CN107478418A - A kind of rotating machinery fault characteristic automatic extraction method - Google Patents

A kind of rotating machinery fault characteristic automatic extraction method Download PDF

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CN107478418A
CN107478418A CN201710514497.2A CN201710514497A CN107478418A CN 107478418 A CN107478418 A CN 107478418A CN 201710514497 A CN201710514497 A CN 201710514497A CN 107478418 A CN107478418 A CN 107478418A
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李舜酩
王金瑞
辛玉
安增辉
王平
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Nanjing University of Aeronautics and Astronautics
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    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M13/00Testing of machine parts

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Abstract

The invention discloses a kind of rotating machinery fault characteristic automatic extraction method, the inventive method are as follows:The first step, sparseness filtering model is trained as training sample using the fault-signal collected, and obtain weight matrix, the higher-dimension fault signature of characteristic of rotating machines vibration signal is extracted by weight matrix;Second step, the visualization that fault signature is realized in dimension-reduction treatment is carried out to the high dimensional feature of acquisition using t SNE algorithms, thus fault diagnosis can be realized to unknown fault-signal according to the feature of extraction.The present invention carries out intelligent diagnostics by unsupervised learning method to fault-signal, more accurate, reasonable than existing methods.

Description

A kind of rotating machinery fault characteristic automatic extraction method
Technical field
The present invention relates to the fault vibration technology of characteristic of rotating machines vibration signal, especially a kind of rotating machinery fault feature is certainly Dynamic extractive technique.
Background technology
Vibration signal is the carrier of mechanical breakdown feature, and the vibration signal of plant equipment is analyzed, and extraction failure is special Sign, then judges that the failure of plant equipment is the common method of mechanical fault diagnosis according to fault signature.The usual work of plant equipment Make in the working environment of more vibration sources, ambient noise is strong, so the mechanical oscillation signal that scene measures is typically that strong background is made an uproar Multi -components non-stationary signal under sound, in this case, fault signature is extracted from the mechanical oscillation signal of complexity, so as to divide Just become extremely difficult from mechanical oscillation signal similar in fault mode.Therefore, in order to improve the precision of mechanical fault diagnosis and Effect, it is necessary to explore application of the new signal processing method in mechanical fault diagnosis.
With the research of machine learning, neutral net starts to attract the concern of more and more scholars.It can be by hiding Layer is automatically from signal learning to high dimensional feature, but it still needs substantial amounts of label data.It can be substituted as one kind The selection of manual designs character representation, non-supervisory feature learning are successfully applied in many on the character representation extracted The work such as image, recording and audio in.But many non-supervisory feature learning algorithms currently are very difficult, because it Need the regulations of various parameters.The feature learnt if these parameters are not provided be likely to result in one it is very poor Accuracy rate of diagnosis.These algorithms include sparse Boltzmann machine, sparse autocoder, sparse coding, independent component analysis Etc..For example sparse Boltzmann machine of the adjustable parameter of these algorithms just has up to that six kinds of parameters need to adjust, independent element point Analysis only needs to adjust a parameter, but it sets upper scale portrayal very poor for big input or feature.Ngiam etc. is proposed A kind of non-supervisory feature learning framework is referred to as sparseness filtering, and it is only absorbed in the openness and neglect studies of Optimization Learning feature The distribution situation of data, while it is very perfect to the scale portrayal for inputting dimension and only a characteristic parameter needs to adjust, because This sparseness filtering is readily adjusted and is easily achieved by a few row MATLAB codes.Author is carried out using sparseness filtering simultaneously Image recognition and Classification of Speech, all generate very perfect effect.
Simplicity and its perfect performance due to sparseness filtering, scientific research personnel propose sparseness filtering to solve rotating machinery Troubleshooting issue.Learn to be characterized in that high dimensional feature does not accomplish Visualization yet with sparseness filtering, therefore have very much High dimensional feature is mapped to low-dimensional and represented by a kind of suitable dimensionality reduction instrument of necessary choice.
The content of the invention
For the deficiency in above-mentioned technology, carried automatically based on intelligent trouble diagnosis it is an object of the invention to provide one kind The method for taking vibration signal fault signature, automatically extracting for fault signature is realized by the unsupervised learning mode of sparseness filtering, And the visualization of high dimensional feature is realized by t-SNE algorithms.
A kind of rotating machinery fault characteristic automatic extraction method proposed by the present invention comprises the following steps:
(1) sample is collected:Using original vibration signal as training sample, adopted using overlapping sampling method from training sample Collect Z segment signals, these segmentation composition training setsWhereinIt is that j-th of fragmented packets contains NinIndividual data point, Nin For representing the input dimension of sparseness filtering, NoutRepresent output dimension.
(2) albefaction:Data setWrite matrix formThen whitening pretreatment is carried out.The mesh of albefaction Be segmentation is directly reduced correlation while accelerate convergence speed.Albefaction uses the Eigenvalues Decomposition of covariance matrix:
Cov (ST)=EUET (1)
Cov (S in formulaT) it is covariance matrix, E is the orthogonal matrix of characteristic vector, and U is the diagonal matrix of characteristic value.
Then albefaction training set SwIt can be calculated as follows:
Sw=EU-1/2ETS (2)
(3) sparseness filtering is trained:Sparseness filtering model passes through by SwTraining, the weight matrix W obtained afterwards are used to calculate The local feature of training sample.
(4) local feature is calculated:Training sample xiK segmentation is divided into successively, and wherein K is integer and is equal to N/Nin。K Individual segmentation composition data setAndThen we are calculated each using the sparseness filtering model trained The local feature of sample
(5) learning characteristic is obtained:Learning characteristic fiObtained by using the method for average to combine local feature:
(6) dimension of learning characteristic is reduced:Due to the feature f of acquisitioniBe still high dimensional data, using t-SNE algorithms come Its dimension is reduced, the feature then mapped can show on scatter diagram.
The invention has the advantages that realize that the automatic of fault signature carries by the unsupervised learning mode of sparseness filtering Take, and the visualization of high dimensional feature is realized by t-SNE algorithms.
Compared with conventional method, the present invention proposes the method being combined based on sparseness filtering and t-SNE algorithms can Effective extraction fault signature simultaneously realizes visualized operation.So this method may apply to the rotating machinery vibrating system failure In diagnosis, to analyze the type for causing mechanical breakdown, state-detection and fault diagnosis of system etc. are carried out.
Brief description of the drawings
Fig. 1 is a kind of flow chart of rotating machinery fault Automatic signature extraction of the present invention;
Fig. 2 is sparseness filtering system model figure.
Embodiment
The technical scheme of invention is described in detail below in conjunction with the accompanying drawings:
Further explanation is made with reference to implementation of the accompanying drawing to the present invention.Fig. 1 is flow chart of the method for the present invention, such as Fig. 1 institutes Show, the algorithm includes following three steps.
Step 1:Original vibration signal is pre-processed, detailed process is as follows:
(1) sample is collected:Using original vibration signal as training sample, adopted using overlapping sampling method from training sample Collect Z segment signals, these segmentation composition training setsWhereinIt is that j-th of fragmented packets contains NinIndividual data point, Nin For representing the input dimension of sparseness filtering, NoutRepresent output dimension.
(2) albefaction:Data setWrite matrix formThen whitening pretreatment is carried out.The mesh of albefaction Be segmentation is directly reduced correlation while accelerate convergence speed.Albefaction uses the Eigenvalues Decomposition of covariance matrix:
Cov (ST)=EUET (1)
Cov (S in formulaT) it is covariance matrix, E is the orthogonal matrix of characteristic vector, and U is the diagonal matrix of characteristic value.So Albefaction training set S afterwardswIt can be calculated as follows:
Sw=EU-1/2ETS (2)
Step 2:To the albefaction training set S described in step 1wSparseness filtering processing is carried out, detailed process is as follows:
The signal for collection is inputted, the feature for exporting to learn.The signal collected is divided into many identical samples One training set is formed with thisWhereinIt is that a sample M is number of samples.Sample is by using weights Matrix W ∈ RN×LIt is mapped to characteristic vectorOn, as shown in Figure 2.For sparseness filtering, nonlinear characteristic is to pass through Obtained using an activation primitive to calculate, in our experiment, activation primitive uses soft-threshold function:
In formulaRepresent j-th of characteristic value of the i-th row, ε=10-8
Characteristic valueAn eigenmatrix is formed, we, which first normalize, is each characterized as equal activation value.Specific practice Be by each feature divided by its all samples two norms:
Then each row are normalized by two norms again, and so they will fall on the unit sphere of two norms .Specific practice is:
At this moment our cans optimize to the feature that these were normalized.We are punished using L1 norms to constrain It is openness.For a data set for having M sample, the object function of sparseness filtering is expressed as:
Step 3:Sparseness filtering model described in step 2 is passed through by SwTraining, the weight matrix W obtained afterwards is based on Calculate the local feature of training sample.
(1) local feature is calculated:Training sample xiK segmentation is divided into successively, and wherein K is integer and is equal to N/Nin。K Individual segmentation composition data setAndThen we are calculated each using the sparseness filtering model trained The local feature of sample
(2) learning characteristic is obtained:Learning characteristic fiObtained by using the method for average to combine local feature:
Step 4:To the feature f learnt described in step 3iIt is still high dimensional data, it is reduced using t-SNE algorithms Dimension, the feature then mapped visable representation can come out on scatter diagram.
T-SNE is a Nonlinear Dimension Reduction technology and the high dimensional data that is particularly suitable for use in carries out visualization behaviour in scatter diagram Make.This method is by defining joint probability distribution pijTo carry out estimating two feature fiAnd fjBetween similitude two-by-two, specifically do Method is as follows by symmetrical two conditional probabilities:
In superincumbent equation, gaussian kernel function σiIt need to be arranged such:The randomness of conditional probability is equal to predefined mixed Random degree.Result is gaussian kernel function σiOptimal value become very little and along with a high packing density in data space, because This σ for each input objectiOptimal value can be determined by using a simple binary search.Low Dimension space feature yiAnd yj(i.e. fiAnd fjMappings characteristics) between similitude by using a normalized heavy-tailed kernel function To estimate.Specifically, feature yiAnd yjBetween Joint Distribution pijIt is single free with one by normalizing student t distributions Spend to calculate:
The heavy-tailed permission dissmilarity feature of normalized student t distributions is modeled into farther distribution in mapping space, yiPosition by minimizing Joint Distribution qijAnd pijBetween KL divergences determine:
P and Q is p in formulaijAnd qijMatrix form.By minimizing above formula, fiAnd yiBetween become more and more similar, because This yiF can be representediFeature.
Described above is only the preferred embodiment of the present invention, it should be pointed out that:For the ordinary skill people of the art For member, under the premise without departing from the principles of the invention, some improvements and modifications can also be made, these improvements and modifications also should It is considered as protection scope of the present invention.

Claims (4)

1. a kind of rotating machinery fault characteristic automatic extraction method, it is characterized in that, this method is carried out to original vibration signal first Pretreatment, then, sparseness filtering processing is carried out to treated vibration signal, to sparseness filtering model by being trained by albefaction The weight matrix obtained afterwards is used for the local feature for calculating training sample;Dimension is finally reduced using t-SNE algorithms, makes to reflect The feature penetrated visable representation can come out on scatter diagram.
2. a kind of rotating machinery fault characteristic automatic extraction method according to claim 1, it is characterized in that, it is described to original Beginning vibration signal is pre-processed specially:
Step 1.1 collects sample:Using original vibration signal as training sample, adopted using overlapping sampling method from training sample Collect Z segment signals, the signal subsection is formed into training setWhereinIt is that j-th of fragmented packets contains NinIndividual data Point, NinFor representing the input dimension of sparseness filtering, NoutRepresent output dimension;
Step 1.2 albefaction:By data setWrite matrix formThen whitening pretreatment is carried out;It is described white Change the Eigenvalues Decomposition that processing procedure uses covariance matrix:
cov(ST)=EUET (1)
Cov (S in formulaT) it is covariance matrix, E is the orthogonal matrix of characteristic vector, and U is the diagonal matrix of characteristic value;Then albefaction Training set SwIt is calculated as follows:
Sw=EU-1/2ETS (2)
3. a kind of rotating machinery fault characteristic automatic extraction method according to claim 2, it is characterized in that, described is sparse Filter process is specially:
Step 2.1 trains sparseness filtering:Sparseness filtering model passes through by albefaction training set SwTraining, the weight matrix W obtained afterwards For calculating the local feature of training sample;
Step 2.2 calculates local feature:Training sample xiK segmentation is divided into successively, and wherein K is integer and is equal to N/Nin, K Individual segmentation composition data setAndThen we are calculated each using the sparseness filtering model trained The local feature of sample
Step 2.3 obtains learning characteristic:Learning characteristic fiObtained by using the method for average to combine local feature:
<mrow> <msup> <mi>f</mi> <mi>i</mi> </msup> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mn>1</mn> <mi>K</mi> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>K</mi> </munderover> <msubsup> <mi>f</mi> <mi>k</mi> <mi>i</mi> </msubsup> <mo>)</mo> </mrow> <mi>T</mi> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
4. a kind of rotating machinery fault characteristic automatic extraction method according to claim 1, it is characterized in that, it is described to use t- SNE algorithms are specially to reduce dimension:
Define joint probability distribution pijTo carry out estimating two feature fiAnd fjBetween similitude two-by-two, symmetrical two conditional probabilities It is as follows:
<mrow> <msub> <mi>p</mi> <mrow> <mi>i</mi> <mo>|</mo> <mi>j</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <mi>exp</mi> <mrow> <mo>(</mo> <mo>-</mo> <mo>|</mo> <mo>|</mo> <msub> <mi>f</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>f</mi> <mi>j</mi> </msub> <mo>|</mo> <msup> <mo>|</mo> <mn>2</mn> </msup> <mo>/</mo> <mn>2</mn> <msubsup> <mi>&amp;sigma;</mi> <mi>i</mi> <mn>2</mn> </msubsup> <mo>)</mo> </mrow> </mrow> <mrow> <msub> <mi>&amp;Sigma;</mi> <mrow> <mi>k</mi> <mo>&amp;NotEqual;</mo> <mi>l</mi> </mrow> </msub> <mi>exp</mi> <mrow> <mo>(</mo> <mo>-</mo> <mo>|</mo> <mo>|</mo> <msub> <mi>f</mi> <mi>k</mi> </msub> <mo>-</mo> <msub> <mi>f</mi> <mi>l</mi> </msub> <mo>|</mo> <msup> <mo>|</mo> <mn>2</mn> </msup> <mo>/</mo> <mn>2</mn> <msubsup> <mi>&amp;sigma;</mi> <mi>i</mi> <mn>2</mn> </msubsup> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>p</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>p</mi> <mrow> <mi>i</mi> <mo>|</mo> <mi>j</mi> </mrow> </msub> <mo>+</mo> <msub> <mi>p</mi> <mrow> <mi>j</mi> <mo>|</mo> <mi>i</mi> </mrow> </msub> </mrow> <mrow> <mn>2</mn> <mi>N</mi> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>
Gaussian kernel function σiThe randomness for being arranged to conditional probability is equal to predefined randomness;
In lower dimensional space, feature y is setiAnd yjAs fiAnd fjMappings characteristics, feature yiAnd yjBetween Joint Distribution pijPass through Normalization student t distributions calculate with a single-degree-of-freedom:
<mrow> <msub> <mi>q</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <mfrac> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>+</mo> <mo>|</mo> <mo>|</mo> <msub> <mi>y</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>y</mi> <mi>j</mi> </msub> <mo>|</mo> <msup> <mo>|</mo> <mn>2</mn> </msup> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mrow> <msub> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>&amp;NotEqual;</mo> <mi>l</mi> </mrow> </msub> <msup> <mrow> <mo>(</mo> <mn>1</mn> <mo>+</mo> <mo>|</mo> <mo>|</mo> <msub> <mi>y</mi> <mi>k</mi> </msub> <mo>-</mo> <msub> <mi>y</mi> <mi>l</mi> </msub> <mo>|</mo> <msup> <mo>|</mo> <mn>2</mn> </msup> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>10</mn> <mo>)</mo> </mrow> </mrow>
The heavy-tailed permission dissmilarity feature of normalized student t distributions is modeled into farther distribution, y in mapping spaceiPosition Put by minimizing Joint Distribution qijAnd pijBetween KL divergences determine:
<mrow> <mi>K</mi> <mi>L</mi> <mrow> <mo>(</mo> <mi>P</mi> <mo>|</mo> <mo>|</mo> <mi>Q</mi> <mo>)</mo> </mrow> <mo>=</mo> <munder> <mo>&amp;Sigma;</mo> <mi>i</mi> </munder> <munder> <mo>&amp;Sigma;</mo> <mi>j</mi> </munder> <msub> <mi>p</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mrow> <mo>(</mo> <mfrac> <msub> <mi>p</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>q</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mfrac> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>11</mn> <mo>)</mo> </mrow> </mrow>
P and Q is p in formulaijAnd qijMatrix form, by minimizing above formula, fiAnd yiBetween become more and more similar, therefore yi F can be representediFeature.
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CN113505830A (en) * 2021-07-09 2021-10-15 西安交通大学 Rotating machine fault diagnosis method, system, equipment and storage medium
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Application publication date: 20171215

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