CN109490814B - Metering automation terminal fault diagnosis method based on deep learning and support vector data description - Google Patents

Metering automation terminal fault diagnosis method based on deep learning and support vector data description Download PDF

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CN109490814B
CN109490814B CN201811046099.3A CN201811046099A CN109490814B CN 109490814 B CN109490814 B CN 109490814B CN 201811046099 A CN201811046099 A CN 201811046099A CN 109490814 B CN109490814 B CN 109490814B
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陈俊
李捷
周毅波
李刚
韦杏秋
何涌
张智勇
何艺
唐志涛
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Electric Power Research Institute of Guangxi Power Grid Co Ltd
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Abstract

The invention discloses a metering automation terminal fault diagnosis method based on deep learning and support vector data description, and relates to the technical field of power metering fault diagnosis. The metering automation terminal fault diagnosis method based on deep learning and support vector data description is characterized in that fault data collected by a metering automation terminal are subjected to feature extraction through a deep confidence network model in the deep learning, and fault diagnosis and classification are carried out by using the support vector data description; the deep confidence network model can directly start from low-level original signals and obtain high-level feature representation through greedy training layer by layer, so that manual operation of feature extraction and selection is avoided, complexity and uncertainty caused by traditional manual feature extraction and feature selection are effectively eliminated, and intelligence of a diagnosis process is enhanced; the invention uses the support vector data description to classify and identify the samples, thereby effectively improving the accuracy and efficiency of the multi-class classification problem of the fault diagnosis of the metering automation terminal.

Description

Metering automation terminal fault diagnosis method based on deep learning and support vector data description
Technical Field
The invention belongs to the technical field of power metering fault diagnosis, and particularly relates to a metering automation terminal fault diagnosis method based on deep learning and support vector data description.
Background
The main detection method of the current metering automation terminal comprises terminal acquisition detection (meter code, three-phase voltage, three-phase current and three-phase power), communication protocol detection, abnormal event detection and the like. The related technology of the traditional metering automation terminal fault diagnosis is relatively simple, a large amount of manual operation and data processing are needed, the fault diagnosis efficiency is low, and the accuracy, rapidity and reliability of the fault diagnosis are difficult to guarantee.
However, deep learning is rapidly developed in the field of fault diagnosis at present, but some traditional deep learning methods have the following disadvantages:
1. the traditional method utilizes a single Support Vector Machine (SVM) to carry out fault diagnosis, and has the advantages of solving the problem of small samples and being incapable of solving the problems of larger fault samples, more fault feature dimensions and the like of the data of the automatic metering terminal.
2. The method is a fault diagnosis method for evaluating the state of the metering automation terminal by establishing an observer by using a BP neural network and establishing the nonlinear mapping of input and output of fault reasons of fault data by using a large amount of data. The method has the defects of gradient attenuation, overfitting, local minimum and the like in the traditional shallow neural network, so that the fault diagnosis effect is greatly reduced.
3. Intelligent diagnosis is performed using an Extreme Learning Machine (ELM). The ELM method has high training speed, but poor stability, belongs to a shallow machine learning method, has limited learning capability, is difficult to improve when the accuracy reaches a certain height, and requires accurate and complete fault data samples.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides a metering automation terminal fault diagnosis method based on deep learning and support vector data description.
The invention solves the technical problems through the following technical scheme: a metering automation terminal fault diagnosis method based on deep learning and support vector data description comprises the following steps:
step (1): collecting sample data;
collecting voltage data and current data of the metering automation terminal in batches, reading and writing data streams of a local communication module, data streams of a remote communication module and switching value input and output state data, wherein the number of sampling points of each batch is kept consistent; after normalization preprocessing is carried out on the acquired data, the acquired data are divided into fault training samples and fault testing samples;
step (2): building a DBN model;
establishing a Deep Belief Network (DBN) model with multiple hidden layers, determining the number of nodes of an input layer of the DBN model according to the sample dimensions of the fault training sample and the fault testing sample in the step (1), and performing unsupervised training on the DBN model by adopting the fault training sample; determining the number of output layer nodes of the DBN model according to the fault type of the metering automation terminal, and obtaining a connection weight and a bias parameter of the DBN model by adopting an unsupervised layer-by-layer greedy training method; optimizing the connection weight to obtain reference characteristics of various fault types;
and (3): diagnosing faults;
and (3) establishing the bandwidth of each fault type Support Vector Data Description (SVDD) model by using the reference characteristics of the step (2), and performing weighted normalization processing on the bandwidth radius of each fault hypersphere, so as to judge the fault type of the metering automation terminal and realize fault diagnosis of the metering automation terminal.
Further, in the step (2), the training of the DBN model includes two parts, one part is to perform unsupervised training on a Restricted Boltzmann Machine (RBM) layer by layer, and the other part is to apply a back propagation algorithm to perform fine tuning on the DBN model, so that the network structure of the DBN model is optimized.
Further, the specific training step of the DBN model includes the following substeps:
step (2.1): taking a fault training sample as the input of a DBN model, inputting a given training sample to a first layer RBM visible layer node, activating all nodes of a hidden layer by using a joint probability distribution function of the RBM, and simultaneously, regaining the visible layer node by using the excitation of the hidden layer node; then, calculating the conditional distribution of the visible layer data by using a contrast divergence algorithm to obtain hidden layer data, calculating the visible layer data by using the conditional distribution data of the hidden layer, reconstructing the visible layer data, and adjusting and updating RBM model parameters;
step (2.2): taking the output of the first layer RBM hidden layer as the input of the visible layer of the second layer RBM until the state is stable;
step (2.3): and (3) repeating the step (2.2) until the last layer of RBM is completed, and finishing the RBM parameter theta ═ wij,ai,bj) Wherein a isiIs the bias of the ith node of the visible layer; bjIs the bias of the jth node of the hidden layer, wijIs the connection weight of the ith node of the visible layer and the jth node of the hidden layer;
step (2.4): after the last layer of RBM hidden layer training is completed, the fault type output by the last layer of hidden layer of the DBN model is trained through a back propagation network, the type error of the fault type result output by the training prediction and the type error of the actual type result of the fault training sample are propagated backwards layer by layer, the connection weight of each layer of the whole DBN model is optimized, the original data sample with the minimum error is reconstructed, and therefore the essential characteristic of the original metering automation terminal data sample is obtained and serves as the reference characteristic of the metering automation terminal fault type.
Further, in the step (2.1), the joint probability distribution function of the RBM is:
Figure BDA0001793336260000031
in the formula, Z (theta) is a normalization factor, h is a hidden layer neuron and v is a visible layer neuron.
Further, in the step (2.1), the contrast divergence learning algorithm is as follows:
Δwij=ε(<vihj>data-<vihj>model)
Δai=ε(<vi>data-<vi>model)
Δbj=ε(<hj>data-<hj>model)
wherein, because< >modelIt is difficult to calculate, so the use of the contrast bifurcation algorithm reduces the amount of computation, resulting in an improved learning algorithm, as follows:
Δwij=ε(<vihj>data-<vihj>1)
Δai=ε(<vi>data-<vi>1)
Δbj=ε(<hj>data-<hj>1)
wherein,< >1the method comprises the steps of carrying out Gibbs sampling on a sample to obtain a reconstructed sample; epsilon is the learning rate, representing the step length of each parameter adjustment; h isjFor hidden layer neurons, viVisible layer neurons.
Further, in the step (3), the specific step of determining the fault type of the metering automation terminal includes:
step (3.1): constructing a minimum hypersphere containing a fault target training sample in a high-dimensional space subjected to kernel mapping, and using the fault test sample data divided in the step (1), regarding test data x falling outside the hypersphere as a non-target class, and regarding test data falling inside the hypersphere and at the boundary as a fault target class;
suppose a sample set X of reference features of a fault training sample is { X ═ X1,x2,...,xn},xi∈RnEstablishing a Lagrangian function:
Figure BDA0001793336260000041
in the formula, alphaiAnd betaiIs Lagrange factor, ξii≧ 0) is a relaxation variable factor, C represents a penalty factor, φ (x)i) Mapping the original space to a high-dimensional space through a nonlinear mapping function, wherein r is the radius of a hyper-sphere;
step (3.2): lagrange function a, ξ for said step (3.1)iAnd r is obtained by partial differentiation:
Figure BDA0001793336260000051
by optimizing the above formula, the optimal hypersphere classification problem is converted into its dual form:
Figure BDA0001793336260000052
K(xi,xj) Mapping the inner product of the fault data to a kernel function space for the kernel function with the constraint condition of
Figure BDA0001793336260000053
According to the KKT condition, utilizing a boundary support vector x satisfying a constraint conditionkFrom this, the hypersphere radius is determined as:
Figure BDA0001793336260000054
step (3.3): determining a Support Vector Data Description (SVDD), i.e., satisfying 0 ≦ αiC, and the radius of the hyper-sphere is the distance value from any Support Vector Data Description (SVDD) to the center; if the radius distance from the test data point to the center of a certain hyper-sphere is less than or equal to r, the test point is indicated to belong to the fault data type, and the purpose of classifying the fault types of the metering automation terminal is achieved.
Compared with the prior art, the metering automation terminal fault diagnosis method based on deep learning and support vector data description provided by the invention has the advantages that the characteristic extraction is carried out on the fault data acquired by the metering automation terminal through the DBN model, and the fault diagnosis and classification are carried out by utilizing SVDD; the DBN model can directly start from a low-level original signal, high-level feature representation is obtained through greedy training layer by layer, manual operation of feature extraction and selection is avoided, complexity and uncertainty caused by traditional manual feature extraction and feature selection are effectively eliminated, and intelligence of a diagnosis process is enhanced;
according to the two-class classifier of the traditional SVM, if the multi-class classification problem of fault separation is processed, the two-class classifier needs to be converted into a one-to-many or one-to-one form, and the conversion can lead to the repeated use of training samples.
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In order to more clearly illustrate the technical solution of the present invention, the drawings needed to be used in the description of the embodiments are briefly introduced below, and it is obvious that the drawings in the following description are only one embodiment of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on the drawings without creative efforts.
FIG. 1 is a network structure of the DBN model of the present invention and its training process;
FIG. 2 is a flow chart of the SVDD algorithm for realizing the fault classification of the metering automation terminal.
Detailed Description
The technical solutions in the present invention are clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The invention provides a metering automation terminal fault diagnosis method based on deep learning and support vector data description, which comprises the following steps:
(1) the voltage data and the current data of the metering automation terminal are collected in batches by using the alternating current sampling module, the local communication module, the remote communication module and the input-output module, the read-write data stream of the local communication module, the data stream of the remote communication module and the switching value input-output state data, and the number of sampling points in each batch is kept consistent; after normalization preprocessing is carried out on the acquired data, the acquired data are divided into fault training samples and fault testing samples;
(2) establishing a Deep Belief Network (DBN) model with multiple hidden layers, determining the number of nodes of an input layer of the DBN model according to the sample dimensions of the fault training sample and the fault testing sample in the step (1), and performing unsupervised training on the DBN model by adopting the fault training sample; determining the number of output layer nodes of the DBN model according to the fault type of the metering automation terminal, and obtaining a connection weight and a bias parameter of the DBN model by adopting an unsupervised layer-by-layer greedy training method; and adjusting and optimizing the connection weight to obtain reference characteristics of various fault types, as shown in fig. 1.
The DBN is a typical deep learning method, can form more abstract high-level representation by combining bottom-level features, and finds out distributed features of data, and the motivation is to establish a model to simulate a neural network connection structure of a human brain and perform distributed representation on input data through a plurality of multilayer perceptrons with nonlinear operation hidden layers. The DBN is a multi-hidden-layer neural network which simulates the function of a human brain for processing external signals and consists of a plurality of RBMs (restricted Boltzmann machines), the core of the DBN is optimized by a layer-by-layer greedy learning algorithm, and compared with other traditional fault diagnosis methods, the DBN has the advantages that dependence on a large number of signal processing technologies and diagnosis experiences can be eliminated, and self-adaptive extraction of fault characteristics and intelligent diagnosis of health states can be completed. The RBM is a nerve perceptron and consists of a visible layer and a hidden layer, and the neurons of the visible layer and the neurons of the hidden layer are in full bidirectional connection. In the RBM, a weight w between any two connected neurons represents the connection strength of the neurons, and each neuron has a bias coefficient b (explicit layer neuron) and c (implicit layer neuron) to represent the weight of the neuron itself. Thus, the energy of an RBM can be represented by the following function:
Figure BDA0001793336260000071
since the state distribution of the RBM follows a regular distribution. The joint probability distribution of any group of visible layers and hidden layers is as follows:
Figure BDA0001793336260000072
in the formula, Z (theta) is a normalization factor, also called a partition function, h is a hidden layer neuron, and v is a visible layer neuron.
In an RBM, hidden layer neuron h is given visible layer node statejProbability of being activated:
P(hj|v)=σ(bj+∑iWi,jxi)
the probability that the apparent layer neurons can be activated by the hidden layer neurons as well due to the bidirectional connection:
P(vj|h)=σ(ci+∑jWi,jhj)
wherein σ is Sigmoid function.
The neurons in the same layer have independence, so the probability density also satisfies the independence, and the following formula is obtained:
Figure BDA0001793336260000081
Figure BDA0001793336260000082
the training of the DBN model comprises two parts, wherein one part is to carry out unsupervised training on a Restricted Boltzmann Machine (RBM) layer by layer, and the other part is to apply a back propagation algorithm to carry out fine adjustment on the DBN model so as to optimize the network structure of the DBN model; the specific training step comprises the following substeps:
(2.1) taking a fault training sample as the input of a DBN model, inputting a given training sample to a first layer RBM visible layer node, activating all nodes of a hidden layer by using a joint probability distribution function of RBM, and simultaneously, obtaining the visible layer node again by using the excitation of the hidden layer node; and then, calculating the conditional distribution of the visible layer data by using a contrast divergence algorithm to further obtain the hidden layer data, calculating the visible layer data by using the conditional distribution data of the hidden layer, reconstructing the visible layer data, and adjusting and updating the parameters of the RBM model.
RBM parameter θ ═ (w)ij,ai,bj) The contrast divergence learning algorithm is as follows:
Δwij=ε(<vihj>data-<vihj>model)
Δai=ε(<vi>data-<vi>model)
Δbj=ε(<hj>data-<hj>model)
wherein, Δ wijRepresents the updated difference value of the connection weight of the ith node of the visible layer and the jth node of the hidden layer, delta ai,ΔbjRespectively representing the updating difference values of the bias parameters of the ith node of the visible layer and the jth node of the hidden layer,< >data is a desire for the distribution of training data,< >model RBM model reconstructionThe expectation of the latter definition because< >model is difficult to calculate, so the use of the contrast bifurcation algorithm reduces the amount of operations, resulting in an improved learning algorithm as follows:
Δwij=ε(<vihj>data-<vihj>1)
Δai=ε(<vi>data-<vi>1)
Δbj=ε(<hj>data-<hj>1)
wherein,< >1the reconstruction sample is obtained by carrying out Gibbs sampling on the reconstruction sample for one time; epsilon is the learning rate, representing the step length of each parameter adjustment; h isjFor hidden layer neurons, viVisible layer neurons.
And (2.2) taking the first layer RBM hidden layer output as the visible layer input of the second layer RBM until the stable state is reached.
(2.3) repeating the step (2.2) until the last layer of RBM is finished, and finishing the RBM parameter theta to be (w)ij,ai,bj) Wherein a isiIs the bias of the ith node of the visible layer; bjIs the bias of the jth node of the hidden layer, wijIs the connection weight of the ith node of the visible layer and the jth node of the hidden layer.
(2.4) after the last layer of RBM hidden layer training is finished, carrying out reverse propagation network training on the fault type output by the last layer of hidden layer of the DBN model, carrying out backward propagation on the type errors of the fault type result output by training prediction and the actual type result of the fault training sample layer by layer, optimizing the connection weight of each layer of the whole DBN model, reconstructing an original data sample with the minimum error, thereby obtaining the essential characteristics of the original metering automation terminal data sample, and taking the essential characteristics as the reference characteristics of the metering automation terminal fault type.
(3) And (3) establishing the bandwidth of each fault type SVDD (Support Vector Domain Description, SVDD) model by using the reference characteristics in the step (2), and performing weighted normalization processing on the bandwidth radius of each fault hypersphere, so as to judge the fault type of the metering automation terminal and realize fault diagnosis of the metering automation terminal.
As shown in fig. 2, the specific steps of determining the fault type of the metering automation terminal include:
(3.1) constructing a minimum hypersphere containing a fault target training sample in a high-dimensional space subjected to kernel mapping, and using the fault test sample data divided in the step (1), regarding test data x falling outside the hypersphere as a non-target class, and regarding test data falling inside the hypersphere and at the boundary as a fault target class; the hypersphere is the classifier, and the vector on the hypersphere is the support vector; in the fault diagnosis, each fault hypersphere is trained to obtain each corresponding fault hypersphere as a fault mode library to identify the fault.
Suppose a sample set X of reference features of a fault training sample is { X ═ X1,x2,...,xn},xi∈RnEstablishing a Lagrangian function:
Figure BDA0001793336260000101
in the formula, alphaiAnd betaiIs Lagrange factor, ξii≧ 0) is a relaxation variable factor, C represents a penalty factor, φ (x)i) Mapping the original space to a high-dimensional space through a nonlinear mapping function, wherein r is the radius of a hyper-sphere;
(3.2) Lagrangian function a, xi to step (3.1)iAnd r is obtained by partial differentiation:
Figure BDA0001793336260000102
by optimizing the above formula, the optimal hypersphere classification problem is converted into its dual form:
Figure BDA0001793336260000103
K(xi,xj) Mapping the inner product of the fault data to a kernel function space for the kernel function with the constraint condition of
Figure BDA0001793336260000104
According to the KKT condition, utilizing a boundary support vector x satisfying a constraint conditionkFrom this, the hypersphere radius is determined as:
Figure BDA0001793336260000105
(3.3) determining the support vector data description SVDD, i.e. satisfying 0 ≦ αiC or less test data points, and the radius of the hyper-sphere is the distance value from any support vector data description SVDD to the center; if the radius distance from the test data point to the center of a certain hyper-sphere is less than or equal to r, the test point is indicated to belong to the fault data type, and the purpose of classifying the fault types of the metering automation terminal is achieved. The fault diagnosis method can automatically judge whether the metering automation terminal is a load control terminal, a special transformer terminal or a concentrator, improves the accuracy, effectiveness and real-time performance of fault diagnosis of the metering automation terminal, quickly and accurately diagnoses and positions faults, can further reduce manual intervention, and improves the automation and intelligence levels of fault diagnosis.
The above disclosure is only for the specific embodiments of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art can easily conceive of changes or modifications within the technical scope of the present invention, and shall be covered by the scope of the present invention.

Claims (6)

1. A metering automation terminal fault diagnosis method based on deep learning and support vector data description is characterized by comprising the following steps:
step (1): collecting sample data;
collecting voltage data and current data of the metering automation terminal in batches, reading and writing data streams of a local communication module, data streams of a remote communication module and switching value input and output state data, wherein the number of sampling points of each batch is kept consistent; after normalization preprocessing is carried out on the acquired data, the acquired data are divided into fault training samples and fault testing samples;
step (2): building a DBN model;
establishing a multi-hidden-layer DBN model, determining the number of nodes of an input layer of the DBN model according to the sample dimensions of the fault training sample and the fault testing sample in the step (1), and performing unsupervised training on the DBN model by adopting the fault training sample; determining the number of output layer nodes of the DBN model according to the fault type of the metering automation terminal, and obtaining a connection weight and a bias parameter of the DBN model by adopting an unsupervised layer-by-layer greedy training method; optimizing the connection weight to obtain reference characteristics of various fault types;
and (3): diagnosing faults;
and (3) establishing the bandwidth of each fault type SVDD model by using the reference characteristics in the step (2), and performing weighted normalization processing on the bandwidth radius of each fault hypersphere, so as to judge the fault type of the metering automation terminal and realize fault diagnosis of the metering automation terminal.
2. The method as claimed in claim 1, wherein in the step (2), the training of the DBN model includes two parts, one part is to perform unsupervised training of the RBM layer by layer, and the other part is to perform fine tuning of the DBN model by using a back propagation algorithm to optimize the network structure of the DBN model.
3. The metrology automation terminal fault diagnosis method of claim 2 wherein the specific training step of the DBN model comprises the substeps of:
step (2.1): taking a fault training sample as the input of a DBN model, inputting a given training sample to a first layer RBM visible layer node, activating all nodes of a hidden layer by using a joint probability distribution function of the RBM, and simultaneously, regaining the visible layer node by using the excitation of the hidden layer node; then, calculating the conditional distribution of the visible layer data by using a contrast divergence algorithm to obtain hidden layer data, calculating the visible layer data by using the conditional distribution data of the hidden layer, reconstructing the visible layer data, and adjusting and updating RBM model parameters;
step (2.2): taking the output of the first layer RBM hidden layer as the input of the visible layer of the second layer RBM until the state is stable;
step (2.3): and (3) repeating the step (2.2) until the last layer of RBM is completed, and finishing the RBM parameter theta ═ wij,ai,bj) Wherein a isiIs the bias of the ith node of the visible layer; bjIs the bias of the jth node of the hidden layer, wijIs the connection weight of the ith node of the visible layer and the jth node of the hidden layer;
step (2.4): after the last layer of RBM hidden layer training is completed, the fault type output by the last layer of hidden layer of the DBN model is trained through a back propagation network, the type error of the fault type result output by the training prediction and the type error of the actual type result of the fault training sample are propagated backwards layer by layer, the connection weight of each layer of the whole DBN model is optimized, the original data sample with the minimum error is reconstructed, and therefore the essential characteristic of the original metering automation terminal data sample is obtained and serves as the reference characteristic of the metering automation terminal fault type.
4. The method for diagnosing faults of a metering automation terminal as claimed in claim 3, characterized in that in step (2.1) the joint probability distribution function of the RBM is:
Figure FDA0002726033200000021
wherein Z (theta) is a normalization factor,
Figure FDA0002726033200000022
h is hidden layer neuron and v is visible layer neuron.
5. The metrology automation terminal fault diagnosis method of claim 3 wherein in step (2.1) the contrast divergence learning algorithm is:
Δwij=ε(<vihj>data-<vihj>1)
Δai=ε(<vi>data-<vi>1)
Δbj=ε(<hj>data-<hj>1)
wherein, Δ wijRepresents the updated difference value of the connection weight of the ith node of the visible layer and the jth node of the hidden layer, delta ai,ΔbjRespectively representing the updating difference values of the bias parameters of the ith node of the visible layer and the jth node of the hidden layer,<>datain order to train the expectation of the distribution of the data,<>1the method comprises the steps of carrying out Gibbs sampling on a sample to obtain a reconstructed sample; epsilon is the learning rate, representing the step length of each parameter adjustment; h isjFor hidden layer neurons, viVisible layer neurons.
6. The method for diagnosing faults of a metering automation terminal as claimed in claim 1, wherein in the step (3), the specific step of judging the fault type of the metering automation terminal comprises:
step (3.1): constructing a minimum hypersphere containing a fault target training sample in a high-dimensional space subjected to kernel mapping, and using the fault test sample data divided in the step (1), regarding test data x falling outside the hypersphere as a non-target class, and regarding test data falling inside the hypersphere and at the boundary as a fault target class;
suppose a sample set X of reference features of a fault training sample is { X ═ X1,x2,...,xn},xi∈RnEstablishing a Lagrangian function:
Figure FDA0002726033200000031
in the formula, alphaiAnd betaiIs Lagrange factor, ξii≧ 0) is a relaxation variable factor, C represents a penalty factor, φ (x)i) Mapping the original space to a high-dimensional space through a nonlinear mapping function, wherein r is the radius of a hypersphere, and a is the spherical center of the hypersphere;
step (3.2): lagrange function a, ξ for said step (3.1)iAnd r is obtained by partial differentiation:
Figure FDA0002726033200000032
by optimizing the above formula, the optimal hypersphere classification problem is converted into its dual form:
Figure FDA0002726033200000033
K(xi,xj) Mapping the inner product of the fault data to a kernel function space for the kernel function with the constraint condition of
Figure FDA0002726033200000034
According to the KKT condition, utilizing a boundary support vector x satisfying a constraint conditionkFrom this, the hypersphere radius is determined as:
Figure FDA0002726033200000035
step (3.3): determining the support vector data description SVDD, i.e. satisfying 0 ≦ αiC or less test data points, and the radius of the hyper-sphere is the distance value from any support vector data description SVDD to the center; if the test data point is at the center of a certain hyper-sphereIf the radius distance is less than or equal to r, the test data point belongs to the fault data type, and the purpose of classifying the fault types of the metering automation terminal is achieved.
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