CN111721536A - Rolling bearing fault diagnosis method for improving model migration strategy - Google Patents

Rolling bearing fault diagnosis method for improving model migration strategy Download PDF

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CN111721536A
CN111721536A CN202010636625.2A CN202010636625A CN111721536A CN 111721536 A CN111721536 A CN 111721536A CN 202010636625 A CN202010636625 A CN 202010636625A CN 111721536 A CN111721536 A CN 111721536A
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王庆岩
吕海岩
王玉静
康守强
谢金宝
梁欣涛
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Abstract

A rolling bearing fault diagnosis method for improving a model migration strategy belongs to the technical field of rolling bearing fault diagnosis. The method is provided for solving the problem that the distribution of the same state data in a source domain and a target domain is large in difference. Acquiring time-frequency spectrums of vibration signals of bearings of different models by utilizing wavelet transformation and constructing an image data set; selecting data of a certain model as a source domain, and selecting data of other models as a target domain; training a ResNet-34 deep convolution network by using source domain data to obtain a source domain data classification model; the implicit gradual change element learning self-adaption is utilized to determine the migration knowledge level and the knowledge content to realize the improvement of the model migration strategy, and the phenomenon that the gradient in the heterogeneous system structure is not easy to converge is avoided; introducing the migration knowledge into the data training process of the ResNet-152 convolutional neural network of the target domain to realize model migration through parameter transmission; and optimizing network parameters by adopting a random gradient descent algorithm when training the source domain network and the target domain network, and establishing fault diagnosis models of rolling bearings of different models.

Description

Rolling bearing fault diagnosis method for improving model migration strategy
Technical Field
The invention relates to a rolling bearing fault diagnosis method for improving a model migration strategy, and belongs to the technical field of rolling bearing fault diagnosis.
Background
Rolling bearing is used as key component of rotary machine, and is extensively used in industrial production, and can be used for making effective fault diagnosis so as to prevent serious accident[1]. The rolling bearings are various in types, so that training data of a certain type with labels are lacked or cannot be acquired in actual work[2]. The method has important practical significance for carrying out state recognition on the vibration signals of unknown state information under other models according to the vibration signals of the rolling bearing with known certain state information[3]
Fault diagnosis of different positions and different damage levels of rolling bearings essentially involves the identification of the operating state of the rolling bearing[4]. The traditional state identification method needs to manually extract features firstly, has rich signal processing experience and feature extraction knowledge, and selects proper features according to different fault types[5-6]. In recent years, with the research of deep learning by researchers, the fault diagnosis method begins to use the deep learning to automatically extract the required features, and overcomes the defect of manually extracting the features in the traditional method[7-8]. Document [9 ]]The rolling bearing fault diagnosis method based on the stacking automatic encoder is provided, the characteristics do not need to be extracted manually, and the influence of manual experience on a diagnosis result is greatly reduced. Document [10 ]]And the bearing fault diagnosis is realized by using the map and the sequence model of deep learning, and better fault classification precision is obtained. Document [11]The method provides the method for enhancing the input classification information by utilizing the multi-scale cascade convolution neural network, and the method is used for bearing failure under the non-steady working conditionThe barrier diagnosis has better results. Document [12 ]]Extracting features from time domain and frequency domain data of the bearing, fusing a plurality of deep features into inherent low-dimensional features through local and global principal component analysis, and realizing bearing fault diagnosis by utilizing an integrated kernel extreme learning machine. Document [13 ]]The vibration signal is converted into a spectrogram and is input into the full convolution neural network, so that the fault position and the damage degree of the bearing can be accurately identified, and the bearing has better generalization.
In actual operation, the operating load of the rolling bearing varies, and the vibration characteristics of the rolling bearing are different under different loads, which is more complicated than under a constant load. When vibration data under different loads are respectively used as training data and test data, the data distribution of the training data and the test data is different, and the diagnosis effect of the fault diagnosis method based on deep learning is reduced.
In recent years, transfer learning has received a wide attention from trainees, which can solve problems in a target domain using knowledge already existing in a source domain. Domain adaptation is a common method of transfer learning, aiming at reducing the distribution difference between the source domain and the target domain[14]. Document [15 ]]A deep Adaptation network (JAN) is provided, and distribution difference among different domain data is reduced by combining a maximum average difference criterion and aligning the Joint distribution of a plurality of cross-domain specific field layers. Document [16 ]]And providing multi-layer adaptation and multi-core maximum mean difference, and reducing mean difference among different domain data. Document [17 ]]A Joint Distribution Adaptation (JDA) method is provided, and differences between the domains are reduced by reducing Joint probability distribution distances between a source domain and a target domain. Document [18]By applying a Geodesic Flow Kernel (GFK), source domain data is aligned to target domain data step by step through a large number of intermediate subspaces, and the method has a good effect in the field of visual identification. Document [19 ]]A multi-layer multi-core variable framework based on the maximum average difference is provided, a core method is introduced to replace a high-dimensional graph of the maximum average error, the difference between data distribution of different domains is reduced to a great extent, and bearing fault diagnosis under different working conditions is realized with higher accuracy. Document [20 ]]Provides a neural network based on depth generationThe bearing fault diagnosis method can generate a forged sample for domain adaptation, solve the problem of less sample data and improve the diagnosis accuracy. Document [21 ]]The cross-domain stacking noise reduction automatic encoder with the new adaptive training strategy is provided, the advantages of domain adaptation and manifold learning are combined, fault diagnosis is carried out on gearbox and engine rolling bearing data sets under different working conditions, and high accuracy is obtained. Document [22 ]]The knowledge learned by a plurality of hidden layers of the deep convolutional network is utilized to provide a representation clustering algorithm, the intra-class distance is minimized, the inter-class distance is maximized, the maximum average difference between training data and testing data is minimized by adopting a domain adaptation method, and the robustness of the rolling bearing fault diagnosis method under different working conditions can be obviously improved. Document [23]]The method comprises the steps of constructing a domain-shared residual error network, extracting migration fault characteristics, applying domain adaptation regular term constraint in a training process, forming a deep migration diagnosis model, and performing effective fault diagnosis on mechanical equipment.
The domain adaptation method requires that some cross features exist in the source domain data and the target domain data, the source domain features and the target domain features are put into the same space through mapping, distribution differences are reduced in the mapping space, but feature mapping is difficult, and an overfitting phenomenon is easy to occur. The model migration method is to find the shared parameter information from the source domain and the target domain, and realize migration through parameter fine tuning, so that the over-fitting phenomenon can be effectively avoided. Document [24] selects output-sensitive parameters in a source domain model, freezes only the sensitive parameters during training, reduces trainable parameters and protects informational parameters, effectively prevents overfitting, adapts to a target domain through a target data volume and an optimal freezing degree, and effectively diagnoses faults of bearings of different loads. Document [25] proposes a deep migration non-negative constraint sparse automatic encoder, which combines the advantages of deep learning and migration learning, solves the problem of fault diagnosis of a rolling bearing with scarce tag data under different working conditions by using parameter transfer, and has a good effect. Document [26] proposes that the fault diagnosis of the rolling bearing is realized by utilizing AlexNet model migration, only the last full connection layer of the network model needs to be replaced to realize parameter transmission, the modeling time can be reduced, and the fault diagnosis of the rolling bearing has good effect under different working conditions.
If the same network is used for extracting the vibration characteristics of the rolling bearings with different loads, some characteristic information may be omitted, and the diagnosis effect is influenced. Document [27] maps the source domain and target domain features to the same space through different automatic encoder networks, introduces a central distance in the domain to evaluate the similarity of distribution between different domains, and realizes bearing fault diagnosis through a support vector machine, thereby having a better effect. However, in actual work, rolling bearings are various in model and a large amount of labeled vibration data under different models are difficult to obtain comprehensively, so that training data is lacked, objective difference exists among data in the same state in different domains, and the diagnosis result is not ideal or even modeling cannot be performed. Meanwhile, when the traditional model migration strategy is applied between heterogeneous architectures and tasks, the phenomenon of non-convergence is easily caused.
Disclosure of Invention
The technical problem to be solved by the invention is as follows:
the invention provides a rolling bearing fault diagnosis method for improving a model migration strategy, aiming at the problems that vibration data of a rolling bearing of a certain model is difficult to obtain comprehensively in actual work, the distribution difference of data of the same state in a source domain and a target domain is large, and the identification accuracy of different fault positions and different damage degrees is low when vibration data of rolling bearings of different models are selected in different domains.
The technical scheme adopted by the invention for solving the technical problems is as follows:
a rolling bearing fault diagnosis method for improving a model migration strategy is realized by the following steps:
(1) data selection and processing
Acquiring all state (normal state and different fault degrees of an inner ring, an outer ring and a rolling body) vibration signals of a rolling bearing with a known model, and taking the vibration signals as source domain data; using vibration signals of rolling bearings of other models with unknown specific states as target domain data; performing wavelet transformation on source domain data and target domain data and constructing a two-dimensional image data set as input of a source domain network and a target domain network;
(2) source domain network model training
Inputting the processed source domain data into a ResNet-34 network, and obtaining a source domain classification model through multiple iterative training;
(3) model migration parameter transfer
Deriving a source domain classification model, and realizing model migration and improving model migration strategies by using implicit gradual change element learning to transfer parameters
The method comprises the following steps of achieving the purpose of model migration by using implicit gradual change element learning transfer parameters, determining which layer of knowledge is migrated and what knowledge is migrated to a target domain through the weight of each layer of the network, and assisting the target domain network in training;
(4) target domain network model training and multi-state recognition
And putting the processed target domain data into a ResNet-152 network, establishing a multi-state recognition model after parameter migration by continuously and alternately updating target model parameters and meta-network parameters, obtaining a label finally labeled by the target domain, and comparing the label with a target domain data real label to obtain the accuracy of multi-state recognition so as to measure the recognition performance of the model.
Further, the process of model migration by using the implicit gradient learning transfer parameter is realized based on a model migration strategy of implicit gradient learning, wherein the model migration strategy of implicit gradient learning is as follows: learning the delivery rules, automatically considering the differences of architecture and tasks between the source domain and the target domain, without manually adjusting the delivery configuration, the meta-network will generate corresponding weights for each feature and between each pair of source network layer and target network layer together with the target network, with the main purpose of: (1) automatically deciding which feature mappings of the source domain model are useful for learning the target domain task; (2) the internal circulation process is accelerated.
Further, the weighted feature matching process of the model migration strategy of the implicit gradual change learning:
1) what is migrated
Using weighted feature matching penalties, emphasize what to migrate according to its effect on the target task:
Figure BDA0002569981900000041
in the formula, Sm(x) Is a feature map of the mth layer of the pre-trained network,
Figure BDA0002569981900000042
is a profile of the nth layer of the target network, rθIs the linear transformation of the parameter theta, H × W represents the size of the characteristic diagram of the m and n layers of the source domain network and the target domain network,
Figure BDA0002569981900000043
is a non-negative weight of channel c and
Figure BDA0002569981900000044
the channel weights are set to:
Figure BDA0002569981900000045
in the formula (I), the compound is shown in the specification,
Figure BDA0002569981900000046
a parameter representing a meta network;
2) where to migrate
When knowledge is migrated from a source domain model to a target domain model, determining that (m, n) corresponding to a network layer in the source domain model and the target domain model is important to the effectiveness of the source domain model and the target domain model, and introducing a learnable parameter for each pair of (m, n): lambda [ alpha ]m,nThe transfer quantity between the mth layer and the nth layer of the source domain model and the target domain model can be respectively determined; for each pair of (m, n) is set
Figure BDA0002569981900000047
As the output of the meta-network, automatically determining the important layer pair of the learning target task;
combining the weight omega of the channel and the weight of the matching pair lambda to obtain the weight transmission loss defined as:
Figure BDA0002569981900000048
wherein C represents a candidate pair. The final penalty for training the target model is therefore:
Figure BDA0002569981900000049
in the formula, LorgIs the initial loss, β is a hyperparameter and β > 0.
The rolling bearing fault diagnosis method can be used for multi-state identification of the rolling bearing.
The rolling bearing multi-state identification comprises identification of normal states, faults of inner rings, outer rings and rolling bodies and degradation degrees of different performances of rolling bearings of different models.
All states of the rolling bearing with a certain type comprise a normal state and different fault degrees of an inner ring, an outer ring and a rolling body.
The invention has the following beneficial technical effects: the fault diagnosis method provided by the invention improves the strategy for realizing model migration, and avoids the phenomenon of gradient non-convergence in a heterogeneous system structure. The method comprises the steps of performing wavelet transformation processing on an original time domain vibration signal to construct a two-dimensional frequency spectrum data set; training a ResNet-34 deep convolution network by using a source domain data set, introducing implicit gradual change element learning, and adaptively determining which layer of knowledge and what knowledge are transferred; putting the migrated knowledge into the process of training the ResNet-152 deep convolution network by the target domain data to realize model migration; and optimizing network parameters by adopting a random gradient descent optimization method in the training process, and realizing multi-state identification of different fault positions and damage degrees of rolling bearings of different models.
The model migration is realized by transferring parameters by implicit gradual change element learning, the migration means in the rolling bearing fault diagnosis method is changed, and the migration means in the rolling bearing fault diagnosis method is changed, so that the rolling bearing fault diagnosis method improves the improved model migration strategy.
The method solves the problems that vibration data of a rolling bearing with a certain type is difficult to acquire comprehensively in actual work, and the distribution difference of data in the same state in a source domain and a target domain is large. The method comprises the steps of obtaining time frequency spectrums of vibration signals of bearings of different models by utilizing wavelet transformation and constructing an image data set; selecting data of a certain model as a source domain, and selecting data of other models as a target domain; training a ResNet-34 deep convolution network by using source domain data to obtain a source domain data classification model; the method utilizes implicit gradual change element learning to adaptively determine the knowledge hierarchy and knowledge content to be migrated, realizes the improvement of a model migration strategy, and avoids the phenomenon that the gradient in a heterogeneous system structure is not easy to converge; introducing the migration knowledge into the data training process of the target domain ResNet-152 convolutional neural network to achieve the purpose of realizing model migration through parameter transfer; and optimizing network parameters by adopting a random gradient descent algorithm when training the source domain network and the target domain network, and establishing fault diagnosis models of rolling bearings of different models. Experiments prove that the method can realize the multi-state classification of rolling bearings of different models, and has better stability and higher accuracy. Experiments show that compared with other methods compared by the invention, the identification accuracy of the method is improved by at least 8%, and the average identification accuracy is up to 99%.
Drawings
FIG. 1 is a schematic diagram of "what is migrated";
FIG. 2 is a schematic of "where migrated";
FIG. 3 is a block diagram of a multi-state identification process for rolling bearings of different models;
FIG. 4 is a schematic of a laboratory bench;
FIG. 5 is a graph of the variation of the loss value with the number of iterations (a → B), the variation of the training accuracy with the number of iterations (B), and the variation of the verification, testing, and optimal accuracy with the number of iterations (c);
FIG. 6 is a training target domain network (A → B), in which: (a) the loss value is a graph of the change of the loss value along with the number of iterations, (b) is a graph of the change of the training accuracy along with the number of iterations, and (c) is a graph of the change of the verification, the test and the optimal accuracy along with the number of iterations;
fig. 7 shows the training target domain network (a → C), (a) shows the variation of the loss value with the number of iterations, (b) shows the variation of the training accuracy with the number of iterations, and (C) shows the variation of the verification, testing, and optimal accuracy with the number of iterations.
FIG. 8 is a graph showing the comparison between the method of the present invention and other methods.
Detailed Description
The implementation process of the rolling bearing fault diagnosis method for improving the model migration strategy is described in detail as follows with reference to the accompanying drawings:
1 Yuan learning
The meta-learning algorithm and the related theory when applied to the field of supervised learning are explained.
1.1 Yuan learning theory
Meta-learning, or learning, is a discipline of the door system that looks at how other learning methods perform over a wide range of learning tasks, learning from acquired experience or metadata, learning new tasks more quickly than other learning methods[28]. Meta-learning was first developed in cognitive psychology and is becoming a formal concept in machine learning in recent years.
Meta-learning focuses more on how to improve the learning ability of the neural network, and is widely applied to the fields of memory enhancement, gradient prediction, parameter prediction, loss prediction, attention-based task commonalities searching and the like. Roughly classified into 3 types according to the core idea:
(1) model-based meta learning
The core research idea is as follows:
pθ(y|x,S)=fθ(x,S) (1)
in the formula, S stands for meta learning, pθRepresentative probability, fθIs the probability density function, x is the input and y is the output.
(2) Metric-based meta-learning
The core research idea is as follows:
Figure BDA0002569981900000061
in the formula, kθIs a kernel function for measuring x and xiBetweenThe similarity of (c).
(3) Meta learning based on optimization
The core research idea is as follows:
pθ(y|x,S)=fθ(S)(x,S) (3)
1.2 Meta-learning Algorithm in the field of supervised learning
The small sample learning is widely concerned and researched in the field of supervised learning, and aims to perform meta-learning by means of prior knowledge of similar learning tasks and then learn new parameters from a few inputs and outputs of the tasks to be learned. For example, a learning objective may classify images according to only a few examples, but the model has learned other similar knowledge. In meta-learning, if the task obeys TiP (T), function f with model as parameter thetaθWhen learning a new task, the model parameters are changed from θ to θ'i. Updated parameter vector θ'iIn the learning task TiUp is updated by one or more gradient dips. It is vigilant that the algorithm is meta-optimized on the model parameters θ, and the meta-objective is calculated from the updated model parameters θ'. Meta-object:
Figure BDA0002569981900000062
wherein α is the learning rate when learning a new task,
Figure BDA0002569981900000063
the representative element learning function, ▽, is a gradient operator.
And when the cross-task element is updated, the updated model parameter theta' is used for calculation. A loss function is obtained:
Figure BDA0002569981900000071
if a random gradient descent algorithm is adopted, updating the model parameter theta:
Figure BDA0002569981900000072
where β is the learning rate in the meta update.
On the classification problem of supervised learning, a cross entropy loss function is often used. Cross entropy loss functional form in discrete classification task:
Figure BDA0002569981900000073
in the formula (I), the compound is shown in the specification,
Figure BDA0002569981900000074
is a model parameter, x(j)、y(j)Is from a learning task TiThe input and output of the intermediate sample.
The meta-learning algorithm flow for classifying problems in supervised learning is as follows:
Figure BDA0002569981900000075
Figure BDA0002569981900000081
model migration
The method is used for explaining the implicit gradual change meta-learning related theory and how to use meta-learning to transfer parameters so as to achieve the purpose of migration, and a new model migration method is provided.
2.1 implicit gradual metamorphic learning
Implicit gradual change meta learning is the popularization and deepening of meta learning under the background of supervised learning and is an algorithm for calculating the meta gradient[29]. Hypothesis slave learning task
Figure BDA0002569981900000082
Two disjoint sets are sampled:
Figure BDA0002569981900000083
and
Figure BDA0002569981900000084
each data is composed of K inputs and outputs, then
Figure BDA0002569981900000085
Similar thereto. The loss function is defined as a function of the parameter vector and the data set:
Figure BDA0002569981900000086
learning task TiIs aimed at using
Figure BDA0002569981900000087
Learning parameters for a particular task
Figure BDA0002569981900000088
So as to minimize the test penalty function of the learning task
Figure BDA0002569981900000089
In general two-level meta-learning, an algorithm space of learning task specific parameters, such as task T, is typically computed using a set of parameters θ and a training data set of the learning taskiThe algorithm space of (a):
Figure BDA00025699819000000810
the main objective is to generate the meta-parameters of the specific parameters after the learning parameters are updated:
Figure BDA0002569981900000091
will generally
Figure BDA0002569981900000092
Viewed as an explicit or implicit two-layer optimization problem, when performing meta-testing, use with a new task TjWhen corresponding data set is represented, parameters can be learned through the pair elements
Figure BDA0002569981900000093
An adaptive procedure is used to achieve better generalization performance. For meta-learning, Alg (θ, D) corresponds toA single or multiple gradient descent step of theta initialization, if corresponding to the single step of gradient descent, then
Figure BDA0002569981900000094
Where α is a scalar hyperparameter and can also be a learning rate
Figure BDA0002569981900000095
There is a learned induction bias that is suitable for fine tuning the learning task using K samples.
To avoid overfitting, Alg needs to incorporate some form of regularization, since meta-learning uses fewer optimal gradient steps, so the regularization algorithm:
Figure BDA0002569981900000096
where λ is the regularization strength. For convenience of writing, the definition is:
Figure BDA0002569981900000097
Figure BDA0002569981900000098
Figure BDA0002569981900000099
according to equations (8), (10), (11), (12) and (13), the two-layer optimization problem is defined as:
Figure BDA00025699819000000910
the gradient descent update is extended in meta-learning using a chain rule, which expresses:
Figure BDA00025699819000000911
in the formula (I), the compound is shown in the specification,
Figure BDA00025699819000000912
is a jacobian matrix of d × d dimensions the gradient descent update is extended using the chain rule as:
Figure BDA00025699819000000913
if it is not
Figure BDA0002569981900000101
And (3) through an iterative algorithm, calculating a forward or backward propagation derivative in an iterative process:
Figure BDA0002569981900000102
but it is very easy to cause the optimized path to go beyond memory. Therefore, the implicit Jacobian matrix is used for solving, paths do not need to be considered, only results need to be considered, and the Jacobian matrix solving process comprises the following steps:
Figure BDA0002569981900000103
for large neural networks, it is difficult to solve the solution of the jacobian matrix in equation (17), and therefore, it is considered to solve an approximation thereof. And (3) solving:
Figure BDA0002569981900000104
Figure BDA0002569981900000105
Figure BDA0002569981900000106
where, representing a constant in the approximation algorithm,' is the jacobian vector product,
Figure BDA0002569981900000107
girepresents the approximation of the element gradient of the implicit gradient element learning, and omega is the parameter of the conjugate gradient algorithm.
2.2 model migration strategy based on implicit gradual change element learning
When the difference between the source domain data and the target domain data is large and the network architecture is different, if the traditional model migration parameter fine tuning method is directly used, the gradient convergence is difficult. Documents [30] and [31] propose parameter transfer using knowledge distillation and jacobian matrix, respectively, but there is a phenomenon in which useless knowledge is transferred. Therefore, a novel parameter transfer strategy based on implicit gradual change meta learning is provided, mainly a transfer rule is learned, the difference of the architecture and the task between a source domain and a target domain is automatically considered, the transfer configuration does not need to be adjusted manually, and a meta network and a target network can generate corresponding weight for each feature and between each pair of a source network layer and a target network layer. The main purpose is:
(1) automatically deciding which feature mappings of the source domain model are useful for learning the target domain task.
(2) The internal circulation process is accelerated.
2.2.1 weighted feature matching
1) What is migrated
In migration learning, not all features of the source model are applicable to learning the target task, so consider using weighted feature matching penalties to emphasize what migrates according to their effect on the target task:
Figure BDA0002569981900000108
in the formula, Sm(x) Is a feature map of the mth layer of the pre-trained network,
Figure BDA0002569981900000109
is a profile of the nth layer of the target network, rθIs the linear transformation of the parameter theta, H × W represents the size of the characteristic diagram of the m and n layers of the source domain network and the target domain network,
Figure BDA0002569981900000111
is a non-negative weight of channel c and
Figure BDA0002569981900000112
since the important channels to be transmitted may be different from input image to input image, the channel weights are set as:
Figure BDA0002569981900000113
in the formula (I), the compound is shown in the specification,
Figure BDA0002569981900000114
parameters representing a meta-network.
The "what to migrate" operation is shown in FIG. 1.
2) Where to migrate
When migrating knowledge from a source domain model to a target domain model, it is important to determine that the source domain model corresponds to (m, n) the network layer in the target domain model for its effectiveness. A learnable parameter is thus introduced for each pair (m, n): lambda [ alpha ]m,nAnd the transfer quantity between the mth layer and the nth layer of the source domain model and the target domain model can be respectively determined to be more than or equal to 0. Further, for each pair of (m, n) is set
Figure BDA0002569981900000115
As an output of the meta-network, an importance layer pair of the learning target task is automatically determined.
Combining the weight omega of the channel and the weight of the matching pair lambda to obtain the weight transmission loss defined as:
Figure BDA0002569981900000116
wherein C represents a candidate pair. The final penalty for training the target model is therefore:
Figure BDA0002569981900000117
in the formula,LorgIs the initial loss, β is a hyperparameter and β > 0.
The "where migrated" operation is shown in FIG. 2.
3 rolling bearing multi-state identification method
The flow of the multi-state identification method for normal rolling bearings, faults of inner rings, outer rings and rolling bodies and different performance degradation degrees of rolling bearings of different models is shown in fig. 3.
The specific process steps are as follows:
(1) data selection and processing
All state (normal state and different fault degrees of an inner ring, an outer ring and a rolling body) vibration signals of a rolling bearing of a known type are obtained and are used as source domain data. And taking the vibration signals of rolling bearings of other models with unknown specific states as target domain data. And performing wavelet transformation on the source domain data and the target domain data and constructing a two-dimensional image data set as the input of a source domain network and a target domain network.
(2) Source domain network model training
The method comprises the steps of inputting processed source domain data into a ResNet-34 network by utilizing the characteristics that a residual network has typical local connection, translation, scaling and distortion of input signals have high invariance, residual blocks are not easy to be subjected to gradient disappearance and the like, and the residual network has the capability of mining high-dimensional data characteristics, and obtaining a source domain classification model through multiple iterative training.
(3) Parameter passing for model migration
And (3) deriving a source domain classification model, utilizing implicit gradual change element learning transfer parameters to achieve the purpose of model migration, determining knowledge of which layer is migrated and what knowledge is migrated to a target domain through the weight of each layer of the network, and assisting the target domain network to train.
(4) Target domain network model training and multi-state recognition
And putting the processed target domain data into a ResNet-152 network, continuously and alternately updating target model parameters and meta-network parameters, establishing a multi-state recognition model after parameter migration, and obtaining a label finally labeled by the target domain. And comparing the real label with the target domain data to obtain the accuracy of multi-state identification so as to measure the identification performance of the model.
The specific process of the implicit gradual change learning transfer parameter assisted target domain training is as follows:
Figure BDA0002569981900000121
4 application and analysis
4.1 Experimental data
The experimental data set adopts a bearing data set of the university of Kaiser West reservoir of America[32]. As shown in fig. 4, the experiment table is provided with a motor-driving-end deep groove ball bearing of the type SKF6205 and a fan-end deep groove ball bearing of the type SKF6203, and a 16-channel data recorder is used for collecting vibration signals of a rolling bearing, wherein the sampling frequency is 12 kHz.
The experiment is that under 0hp, 1hp, 2hp, 3hp different loads, gather different model antifriction bearing vibration signal, including normal condition, inner circle, rolling element, outer lane trouble, and every damage state contains 7 mils, 14 mils and 21 mils three kinds of damage degree, totally 40 kinds of states. For convenience, the failure states of the damaged diameters of the inner ring of the rolling bearing at 0hp of 7mil, 14mil and 21mil are respectively represented by 0-IR07, 0-IR14 and 0-IR21, the different failure states of the rolling elements are respectively represented by 0-B07, 0-B14 and 0-B21, the different failure states of the outer ring are respectively represented by 0-OR07, 0-OR14 and 0-OR21, the normal state is represented by 0-N, and the failure states under the other load conditions are similar to the failure states. The specific status information is shown in table 1.
TABLE 1 Experimental data State information
Figure BDA0002569981900000131
The present invention shares 3 sets of data sets as shown in table 2. Data set a is model SKF6205 rolling bearing vibration data, 300 samples for each of the 40 states, for a total of 12000 samples. Data set B is model SKF6203 rolling bearing vibration data, 300 samples for each of the 40 states, for a total of 12000 samples.
Data set C is a model 6307E rolling bearing, rotating at 680rps and sampling frequency 8.192 kHz. And 3 kinds of state data of inner ring faults, outer ring faults and normal states are obtained through experiments. 300 samples per state for a total of 900 samples.
TABLE 2 bearing test data set
Figure BDA0002569981900000132
Figure BDA0002569981900000141
According to the rolling bearing fault diagnosis problem provided by the invention, the effectiveness of the provided method is verified by adopting migration tasks such as B → A, C → A, C → B, A → B, A → C and B → C, wherein B → A represents that the knowledge of the source domain data set B is migrated to the target domain data set A (containing different damage positions and degrees). In the experiment, 5/6 in the source domain and target domain data sets were used for training, and 1/6 was used for testing. Because the state types in the data set C are few, if the data set C is used as a source domain in the migration process, the health state type of A or B needs to be set to be the same as C, and the data set C does not need to be used as a target domain.
4.2 Fault diagnosis experiment for rolling bearings of different models
The method for model migration based on the implicit gradient element learning improved model migration strategy is used for achieving fault diagnosis of rolling bearings of different models, a ResNet-34 convolution network is used as a source domain network model, ResNet-152 is used as a target domain network model, and ' knowledge of where and what ' is migrated ' is achieved through implicit gradient element learning. According to multiple experimental results and experiences, the learning rate of the convolution network is set to be 0.05, the iteration times are 50, and the initial weight is 0.9; the meta learning rate was set to 0.0001. In order to reduce the influence of random initialization to-be-trained parameters and experimental contingency on the fault diagnosis result of the rolling bearing, each group of experiments are verified repeatedly for 5 times. The experimental data set adopts A, B, C types of rolling bearing data in the table 2, and the experimental results of different migration tasks are shown in the table 3.
Table 3 experimental results of different migration tasks
Figure BDA0002569981900000142
Figure BDA0002569981900000151
From the results of the migration task a → B alone, the knowledge of the data set a can be migrated to the data set B with better results, i.e. the fault status of the rolling bearing model 6203 can be identified using the fault signature of the rolling bearing model 6205. From the results of all migration tasks, the method can effectively solve the problem of fault diagnosis of rolling bearings of different models, and the average test accuracy rate reaches more than 99%.
In order to better prove the effectiveness of the method, taking the data set a as the source domain and the data set B or C as the target domain as an example, the loss function, the training accuracy, the testing accuracy, the verification accuracy and the optimal accuracy in each iteration sample of the source domain and the target domain network are obtained by using the method, as shown in fig. 5 to fig. 7.
As can be seen from fig. 5 to 7, the source domain has a high accuracy and a stable loss function in the training process, the target domain data has a stable loss in the training and testing processes, and the testing and verifying accuracy is substantially consistent, so that the method can effectively implement fault diagnosis of rolling bearings of different models, has high accuracy and good stability, and further illustrates that the method can avoid the gradient non-convergence phenomenon in the heterogeneous system structure.
4.3 comparative experiments with other algorithms
In order to further prove that the method has great advantages in the fault diagnosis of rolling bearings of different models, a model migration method provided by JAN, DAN, JDA, GFK and a document [26] is selected for comparative experimental research. The same source domain and target domain datasets were used during the experiment. The comparative results are shown in FIG. 8.
As can be seen from fig. 8, in different migration task experiments, when the rolling bearings of different models are subjected to state classification, the average accuracy of the proposed model migration method is as high as 98%, and the accuracy is improved by at least 8% compared with the depth domain adaptation method and other model migration methods. Therefore, the model migration method based on implicit gradual change element learning can effectively solve the problem of fault diagnosis of rolling bearings of different models.
Conclusion of the invention
(1) Based on the characteristics that a residual error network has typical local connection, translation, scaling and distortion of input signals have high invariance, residual error blocks are not easy to disappear in a gradient mode and the like, and meanwhile, by means of the advantage that wavelet transformation has obvious information local characteristics, deep features of rolling bearings of different models are extracted, and a network classification model after source domain and parameter migration is trained and generated.
(2) Based on the characteristics of memory, improvement of neural network learning ability and easiness in convergence of implicit gradient element learning, the model migration method for improving transfer parameters by utilizing implicit gradient element learning is provided, and the self-adaption determination of the knowledge level and the knowledge content is achieved through training of a source domain network and a meta-learning network. And migrating the knowledge based on the parameters to a target domain network with a structure different from that of the source domain network, so that heterogeneous model migration is realized, and the phenomena of omission of characteristic information and gradient non-convergence are avoided.
(3) By utilizing a new model migration strategy, the distribution difference between the source domain characteristics and the target domain characteristics is reduced, and the problems that labeled data is scarce and even cannot be acquired and the fault states of rolling bearings of different models are classified are solved. Experiments show that compared with other methods compared by the invention, the identification accuracy of the method is improved by at least 8%, and the average identification accuracy is up to 99%.
The experimental study on the vibration data of the rolling bearing is already carried out in the experiment, and the experiment on the vibration tested on site is not carried out, which is the important point of the future work.
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Claims (6)

1. A rolling bearing fault diagnosis method for improving a model migration strategy is characterized by comprising the following implementation processes:
(1) data selection and processing
Acquiring all state vibration signals of a rolling bearing with a known model, and taking the vibration signals as source domain data; using vibration signals of rolling bearings of other models with unknown specific states as target domain data; performing wavelet transformation on source domain data and target domain data and constructing a two-dimensional image data set as input of a source domain network and a target domain network;
(2) source domain network model training
Inputting the processed source domain data into a ResNet-34 network, and obtaining a source domain classification model through multiple iterative training;
(3) model migration parameter transfer
Deriving a source domain classification model, and transferring parameters by using implicit gradual change element learning to realize model migration and improve a model migration strategy;
the method comprises the following steps of achieving the purpose of model migration by using implicit gradual change element learning transfer parameters, determining which layer of knowledge is migrated and what knowledge is migrated to a target domain through the weight of each layer of the network, and assisting the target domain network in training;
(4) target domain network model training and multi-state recognition
And putting the processed target domain data into a ResNet-152 network, establishing a multi-state recognition model after parameter migration by continuously and alternately updating target model parameters and meta-network parameters, obtaining a label finally labeled by the target domain, and comparing the label with a target domain data real label to obtain the accuracy of multi-state recognition so as to measure the recognition performance of the model.
2. The method for diagnosing the fault of the rolling bearing with the improved model migration strategy according to claim 1, wherein the process of model migration by using the implicit gradient learning transfer parameter is realized based on the model migration strategy of the implicit gradient learning, and the model migration strategy of the implicit gradient learning is as follows: learning the delivery rules, automatically considering the differences of architecture and tasks between the source domain and the target domain, without manually adjusting the delivery configuration, the meta-network will generate corresponding weights for each feature and between each pair of source network layer and target network layer together with the target network, with the main purpose of: (1) automatically deciding which feature mappings of the source domain model are useful for learning the target domain task; (2) the internal circulation process is accelerated.
3. The method for diagnosing the fault of the rolling bearing with the improved model migration strategy according to claim 2, wherein the weighting feature matching process of the model migration strategy with the implicit gradual change element learning comprises the following steps:
1) what is migrated
Using weighted feature matching penalties, emphasize what to migrate according to its effect on the target task:
Figure FDA0002569981890000011
in the formula, Sm(x) Is a feature map of the mth layer of the pre-trained network,
Figure FDA0002569981890000012
is a profile of the nth layer of the target network, rθIs the linear transformation of the parameter theta, H × W represents the size of the characteristic diagram of the m and n layers of the source domain network and the target domain network,
Figure FDA0002569981890000021
is a non-negative weight of channel c and
Figure FDA0002569981890000022
the channel weights are set to:
Figure FDA0002569981890000023
in the formula (I), the compound is shown in the specification,
Figure FDA0002569981890000024
a parameter representing a meta network;
2) where to migrate
When knowledge is migrated from a source domain model to a target domain model, determining that (m, n) corresponding to a network layer in the source domain model and the target domain model is important to the effectiveness of the source domain model and the target domain model, and introducing a learnable parameter for each pair of (m, n): lambda [ alpha ]m,nThe transfer quantity between the mth layer and the nth layer of the source domain model and the target domain model can be respectively determined; for each pair of (m, n) is set
Figure FDA0002569981890000025
As the output of the meta-network, automatically determining the important layer pair of the learning target task;
combining the weight omega of the channel and the weight of the matching pair lambda to obtain the weight transmission loss defined as:
Figure FDA0002569981890000026
wherein C represents a candidate pair. The final penalty for training the target model is therefore:
Figure FDA0002569981890000027
in the formula, LorgIs initial loss, β is hyperparametric and β>0。
4. The method for diagnosing the fault of the rolling bearing with the improved model migration strategy as claimed in claim 1, 2 or 3, wherein the method for diagnosing the fault of the rolling bearing can perform multi-state identification of the rolling bearing.
5. The method for diagnosing the fault of the rolling bearing with the improved model migration strategy according to claim 4, wherein the multi-state identification of the rolling bearing comprises identification of faults and degradation degrees of different performances of normal states, inner rings, outer rings and rolling bodies of rolling bearings of different models.
6. The method for diagnosing the fault of the rolling bearing with the improved model migration strategy as claimed in claim 1 or 5, wherein all the states of the rolling bearing with a certain model comprise a normal state and different fault degrees of an inner ring, an outer ring and a rolling body.
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