CN111428386A - Elevator traction machine rotor fault diagnosis information fusion method based on complex network - Google Patents

Elevator traction machine rotor fault diagnosis information fusion method based on complex network Download PDF

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CN111428386A
CN111428386A CN202010320015.1A CN202010320015A CN111428386A CN 111428386 A CN111428386 A CN 111428386A CN 202010320015 A CN202010320015 A CN 202010320015A CN 111428386 A CN111428386 A CN 111428386A
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CN111428386B (en
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徐晓滨
胡家豪
章振杰
王琪冰
茹晓英
侯平智
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Hangzhou Dianzi University
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Abstract

The invention relates to an elevator traction machine rotor fault diagnosis information fusion method based on a complex network. The correlation of the characteristic parameters is obtained by calculating the Pearson coefficients among the characteristic parameters, and the characteristic parameters are grouped according to the strength of the correlation; respectively calculating the similarity between sample data vectors according to the fault sample data of each group, and constructing a fault data complex network; acquiring a likelihood belief table and a reference center vector of each group by using a complex network community division method, and further acquiring corresponding reference evidence; and respectively activating the diagnostic evidences of each group aiming at the fault characteristic vector acquired on line, carrying out evidence fusion by using a Dempster combination rule, and making a fault decision by using the fused evidences to obtain a fault type corresponding to the on-line fault characteristic data. The invention carries out fusion reasoning of fault diagnosis evidence on the basis of a complex network and effectively improves the fault diagnosis precision of the elevator traction machine rotor by utilizing multi-source diagnosis information.

Description

Elevator traction machine rotor fault diagnosis information fusion method based on complex network
Technical Field
The invention relates to a complex network-based elevator traction machine rotor fault diagnosis information fusion method, and belongs to the technical field of elevator equipment state monitoring and fault diagnosis.
Background
The tractor is the power equipment of the elevator, is composed of a motor, a brake, a coupling, a reduction gearbox, a traction sheave, a frame and the like, and has the function of conveying and transmitting power to enable the elevator to normally run. Because the running working conditions of the elevator are complex and changeable, and uncertain factors in the installation, operation and maintenance processes are added, the traction machine serving as an elevator heart has frequent faults, the safe running of the elevator is influenced, even safety accidents are caused, and casualties and economic losses are caused. Therefore, it is imperative to monitor the state of the hoisting machine and accurately and efficiently diagnose the root cause of the failure.
The existing elevator traction machine mostly adopts a permanent magnet synchronous gearless traction machine, which comprises a machine base, a stator, a rotor body, a brake and the like, wherein the permanent magnet is fixed on the inner wall of the rotor body, the rotor body is arranged on a shaft through a key, and the shaft is arranged on a bilateral sealing deep groove ball bearing on a rear machine base and a self-aligning roller bearing on a front machine base. Identifying faults by vibration signals is a common mechanical equipment diagnosis strategy. During the operation of the traction machine, a plurality of components vibrate, and how to effectively utilize the vibration signals is the key for realizing accurate fault diagnosis. Considering the relevance and diversity among the collected vibration signal sample data, if such characteristics of the data can be deeply mined and utilized, the effectiveness of the diagnosis result must be improved.
As an emerging theoretical tool, the complex network can effectively model and analyze the incidence relation between entities (data), and provides support for solving the problem of data incidence analysis. Meanwhile, the information fusion method can properly dispose diversified data through integration of multi-source diagnosis data. Therefore, the invention provides an elevator traction machine rotor fault diagnosis information fusion method based on a complex network.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides an elevator traction machine rotor fault diagnosis information fusion method based on a complex network.
The correlation of the characteristic parameters is obtained by calculating the Pearson coefficients among the characteristic parameters, and the characteristic parameters are grouped according to the strength of the correlation; respectively calculating the similarity between sample data vectors according to the fault sample data of each group, and constructing a fault data complex network; acquiring a likelihood belief table and a reference center vector of each group by using a complex network community division method, and further acquiring corresponding reference evidence; the method comprises the steps of respectively activating diagnosis evidences of all groups aiming at fault feature vectors acquired on line, carrying out evidence fusion by using Dempster combination rules, making a fault decision by using the fused evidences, and obtaining a fault type corresponding to the on-line fault feature data.
The invention provides an elevator traction machine rotor fault diagnosis information fusion method based on a complex network, which comprises the following steps:
(1) setting a fault set theta of an elevator traction machine rotor as F1,…,Fi,…,FN|i=1,2,…,N},FiAnd (3) representing the ith fault in the fault set theta, wherein N is the number of the fault modes contained in the elevator traction machine rotor.
(2) Let f1,i,f2,iAnd f3,iTo be able to reflect each fault F in the set of faults ΘiThe characteristic parameters are acceleration signals and are respectively provided by acceleration sensors at the fan end, the motor base and the motor shell driving end;
will f is1,i,f2,i,f3,iAnd FiExpressed as a set of samples Mi={[f1,i,f2,i,f3,iFi]|t=1,2,3,…,SiIn which [ f)1,i(t),f2,i(t),f3,i(t),Fi]Is a sample vector, SiIndicates that the fault is FiSample data in the State, and denoted FiNumber of samples in state, take SiNot less than 100; respectively sampling sample data under each fault state and expressing the sample data in a set form
Figure BDA0002461009260000021
In total, a number of samples can be obtained,
Figure BDA0002461009260000022
| M | represents the number in the set M.
(3) Will fail FiSample data f acquired in state1,i(t)、f2,i(t) and f3,i(t) is expressed as a sample set Mi′={[f1,i(t),f2,i(t),f3,i(t)]|t=1,2,…,SiRespectively sampling sample data in each fault state, and expressing the sample data in a set form
Figure BDA0002461009260000023
Satisfy | M | ═ M |)i′|,|Mi' | denotes the set Mi' number of elements in.
(4) Carrying out correlation analysis on the sample fault characteristic parameters, and specifically calculating as follows:
Figure BDA0002461009260000024
two characteristic parameters with larger Pearson coefficients are grouped into the same group and marked as GAThe characteristic parameters with less correlation are classified into another group, which is marked as GB
(5) For two groups of characteristic data G obtained in the step (4)AAnd GBRespectively constructing data complex network NetAAnd NetBDescribed in similarity matrices A and B, ai,j,bi,jAre elements in the matrices A and B, respectively, representing the sample x in each set of feature dataiAnd xjDistance d betweeni,jIs defined as formula (2):
ai,j=exp(-15×di,j),bi,j=exp(-15×di,j) (2)
in the formula (d)i,jUsing the euclidean distance metric, the similarity of the samples themselves is defined as 0, i.e., a when i ═ ji,j=0,bi,j=0。
(6) The complex network Net of data is divided by using the complex network community division principleAAnd NetBIs divided into K1And K2Class, is marked as
Figure BDA0002461009260000031
Including M sample vectors
Figure BDA0002461009260000032
To obtain K1Class-corresponding sample Qk1={[f1,k1(uk1),f2,k1(uk1),f3,k1(uk1),Fk1(uk1)]|uk1=1,2,…,Uk1},Uk1Represents Tk1Number of sample vectors in class, with Qk1∈M,
Figure BDA0002461009260000033
Figure BDA0002461009260000034
Fk1(uk1) ∈ theta, and can be formed from K1Obtaining K corresponding to the sample set M by taking the mean value of each sample-like vector1A reference center vector, which may be denoted as Ck1=[ck1,1,ck1,2,ck1,3]Wherein K1 is 1,2, …, K1
The same can put the sample vector in M into
Figure BDA0002461009260000035
In (b) to obtain K2Class-corresponding sample Qk2={[f2,k2(uk2),f2,k2(uk2),f3,k2(uk2),Fk2(uk2)]|uk2=1,2,…,Uk2},Uk2Represents Tk2Number of sample vectors in class, with Qk2∈M,
Figure BDA0002461009260000036
Fk2(uk2) ∈ theta, and can be formed from K2Obtaining K corresponding to the sample set M by taking the mean value of each sample-like vector2A reference center vector, which may be denoted as Ck2=[ck2,1,ck2,2,ck2,3]Wherein K2 is 1,2, …, K2
(7) F obtained according to the step (2), the step (3), the step (5) and the step (6)iAnd Tk1、Tk2The relational table shown in Table 1 and Table 2 is constructed to show FiAnd Tk1、FiAnd Tk2The corresponding relation between the two; n is a radical ofk1,i、Nk2,iRespectively represents Tk1、Tk2The sample set corresponding to the class has a fault FiIn combination with
Figure BDA0002461009260000037
And
Figure BDA0002461009260000038
and
Figure BDA0002461009260000039
wherein N is more than or equal to 0k1,i、Nk2,i≤Si
TABLE 1FiAnd Tk1Table of corresponding relationship between
Figure BDA00024610092600000310
TABLE 2FiAnd Tk2Table of corresponding relationship between
Figure BDA0002461009260000041
(8) According to the corresponding relation table obtained in the step (7), when the fault is FiWhen the sample data is classified into the k1 and k2, the likelihood function is:
Figure BDA0002461009260000042
and is provided with
Figure BDA0002461009260000043
Then the reference evidence of the i-th type fault corresponding to the k1 and k2 types can be defined as:
Figure BDA0002461009260000044
obtaining two parts of fault diagnosis reference evidence as
ep1=[ep1,1,ep1,2,…,ep1,N],ep2=[ep2,1,ep2,2,…,ep2,N](5)
Constructing likelihood confidence tables as shown in tables 3 and 4 to describe Tk1、Tk2And FiThe relationship between them.
TABLE 3Tk1Similar confidence table
Figure BDA0002461009260000045
TABLE 4Tk2Similar confidence table
Figure BDA0002461009260000046
Figure BDA0002461009260000051
(9) When the online monitoring obtains the fault characteristic parameter vector X (t) ═ f at the moment t1,i(t),f2,i(t),f3,i(t)]Thereafter, an importance weight w of the evidence is definedkDescription of evidence ekRespectively solving the fault characteristic parameter vector and K according to the relative importance of the fault characteristic parameter vector and other evidences1、K2A reference center vector
Figure BDA0002461009260000056
And normalizing the Euclidean distance to obtain the Disk1And Disk2The calculation is as follows:
Figure BDA0002461009260000052
definition of wk1=Disk1,wk2=Disk2
(10) Using importance weights w of evidencekTo activate the reference evidence epThe calculation is as follows:
ep_1=wk1*ep1=[ep1,1′,ep1,2′,…,ep1,N′],
ep_2=wk2*ep2=[ep2,1′,ep2,2′,…,ep2,N′](7)
e is to bep_1、ep_2Respectively carrying out normalization to obtain diagnosis evidence ep1′、ep2′。
(11) Combining rule pairs e by Dempsterp1′、ep2' fusion is performed, and the fused diagnosis results are:
Figure BDA0002461009260000053
in the formula m1、m2Let reference evidence m for two quality functions defined on Θ1=ep1′,m2=ep2' definition
Figure BDA0002461009260000054
As a function of the combined mass,
Figure BDA0002461009260000055
indicating that Dempster combination rules may be applied to two or more quality functions, A, B,C is a fault type mode;
the diagnostic evidence after fusion was:
ep=[m(1),m(2),…,m(N)](9)
wherein m (1), m (2), m (N) respectively represent the failure type F after fusion and normalization1、F2、FNAnd (7) reliability.
(12) Using the diagnostic evidence e obtained in step (11)pAnd diagnosing the fault of the elevator traction machine rotor: e.g. of the typepF corresponding to the maximum confidence valueiNamely the fault mode of the real fault characteristic parameter vector X (t).
In summary, the method comprises the steps of firstly determining a fault set and fault characteristic parameters of an elevator traction machine rotor, and respectively sampling sample data in each fault state to obtain a fault characteristic data sample set; the correlation of the characteristic parameters is obtained by calculating Pearson coefficients among the characteristic parameters, and the characteristic parameters are grouped according to the strength of the correlation; respectively calculating the similarity between sample data vectors according to the fault sample data of each group, and constructing a fault data complex network; acquiring a likelihood belief table and a reference center vector of each group by using a complex network community division method, and further acquiring corresponding reference evidence; and respectively activating the diagnostic evidences of each group aiming at the fault characteristic vector acquired on line, carrying out evidence fusion by using a Dempster combination rule, and making a fault decision by using the fused evidences to obtain a fault type corresponding to the on-line fault characteristic data. The program (compiling environment Matlab) compiled by the method can run on a monitoring computer, and is combined with hardware such as a sensor, a data collector and the like to form an online monitoring system for carrying out real-time monitoring and fault diagnosis on the rotor state of the elevator traction machine.
The invention has the beneficial effects that: 1. grouping the characteristic data by calculating a Pearson coefficient, so that the constructed complex network community is more accurate; 2. the acquired reference central point is more accurate by using the complex network community division, so that the acquisition of the reference evidence is more convenient and faster; 3. and defining the Euclidean distance from the sample vector to the community center as the evidence weight, thereby solving the defect of manually setting the evidence weight in the prior art.
Drawings
FIG. 1 is a block flow diagram of the method of the present invention.
Fig. 2 is a diagram of an elevator machine rotor fault diagnostic system.
Fig. 3 is a block diagram of an elevator traction machine rotor fault diagnosis system in an example of the method of the present invention.
Detailed Description
The invention relates to an elevator traction machine rotor fault diagnosis information fusion method based on a complex network, the flow chart of which is shown in figure 1, and the method comprises the following steps:
(1) setting a fault set theta of an elevator traction machine rotor as F1,…,Fi,…,FN|i=1,2,…,N},FiAnd (3) representing the ith fault in the fault set theta, wherein N is the number of the fault modes contained in the elevator traction machine rotor.
(2) Let f1,i,f2,iAnd f3,iTo be able to reflect each fault F in the set of faults ΘiThe characteristic parameter is an acceleration signal, and the acceleration signals are respectively provided by acceleration sensors at the fan end, the motor base and the motor shell driving end, and f is measured by a sensor1,i,f2,i,f3,iAnd FiExpressed as a set of samples Mi={[f1,i,f2,i,f3,iFi]|t=1,2,3,…,SiIn which [ f)1,i(t),f2,i(t),f3,i(t),Fi]Is a sample vector, SiIndicates that the fault is FiSample data in the State, and denoted FiNumber of samples in state, take SiNot less than 100; respectively sampling sample data under each fault state and expressing the sample data in a set form
Figure BDA0002461009260000071
In total, a number of samples can be obtained,
Figure BDA0002461009260000072
| M | represents the number in the set M.
(3) Will fail FiIn the state of obtainingSample data f taken1,i(t)、f2,i(t) and f3,i(t) is expressed as a sample set Mi′={[f1,i(t),f2,i(t),f3,i(t)]|t=1,2,…,SiRespectively sampling sample data in each fault state, and expressing the sample data in a set form
Figure BDA0002461009260000073
Satisfy | M | ═ M |)i′|,|Mi' | denotes the set Mi' number of elements in.
(4) Carrying out correlation analysis on the sample fault characteristic parameters, and specifically calculating as follows:
Figure BDA0002461009260000074
two characteristic parameters with larger Pearson coefficients are grouped into the same group and marked as GAThe characteristic parameters with less correlation are classified into another group, which is marked as GB
(5) For two groups of characteristic data G obtained in the step (4)AAnd GBRespectively constructing data complex network NetAAnd NetBDescribed in similarity matrices A and B, ai,j,bi,jAre elements in the matrices A and B, respectively, representing the sample x in each set of feature dataiAnd xjDistance d betweeni,jIs defined as formula (2):
ai,j=exp(-15×di,j),bi,j=exp(-15×di,j) (2)
in the formula (d)i,jUsing the euclidean distance metric, the similarity of the samples themselves is defined as 0, i.e., a when i ═ ji,j=0,bi,j=0。
(6) The complex network Net of data is divided by using the complex network community division principleAAnd NetBIs divided into K1And K2Class, is marked as
Figure BDA0002461009260000075
Including M sample vectors
Figure BDA0002461009260000076
To obtain K1Class-corresponding sample Qk1={[f1,k1(uk1),f2,k1(uk1),f3,k1(uk1),Fk1(uk1)]|uk1=1,2,…,Uk1},Uk1Represents Tk1Number of sample vectors in class, with Qk1∈M,
Figure BDA0002461009260000077
Figure BDA0002461009260000078
Fk1(uk1) ∈ theta, and can be formed from K1Obtaining K corresponding to the sample set M by taking the mean value of each sample-like vector1A reference center vector, which may be denoted as Ck1=[ck1,1,ck1,2,ck1,3]Wherein K1 is 1,2, …, K1
The same can put the sample vector in M into
Figure BDA0002461009260000079
In (b) to obtain K2Class-corresponding sample Qk2={[f2,k2(uk2),f2,k2(uk2),f3,k2(uk2),Fk2(uk2)]|uk2=1,2,…,Uk2},Uk2Represents Tk2Number of sample vectors in class, with Qk2∈M,
Figure BDA00024610092600000710
Fk2(uk2) ∈ theta, and can be formed from K2Obtaining K corresponding to the sample set M by taking the mean value of each sample-like vector2A reference center vector, which may be denoted as Ck2=[ck2,1,ck2,2,ck2,3]Wherein K2 is 1,2, …, K2
(7) F obtained according to the step (2), the step (3), the step (5) and the step (6)iAnd Tk1、Tk2The relational table shown in Table 1 and Table 2 is constructed to show FiAnd Tk1、FiAnd Tk2The corresponding relation between the two; n is a radical ofk1,i、Nk2,iRespectively represents Tk1、Tk2The sample set corresponding to the class has a fault FiIn combination with
Figure BDA0002461009260000081
And
Figure BDA0002461009260000082
and
Figure BDA0002461009260000083
wherein N is more than or equal to 0k1,i、Nk2,i≤Si
TABLE 1FiAnd Tk1Table of corresponding relationship between
Figure BDA0002461009260000084
TABLE 2FiAnd Tk2Table of corresponding relationship between
Figure BDA0002461009260000085
For the convenience of understanding the correspondence table shown in table 1 and table 2, this is exemplified here. The elevator traction machine rotor shown in fig. 2 has 3 failure modes F (N)i: eccentric F of tractor rotor1Imbalance of the rotor of the traction machine F2Loosening of parts of tractor rotor F3Then the fault set Θ is { F ═ F1,F2,F3Their common characteristic parameter f1,i,f2,iAnd f3,iAnd vibration signals are provided for acceleration sensors mounted at the fan end, the motor base and the motor housing drive end. Get S1=600,S2=300,S3Obtaining sample data in each fault state through the step (2), wherein the total sample data is 1020 sample data, and the step (3) and the step (4) can be implementedCalculate f1、f2、f3Has a Pearson coefficient of r (f)1,f2)=0.0202,r(f1,f3)=-0.0907,r(f2,f3) When the expression is-0.1092, it is known that2And f3Has strong correlation, can convert f2、f3Composition feature data GA,f1Is another set of characteristic data GBObtaining Net through the calculation of the step (5)AAnd NetBNet is performed by the step (6)AIs divided into 4 communities with the community center of C11=[0.0162,-0.115,0.0023],C12=[-0.0256,0.0196,0.064],C13=[0.0129,0.1764,-0.0044],C14=[-0.0191,0.0358,-0.0324]The samples in M are classified as T in Table 1 in step (6)1、T2、T3、T4Will NetBIs divided into 6 communities with the community center of C21=[-0.0272,-0.0407,0.002],C22=[-0.0695,0.0028,0.006],C23=[0.0542,0.0286,0.008],C24=[1.6053,0.0178,0.031],C25=[-0.2823,0.0438,0.0023],C26=[-0.6934,0.0225,0.0119]The samples in M are classified as T in Table 2 in step (6)1、T2、T3、T4、T5、T6As follows:
TABLE 3FiAnd Tk1Table of corresponding relationship between
Figure BDA0002461009260000091
TABLE 4FiAnd Tk2Table of corresponding relationship between
Figure BDA0002461009260000092
(8) According to the corresponding relation table obtained in the step (7), when the fault is FiWhen the sample data is classified into the k1 and k2, the likelihood function is:
Figure BDA0002461009260000093
and is provided with
Figure BDA0002461009260000094
Then the reference evidence of the i-th type fault corresponding to the k1 and k2 types can be defined as:
Figure BDA0002461009260000095
obtaining two parts of fault diagnosis reference evidence as
ep1=[ep1,1,ep1,2,…,ep1,N],ep2=[ep2,1,ep2,2,…,ep2,N](5)
Constructing likelihood confidence tables as shown in tables 3 and 4 to describe Tk1、Tk2And FiThe relationship between them.
TABLE 5Tk1Similar confidence table
Figure BDA0002461009260000101
TABLE 6Tk2Similar confidence table
Figure BDA0002461009260000102
For the convenience of understanding the correspondence table shown in table 5 and table 6, the description is given here by way of example. According to the corresponding relation table obtained in the step (7), the current fault state is obtained as F according to the formula (4) in the step (8)iTime is put in Table 51、T2、T3、T4Likelihood function value of class
Figure BDA0002461009260000103
Figure BDA0002461009260000104
Figure BDA0002461009260000105
T in Table 61、T2、T3、T4、T5、T6The likelihood function value of a class is
Figure BDA0002461009260000106
Figure BDA0002461009260000107
Figure BDA0002461009260000108
Obtaining the fault F by the formula (4) in the step (8)1Evidence ep1,1=[0.331,0.167,0.361,0.141]T,ep2,1=[0.223,0.31,0.257,0,0.2083,0.0017]TSimilarly, F can be obtained2、F3Corresponding reference evidence of failure ep1,2=[0.397,0.113,0.383,0.107]T,ep1,3=[0.283,0.192,0.442,0.083]T,ep2,2=[0.17,0.283,0.153,0.007,0.32,0.067]T,ep2,3=[0.092,0.333,0.117,0.0167,0.283,0.158]TMeanwhile, likelihood confidence tables such as table 7 and table 8 can be constructed to describe class Tk1、Tk2And FiThe relationship between:
TABLE 7Tk1Similar confidence table
Figure BDA0002461009260000111
TABLE 8Tk2Similar confidence table
Figure BDA0002461009260000112
(9) When the online monitoring obtains the fault characteristic parameter vector X (t) ═ f at the moment t1,i(t),f2,i(t),f3,i(t)]Thereafter, an importance weight w of the evidence is definedkDescription of evidence ekRespectively solving the fault characteristic parameter vector and K according to the relative importance of the fault characteristic parameter vector and other evidences1、K2A reference center vector
Figure BDA0002461009260000113
And normalizing the Euclidean distance to obtain the Disk1And Disk2The calculation is as follows:
Figure BDA0002461009260000114
definition of wk1=Disk1,wk2=Disk2
(10) Using importance weights w of evidencekTo activate the reference evidence epThe calculation is as follows:
Figure BDA0002461009260000115
e is to bep_1、ep_2Respectively carrying out normalization to obtain diagnosis evidence ep1′、ep2′。
(11) Combining rule pairs e by Dempsterp1′、ep2' fusion is performed, and the fused diagnosis results are:
Figure BDA0002461009260000121
in the formula m1、m2Let reference evidence m for two quality functions defined on Θ1=ep1′,m2=ep2' definition
Figure BDA0002461009260000122
As a function of the combined mass,
Figure BDA0002461009260000123
indicating that the Dempster combination rule may act on two or more quality functions, A, B, C being fault type patterns;
the diagnostic evidence after fusion was:
ep=[m(1),m(2),…,m(N)](9)
wherein m (1), m (2), m (N) respectively represent the failure type F after fusion and normalization1、F2、FNAnd (7) reliability.
(12) Using the diagnostic evidence e obtained in step (11)pAnd diagnosing the fault of the elevator traction machine rotor: e.g. of the typepF corresponding to the maximum confidence valueiNamely the fault mode of the real fault characteristic parameter vector X (t).
In order to deepen the importance weight w corresponding to the sample vector X (t)kIt is understood that the fault characteristic parameter vector x (t) ═ 1 at the time of online acquisition is [0.0421,0.1695, -0.0864]Substituting the above into formula (6) in step (9) to obtain the fault characteristic vectors x (t) and K at the time when t is equal to 11、K2The Euclidean distance between the central vectors is normalized to obtain the importance weight wk1=[0.2045,0.1139,0.2911,0.3905],wk2=[0.2345,0.0884,0.4876,0.0527,0.0835,0.053]Obtaining the reference evidence e after activation through formula (7) in the step (10)p_1′=[0.2471,0.2473,0.2409],ep_2′=[0.2225,0.1704,0.1409]. Normalized to obtain ep1′=[0.3362,0.3369,0.3269],ep2′=[0.4168,0,3192,0.264]. E obtained in step (10)p1' and ep2' substitution of equation (8) into step (11) yields fused diagnostic evidence ep=[0.4155,0.3230,0.2615]And diagnosing the fault of the elevator traction machine rotor: e.g. of the typepF corresponding to m (1) with maximum confidence coefficient value1Namely the fault mode of the real fault characteristic parameter vector X (t).
The embodiments of the present invention will be described in detail below with reference to the accompanying drawings:
the flow chart of the method of the invention is shown in figure 1, and the core part is as follows: calculating Pearson coefficients of the characteristic parameters to obtain the correlation of the characteristic parameters, and grouping the characteristic parameters according to the strength of the correlation; respectively calculating the similarity between sample data vectors according to the fault sample data of each group, and constructing a fault data complex network; acquiring a likelihood belief table and a reference center vector of each group by using a complex network community division method, and further acquiring corresponding reference evidence; and respectively activating the diagnostic evidences of each group aiming at the fault characteristic vector acquired on line, carrying out evidence fusion by using a Dempster combination rule, and making a fault decision by using the fused evidences to obtain a fault type corresponding to the on-line fault characteristic data.
The steps of the method of the present invention will be described in detail below with reference to the preferred embodiment of the elevator machine rotor fault diagnosis system of fig. 2.
1. Example of setting up simulation experiment table of elevator traction device
As shown in the structure diagram of the elevator traction machine rotor fault diagnosis system in fig. 3, the vibration acceleration sensors are respectively installed at the drive end of the motor housing, the fan end and the motor base to collect vibration signals, the vibration signals collected by the three sensors are transmitted to the HG-8902 data collection box, processed by the signal conditioning circuit, and finally output to the monitoring computer through the a/D converter, and then the time domain vibration acceleration signals of the elevator traction machine rotor are obtained as fault characteristic signals by using HG-8902 data analysis software in L beyond view environment.
2. Elevator traction machine rotor fault setting and fault characteristic parameter selection
According to the specific characteristics of the experiment table, 3 typical failure modes are respectively set on the experiment table: the rotor of the traction machine is eccentric, the rotor of the traction machine is unbalanced, and parts of the rotor of the traction machine are loosened. And collecting vibration signals as fault characteristic parameters by mounting the vibration signals at a motor shell driving end, a fan end and a motor base.
3. Correlation analysis, complex network community division and corresponding relation table construction
Get S1=600,S2=300,S3Obtaining sample data in each fault state through the step (2), wherein the total sample data is 1020 sample data, and f can be calculated through the steps (3) and (4)1、f2、f3Has a Pearson coefficient of r (f)1,f2)=0.0202,r(f1,f3)=-0.0907,r(f2,f3) When the expression is-0.1092, it is known that2And f3Has strong correlation, can convert f2、f3Composition feature data GA,f1Is the characteristic data GBCalculating to obtain Net through the step (5)AAnd NetBNet is performed by the step (6)ADivided into 4 communities, community center C11=[0.0162-0.115,0.0023],C12=[-0.0256,0.0196,0.064],C13=[0.0129,0.1764,-0.0044],C14=[-0.0191,0.0358,-0.0324]. The samples in M are classified into T in Table 1 in step (6) in the same way1、T2、T3、T4Will NetBIs divided into 6 communities with the community center of C21=[-0.0272,-0.0407,0.002],C22=[-0.0695,0.0028,0.006],C23=[0.0542,0.0286,0.008],C24=[1.6053,0.0178,0.031],C25=[-0.2823,0.0438,0.0023],C26=[-0.6934,0.0225,0.0119]The samples in M are classified as T in Table 2 in step (6)1、T2、T3、T4、T5、T6
As follows:
TABLE 9FiAnd Tk1Table of corresponding relationship between
Figure BDA0002461009260000141
TABLE 10FiAnd Tk2Table of corresponding relationship between
Figure BDA0002461009260000142
5. Constructing a likelihood belief table and obtaining diagnostic evidence
According to the corresponding relation table obtained in the step (7), when the fault state is F, the formula (4) in the step (8) can obtainiTime is put in Table 51、T2、T3、T4The likelihood function value of a class is
Figure BDA0002461009260000143
Figure BDA0002461009260000144
Figure BDA0002461009260000145
T in Table 61、T2、T3、T4、T5、T6The likelihood function value of a class is
Figure BDA0002461009260000146
Figure BDA0002461009260000147
Figure BDA0002461009260000148
Figure BDA0002461009260000149
Obtaining corresponding F from the formula (4) in the step (8)1Reference evidence of failure ep1,1=[0.331,0.167,0.361,0.141]T,ep2,1=[0.223,0.31,0.257,0,0.2083,0.0017]TSimilarly, F can be obtained2、F3Corresponding reference evidence of failure ep1,2=[0.397,0.113,0.383,0.107]T,ep1,3=[0.0.283,0.192,0.442,0.083]T,ep2,2=[0.17,0.283,0.153,0.007,0.32,0.067]T,ep2,3=[0.092,0.333,0.117,0.0167,0.283,0.158]TMeanwhile, likelihood confidence tables such as table 7 and table 8 can be constructed to describe class Tk1、Tk2And FiThe relationship between:
TABLE 11Tk1Similar confidence table
Figure BDA0002461009260000151
TABLE 12Tk2Similar confidence table
Figure BDA0002461009260000152
Acquiring fault characteristic parameter vector X (t) ([ 0.0421,0.1695, -0.0864) at time t ═ 1 online]Substituting the above into formula (6) in step (8) to obtain the fault characteristic vectors x (t) and K at the time when t is equal to 11、K2The Euclidean distance between the central vectors is normalized to obtain the importance weight
wk1=[0.2045,0.1139,0.2911,0.3905],
wk2=[0.2345,0.0884,0.4876,0.0527,0.0838,0.0530],
Obtaining the activated reference evidence through the formula (7) in the step (9)
Figure BDA0002461009260000153
Figure BDA0002461009260000154
Normalized to obtain ep1′=[0.3362,0.3369,0.3269],ep2′=[0.4168,0,3192,0.264]。
6. Fault diagnosis
E obtained in step (10)p1' and ep2' substitution of equation (8) into step (11) yields fused diagnostic evidence ep=[0.4155,0.3230,0.2615]And diagnosing the fault of the elevator traction machine rotor: e.g. of the typepF corresponding to m (1) with maximum confidence coefficient value1The fault mode which is the real occurrence of the fault characteristic parameter vector X (t) is consistent with the real fault mode which is set by collecting the group of fault characteristic parameter vectors, and the decision result is correct.

Claims (3)

1. The elevator traction machine rotor fault diagnosis information fusion method based on the complex network is characterized by comprising the following steps:
(1) setting a fault set theta of an elevator traction machine rotor as F1,…,Fi,…,FN|i=1,2,…,N},FiRepresenting the ith fault in the fault set theta, wherein N is the number of fault modes contained in the elevator traction machine rotor;
(2) let f1,i,f2,iAnd f3,iTo be able to reflect each in the failure set ΘA fault FiThe characteristic parameters are acceleration signals and are respectively provided by acceleration sensors at the fan end, the motor base and the motor shell driving end;
will f is1,i,f2,i,f3,iAnd FiExpressed as a set of samples Mi={[f1,i,f2,i,f3,iFi]|t=1,2,3,…,SiIn which [ f)1,i(t),f2,i(t),f3,i(t),Fi]Is a sample vector, SiIndicates that the fault is FiSample data in the State, and denoted FiNumber of samples in state, take SiNot less than 100; respectively sampling sample data under each fault state and expressing the sample data in a set form
Figure FDA0002461009250000011
In total, a number of samples can be obtained,
Figure FDA0002461009250000012
| M | represents the number in the set M;
(3) will fail FiF obtained under the state1,i(t)、f2,i(t) and f3,i(t) is expressed as a sample set Mi′={[f1,i(t),f2,i(t),f3,i(t)]|t=1,2,…,SiRespectively sampling sample data in each fault state, and expressing the sample data in a set form
Figure FDA0002461009250000013
Satisfy | M | ═ M |)i′|,|Mi' | denotes the set Mi' number of elements in;
(4) carrying out correlation analysis on the sample fault characteristic parameters to obtain a Pearson coefficient; two characteristic parameters with larger Pearson coefficients are grouped into the same group and marked as GAThe characteristic parameters with less correlation are classified into another group, which is marked as GB
(5) For two groups of characteristic data G obtained in the step (4)AAnd GBRespectively constructing data complex network NetAAnd NetBDescribed in similarity matrices A and B, ai,j,bi,jAre elements in the matrices A and B, respectively, representing the sample x in each set of feature dataiAnd xjDistance d betweeni,jA function of (a);
(6) the complex network Net of data is divided by using the complex network community division principleAAnd NetBIs divided into K1And K2Class, is marked as
Figure FDA0002461009250000014
Including M sample vectors
Figure FDA0002461009250000015
To obtain K1Class-corresponding sample Qk1={[f1,k1(uk1),f2,k1(uk1),f3,k1(uk1),Fk1(uk1)]|uk1=1,2,…,Uk1},Uk1Represents Tk1Number of sample vectors in class, with Qk1∈M,
Figure FDA0002461009250000016
Figure FDA0002461009250000017
Fk1(uk1) ∈ theta, and can be formed from K1Obtaining K corresponding to the sample set M by taking the mean value of each sample-like vector1A reference center vector, which may be denoted as Ck1=[ck1,1,ck1,2,ck1,3]Wherein K1 is 1,2, …, K1
The same can put the sample vector in M into
Figure FDA0002461009250000021
In (b) to obtain K2Class-corresponding sample Qk2={[f2,k2(uk2),f2,k2(uk2),f3,k2(uk2),Fk2(uk2)]|uk2=1,2,…,Uk2},Uk2Represents Tk2Number of sample vectors in class, with Qk2∈M,
Figure FDA0002461009250000022
Fk2(uk2) ∈ theta, and can be formed from K2Obtaining K corresponding to the sample set M by taking the mean value of each sample-like vector2A reference center vector, which may be denoted as Ck2=[ck2,1,ck2,2,ck2,3]Wherein K2 is 1,2, …, K2
(7) F obtained according to the step (2), the step (3), the step (5) and the step (6)iAnd Tk1、Tk2The relational table shown in Table 1 and Table 2 is constructed to show FiAnd Tk1、FiAnd Tk2The corresponding relation between the two; n is a radical ofk1,i、Nk2,iRespectively represents Tk1、Tk2The sample set corresponding to the class has a fault FiIn combination with
Figure FDA0002461009250000023
And
Figure FDA0002461009250000024
and
Figure FDA0002461009250000025
wherein N is more than or equal to 0k1,i、Nk2,i≤Si
TABLE 1FiAnd Tk1Table of corresponding relationship between
Figure FDA0002461009250000026
TABLE 2FiAnd Tk2Table of corresponding relationship between
Figure FDA0002461009250000027
(8) According to the corresponding relation table obtained in the step (7), when the fault is FiWhen the sample data is classified into the k1 and k2, the likelihood function is:
Figure FDA0002461009250000031
and is provided with
Figure FDA0002461009250000032
Then the reference evidence defining the i-th type fault corresponding to the k1 and k2 types is:
Figure FDA0002461009250000033
obtaining two parts of fault diagnosis reference evidence as
ep1=[ep1,1,ep1,2,…,ep1,N],ep2=[ep2,1,ep2,2,…,ep2,N]
Constructing likelihood confidence tables as shown in tables 3 and 4 to describe Tk1、Tk2And FiThe relationship between;
TABLE 3Tk1Similar confidence table
Figure FDA0002461009250000034
TABLE 4Tk2Similar confidence table
Figure FDA0002461009250000035
(9) When the online monitoring obtains the fault characteristic parameter vector X (t) ═ f at the moment t1,i(t),f2,i(t),f3,i(t)]Thereafter, an importance weight w of the evidence is definedkDescription of evidence ekRespectively solving the fault characteristic parameter vector and K according to the relative importance of the fault characteristic parameter vector and other evidences1、K2A reference center vector
Figure FDA0002461009250000036
And normalizing the Euclidean distance to obtain the Disk1And Disk2Definition of wk1=Disk1,wk2=Disk2
(10) Using importance weights w of evidencekTo activate the reference evidence epTo obtain ep_1、ep_2E is to bep_1、ep_2Respectively carrying out normalization to obtain diagnosis evidence ep1′、ep2′;
(11) Combining rule pairs e by Dempsterp1′、ep2' fusion is performed, and the fused diagnosis results are:
Figure FDA0002461009250000041
in the formula m1、m2Let reference evidence m for two quality functions defined on Θ1=ep1′,m2=ep2' Definitions m ═ m1⊕m2For the combined quality function, ⊕ indicates that Dempster combination rules can act on two or more quality functions, both A, B, C are failure type patterns;
the diagnostic evidence after fusion was:
ep=[m(1),m(2),…,m(N)](9)
wherein m (1), m (2), m (N) respectively represent the failure type F after fusion and normalization1、F2、FNReliability;
(12) using the diagnostic evidence e obtained in step (11)pAnd diagnosing the fault of the elevator traction machine rotor: e.g. of the typepF corresponding to the maximum confidence valueiNamely the fault mode of the real fault characteristic parameter vector X (t).
2. The complex network-based elevator traction machine rotor fault diagnosis information fusion method according to claim 1, whichIs characterized in that: in step (5), ai,j,bi,jThe definition is as follows:
ai,j=exp(-15×di,j),bi,j=exp(-15×di,j)
in the formula (d)i,jUsing the euclidean distance metric, the similarity of the samples themselves is defined as 0, i.e., a when i ═ ji,j=0,bi,j=0。
3. The complex network-based elevator traction machine rotor fault diagnosis information fusion method according to claim 1, characterized in that: step (10) ep_1、ep_2Is calculated as follows:
ep_1=wk1*ep1=[ep1,1′,ep1,2′,…,ep1,N′],
ep_2=wk2*ep2=[ep2,1′,ep2,2′,…,ep2,N′]。
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