CN108537414A - A kind of fault arc detection method based on LDA algorithm - Google Patents
A kind of fault arc detection method based on LDA algorithm Download PDFInfo
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- CN108537414A CN108537414A CN201810227331.7A CN201810227331A CN108537414A CN 108537414 A CN108537414 A CN 108537414A CN 201810227331 A CN201810227331 A CN 201810227331A CN 108537414 A CN108537414 A CN 108537414A
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Abstract
The fault electric arc recognition methods based on LDA algorithm that the invention discloses a kind of, includes the following steps:One, sample characteristics extract:Extract electric current flat shoulder time, current-jump value ratio, electric current substantially this four main features of the standard deviation of current average in the number, 1s of saltus step in 1s;Two, it is based on LDA algorithm and carries out sample training;Three, online judgment step:Judge whether to belong to fault electric arc.The fault electric arc recognition methods based on LDA algorithm of the present invention, takes full advantage of large sample, avoids the mode of artificial selected threshold.
Description
Technical field
The invention belongs to faults to judge field, specifically a kind of fault arc detection method based on LDA algorithm.
Background technology
The fault judgment method of mainstream is typically the artificial feature for choosing current waveform at present, then by manually choosing fixation
Threshold decision whether belong to fault electric arc.Fault electric arc can carry out the simulation under various scenes, various loadtypes, compare
It is easy to generate a larger sample database.But by the method for manual analysis selected threshold, it is difficult to make full use of full-page proof
This.
Invention content
In order to solve the above technical problems existing in the prior art, the event based on LDA algorithm that the present invention provides a kind of
Hinder electric arc recognition methods, includes the following steps:
One, sample characteristics extract:Extract electric current flat shoulder time, current-jump value ratio, in 1s electric current substantially saltus step time
This four main features of the standard deviation of current average in number, 1s;
Two, it is based on LDA algorithm and carries out sample training;
Three, online judgment step:Judge whether to belong to fault electric arc.
Further, the time of the current-jump in a power frequency period is denoted as tpulse, calculate from tpulseExtreme value afterwards
Point, extreme point time are denoted as textreme, then the electric current flat shoulder time be:
tflat=textreme-tpulse。
Further, Δ ipulseIt is denoted as current-jump value, the sampling number in a power frequency period is P, in power frequency period
Average current it is poor:Then current-jump ratio calculates as follows:
Further, the number of electric current substantially saltus step is denoted as N in 1spulse_num。
Further, if the current average in each period isThe average value being denoted as in N number of period
(N=50), then the standard deviation standard deviation of current average is in 1s:
Further, step 2 is specially:N samples for including aforementioned four main feature of acquisition, preceding n1A sample category
In class w1, behind n2A sample belongs to class w2;
(1) each sample mean vector m is calculatedi, i=1,2
X is sample;
(2) within class scatter matrix S is calculatediWith total within class scatter matrix Sw
Sw=S1+S2;
(3) inter _ class relationship matrix S is calculatedb
Sb=(m1-m2)(m1-m2)T;
(4) it calculatesMaximal eigenvector, be denoted as w, w is required kernel projection vector.
Further, step 3 is specially:
(1) assume that the feature for needing certain sampling is denoted as s;
(2) minimum ranges of the feature x after projection with two class samples is calculated
d1=min | wTxi-wTs|},xi∈ samples w1;
d2=min | wTxi-wTs|},xi∈ samples w2;
(3) if d1<d2Then prediction result belongs to d1Class belongs to fault electric arc;If d1>=d2Then prediction result belongs to
d2Class belongs to non-faulting electric arc.
The fault electric arc recognition methods based on LDA algorithm of the present invention, takes full advantage of large sample, avoids artificial selection
The mode of threshold value.
Specific implementation mode
The invention will be further described below.
The fault electric arc recognition methods based on LDA algorithm of the present invention, includes the following steps:
1. sample characteristics extract
Extract 4 main features such as following A, B, C, D:
The flat shoulder time (feature A) of electric current:Since most of scene has other loads in practice, electric current can not be directly measured
The flat shoulder time.The time of current-jump in one power frequency period (20ms) is denoted as t by the present inventionpulse, then calculate from tpulseAfterwards
Extreme point, the extreme point time is denoted as textreme.Then the electric current flat shoulder time is:
tflat=textreme-tpulse
Current-jump value ratio (feature B):ΔipulseIt is denoted as current-jump value, the sampling number in a power frequency period is
P, the average current in power frequency period it is poor:Then saltus step ratio calculates as follows,
The number (feature C) of electric current substantially saltus step in 1s:It is each during due to the electric appliances normal use such as Switching Power Supply
Period all can there is a situation where current-jumps.And a feature of usually fault electric arc is that the duration is short, intermittently, therefore
Current-jump number is as a feature:Npulse_num;
The standard deviation (feature D) of current average in 1s:If the current average in each period is,Note
For the average value (N=50) in N number of period, then standard deviation is:
2. the sample training (projection vector calculating step) based on LDA algorithm
N samples for including above-mentioned 4 dimensional feature of acquisition, preceding n1A sample belongs to class w1(fault electric arc), behind n2A sample
Belong to class w2(non-faulting electric arc);
(5) each sample mean vector m is calculatedi, i=1,2
(6) within class scatter matrix S is calculatediWith total within class scatter matrix Sw
Sw=S1+S2
(7) inter _ class relationship matrix S is calculatedb
Sb=(m1-m2)(m1-m2)T
(8) it calculatesMaximal eigenvector, be denoted as w, w is required kernel projection vector.
3. online judgment step (judging whether to belong to fault electric arc)
(4) assume that the feature for needing certain sampling is denoted as s;
(5) minimum ranges of the feature x after projection with two class samples is calculated
d1=min | wTxi-wTs|},xi∈ samples w1
d2=min | wTxi-wTs|},xi∈ samples w2
(6) if d1<d2Then prediction result belongs to d1Class belongs to fault electric arc;If d1>=d2Then prediction result belongs to
d2Class belongs to non-faulting electric arc.
Claims (7)
1. a kind of fault electric arc recognition methods based on LDA algorithm, includes the following steps:
One, sample characteristics extract:Extract electric current flat shoulder time, current-jump value ratio, in 1s electric current substantially saltus step number, 1s
This four main features of the standard deviation of interior current average;
Two, it is based on LDA algorithm and carries out sample training;
Three, online judgment step:Judge whether to belong to fault electric arc.
2. the fault electric arc recognition methods based on LDA algorithm as described in claim 1, it is characterised in that:
The time of current-jump in one power frequency period is denoted as tpulse, calculate from tpulseExtreme point afterwards, extreme point time
It is denoted as textreme, then the electric current flat shoulder time be:
tflat=textreme-tpulse。
3. the fault electric arc recognition methods based on LDA algorithm as described in claim 1, it is characterised in that:
ΔipulseIt is denoted as current-jump value, the sampling number in a power frequency period is P, and the average current in power frequency period is poor:Then current-jump ratio calculates as follows:
4. the fault electric arc recognition methods based on LDA algorithm as described in claim 1, it is characterised in that:
The number of electric current substantially saltus step is denoted as N in 1spulse_num。
5. the fault electric arc recognition methods based on LDA algorithm as described in claim 1, it is characterised in that:
If the current average in each period is The average value (N=50) being denoted as in N number of period, then in 1s
The standard deviation standard deviation of current average is:
6. the fault electric arc recognition methods based on LDA algorithm as described in claim 1, it is characterised in that:
Step 2 is specially:N samples for including aforementioned four main feature of acquisition, preceding n1A sample belongs to class w1, behind n2It is a
Sample belongs to class w2;
(1) each sample mean vector m is calculatedi, i=1,2
X is sample;
(2) within class scatter matrix S is calculatediWith total within class scatter matrix Sw
Sw=S1+S2;
(3) inter _ class relationship matrix S is calculatedb
Sb=(m1-m2)(m1-m2)T;
(4) it calculatesMaximal eigenvector, be denoted as w, w is required kernel projection vector.
7. the fault electric arc recognition methods based on LDA algorithm as claimed in claim 6, it is characterised in that:
Step 3 is specially:
(1) assume that the feature for needing certain sampling is denoted as s;
(2) minimum ranges of the feature x after projection with two class samples is calculated
d1=min | wTxi-wTs|},xi∈ samples w1;
d2=min | wTxi-wTs|},xi∈ samples w2;
(3) if d1<d2Then prediction result belongs to d1Class belongs to fault electric arc;If d1>=d2Then prediction result belongs to d2
Class belongs to non-faulting electric arc.
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Cited By (1)
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CN110244198A (en) * | 2019-05-09 | 2019-09-17 | 山东优柏电子科技有限公司 | Resistive load serial arc detection method and application based on compound criterion |
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CN106707094A (en) * | 2015-11-12 | 2017-05-24 | 沈阳工业大学 | Classification recognition method of arc fault of low voltage power supply and distribution line |
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CN105403816A (en) * | 2015-10-30 | 2016-03-16 | 国家电网公司 | Identification method of DC fault electric arc of photovoltaic system |
CN106707094A (en) * | 2015-11-12 | 2017-05-24 | 沈阳工业大学 | Classification recognition method of arc fault of low voltage power supply and distribution line |
CN106326915A (en) * | 2016-08-10 | 2017-01-11 | 北京理工大学 | Improved-Fisher-based chemical process fault diagnosis method |
CN106961248A (en) * | 2017-04-25 | 2017-07-18 | 西安交通大学 | Mix the photovoltaic system fault arc detection method of quadratic form time-frequency distributions feature and the analysis of self adaptation multiplicative function |
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CN110244198A (en) * | 2019-05-09 | 2019-09-17 | 山东优柏电子科技有限公司 | Resistive load serial arc detection method and application based on compound criterion |
CN110244198B (en) * | 2019-05-09 | 2022-03-01 | 山东优柏电子科技有限公司 | Resistive load series arc detection method based on composite criterion and application |
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