CN103698664B - Paper oil insulation equivalent electrical circuit energy-storage travelling wave tube number and relaxation response circuitry number determination methods - Google Patents
Paper oil insulation equivalent electrical circuit energy-storage travelling wave tube number and relaxation response circuitry number determination methods Download PDFInfo
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- CN103698664B CN103698664B CN201310446682.4A CN201310446682A CN103698664B CN 103698664 B CN103698664 B CN 103698664B CN 201310446682 A CN201310446682 A CN 201310446682A CN 103698664 B CN103698664 B CN 103698664B
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Abstract
The present invention proposes a kind of method judging paper oil insulation equivalent electrical circuit energy-storage travelling wave tube number and relaxation response circuitry number.Does the method pass through application Time Domain Dielectric Spectroscopy solution spectrometry, to the return voltage Time Domain Differential spectral function of paper oil insulation equipment
spectral line, after carrying out successive differentiation spectrum unscrambling, separable go out <i>m</iGreatT.Gr eaT.GT strip spectral line, can judge that the number of the energy-storage travelling wave tube (polarization capacity) of paper oil insulation equipment dielectric polarization equivalent electrical circuit is m; And the relaxation response circuitry number of equivalent electrical circuit is in "black box": N=<i> m</i>-1.This determination methods that the present invention proposes has filled up the blank in this research field of application extension Debye model Research on Oil Aging of Oil-paper Insulation in Oil, for building paper oil insulation relaxation response equivalent electrical circuit further investigated insulation ag(e)ing etc. from now on, provide a kind of reliable and strong analysis means.
Description
Technical field
The present invention relates to a kind of paper oil insulation equivalent electrical circuit energy-storage travelling wave tube number and relaxation response circuitry number determination methods.
Background technology
At present in paper oil insulation Ageing Diagnosis research field, the dielectric relaxation response equivalent electrical circuit usually by expansion Debye model carries out analysis and diagnosis indirectly to paper oil insulation ageing equipment situation.Now obtain the concern of brainstrust and be applied widely.Its equivalent electrical circuit as shown in Figure 1.
But up to now, most researcher is when application drawing 1 relaxation response equivalent electrical circuit, all do not consider or seldom consider the operation time limit of paper oil insulation equipment, the difference that insulation ag(e)ing present situation etc. exist or other influences factor, general is all suppose that arbitrarily paper oil insulation relaxation response equivalent electrical circuit dotted line frame 2(is assumed to be "black box") topological structure of interior equivalent electrical circuit, namely relaxation response circuitry number is made up of some the RC series arm parallel connections determined, although adopt such hypothesis also can calculate the parameter value of paper oil insulation equipment relaxation response equivalent electrical circuit, but this hypothesis is theoretically unsound, it can not reflect the polarization situation of the inner each ingredient of Oil-Paper Insulation in relaxation response process truly.The result of its hypothesis also can increase the difficulty solving equivalent circuit parameter sometimes, and even more serious consequence to affect the accuracy judging paper oil insulation ageing equipment situation.
Summary of the invention
The object of the present invention is to provide a kind of paper oil insulation equivalent electrical circuit energy-storage travelling wave tube number and relaxation response circuitry number determination methods, it contributes to accurate application extension Debye relaxation equivalent-circuit model further investigation insulation ag(e)ing mechanism etc., provides a kind of reliable and strong analysis means.
Technical program of the present invention lies in: a kind of paper oil insulation equivalent electrical circuit energy-storage travelling wave tube number and relaxation response circuitry number determination methods, is characterized in that, carry out as follows:
1) first a DC pulse high voltage U is applied at the insulating mechanism two ends of paper oil insulation equipment
0, U
0value is 200-500V, at t
cin time, Oil-Paper Insulation is charged, then disconnect impressed voltage and insulation system two terminal shortcircuit, make insulation system inner at t
delectric discharge in time period.Last again by short-circuit line disconnection, with return voltage value or the return voltage spectral line u at return voltage tester continuous coverage random time t insulation system two ends
r=f (t), levels off to till zero until return voltage value is asymptotic;
2) suppose that the topological structure of paper oil insulation equipment dielectric polarization equivalent electrical circuit is the circuit be made up of the parallel connection of N bar RC series arm, obtaining return voltage spectral function expression formula is:
（1）
In formula: m=N+1; P
j(j=
, and P
j>0) be one and respond the relevant coefficient of branch parameters with relaxation;
expression formula be:
（2）
U in above formula
cpirepresent the residual voltage of i-th branch road polarization capacity, it and duration of charging t
cwith short circuit dischange time t
drelevant; B
ji(j=
; I=
) it is one and responds branch parameters value about the coefficient irrelevant with the time with relaxation;
3) differential is carried out to formula (1), and then be multiplied by corresponding measurement time t, the Time Domain Differential spectral function expression formula of return voltage can be obtained
for:
（3）
Make in above formula:
, claim
for differential line type function;
4) the return voltage Time Domain Differential spectral function of paper oil insulation equipment is obtained as stated above
spectral line after, successively spectrum unscrambling is carried out to it, separable go out m strip spectral line, can judge paper oil insulation polarization equivalent electrical circuit energy-storage travelling wave tube number, namely polarization capacity number is m; And the relaxation response circuitry number of equivalent electrical circuit is in "black box": N=m-1.
Wherein, the spectrum unscrambling process of described return voltage Time Domain Differential spectral function completes according to the following steps:
The first step: first from return voltage Time Domain Differential spectral function
the end of spectral line starts, and gets arbitrarily 2 t
1and t
2, and t
2be greater than t
1.Solution spectrometry is adopted to set up following equations group:
（4）
A is obtained by formula (4)
jand p
j, then substitute into formula
(j=1), in, the 1st strip spectral line L can be obtained
1;
Second step: by return voltage Time Domain Differential spectral line
deduct the 1st strip spectral curve L
1, obtain residue spectral line G
i(
*).Again from the end of residue spectral line, appoint and get 2 t
1and t
2, and t
2be greater than t
1, then obtain A by formula (4)
jand p
j, then substitute into formula more respectively
(j=2), in, the 2nd strip spectral line L is obtained
2.
3rd step: by residue spectral line G
i(
*) deduct the 2nd strip spectral line L again
2after, apply above Spectra Unfolding Methods and step successively obtains the 3rd article, the 4th article ..., to m strip spectral line L
m; Residue spectral line G after and if only if certain spectrum unscrambling
i(
*) peak-peak when being less than the threshold value preset, then stop spectrum unscrambling.
The invention has the advantages that:
The present invention's application Time Domain Dielectric Spectroscopy differential solution spectrometry, the data separation that fast for difference in paper oil insulation material slow-response presents separately is left, then proposes and a kind ofly judge paper oil insulation equivalent electrical circuit energy-storage travelling wave tube number and judge the Theories and methods of the response of relaxation in "black box" equivalent electrical circuit topological structure; The method has filled up the blank in this research field of application extension Debye model Research on Oil Aging of Oil-paper Insulation in Oil; For building paper oil insulation relaxation response equivalent electrical circuit further investigated insulation ag(e)ing mechanism etc. from now on, provide a kind of reliable and strong analysis means.
Accompanying drawing explanation
Fig. 1 is paper oil insulation equipment dielectric relaxation response equivalent circuit diagram.
Fig. 2 is the procedure chart that the present invention measures return voltage spectral line.
Fig. 3 is the differential line type function that the present invention proposes
change curve.
Fig. 4 is the Time Domain Differential spectral function of return voltage of the present invention
curve map.
Fig. 5 is differential solution spectrometry process flow diagram of the present invention.
Fig. 6-Figure 11 is the 6 strip spectrums that application of differential solution spectrometry of the present invention successively decomposites.
Figure 12 is the calculating spectral line of return voltage under the present invention and the return voltage spectral line comparison diagram of experiment test.
Embodiment
For above-mentioned feature and advantage of the present invention can be become apparent, exemplifying embodiment cited below particularly, and coordinate accompanying drawing, be described in detail below.
Referring to figs. 1 to Figure 12, relate to test analysis process and the application result of paper oil insulation equivalent electrical circuit energy-storage travelling wave tube number that the present invention proposes and relaxation response circuitry number determination methods, carry out as follows:
1) first a DC pulse high voltage U is applied at the insulating mechanism two ends of paper oil insulation equipment
0, U
0value is 200-500V, at t
cin time, Oil-Paper Insulation is charged, then disconnect impressed voltage and insulation system two terminal shortcircuit, make insulation system inner at t
delectric discharge in time period.Last again by short-circuit line disconnection, with return voltage value or the return voltage spectral line u at return voltage tester continuous coverage random time t insulation system two ends
r=f (t), levels off to till zero until return voltage value is asymptotic;
2) suppose that the topological structure of paper oil insulation equipment dielectric polarization equivalent electrical circuit is the circuit be made up of the parallel connection of N bar RC series arm, obtaining return voltage spectral function expression formula is:
（1）
In formula: m=N+1; P
j(j=
, and P
j>0) be one and respond the relevant coefficient of branch parameters with relaxation;
expression formula be:
（2）
U in above formula
cpirepresent the residual voltage of i-th branch road polarization capacity, it and duration of charging t
cwith short circuit dischange time t
drelevant; B
ji(j=
; I=
) it is one and responds branch parameters value about the coefficient irrelevant with the time with relaxation;
3) differential is carried out to formula (1), and then be multiplied by corresponding measurement time t, the Time Domain Differential spectral function expression formula of return voltage can be obtained
for:
（3）
Make in above formula:
, claim
for differential line type function;
4) the return voltage Time Domain Differential spectral function of paper oil insulation equipment is obtained as stated above
spectral line after, successively spectrum unscrambling is carried out to it, separable go out m strip spectral line, can judge paper oil insulation polarization equivalent electrical circuit energy-storage travelling wave tube number, namely polarization capacity number is m; And the relaxation response circuitry number of equivalent electrical circuit is in "black box": N=m-1.
The spectrum unscrambling process of above-mentioned return voltage Time Domain Differential spectral function completes according to the following steps:
The first step: first from return voltage Time Domain Differential spectral function
the end of spectral line starts, and gets arbitrarily 2 t
1and t
2, and t
2be greater than t
1.Solution spectrometry is adopted to set up following equations group:
（4）
A is obtained by formula (4)
jand p
j, then substitute into formula
(j=1), in, the 1st strip spectral line L can be obtained
1;
Second step: by return voltage Time Domain Differential spectral line
deduct the 1st strip spectral curve L
1, obtain residue spectral line G
i(
*).Again from the end of residue spectral line, appoint and get 2 t
1and t
2, and t
2be greater than t
1, then obtain A by formula (4)
jand p
j, then substitute into formula more respectively
(j=2), in, the 2nd strip spectral line L is obtained
2.
3rd step: by residue spectral line G
i(
*) deduct the 2nd strip spectral line L again
2after, apply above Spectra Unfolding Methods and step successively obtains the 3rd article, the 4th article ..., to m strip spectral line L
m; Residue spectral line G after and if only if certain spectrum unscrambling
i(
*) peak-peak when being less than the threshold value preset, then stop spectrum unscrambling.
Specific implementation process:
A) first a DC pulse high voltage U is applied at the insulating mechanism two ends of paper oil insulation equipment
0, U
0value is 200-500V, at t
cin time, Oil-Paper Insulation is charged, then disconnect impressed voltage and insulation system two terminal shortcircuit, make insulation system inner at t
delectric discharge in time period.Last again by short-circuit line disconnection, with return voltage value or the return voltage spectral line u at return voltage tester continuous coverage random time t insulation system two ends
r=f (t), levels off to till zero until return voltage value is asymptotic;
B) suppose that the topological structure of paper oil insulation equipment dielectric polarization equivalent electrical circuit is the circuit be made up of the parallel connection of N bar RC series arm, obtaining return voltage spectral function expression formula is:
（1）
In formula: m=N+1; P
j(j=
, and P
j>0) be one and respond the relevant coefficient of branch parameters with relaxation;
expression formula be:
（2）
U in above formula
cpirepresent the residual voltage of i-th branch road polarization capacity, it and duration of charging t
cwith short circuit dischange time t
drelevant; B
ji(j=
; I=
) it is one and responds branch parameters value about the coefficient irrelevant with the time with relaxation;
If carry out differential to formula (1), and then be multiplied by corresponding measurement time t, the Time Domain Differential spectral function expression formula of return voltage can be obtained
for:
（3）
Make in above formula:
, claim
for differential line type function, its change curve as shown in Figure 3.The Time Domain Differential spectral function of return voltage
curve as shown in Figure 4.
If to differential line type function
can obtain after carrying out differential again:
From above formula analysis:
1) when
time,
, then function
it is monotone increasing;
2) when
time,
, then function
it is monotone decreasing;
3) and if only if
time,
, then function
the peak value of existence anduniquess, and peak value is
.
According to above analysis, differential line type function
there is following characteristic:
Characteristic 1. differential line type function
it is a function with single peak value.In the time
time, reach peak point.Then, change in time in the both sides of peak point and decay gradually and finally level off to 0.
Characteristic 2. due to
value different sizes, then differential line type function
the time corresponding to each peak point not identical yet, and
less, the corresponding peak point time
larger.Therefore the Time Domain Differential spectral function of return voltage
curve be by the single peak value of m bar and the different Spectral Overlapping sum of peak.
Characteristic 3. is worked as
value larger time, corresponding linear function
decay faster, on the contrary function
decay slower.Therefore
be worth less spectral line pair
the end contribution of curve is larger.Otherwise contribute less, then right
the impact of spectral line end is negligible.
According to above characteristic, we can infer the determination methods of energy-storage travelling wave tube (polarization capacity) number judging Fig. 1 paper oil insulation equipment dielectric relaxation response equivalent electrical circuit and the relaxation response circuitry number judging equivalent electrical circuit in "black box".
Determination methods: the return voltage Time Domain Differential spectral function of paper oil insulation equipment
spectral line, through successive differentiation spectrum unscrambling separable go out m strip spectral line.Then in Fig. 1 relaxation response equivalent electrical circuit, the number of energy-storage travelling wave tube (polarization capacity) is m; And the relaxation response circuitry number of equivalent electrical circuit is in "black box": N=m-1.
C) the spectrum unscrambling process of return voltage Time Domain Differential spectral function completes according to the following steps:
The first step: first from return voltage Time Domain Differential spectral function
the end of spectral line starts, and gets arbitrarily 2 t
1and t
2, and t
2be greater than t
1.Solution spectrometry is adopted to set up following equations group:
（4）
A is obtained by formula (4)
jand p
j, then substitute into formula
(j=1), in, the 1st strip spectral line L can be obtained
1;
Second step: by return voltage Time Domain Differential spectral line
deduct the 1st strip spectral curve L
1, obtain residue spectral line G
i(
*).Again from the end of residue spectral line, appoint and get 2 t
1and t
2, and t
2be greater than t
1, then obtain A by formula (4)
jand p
j, then substitute into formula more respectively
(j=2), in, the 2nd strip spectral line L is obtained
2.
3rd step: by residue spectral line G
i(
*) deduct the 2nd strip spectral line L again
2after, apply above Spectra Unfolding Methods and step successively obtains the 3rd article, the 4th article ..., to m strip spectral line L
m; Residue spectral line G after and if only if certain spectrum unscrambling
i(
*) peak-peak when being less than the threshold value preset, then stop spectrum unscrambling.Its computing flow process is shown in Fig. 5.
D) determination methods applicating example explanation
Certain 10kV paper oil insulation transformer, its return voltage data of test acquisition are as shown in table 1 by experiment as stated above.
Table 1
| t(s) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| u r (V) | 0.00 | 3.53 | 6.78 | 9.81 | 12.63 | 15.28 | 17.79 | 20.15 | 22.39 |
| t(s) | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 |
| u r (V) | 24.52 | 41.22 | 52.62 | 61.09 | 67.78 | 73.26 | 77.87 | 81.82 | 85.24 |
| t(s) | 100 | 200 | 300 | 400 | 500 | 600 | 700 | 800 | 900 |
| u r (V) | 88.23 | 105.19 | 111.44 | 112.74 | 111.12 | 107.73 | 103.32 | 98.36 | 93.17 |
| t(s) | 1000 | 2000 | 3000 | 4000 | 5000 | 6000 | 7000 | 8000 | 9000 |
| u r (V) | 87.95 | 46.39 | 24.02 | 12.43 | 6.43 | 3.33 | 1.72 | 0.89 | 0.46 |
Application of formula (1)-(4) and differential solution chromatography step, the coefficient successively can obtaining each strip spectral line is as shown in table 2.
Table 2
| Sub-spectral line sequence number | P j | A j |
| 1 | 1518.1 | 173.2 |
| 2 | 242.6195 | -106.4066 |
| 3 | 35.9920 | -57.9547 |
| 4 | 17.3715 | 29.7784 |
| 5 | 12.2500 | -40.5430 |
According to differential Spectra Unfolding Methods and step, from return voltage Time Domain Differential spectral line
end start, isolate 5 strip spectral lines successively, as shown in Fig. 6 figure to Figure 10.Final remaining spectral line G
i(
*) see Figure 11 (its peak-peak meet be less than default threshold value).
According to the determination methods that the present invention proposes, we can judge that the energy-storage travelling wave tube of the relaxation response equivalent electrical circuit of this paper oil insulation transformer has 5 polarization capacity elements; And the relaxation response branch road of equivalent electrical circuit has 4 in "black box".
In order to verify the correctness of Theories and methods set forth above, the existing formula (1) that calculating parameter value in table 2 substituted into can obtain calculating return voltage u
r=f (t) spectral line, then compares with the return voltage spectral line of experiment test, as shown in figure 12.As can be seen from Fig. 12, both almost fit like a glove.Thus to indicate determination methods set forth above be correct.
The foregoing is only exemplifying embodiment of the present invention, all equalizations done according to the present patent application the scope of the claims change and modify, and all should belong to covering scope of the present invention.
Claims (2)
1. paper oil insulation equivalent electrical circuit energy-storage travelling wave tube number and a relaxation response circuitry number determination methods, is characterized in that, carry out as follows:
1) first a DC pulse high voltage U is applied at the insulating mechanism two ends of paper oil insulation equipment
0, U
0value is 200-500V, at t
cin time, Oil-Paper Insulation is charged, then disconnect impressed voltage and insulation system two terminal shortcircuit, make insulation system inner at t
delectric discharge in time period; Last again by short-circuit line disconnection, with return voltage value or the return voltage spectral line u at return voltage tester continuous coverage random time t insulation system two ends
r=f (t), levels off to till zero until return voltage value is asymptotic;
2) suppose that the topological structure of paper oil insulation equipment dielectric polarization equivalent electrical circuit is the circuit be made up of the parallel connection of N bar RC series arm, obtaining return voltage spectral function expression formula is:
（1）
In formula: m=N+1; P
j(j=
, and P
j>0) be one and respond the relevant coefficient of branch parameters with relaxation;
expression formula be:
（2）
U in above formula
cpirepresent the residual voltage of i-th branch road polarization capacity, it and duration of charging t
cwith short circuit dischange time t
drelevant; B
ji(j=
; I=
) it is one and responds branch parameters value about the coefficient irrelevant with the time with relaxation;
3) differential is carried out to formula (1), and then be multiplied by corresponding measurement time t, the Time Domain Differential spectral function expression formula of return voltage can be obtained
for:
（3）
Make in above formula:
, claim
for differential line type function;
4) the return voltage Time Domain Differential spectral function of paper oil insulation equipment is obtained as stated above
spectral line after, successively spectrum unscrambling is carried out to it, separable go out m strip spectral line, can judge the energy-storage travelling wave tube number of paper oil insulation equipment dielectric polarization equivalent electrical circuit, namely polarization capacity number is m; And the relaxation response circuitry number of equivalent electrical circuit is in "black box": N=m-1.
2. paper oil insulation equivalent electrical circuit energy-storage travelling wave tube number according to claim 1 and relaxation response circuitry number determination methods, it is characterized in that, the differential spectrum unscrambling process of described return voltage Time Domain Differential spectral function completes according to the following steps:
The first step: first from return voltage Time Domain Differential spectral function
the end of spectral line starts, and gets arbitrarily 2 t
1and t
2, and t
2be greater than t
1; Solution spectrometry is adopted to set up following equations group:
（4）
A is obtained by formula (4)
jand p
j, then substitute into formula
(j=1), in, the 1st strip spectral line L can be obtained
1;
Second step: by return voltage Time Domain Differential spectral line
deduct the 1st strip spectral curve L
1, obtain residue spectral line G
i(
*); Again from the end of residue spectral line, appoint and get 2 t
1and t
2, and t
2be greater than t
1, then obtain A by formula (4)
jand p
j, then substitute into formula more respectively
(j=2), in, the 2nd strip spectral line L is obtained
2;
3rd step: by residue spectral line G
i(
*) deduct the 2nd strip spectral line L again
2after, apply above Spectra Unfolding Methods and step successively obtains the 3rd article, the 4th article ..., to m strip spectral line L
m; Residue spectral line G after and if only if certain spectrum unscrambling
i(
*) peak-peak when being less than the threshold value preset, then stop spectrum unscrambling.
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| CN104267324B (en) * | 2014-10-16 | 2017-03-08 | 国家电网公司 | The differential spectral function peak valley point judging method of paper oil insulation ageing equipment situation |
| CN104280449B (en) * | 2014-10-21 | 2016-09-07 | 福州大学 | Paper oil insulation equipment micro-water content qualitative evaluation method based on the sub-spectral line of relaxation |
| CN107727939A (en) * | 2017-10-10 | 2018-02-23 | 国网江苏省电力公司电力科学研究院 | Three branch roads for paper oil insulation improve equivalent model |
| CN109239541A (en) * | 2018-08-01 | 2019-01-18 | 福州大学 | The method that paper oil insulation aging is quantitatively evaluated in the sub- spectral line response factor characteristic value of time domain |
| CN110598245B (en) * | 2019-07-26 | 2021-06-22 | 福州大学 | Oil paper insulation equivalent circuit parameter identification method based on improved Prony algorithm |
| CN110542841A (en) * | 2019-09-11 | 2019-12-06 | 厦门理工学院 | Aging state diagnosis method for transformer oil paper insulation system |
| CN113419147B (en) * | 2021-06-29 | 2022-07-19 | 广西电网有限责任公司电力科学研究院 | Radar spectrum diagram based visualized cable insulation state diagnosis and evaluation method |
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| CN103091611A (en) * | 2013-01-14 | 2013-05-08 | 江苏省电力公司电力科学研究院 | Oiled paper insulation power equipment insulation aging state detecting method |
| CN103105566A (en) * | 2013-01-14 | 2013-05-15 | 江苏省电力公司电力科学研究院 | Oil paper insulation electrical equipment aging state detection method based on universal relaxation law |
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