CN110175760A - A kind of paper oil insulation method for diagnosing status of return voltage and depolarization current composite character amount - Google Patents
A kind of paper oil insulation method for diagnosing status of return voltage and depolarization current composite character amount Download PDFInfo
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Abstract
The present invention relates to the paper oil insulation method for diagnosing status of a kind of return voltage and depolarization current composite character amount, the Time Domain Dielectric Spectroscopy data obtained according to more paper oil insulation transformer on-site tests, according to the different characteristic amount for being able to reflect state of insulation, transformer matter-element model is established；Using the weight coefficient that can open up Hierarchy Analysis Method and determine each layer index of transformer；Then, the result obtained based on a large amount of measured data and calculating analysis, it is determined that the Classical field of four kinds of state of insulations of transformer and section domain；Finally, correlation function value of the follow-up transformer about four kinds of state of insulations is determined by correlation function, so that it is determined that the class of insulation of follow-up transformer.The present invention can more effectively realize the quantitative Diagnosis of paper oil insulation state, further investigation insulation ag(e)ing etc..
Description
Technical field
The present invention relates to paper oil insulation Ageing Diagnosis research field, especially a kind of return voltage is mixed with depolarization current
The paper oil insulation method for diagnosing status of characteristic quantity.
Background technique
At present in paper oil insulation Ageing Diagnosis research field, paper oil insulation usually is analyzed by dielectric response characteristic parameter
The existing certain research of state.It has obtained the concern of brainstrust and has widely been applied.But so far, most researchers
In application dielectric characterization parametric analysis assessment paper oil insulation state, all only rest in qualitative analysis, it can not be to separate unit transformation
Device makes strong diagnostic analysis, need to could be obtained by two or more the actually detected date comprisions of power transformer
Diagnostic result out.This aging assessment not only needs cumbersome detection process, and the accuracy of the qualitative analysis is more difficult
Guarantee.
Summary of the invention
In view of this, the purpose of the present invention is to propose to a kind of return voltage and the oilpaper of depolarization current composite character amount are exhausted
Edge method for diagnosing status can effectively diagnose paper oil insulation state grade.
The present invention is realized using following scheme: a kind of paper oil insulation shape of return voltage and depolarization current composite character amount
State diagnostic method, comprising the following steps:
Step S1: Time Domain Dielectric Spectroscopy is measured using several oilpaper transformers provided, and obtains several to assess
The characteristic value of state of insulation establishes attribute matrix V 'IJK, as shown in formula (1)；
In matrix XIJKIn, the insulation status of transformer is divided into N1、N2、…、NmTotal m kind state of insulation, each state of insulation
Transformer to correspond to number of units be respectively t1、t2、…、tm；The total number of units of transformer is t=t1+t2+...+tm； xijkExpression is under the jurisdiction of
The state of insulation N of transformerjCharacteristic value, i=1,2 ..., n are assessed in i-th of insulation of middle kth platform transformer；J=1,2 ...,
m；K=1,2 ..., t；
Step S2: by attribute matrix X in step S1IJKIn each row characteristic value, by formula (2) benefit measurement metewand or
Formula (3) cost measurement evaluation coefficient carries out dimensionless transformation；After dimensionless transformation, by attribute matrix XIJKIt is converted to immeasurable
Guiding principle matrix VIJK, as shown in formula (4)；
Benefit measurement metewand:
Cost measurement evaluation coefficient:
In formula (2) and formula (3), xi-minFor the minimum value of every row characteristic value；xi-maxFor the maximum value of every row characteristic value；vijk
For the characteristic value after dimensionless variation；
Step S3: it firstly, providing band diagnosis transformer, and treats diagnosis transformer and carries out Time Domain Dielectric Spectroscopy test, obtain
Several assessment insulation status characteristic values, determine the matter-element model of follow-up transformer are as follows:
Secondly, determining the Classical field R of each state grade matter-element of transformerpAre as follows:
In formula (6), vpijI=1,2 ..., n；J=1,2 ..., m；Indicate t platform transformer Time Domain Dielectric Spectroscopy test gained
Historical statistical data, characteristic quantity ciClassical field v under jth kind insulation statuspij=(μij-3σij,μij+3σij)；μij、σijRespectively indicate characteristic value ciAmount to t under jth kind statejPlatform becomes
The average and standard deviation of depressor；tjState of insulation for transformer in Time Domain Dielectric Spectroscopy historical statistical data is NjNumber of units；
Finally, determining the section domain R of each state grade matter-element of transformerqAre as follows:
In formula (7), vqijI=1,2 ..., n；J=1,2 ..., m；Indicate what t platform transformer return voltage was tested
Historical data, characteristic quantity ciSection domain v under jth kind insulation statusqij=(vijmin,vijmax)；vijmin, indicate characteristic value ciJth
The minimum value of corresponding characteristic value under kind statevijmaxIndicate ciThe corresponding characteristic value under jth kind state
Maximum value
Step S4: the weight coefficient of each characteristic value in step S2 is determined using Extension AHP；
Step S5: the degree of association of each characteristic value about state of insulation grade in step S2 is calculated；
Step S6: the weight coefficient in conjunction with obtained by step S4 determines the degree of association of the matter-element to be assessed about each state grade, such as
Shown in formula (8)；
In formula (8), Kj(N0) it is integrated value, characterize the degree of association of the matter-element to be assessed about each transformer insulation state grade；
Step S7: follow-up transformer state grade, most relevance degree K are determined by formula (9)j′Corresponding transformer insulated shape
State grade Nj, j=1,2,3,4 be the state grade of follow-up transformer；
Kj′=max { Kj(N0) (j=1,2,3,4) (9).
Further, the step S4 specifically includes the following steps:
Step S41: construction can open up judgment matrix E=(eij)n×n, wherein eijNeed to meet following condition, for all i, j=
1,2 ..., n has:Andeii=1,
Step S42: left judgment matrix matrix is found outWith right judgment matrixMaximum feature
Value respectively corresponds feature vector x-With x+:
To x-With x+It is normalized, obtains X-And X+:
Wherein,
Step S43: it asks and compares weight coefficient λ=(λ1,λ2,...,λn)T=(rX-,sX+), wherein
Step S44: each index single layer weight order is found out by comparing weight coefficient λ；
Enable two interval number e=(e-,e+), f=(f-,f+), V (e >=f)=2 (e+-f-)/[(e+-e-)+(f+-f-)]；
It calculates:
V(λi> λj) (i=1,2 ..., n；i≠j) (10)
If V (λi> λj) >=0 (i=1,2 ..., n；I ≠ j), then ωj=1, ωi=V (λi> λj), (i=1,
2,...,n；i≠j)；
Wherein ωiI-th of element of lower layer be to the single sequence of some factor of upper layer in indication transformer hierarchical structure frame,
ω=(ω is obtained after normalizing1,ω2,…,ωn) indicate lower layer's each element to single orderweight vector of upper layer element.
Further, the particular content of the step S5 are as follows:
Correlation function K (vi) are as follows:
In formula (11), ρ (vi,vpij)、ρ(vi,vqij) respectively indicate characteristic quantity viWith Classical field vpijWith section domain vqijAway from,
Shown in specific calculating formula such as formula (12) and formula (13)；
In formula (11), correlation function K (vi) that reflect is the characterizing magnitudes v of follow-up transformeriIt is N with state of insulation gradej
Transformer correlation degree, correlation function K (vi) bigger, reflect follow-up characteristic of transformer magnitude viIt is under the jurisdiction of transformer state etc.
Grade NjAttribute it is more.
Compared with prior art, the invention has the following beneficial effects:
The paper oil insulation status assessment of power transformer stops at qualitative analysis at present, need to be by two or more transformations
The actually detected data value comparative analysis of device, could assess the superiority and inferiority of paper oil insulation state.The present invention can be realized power transformer
Paper oil insulation state be quantitatively evaluated, can efficient diagnosis go out paper oil insulation state grade.
Specific embodiment
Below with reference to embodiment, the present invention will be further described.
Transformer insulation state is divided into N firstj(j=1,2 ..., m) plant, according to the t platform transformer grasped
Insulation status and its insulation classification situation establish the Classical field and section domain, Classical field and section of the various state of insulation grades of transformer
Domain can be used to the case where characterizing the transformer state grade, and it is each about transformer to calculate follow-up transformer by correlation function
Follow-up transformer is carried out reference one by one with each state grade of established transformer and is associated with by the degree of association of state grade, from
And determine the state grade of transformer.
Specifically, present embodiments providing the paper oil insulation state of a kind of return voltage and depolarization current composite character amount
Diagnostic method, comprising the following steps:
Step S1: Time Domain Dielectric Spectroscopy is measured using several oilpaper transformers provided, and obtains several to assess
The characteristic value of state of insulation establishes attribute matrix V 'IJK, as shown in formula (1)；
In matrix XIJKIn, the insulation status of transformer is divided into N1、N2、…、NmTotal m kind state of insulation, each state of insulation
Transformer to correspond to number of units be respectively t1、t2、…、tm；The total number of units of transformer is t=t1+t2+...+tm；xijkExpression is under the jurisdiction of change
The state of insulation N of depressorjCharacteristic value, i=1,2 ..., n are assessed in i-th of insulation of middle kth platform transformer；J=1,2 ...,
m；K=1,2 ..., t；
Step S2: by attribute matrix X in step S1IJKIn each row characteristic value, by formula (2) benefit measurement metewand or
Formula (3) cost measurement evaluation coefficient carries out dimensionless transformation；After dimensionless transformation, by attribute matrix XIJKIt is converted to immeasurable
Guiding principle matrix VIJK, as shown in formula (4)；
Benefit measurement metewand:
Cost measurement evaluation coefficient:
In formula (2) and formula (3), xi-minFor the minimum value of every row characteristic value；xi-maxFor the maximum value of every row characteristic value；vijk
For the characteristic value after dimensionless variation；
Step S3: it firstly, providing transformer to be diagnosed, and treats diagnosis transformer and carries out Time Domain Dielectric Spectroscopy test, obtain
Several assessment insulation status characteristic values, determine the matter-element model of follow-up transformer are as follows:
Secondly, determining the Classical field R of each state grade matter-element of transformerpAre as follows:
In formula (6), vpijI=1,2 ..., n；J=1,2 ..., m；Indicate t platform transformer Time Domain Dielectric Spectroscopy test gained
Historical statistical data, characteristic quantity ciClassical field v under jth kind insulation statuspij=(μij-3σij,μij+3σij)；μij、σijRespectively indicate characteristic value ciAmount to t under jth kind statejPlatform becomes
The average and standard deviation of depressor；tjState of insulation for transformer in Time Domain Dielectric Spectroscopy historical statistical data is NjNumber of units；
Finally, determining the section domain R of each state grade matter-element of transformerqAre as follows:
In formula (7), vqijI=1,2 ..., n；J=1,2 ..., m；Indicate what t platform transformer return voltage was tested
Historical data, characteristic quantity ciSection domain v under jth kind insulation statusqij=(vijmin,vijmax)；vijmin, indicate characteristic value ciJth
The minimum value of corresponding characteristic value under kind statevijmaxIndicate ciThe corresponding characteristic value under jth kind state
Maximum value
Step S4: the weight coefficient of each characteristic value in step S2 is determined using Extension AHP；
Step S5: the degree of association of each characteristic value about state of insulation grade in step S2 is calculated；
Step S6: the weight coefficient in conjunction with obtained by step S4 determines the degree of association of the matter-element to be assessed about each state grade, such as
Shown in formula (8)；
In formula (8), Kj(N0) it is integrated value when considering characteristic value weight, matter-element to be assessed is characterized about each change
The degree of association of depressor state of insulation grade；
Step S7: follow-up transformer state grade, most relevance degree K are determined by formula (9)j′Corresponding transformer insulated shape
State grade Nj, j=1,2,3,4 be the state grade of follow-up transformer；
Kj′=max { Kj(N0) (j=1,2,3,4) (9).
Further, the step S4 specifically includes the following steps:
Step S41: construction can open up judgment matrix E=(eij)n×nWherein eijNeed to meet following condition, for all i, j=
1,2 ..., n has:Andeii=1,
Step S42: left judgment matrix matrix is found outWith right judgment matrixMaximum feature
Value respectively corresponds feature vector x-With x+:
To x-With x+It is normalized, obtains X-And X+:
Wherein,
Step S43: it asks and compares weight coefficient λ=(λ1,λ2,...,λn)T=(rX-,sX+), wherein
Step S44: each index single layer weight order is found out by comparing weight coefficient λ；
Enable two interval number e=(e-,e+), f=(f-,f+), V (e >=f)=2 (e+-f-)/[(e+-e-)+(f+-f-)]；
It calculates:
V(λi> λj) (i=1,2 ..., n；i≠j) (10)
If V (λi> λj) >=0 (i=1,2 ..., n；I ≠ j), then ωj=1, ωi=V (λi> λj), (i=1,
2,...,n；i≠j)；
Wherein ωiI-th of element of lower layer be to the single sequence of some factor of upper layer in indication transformer hierarchical structure frame,
ω=(ω is obtained after normalizing1,ω2,…,ωn) indicate lower layer's each element to single orderweight vector of upper layer element.
Further, the particular content of the step S5 are as follows:
Correlation function K (vi) are as follows:
In formula (11), ρ (vi,vpij)、ρ(vi,vqij) respectively indicate characteristic quantity viWith Classical field vpijWith section domain vqijAway from,
Shown in specific calculating formula such as formula (12) and formula (13)；
In formula (11), correlation function K (vi) that reflect is the characterizing magnitudes v of follow-up transformeriIt is N with state of insulation gradej
Transformer correlation degree, correlation function K (vi) bigger, reflect follow-up characteristic of transformer magnitude viIt is under the jurisdiction of transformer state etc.
Grade NjAttribute it is more.
Preferably, the present embodiment is carried out the measurement of return voltage by RVM5461 tester to nearly 60 transformers, after actual measurement
The transformer statistical data obtained with analysis, which is extracted, can preferably reflect that eight characteristic quantities of transformer insulation state reply electricity
Press maximum c1, main time constant c2, initial slope c3, time to peak c4, insulation resistance c5, polarization circuitry number c6, depolarising energy
Measure maximum c7, depolarising Energy maximum value time c8.It is provided according to the indices of " power equipment preventive trial regulation ",
Transformer oil paper insulation state can be divided into the good (N of state of insulation1), the medium (N of state of insulation2), the slight aging (N of insulation3)、
Insulate serious aging (N4) 4 kinds of states.
The attribute matrix V ' of 10 follow-up transformers is established according to step 1.IJK:
Obtain attribute matrix V 'IJKThe maximum value and minimum value of every a line characteristic value.X-min=(162.58,849.57,
30.57,246.35,5.68,4,0.054,42.2)T, X-max=(598.36,2578.68,189.57,651.25,20.85,7,
0.198,204.3)T。
According to step 2. by attribute matrix V 'IJKEach characteristic value is estimated according to formula (2) or formula (3) cost and is commented with benefit measurement
Estimate index and is transformed to dimensionless matrix VIJK:
Characteristic of transformer value c in historical data base is found out according to step 3.iAbout state of insulation NjAverage value and variance,
Shown in following matrix:
This eight characteristic quantities are established according to formula (6) and formula (7) according to step 3. to be respectively associated in four kinds of matter-element state grades
Classical field RpWith section domain RqIt is as follows:
It is as follows that the synthesis for inviting several experts to obtain according to step 4. can open up judgment matrix:
The weight for obtaining each class information index of transformer according to the Extension AHP in step 4 is as follows: level-one
Index weights are ω1=(0.5772,0.0372,0.3856)；The weights omega of each index of return voltage21=(0.2599,
0.4471,0. 2779,0.0152)；Each index weights ω of Debye model22=(0.0829,0.9171)；Depolarization current respectively refers to
Mark weights omega23=(0.0415,0.9585).
The degree of association about each state grade of each feature is first found out according to the formula of correlation function according to step 5..
According to the weight for the characteristic value index that step 6. is acquired in conjunction with step 4, follow-up transformer is finally acquired about each
The degree of association of the poles such as state is as shown in the table:
The degree of association of 1. ten transformers of table about each state grade
The state of insulation grade of transformer may finally be determined according to step 7..
Seen from table 1: the diagnostic result of 10 transformers and actual insulation situation are almost the same.Now with T1For transformer
To illustrate diagnostic result: calculated four kinds of degree of association N1,N2,N3,N4Respectively -6.3841, -11.946, -0.168,
0.9489, wherein maximum value N4It is 0.9489, corresponding state is " insulation serious aging ", it is identical with virtual condition
's.In addition, in T2In the calculated association angle value of transformer, maximum value is N3, i.e., corresponding state of insulation be " slight aging " it
It is also almost the same with actual state.Because length limits, the diagnostic result of other transformers just no longer illustrates one by one.
The foregoing is merely presently preferred embodiments of the present invention, all equivalent changes done according to scope of the present invention patent with
Modification, is all covered by the present invention.
Claims (3)
1. the paper oil insulation method for diagnosing status of a kind of return voltage and depolarization current composite character amount, it is characterised in that: packet
Include following steps:
Step S1: measuring Time Domain Dielectric Spectroscopy using several oilpaper transformers provided, and obtains several to assess insulation
The characteristic value of state establishes attribute matrix V 'IJK, as shown in formula (1)；
In matrix XIJKIn, the insulation status of transformer is divided into N1、N2、…、NmTotal m kind state of insulation, the change of each state of insulation
It is respectively t that depressor, which corresponds to number of units,1、t2、…、tm；The total number of units of transformer is t=t1+t2+...+tm；xijkExpression is under the jurisdiction of transformer
State of insulation NjCharacteristic value, i=1,2 ..., n are assessed in i-th of insulation of middle kth platform transformer；J=1,2 ..., m；K=
1,2,...,t；
Step S2: by attribute matrix X in step S1IJKIn each row characteristic value, by formula (2) benefit measurement metewand or formula (3)
Cost measurement evaluation coefficient carries out dimensionless transformation；After dimensionless transformation, by attribute matrix XIJKBe converted to dimensionless matrix
VIJK, as shown in formula (4)；
Benefit measurement metewand:
Cost measurement evaluation coefficient:
In formula (2) and formula (3), xi-minFor the minimum value of every row characteristic value；xi-maxFor the maximum value of every row characteristic value；vijkFor nothing
Characteristic value after dimension variation；
Step S3: it firstly, providing transformer to be diagnosed, and treats diagnosis transformer and carries out Time Domain Dielectric Spectroscopy test, obtain several
A assessment insulation status characteristic value, determines the matter-element model of follow-up transformer are as follows:
Secondly, determining the Classical field R of each state grade matter-element of transformerpAre as follows:
In formula (6), vpijI=1,2 ..., n；J=1,2 ..., m；It indicates that the test of t platform transformer Time Domain Dielectric Spectroscopy is resulting to go through
History statistical data, characteristic quantity ciClassical field v under jth kind insulation statuspij=(μij-3σij,μij+3σij)；μij、σijRespectively indicate characteristic value ciAmount to t under jth kind statejPlatform becomes
The average and standard deviation of depressor；tjIt is N for transformer insulation state in Time Domain Dielectric Spectroscopy historical statistical datajNumber of units；
Finally, determining the section domain R of each state grade matter-element of transformerqAre as follows:
In formula (7), vqijI=1,2 ..., n；J=1,2 ..., m；Indicate the history that t platform transformer return voltage is tested
Data, characteristic quantity ciSection domain v under jth kind insulation statusqij=(vijmin,vijmax)；vijmin, indicate characteristic value ciJth kind shape
The minimum value of corresponding characteristic value under statevijmaxIndicate ciCorresponding characteristic value is most under jth kind state
Big value
Step S4: the weight coefficient of each characteristic value in step S2 is determined using Extension AHP；
Step S5: the degree of association of each characteristic value about state of insulation grade in step S2 is calculated；
Step S6: the weight coefficient in conjunction with obtained by step S4 determines the degree of association of the matter-element to be assessed about each state grade, such as formula (8)
It is shown；
In formula (8), Kj(N0) it is integrated value, characterize the degree of association of the matter-element to be assessed about each transformer insulation state grade；
Step S7: follow-up transformer state grade, most relevance degree K are determined by formula (9)j'Corresponding transformer insulation state etc.
Grade Nj, j=1,2,3,4 be the state grade of follow-up transformer；
Kj'=max { Kj(N0) (j=1,2,3,4) (9).
2. the paper oil insulation condition diagnosing of a kind of return voltage according to claim 1 and depolarization current composite character amount
Method, it is characterised in that: the step S4 specifically includes the following steps:
Step S41: construction can open up judgment matrix E=(eij)n×n, wherein eijNeed to meet following condition, for all i, j=1,
2 ..., n has:Andeii=1,
Step S42: left judgment matrix matrix is found outWith right judgment matrixMaximum eigenvalue point
Other character pair vector x-With x+:
To x-With x+It is normalized, obtains X-And X+:
Wherein,
Step S43: it asks and compares weight coefficient λ=(λ1,λ2,...,λn)T=(rX-,sX+), wherein
Step S44: each index single layer weight order is found out by comparing weight coefficient λ；
Enable two interval number e=(e-,e+), f=(f-,f+), V (e >=f)=2 (e+-f-)/[(e+-e-)+(f+-f-)]；
It calculates:
V(λi> λj) (i=1,2 ..., n；i≠j) (10)
If V (λi> λj) >=0 (i=1,2 ..., n；I ≠ j), then ωj=1, ωi=V (λi> λj), (i=1,2 ..., n；i
≠j)；
Wherein ωiI-th of element of lower layer is to the single sequence of some factor of upper layer in indication transformer hierarchical structure frame, through returning
ω=(ω is obtained after one change1,ω2,…,ωn) indicate lower layer's each element to single orderweight vector of upper layer element.
3. the paper oil insulation condition diagnosing of a kind of return voltage according to claim 1 and depolarization current composite character amount
Method, it is characterised in that: the particular content of the step S5 are as follows:
Correlation function K (vi) are as follows:
In formula (11), ρ (vi,vpij)、ρ(vi,vqij) respectively indicate characteristic quantity viWith Classical field vpijWith section domain vqijAway from specifically
Shown in calculating formula such as formula (12) and formula (13)；
In formula (11), correlation function K (vi) that reflect is the characterizing magnitudes v of follow-up transformeriIt is N with state of insulation gradejChange
Depressor correlation degree, correlation function K (vi) bigger, reflect follow-up characteristic of transformer magnitude viIt is under the jurisdiction of transformer state grade Nj
Attribute it is more.
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