CN107153150A - A kind of power distribution network over-voltage fault type recognition method and device - Google Patents
A kind of power distribution network over-voltage fault type recognition method and device Download PDFInfo
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- CN107153150A CN107153150A CN201710494477.3A CN201710494477A CN107153150A CN 107153150 A CN107153150 A CN 107153150A CN 201710494477 A CN201710494477 A CN 201710494477A CN 107153150 A CN107153150 A CN 107153150A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/08—Locating faults in cables, transmission lines, or networks
- G01R31/081—Locating faults in cables, transmission lines, or networks according to type of conductors
- G01R31/086—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
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Abstract
The present invention provides a kind of power distribution network over-voltage fault type recognition method, comprises the following steps:Obtain residual voltage waveform sampling data x (t);It is main modal components y (t) to take the maximum IMF signals of coefficient correlation C;Calculate y (t) marginal spectrum h (ω);Judge occur Subharmonic Resonance failure when the energy accounting of 10Hz 40Hz frequency ranges in h (ω) is more than 50%;Judge occur high-frequency resonant failure when the energy accounting of 100Hz 150Hz frequency ranges in h (ω) is more than 50%;Otherwise x (t) and standard singlephase earth fault residual voltage waveform overall similarity S are calculated, when S is less than the similarity threshold K pre-set, judges occur fundamental resonance failure, otherwise judges occur singlephase earth fault.The present invention can automatic identification resonance overvoltage type and singlephase earth fault, algorithm is simple, calculates that the time is few, and strong antijamming capability, recognition correct rate is high.
Description
Technical field
The present invention relates to a kind of power distribution network over-voltage fault type recognition method and device.
Background technology
Power distribution network is the intermediate link for contacting power station, transformer station and terminal user, is in the end of power system, typically
Refer to the electric power networks of 35kV and following voltage class.Power distribution network has a very wide distribution, and network branches are numerous, complicated, and it is most
Big the characteristics of is directly to be closely connected with user, can intuitively reflect that electricity consumption of the user in terms of safety, quality, economic dispatch will
Ask.In distribution system actual motion, ferromagnetic resonance and singlephase earth fault can cause power distribution network over-voltage failure to occur, this
Plant trouble duration long, easily cause device damage, cause many insulation faults.Power distribution network over-voltage failure includes resonance mistake
The type of voltage and singlephase earth fault, wherein resonance overvoltage includes fundamental resonance, high-frequency resonant and Subharmonic Resonance, and fundamental frequency
Resonance overvoltage waveform is similar to singlephase earth fault waveform height, and it is humorous that existing detection technique automatic accurate can not distinguish fundamental frequency
Shake, high-frequency resonant, Subharmonic Resonance and singlephase earth fault, be more that artificial experience judges that efficiency is low and accuracy is not high, warp
Often there is erroneous judgement, be unfavorable for taking distribution network system suitable braking measure and the processing of repair and maintenance personnel.
The content of the invention
The purpose of the present invention is in view of the shortcomings of the prior art, to propose a kind of power distribution network over-voltage fault type recognition method
And device, can automatic identification resonance overvoltage type and singlephase earth fault, algorithm is simple, and it is few to calculate the time, anti-interference energy
Power is strong, and recognition correct rate is high.
The present invention is achieved through the following technical solutions:
A kind of power distribution network over-voltage fault type recognition method, comprises the following steps:
A, monitoring power distribution network residual voltage, when residual voltage is more prescribed a time limit, obtain residual voltage waveform sampling data x (t);
B, the coefficient correlation C that multiple IMF signals, each IMF signals of calculating and x (t) are obtained to x (t) progress EMD decomposition, take
IMF signals maximum coefficient correlation C are main modal components y (t);
C, Hilbert conversion is carried out to y (t) obtain Hilbert time-frequency spectrums H (ω, t), and (ω t) is integrated to H
To Hilbert marginal spectrums h (ω);
D, whether the energy accountings of 10Hz-40Hz frequency ranges in h (ω) is judged more than 50%, if so, judging to occur frequency dividing humorous
Shake failure, otherwise, into step E;
E, whether the energy accountings of 100Hz-150Hz frequency ranges in h (ω) is judged more than 50%, if so, judging occur high frequency
Resonance failure;Otherwise, into step F;
F, the coefficient R that x (t) and standard singlephase earth fault residual voltage waveform z (t) is calculated respectively, x (t) are maximum
The energy accounting F of 45-55Hz frequency ranges in singular value Q, h (ω) of difference H, x (t) singular value decomposition of peak value and minimum peak,
And it is similar to the entirety of standard singlephase earth fault residual voltage waveform according to formula S=a*R+b*H+c*Q+d*F to obtain x (t)
S is spent, wherein, a, b, c, d ∈ [0,1];
G, the similarity threshold K for comparing S and pre-setting size, as S < K, judge occur fundamental resonance failure, no
Then judge occur singlephase earth fault.
Further, in the step A, residual voltage is worked asWhen, judge that residual voltage U is out-of-limit, wherein,
For phase voltage.
Further, coefficient correlation C calculation formula is in the step B:Its
In,X (i) is i-th point of x (t) sampled value, and y (i) is the sampling of a certain i-th point of IMF components
Value, N is sampling number.
Further, the step F comprises the following steps:
F1, processing is synchronized to x (t) and z (t), and x (t) and z (t) are normalized obtain x ' (t) respectively
With z ' (t), formula is utilizedCoefficient R is calculated, wherein,
X ' (i) is i-th point of x ' (t) sampled value, and z ' (i) is i-th point of z ' (t) sampled value, and N is sampling number;
F2, the difference H for calculating x (t) peak-peak and minimum peak;Singular value decomposition is carried out to x (t), singular value is obtained
Q;Calculate the energy accounting F of 45-55Hz frequency ranges in h (ω);
F3, the value for determining using Information Entropy weight a, b, c, d;
F4, calculating overall similarity S.
Further, the step F3 comprises the following steps:
F31, using R, H, Q, F as four indexs, each index takes n sample to constitute raw data matrix A=
(aij)4×n, matrix A '=(a is obtained to matrix A normalizationij′)4×n, wherein, normalization formula is:
F32, acquisition proportion matrix B=(bij)4×n, bijJ-th of sample under i-th of index is represented, is specially:
F33, the entropy for calculating i-th of index:Wherein, k=1/lnn;
F44, the weights for calculating i-th of index:A, b, c, d respectively with corresponding wiCorrespondence.
Further, the energy accounting accounts for accounting for for total sampled point number for the number of sampled point in corresponding frequencies region
Than.
Further, the similarity threshold K spans described in the step G are K ∈ [85%, 95%].
The present invention is also achieved through the following technical solutions:
A kind of power distribution network over-voltage fault type recognition device, including:
Data acquisition module:Power distribution network residual voltage is monitored, when residual voltage is more prescribed a time limit, residual voltage waveform sampling is obtained
Data x (t);
Master mode component determining module:EMD decomposition is carried out to x (t) and obtains multiple IMF signals, each IMF signals and x is calculated
(t) coefficient correlation C, it is main modal components y (t) to take the maximum IMF signals of coefficient correlation C;
Marginal spectrum determining module:To y (t) carry out Hilbert conversion obtain Hilbert time-frequency spectrums H (ω, t), and to H
(ω t) is integrated and obtains Hilbert marginal spectrums h (ω);
Breakdown judge module:When the energy accounting of 10Hz-40Hz frequency ranges in h (ω) is more than 50%, judgement is divided
Resonance failure;When the energy accounting of 100Hz-150Hz frequency ranges in h (ω) is more than 50%, judge occur high-frequency resonant failure;It is no
Then, calculate respectively x (t) and standard singlephase earth fault residual voltage waveform z (t) coefficient R, x (t) peak-peaks with most
The energy accounting F of 45-55Hz frequency ranges in singular value Q, h (ω) of difference H, x (t) singular value decomposition of small leak, and according to public affairs
Formula S=a*R+b*H+c*Q+d*F obtains x (t) and standard singlephase earth fault residual voltage waveform overall similarity S, by S with
Similarity threshold K is compared, as S < K, judges occur fundamental resonance failure, otherwise judges occur singlephase earth fault, its
In, a, b, c, d ∈ [0,1].
Further, coefficient correlation C calculation formula is in the master mode component determining module:
Wherein,X (i) is i-th point of x (t) sampled value, and y (i) adopts for a certain i-th point of IMF components
Sample value, N is sampling number.
Further, the energy accounting in the breakdown judge module is accounted for always for the number of sampled point in corresponding frequencies region
The accounting of sampled point number.
The present invention has the advantages that:
1st, the present invention can imperfectly describe zero sequence electricity using the Hilbert spectrums obtained by EMD, Hilbert conversion and marginal spectrum
Time-frequency characteristics of the corrugating in fundamental frequency frequency range, frequency dividing frequency range and high-frequency band, so that automatic according to the energy ratio of corresponding band
Subharmonic Resonance, high-frequency resonant are recognized, for fundamental resonance, according to the phase of residual voltage waveform and standard singlephase earth fault waveform
Relation number, the difference of residual voltage waveform peak-peak and minimum peak, the singular value of residual voltage waveform singular value boundary, zero
Energy ratio of the sequence voltage waveform in fundamental frequency sub-band, to calculate the whole of residual voltage waveform and standard singlephase earth fault waveform
Body similarity, so as to effectively distinguish singlephase earth fault and fundamental resonance, arranges beneficial to corresponding suppression is taken distribution network system
Apply, facilitate repair and maintenance personnel to be handled in time for corresponding failure, and without grader in calculating process, algorithm is simple,
The calculating time is few, strong antijamming capability.
2nd, the present invention calculates each coefficient used during overall similarity and determined by Information Entropy, makes the value of each coefficient more
Science, improves the accuracy rate of identification fundamental resonance and singlephase earth fault, the present invention is had higher recognition correct rate.
Brief description of the drawings
The present invention is described in further details below in conjunction with the accompanying drawings.
Fig. 1 is the flow chart of the inventive method.
Fig. 2 is step F of the present invention flow chart.
Embodiment
As depicted in figs. 1 and 2, power distribution network over-voltage fault type recognition method comprises the following steps:
A, monitoring power distribution network residual voltage, when residual voltage is more prescribed a time limit, obtain residual voltage waveform sampling data x (t), its
In, judge the out-of-limit condition of residual voltage as: For phase voltage;
B, the coefficient correlation C that multiple IMF signals, each IMF signals of calculating and x (t) are obtained to x (t) progress EMD decomposition, take
IMF signals maximum coefficient correlation C are main modal components y (t);
Wherein, coefficient correlation C calculation formula is:In the calculation formula
In,X (i) is i-th point of x (t) sampled value, and y (i) is the sampling of a certain i-th point of IMF components
Value, N is sampling number;Coefficient correlation C span is [- 1,1], and C values are bigger, illustrate x (t) and the IMF signal degrees of correlation
It is higher, therefore corresponding IMF signals are main modal components y (t) when taking coefficient correlation C maximum;
C, Hilbert conversion is carried out to y (t) obtain Hilbert time-frequency spectrum H (w, t), and H (w, t) is integrated obtained
Hilbert marginal spectrums h (ω);
It is by y (t) formula for carrying out Hilbert conversion:H (ω, t)=Re [x (t) ejφ(t)], on a timeline to H
(ω, t) is integrated, and obtains Hilbert marginal spectrumsT is the sampling period;
D, whether the energy accountings of 10Hz-40Hz frequency ranges in h (ω) is judged more than 50%, if so, judging to occur frequency dividing humorous
Shake failure, otherwise, into step E;
E, whether the energy accountings of 100Hz-150Hz frequency ranges in h (ω) is judged more than 50%, if so, judging occur high frequency
Resonance failure;Otherwise, into step F;
F, the coefficient R that x (t) and standard singlephase earth fault residual voltage waveform z (t) is calculated respectively, x (t) are maximum
The energy accounting F of 45-55Hz frequency ranges in singular value Q, h (ω) of difference H, x (t) singular value decomposition of peak value and minimum peak,
And it is similar to the entirety of standard singlephase earth fault residual voltage waveform according to formula S=a*R+b*H+c*Q+d*F to obtain x (t)
S is spent, wherein, a, b, c, d ∈ [0,1];
Step F is mainly included the following steps that:
F1, processing is synchronized to x (t) and z (t), and respectively to x (t) and z (t) by normalizing formulaIt is normalized and obtains x ' (t) and z ' (t), recycles formulaMeter
Coefficient R is calculated, wherein, X is primary data, and X ' is the data after normalization, and minValue, maxValue are X minimum value
And maximum,X ' (i) is i-th point of x ' (t) sampled value, and z ' (i) is i-th point of z's ' (t)
Sampled value, N is sampling number;
F2, the difference H for calculating x (t) peak-peak and minimum peak;Singular value decomposition is carried out to x (t), singular value is obtained
Q;Calculate the energy accounting F of 45-55Hz frequency ranges in h (ω);
F3, the value for determining using Information Entropy weight a, b, c, d;
F4, calculating overall similarity S;
Wherein, step F3 comprises the following steps:
F31, using R, H, Q, F as four indexs, each index takes n sample to constitute raw data matrix A=
(aij)4×n, matrix A '=(a is obtained to matrix A normalizationij′)4×n, wherein, normalization formula is:
F32, acquisition proportion matrix B=(bij)4×n, bijJ-th of sample under i-th of index is represented, is specially:
F33, the entropy for calculating i-th of index:Wherein, k=1/lnn;
F44, the weights for calculating i-th of index:A, b, c, d respectively with corresponding wiCorrespondence, i.e. a=w1,
B=w2, c=w3, d=w4;
Energy accounting in above-mentioned steps accounts for the accounting of total sampled point number for the number of sampled point in corresponding frequencies region;
G, the similarity threshold K for comparing S and pre-setting size, as S < K, judge occur fundamental resonance failure, no
Then judge occur singlephase earth fault, in the present embodiment, K values are 90%.
Power distribution network over-voltage fault type recognition device includes:
Data acquisition module:For monitoring power distribution network residual voltage, when residual voltage is more prescribed a time limit, residual voltage waveform is obtained
Sampled data x (t), wherein, judge the out-of-limit condition of residual voltage as:For phase voltage;
Master mode component determining module:EMD decomposition is carried out to x (t) and obtains multiple IMF signals, each IMF signals and x is calculated
(t) coefficient correlation C, it is main modal components y (t) to take the maximum IMF signals of coefficient correlation C;
Wherein, coefficient correlation C calculation formula is:In the calculation formula
In,X (i) is i-th point of x (t) sampled value, and y (i) is the sampling of a certain i-th point of IMF components
Value, N is sampling number;Coefficient correlation C span is [- 1,1], and C values are bigger, illustrate x (t) and the IMF signal degrees of correlation
It is higher, therefore corresponding IMF signals are main modal components y (t) when taking coefficient correlation C maximum;
Marginal spectrum determining module:To y (t) carry out Hilbert conversion obtain Hilbert time-frequency spectrums H (ω, t), and to H
(ω t) is integrated and obtains Hilbert marginal spectrums h (ω);
It is by y (t) formula for carrying out Hilbert conversion:H (ω, t)=Re [x (t) ejφ(t)], on a timeline to H
(ω, t) is integrated, and obtains Hilbert marginal spectrumsT is the sampling period;
Breakdown judge module:When the energy accounting of 10Hz-40Hz frequency ranges in h (ω) is more than 50%, judgement is divided
Resonance failure;When the energy accounting of 100Hz-150Hz frequency ranges in h (ω) is more than 50%, judge occur high-frequency resonant failure;It is no
Then, calculate respectively x (t) and standard singlephase earth fault residual voltage waveform z (t) coefficient R, x (t) peak-peaks with most
The energy accounting F of 45-55Hz frequency ranges in singular value Q, h (ω) of difference H, x (t) singular value decomposition of small leak, and according to public affairs
Formula S=a*R+b*H+c*Q+d*F obtains x (t) and standard singlephase earth fault residual voltage waveform overall similarity S, by S with
Similarity threshold K is compared, as S < K, judges occur fundamental resonance failure, otherwise judges occur singlephase earth fault, its
In, a, b, c, d ∈ [0,1].
Overall similarity S calculating with lower module by being carried out in breakdown judge module:
Parameter determination module:Coefficient correlation for calculating x (t) and standard singlephase earth fault residual voltage waveform z (t)
45-55Hz frequency ranges in singular value Q, h (ω) of difference H, x (t) singular value decomposition of R, x (t) peak-peak and minimum peak
Energy accounting F;
Wherein, the calculation formula of coefficient R isCarrying out coefficient R
Before calculating, processing is synchronized to x (t) and z (t), and by normalizing formulaTo same
X (t) and z (t) after step, which are normalized, obtains x ' (t) and z ' (t), wherein, X is primary data, after X ' is normalization
Data, minValue, maxValue be X minimum value and maximum,X ' (i) is x '
(t) i-th point of sampled value, z ' (i) is i-th point of z ' (t) sampled value, and N is sampling number;
Weight determination module:Value for determining weight a, b, c, d using Information Entropy;
Weight determination module includes:
Normalize module:Using R, H, Q, F as four indexs, each index takes n sample to constitute initial data square
Battle array A=(aij)4×n, matrix A '=(a is obtained to matrix A normalizationij′)4×n, wherein, normalization formula is:
Proportion matrix acquisition module:Obtain proportion matrix B=(bij)4×n, bijJ-th of sample under i-th of index is represented, is had
Body is:
Entropy computing module:Calculate the entropy of i-th of index:Wherein, k=1/lnn;
Weights acquisition module:Calculate the weights of i-th of index:A, b, c, d respectively with corresponding wiIt is right
Should, i.e. a=w1, b=w2, c=w3, d=w4;
Computing module:For calculating overall similarity S.
The foregoing is only a preferred embodiment of the present invention, therefore the scope that the present invention is implemented can not be limited with this, i.e.,
The equivalent changes and modifications made according to scope of the present invention patent and description, all should still belong to what patent of the present invention covered
In the range of.
Claims (10)
1. a kind of power distribution network over-voltage fault type recognition method, it is characterised in that:Comprise the following steps:
A, monitoring power distribution network residual voltage, when residual voltage is more prescribed a time limit, obtain residual voltage waveform sampling data x (t);
B, the coefficient correlation C that multiple IMF signals, each IMF signals of calculating and x (t) are obtained to x (t) progress EMD decomposition, take correlation
IMF signals maximum coefficient C are main modal components y (t);
C, Hilbert conversion is carried out to y (t) obtain Hilbert time-frequency spectrums H (ω, t), and (ω t) is integrated and obtained to H
Hilbert marginal spectrums h (ω);
D, whether judge the energy accountings of 10Hz-40Hz frequency ranges in h (ω) more than 50%, if so, judge to occur Subharmonic Resonance therefore
Barrier, otherwise, into step E;
E, whether the energy accountings of 100Hz-150Hz frequency ranges in h (ω) is judged more than 50%, if so, judging occur high-frequency resonant
Failure;Otherwise, into step F;
F, coefficient R, x (t) peak-peaks for calculating x (t) and standard singlephase earth fault residual voltage waveform z (t) respectively
With the energy accounting F of 45-55Hz frequency ranges in singular value Q, h (ω) of difference H, x (t) singular value decomposition of minimum peak, and root
X (t) and standard singlephase earth fault residual voltage waveform overall similarity S are obtained according to formula S=a*R+b*H+c*Q+d*F,
Wherein, a, b, c, d ∈ [0,1];
G, the similarity threshold K for comparing S and pre-setting size, as S < K, judge occur fundamental resonance failure, otherwise sentence
Surely occurs singlephase earth fault.
2. a kind of power distribution network over-voltage fault type recognition method according to claim 1, it is characterised in that:The step
In A, work as residual voltageWhen, judge that residual voltage U is out-of-limit, wherein,For phase voltage.
3. a kind of power distribution network over-voltage fault type recognition method according to claim 1, it is characterised in that:The step
Coefficient correlation C calculation formula is in B:Wherein,x
(i) sampled value for being i-th point of x (t), y (i) is the sampled value of a certain i-th point of IMF components, and N is sampling number.
4. a kind of power distribution network over-voltage fault type recognition method according to claim 1 or 2 or 3, it is characterised in that:Institute
Step F is stated to comprise the following steps:
F1, processing is synchronized to x (t) and z (t), and x (t) and z (t) are normalized obtain x ' (t) and z ' respectively
(t) formula, is utilizedCoefficient R is calculated, wherein,
X ' (i) is i-th point of x ' (t) sampled value, and z ' (i) is i-th point of z ' (t) sampled value, and N is sampling number;
F2, the difference H for calculating x (t) peak-peak and minimum peak;Singular value decomposition is carried out to x (t), singular value Q is obtained;Meter
Calculate the energy accounting F of 45-55Hz frequency ranges in h (ω);
F3, the value for determining using Information Entropy weight a, b, c, d;
F4, calculating overall similarity S.
5. a kind of power distribution network over-voltage fault type recognition method according to claim 4, it is characterised in that:The step
F3 comprises the following steps:
F31, using R, H, Q, F as four indexs, each index takes n sample to constitute raw data matrix A=(aij)4×n,
Matrix A '=(a is obtained to matrix A normalizationij′)4×n, wherein, normalization formula is:
F32, acquisition proportion matrix B=(bij)4×n, bijJ-th of sample under i-th of index is represented, is specially:
F33, the entropy for calculating i-th of index:Wherein, k=1/lnn;
F44, the weights for calculating i-th of index:A, b, c, d respectively with corresponding wiCorrespondence.
6. a kind of power distribution network over-voltage fault type recognition method according to claim 4, it is characterised in that:The energy
Accounting is that the number of sampled point in corresponding frequencies region accounts for the accounting of total sampled point number.
7. a kind of power distribution network over-voltage fault type recognition method according to claim 1 or 2 or 3, it is characterised in that:Institute
It is K ∈ [85%, 95%] to state the similarity threshold K spans described in step G.
8. a kind of power distribution network over-voltage fault type recognition device, it is characterised in that:Including:
Data acquisition module:Power distribution network residual voltage is monitored, when residual voltage is more prescribed a time limit, residual voltage waveform sampling data are obtained
x(t);
Master mode component determining module:EMD decomposition is carried out to x (t) and obtains multiple IMF signals, each IMF signals and x's (t) is calculated
Coefficient correlation C, it is main modal components y (t) to take the maximum IMF signals of coefficient correlation C;
Marginal spectrum determining module:To y (t) carry out Hilbert conversion obtain Hilbert time-frequency spectrums H (ω, t), and to H (ω, t)
It is integrated and obtains Hilbert marginal spectrums h (ω);
Breakdown judge module:When the energy accounting of 10Hz-40Hz frequency ranges in h (ω) is more than 50%, judge occur Subharmonic Resonance
Failure;When the energy accounting of 100Hz-150Hz frequency ranges in h (ω) is more than 50%, judge occur high-frequency resonant failure;Otherwise,
X (t) and standard singlephase earth fault residual voltage waveform z (t) coefficient R, x (t) peak-peaks and minimum is calculated respectively
The energy accounting F of 45-55Hz frequency ranges in singular value Q, h (ω) of difference H, x (t) singular value decomposition of peak value, and according to formula S
=a*R+b*H+c*Q+d*F obtains x (t) and standard singlephase earth fault residual voltage waveform overall similarity S, by S and phase
It is compared like degree threshold k, as S < K, judges occur fundamental resonance failure, otherwise judges occur singlephase earth fault, its
In, a, b, c, d ∈ [0,1].
9. a kind of power distribution network over-voltage fault type recognition device according to claim 8, it is characterised in that:The main mould
Coefficient correlation C calculation formula is in state component determining module:Wherein,X (i) is i-th point of x (t) sampled value, and y (i) is the sampled value of a certain i-th point of IMF components,
N is sampling number.
10. a kind of power distribution network over-voltage fault type recognition device according to claim 8 or claim 9, it is characterised in that:It is described
Energy accounting in breakdown judge module accounts for the accounting of total sampled point number for the number of sampled point in corresponding frequencies region.
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