CN116625689B - Rolling bearing fault diagnosis method and system based on SMDER - Google Patents
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Abstract
Description
技术领域Technical field
本发明涉及轴承故障诊断技术领域,尤其涉及一种基于SMDER的滚动轴承故障诊断方法及系统。The present invention relates to the technical field of bearing fault diagnosis, and in particular to a rolling bearing fault diagnosis method and system based on SMDER.
背景技术Background technique
常见的滚动轴承故障诊断的方法有:振动分析法、油膜电阻监测法、声发射法、温度监测法、油液监测法、光纤信号监测法、电压电流检测法等。基于温度信号对滚动轴承进行故障诊断容易受到环境温度影响,并且只对故障后期出现的特征有较强的诊断效果。因此基于振动信号对滚动轴承进行故障诊断能够避免环境温度的干扰,具有更高的研究价值。基于振动信号对滚动轴承进行故障诊断方法有:基于信号处理的方法、基于深度学习的方法。Common rolling bearing fault diagnosis methods include: vibration analysis method, oil film resistance monitoring method, acoustic emission method, temperature monitoring method, oil monitoring method, optical fiber signal monitoring method, voltage and current detection method, etc. Fault diagnosis of rolling bearings based on temperature signals is easily affected by ambient temperature, and only has a strong diagnostic effect on features that appear later in the fault. Therefore, fault diagnosis of rolling bearings based on vibration signals can avoid the interference of ambient temperature and has higher research value. Methods for fault diagnosis of rolling bearings based on vibration signals include: signal processing-based methods and deep learning-based methods.
现有技术中MTCN网络模型提高了多种转速、变负载工况下的滚动轴承故障诊断准确率。但是轴承实际运行状态下,故障数据是逐步产生的,而MTCN网络模型是批量学习模型,当新的轴承故障数据到达后,只使用新数据训练传统批量学习模型,将会面临灾难性遗忘的问题,导致模型仅对新数据的识别效果较好,而对旧数据的识别效果差。In the existing technology, the MTCN network model improves the accuracy of rolling bearing fault diagnosis under various speeds and variable load conditions. However, under the actual operating status of the bearing, fault data is gradually generated, and the MTCN network model is a batch learning model. When new bearing fault data arrives, training the traditional batch learning model using only new data will face the problem of catastrophic forgetting. , resulting in the model only having better recognition effect on new data, but poor recognition effect on old data.
发明内容Contents of the invention
本发明所要解决的技术问题是如何提供一种能够使网络模型学习新数据后,同时对新旧数据都有较好的识别效果的滚动轴承故障诊断方法。The technical problem to be solved by the present invention is how to provide a rolling bearing fault diagnosis method that can enable the network model to learn new data and simultaneously have a good recognition effect on old and new data.
为解决上述技术问题,本发明所采取的技术方案是:一种基于SMDER的滚动轴承故障诊断方法,包括如下步骤:In order to solve the above technical problems, the technical solution adopted by the present invention is: a rolling bearing fault diagnosis method based on SMDER, which includes the following steps:
将轴承振动信号通过连续小波变换,得到原始信号的时频域特征,然后将时频域特征输入到共享模块进行处理;Pass the bearing vibration signal through continuous wavelet transform to obtain the time-frequency domain characteristics of the original signal, and then input the time-frequency domain characteristics into the shared module for processing;
将共享模块提取到的特征输入到超特征提取器进行特征提取后使用分类器进行分类处理,实现增量学习条件下的轴承故障诊断。Input the features extracted by the shared module into the super feature extractor for feature extraction and then use the classifier for classification processing to achieve bearing fault diagnosis under incremental learning conditions.
进一步的技术方案在于:所述共享模块先将小波时频图输入到共享模块的第一个卷积层进行卷积处理,然后进行批归一化BatchNorm,并使用ReLU激活函数来处理,再将得到的特征向量输入到第二个卷积层,最后进行批归一化BatchNorm;共享模块运算完成后,将得到的特征根据新增的任务不同,分别输入到每个任务的特征提取器进行处理。A further technical solution is that the shared module first inputs the wavelet time-frequency map to the first convolution layer of the shared module for convolution processing, then performs batch normalization BatchNorm, and uses the ReLU activation function to process, and then The obtained feature vector is input to the second convolution layer, and finally batch normalization is performed. After the shared module operation is completed, the obtained features are input to the feature extractor of each task for processing according to the new tasks. .
进一步的技术方案在于:所述超特征提取器包括多个特征提取器,每个特征提取器对应一个增量学习任务,其中旧特征提取器用于提取现有的数据的特征,新类到达后,冻结已有特征提取器参数,并新增一个特征提取器对新类的特征进行提取,此时所有特征提取器的组合为超特征提取器,然后将所有特征提取器提取到的特征进行拼接,即为超特征提取器提取的特征;超特征提取器的公式如式(1)所示:A further technical solution is that the super feature extractor includes multiple feature extractors, each feature extractor corresponding to an incremental learning task, in which the old feature extractor is used to extract features of existing data. After the new class arrives, Freeze the existing feature extractor parameters, and add a new feature extractor to extract the features of the new class. At this time, the combination of all feature extractors is a super feature extractor, and then the features extracted by all feature extractors are spliced. That is, the features extracted by the hyper-feature extractor; the formula of the hyper-feature extractor is as shown in Equation (1):
z=Ft(x)=[Ft-1(x),Yt(x)] (1)z=F t (x)=[F t-1 (x), Y t (x)] (1)
式中,x为共享模块输出的特征,也是超特征提取器Ft的输入;超特征提取器是由前一步的超特征提取器Ft-1和当前步新增的特征提取器Yt拼接组成;z为超特征提取器提取到的特征。In the formula, x is the feature output by the shared module and is also the input of the super feature extractor F t ; the super feature extractor is spliced by the super feature extractor F t-1 of the previous step and the new feature extractor Y t of the current step Composition; z is the feature extracted by the super feature extractor.
进一步的技术方案在于:采用可微分的通道级掩码的方法对特征提取器进行剪枝,通道级掩码和特征一起学习,在学习完掩码后,对掩码进行二值化,并对特征提取器进行剪枝,得到剪枝后的网络;通道级掩码如式(2)所示:A further technical solution is to use a differentiable channel-level mask method to prune the feature extractor. The channel-level mask and features are learned together. After learning the mask, the mask is binarized and the The feature extractor performs pruning to obtain the pruned network; the channel-level mask is shown in Equation (2):
h′l=hl⊙σ(sel) (2)h′ l =h l ⊙σ(se l ) (2)
其中h'l是剪枝后的掩码特征;hl是剪枝前的掩码特征;⊙为通道级乘法;σ为sigmoid门控函数,其取值范围为[0,1];s为缩放因子;el为掩码的参数,可在训练中进行学习。where h' l is the mask feature after pruning; h l is the mask feature before pruning; ⊙ is the channel-level multiplication; σ is the sigmoid gating function, whose value range is [0,1]; s is Scaling factor; e l is the parameter of the mask, which can be learned during training.
进一步的技术方案在于:整个网络的损失函数如式(3)所示:A further technical solution is: the loss function of the entire network is as shown in Equation (3):
式中,L为网络损失;为训练损失;λα为辅助分类器的超参数,初始值为0;/>为辅助损失;λs是控制模型大小的超参数;LS是稀疏损失。In the formula, L is the network loss; is the training loss; λ α is the hyperparameter of the auxiliary classifier, and the initial value is 0;/> is the auxiliary loss; λ s is the hyperparameter that controls the size of the model; LS is the sparse loss.
进一步的技术方案在于:分类器Ht的旧特征参数是使用的Ht-1步骤中冻结的参数,新增特征的参数随机进行初始化;将超特征提取器提取到的特征z输入到分类器Ht进行分类及预测,如式(4):The further technical solution is: the old feature parameters of the classifier H t are the parameters frozen in the H t-1 step used, and the parameters of the new features are randomly initialized; the feature z extracted by the super feature extractor is input to the classifier H t is used for classification and prediction, as shown in formula (4):
y=argmax(Softmax(Ht(z))) (4)y=argmax(Softmax(H t (z))) (4)
式中,y是最终预测的分类结果;argmax是求其自变量取得最大值的点集;Softmax为输出层的激活函数,将预测结果转化为非负数;Ht为分类器;z为超特征提取器提取的特征。In the formula, y is the final predicted classification result; argmax is the point set whose independent variable reaches the maximum value; Softmax is the activation function of the output layer, which converts the prediction result into a non-negative number; H t is the classifier; z is the super feature Features extracted by the extractor.
本发明还公开了一种基于SMDER的滚动轴承故障诊断系统,包括:The invention also discloses a SMDER-based rolling bearing fault diagnosis system, which includes:
小波变换模块,用于将轴承振动信号通过连续小波变换,得到原始信号的时频域特征图;The wavelet transformation module is used to transform the bearing vibration signal through continuous wavelet transformation to obtain the time-frequency domain characteristic map of the original signal;
共享模块,用于对输入的时频域特征图进行特征提取;The shared module is used to extract features from the input time-frequency domain feature map;
超特征提取器,包括多个特征提取器,每个特征提取器对应一个增量学习任务,其中旧特征提取器用于提取现有的数据的特征,新类到达后,冻结已有特征提取器参数,并新增一个特征提取器对新类的特征进行提取,此时所有特征提取器的组合为超特征提取器,然后将所有特征提取器提取到的特征进行拼接,即为超特征提取器提取的特征;Super feature extractor, including multiple feature extractors, each feature extractor corresponds to an incremental learning task, in which the old feature extractor is used to extract features of existing data. After the new class arrives, the parameters of the existing feature extractor are frozen. , and add a new feature extractor to extract the features of the new class. At this time, the combination of all feature extractors is a super feature extractor, and then the features extracted by all feature extractors are spliced together, which is the super feature extractor extraction. Characteristics;
分类器,用于对超特征提取器提取的特征进行分类处理,实现增量学习条件下的轴承故障诊断。The classifier is used to classify the features extracted by the super feature extractor to realize bearing fault diagnosis under incremental learning conditions.
采用上述技术方案所产生的有益效果在于:所述方法将轴承振动信号通过小波变换获取的时频域特征输入到共享模块,共享新旧数据和故障特征。然后将提取到的特征输入到超特征提取器进行特征提取后分类,实现增量学习条件下的轴承故障诊断的目的。实验结果表明,现有的增量学习模型,SMDER模型对新增故障类型识别率更高,在一定程度上解决了灾难性遗忘问题,能够使网络模型学习新数据后,同时对新旧数据都有较好的识别效果。The beneficial effect of adopting the above technical solution is that the method inputs the time-frequency domain characteristics of the bearing vibration signal obtained through wavelet transformation into the sharing module to share old and new data and fault characteristics. Then the extracted features are input to the super feature extractor for feature extraction and classification to achieve the purpose of bearing fault diagnosis under incremental learning conditions. Experimental results show that among the existing incremental learning models, the SMDER model has a higher recognition rate for new fault types, which solves the problem of catastrophic forgetting to a certain extent and enables the network model to learn new data while simultaneously recognizing both old and new data. Better recognition effect.
附图说明Description of the drawings
下面结合附图和具体实施方式对本发明作进一步详细的说明。The present invention will be described in further detail below with reference to the accompanying drawings and specific embodiments.
图1是本发明实施例所述方法中DER网络模型结构图;Figure 1 is a structural diagram of the DER network model in the method according to the embodiment of the present invention;
图2是本发明实施例所述方法的处理流程原图;Figure 2 is an original processing flow diagram of the method according to the embodiment of the present invention;
图3是本发明实施例中轴承时域信号图;Figure 3 is a time domain signal diagram of the bearing in the embodiment of the present invention;
图4是本发明实施例中经过连续小波变换后的轴承时频域信号;Figure 4 is the bearing time-frequency domain signal after continuous wavelet transformation in the embodiment of the present invention;
图5是本发明实施例中共享模块的原理框图;Figure 5 is a functional block diagram of a shared module in an embodiment of the present invention;
图6是本发明实施例中凯斯西储大学轴承实验台的实物图;Figure 6 is a physical diagram of the bearing test bench of Case Western Reserve University in an embodiment of the present invention;
图7是本发明实施例中完成新增任务后的测试集准确率曲线图;Figure 7 is a test set accuracy curve chart after completing the new tasks in the embodiment of the present invention;
图8是本发明实施例中ResNet10网络模型结构图。Figure 8 is a structural diagram of the ResNet10 network model in the embodiment of the present invention.
具体实施方式Detailed ways
下面结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明的一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention are clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some of the embodiments of the present invention, rather than all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts fall within the scope of protection of the present invention.
在下面的描述中阐述了很多具体细节以便于充分理解本发明,但是本发明还可以采用其他不同于在此描述的其它方式来实施,本领域技术人员可以在不违背本发明内涵的情况下做类似推广,因此本发明不受下面公开的具体实施例的限制。Many specific details are set forth in the following description to fully understand the present invention. However, the present invention can also be implemented in other ways different from those described here. Those skilled in the art can do so without departing from the connotation of the present invention. Similar generalizations are made, and therefore the present invention is not limited to the specific embodiments disclosed below.
本发明实施例公开了一种基于SMDER的滚动轴承故障诊断方法,包括如下步骤:The embodiment of the present invention discloses a rolling bearing fault diagnosis method based on SMDER, which includes the following steps:
将轴承振动信号通过连续小波变换,得到原始信号的时频域特征,然后将时频域特征输入到共享模块进行处理;Pass the bearing vibration signal through continuous wavelet transform to obtain the time-frequency domain characteristics of the original signal, and then input the time-frequency domain characteristics into the shared module for processing;
将共享模块提取到的特征输入到超特征提取器进行特征提取后使用分类器进行分类处理,实现增量学习条件下的轴承故障诊断。Input the features extracted by the shared module into the super feature extractor for feature extraction and then use the classifier for classification processing to achieve bearing fault diagnosis under incremental learning conditions.
下面结合相关具体内容对上述方法进行详细的说明:The above method is explained in detail below with reference to relevant specific content:
针对增量学习提出了动态可扩增网络(Dynamically ExpandableRepresentation,DER)来避免“灾难性遗忘”,该网络模型是由超特征提取器和分类器组成,DER网络模型结构如图1所示。Dynamically Expandable Representation (DER) is proposed for incremental learning to avoid "catastrophic forgetting". The network model is composed of a hyper-feature extractor and a classifier. The DER network model structure is shown in Figure 1.
超特征提取器hyperfeature extractor
超特征提取器是由多个特征提取器组成,每个特征提取器对应一个增量学习的任务。其中旧特征提取器可以提取现有的数据的特征。新类到达后,冻结已有特征提取器参数,并新增一个特征提取器对新类的特征进行提取。此时所有特征提取器的组合为超特征提取器,然后将所有特征提取器提取到的特征进行拼接,即为超特征提取器提取的特征。超特征提取器的公式如式(1)所示。The super feature extractor is composed of multiple feature extractors, and each feature extractor corresponds to an incremental learning task. The old feature extractor can extract features from existing data. After the new class arrives, the parameters of the existing feature extractor are frozen, and a new feature extractor is added to extract the features of the new class. At this time, the combination of all feature extractors is a super feature extractor, and then the features extracted by all feature extractors are spliced together, which is the feature extracted by the super feature extractor. The formula of the super feature extractor is shown in Equation (1).
z=Ft(x)=[Ft-1(x),Yt(x)] (1)z=F t (x)=[F t-1 (x), Y t (x)] (1)
式中,x为共享模块输出的特征,也是超特征提取器Ft的输入;超特征提取器是由前一步的超特征提取器Ft-1和当前步新增的特征提取器Yt拼接组成;z为超特征提取器提取到的特征。In the formula, x is the feature output by the shared module and is also the input of the super feature extractor F t ; the super feature extractor is spliced by the super feature extractor F t-1 of the previous step and the new feature extractor Y t of the current step. Composition; z is the feature extracted by the super feature extractor.
通道级掩码channel level mask
由于新增一个任务后便新增一路特征提取器,导致在任务不断新增的情况下,模型结构越来越大。因此采用了一种可微分的通道级掩码的方法对特征提取器进行剪枝。通道级掩码和特征一起学习,在学习完掩码后,对掩码进行二值化,并对特征提取器进行剪枝,得到剪枝后的网络。DER的通道级掩码是根据HAT进行改进得到的,使用整个通道的掩码代替HAT的过滤器权重的掩码,从而加大了修剪的力度。该通道级掩码作用于新增特征提取器的第一个卷积层后。通道级掩码如式(2)所示。Since a new feature extractor is added when a task is added, the model structure becomes larger and larger as tasks continue to be added. Therefore, a differentiable channel-level mask method is used to prune the feature extractor. The channel-level mask and features are learned together. After learning the mask, the mask is binarized and the feature extractor is pruned to obtain the pruned network. DER's channel-level mask is improved based on HAT. The mask of the entire channel is used instead of the mask of HAT's filter weight, thereby increasing the intensity of pruning. This channel-level mask is applied after the first convolutional layer of the new feature extractor. The channel-level mask is shown in Equation (2).
h′l=hl⊙σ(sel) (2)h′ l =h l ⊙σ(se l ) (2)
其中h'l是剪枝后的掩码特征;hl是剪枝前的掩码特征;⊙为通道级乘法;σ为sigmoid门控函数,其取值范围为[0,1];s为缩放因子;el为掩码的参数,可在训练中进行学习。where h' l is the mask feature after pruning; h l is the mask feature before pruning; ⊙ is the channel-level multiplication; σ is the sigmoid gating function, whose value range is [0,1]; s is Scaling factor; e l is the parameter of the mask, which can be learned during training.
网络损失network loss
整个网络的损失设置为交叉熵损失、辅助损失和稀疏损失之和。其中训练的损失为交叉熵损失。添加辅助损失的目的是使得网络模型能够区分新旧任务,从而使网络模型有一定的判别能力。通过添加稀疏损失来减少网络参数。因此整个网络的损失函数如式(3)所示。The loss of the entire network is set to the sum of cross-entropy loss, auxiliary loss and sparse loss. The training loss is cross-entropy loss. The purpose of adding auxiliary loss is to enable the network model to distinguish between old and new tasks, so that the network model has a certain discriminative ability. Reduce network parameters by adding sparse loss. Therefore, the loss function of the entire network is shown in Equation (3).
式中,L为网络损失;为训练损失;λα为辅助分类器的超参数,初始值为0;/>为辅助损失;λs是控制模型大小的超参数;LS是稀疏损失。In the formula, L is the network loss; is the training loss; λ α is the hyperparameter of the auxiliary classifier, and the initial value is 0;/> is the auxiliary loss; λ s is the hyperparameter that controls the size of the model; LS is the sparse loss.
分类器Classifier
分类器Ht的旧特征参数是使用的Ht-1步骤中冻结的参数,新增特征的参数随机进行初始化。将超特征提取器提取到的特征z输入到分类器Ht进行分类及预测,如式(4)所示。The old feature parameters of the classifier H t are the parameters frozen in the H t-1 step used, and the parameters of the new features are randomly initialized. The feature z extracted by the super feature extractor is input to the classifier H t for classification and prediction, as shown in Equation (4).
y=argmax(Softmax(Ht(z))) (4)y=argmax(Softmax(H t (z))) (4)
式中,y是最终预测的分类结果;argmax是求其自变量取得最大值的点集;Softmax为输出层的激活函数,将预测结果转化为非负数;Ht为分类器;z为超特征提取器提取的特征。In the formula, y is the final predicted classification result; argmax is the point set whose independent variable reaches the maximum value; Softmax is the activation function of the output layer, which converts the prediction result into a non-negative number; H t is the classifier; z is the super feature Features extracted by the extractor.
在学习到超特征后,在当前时间步使用之前所有的数据和当前新增的数据重新训练分类器,并使用平衡微调方法来处理类不平衡问题。After learning the super features, the classifier is retrained using all previous data and the current new data at the current time step, and the balanced fine-tuning method is used to deal with the class imbalance problem.
基于共享模块的动态可扩增网络(SMDER)Dynamically scalable network based on shared modules (SMDER)
在DER的基础上,增加了共享模块,提出基于共享模块的动态可扩增网络SMDER(Shared Module Dynamically Expandable Representation),SMDER的整体结构如图2所示。On the basis of DER, a shared module is added, and a dynamically expandable network SMDER (Shared Module Dynamically Expandable Representation) based on shared modules is proposed. The overall structure of SMDER is shown in Figure 2.
由图2可以看出,SMDER先将每个新任务样本经过小波变换得到小波时频图,再将各新任务得到的小波时频图输入到共享模块提取基础特征。以基础特征为起点,针对各个不同的任务进行动态网络扩增,对每个新任务都增加一个特征提取器。最后将拼接所有特征提取器的特征,使用分类器完成分类。具体步骤如下:As can be seen from Figure 2, SMDER first performs wavelet transformation on each new task sample to obtain a wavelet time-frequency diagram, and then inputs the wavelet time-frequency diagram obtained from each new task into the shared module to extract basic features. Starting from basic features, dynamic network expansion is performed for different tasks, and a feature extractor is added for each new task. Finally, the features of all feature extractors will be spliced and the classifier will be used to complete the classification. Specific steps are as follows:
首先通过连续小波变换,得到原始信号的时频域特征,然后将时频域特征输入到共享模块。以故障尺寸为0.014英寸、内圈故障的振动信号为例,原始时域信号如图3所示,经过连续小波变换后得到的时频域信号如图4所示。First, the time-frequency domain features of the original signal are obtained through continuous wavelet transform, and then the time-frequency domain features are input to the shared module. Taking the vibration signal of an inner ring fault with a fault size of 0.014 inches as an example, the original time domain signal is shown in Figure 3, and the time-frequency domain signal obtained after continuous wavelet transformation is shown in Figure 4.
由图4提取到的时频域特征可以明显地看出信号的频率及出现的时间,为后续模型扩增提供了良好的特征基础。在输入SMDER前,将时频图中与特征无关的坐标轴及能量条删去,便于网络模型进行基础特征提取。The time-frequency domain features extracted from Figure 4 can clearly see the frequency and appearance time of the signal, which provides a good feature basis for subsequent model expansion. Before inputting SMDER, delete the coordinate axes and energy bars that have nothing to do with the features in the time-frequency diagram to facilitate basic feature extraction by the network model.
其次由于振动信号提取到的时频域特征为图片的形式进行表达,并且卷积神经网络在提取图片特征有着特殊的优势,因此以卷积神经网络为基础,设计了一个共享模块来提取时频域特征作为每个任务的基础特征。该共享模块由两个卷积层、归一化操作和激活函数组成,如图5所示。Secondly, because the time-frequency domain features extracted from vibration signals are expressed in the form of pictures, and convolutional neural networks have special advantages in extracting picture features, a shared module was designed based on the convolutional neural network to extract time-frequency Domain features serve as the basic features for each task. This shared module consists of two convolutional layers, a normalization operation and an activation function, as shown in Figure 5.
共享模块先将小波时频图输入到共享模块的第一个卷积层,第一个卷积层卷积核大小为3*3,通道数为64,步长为1。然后进行批归一化BatchNorm,并使用ReLU激活函数来避免梯度爆炸和梯度消失的问题,从而缓解过拟合的问题,同时加快收敛速率。再将得到的特征向量输入到第二个卷积层,第二个卷积层的卷积核大小为3*3,通道数为32,步长为1。最后进行批归一化BatchNorm。共享模块运算完成后,将得到的特征根据新增的任务不同,分别输入到每个任务的特征提取器。由于图片数据的基础特征都类似,因此将该共享模块设置到整个网络模型的最底层。The sharing module first inputs the wavelet time-frequency image into the first convolution layer of the sharing module. The convolution kernel size of the first convolution layer is 3*3, the number of channels is 64, and the step size is 1. Then perform batch normalization BatchNorm, and use the ReLU activation function to avoid the problems of gradient explosion and gradient disappearance, thereby alleviating the problem of overfitting and speeding up the convergence rate. The obtained feature vector is then input to the second convolution layer. The convolution kernel size of the second convolution layer is 3*3, the number of channels is 32, and the stride is 1. Finally, batch normalization BatchNorm is performed. After the shared module operation is completed, the obtained features will be input to the feature extractor of each task according to the new tasks. Since the basic features of image data are similar, this shared module is set to the lowest layer of the entire network model.
相应的,本发明实施例还公开了一种基于SMDER的滚动轴承故障诊断系统,包括:Correspondingly, embodiments of the present invention also disclose a rolling bearing fault diagnosis system based on SMDER, including:
小波变换模块,用于将轴承振动信号通过连续小波变换,得到原始信号的时频域特征图;The wavelet transformation module is used to transform the bearing vibration signal through continuous wavelet transformation to obtain the time-frequency domain characteristic map of the original signal;
共享模块,用于对输入的时频域特征图进行特征提取;The shared module is used to extract features from the input time-frequency domain feature map;
超特征提取器,包括多个特征提取器,每个特征提取器对应一个增量学习任务,其中旧特征提取器用于提取现有的数据的特征,新类到达后,冻结已有特征提取器参数,并新增一个特征提取器对新类的特征进行提取,此时所有特征提取器的组合为超特征提取器,然后将所有特征提取器提取到的特征进行拼接,即为超特征提取器提取的特征;Super feature extractor, including multiple feature extractors, each feature extractor corresponds to an incremental learning task, in which the old feature extractor is used to extract features of existing data. After the new class arrives, the parameters of the existing feature extractor are frozen. , and add a new feature extractor to extract the features of the new class. At this time, the combination of all feature extractors is a super feature extractor, and then the features extracted by all feature extractors are spliced together, which is the super feature extractor extraction. Characteristics;
分类器,用于对超特征提取器提取的特征进行分类处理,实现增量学习条件下的轴承故障诊断。The classifier is used to classify the features extracted by the super feature extractor to realize bearing fault diagnosis under incremental learning conditions.
实验验证及分析Experimental verification and analysis
实验环境及相关训练参数设置见表1所示。The experimental environment and related training parameter settings are shown in Table 1.
表1实验环境及相关训练参数设置Table 1 Experimental environment and related training parameter settings
增量学习中所提到的轴承故障准确率均为平均增量准确率,即使用当前任务的训练集进行训练后得到的模型,在当前任务及之前所有任务的测试集上进行测试,最后将得到的所有任务的测试准确率取均值,即为平均增量准确率。The bearing failure accuracy mentioned in incremental learning is the average incremental accuracy, that is, the model obtained after training using the training set of the current task is tested on the test set of the current task and all previous tasks, and finally The obtained test accuracy of all tasks is averaged, which is the average incremental accuracy.
实验数据集Experimental data set
数据集为凯斯西储大学(CWRU)轴承数据集,实验台如图6所示,选取驱动端轴承故障数据,采样频率为12KHz。轴承品牌及型号为SKF 6205-2RS,转速为1 750r/min,负载为2HP。按照轴承的故障直径和故障位置分为9类,加上无故障轴承数据共10类,工况详情见表2。The data set is the Case Western Reserve University (CWRU) bearing data set. The experimental bench is shown in Figure 6. The driving end bearing fault data is selected, and the sampling frequency is 12KHz. The bearing brand and model is SKF 6205-2RS, the rotation speed is 1750r/min, and the load is 2HP. According to the fault diameter and fault location of the bearing, it is divided into 9 categories, plus the data of non-faulty bearings, there are 10 categories in total. The details of the working conditions are shown in Table 2.
表2凯斯西储大学轴承数据集所用的工况Table 2 Operating conditions used in the Case Western Reserve University bearing data set
另外实际工况中监测到数据是分批次的到达的,因此对于增量学习要设置任务的增量顺序以模拟实际运行状态,本申请中任务的顺序为(5,8,2,6,9,3,4,0,7,1)。In addition, in actual working conditions, it is detected that the data arrives in batches. Therefore, for incremental learning, the incremental sequence of tasks must be set to simulate the actual operating status. The sequence of tasks in this application is (5,8,2,6, 9,3,4,0,7,1).
网络参数设置Network parameter settings
共享模块的学习次数为1,共享模块的参数设置见表3。The number of learning times of the shared module is 1, and the parameter settings of the shared module are shown in Table 3.
表3共享模块的参数设置Table 3 Parameter settings of shared modules
Resnet18中18指的是卷积层或全连接层的个数为18,特征提取器Resnet18的参数设置见表4。The 18 in Resnet18 refers to the number of convolutional layers or fully connected layers being 18. The parameter settings of the feature extractor Resnet18 are shown in Table 4.
表4特征提取器Resnet18的参数设置Table 4 Parameter settings of feature extractor Resnet18
实验结果Experimental results
实验过程以第i个任务为例,其中i=1~10,即所有要学习的轴承数据类别:使用第i个任务的训练集对SMDER进行训练,训练完成后的模型使用第1到i个任务的测试集进行测试。测试的目的是为了证明提出的SMDER模型能够避免“灾难性遗忘”,即该模型在学习新任务的同时保证对旧任务的识别准确率。每次新增一类的条件下,新增各任务后的测试集准确率曲线图如图7所示。The experimental process takes the i-th task as an example, where i = 1 to 10, that is, all bearing data categories to be learned: SMDER is trained using the training set of the i-th task, and the model after training uses the 1 to i The test set of the task is tested. The purpose of the test is to prove that the proposed SMDER model can avoid "catastrophic forgetting", that is, the model can learn new tasks while ensuring the recognition accuracy of old tasks. Under the condition that each new category is added, the accuracy curve of the test set after adding each task is shown in Figure 7.
由图7可以看出,SMDER在前五个任务的测试集准确率都可以达到100%,新增后续5个任务的测试集的准确率保持在89%以上。实验表明,10个任务的平均增量准确率可以达到96.7%。因此SMDER网络模型在增量学习下的轴承故障诊断的准确率较高,效果较好。As can be seen from Figure 7, the accuracy of SMDER in the test set of the first five tasks can reach 100%, and the accuracy of the test set of the subsequent five tasks remains above 89%. Experiments show that the average incremental accuracy of 10 tasks can reach 96.7%. Therefore, the SMDER network model has a higher accuracy and better effect in bearing fault diagnosis under incremental learning.
消融实验ablation experiment
为了验证本申请所提出的共享模块的卷积核尺度、共享模块的通道数、共享模块的学习次数对实验结果的影响,此处进行了消融实验。该消融实验中所使用的特征提取器均为Resnet18。In order to verify the impact of the convolution kernel scale of the shared module, the number of channels of the shared module, and the number of learning times of the shared module on the experimental results proposed in this application, an ablation experiment was performed here. The feature extractors used in this ablation experiment are all Resnet18.
共享模块的通道数对实验结果的影响The impact of the number of channels of shared modules on experimental results
SMDER的共享模块共有两个卷积层,为了比较不同通道数的共享模块对轴承故障诊断精度的影响,本申请对两个卷积层分别使用(16,16)、(16,32)、(16,64)、(32,16)、(32,32)、(32,64)、(64,16)、(64,32)、(64,64)共9种不同通道数进行了实验。该实验中,共享模块的卷积核尺度为(3*3),卷积的步长为1,共享模块的学习次数为1。实验结果见表5。SMDER's shared module has two convolutional layers. In order to compare the impact of shared modules with different channel numbers on bearing fault diagnosis accuracy, this application uses (16,16), (16,32), ( A total of 9 different channel numbers were tested. In this experiment, the convolution kernel scale of the shared module is (3*3), the step size of the convolution is 1, and the number of learning times of the shared module is 1. The experimental results are shown in Table 5.
表5不同通道数(Channels)的共享模块的诊断精度Table 5 Diagnostic accuracy of shared modules with different channel numbers (Channels)
由表5可以看出,共享模块的通道数为(64,32)时,轴承故障诊断精度最高,可达96.70%;共享模块的通道数为(32,64)时,轴承故障诊断精度为96.55%。可见共享模块通道数为32/64,对轴承故障诊断精度发挥着重要的作用。It can be seen from Table 5 that when the number of channels of the shared module is (64,32), the bearing fault diagnosis accuracy is the highest, reaching 96.70%; when the number of channels of the shared module is (32,64), the bearing fault diagnosis accuracy is 96.55 %. It can be seen that the number of shared module channels is 32/64, which plays an important role in the accuracy of bearing fault diagnosis.
共享模块的卷积核尺度对实验结果的影响The impact of the convolution kernel scale of the shared module on the experimental results
为了比较不同卷积核尺度的共享模块对滚动轴承故障诊断精度的影响,分别对两个卷积层使用(1*1)、(3*3)、(5*5)共3种不同尺度的卷积核进行了实验。同时由于前述共享模块通道数实验中,共享模块两个卷积层的通道数为(64,32)和(32,64)两种情况下,轴承故障诊断精度均可达到96%以上,并且相差不大。因此实验使用这两种通道数分别和3种不同尺度的卷积核进行组合实验。该实验中,卷积的步长为1,共享模块学习次数为1。实验结果见表6。In order to compare the impact of shared modules of different convolution kernel sizes on the accuracy of rolling bearing fault diagnosis, a total of three different scales of convolutions (1*1), (3*3), and (5*5) were used for the two convolution layers. The experiments were carried out. At the same time, due to the aforementioned shared module channel number experiment, when the channel numbers of the two convolutional layers of the shared module are (64,32) and (32,64), the bearing fault diagnosis accuracy can reach more than 96%, and the difference is Not big. Therefore, the experiment uses these two channel numbers and three convolution kernels of different scales to conduct combined experiments. In this experiment, the step size of the convolution is 1, and the number of shared module learning times is 1. The experimental results are shown in Table 6.
表6不同卷积核尺度(Size)的共享模块的诊断精度Table 6 Diagnostic accuracy of shared modules with different convolution kernel scales (Size)
由表6可以看出,当卷积核尺度为(1*1)时,所耗费的训练时间最长,并且精度最低。在卷积核尺度为(5*5)时,训练时间最短,但是精度介于卷积核尺度为(1*1)和(5*5)之间。当卷积核尺度为(3*3)时,在两种共享模块通道数的条件下,轴承故障诊断精度均可达到最高。因此共享模块最优的卷积核尺度为(3*3)。As can be seen from Table 6, when the convolution kernel scale is (1*1), the training time is the longest and the accuracy is the lowest. When the convolution kernel scale is (5*5), the training time is the shortest, but the accuracy is between the convolution kernel scale (1*1) and (5*5). When the convolution kernel scale is (3*3), the bearing fault diagnosis accuracy can reach the highest under the conditions of the two shared module channel numbers. Therefore, the optimal convolution kernel scale of the shared module is (3*3).
共享模块的学习次数对实验结果的影响The impact of the number of learning times of shared modules on experimental results
为了比较共享模块不同学习次数对轴承故障诊断精度的影响,分别对共享模块使用1、2、3、4、5共5种不同学习次数进行实验。其中共享模块学习次数是指,训练共享模块的新任务个数。即使用x(x=1,2,3,4,5)个新任务训练共享模块后,将共享模块的参数进行冻结。由于前述实验中,卷积核尺度为(3*3)共享模块通道数为(64,32)、卷积核尺度为(3*3)共享模块通道数为(32,64)两种情况下,轴承故障诊断精度均可达到96%以上,并且相差不大。因此本节实验设定卷积核尺度为(3*3),使用这两种通道数分别和3种共享模块的学习次数进行组合实验,实验中卷积的步长为1,实验结果见表7。In order to compare the impact of different learning times of the shared module on the accuracy of bearing fault diagnosis, experiments were conducted using a total of 5 different learning times of 1, 2, 3, 4, and 5 for the shared module. The number of shared module learning times refers to the number of new tasks for training the shared module. That is, after using x (x=1, 2, 3, 4, 5) new tasks to train the shared module, the parameters of the shared module are frozen. Since in the aforementioned experiments, the convolution kernel scale is (3*3) and the number of shared module channels is (64,32), and the convolution kernel scale is (3*3) and the number of shared module channels is (32,64), , the bearing fault diagnosis accuracy can reach more than 96%, and there is not much difference. Therefore, the convolution kernel scale is set to (3*3) in this section of the experiment. The two channel numbers and the learning times of the three shared modules are used to conduct combined experiments. The step size of the convolution in the experiment is 1. The experimental results are shown in the table 7.
表7共享模块不同学习次数(Time)的诊断精度Table 7 Diagnostic accuracy of shared modules with different learning times (Time)
由表7可以看出,共享模块的学习次数为1时,在两种共享模块通道数的条件下,轴承故障诊断精度均可达到最高,因此共享模块最优的学习次数为1。It can be seen from Table 7 that when the learning number of the shared module is 1, the bearing fault diagnosis accuracy can reach the highest under the conditions of the two shared module channel numbers, so the optimal learning number of the shared module is 1.
共享模块通道数(64,32)相对于(32,64)生成的特征图更小,模型的复杂度更低,导致loss过大,产生梯度爆炸,导致训练失败。The feature map generated by the number of shared module channels (64,32) is smaller than that of (32,64), and the complexity of the model is lower, resulting in excessive loss, gradient explosion, and training failure.
对于学习次数(也就是训练共享模块的新任务个数)的增加,模型准确率降低的问题。第一个任务训练完后,第一个特征提取器已经对共享模块的参数进行了拟合,第二个任务继续训练共享模块时,改变了共享模块的参数,导致第一个特征提取器不能较好地拟合共享模块参数。因此,训练次数越多,精度反而降低。共享模块起到的是一个提取共有的基础特征的作用,与训练使用的新任务个数无关。As the number of learning times (that is, the number of new tasks for training shared modules) increases, the accuracy of the model decreases. After the first task is trained, the first feature extractor has fitted the parameters of the shared module. When the second task continues to train the shared module, the parameters of the shared module are changed, causing the first feature extractor to fail. Better fit of shared module parameters. Therefore, the more training times, the accuracy will decrease. The shared module plays a role in extracting common basic features, regardless of the number of new tasks used for training.
由上述消融实验结果可知,共享模块的卷积核尺度设置为(3*3)、通道数为(64,32)、学习次数设置为1时,轴承故障诊断的精度最高,可达到96.7%。It can be seen from the above ablation experiment results that when the convolution kernel scale of the shared module is set to (3*3), the number of channels is (64,32), and the number of learning times is set to 1, the accuracy of bearing fault diagnosis is the highest, reaching 96.7%.
与主流网络模型的对比分析Comparative analysis with mainstream network models
为了对比SMDER和经典的增量学习网络模型在轴承故障诊断领域的效果,分别将SMDER和基于模型结构的增量学习方法(DER)、基于回放的增量学习方法(iCaRL)、基于正则化的增量学习方法(LwF),在CWRU轴承数据集上进行故障诊断实验,实验结果见表8。In order to compare the effects of SMDER and the classic incremental learning network model in the field of bearing fault diagnosis, SMDER and the incremental learning method based on model structure (DER), the incremental learning method based on playback (iCaRL), and the regularization-based incremental learning method were respectively Incremental learning method (LwF) was used to conduct fault diagnosis experiments on the CWRU bearing data set. The experimental results are shown in Table 8.
表8同主流增量学习方法的对比分析Table 8 Comparative analysis with mainstream incremental learning methods
由表8可以看出,虽然本申请所提出的SMDER网络模型的训练时间比其他方法稍长,但是所能达到的轴承故障诊断精度最高。可见共享模块提取的时频特征的基础特征在增量学习的结构中发挥着重要的作用。It can be seen from Table 8 that although the training time of the SMDER network model proposed in this application is slightly longer than other methods, the bearing fault diagnosis accuracy that can be achieved is the highest. It can be seen that the basic features of time-frequency features extracted by the shared module play an important role in the structure of incremental learning.
模型缩减实验Model reduction experiment
由于SMDER为每个新增的任务都新增一路ResNet18作为特征提取器,随着任务不断新增,将导致整个网络模型占用内存越来越大、训练时间越来越长,因此将ResNet18中间重复出现的4个两层的卷积进行了删除,变为了ResNet10,ResNet10的网络模型结构图如图8所示。Since SMDER adds a new ResNet18 as a feature extractor for each new task, as the tasks continue to be added, the entire network model will occupy more and more memory and the training time will become longer and longer, so ResNet18 is repeated in the middle. The four two-layer convolutions that appeared were deleted and became ResNet10. The network model structure diagram of ResNet10 is shown in Figure 8.
使用缩减后的ResNet10替换ResNet18作为特征提取器的实验结果见表9。The experimental results of using the reduced ResNet10 to replace ResNet18 as the feature extractor are shown in Table 9.
表9模型缩减实验结果Table 9 Model reduction experimental results
由表9可以看出,特征提取器由ResNet18缩减到ResNet10后,轴承故障诊断精度仅仅下降了0.08%,但是训练时间却减少了29秒。As can be seen from Table 9, after the feature extractor is reduced from ResNet18 to ResNet10, the bearing fault diagnosis accuracy only drops by 0.08%, but the training time is reduced by 29 seconds.
ResNet18和ResNet10参数量对比见表10。The comparison of parameters between ResNet18 and ResNet10 is shown in Table 10.
表10 ResNet18和ResNet10参数量对比Table 10 Comparison of parameters between ResNet18 and ResNet10
由表10可以看出,ResNet10比ResNet18的参数量减少了一半以上。因此在增量学习条件下,使用ResNet10作为特征提取器,在新增每个任务时,都会减少6.3×106个参数。使用ResNet10作为特征提取器虽然会导致故障诊断精度稍有下降,但是能够减少内存空间的占用,同时减少训练时间。因此在计算资源和训练时间有限的条件下,可以考虑使用缩减后的特征提取器ResNet10。As can be seen from Table 10, the number of parameters of ResNet10 is reduced by more than half compared to ResNet18. Therefore, under incremental learning conditions, using ResNet10 as the feature extractor will reduce 6.3×10 6 parameters when adding each task. Although using ResNet10 as a feature extractor will cause a slight decrease in fault diagnosis accuracy, it can reduce memory space usage and training time. Therefore, under the conditions of limited computing resources and training time, you can consider using the reduced feature extractor ResNet10.
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