by using a trained KPCA model to obtain a new off-line test data set;
(6) respectively using the trained fault diagnosis models to perform fault diagnosis on the new offline test data set to obtain fault diagnosis results and calculate a basic probability assignment function;
(7) collecting new on-line process data, preprocessing and normalizing the new on-line process data, and then processing the new on-line process data by using a dimension reduction model to obtain monitoring data;
(8) respectively diagnosing the monitoring data by using different fault diagnosis models to obtain a label of the monitoring data, and then taking a fault diagnosis result of each method as an evidence body;
(9) and (4) calculating a joint probability assignment function of the fused monitoring data according to the basic probability assignment function of the fault diagnosis result of each method by using a D-S evidence theory, and making a final decision.
2. The information fusion-based industrial process fault diagnosis method according to claim 1, wherein the step 1 specifically comprises: monitoring variable sensors through an industrial system, and acquiring sensor data in the normal process and fault process operation of the system to form a training data set: x ═ X1;x2;…;xn]Wherein X ∈ Rn×mN is the total number of training samples, m is the number of process variables, R is the set of real numbers, Rn×mRepresenting that X satisfies a two-dimensional distribution of n × m, and collecting data in the same manner as an off-line test set and storing the data in a database.
3. The information fusion-based industrial process fault diagnosis method according to claim 1, wherein the step 2 specifically comprises: calling a data set X from the database, preprocessing and normalizing, namely obtaining the mean value of each process variable as 0 and the variance as 1, and obtaining a new data set as
4. The information fusion-based industrial process fault diagnosis method according to claim 1, wherein the step 3 specifically comprises: selecting a kernel principal component analysis method for data processing, using a radial basis kernel function, mapping original data to a high-dimensional space to obtain a kernel matrix K, then performing principal component analysis on the kernel matrix K to obtain a characteristic value and a characteristic vector of the kernel matrix K, and using cumulative variance contribution rateCalculating to obtain the number l of principal elements, determining a load matrix P, and finally obtaining a data matrix set after dimension reduction
5. The information fusion-based industrial process fault diagnosis method according to claim 1, wherein the step 4 specifically comprises: two different fault diagnosis methods are selected, namely a self-organizing feature mapping neural network and a support vector machine:
for the SOM fault diagnosis method, a better-adjusted weight vector W is obtained through iterative learningjLearning rate mu (t), field N (t) and winning neurons, and marking each neuron with a corresponding label after finishing the training of all training data to obtain an SOM fault diagnosis model;
for the SVM fault diagnosis method, a training data set is established, a radial basis kernel function is selected, a Lagrange multiplier and a classification threshold value are calculated, a classification decision function is obtained, an optimal classification hyperplane is established, and an SVM fault diagnosis model is obtained.
6. The information fusion-based industrial process fault diagnosis method according to claim 1, wherein the step 6 specifically comprises:
calling different fault diagnosis methods, and calculating corresponding basic probability assignment functions, wherein the formula is as follows:
wherein the content of the first and second substances,refers to the element, m, of the ith row and the jth column in the fusion matrix of the a-th fault diagnosis methoda(Ci) Means that the a-th fault diagnosis method classifies the sample as CiThe probability value of the class is also called as a basic probability assignment function value, and G is the number of fault diagnosis methods; in accordance withAccording to the method, the basic probability assignment function of each fault class corresponding to different methods can be calculated.
7. The information fusion-based industrial process fault diagnosis method according to claim 1, wherein step 7 specifically comprises:
for the self-organizing feature mapping neural network method, calculating the Euclidean distance between a test sample and a weight vector, and determining a label corresponding to the best neuron matched with the closest distance as a final judgment label;
for the support vector machine method, a test sample is substituted into a classification decision function to obtain a sample decision output, and the class of the label is judged according to the output value; because the method is a binary classification method and the diagnosed fault is unknown, a judgment label is given to each binary classification model, each judgment label is used as a ticket, and voting is carried out to determine to obtain the final judgment label.
8. The information fusion-based industrial process fault diagnosis method according to claim 1, wherein step 9 is to calculate a joint probability assignment function of the fused monitoring data according to a basic probability assignment function of the fault diagnosis result of each method by using a D-S evidence theory, and to make a final decision, specifically:
(1) and calling the diagnosis output of the two fault diagnosis methods at the same sampling moment, selecting a corresponding basic probability assignment function of the fault, and solving the final basic probability assignment function of the sample by using a D-S fusion rule:
wherein the content of the first and second substances,expressing orthogonal sums, as shown in formula (2), sets A, B and C respectively represent different fault class sets, A is the intersection of the sets B and C, k represents the joint probability assignment function value of the intersection as a set, and m is1And m2Respectively representing a first and a second fault diagnosis method, m1,2(A) Is the probability value after the two methods are fused;
(2) and assigning a function value according to the fused basic probability, and selecting the maximum corresponding fault as a final fault diagnosis result by comparing the function values.
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