CN114139614B - Fisher photovoltaic module hot spot diagnosis method and system based on typical correlation analysis feature extraction - Google Patents

Fisher photovoltaic module hot spot diagnosis method and system based on typical correlation analysis feature extraction Download PDF

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CN114139614B
CN114139614B CN202111374913.6A CN202111374913A CN114139614B CN 114139614 B CN114139614 B CN 114139614B CN 202111374913 A CN202111374913 A CN 202111374913A CN 114139614 B CN114139614 B CN 114139614B
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易辉
曾德山
蒋尚俊
田磊
李红涛
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Abstract

The invention provides a Fisher photovoltaic module hot spot diagnosis method based on typical correlation analysis feature extraction, which comprises the following steps of: s01, collecting photovoltaic data; s02, preprocessing data; s03, canonical correlation analysis; s04, constructing a training set and a test set; s05, Fisher discriminant analysis; and S06, fault diagnosis. The invention also provides a Fisher photovoltaic module hot spot diagnosis system based on typical correlation analysis feature extraction. The method can obtain the conclusion whether the photovoltaic module has faults or not only through data processing and analysis, has low detection cost, solves the problems that the prior art depends on auxiliary equipment and the hot spot fault detection cost is high, has real and reliable output results, and is suitable for wide popularization and application.

Description

Fisher photovoltaic module hot spot diagnosis method and system based on typical correlation analysis feature extraction
Technical Field
The invention belongs to the technical field of photovoltaic power generation, and particularly relates to a Fisher photovoltaic module hot spot diagnosis method and system based on typical correlation analysis feature extraction.
Background
Solar energy is widely applied to a photovoltaic power generation system as a clean and sustainable energy source, the related scientific research technical level of solar energy is rapidly improved since 2013 countries support the solar energy industry greatly, the enterprise competitiveness is continuously enhanced, the market share is continuously expanded, and the quantity of new devices is the first worldwide.
Since the solar panels for photovoltaic power generation need to be erected in the outdoor natural environment, a plurality of failure problems are inevitably generated in part of the photovoltaic modules. The main faults of the photovoltaic module include open-circuit faults, short-circuit faults, module fragmentation, bypass diode failure, performance aging and the like. The hot spot phenomenon generated by the photovoltaic module due to shielding of objects such as floating soil, bird droppings, leaves and the like is one of the most common faults.
Because most of photovoltaic power generation systems are located on a roof with sufficient sunlight or in remote areas with severe environments, the automation degree of the manual inspection technology is low, the cost is huge, certain danger also exists, faults are difficult to find, maintenance and treatment cannot be performed in time, and economic loss is caused.
Along with the development of digital information technology, also made long-standing progress to photovoltaic module's fault research, current intelligent detection technique mainly gathers infrared information with the help of external equipment, like unmanned aerial vehicle. This approach increases the economic cost of photovoltaic power generation and the complexity of the system, and is not widely used.
Disclosure of Invention
In order to solve the technical problems, the invention aims to provide a Fisher photovoltaic module hot spot diagnosis method and system based on typical correlation analysis feature extraction, so as to solve the problems that the prior art depends on auxiliary equipment and is high in cost.
In order to solve the technical problems, the technical scheme adopted by the invention is as follows:
a Fisher photovoltaic module hot spot diagnosis method based on typical correlation analysis feature extraction comprises the following steps:
s01, collecting photovoltaic data;
s02, preprocessing data;
s03, canonical correlation analysis;
s04, constructing a training set and a testing set;
s05, Fisher discriminant analysis;
and S06, fault diagnosis.
S01 includes the following: and acquiring data X of a plurality of characteristic variables of the photovoltaic module in a normal state and a hot spot fault state to obtain a data set X.
S02 includes the following: for the data set X epsilon R n×m Carrying out standardization processing, and then arbitrarily dividing the data set X into two subdata sets X according to the characteristic variables of the data set X 1 And X 2
Wherein R represents a real number set, data X in the data set X are real numbers, and n rows and m columns exist in the real number set R.
S03 includes the following: computing two subdata sets X 1 And X 2 The individual covariance and cross covariance of (a) are as follows:
Figure BDA0003360849690000021
Figure BDA0003360849690000031
Figure BDA0003360849690000032
wherein the content of the first and second substances,
Figure BDA0003360849690000033
is X 1 The covariance of (a) of (b),
Figure BDA0003360849690000034
is X 2 The covariance of (a) of (b),
Figure BDA0003360849690000035
is X 1 And X 2 Cross covariance of (2);
constructing a matrix gamma, and decomposing the singular value of the matrix gamma, wherein a formula adopted by the matrix gamma is expressed as:
Figure BDA0003360849690000036
Figure BDA0003360849690000037
Figure BDA0003360849690000038
Figure BDA0003360849690000039
wherein k represents the number of non-zero singular values, and k is less than or equal to min (N) 1 ,N 2 ) I.e. k and N 1 ,N 2 Medium and small are consistent; lambda k =diag(λ 1 …λ k );λ 1 ≥λ 2 ≥…≥λ k Is a singular value; ζ represents a unit i ,i=1,…,N 1 And xi j ,j=1,…,N 2 Corresponding singular vectors are taken; n is a radical of 1 Representing a subdata set X 1 The number of data of all the characteristic variables in the database; n is a radical of hydrogen 2 Representing a subdata set X 2 The number of data of all the characteristic variables in the database;
calculating to obtain projection vectors a and b, wherein the adopted formula is as follows:
Figure BDA00033608496900000310
Figure BDA00033608496900000311
calculating to obtain a projection sample X 1 And X 2 ', the formula used is:
Figure BDA0003360849690000041
Figure BDA0003360849690000042
s04 includes the following: combine to new data set X '═ X' 1 X′ 2 ] T ∈R 2×m And is divided into training sets X 'after normalizing the new data set X' tr ∈R 2×d And test set X' t ∈R 2×(m-d)
S05 includes the following: calculating an intra-class divergence matrix S of a training set w The formula used is:
Figure BDA0003360849690000043
wherein, X i Representing an ith sample, wherein the values of i are 0 and 1, when i is 0, the ith sample is a normal sample, and when i is 1, the ith sample is a fault sample; the normal sample is photovoltaic data collected in a normal state, and the fault sample is photovoltaic data collected in a hot spot fault state;
μ i represents the mean of the class i samples;
Figure BDA0003360849690000044
wherein m is i Representing the total number of the ith sample;
and (3) introducing a Lagrange multiplier method to obtain the optimal discrimination direction:
Figure BDA0003360849690000045
wherein, mu 0 Represents the mean of normal samples; mu.s 1 Represents the mean of the failure samples.
S06 includes the following: classifying the test set based on the projection of a discrimination axis w, wherein the adopted formula is as follows:
y=w T X′ t (15)
identifying whether a fault occurs, if different types of points after projection can be distinguished, indicating that a hot spot fault occurs; if the points of different types are mixed together, the hot spot fault does not occur.
The characteristic variables include open circuit voltage, short circuit current, maximum power point voltage, maximum power point current, maximum power, fill factor, temperature, and illumination amplitude.
The method for the standardization treatment comprises the following steps: processing the data x to be between-1 and 1; adopts the formula of
Figure BDA0003360849690000051
Wherein mu represents mean value, sigma represents variance, i.e. n rows of data, each row is processed once, mean value is calculated, variance is calculated, and then each data x of the row is calculated by formula
Figure BDA0003360849690000052
The calculation yields results lying between-1 and 1.
The system of the Fisher photovoltaic module hot spot diagnosis method based on typical correlation analysis feature extraction is adopted.
The invention has the beneficial effects that: the method can obtain the conclusion whether the photovoltaic module has faults or not only through data processing and analysis, has low detection cost, solves the problems that the prior art depends on auxiliary equipment and the hot spot fault detection cost is high, has real and reliable output results, and is suitable for wide popularization and application.
In addition, the traditional Fisher discriminant analysis belongs to a linear analysis method, but the photovoltaic system belongs to a typical nonlinear system.
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FIG. 1 is a flow chart of hot spot fault diagnosis of the present invention.
Detailed Description
The Fisher photovoltaic module hot spot diagnosis method and system based on typical correlation analysis feature extraction of the invention are further described in detail with reference to the accompanying drawings and the specific implementation method.
As shown in fig. 1, a Fisher photovoltaic module hot spot diagnosis method based on typical correlation analysis feature extraction includes the following steps:
step 1: and collecting photovoltaic data. The method comprises the following steps of collecting photovoltaic data in a normal state and various hot spot fault states, wherein main measurement parameters are as follows: open circuit voltage, short circuit current, maximum power point voltage, maximum power point current, maximum power, fill factor, temperature, illumination amplitude.
Step 2: and (4) preprocessing data. For data set X is belonged to R n×m And carrying out standardization processing, and dividing into two subdata sets according to the characteristic variable parameters. The manner in which the two subdata sets are partitioned is arbitrary, such as 4 characteristic variables (X) 1 ) And 4 characteristic variables (X) 2 ) A set of, or 3, characteristic variables (X) 1 ) And 5 characteristic variables (X) 2 ) One group, and so on.
Normalization is the processing of data between-1 and 1. Adopts the formula of
Figure BDA0003360849690000061
Where μ represents the mean and σ represents the variance. For the n-line data set, each line is processed once, for example, the first line, the mean value is calculated, the variance is calculated, and then each data of the line is formulated to obtain the result. And after changing a line, calculating the mean value and the variance, and obtaining a result by using a formula.
And step 3: typical correlation analysis. Calculating the individual covariance and cross covariance of the two subdata sets using the formula:
Figure BDA0003360849690000062
wherein X 1 And X 2 For the two sub-data sets to be,
Figure BDA0003360849690000063
is X 1 The covariance of (a) of (b),
Figure BDA0003360849690000064
is X 2 The covariance of (a) of (b),
Figure BDA0003360849690000065
is X 1 And X 2 Cross covariance of (2);
constructing a matrix gamma, and decomposing the singular value of the matrix gamma, wherein a formula adopted by the matrix gamma is expressed as:
Figure BDA0003360849690000071
wherein k represents the number of non-zero singular values, and k is less than or equal to min (N) 1 ,N 2 )。Λ k =diag(λ1…λk),λ 1 ≥λ 2 ≥…≥λ k Are singular values. Zeta i ,i=1,…,N 1 And xi j ,j=1,…,N 2 Is the corresponding singular vector; n is a radical of 1 And N 2 Respectively represent two subdata sets X 1 And X 2 The number of data in the sequence. Singular values are k, the magnitude of k and N 1 、N 2 Medium, and small. Each singular value has left and right singular vectors.
Calculating to obtain projection vectors a and b, wherein the adopted formula is as follows:
Figure BDA0003360849690000072
calculating to obtain a projection sample X 1 ' and X 2 ', the formula used is:
Figure BDA0003360849690000073
and 4, step 4: and constructing a training set and a testing set. Combine to new data set X '═ X' 1 X′ 2 ] T ∈R 2×m And dividing the new data set X ' into a training set X ' after normalization ' tr ∈R 2×d And test set X' t ∈R 2×(m-d)
d is divided according to actual requirements. The original data set X is 2 rows and m columns, 2 rows and d columns are divided into a training set in the embodiment, and the remaining 2 rows and m-d columns are a testing set.
And 5: fisher discriminant analysis. Calculating an inter-class divergence matrix S of a training set b And an intra-class divergence matrix S w The formula adopted is as follows:
S b =(μ 10 )(μ 10 ) T
Figure BDA0003360849690000081
wherein the content of the first and second substances,
Figure BDA0003360849690000082
the mean value of the ith sample is obtained; m is i The total number of samples representing the ith class is 300 and 700, which are exemplified below.
X i And representing the ith sample, wherein the value of i is 0 and 1, which indicates that the samples are two types in total, one type is a normal sample, and the other type is a fault sample.
In step 4, the present embodiment divides the training set and the test set, and both data sets include normal samples and fault samples. For example, 1000 samples are initially taken, 300 normal samples are obtained, and 700 hot spot failure samples are obtained. The ratio of the total weight of the composition can be 1: 4, dividing the test sample into a training set and a testing set, wherein the training set comprises 200 samples, 60 normal samples and 140 hot spot fault samples; there were 800 test sets with 240 normal samples and 560 hot spot samples.
And (3) introducing a Lagrange multiplier method to obtain the optimal discrimination direction:
Figure BDA0003360849690000083
step 6: and (5) fault diagnosis. Classifying the test set based on the projection of a discrimination axis w, wherein the adopted formula is that y is equal to w T X′ t And identifying whether a fault occurs. If the different types of points after projection can be distinguished, hot spot faults are shown; if the points of different types are mixed together, the hot spot fault does not occur.
w is the discrimination direction (i.e., discrimination axis), X' t For the test set, y is a projection result, is a two-dimensional vector, and can finally draw a coordinate graph, wherein the result is the condition of looking at different types of points in the coordinate graph.
The points in different categories are two categories, namely a normal sample and a test sample, if the test sample is distinguished from the normal sample, the test sample is a fault, and if the test sample is mixed with the normal sample and is not distinguished, the test sample is normal and no fault occurs.
Meanwhile, the embodiment provides a system adopting the Fisher photovoltaic module hot spot diagnosis method based on the typical correlation analysis feature extraction.
The above description is only of the preferred embodiments of the present invention, and it should be noted that: it will be apparent to those skilled in the art that various modifications and adaptations can be made without departing from the principles of the invention and these are intended to be within the scope of the invention.

Claims (3)

1. An application of a Fisher photovoltaic module hot spot diagnosis method based on typical correlation analysis feature extraction in a nonlinear photovoltaic system is characterized in that the diagnosis method comprises the following steps:
s01, collecting photovoltaic data;
s02, preprocessing data;
s03, typical correlation analysis;
s04, constructing a training set and a test set;
s05, Fisher discriminant analysis;
s06, fault diagnosis;
s01 includes the following: acquiring data X of a plurality of characteristic variables of the photovoltaic module in a normal state and a hot spot fault state to obtain a data set X;
s02 includes the following: for the data set X epsilon R n×m Carrying out standardization processing, and then arbitrarily dividing the data set X into two subdata sets X according to the characteristic variables of the data set X 1 And X 2
Wherein R represents a real number set, data X in the data set X are real numbers, and n rows and m columns are arranged in the real number set R;
s03 includes the following: computing two subdata sets X 1 And X 2 The individual covariance and cross covariance of (a) are as follows:
Figure FDA0003799278690000011
Figure FDA0003799278690000012
Figure FDA0003799278690000021
wherein, the first and the second end of the pipe are connected with each other,
Figure FDA0003799278690000022
is X 1 The covariance of (a) of (b),
Figure FDA0003799278690000023
is X 2 The covariance of (a) of (b),
Figure FDA0003799278690000024
is X 1 And X 2 Cross covariance of (2);
constructing a matrix gamma, and decomposing the singular value of the matrix gamma, wherein a formula adopted by the matrix gamma is expressed as follows:
Figure FDA0003799278690000025
Figure FDA0003799278690000026
Figure FDA0003799278690000027
Figure FDA0003799278690000028
wherein k represents the number of non-zero singular values, and k is less than or equal to min (N) 1 ,N 2 ) I.e. k and N 1 ,N 2 Medium and small are consistent; lambda k =diag(λ 1 …λ k );λ 1 ≥λ 2 ≥…≥λ k Is a singular value; zeta i ,i=1,…,N 1 And xi j ,j=1,…,N 2 Corresponding singular vectors are taken; n is a radical of 1 Represents a subdata set X 1 The number of data of all the characteristic variables in the database; n is a radical of 2 Representing a subdata set X 2 The number of data of all the characteristic variables in the database;
calculating to obtain projection vectors a and b, wherein the adopted formula is as follows:
Figure FDA0003799278690000029
Figure FDA00037992786900000210
calculating to obtain a projection sample X 1 ' and X 2 ', the formula used is:
Figure FDA00037992786900000211
Figure FDA0003799278690000031
s04 includes the following: combine to new data set X '═ X' 1 X' 2 ] T ∈R 2×m And is divided into training sets X 'after normalizing the new data set X' tr ∈R 2×d And test set X' t ∈R 2×(m-d)
S05 bagThe method comprises the following steps: calculating an intra-class divergence matrix S of a training set w The formula adopted is as follows:
Figure FDA0003799278690000032
wherein, X i Representing an ith sample, wherein the values of i are 0 and 1, when i is 0, the ith sample is a normal sample, and when i is 1, the ith sample is a fault sample; the normal sample is photovoltaic data collected in a normal state, and the fault sample is photovoltaic data collected in a hot spot fault state;
μ i represents the mean of the class i samples;
Figure FDA0003799278690000033
wherein m is i Representing the total number of the ith sample;
and introducing a Lagrange multiplier method to obtain the optimal discrimination direction:
Figure FDA0003799278690000034
wherein, mu 0 Represents the mean of normal samples; mu.s 1 A mean value representing a sample of the fault;
s06 includes the following: classifying the test set based on the projection of a discrimination axis w, wherein the adopted formula is as follows:
y=w T X′ t (15)
identifying whether a fault occurs, if different types of points after projection can be distinguished, indicating that a hot spot fault occurs; if the points of different types are mixed together, the hot spot fault does not occur.
2. The use of a Fisher photovoltaic module hotspot diagnostic method based on canonical correlation analysis feature extraction in a nonlinear photovoltaic system according to claim 1, wherein the feature variables include open circuit voltage, short circuit current, maximum power point voltage, maximum power point current, maximum power, fill factor, temperature, and light irradiance.
3. The application of the Fisher photovoltaic module hotspot diagnosis method based on the canonical correlation analysis feature extraction in the nonlinear photovoltaic system as claimed in claim 1, wherein the normalization processing method comprises the following steps: processing data x to between-1 and 1; adopts the formula of
Figure FDA0003799278690000041
Wherein mu represents mean, sigma represents variance, i.e. n rows of data are processed once for each row, mean is calculated, variance is calculated, and then each data x of the row is formulated
Figure FDA0003799278690000042
The calculation yields results lying between-1 and 1.
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