CN114548012A - Transformer winding deformation fault diagnosis method based on three-dimensional frequency response curve centroid analysis - Google Patents
Transformer winding deformation fault diagnosis method based on three-dimensional frequency response curve centroid analysis Download PDFInfo
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- G06—COMPUTING; CALCULATING OR COUNTING
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- G06F30/00—Computer-aided design [CAD]
- G06F30/30—Circuit design
- G06F30/36—Circuit design at the analogue level
- G06F30/367—Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
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Abstract
The transformer winding deformation fault diagnosis method based on the three-dimensional frequency response curve centroid analysis comprises the following steps: establishing a transformer winding centralized parameter model to obtain normal winding amplitude-frequency data and phase-frequency data; adjusting circuit parameters of a transformer winding concentrated parameter model to obtain amplitude and phase data of the winding in different fault states; presenting the obtained frequency, amplitude and phase as x, y and z values in a three-dimensional Cartesian coordinate system, and establishing a three-dimensional frequency response curve; respectively calculating centroid coordinates represented by the frequency, the amplitude and the phase, and visualizing the obtained coordinates to obtain the centroid distribution of each three-dimensional frequency response curve; and establishing a three-dimensional coordinate system, distributing the mass centers of the three-dimensional frequency response curves of different faults around the three-dimensional frequency response curves, and determining the fault type of the winding according to the difference of the distribution intervals of the mass centers. According to the method, the types of faults of the windings can be sensitively and effectively distinguished through the difference of the distribution intervals of the mass centers of the three-dimensional frequency response curves.
Description
Technical Field
The invention relates to the field of transformer winding fault diagnosis, in particular to a transformer winding deformation fault diagnosis method based on three-dimensional frequency response curve centroid analysis.
Background
Transformers are one of the most expensive assets in an electrical power system. The cost for repairing the transformer after the transformer fault is extremely expensive, the transformer fault often causes the interruption of a power supply, and once the transformer fault occurs, the normal operation of the transformer substation is greatly influenced, so that great property loss is caused. The working environment of the power transformer is generally harsh, so various faults are easily generated, and the deformation of the winding is one of the faults. When a short-circuit accident occurs, the strong current can cause permanent instability deformation such as distortion, bulge or displacement of a transformer winding, and the transformer cannot work normally in severe cases, so that the accident of large-area power failure is caused. To maintain normal and stable operation of the transformer, sensitive, reliable, economical and efficient fault diagnosis techniques are required to detect any small degree of winding deformation to avoid more serious damage to the transformer.
The Frequency Response method (FRA) is widely used in winding deformation detection in the actual industry because of its simple and convenient operation and high accuracy. To date, researchers have made various attempts to solve the problem that the judgment error rate is high depending on manual experience when a frequency response method is used to diagnose the winding deformation, and to achieve accurate diagnosis of the transformer winding deformation. Document [1 ]: zhaoyong, Tang-super, Li-Xiang, etc., transformer winding deformation fault diagnosis method based on frequency response binary image [ J ] high voltage technology, 2019,45(5):1526-1534. transformer winding deformation classification method based on frequency response complex value and binary processing is provided on the basis of frequency response method, and winding diagnosis sensitivity is improved. Document [2 ]: the method comprises the steps of determining a winding mixed fault analysis method [ J ] based on multi-index fusion, a high voltage technology, 2021,47(02): 537-. At present, the detection effect of the winding deformation based on the frequency response method is good, and the potential of online detection is provided. However, because the frequency response detection result is lack of related criterion support for the winding deformation state, the quantitative diagnosis of the transformer winding deformation type and degree does not form a uniform standard, and people with abundant professional experience can accurately judge the deformation type and degree.
Disclosure of Invention
In order to solve the technical problems, the invention provides a transformer winding deformation fault diagnosis method based on three-dimensional frequency response curve centroid analysis, and the method can sensitively and effectively distinguish the fault types of windings through the difference of distribution intervals of the three-dimensional frequency response curve centroid.
The technical scheme adopted by the invention is as follows:
the transformer winding deformation fault diagnosis method based on the three-dimensional frequency response curve centroid analysis comprises the following steps:
step 1: establishing a transformer winding lumped parameter model, injecting a sine frequency sweep signal into the transformer winding lumped parameter model, and obtaining a winding input voltage
And an output voltage
Obtaining normal winding amplitude-frequency data and phase-frequency data as fingerprint data;
step 2: adjusting circuit parameters of a transformer winding centralized parameter model, realizing the simulation of various fault deformations of a winding, and acquiring amplitude and phase data of the winding in different fault states;
and step 3: presenting the frequency, amplitude and phase obtained in the step 1 and the step 2 in a three-dimensional Cartesian coordinate system as x, y and z values to establish a three-dimensional frequency response curve;
and 4, step 4: by the formula
Wherein x, y and z represent frequency, amplitude and phase respectively, and xo、yo、zoThen it is its centroid, n represents the number of points taken; respectively calculating the values of mass center coordinates x, y and z represented by the frequency, the amplitude and the phase, and visualizing the obtained coordinates (x, y and z) to obtain the mass center distribution of each three-dimensional frequency response curve;
and 5: and (4) according to the three-dimensional curve centroid result obtained by calculation in the step (4), establishing a three-dimensional coordinate system by taking the normal winding three-dimensional frequency response curve centroid as an original point, distributing the centroids of the three-dimensional frequency response curves of different faults around the three-dimensional frequency response curve, and determining the fault type of the winding according to the difference of centroid distribution intervals.
In the step 1, a transformer winding centralized parameter model is established by using circuit simulation software PSpice, and a sine frequency sweeping signal with the frequency range of 1 kHZ-1 MHZ is injected into a head-end winding of the transformer winding centralized parameter model.
PSpice establishes a transformer winding centralized parameter model as shown in fig. 6, the transformer winding centralized parameter model is symmetrical, and the windings at the first end and the last end are the same, so that signals can be injected from the first winding to obtain required frequency response data at the winding at the tail end, and signals can be injected from the tail end to obtain data at the head end.
In the step 2, various fault degree deformation simulations of the winding are performed by using circuit parameters with different percentages, and within the parameter variation range of 5% -95%, 3 types of fault are simulated by taking 5% as a gradient: axial deformation, radial deformation and axial offset, 19 failure levels per type.
Document [3 ]: the underwatering power transformer frequency response analysis signatures discloses that when different fault types occur, the relevant variables in the transformer lumped parameter model change, as shown in table 1.
The 5% -95% parameter change specifically refers to the variation range of the related parameters corresponding to the fault type, as shown in fig. 7, the capacitance to ground C in the centralized parameter model of the transformer simulated by the invention is 121.286 pF. For example, when the axial center offset fault is simulated, only the ground capacitance C is required to be adjusted, that is, the value of C is increased, and within the range of "5% -95% parameter change" of the value of the ground capacitance C, "5% is used as a gradient", that is, 19 kinds of changes, such as 1.05 times C, 1.1 times C … 1.95.95 times C, of the ground capacitance C are changed to simulate the axial center offsets of 19 kinds of different fault degrees.
Therefore, the invention uses equivalent parameters with different percentages to simulate the deformation of the winding in various degrees, and adjusts the state quantity of the simulation circuit of the centralized parameter model of the transformer, thereby realizing the simulation of different fault states.
In the step 3, a three-dimensional frequency response curve graph is established by using the frequency of the sweep frequency signal as an x-axis coordinate value, the frequency response amplitude as a y-axis coordinate value and the frequency response phase value as a z-axis coordinate value.
In the step 5, the coordinates of the mass center x obtained by the frequency are the same, and after the three-dimensional cartesian coordinate system is established with the mass center of the normal winding three-dimensional frequency response curve as the origin, the coordinate values of the frequency response axes are all 0, as shown in fig. 3(a) and 3 (b).
The frequency points selected during simulation are all constant; therefore, a three-dimensional cartesian coordinate system is projected, only the amplitude and the phase, namely the y-axis coordinate and the z-axis coordinate, are reserved, and the two-dimensional centroid distribution diagram is drawn by dimension reduction, as shown in fig. 5, and the offset of the three-dimensional frequency response curve under different faults is represented by centroid offset.
In the step 5, according to a two-dimensional centroid distribution map drawn by the amplitude and phase coordinates, a cartesian two-dimensional coordinate system of centroid distribution is divided into four intervals, three faults of axial deformation, radial deformation and axis offset are respectively distributed in different intervals, and the fault types are classified according to the difference of the obtained centroid distribution intervals.
In the step 5, if the centroid distribution result has the following characteristics:
firstly, if the centroid of the obtained three-dimensional frequency response curve is located in an interval 1, radial deformation occurs to the transformer winding;
if the centroid of the obtained three-dimensional frequency response curve is located in the interval 3, the transformer winding is axially deformed;
and thirdly, if the centroid of the obtained three-dimensional frequency response curve is located in the interval 4, the axis of the transformer winding is deviated.
The invention relates to a transformer winding deformation fault diagnosis method based on three-dimensional frequency response curve centroid analysis, which has the following technical effects:
1) according to the method, on the basis of the original frequency response curve, the phase frequency information of the frequency response curve is considered, so that a three-dimensional frequency response curve is constructed. Compared with the traditional method of analyzing the winding state only through the frequency response amplitude, the established three-dimensional frequency response curve has more characteristics, and the identification precision of the frequency response method is improved.
2) Compared with the original two-dimensional frequency response curve, the method has the advantages that the characteristic of reflecting the winding fault is added, and the winding fault can be classified by the mass center offset condition of the three-dimensional frequency response curve. The method has higher sensitivity when diagnosing the axial displacement fault of the transformer winding, and improves the accuracy of the deformation diagnosis of the transformer winding.
3) The method calculates the mass center of each three-dimensional frequency response curve through an algorithm, and establishes a three-dimensional coordinate system by taking the mass center of the three-dimensional frequency response curve of the normal winding as an origin. And the fault classification is realized by analyzing the distribution intervals of the three-dimensional frequency response curve centroids of the three simulated faults. The fault classification of the transformer winding can be effectively realized by analyzing the mass center of the three-dimensional frequency response curve, and the thought is widened for the research field.
Drawings
FIG. 1 is a flow chart of the present invention.
FIG. 2(a) is a first three-dimensional frequency response graph for different faults at different angles according to the present invention;
fig. 2(b) is a two-dimensional frequency response graph of different faults at different angles according to the present invention.
FIG. 3(a) is a first diagram of the centroid distribution of the three-dimensional frequency response curve at different angles according to the present invention;
fig. 3(b) is a second diagram of the centroid distribution of the three-dimensional frequency response curve at different angles according to the present invention.
Fig. 4 is a schematic diagram of centroid shift proposed by the present invention.
Fig. 5 is a diagram of the centroid shift of the three-dimensional frequency response curve according to the present invention.
Fig. 6 is an equivalent circuit diagram of a transformer winding used in the present invention.
FIG. 7 is a diagram of a transformer winding set parameter model established using PSpice according to the present invention.
Detailed Description
A transformer winding deformation fault diagnosis method based on three-dimensional frequency response curve centroid analysis establishes a three-dimensional frequency response curve graph with scanned frequency, amplitude and phase as x, y and z respectively. Compared with the traditional method of analyzing the winding state only through the frequency response amplitude, the established three-dimensional frequency response curve has more characteristics, and the identification precision of the frequency response method is improved; and calculating the mass center of each three-dimensional frequency response curve through an algorithm, establishing a three-dimensional coordinate system by taking the mass center of the normal winding three-dimensional frequency response curve as an original point, and analyzing different distributions of the mass centers of the three-dimensional frequency response curves of different fault types to diagnose the faults. The method comprises the following steps:
step 1: establishing a transformer winding lumped parameter model, injecting a sine frequency sweep signal into the transformer winding lumped parameter model, and obtaining a winding input voltage
And an output voltage
And obtaining normal winding amplitude-frequency data and phase-frequency data as fingerprint data. The fingerprint data refers to the original basic data for comparison, i.e. the key data in the present inventionAnd (5) frequency response data of the winding of the transformer.
Step 2: and adjusting circuit parameters of a concentrated parameter model of the transformer winding to realize the deformation simulation of various faults of the winding and obtain amplitude and phase data of the winding in different fault states.
And step 3: and (3) presenting the frequency, the amplitude and the phase acquired in the step (1) and the step (2) in a three-dimensional Cartesian coordinate system as x, y and z values to establish a three-dimensional frequency response curve.
And 4, step 4: by the formula
Wherein x, y and z represent frequency, amplitude and phase respectively, and xo、yo、zoThen it is its centroid, n represents the number of points taken; the centroid coordinates x, y, z values represented by the frequency, amplitude and phase are calculated respectively, and the resulting coordinates (x, y, z) are visualized, i.e. the visualization shows the data in the form of a graph, as shown in fig. 3 in particular. And obtaining the mass center distribution of each three-dimensional frequency response curve.
And 5: and (4) according to the three-dimensional curve centroid result obtained by calculation in the step (4), establishing a three-dimensional coordinate system by taking the normal winding three-dimensional frequency response curve centroid as an original point, distributing the centroids of the three-dimensional frequency response curves of different faults around the three-dimensional frequency response curve, and determining the fault type of the winding according to the difference of centroid distribution intervals.
And (3) calculating the frequency response data obtained in the step (1) to obtain a centroid coordinate by using a formula in the step (4), and establishing a three-dimensional coordinate system by using the centroid coordinate of the normal winding as an origin. For example: the obtained three-dimensional frequency response curve centroid of the normal winding is (X, Y, Z) — (144857.4, -87.88097, -426.8259) corresponding frequency, amplitude and phase respectively, and the three-dimensional frequency response curve centroid coordinates of the simulated fault are used, for example: the coordinates of the centroid when the parameters of the radial deformation are changed by 50% (X1, Y1, Z1) ═ 144857.4, -87.80565, -417.01324, a coordinate system is established with the centroid of the three-dimensional frequency response curve of the normal winding as the origin, that is, (X1, Y1, Z1) is subtracted by (X, Y, Z), and the resulting three-dimensional coordinate system established with the coordinates of the centroid of the normal winding as the origin is shown in fig. 3.
In the step 1, a transformer winding centralized parameter model is established by using circuit simulation software PSpice, and a sine frequency sweeping signal with the frequency range of 1 kHZ-1 MHZ is injected into a head-end winding of the transformer winding centralized parameter model.
In the step 2, various fault degree deformation simulations of the winding are performed by using circuit parameters with different percentages, and within the parameter variation range of 5% -95%, 3 types of fault are simulated by taking 5% as a gradient: axial deformation, radial deformation and axial offset, 19 failure levels per type.
In the step 3, a three-dimensional frequency response curve graph is established by using the frequency of the sweep frequency signal as an x-axis coordinate value, the frequency response amplitude as a y-axis coordinate value and the frequency response phase value as a z-axis coordinate value.
In the step 5, the x coordinates of the mass centers obtained by the frequency are the same, and after a three-dimensional Cartesian coordinate system is established by taking the mass center of the three-dimensional frequency response curve of the normal winding as an origin, the coordinate values of the frequency response axes are all 0; the frequency points selected during simulation are all constant; therefore, a three-dimensional Cartesian coordinate system is projected, only the amplitude and the phase, namely the y-axis coordinate and the z-axis coordinate, are reserved, and the two-dimensional centroid distribution map is drawn by reducing the dimension of the three-dimensional Cartesian coordinate system; and the deviation of the three-dimensional frequency response curve under different faults is characterized by the centroid deviation.
In the step 5, according to a two-dimensional centroid distribution map drawn by the amplitude and phase coordinates, a cartesian two-dimensional coordinate system of centroid distribution is divided into four intervals, three faults of axial deformation, radial deformation and axis offset are respectively distributed in different intervals, and the fault types are classified according to the difference of the obtained centroid distribution intervals.
In the step 5, if the centroid distribution result has the following characteristics:
firstly, if the centroid of the obtained three-dimensional frequency response curve is located in an interval 1, radial deformation occurs to the transformer winding;
if the centroid of the obtained three-dimensional frequency response curve is located in the interval 3, the transformer winding is axially deformed;
and thirdly, if the centroid of the obtained three-dimensional frequency response curve is located in the interval 4, the axis of the transformer winding is deviated.
The transformer winding is simulated by using PSpice. Currently, no research has explored the definitive connection of the degree of winding failure to its associated state quantity. Therefore, the invention uses equivalent parameters with different percentages to simulate the deformation of the winding in various degrees. And adjusting the state quantity of the simulation circuit to simulate different fault states.
The present invention simulates three faults. Including axial deformation, radial deformation, and axial misalignment. The present invention simulates 3 fault types with 5% as a gradient in the 5% -95% parameter variation range based on the parameter variation indicated in table 1.
TABLE 1 model parameter value variation corresponding to fault type
And establishing a three-dimensional Cartesian coordinate system by taking the frequency, the amplitude and the phase as x, y and z axis coordinates respectively. For example: the obtained three-dimensional frequency response curve centroid of the normal winding is (X, Y, Z) ═ frequency, amplitude and phase respectively corresponding to (144857.4, -87.88097, -426.8259), a coordinate system is established by taking the centroid of the simulated three-dimensional frequency response curve with a fault as an origin, for example, the centroid coordinate (X1, Y1, Z1) when parameters are changed by 50% of radial deformation is (144857.4, -87.80565, -417.01324), namely, (X, Y, Z) is subtracted from (X1, Y1, Z1), and the finally obtained three-dimensional coordinate system established by taking the coordinate of the normal winding as the origin is shown in fig. 3.
Fig. 2(a) and 2(b) are three-dimensional frequency response curves of different faults under different angles. Because the traditional frequency response method only considers the amplitude and the frequency, and the three-dimensional frequency response curve provided by the invention simultaneously considers the frequency, the amplitude and the phase value, the state quantity extracted from the obtained curve is more reliable compared with the traditional method.
Compared with the traditional method of analyzing the winding state only through the frequency response amplitude, the established three-dimensional frequency response curve has more characteristics, and the identification precision of the frequency response method is improved.
Calculating the mass center of each three-dimensional frequency response curve according to the obtained three-dimensional frequency response curve, wherein a mass center calculation formula is as follows:
in the formula, x, y and z respectively represent frequency, amplitude and phase; x is the number ofo、yo、zoThen its centroid; n represents the number of points taken. And establishing a three-dimensional coordinate system by taking the mass center of the three-dimensional frequency response curve of the normal winding as an origin according to the mass center calculation result. Three different fault three-dimensional frequency response curve centroids are distributed around the three different fault three-dimensional frequency response curve centroids.
Fig. 3(a) and 3(b) show three-dimensional centroid profiles of frequency response curves at different angles. As is apparent from fig. 3(a) and 3(b), the radial deformation represented by "+", the axial deviation represented by "major axis", and the axial deformation represented by "·" are respectively located in different sections, and the fault types can be identified by the distribution of the sections.
Fig. 3(a) and 3(b) show Radial Deformation (RD), Axial Offset (AO), and Axial Deformation (AD), respectively. It can be seen from fig. 3(a) and 3(b) that the coordinates of the centroid found by the frequency are the same, and after the three-dimensional cartesian coordinate system is established with the centroid of the three-dimensional frequency response curve of the normal winding as the origin, the coordinate values of the frequency response axes are all 0. This is because the frequency points selected during simulation are all constant. The results shown in fig. 3(a) and 3(b) indicate that the positions of the centroids in different failure states are regular. Therefore, the three-dimensional Cartesian coordinate system is projected, only the amplitude and the phase are reserved, and the two-dimensional centroid distribution diagram is drawn by dimension reduction. The offset of the three-dimensional curves of the windings in different states is characterized by the centroid offset.
Figure 4 shows a schematic diagram of centroid migration. As shown in FIG. 4, the three-dimensional centroid coordinate of the winding in the normal state is taken as the origin (x)o,yo) The three-dimensional centroid coordinate when the winding fails is (x)i,yi) Distributed around it. Root of herbaceous plantIt is divided into four intervals according to the cartesian coordinate system.
After the three-dimensional frequency response curve centroid of the normal frequency winding is taken as the origin, the x coordinate, namely the frequency coordinate, of the centroid of each fault three-dimensional curve becomes 0. Therefore, the centroid of the three-dimensional frequency response curve is projected and is changed into two-dimensional for analysis.
Fig. 5 is a three-dimensional frequency response curve centroid displacement diagram. As shown in fig. 5, it is obvious that the distribution of different faults is regular, and the three faults are distributed in different intervals respectively. As can be seen in fig. 5, the radial deformation is in the interval 1, the axial offset is in the interval 4 and the axial deformation is in the interval 3. The method for analyzing the transformer winding fault based on the three-dimensional frequency response curve centroid characteristics is proved to be capable of being used for diagnosing the transformer winding fault, and the distinguishing degree is obvious.
Claims (7)
1. The transformer winding deformation fault diagnosis method based on the three-dimensional frequency response curve centroid analysis is characterized by comprising the following steps of:
step 1: establishing a transformer winding lumped parameter model, injecting a sine frequency sweep signal into the transformer winding lumped parameter model, and obtaining a winding input voltage
And an output voltage
Obtaining normal winding amplitude-frequency data and phase-frequency data;
step 2: adjusting circuit parameters of a transformer winding centralized parameter model, realizing the simulation of various fault deformations of a winding, and acquiring amplitude and phase data of the winding in different fault states;
and step 3: presenting the frequency, amplitude and phase obtained in the step 1 and the step 2 in a three-dimensional Cartesian coordinate system as x, y and z values to establish a three-dimensional frequency response curve;
and 4, step 4: by the formula
Wherein x, y and z represent frequency, amplitude and phase respectively, and xo、yo、zoThen it is its centroid, n represents the number of points taken; respectively calculating the values of mass center coordinates x, y and z represented by the frequency, the amplitude and the phase, and visualizing the obtained coordinates (x, y and z) to obtain the mass center distribution of each three-dimensional frequency response curve;
and 5: and (4) according to the three-dimensional curve centroid result obtained by calculation in the step (4), establishing a three-dimensional coordinate system by taking the normal winding three-dimensional frequency response curve centroid as an original point, distributing the centroids of the three-dimensional frequency response curves of different faults around the three-dimensional frequency response curve, and determining the fault type of the winding according to the difference of centroid distribution intervals.
2. The transformer winding deformation fault diagnosis method based on the three-dimensional frequency response curve centroid analysis, characterized by comprising the following steps of: in the step 1, a transformer winding centralized parameter model is established by using circuit simulation software PSpice, and a sine frequency sweeping signal with the frequency range of 1 kHZ-1 MHZ is injected into a head-end winding of the transformer winding centralized parameter model.
3. The transformer winding deformation fault diagnosis method based on the three-dimensional frequency response curve centroid analysis, characterized by comprising the following steps of: in the step 2, various fault degree deformation simulations of the winding are performed by using circuit parameters with different percentages, and within the parameter variation range of 5% -95%, 3 types of fault are simulated by taking 5% as a gradient: axial deformation, radial deformation and axial offset, 19 failure levels per type.
4. The transformer winding deformation fault diagnosis method based on the three-dimensional frequency response curve centroid analysis, characterized by comprising the following steps of: in the step 3, a three-dimensional frequency response curve graph is established by using the frequency of the sweep frequency signal as an x-axis coordinate value, the frequency response amplitude as a y-axis coordinate value and the frequency response phase value as a z-axis coordinate value.
5. The transformer winding deformation fault diagnosis method based on the three-dimensional frequency response curve centroid analysis, characterized by comprising the following steps of: in the step 5, the x coordinates of the mass centers obtained by the frequency are the same, and after a three-dimensional Cartesian coordinate system is established by taking the mass center of the three-dimensional frequency response curve of the normal winding as an original point, the coordinate values of the frequency response axes are all 0; projecting a three-dimensional Cartesian coordinate system, only retaining amplitude and phase, namely y-axis coordinates and z-axis coordinates, and performing dimension reduction on the three-dimensional Cartesian coordinate system to draw a two-dimensional centroid distribution map; and the deviation of the three-dimensional frequency response curve under different faults is characterized by the centroid deviation.
6. The transformer winding deformation fault diagnosis method based on the three-dimensional frequency response curve centroid analysis, characterized by comprising the following steps of: in the step 5, according to a two-dimensional centroid distribution map drawn by the amplitude and phase coordinates, a cartesian two-dimensional coordinate system of centroid distribution is divided into four intervals, three faults of axial deformation, radial deformation and axis offset are respectively distributed in different intervals, and the fault types are classified according to the difference of the obtained centroid distribution intervals.
7. The transformer winding deformation fault diagnosis method based on the three-dimensional frequency response curve centroid analysis according to claim 1 or 6, characterized by comprising the following steps: in the step 5, if the centroid distribution result has the following characteristics:
firstly, if the centroid of the obtained three-dimensional frequency response curve is located in an interval 1, radial deformation occurs to the transformer winding;
if the centroid of the obtained three-dimensional frequency response curve is located in the interval 3, the transformer winding is axially deformed;
and thirdly, if the centroid of the obtained three-dimensional frequency response curve is located in the interval 4, the axis of the transformer winding is deviated.
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| CN115389985A (en) * | 2022-09-07 | 2022-11-25 | 国网安徽省电力有限公司电力科学研究院 | Frequency response method-based transformer winding deformation degree online detection method |
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| CN115389985A (en) * | 2022-09-07 | 2022-11-25 | 国网安徽省电力有限公司电力科学研究院 | Frequency response method-based transformer winding deformation degree online detection method |
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