CN110794274A - Oil-immersed paper sleeve main insulation non-uniform aging state evaluation method based on correction X model - Google Patents
Oil-immersed paper sleeve main insulation non-uniform aging state evaluation method based on correction X model Download PDFInfo
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Abstract
The invention discloses an oil-immersed paper sleeve main insulation non-uniform aging state evaluation method based on a correction X model, which comprises the following steps: (1) obtaining the structure and mathematical expression of the traditional X model through a traditional X model structure derivation mode; (2) obtaining a temperature field on the main insulation of the oil-immersed paper sleeve; (3) obtaining the aging state of the insulating paper layer on the main insulation under a diffusion temperature field; (4) constructing an equivalent structure of the corrected X model; (5) calculating a mathematical expression of a correction X model comprising two insulation states, three insulation states and four insulation states; (6) obtaining a general expression of a correction X model containing multiple aging states; (7) obtaining FDS data; (8) and establishing an FDS database of the main insulation non-uniform aging state of the oil-immersed paper bushing. The invention considers the phenomenon of uneven diffusion of an internal temperature field in the actual running process of the oil-impregnated paper bushing, so that the diagnosis is more convenient and accurate, and the running of a power system is more reliable, safe and stable.
Description
Technical Field
The invention relates to the technical field of electrical equipment fault diagnosis, in particular to an oil-immersed paper sleeve main insulation non-uniform aging state evaluation method based on a correction X model.
Background
High voltage bushings are an important component of electrical equipment such as power transformers, circuit breakers and the like. At present, the most widely applied high-voltage bushing in a power grid adopts an oil-paper composite insulation structure, namely an oil-impregnated paper bushing. The failure of a high voltage bushing can have a significant impact on the transformer and the associated electrical network. When the oil-impregnated paper sleeve normally runs, the main insulation of the oil-impregnated paper sleeve is influenced by the synergistic effect of various stresses such as a thermal field, oxygen, moisture, an electric field, organic acid, mechanical vibration and the like, a main insulation oil-paper insulation system is gradually aged, and the electrical and mechanical properties of the sleeve are directly reduced due to the aging of an insulation paper layer. Statistically, electrical failures due to oil impregnated paper bushings exceed 35% of the total number of failures, more than 60% of these failures being related to oil-paper insulation. Therefore, the degree of aging of the insulating paper layer on the main insulation in the oil-impregnated paper bushing determines the operational stability of the bushing and the safety of the power grid system.
The conventional main insulation of the oil-immersed paper sleeve mainly adopts a traditional X model to evaluate the aging state. The field investigation shows that the upper part of the high-voltage bushing is connected with a power transmission line, and the lower part of the high-voltage bushing is connected with a power transformer. The operation temperature of the transformer is between 65 and 100 degrees, and the temperature of a normal transmission line is far from reaching the standard. In general, the aging rate of the insulating paper has a direct proportion relation with the temperature. Without a self-cooling device, the heat at the top of the high-voltage bushing is transferred to the ambient air, the heat at the bottom is transferred to the insulating oil at the top layer of the transformer, and the heat near the middle part can only be dissipated through the heat conduction of the medium, which will cause the internal temperature field to be unevenly distributed in the radial direction of the main insulation. The non-uniform ageing of the insulating-paper layer on the main insulation can be caused by the temperature gradient existing in the radial direction. Therefore, the accuracy and likelihood of using the conventional X model under consideration of the effect of uneven aging is questionable.
Previous studies show that the evaluation of the main insulation aging state of the oil-impregnated paper bushing is carried out by comparing FDS data of the oil-impregnated paper bushing on site with FDS data of a calculation model. However, the traditional X model does not take into account the phenomenon of non-uniform diffusion of the internal temperature field during the operation of the actual oil-impregnated paper bushing. Therefore, an equivalent model capable of representing the uneven aging state of the main insulation of the oil-impregnated paper bushing needs to be derived, so that an FDS data pair database can be built, and the uneven aging state of the oil-impregnated paper bushing can be judged by the database.
Disclosure of Invention
Aiming at the technical problems of the background art, the invention provides an oil-impregnated paper sleeve main insulation non-uniform aging state assessment method based on a correction X model, considers the non-uniform diffusion phenomenon of an internal temperature field in the actual oil-impregnated paper sleeve operation process, and has more convenient and accurate diagnosis, so that the power system is operated more reliably, safely and stably.
In order to achieve the purpose, the method for evaluating the uneven aging state of the main insulation of the oil-immersed paper sleeve based on the corrected X model comprises the following steps:
(1) obtaining the structure and mathematical expression of a traditional X model for an oil-paper insulation system of the main insulation of the oil-impregnated paper bushing in a uniform aging state in a traditional X model structure derivation mode;
(2) investigating the actual operating environment of the main insulation of the oil-impregnated paper sleeve comprising a plurality of layers of insulating paperboards, and analyzing the temperature field of the interior of the oil-impregnated paper sleeve to obtain the temperature field of the main insulation of the oil-impregnated paper sleeve;
(3) performing diffusion analysis on the temperature field obtained in the step (2) by applying a finite element simulation technology; obtaining the aging state of the insulating paper layer on the main insulation under a diffusion temperature field through the diffusion analysis;
(4) improving the structure of the traditional X model in the step (1) according to the principle of measuring the insulation state of the oil-impregnated paper sleeve by FDS, and constructing an equivalent structure of a correction X model;
(5) calculating a mathematical expression of a corrected X model containing two insulation states through the step (4), and gradually deducing the mathematical expressions of the corrected X models of three insulation states and four insulation states;
(6) obtaining a general expression which is in line with the actual situation and contains the corrected X models of various aging states by using a mathematical induction method according to the mathematical expression in the step (5);
(7) carrying out FDS test by using an oil-paper insulation system in a laboratory, and comparing a test result with a calculation result to obtain FDS data;
(8) and (4) performing mathematical analysis on errors appearing in the FDS data in the step (6), obtaining a verified corrected X model, establishing an oil-impregnated paper bushing main insulation non-uniform aging state FDS database by using the model, and evaluating the non-uniform aging state of the oil-impregnated paper bushing main insulation based on the model.
Particularly, the derivation mode of the traditional X model structure in the step (1) is to simplify a capacitor core structure of the oil-impregnated paper bushing, and combine an insulating material and insulating oil in series to obtain the structure of the traditional X model; the mathematical expression of the conventional X model is as follows:
in the formula, epsilon* totIs the complex relative dielectric constant, epsilon, of an oil-paper insulation system* celluloseIs the complex relative dielectric constant, epsilon, of the insulating paper* oilIs complex relative dielectric constant of insulating oil, epsilon0Is the vacuum dielectric constant and σ (T) is the dc conductivity of the insulating oil at temperature T.
In particular, the temperature field on the main insulation in step (2) is not uniformly distributed.
Specifically, the specific method for modifying the equivalent structure of the X model includes: the main insulation of the oil-immersed paper sleeve is contacted with a high-voltage terminal through a central conductor, and the last layer of the main insulation is connected with a measuring terminal through a flange, so that capacitances are formed among all insulation layers, and the sum of the capacitances is the total complex capacitance representing the aging state of the main insulation; the corrected X model can be equivalent to the superposition of the insulation paper boards in different aging states, and the total complex capacitance of the corrected X model is equivalent to the superposition of series capacitances of several insulation paper boards.
Specifically, the mathematical expressions of the corrected X models derived in step (5) in the two insulation states, the three insulation states and the four insulation states are respectively:
in the formula, epsilonrp1,εrp2,εrp3And εrp4Respectively represents the complex relative dielectric constant, epsilon, of the four insulation paperboards in different aging statesrtotIs the total complex relative dielectric constant of the oil-paper insulation system consisting of the insulation paper boards in different aging states.
Specifically, the general mathematical expression of the modified X model in step (6) is as follows:
in the formula, n represents the number of insulating paper sheets having different aging states in the corrected X model.
Frequency Domain Spectroscopy (FDS) is a novel insulation detection method, and the method comprises the following steps: applying a variable-frequency alternating voltage signal on the insulating material, testing the complex capacitance of the insulating material, comparing the change rules of the dielectric constant and the dielectric loss factor along with the change of the frequency, and evaluating the insulating condition of the insulating material by analyzing the change rules of the complex capacitance, the complex relative dielectric constant and the dielectric loss factor.
The FDS measurement of the insulation state of the oil-impregnated 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 0.1mHz 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 transformer, and the aging state of the solid insulation of the transformer can be judged by researching the relationship between the frequency domain parameters and the aging state of the solid insulation.
The invention has the beneficial effects that:
according to the method, the uneven aging state of the main insulation of the oil-impregnated paper sleeve is evaluated by correcting the X model, and the uneven diffusion phenomenon generated by an internal temperature field in the actual operation process of the oil-impregnated paper sleeve is considered, so that the state diagnosis based on the frequency domain dielectric spectrum technology can be more conveniently and accurately applied to the solid insulation state of the oil-impregnated paper sleeve, the residual life of the oil-impregnated paper sleeve is further judged, the potential risk of the oil-impregnated paper sleeve insulation system is favorably found, and an important reference basis is provided for the operation maintenance and overhaul of a transformer, so that 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 description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a diagram illustrating a conventional model X push process according to an embodiment of the present invention;
fig. 2 is a structural diagram of a main insulation of an oil-impregnated paper bushing according to an embodiment of the present invention, where (a) is a front view of the main insulation of the oil-impregnated paper bushing, and (b) is a temperature field diffusion simulation diagram of the main insulation of the oil-impregnated paper bushing;
fig. 3 is an equivalent diagram of an oil-impregnated paper bushing FDS measurement principle and a correction X model according to an embodiment of the present invention;
FIG. 4 is a graph of the FDS data for a corrected X model including two insulation states in a validation experiment of the corrected X model according to an embodiment of the present invention;
FIG. 5 is a graph of the FDS data for the corrected X model including three insulation states in a verification experiment of the corrected X model according to an embodiment of the present invention;
FIG. 6 is a diagram of the results of the error analysis of the modified X model according to the embodiment of the present invention.
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.
The method for evaluating the uneven aging state of the main insulation of the oil-impregnated paper sleeve based on the corrected X model comprises the following steps:
(1) and (3) obtaining the structure and the mathematical expression of the traditional X model for the oil-paper insulation system of the main insulation of the oil-impregnated paper sleeve in the uniform aging state in a traditional X model structure derivation mode. Fig. 1 is a derivation process of a main insulation equivalent structure of an oil-impregnated paper bushing. The traditional X model structure derivation mode is that the capacitor core structure of the oil-impregnated paper sleeve is simplified, and the insulating material and the insulating oil are combined in series to obtain the structure of the traditional X model. The mathematical expression of the conventional X model is:
in the formula, epsilon* totIs the complex relative dielectric constant, epsilon, of an oil-paper insulation system* celluloseIs the complex relative dielectric constant, epsilon, of the insulating paper* oilIs complex relative dielectric constant of insulating oil, epsilon0Is the vacuum dielectric constant and σ (T) is the dc conductivity of the insulating oil at temperature T.
(2) And investigating the actual operation environment of the main insulation of the oil-impregnated paper sleeve comprising the multiple layers of insulating paperboards, and analyzing the temperature field received by the inside of the oil-impregnated paper sleeve to obtain the temperature field on the main insulation of the oil-impregnated paper sleeve. Due to the influence of the structure and the operation temperature of the oil-immersed paper sleeve, the internal main insulation is positioned in an uneven temperature field in the radial direction, and a diffusion simulation diagram of the temperature field on the main insulation can be obtained through simulation of finite element software. The main insulation temperature field diffusion simulation graph of the oil-immersed paper sleeve is shown in the attached figure 2.
(3) Performing diffusion analysis on the temperature field obtained in the step (2) by applying a finite element simulation technology; and obtaining the aging state of the insulating paper layer on the main insulation under a diffusion temperature field through the diffusion analysis.
(4) And (3) according to the principle of measuring the insulation state of the oil-impregnated paper sleeve by FDS, improving the structure of the traditional X model in the step (1), and constructing an equivalent structure of the corrected X model. When the FDS measurement is carried out on the oil-impregnated paper bushing on site, the oil-impregnated paper bushing is required to be connected to a high-voltage electrode through a main insulation center conductor, and a measuring electrode is connected to the outermost layer of a main insulation through a grounding flange. Because there is one layer of aluminum foil plate in every certain thickness of insulating layer, the purpose is to improve the distribution of electric field in the main insulation and to use the capacitance formed by the aluminum foil plate to divide the voltage. Therefore, a layer of capacitor is formed in the measuring circuit of the main insulation, and the aging state of each insulation layer can be judged through the capacitor of each layer. The conventional X model in step (1) is modified to modify the insulation material, which originally represents a single aging state, into a stacked system of insulation boards having multiple aging states. If each insulation paper board in the aging state represents an independent capacitor, the improved traditional X model, namely the corrected X model can accurately represent the uneven aging state of the main insulation of the oil-impregnated paper bushing. As shown in fig. 3, the specific method for correcting the equivalent structure of the X model includes: the main insulation of the oil-immersed paper sleeve is contacted with a high-voltage terminal through a central conductor, and the last layer of the main insulation is connected with a measuring terminal through a flange, so that capacitances are formed among all insulation layers, and the sum of the capacitances is the total complex capacitance representing the aging state of the main insulation; the corrected X model can be equivalent to the superposition of the insulation paper boards in different aging states, and the total complex capacitance of the corrected X model is equivalent to the superposition of series capacitances of several insulation paper boards.
(5) And (4) calculating a mathematical expression of the corrected X model containing two insulation states, and gradually deducing the mathematical expressions of the corrected X models of three insulation states and four insulation states. The mathematical expressions of the corrected X model under two insulation states, three insulation states and four insulation states, which are deduced by the embodiment of the invention, are respectively as follows:
in the formula, epsilonrp1,εrp2,εrp3And εrp4Respectively represents the complex relative dielectric constant, epsilon, of the four insulation paperboards in different aging statesrtotIs the total complex relative dielectric constant of the oil-paper insulation system consisting of the insulation paper boards in different aging states.
(6) And (5) obtaining a general expression of the corrected X model containing various aging states according to the mathematical expression in the step (5) by using a mathematical induction method. The general mathematical expression of the modified X model is:
in the formula, n represents the number of insulating paper sheets having different aging states in the corrected X model.
(7) And carrying out FDS test by using an oil-paper insulation system in a laboratory, and comparing the test result with the calculation result to obtain FDS data. The specific settings of the FDS in this embodiment are as follows: the output of 200V AC voltage, the testing frequency is 2X 10-4-5X 103 Hz.
(8) And (4) performing mathematical analysis on errors appearing in the FDS data in the step (6), obtaining a verified corrected X model, establishing an oil-impregnated paper bushing main insulation non-uniform aging state FDS database by using the model, and evaluating the non-uniform aging state of the oil-impregnated paper bushing main insulation based on the model.
And carrying out a reliability verification test of the correction X model by using FDS equipment in a laboratory environment, and carrying out error analysis so that the capability of the model for representing the uneven aging state of the main insulation has higher reliability. The FDS data pairs of the calculated and measured portions are shown in fig. 4 and 5, and the error analysis results are shown in table 1 and 6.
TABLE 1 partial error analysis results table
| Error of measured | Experiment | 1 | Experiment 2 | |
Experiment 4 | Experiment 5 | Experiment 6 |
| ε' | 3.20E-01 | 5.08E-01 | 3.23E-01 | 3.42E-02 | 1.16E-01 | 1.10E+00 | |
| ε" | 4.43E-02 | 2.55E-01 | 2.61E-01 | 1.12E+00 | 8.48E-01 | 1.10E-01 |
The magnitude of the error value indicates that the error between the calculated data and the measured data is very small and almost close to zero, which indicates that the calculated data, i.e. the corrected X model, is acceptable and the validity thereof is further verified.
Although the embodiments of the present invention have been described with reference to the accompanying drawings, various changes or modifications may be made by the patentees within the scope of the appended claims, and within the scope of the invention, as long as they do not exceed the scope of the invention described in the claims.
Claims (6)
1. A method for evaluating the uneven aging state of main insulation of an oil-immersed paper sleeve based on a corrected X model is characterized by comprising the following steps: the method comprises the following steps:
(1) obtaining the structure and mathematical expression of a traditional X model for an oil-paper insulation system of the main insulation of the oil-impregnated paper bushing in a uniform aging state in a traditional X model structure derivation mode;
(2) investigating the actual operating environment of the main insulation of the oil-impregnated paper sleeve comprising a plurality of layers of insulating paperboards, and analyzing the temperature field of the interior of the oil-impregnated paper sleeve to obtain the temperature field of the main insulation of the oil-impregnated paper sleeve;
(3) performing diffusion analysis on the temperature field obtained in the step (2) by applying a finite element simulation technology; obtaining the aging state of the insulating paper layer on the main insulation under a diffusion temperature field through the diffusion analysis;
(4) improving the structure of the traditional X model in the step (1) according to the principle of measuring the insulation state of the oil-impregnated paper sleeve by FDS, and constructing an equivalent structure of a correction X model;
(5) calculating a mathematical expression of a corrected X model containing two insulation states through the step (4), and gradually deducing the mathematical expressions of the corrected X models of three insulation states and four insulation states;
(6) obtaining a general expression which is in line with the actual situation and contains the corrected X models of various aging states by using a mathematical induction method according to the mathematical expression in the step (5);
(7) carrying out FDS test by using an oil-paper insulation system in a laboratory, and comparing a test result with a calculation result to obtain FDS data;
(8) and (4) performing mathematical analysis on errors appearing in the FDS data in the step (6), obtaining a verified corrected X model, establishing an oil-impregnated paper bushing main insulation non-uniform aging state FDS database by using the model, and evaluating the non-uniform aging state of the oil-impregnated paper bushing main insulation based on the model.
2. The oil-impregnated paper sleeve main insulation non-uniform aging state assessment method based on the corrected X model according to claim 1, characterized in that: the derivation mode of the traditional X model structure in the step (1) is to simplify a capacitor core structure of the oil-impregnated paper sleeve, and combine an insulating material and insulating oil in series to obtain the structure of the traditional X model; the mathematical expression of the conventional X model is as follows:
in the formula, epsilon* totIs the complex relative dielectric constant, epsilon, of an oil-paper insulation system* celluloseIs the complex relative dielectric constant, epsilon, of the insulating paper* oilIs complex relative dielectric constant of insulating oil, epsilon0Is the vacuum dielectric constant and σ (T) is the dc conductivity of the insulating oil at temperature T.
3. The oil-impregnated paper sleeve main insulation non-uniform aging state assessment method based on the corrected X model according to claim 1, characterized in that: the temperature field on the main insulation in the step (2) is unevenly distributed.
4. The oil-impregnated paper sleeve main insulation non-uniform aging state assessment method based on the corrected X model according to claim 1, characterized in that: the specific method for correcting the equivalent structure of the X model comprises the following steps: the main insulation of the oil-immersed paper sleeve is contacted with a high-voltage terminal through a central conductor, and the last layer of the main insulation is connected with a measuring terminal through a flange, so that capacitances are formed among all insulation layers, and the sum of the capacitances is the total complex capacitance representing the aging state of the main insulation; the corrected X model can be equivalent to the superposition of the insulation paper boards in different aging states, and the total complex capacitance of the corrected X model is equivalent to the superposition of series capacitances of several insulation paper boards.
5. The oil-impregnated paper sleeve main insulation non-uniform aging state assessment method based on the corrected X model according to claim 1, characterized in that: the mathematical expressions of the corrected X model in the two insulation states, the three insulation states and the four insulation states deduced in the step (5) are respectively as follows:
in the formula, epsilonrp1,εrp2,εrp3And εrp4Respectively represents the complex relative dielectric constant, epsilon, of the four insulation paperboards in different aging statesrtotIs an insulating paperboard with different aging statesThe overall complex relative dielectric constant of the resulting oil-paper insulation system.
6. The oil-impregnated paper sleeve main insulation non-uniform aging state assessment method based on the corrected X model according to claim 1, characterized in that: the general mathematical expression of the modified X model in step (6) is as follows:
in the formula, n represents the number of insulating paper sheets having different aging states in the corrected X model.
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