CN111308286B - Method for estimating service life of traction transformer under multi-parameter empowerment combination - Google Patents
Method for estimating service life of traction transformer under multi-parameter empowerment combination Download PDFInfo
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- CN111308286B CN111308286B CN202010150333.8A CN202010150333A CN111308286B CN 111308286 B CN111308286 B CN 111308286B CN 202010150333 A CN202010150333 A CN 202010150333A CN 111308286 B CN111308286 B CN 111308286B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/12—Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing
- G01R31/1227—Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing of components, parts or materials
- G01R31/1263—Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing of components, parts or materials of solid or fluid materials, e.g. insulation films, bulk material; of semiconductors or LV electronic components or parts; of cable, line or wire insulation
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N3/00—Investigating strength properties of solid materials by application of mechanical stress
- G01N3/08—Investigating strength properties of solid materials by application of mechanical stress by applying steady tensile or compressive forces
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N30/00—Investigating or analysing materials by separation into components using adsorption, absorption or similar phenomena or using ion-exchange, e.g. chromatography or field flow fractionation
- G01N30/02—Column chromatography
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/12—Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing
- G01R31/16—Construction of testing vessels; Electrodes therefor
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N30/00—Investigating or analysing materials by separation into components using adsorption, absorption or similar phenomena or using ion-exchange, e.g. chromatography or field flow fractionation
- G01N30/02—Column chromatography
- G01N2030/022—Column chromatography characterised by the kind of separation mechanism
- G01N2030/027—Liquid chromatography
Abstract
The invention discloses a method for estimating service life of a traction transformer under multi-parameter empowerment combination. Firstly, an impact load test platform is set up, impact time is set, power frequency dielectric loss factors, tensile strength and furfural content in oil of the oil paper insulation of the traction transformer at different impact time are obtained through a frequency domain dielectric spectrum tester, a tensile strength tester and a liquid chromatograph, then abnormal values of the power frequency dielectric loss factors, the tensile strength and the furfural content in the oil are removed and preprocessed through an abnormal sample detection method, then the weight of each parameter at different impact time is determined through a variation coefficient method, then characteristic parameters of the oil paper insulation service life of the traction transformer are obtained, and finally service life calculation is carried out. According to the method, abnormal data are effectively reduced through an abnormal sample detection method, the reliability of the data is improved, and the influence of a single weight on evaluation is reduced through a method for determining the weight through a coefficient of variation method.
Description
Technical Field
The invention relates to the field of service life assessment of a traction transformer, in particular to a method for estimating the service life of the traction transformer under multi-parameter empowerment combination.
Background
The traction power supply system is used as an important component of a high-speed railway and an electrified railway, the stable operation of the traction power supply system is an important basis for the development of the electrified railway, in the practical engineering, the operation condition of a traction transformer is complex, and frequent switching caused by severe traction load fluctuation, start-stop and split-phase is often faced, so that the operation condition of the traction transformer is worse than that of a common power transformer, and meanwhile, the internal thermal field of the traction transformer is more concentrated due to the limitation of the size and the weight. Under the long-term action of an impact traction load, the insulation paper in the oil paper insulation system of the traction transformer bears impact mechanical stress, the degradation of the insulation mechanical property of a winding is accelerated, and then a safety accident of the traction transformer is induced, so that the safe operation of a traction power supply system is seriously threatened.
The service life of the traction transformer mainly depends on the state of oil-paper insulation inside the traction transformer, the service life of the traction transformer under impact load is rarely researched currently, evaluation calculation is mainly carried out on the oil-paper insulation state in the traction transformer under single factor, the test result is high in randomness and is not representative, the service life of the traction transformer under impact load cannot be truly reflected, and in order to effectively calculate the service life of the traction transformer under impact load, the invention provides a method for estimating the service life of the traction transformer under multi-parameter empowerment combination.
Disclosure of Invention
In order to effectively calculate the service life of the traction transformer under impact load, the invention provides a method for estimating the service life of the traction transformer under multi-parameter empowerment combination, which comprises the following steps:
the first step is as follows: building platform
The method comprises the steps of building an impact load comprehensive test platform, wherein the test platform mainly comprises a test box body (1), a first partition plate (2), a second partition plate (3), insulating oil (4), insulating paper (5), an electric heating plate (6), an impact load simulation generator (7), a frequency domain dielectric spectrum tester (8), a liquid chromatograph (9), a tensile strength tester (10), a computer (11), a constant temperature box (12), a three-electrode system (13), a valve (14), an oil flow port (15) and a flow pipe (16), wherein the test box body (1) is divided into a first test area (17), a second test area (18) and a third test area (19) by the first partition plate (2) and the second partition plate (3), the insulating paper (5) is clamped in the electric heating plate (6), the insulating oil (4) is arranged in the first test area (17), and the insulating oil (4) is higher than the electric heating plate (6), the incubator (12) and the three-electrode system (13) are placed in the second test area (18), and the tensile strength tester (10) is placed in the third test area (19);
the second step is that: parameter measurement
Starting the impact load simulation generator (7), setting the total impact time to be T days by taking days as units, and taking out the insulating oil (4) and the insulating paper (5) after each day of impact to perform the following tests:
starting the frequency domain dielectric spectrum tester (8), placing the insulating paper (5) impacted every day in a three-electrode system (13), setting the temperature of the constant temperature box (12) to be 25 ℃, testing the power frequency dielectric loss factor P times of the insulating paper (5) after the impact time of each day, marking as tan delta (i, t), and finally storing the test data in the computer (11);
opening the oil flow port (15), opening the valve (14), taking the insulating oil (4) into the liquid chromatograph (9), testing the furfural content in the oil P times after each day of impact, marking as WC (i, t), and finally storing the test data in the computer (11);
starting the tensile strength tester (10), placing the insulating paper (5) impacted every day in the tensile strength tester (10), testing the tensile strength of the insulating paper (5) P times after each day of impact time, marking as TS (i, t), and finally storing the test data in the computer (11);
tan delta (i, t), WC (i, t), TS (i, t), wherein i represents the ith test, and t represents the impact time of the tth day;
the third step: outlier rejection processing
The method comprises the following steps of carrying out abnormal value elimination pretreatment on power frequency dielectric loss factors tan delta (i, t), tensile strength TS (i, t) and furfural content WC (i, t) in oil, which are tested at the same impact time, and comprises the following steps:
forming a data set by using the power frequency dielectric loss factor tan delta (i, t), the tensile strength TS (i, t) and the furfural content WC (i, t) in the oil at the same impact time: x is the number of1,n,t,x2,n,t,x3,n,t,…xi,n,tI denotes the ith test, n denotes the test characteristicsN-1 represents the power frequency dielectric loss factor tan delta (i, t) characteristic, n-2 represents the tensile strength TS (i, t) characteristic, and n-3 represents the furfural content WC (i, t) characteristic in the oil;
calculating the mean value u of each feature at the same impact timen,tSum variance σ2 n,t:
Removing the part not in un,t±3σ2 n,tData points in the range, and the number of the removed data points of each feature at the same impact time is recorded as k1,t、k2,t、k3,tTake k as max k1,t,k2,t,k3,tF, number k of feature n cullingn,tIf < k, then k-k is randomly eliminatedn,tAnd (3) removing abnormal points to form a new data set according to the values under the characteristic: x'1,n,t,x′2,n,t,x′3,n,t,…x′P-k,n,tRecalculating mean value and variance u of work frequency dielectric loss factor, tensile strength and furfural content in oil at the same impact time of the remaining P-k points of each characteristicn,t′,σ2 n,t', the expression is as follows:
the fourth step: determining respective parameter weights
After eliminating abnormal values, the variation coefficient method is utilized to carry out power frequency dielectric loss factor and tensile strength on each characteristic at the same impact timeWeight Q of degree and furfural content in oiln,tThe calculation method is as follows:
calculating the coefficient of variation Vn,t:
Calculating the weight Qn,t:
The fifth step: service life estimation of traction transformer
Firstly, each feature is processed under the same impact time un,t' normalization to obtain normalized un,tAcquiring a characteristic parameter chi of the service life of the traction transformert:
χt=Q1,t×u1,t″+Q2,t×u2,t″+Q3,t×u3,t″ (7)
The characteristic parameter chi of the service life of the traction transformer under different impact timetFitting with the impact time t, wherein the fitting method comprises the following steps:
setting a fitting polynomial:
H(t)=a0+a1t+a2t2+a3t3+a4t4 (8)
wherein H (t) is a fitting function, a0、a1、a2、a3、a4Is a fitting coefficient;
calculating the deviation square sum Loss:
to fitting coefficient a0、a1、a2、a3、a4Respectively solve forThe partial derivative is 0:
simplified formulae (10) to (14):
writing all coefficients containing only t into a first matrix B:
write all fitting coefficients alone to the second matrix a:
all contain chitIs written as a third matrix Y:
solving the matrix equation BA as Y to obtain a fitting coefficient a0、a1、a2、a3、a4And substituting the fitting coefficient into the formula (8) to obtain an expression of calculation of the service Life of the traction transformer on the impact load under the multi-parameter weighting combination, wherein the service Life is expressed as:
Life=Γ(H(t)) (23)
where Γ (h (t)) represents the inverse function of the fitting polynomial h (t).
According to the method, abnormal data are effectively reduced through an abnormal sample detection method, the reliability of the data is improved, and the influence of a single weight on evaluation is reduced through a method for determining the weight through a coefficient of variation method. Based on the new estimation method for the service life of the traction transformer under the multi-parameter empowerment combination, the service life of the traction transformer can be effectively judged.
Drawings
FIG. 1 is a flow chart of a method for estimating service life of a traction transformer under multi-parameter weighted combination.
FIG. 2 is a schematic diagram of a comprehensive test platform.
The device comprises a test box body (1), a first partition plate (2), a second partition plate (3), insulating oil (4), insulating paper (5), an electric hot plate (6), an impact load simulation generator (7), a frequency domain dielectric spectrum tester (8), a liquid chromatograph (9), a tensile strength tester (10), a computer (11), a constant temperature box (12), a three-electrode system (13), a valve (14), an oil flow port (15) and a flow conveying pipe (16).
Detailed Description
The first step is as follows: building platform
The method comprises the steps of building an impact load comprehensive test platform, wherein the test platform mainly comprises a test box body (1), a first partition plate (2), a second partition plate (3), insulating oil (4), insulating paper (5), an electric heating plate (6), an impact load simulation generator (7), a frequency domain dielectric spectrum tester (8), a liquid chromatograph (9), a tensile strength tester (10), a computer (11), a constant temperature box (12), a three-electrode system (13), a valve (14), an oil flow port (15) and a flow pipe (16), wherein the test box body (1) is divided into a first test area (17), a second test area (18) and a third test area (19) by the first partition plate (2) and the second partition plate (3), the insulating paper (5) is clamped in the electric heating plate (6), the insulating oil (4) is arranged in the first test area (17), and the insulating oil (4) is higher than the electric heating plate (6), the incubator (12) and the three-electrode system (13) are placed in the second test area (18), and the tensile strength tester (10) is placed in the third test area (19);
the second step is that: parameter measurement
Starting the impact load simulation generator (7), setting the total impact time to be T days by taking days as units, and taking out the insulating oil (4) and the insulating paper (5) after each day of impact to perform the following tests:
starting the frequency domain dielectric spectrum tester (8), placing the insulating paper (5) impacted every day in a three-electrode system (13), setting the temperature of the constant temperature box (12) to be 25 ℃, testing the power frequency dielectric loss factor P times of the insulating paper (5) after the impact time of each day, marking as tan delta (i, t), and finally storing the test data in the computer (11);
opening the oil flow port (15), opening the valve (14), taking the insulating oil (4) into the liquid chromatograph (9), testing the furfural content in the oil P times after each day of impact, marking as WC (i, t), and finally storing the test data in the computer (11);
starting the tensile strength tester (10), placing the insulating paper (5) impacted every day in the tensile strength tester (10), testing the tensile strength of the insulating paper (5) P times after each day of impact time, marking as TS (i, t), and finally storing the test data in the computer (11);
tan delta (i, t), WC (i, t), TS (i, t), wherein i represents the ith test, and t represents the impact time of the tth day;
the third step: outlier rejection processing
The method comprises the following steps of carrying out abnormal value elimination pretreatment on power frequency dielectric loss factors tan delta (i, t), tensile strength TS (i, t) and furfural content WC (i, t) in oil, which are tested at the same impact time, and comprises the following steps:
forming a data set by using the power frequency dielectric loss factor tan delta (i, t), the tensile strength TS (i, t) and the furfural content WC (i, t) in the oil at the same impact time: x is the number of1,n,t,x2,n,t,x3,n,t,…xi,n,tI represents the ith test, n represents the test characteristic, n-1 represents the power frequency dielectric loss factor tan delta (i, t) characteristic, n-2 represents the tensile strength TS (i, t) characteristic, and n-3 represents the furfural content WC (i, t) characteristic in the oil;
calculating the mean value u of each feature at the same impact timen,tSum variance σ2 n,t:
Removing the part not in un,t±3σ2 n,tData points in the range, and the number of the removed data points of each feature at the same impact time is recorded as k1,t、k2,t、k3,tTake k as max k1,t,k2,t,k3,tF, number k of feature n cullingn,tIf < k, then k-k is randomly eliminatedn,tAnd (3) removing abnormal points to form a new data set according to the values under the characteristic: x'1,n,t,x′2,n,t,x′3,n,t,…x′P-k,n,tRecalculating mean value and variance u of work frequency dielectric loss factor, tensile strength and furfural content in oil at the same impact time of the remaining P-k points of each characteristicn,t′,σ2 n,t', the expression is as follows:
the fourth step: determining respective parameter weights
After removing abnormal numerical values, weighting Q for power frequency dielectric loss factor, tensile strength and furfural content in oil of each characteristic at the same impact time by using a coefficient of variation methodn,tThe calculation method is as follows:
calculating the coefficient of variation Vn,t:
Calculating the weight Qn,t:
The fifth step: service life estimation of traction transformer
Firstly, each feature is processed under the same impact time un,t' normalization to obtain normalized un,tAcquiring a characteristic parameter chi of the service life of the traction transformert:
χt=Q1,t×u1,t″+Q2,t×u2,t″+Q3,t×u3,t″ (7)
Pulling down different impact timeCharacteristic parameter chi of service life of transformertFitting with the impact time t, wherein the fitting method comprises the following steps:
setting a fitting polynomial:
H(t)=a0+a1t+a2t2+a3t3+a4t4 (8)
wherein H (t) is a fitting function, a0、a1、a2、a3、a4Is a fitting coefficient;
calculating the deviation square sum Loss:
to fitting coefficient a0、a1、a2、a3、a4Respectively solving the partial derivatives of the two to be 0:
simplified formulae (10) to (14):
writing all coefficients containing only t into a first matrix B:
write all fitting coefficients alone to the second matrix a:
all contain chitIs written as a third matrix Y:
solving the matrix equation BA as Y to obtain a fitting coefficient a0、a1、a2、a3、a4And substituting the fitting coefficient into the formula (8) to obtain an expression of calculation of the service Life of the traction transformer on the impact load under the multi-parameter weighting combination, wherein the service Life is expressed as:
Life=Γ(H(t)) (23)
where Γ (h (t)) represents the inverse function of the fitting polynomial h (t).
Claims (1)
1. A method for estimating service life of a traction transformer under multi-parameter empowerment combination is characterized by comprising the following steps:
the first step is as follows: building platform
The method comprises the steps of building an impact load comprehensive test platform, wherein the test platform mainly comprises a test box body (1), a first partition plate (2), a second partition plate (3), insulating oil (4), insulating paper (5), an electric heating plate (6), an impact load simulation generator (7), a frequency domain dielectric spectrum tester (8), a liquid chromatograph (9), a tensile strength tester (10), a computer (11), a constant temperature box (12), a three-electrode system (13), a valve (14), an oil flow port (15) and a flow pipe (16), wherein the test box body (1) is divided into a first test area (17), a second test area (18) and a third test area (19) by the first partition plate (2) and the second partition plate (3), the insulating paper (5) is clamped in the electric heating plate (6), the insulating oil (4) is arranged in the first test area (17), and the insulating oil (4) is higher than the electric heating plate (6), the incubator (12) and the three-electrode system (13) are placed in the second test area (18), and the tensile strength tester (10) is placed in the third test area (19);
the second step is that: parameter measurement
Starting the impact load simulation generator (7), setting the total impact time to be T days by taking days as units, and taking out the insulating oil (4) and the insulating paper (5) after each day of impact to perform the following tests:
starting the frequency domain dielectric spectrum tester (8), placing the insulating paper (5) impacted every day in a three-electrode system (13), setting the temperature of the constant temperature box (12) to be 25 ℃, testing the power frequency dielectric loss factor P times of the insulating paper (5) after the impact time of each day, marking as tan delta (i, t), and finally storing the test data in the computer (11);
opening the oil flow port (15), opening the valve (14), taking the insulating oil (4) into the liquid chromatograph (9), testing the furfural content in the oil P times after each day of impact, marking as WC (i, t), and finally storing the test data in the computer (11);
starting the tensile strength tester (10), placing the insulating paper (5) impacted every day in the tensile strength tester (10), testing the tensile strength of the insulating paper (5) P times after each day of impact time, marking as TS (i, t), and finally storing the test data in the computer (11);
tan delta (i, t), WC (i, t), TS (i, t), wherein i represents the ith test, and t represents the impact time of the tth day;
the third step: outlier rejection processing
The method comprises the following steps of carrying out abnormal value elimination pretreatment on power frequency dielectric loss factors tan delta (i, t), tensile strength TS (i, t) and furfural content WC (i, t) in oil, which are tested at the same impact time, and comprises the following steps:
forming a data set by using the power frequency dielectric loss factor tan delta (i, t), the tensile strength TS (i, t) and the furfural content WC (i, t) in the oil at the same impact time: x is the number of1,n,t,x2,n,t,x3,n,t,…xi,n,tI represents the ith test, n represents the test characteristic, n-1 represents the power frequency dielectric loss factor tan delta (i, t) characteristic, n-2 represents the tensile strength TS (i, t) characteristic, and n-3 represents the furfural content WC (i, t) characteristic in the oil;
calculating the mean value u of each feature at the same impact timen,tSum variance σ2 n,t:
Removing the part not in un,t±3σ2 n,tData points in the range, and the number of the removed data points of each feature at the same impact time is recorded as k1,t、k2,t、k3,tTake k as max k1,t,k2,t,k3,tF, number k of feature n cullingn,tIf < k, then k-k is randomly eliminatedn,tAnd (3) removing abnormal points to form a new data set according to the values under the characteristic: x'1,n,t,x′2,n,t,x′3,n,t,…x′P-k,n,tRecalculating mean value and variance u of work frequency dielectric loss factor, tensile strength and furfural content in oil at the same impact time of the remaining P-k points of each characteristicn,t′,σ2 n,t', the expression is as follows:
the fourth step: determining respective parameter weights
After removing abnormal numerical values, weighting Q for power frequency dielectric loss factor, tensile strength and furfural content in oil of each characteristic at the same impact time by using a coefficient of variation methodn,tThe calculation method is as follows:
calculating the coefficient of variation Vn,t:
Calculating the weight Qn,t:
The fifth step: service life estimation of traction transformer
Firstly, each feature is processed under the same impact time un,t' normalization to obtain normalized un,tAcquiring a characteristic parameter chi of the service life of the traction transformert:
χt=Q1,t×u1,t″+Q2,t×u2,t″+Q3,t×u3,t″ (7)
The characteristic parameter chi of the service life of the traction transformer under different impact timetFitting with the impact time t, wherein the fitting method comprises the following steps:
setting a fitting polynomial:
H(t)=a0+a1t+a2t2+a3t3+a4t4 (8)
wherein H (t) is a fitting function, a0、a1、a2、a3、a4Is a fitting coefficient;
calculating the deviation square sum Loss:
to fitting coefficient a0、a1、a2、a3、a4Respectively solving the partial derivatives of the two to be 0:
simplified formulae (10) to (14):
writing all coefficients containing only t into a first matrix B:
write all fitting coefficients alone to the second matrix a:
all contain chitIs written as a third matrix Y:
solving the matrix equation BA as Y to obtain a fitting coefficient a0、a1、a2、a3、a4And substituting the fitting coefficient into the formula (8) to obtain an expression of calculation of the service Life of the traction transformer on the impact load under the multi-parameter weighting combination, wherein the service Life is expressed as:
Life=Γ(H(t)) (23)
where Γ (h (t)) represents the inverse function of the fitting polynomial h (t).
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