CN112710705B - Method for evaluating oil-immersed insulation damp state of sleeve based on frequency domain dielectric modulus - Google Patents
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Abstract
The invention relates to the field of bushing insulation state evaluation, and particularly discloses a bushing oil immersion insulation damp state evaluation method based on frequency domain dielectric modulus, which comprises the following steps: obtaining oil immersed cardboard samples in different ageing and wetting states; performing dielectric response test and moisture titration detection on the oil immersed paper board; deriving an expression of the frequency domain dielectric modulus; extracting a characteristic parameter IV based on dielectric modulus, and fitting to obtain a functional relation of the parameter IV with respect to the water content mc%; extracting characteristic parameter V based on dielectric modulus p 、f p Fitting to obtain parameter V p 、f p Functional relation with respect to water content mc%, respectively; extracting characteristic parameter tau based on dielectric modulus M Fitting to obtain parameter tau M A function related to the water content mc%; extracting characteristic parameter M based on dielectric modulus s 、C M Fitting to obtain parameter M s 、C M Functional relation with respect to water content mc%, respectively; and extracting and comparing characteristic parameters of the insulating oil paper to be tested, so as to evaluate the damp state of the sample to be tested.
Description
Technical Field
The invention relates to the field of bushing insulation state evaluation, in particular to a bushing oil immersion insulation damp state evaluation method based on frequency domain dielectric modulus.
Background
Moisture content (mc%) is one of the central factors affecting the aging rate of cellulose insulation in bushing oilpaper systems. The moisture content in the oiled paper insulation system will increase with moisture intrusion and aging of the cellulosic material. It is generally believed that the lifetime of a cellulosic insulation is reduced by half every double the moisture content. Therefore, it is important to evaluate the water content in the cellulose insulating layer. Reviewing the existing studies, the existing moisture assessment method is by karl fischer titration. Although karl fischer titration is sufficiently accurate, the implementation is complex and field testing is difficult, and therefore the above method is unsatisfactory.
Over the past decades, insulation moisture assessment based on frequency domain dielectric response (FDS) techniques has attracted widespread interest to researchers. In view of the fact that moisture plays a key role in dielectric response testing, it is necessary to understand the mechanism of influence of moisture on the dielectric response of the frequency domain, and knowledge of the mechanism of influence of moisture helps to extract relevant parameters characterizing moisture and to achieve quantitative evaluation. The literature indicates that the minimum of the tan delta curve is closely related to mc%. By establishing a quantitative relationship between mc% and tan delta minimum, quantitative evaluation of mc% can be achieved. Likewise, the integral value of the tan delta curve can also be used to establish a functional relationship with mc%. However, the dielectric response curve low frequency region response data is severely affected by electrode polarization and conductivity behavior, and relaxation information will be obscured, which makes it very difficult to analyze the relaxation response mechanism. In this case, the FDS curve is no longer suitable for studying the relaxation process of the cellulose-insulating material in the low-frequency region.
In view of the above challenges, studies have shown that the frequency dielectric modulus M * (x) These problems can be overcome. The dielectric modulus can not only study relaxation behavior, but also highlight the details of the low frequency region FDS data relaxation information. However, it has not been used to realize the state evaluation of the cellulose insulating material.
Disclosure of Invention
Aiming at the technical problems in the background art, the invention provides the method for evaluating the oil immersed insulation and moisture state of the bushing based on the frequency domain dielectric modulus, so that the overall operation state of the bushing is evaluated, and the operation of the power system is more reliable, safer and more stable.
In order to achieve the above purpose, the invention discloses a method for evaluating the oil immersed insulation damp state of a bushing based on frequency domain dielectric modulus, which comprises the following steps:
s1, obtaining oil immersed paper board test samples in different ageing and wetting states;
s2, performing dielectric response test on the oil immersed paperboard test sample to obtain dielectric parameters of the oil immersed test sample, and performing moisture content test to obtain moisture content;
s3, deducing an expression of the dielectric modulus of the frequency domain;
s4, extracting a first characteristic parameter IV based on dielectric modulus, and performing fitting analysis to obtain a functional relation of the first characteristic parameter IV with respect to moisture content mc%, wherein the first characteristic parameter IV is a sectional integral factor of a curve of an imaginary part of the dielectric modulus in a full frequency band;
s5, extracting a second characteristic parameter V based on dielectric modulus p Third characteristic parameter f p Fitting analysis is carried out to obtain a second characteristic parameter V p Third characteristic parameter f p The second characteristic variable V is a function of the moisture content mc% p Is the maximum of the imaginary curve of the dielectric modulus, the third characteristic parameter f p The frequency corresponding to the maximum value of the dielectric modulus imaginary part;
s6, extracting a fourth characteristic parameter tau based on dielectric modulus M Fitting analysis is carried out to obtain a fourth characteristic parameter tau M Regarding the function of the moisture content mc%, a fourth characteristic variable τ M Is the time constant of the dielectric modulus;
s7, extracting a fifth characteristic parameter M based on dielectric modulus s Sixth characteristic parameter C M Fitting analysis is carried out to obtain a fifth characteristic parameter M s Sixth characteristic parameter C M The fifth characteristic variable M relates to the moisture content mc% in each case s Sixth characteristic parameter C M Is a parameter of a curve drawn in a complex plane with the real part M' (ω) and the imaginary part M "(ω) of the dielectric modulus as abscissa and ordinate, respectively;
s8, extracting a first characteristic parameter IV and a second characteristic parameter V from the oil immersed paperboard sample to be detected p Third characteristic parameter f p Fourth characteristic parameter τ M Fifth characteristic parameter M s Sixth characteristic parameter C M ；
S9, substituting the characteristic parameters extracted in the step S8 into the functional relation of the step S4-the step S7 correspondingly to calculate the moisture content so as to evaluate the wetting state of the oil immersed paper board sample to be tested.
Preferably, in the above technical solution, the oiled cardboard sample in step S1 is made of sleeve oil and cellulose cardboard.
Preferably, in the above technical solution, step S4 extracts the first characteristic parameter IV based on the dielectric modulus, and the relationship between the first characteristic parameter IV and the moisture content mc% is obtained by fitting as follows:
wherein, the integral factor IV is obtained by sectionally integrating the dielectric modulus curve, a, b, c, d is an equation parameter, and the value range is [ -1000,1000].
Preferably, in the above technical solution, step S5 extracts the second characteristic parameter V based on the dielectric modulus p Third characteristic parameter f p Obtaining a second characteristic parameter V by fitting p Third characteristic parameter f p The relationship with the moisture content mc% is as follows:
wherein V is p Is the maximum of the imaginary curve of the dielectric modulus, f p The frequency corresponding to the maximum value of the dielectric modulus imaginary part is a, b, c, d, m, n equation parameter, and the value range is [ -1000,1000]。
Preferably, in the above technical solution, step S6 extracts the fourth characteristic parameter τ based on the dielectric modulus M Fitting to obtain a fourth characteristic parameter tau M The relationship with the moisture content mc% is as follows:
τ M ＝m·e mc％/n (3)
wherein τ M Is dielectric modulus time constant, m and n are equation parameters, and the value range is [ -5000,5000]。
Preferably, in the above technical solution, step S7 is based on the dielectric modulusTaking the fifth characteristic parameter M s Sixth characteristic parameter C M Obtaining a fifth characteristic parameter M through fitting s Sixth characteristic parameter C M The relationship with the water content mc% respectively is as follows:
wherein M is s 、C M Is a parameter of a curve drawn in a complex plane with a real part M '(omega) and an imaginary part M' (omega) of a dielectric modulus as an abscissa and an ordinate respectively, a, b, c, d, M, n is an equation parameter, and the value range is [ -1000,1000]。
Preferably, in the above technical solution, the characteristic parameter of the oil immersed cardboard sample to be measured in step S8 is extracted based on the dielectric modulus spectrum.
Compared with the prior art, the invention has the beneficial effects that:
the invention firstly provides the extraction of M * (x) On the basis of the curve serving as the characteristic parameter, the change rule between mc% and the characteristic parameter is further researched, and the moisture content of a sample to be detected can be deduced through a fitting formula after substituting the obtained characteristic parameter, so that the quantitative evaluation of the insulation moisture content of the sleeve is realized.
Drawings
In order to more clearly illustrate the embodiments of the invention or the technical solutions in the prior art, the drawings that are required in the embodiments or the description of the prior art will be briefly described, it being obvious that the drawings in the following description are only some embodiments of the invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
Fig. 1 is a flow chart of a method for evaluating the oil immersed insulation and moisture state of a bushing based on the dielectric modulus in the frequency domain.
Fig. 2 is a flow chart of oil immersed sample preparation and insulation state, frequency domain dielectric response testing.
FIG. 3 is a graph of extracted feature parameter M s 、C M Cole-C of (C)ole circle.
FIG. 4 is a characteristic parameter M s Fitting images with respect to water content mc%.
Detailed Description
The preferred embodiments of the present invention will be described in detail below with reference to the accompanying drawings so that the advantages and features of the present invention can be more easily understood by those skilled in the art, thereby making clear and defining the scope of the present invention.
The method for evaluating the oil immersed insulation and moisture state of the bushing based on the frequency domain dielectric modulus in the embodiment, as shown in fig. 1, comprises the following steps:
and S1, obtaining oil immersed paper board test samples in different ageing and wetting states.
Specifically, the present example is based on the establishment of a frequency domain dielectric modulus moisture diagnostic model based on laboratory prepared oil immersed sample development of different aging states, and is made of casing oil and cellulose paperboard. Wherein, the cardboard is T4 sleeve cardboard produced by Tazhou Wei Deman high voltage insulation Co., ltd, and the insulating oil is Kramay No. 25 cycloparaffin mineral oil meeting ASTM D3487-2000 (II) standard.
And S2, performing dielectric response test on the oil immersed paperboard test sample to obtain dielectric parameters of the oil immersed test sample, and performing moisture content test to obtain moisture content.
The method comprises the steps of firstly, vacuum drying cellulose paper board under a certain temperature and pressure, and then vacuum impregnating the cellulose paper board with insulating oil subjected to drying and degassing treatment under a certain temperature and pressure environment to obtain an oil-immersed paper board sample. The boards with different initial moisture contents were completed by moisture absorption experiments, then subjected to a moisture balancing process, and subjected to a frequency domain dielectric response test. Subsequently, the moisture content was obtained by a karl phenanthrene titration device. The preparation flow of the oil immersed sample is shown in fig. 2.
And S3, deriving an expression of the frequency domain dielectric modulus. Wherein, based on the derivation of the dielectric modulus of the frequency domain dielectric response, the complex dielectric constant formula is as follows:
the method comprises the following steps:
then the dielectric constant is inverted and is subjected to digital transformation to obtain dielectric modulus:
wherein M is ∞ ＝1/ε ∞ ，M S ＝1/ε S ,τ M ＝τ(ε ∞ /ε S ) 1/β 。
And S4, extracting a first characteristic parameter IV based on the dielectric modulus, and performing fitting analysis to obtain a functional relation of the first characteristic parameter IV with respect to the moisture content mc%.
Specifically, a first characteristic parameter IV is extracted based on the frequency domain dielectric modulus, the first characteristic parameter IV being that the frequency domain dielectric modulus is 10 -4 -10 0 And carrying out fitting analysis on the integral value of the Hz frequency band to obtain a fitting expression as follows:
wherein, the integral factor IV is obtained by sectionally integrating the dielectric modulus curve, a, b, c, d is an equation parameter, and the value range is [ -1000,1000].
Step S5, extracting a second characteristic parameter V based on the dielectric modulus p Third characteristic parameter f p Fitting analysis is carried out to obtain a second characteristic parameter V p Third characteristic parameter f p The function of the moisture content mc% is given in each case.
Extracting a second characteristic parameter V based on the frequency domain dielectric modulus p Third characteristic parameter f p Second characteristic parameter V p Third, thirdCharacteristic parameter f p The frequency domain dielectric modulus M' (omega) takes the ordinate and the abscissa of the vertex, and fitting analysis is carried out to obtain a fitting expression as follows:
wherein V is p Is the maximum of the imaginary curve of the dielectric modulus, f p The frequency corresponding to the maximum value of the dielectric modulus imaginary part is a, b, c, d, m, n equation parameter, and the value range is [ -1000,1000]。
Step S6, extracting a fourth characteristic parameter tau based on the dielectric modulus M Fitting analysis is carried out to obtain a fourth characteristic parameter tau M As a function of the moisture content mc%.
Specifically, the fourth characteristic parameter τ is extracted based on the frequency domain dielectric modulus M ，τ M The method is obtained by the following formula:
the fourth characteristic parameter tau M Fitting analysis is carried out on the water content mc% of the oil immersed insulation, and a fitting expression is obtained as follows:
τ M ＝m·e mc％/n
wherein τ M Is dielectric modulus time constant, m and n are equation parameters, and the value range is [ -5000,5000]。
Step S7, extracting a fifth characteristic parameter M based on the dielectric modulus s Sixth characteristic parameter C M Fitting analysis is carried out to obtain a fifth characteristic parameter M s Sixth characteristic parameter C M The function of the moisture content mc% is given in each case.
Specifically, a fifth characteristic parameter is extracted based on the frequency domain dielectric modulusM s Sixth characteristic parameter C M . If M '(ω) and M' (ω) are plotted on the same complex plane as the abscissa and the ordinate, respectively, the resulting pattern is called a Cole-Cole circle, as shown in FIG. 3.
For the fifth characteristic parameter M s Sixth characteristic parameter C M Fitting is carried out on the water content mc% of the oil-immersed insulation, and the following expression can be obtained:
wherein the fifth characteristic parameter M s Sixth characteristic parameter C M Is a coefficient of correlation with the dielectric modulus, i.e. a parameter of a curve drawn in a complex plane with the real part M' (ω) and the imaginary part M "(ω) of the dielectric modulus as abscissa and ordinate, respectively; a. b, c, d, m, n is an equation parameter, and the value range is [ -1000,1000]. The fitted image is shown in FIG. 4 (moisture content vs. M s )。
S8, extracting a first characteristic parameter IV and a second characteristic parameter V from the oil immersed paperboard sample to be detected p Third characteristic parameter f p Fourth characteristic parameter τ M Fifth characteristic parameter M s Sixth characteristic parameter C M . Performing frequency domain dielectric response test on the sample to be tested to obtain dielectric modulus data, and extracting dielectric modulus characteristic parameters IV and V of the sample to be tested p 、f p 、τ M 、M s 、C M 。
And S9, substituting the characteristic parameters to be measured into the fitting formulas obtained in the previous steps respectively, and further obtaining the moisture content. And then the moisture content of the sample to be measured is estimated, and the moisture state of the sample to be measured is comprehensively estimated.
Although the embodiments of the present invention have been described with reference to the accompanying drawings, the patentees may make various modifications or alterations within the scope of the appended claims, and are intended to be within the scope of the invention as described in the claims.
Claims (7)
1. The method for evaluating the oil immersed insulation damp state of the bushing based on the frequency domain dielectric modulus is characterized by comprising the following steps of:
s1, obtaining oil immersed paper board test samples in different ageing and wetting states;
s2, performing dielectric response test on the oil immersed paperboard test sample to obtain dielectric parameters of the oil immersed test sample, and performing moisture content test to obtain moisture content;
s3, deducing an expression of the dielectric modulus of the frequency domain;
s4, extracting a first characteristic parameter IV based on dielectric modulus, and performing fitting analysis to obtain a functional relation of the first characteristic parameter IV with respect to moisture content mc%, wherein the first characteristic parameter IV is a sectional integral factor of a curve of an imaginary part of the dielectric modulus in a full frequency band;
s5, extracting a second characteristic parameter V based on dielectric modulus p Third characteristic parameter f p Fitting analysis is carried out to obtain a second characteristic parameter V p Third characteristic parameter f p The second characteristic variable V is a function of the moisture content mc% p Is the maximum of the imaginary curve of the dielectric modulus, the third characteristic parameter f p The frequency corresponding to the maximum value of the dielectric modulus imaginary part;
s6, extracting a fourth characteristic parameter tau based on dielectric modulus M Fitting analysis is carried out to obtain a fourth characteristic parameter tau M Regarding the function of the moisture content mc%, a fourth characteristic variable τ M Is the time constant of the dielectric modulus;
s7, extracting a fifth characteristic parameter M based on dielectric modulus s Sixth characteristic parameter C M Fitting analysis is carried out to obtain a fifth characteristic parameter M s Sixth characteristic parameter C M The fifth characteristic variable M relates to the moisture content mc% in each case s Sixth characteristic parameter C M Is a parameter of a curve drawn in a complex plane with the real part M' (ω) and the imaginary part M "(ω) of the dielectric modulus as abscissa and ordinate, respectively;
s8, extracting a first characteristic parameter IV and a first characteristic parameter from the oil immersed paperboard sample to be detectedTwo characteristic parameters V p Third characteristic parameter f p Fourth characteristic parameter τ M Fifth characteristic parameter M s Sixth characteristic parameter C M ；
S9, substituting the characteristic parameters extracted in the step S8 into the functional relation of the step S4-the step S7 correspondingly to calculate the moisture content so as to evaluate the wetting state of the oil immersed paper board sample to be tested.
2. The method for evaluating the state of insulation and moisture in bushing oil immersion based on the dielectric modulus in the frequency domain according to claim 1, wherein the oil immersion board sample in the step S1 is made of bushing oil and cellulose board.
3. The method for evaluating the state of insulating and humidifying of bushing oil immersed based on the frequency domain dielectric modulus according to claim 1, wherein step S4 extracts the first characteristic parameter IV based on the dielectric modulus, and the relationship between the first characteristic parameter IV and the moisture content mc% is obtained by fitting as follows:
wherein, the integral factor IV is obtained by sectionally integrating the dielectric modulus curve, a, b, c, d is an equation parameter, and the value range is [ -1000,1000].
4. The method for evaluating the state of wet insulation of bushing oil immersed on the basis of the dielectric modulus in the frequency domain according to claim 1, wherein step S5 extracts the second characteristic parameter V on the basis of the dielectric modulus p Third characteristic parameter f p Obtaining a second characteristic parameter V by fitting p Third characteristic parameter f p The relationship with the moisture content mc% is as follows:
wherein V is p Is of dielectric modulusMaximum value of imaginary curve, f p The frequency corresponding to the maximum value of the dielectric modulus imaginary part is a, b, c, d, m, n equation parameter, and the value range is [ -1000,1000]。
5. The method for evaluating a wet state of bushing oil immersed insulation based on frequency domain dielectric modulus according to claim 1, wherein step S6 extracts a fourth characteristic parameter τ based on dielectric modulus M Fitting to obtain a fourth characteristic parameter tau M The relationship with the moisture content mc% is as follows:
τ M ＝m·e mc％/n (3)
wherein τ M Is dielectric modulus time constant, m and n are equation parameters, and the value range is [ -5000,5000]。
6. The method for evaluating a wet state of bushing oil immersed insulation based on frequency domain dielectric modulus according to claim 1, wherein step S7 extracts a fifth characteristic parameter M based on dielectric modulus s Sixth characteristic parameter C M Obtaining a fifth characteristic parameter M through fitting s Sixth characteristic parameter C M The relationship with the water content mc% respectively is as follows:
wherein M is s 、C M Is a parameter of a curve drawn in a complex plane by taking a real part M '(omega) and an imaginary part M' (omega) of dielectric modulus as an abscissa and an ordinate respectively, a, b, c, d, M, n is an equation parameter, and the value range is [ -1000,1000]。
7. The method for evaluating the state of insulation and moisture in bushing oil immersed based on the frequency domain dielectric modulus according to claim 1, wherein the characteristic parameters of the oil immersed cardboard sample to be tested in the step S8 are extracted based on the dielectric modulus spectrum.
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