CN112883536B - Bushing insulating oiled paper temperature correction and activation energy prediction method based on dielectric modulus - Google Patents
Bushing insulating oiled paper temperature correction and activation energy prediction method based on dielectric modulus Download PDFInfo
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Abstract
The invention relates to the technical field of electrical equipment fault diagnosis, and discloses a bushing insulating oiled paper temperature correction and activation energy prediction method based on dielectric modulus, which comprises the following steps: obtaining an expression of a dielectric model M (omega); preparing experimental samples with different water contents, and performing frequency domain dielectric spectrum testing on the samples at different temperatures to obtain FDS curves corresponding to complex dielectric constants; converting the FDS curve corresponding to the imaginary part of the complex dielectric constant to obtain an FDS curve corresponding to M' (omega); locating the peak frequency f of the M' (omega) corresponding FDS curve using least squares p And obtain f p The rule of change with temperature and moisture; defining a translation factor and obtaining the rule of the translation factor changing along with temperature and moisture; introducing a classic Arrhenius equation into the activation energy calculation, and obtaining an activation energy calculation formula related to the translation factor; and establishing an activation energy prediction model. The method considers the influence of temperature and moisture in the oiled paper insulation system on the activation energy, and has important significance for the aging evaluation of the field bushing.
Description
Technical Field
The invention relates to the technical field of electrical equipment fault diagnosis, in particular to a bushing insulating oil paper temperature correction and activation energy prediction method based on dielectric modulus.
Background
With the development of the times and the improvement of the productivity, the role of the power system in the modern society is more and more remarkable. As the core equipment of power transmission and transformation of the power system, the power sleeve is used as an indispensable ring in the power system, plays a role in conversion and transition of electric energy, and has the advantages of high strength, good stability of the device, long service life and the like. In recent years, however, related researches find that a large number of domestic electric power bushings face the problem that the service life of the electric power bushings is close to or even exceeds the design service life of the electric power bushings, and high operation risks of aggravated insulation aging and reduced insulation performance exist. Today, important research is being conducted to ensure safe and reliable operation of casing over the operating life.
In the operation process of the electric power bushing, the oil paper insulation system is subjected to combined actions of electricity, heat, machinery, chemistry and other stresses in long-term operation, so that the insulation performance of the system is reduced, and additional products such as moisture, furfural, hydrocarbons, organic compounds and the like can be generated. Along with the aggravation of the aging degree, the insulating property of the oil paper insulating system is continuously reduced, and then the whole power grid is influenced. Therefore, the method is very important for the research of the insulation state evaluation of the sleeve, the time/frequency domain dielectric response measurement technology based on the dielectric response principle has the advantages of strong anti-interference capability, rich carried information and the like, great attention is paid in recent years, and a plurality of valuable achievements are obtained at present. The key factors affecting the frequency domain dielectric response test mainly include insulation geometry, test voltage, humidity, conductivity of the insulation material and temperature. In particular, the effect of temperature on dielectric response has been a focus of research. On one hand, temperature variation can seriously affect the frequency domain dielectric response test result, so that the frequency domain dielectric response curve moves along the frequency axis. The influence of temperature on the FDS curve is therefore not negligible. At present, the temperature shift factor α is extracted by the main curve T Can be considered as one of the effective methods to correct for the effects of temperature on the frequency domain dielectric response data. However, due to the different method of constructing the master curve, the resulting master curve and α T There are also differences. Thus, a prediction α is established without constructing a master curve T The effective model of (2) has important significance. On the other hand, temperature also affects the rate of aging of bushing impregnated cellulose insulation and it has been shown that activation energy (E) can be adjusted a ) As an index reflecting the average aging rate of the cellulose insulation of the bushing. It is shown according to the theory of effective collisions that the activation energy is naturally related to the temperature.
Therefore, in order to investigate the effect of temperature on the aging rate, it is necessary to discuss the effect of temperature on Ea, and it is expected that a state evaluation method based on an aging kinetic model can be improved. The invention carries out aging evaluation on the oiled paper insulation system based on the dielectric modulus, and meanwhile, the invention also researches the problem that the temperature influences the measurement result in the field measurement, and provides a correction method for eliminating the field temperature influence.
Disclosure of Invention
The invention provides a bushing insulation oiled paper temperature correction and activation energy prediction method based on dielectric modulus, aiming at the problems of the background of the invention, and the method is beneficial to improving the reliability of the prediction result of the dielectric modulus and activation energy prediction related technology on the insulation state of a bushing.
In order to achieve the purpose, the invention provides a bushing insulation oiled paper temperature correction and activation energy prediction method based on dielectric modulus, which comprises the following steps:
s1, defining the dielectric modulus as the reciprocal of a complex dielectric constant, and obtaining expressions of a real part and an imaginary part of the dielectric modulus according to the reciprocal of the complex dielectric constant;
s2, preparing sleeve insulating oil paper with different water contents, and performing frequency domain dielectric spectrum testing on the sleeve insulating oil paper at different temperatures to obtain an FDS curve corresponding to the complex dielectric constant;
s3, converting the FDS curve corresponding to the imaginary part of the complex dielectric constant according to the expression to obtain the FDS curve corresponding to the imaginary part of the dielectric modulus;
s4, positioning the peak frequency of the FDS curve corresponding to the imaginary part of the dielectric modulus by using a least square method, and taking the peak frequency as a characteristic parameter to obtain a change rule of the peak frequency along with temperature and moisture;
s5, defining a temperature translation factor, and obtaining a rule of the temperature translation factor changing along with the temperature and the moisture content according to a rule of the peak frequency changing along with the temperature and the moisture content;
s6, obtaining an activation energy calculation formula related to the translation factor by combining an Arrhenius equation, so as to obtain the relation between the activation energy and the moisture content;
and S7, establishing an activation energy prediction model to obtain a fitting curve of the activation energy, the peak frequency and the temperature.
In the above technical solution, the frequency domain expression of the complex dielectric constant is as shown in formula (1):
in the formula, epsilon ∞ Is a dielectric constant, ∈ at an angular velocity ω → ∞ s In order to obtain the dielectric modulus M (ω), the reciprocal of the complex dielectric constant is transformed as follows:
wherein M is ∞ ＝1/ε ∞ ,M S ＝1/ε S ,τ M ＝τ(ε ∞ /ε S ) 1/β, thereby obtaining the real and imaginary expressions of the dielectric modulus as:
where M' (ω) is the real part of the dielectric modulus, and M "(ω) is the imaginary part of the dielectric modulus.
In the above technical scheme, the preparation of the bushing insulating oilpaper with different moisture contents in step S1 specifically comprises: the cardboard samples of various expected moisture contents were obtained by placing different cardboard samples on a precision electronic balance to absorb moisture, followed by equilibrium distribution of moisture at a constant experimental temperature for 48 hours, with the moisture content being measured using a karl fischer titration apparatus.
In the above technical solution, the expression of the temperature translation factor is as follows:
in the formula f pr And f pt Respectively corresponding to reference temperatureDegrees and peak frequency at the imaginary part M "(ω) of the complex dielectric modulus at the test temperature.
In the above technical solution, the classical Arrhenius thermodynamic equation is as follows:
wherein, A k An exponential pre-factor, considered as a constant related to the rate of chemical reaction, and R is a gas constant, ranging from 0 to 1000]T is the temperature during the chemical reaction, due to the peak frequency f p The change rule with T is similar to the formula (5), and f is expressed by the formula (5) p The relation with T is shown in formula (6),
A f referred to as the pre-factor, is a constant related to the dielectric response strength of the frequency.
In the above technical scheme, A is obtained by fitting the actually measured curve f The relation with the moisture content is shown as the formula (7), wherein mc% is the moisture content, a, b and c are fitting coefficients, and the value range is [0-1000 ]]；
Ln(A f )＝a×e mc％/b +c。 (7)
In the technical scheme, the prediction formula for obtaining the activation energy through the formula (6) and the formula (7) is shown as the formula (8), and the activation energy E is obtained according to the formula (8) af Frequency f with peak p The change rule of the temperature T;
E af ＝R·T·[Ln(A f )-Lnf p ]。 (8)
compared with the prior art, the invention has the following beneficial effects:
according to the method, the temperature translation factor is introduced and the activation energy prediction model is constructed, so that the activation energy of the oil-paper insulation system of the bushing can be predicted under the condition of considering the temperature influence, the state diagnosis based on the frequency domain dielectric spectrum technology can be more conveniently and accurately applied to the evaluation of the solid insulation state of the oil-paper bushing, the residual life of the bushing is further judged, the potential risk of the oil-paper bushing insulation system can be found, an important reference basis is provided for the operation maintenance and overhaul of the bushing, and the operation of a power system is more reliable, safe and stable.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the embodiments or the prior art descriptions will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and other drawings can be obtained by those skilled in the art without creative efforts.
FIG. 1a is a flow chart of a method of an embodiment of the present invention;
FIG. 1b is a flow chart of a sample preparation process of an example of the present invention;
FIG. 2 is a schematic diagram of an FDS testing apparatus according to an embodiment of the present invention;
FIG. 3 is an FDS curve of imaginary parts of complex dielectric constants respectively performed under different temperature conditions under the condition of a moisture content of 1% in the embodiment of the present invention;
fig. 4 is an FDS curve obtained by converting the imaginary part of the complex dielectric constant into the dielectric modulus through formula operation, and the corresponding dependent variable is the dielectric modulus, and the existence of the peak in the curve can be observed obviously;
FIG. 5 is a three-dimensional curved surface of temperature translation factor with changes in moisture and temperature obtained through an experimental value after the temperature translation factor is proposed in the embodiment of the present invention;
FIG. 6 is a graph of predicted activation energy versus temperature, f, constructed in accordance with an embodiment of the present invention p A three-dimensional relationship diagram of (a);
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, and the scope of the present invention will be more clearly and clearly defined.
As shown in fig. 1a, the present embodiment constructs a method for correcting the temperature and predicting the activation energy of insulating oil paper of a bushing based on dielectric modulus, which includes the following steps:
s1, preparing sleeve insulating oil paper with different water contents, and performing frequency domain dielectric spectrum test on the sleeve insulating oil paper at different temperatures to obtain an FDS curve corresponding to a complex dielectric constant;
this example required the preparation of cellulose board samples of different moisture content. Various desired moisture levels of the paperboard can be obtained by placing the paperboard sample on a precision electronic balance to absorb moisture. The moisture equilibrium distribution process was then carried out at the experimental constant temperature and the moisture content was measured using a karl fischer titration apparatus. The sample preparation process is shown in FIG. 1 b.
And performing FDS test on the prepared oil-immersed cellulose paper board with different moisture contents. Since the invention needs to construct a temperature correction model, the FDS test of the experiment needs to be carried out under different temperature environments and at 2 × 10 -4 Hz-5×10 3 The Hz frequency domain range. Frequency domain dielectric response tests were performed using a DIRANA and a three-electrode test apparatus, respectively, under different temperature conditions. The dielectric response testing apparatus is shown in fig. 2. The results of the frequency domain complex permittivity imaginary part test at a sample moisture content of 1.29% are shown in fig. 3.
And S2, defining the dielectric modulus as the reciprocal of the complex dielectric constant, and obtaining the expressions of the real part and the imaginary part of the dielectric modulus according to the reciprocal of the complex dielectric constant.
In order to obtain more accurate dielectric characteristic quantity, reduce the influence of a low-frequency-band conductance phenomenon and an electrode polarization phenomenon in a frequency domain dielectric response process and better show a relaxation phenomenon of an oil paper insulation low frequency band, the dielectric modulus is selected for research. The frequency domain expression of the complex dielectric constant is shown in formula (1):
in the formula, epsilon ∞ At angular velocity ω → ∞ ofDielectric constant,. Epsilon s τ is the relaxation time constant, and β is the time distribution parameter. To obtain the dielectric modulus, the reciprocal of the complex dielectric constant is transformed as follows:
wherein M is ∞ ＝1/ε ∞ ,M S ＝1/ε S ,andτ M ＝τ(ε ∞ /ε S ) 1/β, thereby obtaining the real and imaginary expressions of the dielectric modulus as:
and S3, converting the FDS curve corresponding to the imaginary part of the complex dielectric constant according to the expression to obtain the FDS curve corresponding to the imaginary part of the dielectric modulus. And (4) converting according to the formula in the step (3) to obtain the FDS curve based on the imaginary part of the dielectric modulus, as shown in FIG. 4.
And S4, positioning the peak frequency of the FDS curve corresponding to the imaginary part of the dielectric modulus by using a least square method, and taking the peak frequency as a characteristic parameter to obtain the change rule of the peak frequency along with the temperature and the moisture.
As is obvious by observing the curve, the FDS curve at each temperature corresponds to a peak value, and the peak frequency f of the curve of the variation of the imaginary part M (omega) of the dielectric modulus along with the frequency domain is positioned by using the least square method p Taking the peak value f of M' (omega) p As characteristic variables. And obtain f p The law of change with temperature and moisture.
And S5, defining a temperature translation factor, and obtaining a rule of the temperature translation factor changing along with the temperature and the moisture content according to a rule of the peak frequency changing along with the temperature and the moisture content.
To correct for the effect of temperature on the dielectric properties, a new characteristic parameter, the temperature shift factor, is created, whose expression is shown below:
in the formula f pr And f pt Corresponding to the peak frequencies at the imaginary part of the complex dielectric modulus M "(ω) at the reference temperature and the test temperature, respectively. According to f in step (4) p The law of change of the temperature shift factor with temperature and moisture was calculated as shown in fig. 5.
And S6, obtaining an activation energy calculation formula related to the translation factor by combining an Arrhenius equation, thereby obtaining the relation between the activation energy and the moisture content.
Specifically, the method is speculated according to the rule of the classic Arrhenius equation, the rule of the equation is similar to the relation between the activation energy and the temperature for describing the insulation of the oilpaper, and f is obtained by introducing the classic Arrhenius thermodynamics p The fitting curve of T and the data measured by experiments have good comparison results, and the feasibility of the assumption is verified.
Wherein R is the gas constant, T is the temperature during the chemical reaction, A f Referred to as the pre-factor, is considered to be a constant related to the strength of the dielectric response at frequency.
Obtaining the pre-exponential factor A by fitting f The relationship with the moisture content is shown as follows, wherein mc% is the moisture content, a, b and c are fitting coefficients, and the value range is [ 0-1000%]。
Ln(A f )＝a×e mc％/b +c (6)
And S7, establishing an activation energy prediction model to obtain a fitting curve of the activation energy, the peak frequency and the temperature. By E af Is calculated by the formula and A f The prediction formula of the activation energy can be obtained by the fitting formula of (1), as follows:
E af ＝R·T·[Ln(A f )-Lnf p ] (7)
obtaining the activity according to the formulaEnergy conversion with f p The change rule of T is shown in FIG. 6.
FDS measurement of the insulation state of the oil-immersed paper sleeve is to expand the conventional power frequency dielectric loss and capacitance measurement of the method to low-frequency and high-frequency bands, such as 1mHz to 1kHz, so that the polarization and loss conditions in a wider frequency domain range can be reflected. The frequency domain parameters are closely related to the water content and the aging degree of the solid insulation of the sleeve, and the aging state of the solid insulation of the sleeve can be judged by researching the relation between the frequency domain parameters and the aging state of the solid insulation.
In summary, the present invention has studied the temperature versus frequency domain dielectric response and activation energy (E) a ) On the basis of the influence of (3), a frequency domain dielectric response temperature correction model and an Ea prediction model are respectively provided. The dielectric modulus M is obtained for the first time on the basis of frequency domain spectrum analysis * (ω). The results show that from M * Peak frequency f extracted from the (omega) curve p Can be well used for researching the temperature pair M * (omega) and E a The influence of (c). Then, there are two available temperature models to establish M respectively * Correction of (ω) and prediction of Ea.
Although the embodiments of the present invention have been described with reference to the accompanying drawings, various changes or modifications can be made by the owner within the scope of the appended claims, and the scope of the present invention should be covered by the owner as long as the protection scope of the present invention is not exceeded by the claims.
Claims (6)
1. A bushing insulation oiled paper temperature correction and activation energy prediction method based on dielectric modulus is characterized by comprising the following steps:
s1, defining the dielectric modulus as the reciprocal of a complex dielectric constant, and obtaining expressions of a real part and an imaginary part of the dielectric modulus according to the reciprocal of the complex dielectric constant;
s2, preparing sleeve insulating oil paper with different moisture contents, and performing frequency domain dielectric spectrum test on the sleeve insulating oil paper at different temperatures to obtain an FDS curve corresponding to the complex dielectric constant;
s3, converting the FDS curve corresponding to the imaginary part of the complex dielectric constant according to the expression to obtain the FDS curve corresponding to the imaginary part of the dielectric modulus;
s4, positioning the peak frequency of the FDS curve corresponding to the imaginary part of the dielectric modulus by using a least square method, and taking the peak frequency as a characteristic parameter to obtain a change rule of the peak frequency along with temperature and moisture;
s5, defining a temperature translation factor, and obtaining a rule of the translation factor changing along with the temperature and the moisture content according to a rule of the peak frequency changing along with the temperature and the moisture content;
the expression for the temperature translation factor is as follows:
in the formula f pr And f pt Corresponding to the peak frequency in the imaginary part M "(ω) of the complex dielectric modulus at the reference temperature and the test temperature, respectively;
s6, obtaining an activation energy calculation formula related to the translation factor by combining an Arrhenius equation, so as to obtain the relation between the activation energy and the moisture content;
and S7, establishing an activation energy prediction model to obtain a fitting curve of the activation energy, the peak frequency and the temperature.
2. The method for correcting the temperature and predicting the activation energy of the insulating oilpaper of the bushing based on the dielectric modulus as claimed in claim 1, wherein the frequency domain expression of the complex dielectric constant is as shown in formula (2):
in the formula, epsilon ∞ Dielectric constant → ∞ of angular velocity s In order to obtain the dielectric modulus M (ω), the reciprocal of the complex dielectric constant is transformed as follows:
wherein M is ∞ ＝1/ε ∞ ,M S ＝1/ε S ,τ M ＝τ(ε ∞ /ε S ) 1/β, from which the real and imaginary components of the dielectric modulus are expressed as:
where M' (ω) is the real part of the dielectric modulus, and M "(ω) is the imaginary part of the dielectric modulus.
3. The method for correcting the temperature and predicting the activation energy of the dielectric-modulus-based bushing insulating oilpaper according to claim 1, wherein the preparation of the bushing insulating oilpaper with different moisture contents in the step S1 specifically comprises the following steps: the cardboard samples of various expected moisture contents were obtained by placing different cardboard samples on a precision electronic balance to absorb moisture, followed by equilibrium distribution of moisture at a constant experimental temperature for 48 hours, with the moisture content being measured using a karl fischer titration apparatus.
4. The method for temperature modification and activation energy prediction of insulating oilpaper of bushing based on dielectric modulus as claimed in claim 1, wherein the classical Arrhenius thermodynamic equation is as follows:
wherein A is k An exponential pre-factor, considered as a constant related to the rate of chemical reaction, and R is a gas constant, ranging from 0 to 1000]T is the temperature during the chemical reaction, due to the peak frequency f p The change law with T is similar to the formula (5), and f is expressed by the formula (5) p The relation with T is shown as the formula (6),
A f referred to as the pre-factor, is a constant related to the dielectric response strength of the frequency.
5. The dielectric modulus-based bushing insulating oilpaper temperature correction and activation energy prediction method of claim 4, wherein A is obtained by fitting a measured curve f The relation with the moisture content is shown as the formula (7), wherein mc% is the moisture content, a, b and c are fitting coefficients, and the value range is [0-1000 ]]；
Ln(A f )＝a×e mc％/b +c (7)。
6. The method for correcting the temperature and predicting the activation energy of the insulating oilpaper of the bushing based on the dielectric modulus as claimed in claim 5, wherein the prediction formula of the activation energy obtained by the formulas (6) and (7) is shown in the formula (8), and the activation energy E obtained by the formula (8) is shown in the formula (8) af Frequency f with peak p The change rule of the temperature T;
E af ＝R·T·[Ln(A f )-Lnf p ] (8)。
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| CN114528726B (en) * | 2022-01-10 | 2024-04-09 | 西安交通大学 | Method and equipment for correcting dielectric spectrum curve of oil paper insulation frequency domain at time-varying temperature |
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