CN109213121B - Method for diagnosing clamping cylinder fault of fan braking system - Google Patents

Method for diagnosing clamping cylinder fault of fan braking system Download PDF

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CN109213121B
CN109213121B CN201810888737.XA CN201810888737A CN109213121B CN 109213121 B CN109213121 B CN 109213121B CN 201810888737 A CN201810888737 A CN 201810888737A CN 109213121 B CN109213121 B CN 109213121B
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朱才朝
鲁炯
王屹立
朱永超
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Chongqing University
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B23/00Testing or monitoring of control systems or parts thereof
    • G05B23/02Electric testing or monitoring
    • G05B23/0205Electric testing or monitoring by means of a monitoring system capable of detecting and responding to faults
    • G05B23/0259Electric testing or monitoring by means of a monitoring system capable of detecting and responding to faults characterized by the response to fault detection
    • G05B23/0262Confirmation of fault detection, e.g. extra checks to confirm that a failure has indeed occurred
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
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Abstract

The invention discloses a method for diagnosing the fault of a clamping cylinder of a fan braking system, which comprises the following steps of 1, collecting brake shoe gap-time characteristic curve data; 2. preprocessing data; 3. extracting a fault characteristic vector from a brake shoe clearance-time characteristic curve by utilizing a wavelet packet; 4. determining a training parameter according to the dimension of the input signal; 5. dividing the input signal sample obtained in the step 2 into a training set and a test set; 6. performing network training according to the training parameters obtained in the step 4 to obtain a fuzzy neural network model; 7. optimizing the fuzzy neural network model, and testing the fuzzy neural network model; 8. the recognition results of the fuzzy neural networks are used as independent evidences, and a D-S evidence theory is used for fusion to obtain a comprehensive diagnosis result; 9: and outputting the diagnosis result. The invention has the advantages that: the method adopts various technical means to diagnose the clamping cylinder fault of the fan braking system, and improves the accuracy of fault diagnosis.

Description

Method for diagnosing clamping cylinder fault of fan braking system
Technical Field
The invention belongs to the technical field of wind power generation, and particularly relates to a clamping cylinder fault diagnosis method for a fan braking system.
Background
There are generally two methods for improving the reliability of a fan brake system: firstly, the reliability of a braking system is improved; and secondly, detecting the running state of the brake system so as to diagnose the fault of the brake system. In the aspect of improving reliability, the failure of a fan braking system is generally caused by the obvious reduction of the friction coefficient of a brake shoe material, and factors for reducing the friction coefficient mainly include the temperature rise, the sliding speed and the pressure change of the brake shoe. Among the three factors, the influence of temperature rise is the largest, and as the fan runs at a high speed in a load state, the temperature of a brake shoe can be increased rapidly in the braking process, so that the friction coefficient is reduced, and the change of the friction coefficient can have great influence on the performance of a braking system. At present, some documents also derive an analytic expression of the temperature rise of the brake shoe, but the analytic expression is nonlinear and quite complex in structure, and the effect is poor in practical application.
In the aspect of fault diagnosis, the fault of the fan brake system is always a difficult point of fan fault diagnosis, with the development of big data theory, signals are mined from a large amount of information in an information system, and a method of signal fusion by artificial intelligence becomes a new direction of fan brake system fault diagnosis. The current artificial intelligence fault diagnosis has the disadvantages of unsatisfactory diagnosis result, low accuracy and high false alarm rate.
Many field failure examples show that the cylinder piston of the brake system is stuck to be a common failure. Based on the method, the invention provides an artificial intelligence-based method for diagnosing the clamping cylinder fault of the braking system of the fan. The fuzzy neural network used by the invention is a product of combining the fuzzy theory and the neural network, integrates the advantages of the neural network and the fuzzy theory, and integrates learning, association, identification and information processing.
Disclosure of Invention
The invention aims to solve the technical problem of providing a method for diagnosing the stuck cylinder fault of the fan braking system, which combines a fuzzy neural network with a D-S evidence to accurately detect the running state of a fan and improve the accuracy of diagnosing the stuck cylinder fault of the fan braking system.
The technical problem to be solved by the invention is realized by the technical scheme, which comprises the following steps: step 1, data acquisition: deeply excavating a brake shoe gap-time signal from a large amount of information about the running state of a fan braking system contained in an SCADA information system;
step 2, data preprocessing: removing singular points in signal data, denoising the signal, normalizing the data and carrying out similarity processing on output signals;
step 3, extracting fault characteristic quantity: extracting a fault characteristic vector from a brake shoe gap-time signal by utilizing a wavelet packet;
step 4, determining training parameters according to the dimensionality of the input signal; the training parameters comprise hidden layer node number, period for displaying intermediate result, maximum iteration times, learning rate and error threshold value; the dimensionality of the input signal corresponds to the number of input layer nodes;
step 5, dividing the input signal sample obtained in the step 2 into a training set and a testing set, wherein the sample contains normal data and fault data;
step 6, performing network training according to the training parameters and the training set data obtained in the step 4 to obtain a fuzzy neural network model;
step 7, optimizing the fuzzy neural network model, testing the fuzzy neural network model: comparing the output value of the fuzzy neural network model with ideal output (namely actually measured data or a value set by the user) to obtain an error, performing error back transmission, updating parameters in the model until the error meets the requirement, and obtaining an optimal fuzzy neural network model; verifying the performance of the network with the test set data;
step 8, fusing D-S evidence theories: the output values of the fuzzy neural networks are sent to a decision fusion module, the recognition results of the fuzzy neural networks are used as independent evidences, and a D-S evidence theory is used for fusion to obtain a comprehensive diagnosis result;
and step 9: and outputting a diagnosis result: and sending the diagnosis result into a diagnosis system for analysis, and presenting the final result in a human-computer interaction interface.
According to the invention, the existing data is fully utilized by utilizing the data in the SCADA information system, the big data theory is applied, the wavelet theory, the fuzzy neural network, the evidence theory and other tools are adopted, the fault diagnosis is carried out around the cylinder clamping fault of the oil cylinder of the fan braking system based on the viewpoint of information fusion, the acquired data is fully utilized through the neural network, and the fault tolerance of a certain signal is increased by the D-S evidence theory fusion method.
Compared with the prior art, the invention has the technical effects that:
1. the invention effectively realizes the extraction of the fault characteristic quantity by utilizing the wavelet theory.
2. The invention processes the data with strong correlation and accelerates the convergence speed of the neural network.
3. The data in the system is fully utilized to train the fuzzy neural network to obtain an optimal model, and then the test set data is utilized again to test the model, so that the accuracy of the model is ensured.
4. The clamping cylinder fault of the fan braking system is diagnosed by fusing a plurality of sensor signals, so that the accuracy of the clamping cylinder fault diagnosis is further improved, the feasibility is provided for intelligent health management of the wind turbine generator, and the safe, stable and efficient operation of a power grid can be realized.
Drawings
The drawings of the invention are illustrated as follows:
FIG. 1 is a flow chart of a fault method of the present invention;
FIG. 2 is an exploded view of a wavelet packet signal according to the present invention;
FIG. 3 is a diagram of a fuzzy neural network topology according to the present invention;
FIG. 4 is a flowchart of fuzzy neural network model optimization and testing in accordance with the present invention;
FIG. 5 is a framework diagram of the D-S evidence theory for fault diagnosis in the present invention.
Detailed Description
The invention is further illustrated by the following examples in conjunction with the accompanying drawings:
at present, various sensors are used for detecting the running state of a fan, two systems, namely a CMS (state monitoring system) system and an SCADA (supervisory control and data acquisition) system, are installed in a wind field, and the two systems can acquire various data of a generator set in real time. As shown in fig. 1, the present invention comprises the steps of:
step 1, data acquisition: deeply excavating a large amount of information about the running state of a fan braking system contained in an SCADA information system, and respectively acquiring signals of two eddy current sensors through an A/D acquisition board to obtain a brake shoe gap-time signal;
the brake shoe clearance-time signal is mainly used for the subsequent feature vector extraction.
Step 2, data preprocessing: removing singular points in signal data, denoising the signal, normalizing the data and performing similarity processing on output signals, wherein the similarity processing is to adjust the output data to be the same when the input is the same and the output deviation is small;
the singular point of the data signal refers to a signal which is suddenly larger or smaller than the signal at the previous moment and the signal at the later moment, and due to the harsh operating environment of the fan, the sensor may be interfered by the outside or a certain sensor fails, so that the data measured by the sensor may be wrong, the data measured by the sensor must be removed, or the final result is seriously affected.
The principle of rejecting singular points is as follows: the data with the deviation larger than 3 sigma is removed according to the statistical probability theory by calculating the standard deviation sigma of the input sample signal.
The input quantity has different physical meanings and different dimensions, and the normalized data all change between [0, 1], so that each input component has the same important position in the network training. The data must be normalized for the prediction problem. The formula of the data normalization process is as follows:
Figure BDA0001756332610000041
in the formula, x*For normalized values of the data, xiFor the ith data of the signal, xmax、xminThe maximum and minimum values of the sample data, respectively.
The similarity processing means that when the input is the same and the output deviation is small, the output data is adjusted to be the same;
in the output signal similarity processing, an output deviation threshold is set according to the requirement, and when the output deviation meets the requirement, the output data can be adjusted to be the same, so that the convergence speed of the operation is accelerated.
Step 3, extracting fault characteristic quantity: extracting a fault characteristic vector from a brake shoe gap-time signal by utilizing a wavelet packet;
the steps of extracting the fault characteristic quantity are as follows:
step 31, carrying out wavelet decomposition on the brake shoe gap-time signal;
the wavelet packet signal decomposition diagram is shown in fig. 2: performing three-layer wavelet packet decomposition on the signal, and respectively extracting signal characteristics of 8 frequency components from low frequency to high frequency in the third layer; in fig. 2, the (0, 0) node represents the original signal S, (1, 1) node represents the first-layer low-frequency coefficient of wavelet packet decomposition, (1, 2) node represents the first-layer high-frequency coefficient of wavelet packet decomposition, (2, 1) and (2, 2) nodes represent the second-layer low-frequency coefficient of wavelet packet decomposition, (2, 3) and (2, 4) nodes represent the second-layer high-frequency coefficient of wavelet packet decomposition, and (3, 1) … … (3, 8) node represents the coefficients of the third-layer first to eighth nodes of wavelet packet decomposition.
Step 32, reconstructing the wavelet packet decomposition coefficients, and extracting signals in each frequency band range; with S31Denotes x31(x31Is the signal of the first node of the third layer of wavelet packet decomposition), S32Denotes x32(x32Is the signal of the second node of the third layer of wavelet packet decomposition), and so on; the original signal S can be represented as: s ═ S31+S32+S33+S34+S35+S36+S37+S38
Step 33, calculating the total energy of each frequency band signal; because the input signal is a random signal, the output signal is also a random signal; setting a reconstruction signal S3j(j-1, 2, …, 8) corresponds to an energy E3j(j ═ 1,2, …, 8), then there are
Figure BDA0001756332610000042
In the formula: x is the number of3j(j ═ 1,2, …, 8) denotes the reconstructed signal S3jThe amplitude of the discrete points of (a).
Step 34, constructing a feature vector, wherein the feature vector is constructed as follows:
T=[E31,E32,E33,E34,E35,E36,E37,E38]
when the energy is large, E3j(j-1, 2, …, 8) is typically a large number that is used for subsequent data analysisSome inconveniences, so the feature vector T is normalized by
T′=[E31/E,E32/E,E33/E,E34/E,E35/E,E36/E,E37/E,E38/E]
The vector T' is the normalized feature vector.
Step 4, determining training parameters according to the dimensionality of the input signal; the training parameters comprise hidden layer node number, period for displaying intermediate result, maximum iteration times, learning rate and error threshold value; the dimensionality of the input signal corresponds to the number of input layer nodes;
determining formula of hidden layer node number:
Figure BDA0001756332610000051
in the formula: m is the number of hidden layer nodes, n is the number of input layer nodes, l is the number of output layer nodes, and α is a constant between 1 and 10.
And selecting an error threshold according to the actual precision requirement of the engineering.
And 5, dividing the input signal sample obtained in the step 2 into a training set and a testing set, wherein the input signal sample contains normal data and fault data. The input signal samples are data relating to the operational status of the fan brake system as measured by various sensors.
Step 6, performing network training according to the training parameters and the training set data obtained in the step 4 to obtain a fuzzy neural network model;
the structure of the fuzzy neural network is shown in figure 3, the fuzzy neural network has 3 layers which are an input layer, a membership function generation layer and an output layer respectively, the input layer has d neurons, the membership function generation layer has h neurons, the output layer has g neurons, X represents input data, y represents output result, the input variable membership function is selected as a Gaussian function, and the Gaussian membership function is selected as the output result
Figure BDA0001756332610000052
Mu andsigma represents a mean value and a standard value respectively,
Figure BDA0001756332610000053
representing the input to the a-th node of the k-th layer,
Figure BDA0001756332610000054
representing the output of the a-th node of the k-th layer, membership value
Figure BDA0001756332610000055
The connection weight between the first and second layers is constant 1, and the function is a fuzzy membership function mubc(. h), a fuzzy membership function between the b factor and the c index; w is avThe weight coefficient between the second and third layers.
The processing procedures of each layer of the fuzzy neural network are as follows:
let the f-th neuron input and output of the input layer be x respectivelyfAnd OfThe p-th neuron input and output of the membership function generation layer are respectively
Figure BDA0001756332610000056
And
Figure BDA0001756332610000057
the q-th neuron input and output of the output layer are respectively
Figure BDA0001756332610000058
And
Figure BDA0001756332610000059
then
Step 61, the output of the input layer is equal to its input value, i.e.
Of=xf,
f is the input layer neuron number, f is 1,2, …, d;
step 62, membership function layer:
Figure BDA0001756332610000061
in the formula: m isrpAnd σrpMean and standard deviation of Gaussian membership functions of the p-th fuzzy set respectively representing the r-th input quantity, rrpThe membership degree of the r factor to the p index is the adjustable parameter of the network;
step 63, outputting a layer:
Figure BDA0001756332610000062
in the formula:
Figure BDA0001756332610000063
to blur the output of the qth neuron of the neural network,
Figure BDA0001756332610000064
generating the output of the pth neuron in the layer for the membership function, wpqIs the weight coefficient between the p-th neuron of the second layer and the q-th neuron of the third layer.
The fuzzy neural network has three types of adjustable parameters: one is a rule parameter, which is a weight coefficient between the second and third layers; the second type of adjustable parameter is the mean value m of the Gaussian membership functionrpAnd standard deviation σrpWhich are located in nodes of the second layer and represent parameters of the input membership function; the third type is an evaluation result output layer.
Step 7, optimizing the fuzzy neural network model, and testing the fuzzy neural network model;
comparing the output value of the fuzzy neural network model with ideal output (namely actually measured data or a value set by the user) to obtain an error, performing error back transmission, updating parameters in the model until the error meets the requirement, and obtaining an optimal fuzzy neural network model; the test set data is used to verify the performance of the network.
As shown in fig. 4, the fuzzy neural network model optimization and testing includes the following steps:
step 71, inputting a sample;
step 72, inputting parameters and determining an error threshold;
step 73, comparing the actual output of the network with the ideal output, and obtaining an output error E by using a secondary cost function;
let t samples from the training set be given, the samples are input
Figure BDA0001756332610000065
d is a neuron in the input layer, and the output sample
Figure BDA0001756332610000066
g is a neuron in the output layer, s is 1,2, …, t,
Figure BDA0001756332610000067
the ideal output signal of the u-th neuron for the s-th sample,
Figure BDA0001756332610000068
the network output signal of the u-th neuron of the s-th sample
Figure BDA0001756332610000069
Step 74, judging whether the obtained error is smaller than an error threshold value, if so, executing step 76, otherwise, executing step 75;
step 75, if the error is larger than the error threshold value, performing error reverse transmission, and performing reverse transmission layer by layer from the third layer to the first layer; method for correcting adjustable parameters w of network by fuzzy methodv,mrp,σrpThe correction values of the parameters are as follows:
Figure BDA0001756332610000071
Figure BDA0001756332610000072
Figure BDA0001756332610000073
the updating algorithm of each adjustable parameter is as follows:
wv(T+1)=wv(T)+η1Δwv(T)
mrp(T+1)=mrp(T)+η2Δmrp(T)
σrp(T+1)=σrp(T)+η3Δσrp(T)
in the formula, wv(T) and wv(T +1) is a parameter function before and after updating; eta1,η2,η3The learning rates of the parameters are respectively; t discrete time variable.
Under the condition that the output error is larger than the error threshold, continuing to train the parameters in the model until the error is smaller than the threshold;
step 76, obtaining an optimal fuzzy neural network model when the error is smaller than the error threshold value;
step 77, the performance of the network is verified using the test set data.
Step 8, fusing D-S evidence theories: the output values of the fuzzy neural networks are normalized and then sent to a decision fusion module, a plurality of sensors are used for testing signal data, the data measured by one sensor is used for one fuzzy neural network, then the identification results of all the fuzzy neural networks are used as independent evidences, and a D-S evidence theory is used for fusion to obtain a comprehensive diagnosis result.
And modifying the evidences by utilizing an entropy principle to reduce the conflict among the evidences. As shown in fig. 5, D-S evidence fusion includes the following steps:
step 81, modifying evidence entropy: for F evidences, N fault types, mbaAnd (3) representing a basic probability assignment function of the a-th evidence to the b faults, namely BPA values, wherein the evidence entropy is as follows:
Figure BDA0001756332610000074
to itThe reciprocal is normalized to obtain the weight w of each evidencea
Figure BDA0001756332610000075
Then the overall weighted average of the original BPA values
Figure BDA0001756332610000076
Figure BDA0001756332610000077
Wherein
Figure BDA0001756332610000081
Respective original BPA values and Total weighted average of evidence item a
Figure BDA0001756332610000082
The deviation of (d) is noted as:
εa=(ε1a2a,…,εba,…,εNa) Wherein a is 1,2, …, F
Figure BDA0001756332610000083
Note the book
Figure BDA0001756332610000084
Is maAnd
Figure BDA0001756332610000085
degree of total deviation therebetween, using deltaaTo adjust the original evidence, the modified evidence is denoted as m'aAnd then:
m′a=mbabaδawherein a is 1,2, …, F, b is 1,2, …, N
Step 82, fusing the evidence modified in the step 81 by using a D-S evidence theory, wherein a fusion formula of G pieces of evidence is as follows:
Figure BDA0001756332610000086
Figure BDA0001756332610000087
in the formula: m (A) represents a fused basic probability assignment function of the fault A, G represents the number of sensors, namely evidence bodies, K represents a conflict factor, the larger the K is, the larger the conflict between the evidences is, and conversely, the smaller the K is, the smaller m is1、m2、…mGBasic probabilistic valuation functions, A, representing individual pieces of evidence1、A2、…AnRepresenting a fault set containing a fault A in each evidence;
step 83, making a final diagnosis decision by using a relevant decision rule;
if it is
Figure BDA0001756332610000088
The failure modes in three failure domains (all possible failure modes of the brake system, denoted by theta) satisfy:
m(A)≥ε1
m(A)-m(B)≥ε2
Figure BDA0001756332610000089
in the formula, epsilon1,ε2Is a predetermined threshold, then A is the result of the decision, empirically, where ε1=0.6,ε20.3, m (a), m (b), m (c) represent A, B, C basic probability assignment functions for three failure modes.
Step 9, outputting a diagnosis result;
and sending the diagnosis result into a diagnosis system for analysis, and presenting the final result in a human-computer interaction interface. The specific operation process of the step is as follows: and sending the prediction result into an information base for storage, and transmitting the prediction result to an inference machine, wherein the inference machine analyzes the prediction result in the information base, matches information in a knowledge base to obtain a corresponding fault reason, outputs the fault reason to an interpreter to obtain a corresponding explanation, and presents the explanation in a human-computer interaction interface, so that a user can obtain a corresponding inference process.

Claims (7)

1. A method for diagnosing a stuck cylinder fault of a fan braking system comprises the following steps:
step 1, data acquisition: deeply excavating a brake shoe gap-time signal from a large amount of information about the running state of a fan braking system contained in an SCADA information system;
step 2, data preprocessing: removing singular points in signal data, denoising the signal, normalizing the data and carrying out similarity processing on output signals;
step 3, extracting fault characteristic quantity: extracting a fault characteristic vector from a brake shoe gap-time signal by utilizing a wavelet packet;
step 4, determining training parameters according to the dimensionality of the input signal; the training parameters comprise hidden layer node number, period for displaying intermediate result, maximum iteration times, learning rate and error threshold value; the dimensionality of the input signal corresponds to the number of input layer nodes;
step 5, dividing the input signal sample obtained in the step 2 into a training set and a testing set, wherein the input signal sample contains normal data and fault data;
step 6, performing network training according to the training parameters and the training set data obtained in the step 4 to obtain a fuzzy neural network model;
step 7, optimizing the fuzzy neural network model, testing the fuzzy neural network model: comparing the output value of the fuzzy neural network model with the ideal output to obtain an error, performing error back transmission, updating parameters in the model until the error meets the requirement, and obtaining an optimal fuzzy neural network model; verifying the performance of the network with the test set data;
step 8, fusing D-S evidence theories: the output values of the fuzzy neural networks are sent to a decision fusion module, the recognition results of the fuzzy neural networks are used as independent evidences, and a D-S evidence theory is used for fusion to obtain a comprehensive diagnosis result;
the method is characterized in that the D-S evidence fusion comprises the following steps:
step 1), modifying evidence entropy: for F evidences, N fault types, mbaAnd representing the BPA value of the a th evidence to the b faults, the evidence entropy is as follows:
Figure FDA0002933871930000011
normalizing the reciprocal to obtain the weight w of each evidencea
Figure FDA0002933871930000012
Then the overall weighted average of the original BPA values
Figure FDA0002933871930000013
Figure FDA0002933871930000021
In the formula (I), the compound is shown in the specification,
Figure FDA0002933871930000022
respective original BPA values and Total weighted average of evidence item a
Figure FDA0002933871930000023
The deviation of (d) is noted as:
εa=(ε1a2a,…,εba,…,εNa
Figure FDA0002933871930000024
note the book
Figure FDA0002933871930000025
Is maAnd
Figure FDA0002933871930000026
degree of total deviation therebetween, using deltaaTo adjust the original evidence, the modified evidence is denoted as m'aAnd then:
m′a=mbabaδa
step 2), fusing the evidences modified in the step 1) by using a D-S evidence theory, wherein the fusion formula of the G evidences is as follows:
Figure FDA0002933871930000027
Figure FDA0002933871930000028
in the formula: m (A) represents the fused basic probability assignment function of the fault A, G represents the number of sensors, namely evidence bodies, K represents a conflict factor, m1、m2、…mGBasic probabilistic valuation functions, A, representing individual pieces of evidence1、A2、…AnRepresenting a fault set containing a fault A in each evidence;
step 3), making a final diagnosis decision by using a relevant decision rule;
theta indicates all possible failure modes of the brake system if
Figure FDA0002933871930000029
The failure modes in the three failure domains meet the following conditions:
m(A)≥ε1
m(A)-m(B)≥ε2
Figure FDA00029338719300000210
in the formula, epsilon1,ε2If the value is a preset threshold value, A is the result of judgment, and m (A), m (B), m (C) represent A, B, C BPA values of three fault modes;
and step 9: and outputting a diagnosis result: and sending the diagnosis result into a diagnosis system for analysis, and presenting the final result in a human-computer interaction interface.
2. The method for diagnosing the stuck cylinder fault of the fan brake system according to claim 1, wherein in the step 2, the formula of data normalization processing is as follows:
Figure FDA0002933871930000031
in the formula, x*For normalized values of the data, xiFor the ith data of the signal, xmax、xminThe maximum and minimum values of the sample data, respectively.
3. The blower brake system clamping cylinder fault diagnosis method according to claim 2, wherein in the step 3, the step of extracting fault characteristic quantity comprises the following steps:
step 31, carrying out wavelet decomposition on the brake shoe gap-time signal;
performing three-layer wavelet packet decomposition on the signal, and respectively extracting signal characteristics of 8 frequency components from low frequency to high frequency in the third layer;
step 32, reconstructing the wavelet packet decomposition coefficients, and extracting signals in each frequency band range; with S31Denotes x31Reconstructed signal of x31The wavelet packet decomposes the signal of the first node of the third layer; s32Denotes x32Reconstructed signal of x32Decomposing the signal of the second node of the third layer by the wavelet packet, and so on; the original signal S can be represented as: s ═ S31+S32+S33+S34+S35+S36+S37+S38
Step 33, calculating the total energy of each frequency band signal;
because the input signal is a random signal, the output signal is also a random signal; setting a reconstruction signal S3jCorresponding energy is E3jThen, there are:
Figure FDA0002933871930000032
in the formula: x is the number of3jRepresenting the reconstructed signal S3jJ ═ 1,2, …, 8;
step 34, constructing a feature vector, wherein the feature vector is constructed as follows:
T=[E31,E32,E33,E34,E35,E36,E37,E38]
when the energy is large, E3jUsually a larger value, and the feature vector T is normalized to obtain
T′=[E31/E,E32/E,E33/E,E34/E,E35/E,E36/E,E37/E,E38/E]
The vector T' is the normalized feature vector.
4. The blower brake system clamping cylinder fault diagnosis method according to claim 3, characterized in that in step 4, the determination formula of the number of hidden layer nodes is as follows:
Figure FDA0002933871930000033
in the formula: m is the number of hidden layer nodes, n is the number of input layer nodes, l is the number of output layer nodes, and α is a constant between 1 and 10.
5. The method for diagnosing the stuck cylinder fault of the fan brake system according to claim 4, wherein in the step 6, the processing procedures of each layer of the fuzzy neural network are as follows:
let the f-th neuron input and output of the input layer be x respectivelyfAnd OfThe p-th neuron input and output of the membership function generation layer are respectively
Figure FDA0002933871930000041
And
Figure FDA0002933871930000042
the q-th neuron input and output of the output layer are respectively
Figure FDA0002933871930000043
And
Figure FDA0002933871930000044
then
Step 61, the output of the input layer equals its input value:
Of=xf
f is the number of neurons in the input layer, f is 1,2, …, d, d is the total number of neurons in the input layer;
step 62, membership function layer:
Figure FDA0002933871930000045
in the formula, mrpAnd σrpMean and standard deviation of Gaussian membership functions of the p-th fuzzy set respectively representing the r-th input quantity, rrpThe membership degree of the r factor to the p index is the adjustable parameter of the network;
step 63, outputting a layer:
Figure FDA0002933871930000046
in the formula:
Figure FDA0002933871930000047
to blur the output of the qth neuron of the neural network,
Figure FDA0002933871930000048
generating the output of the pth neuron in the layer for the membership function, wpqIs the weight coefficient between the p-th neuron of the second layer and the q-th neuron of the third layer.
6. The blower brake system clamping cylinder fault diagnosis method according to claim 5, wherein in step 7, the error E is calculated by the following formula:
Figure FDA0002933871930000049
wherein t is the total number of samples in the self-training set, s is the sample number, s is 1,2, …, t, g is the total number of neurons in the output layer, and u is the neuron number of the output layer;
Figure FDA00029338719300000410
the ideal output signal of the u-th neuron for the s-th sample,
Figure FDA00029338719300000411
the signal is output for the network of the u-th neuron for the s-th sample.
7. The method for diagnosing the stuck cylinder fault of the fan brake system as claimed in claim 6, wherein in the step 7, parameters in the updated model are as follows: weight coefficient w between the second and third layersvMean value m of Gaussian-type membership functionsrpAnd standard deviation σrpThe correction values of the parameters are as follows:
Figure FDA00029338719300000412
Figure FDA0002933871930000051
Figure FDA0002933871930000052
the updating algorithm of each parameter is as follows:
wv(T+1)=wv(T)+η1Δwv(T)
mrp(T+1)=mrp(T)+η2Δmrp(T)
σrp(T+1)=σrp(T)+η3Δσrp(T)
in the formula, wv(T) and wv(T +1) is a parameter function before and after updating; eta1,η2,η3The learning rates of the parameters are respectively;
t discrete time variable.
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