CN107831300B - Transformer insulating oil degradation evaluation method based on three-dimensional trapezoidal probability fuzzy set - Google Patents
Transformer insulating oil degradation evaluation method based on three-dimensional trapezoidal probability fuzzy set Download PDFInfo
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Abstract
The invention relates to the field of power systems and automation thereof, in particular to a transformer insulating oil degradation evaluation method based on a three-dimensional trapezoidal probability fuzzy set, which can evaluate the degradation state of insulating oil of a distribution transformer, reflects that a series of characteristic values of the evaluation of the degradation state of the insulating oil of the distribution transformer formed in published documents have fuzzy and random uncertainties, provides theoretical guidance for the evaluation of the degradation state of the insulating oil of the distribution transformer, and provides necessary technical support for operation and maintenance of a power distribution network.
Description
Technical Field
The invention relates to the field of power systems and automation thereof, in particular to a transformer insulating oil degradation evaluation method based on a three-dimensional trapezoidal probability fuzzy set.
Background
The traditional main equipment of the distribution network is usually required to be subjected to post maintenance and regular scheduled maintenance, a large amount of manpower and material resources are required to be invested, and the cost performance of maintenance is not high. Statistical studies with extensive data show that as the degree of automation of the equipment increases, the time-dependent failure modes of the equipment account for only 6% of all failure modes of the equipment, and therefore the time-based periodic maintenance strategy is effective for only 6% of the failure modes of the equipment. The maintenance mode of prolonging or shortening the maintenance period is determined by taking the regular maintenance as the main combination experience, and a certain effect is achieved.
With the increasing number of power equipment, the association relationship among the equipment becomes more and more complex, the social requirement on the power supply reliability becomes higher and higher, and the arrangement of power failure maintenance becomes increasingly difficult; the distribution network equipment quantity is large, the running state is complex and changeable, the state of the distribution network main equipment is difficult to detect and evaluate in time, the traditional maintenance strategy pays more attention to test data and pays less attention to running data, and the requirement of increasingly lean state maintenance management cannot be met.
The distribution transformer has a large number, can have different degrees of deterioration, deterioration and defects, has familiarity and concealment, and is difficult to detect and evaluate in time. Due to the fact that the operation years, the environment, the overhaul and the like are greatly different and are influenced by multiple factors, the difficulty and the complexity of the evaluation of the operation health state of the distribution transformer are increased, and the higher requirements of the accurate and intelligent evaluation cannot be met.
The safe and reliable operation of the distribution transformer firstly needs strict quality guarantee and also needs enough maintenance and overhaul guarantee. Although regular preventive maintenance can prevent the occurrence of a failure accident event due to deterioration, or defect problems to some extent, it is difficult to find defects or the like having extremely high potential and concealment. Troubleshooting is a passive mode of maintenance, has great stress and uncertainty, and is also prone to cause the problem of over-repair or overhaul. The state maintenance has pertinence and rationality, can effectively overcome the problems of overhauling and overhauling caused by regular maintenance, can prevent the expansion and the seriousness of the problems of the deterioration, the deterioration or the defect of the distribution equipment, and is the trend of the development of the equipment maintenance in future.
Traditionally, the insulation state of a distribution transformer is estimated by mostly adopting a single factor data calculation and analysis method such as dissolved gas in oil, and potential defects of the gradually developed transformer can be accurately and reliably found; the single factor data is processed, calculated and analyzed by utilizing mathematical methods such as a wavelet network method, a neural network method, a fuzzy clustering method, a gray clustering method, a support vector machine, a rough set method, an evidence reasoning method, a Bayesian network classifier and the like, and the deterioration, the deterioration and the defect states of the distribution transformer can be accurately and reliably evaluated. Although the neural network method utilizes the pre-self-training and self-learning modes to process and calculate the high-risk data, the neural network method is seriously influenced by the state value of a system or parameters, retraining and learning are needed once the state changes, the adaptability is weak and the analysis result is influenced; the fault tree method is used for carrying out detailed decomposition on faults according to a certain rule so as to analyze the fault types and reasons thereof, the integrity and the correctness of very detailed fault information are required, and potential faults are difficult to discover; the support vector machine method adopts a certain rule to carry out layered processing on data, and the problems of wrong division, wrong division and the like are easy to occur when the data amount is large; the rough set and fuzzy theory method has unique advantages in the aspect of processing randomness and fuzzy data, but the rough set can only process discrete data, and the fuzzy theory method has no self-learning and self-adaption capability; the Bayesian network classification method can well process incomplete data, but key attribute data of a system or parameters are required to be provided completely, otherwise, the calculation and evaluation accuracy is low; the evidence reasoning theory can process the redundant information or data better and accurately, but the event discrimination applied to the evidence has great limitation when the information or the data are contradictory.
The evaluation accuracy is low easily caused by using experience, single parameters or a small amount of data, and the problems of overhauling or overhauling and the like are further caused. On the basis of fusion of multi-source data of delivery, monitoring, testing, routing inspection, operation, metering, automation and the like, classification evaluation is carried out according to equipment types, operation conditions and application environments, a health state model of the distribution transformer based on data driving is established, state evaluation is carried out by means of redundancy analysis and correlation analysis of key indexes, technical support is provided for reliable operation of the distribution transformer, and risk early warning is provided for fault occurrence of the distribution transformer.
Factors causing the fault of the distribution transformer include insulation moisture, iron core fault, current loop overheating, winding fault, partial discharge, oil flow discharge, arc discharge, insulation degradation and insulation paper degradation, and parameters affecting the insulation state of the distribution transformer include insulation paper dielectric loss, water content in oil, oil breakdown voltage, insulation resistance absorption ratio, polarization index, volume resistivity, H2 content, iron core insulation resistance and the like. The differential operation and maintenance of the distribution transformer needs overall evaluation, the state evaluation relates to ledger information, routing inspection information, live detection and online monitoring data, offline test data and the like, the data volume is large, the influence mechanism is different, the conventional evaluation method focuses on research of certain layers or indexes, and the requirements of multi-dimensional and large data cannot be met. By adopting a big data technology, the state change of the main equipment can be comprehensively reflected, and the characteristics and key parameters of the main equipment can be determined. The method comprises the steps of establishing a database of distribution network main equipment such as a transformer, a breaker, a lightning arrester, a capacitor and the like by using static data such as factory test data, defect and accident records, regular and irregular test data and dynamic data such as online detection data and real-time operation information of the equipment, including real-time operation information such as voltage, current and power, fault information such as short-circuit fault, lightning trip and familial defect, inspection information such as infrared temperature measurement, sealing and pollution, state data such as power failure detection information such as direct current resistance, insulation resistance, oil chromatography and dielectric loss, researching a main equipment state feature evaluation method by adopting a big data technology, clarifying an association relation between the main equipment state and hydrolysis and pyrolysis, and extracting the main equipment state feature by adopting a fuzzy C-means clustering analysis method.
Oil dielectric loss, oil water content, oil gas content, oil breakdown voltage, oil volume resistivity, oil conductivity, oil acid value, oil breakdown voltage, total oil acid value, furfural content in oil, oil color and the like related to insulation paper, paper dielectric loss, paper water content, paper breakdown voltage, paper conductivity, paper acid value, paper polymerization degree, paper total acid value, paper furfural content, paper color and the like related to insulation paper, H2 content, C2H2 content, C2H6 content, C2H4 content, CH4 content, CO relative gas production rate, CO2 relative gas production rate, total hydrocarbon and the like related to gas, iron core related parameter data such as iron core insulation resistance, iron core grounding current and the like, winding direct current resistance, insulation resistance absorption ratio, winding resistance and unbalance rate thereof, winding short circuit resistance initial value difference, winding insulation dielectric loss, winding initial capacitance difference and the like related to winding, the fault of the distribution transformer is an accident or event of random and fuzzy uncertainty, and the factors are parameters of random and fuzzy uncertainty. These influencing factors are typically random or fuzzy uncertainty, or both random and fuzzy uncertainty, often present as random and fuzzy uncertainty events or quantities. Therefore, the uncertainty and randomness of the influence factors are not considered comprehensively in the prior art of traditional distribution transformer insulation state evaluation, and the applicability, the practicability and the applicability of the calculation method are difficult to meet.
Disclosure of Invention
The invention provides a transformer insulating oil degradation evaluation method based on a three-dimensional trapezoidal probability fuzzy set, aiming at solving the defects of the prior art. Aiming at how to process the problems of large data with multiple types, large quantity and complex interrelation related to the evaluation of the degradation state of the insulating oil of the distribution transformer, the knowledge mining and reasoning principle is adopted to process and analyze the large data on the basis of establishing a large database; and aiming at random and fuzzy uncertainty parameters related to the evaluation of the degradation state of the insulating oil of the distribution transformer, processing and analyzing by adopting a theory of a three-dimensional trapezoidal probability fuzzy set, and further accurately evaluating the degradation state of the insulating oil of the transformer.
The basic principle of the transformer insulating oil degradation evaluation based on the three-dimensional trapezoidal probability fuzzy set is as follows; by utilizing multi-source data of delivery, monitoring, testing, routing inspection, operation, metering, automation and the like, establishing a large database of parameters related to insulating oil, insulating paper, an iron core and a winding, establishing a large database of parameters related to gas, capacitance, temperature and partial discharge in the oil, establishing a large database of weather such as temperature, wind power, humidity, precipitation and the like, and establishing an operation database of current, voltage, power, load rate and the like of a distribution transformer; carrying out three-dimensional trapezoidal fuzzy modeling on parameters which have random uncertainty or fuzzy uncertainty and cause the deterioration of transformer insulating oil by adopting a fuzzy set theory; the method comprises the steps of constructing a three-dimensional trapezoidal fuzzy set of transformer insulating oil degradation characteristics by utilizing mass data of results related to a transformer insulating oil degradation evaluation method in a public document; constructing a three-dimensional trapezoidal fuzzy set of the transformer insulating oil degradation test by using mass data of the transformer insulating oil degradation test; and constructing a similarity function between the three-dimensional trapezoidal fuzzy sets of the test class data and the feature class data of the transformer, and calculating a comprehensive attribute value between a random uncertainty or fuzzy uncertainty parameter and the degradation state of the insulating oil of the distribution transformer so as to determine the degradation state of the insulating oil of the distribution transformer.
The technical scheme of the invention is as follows: a transformer insulating oil degradation assessment method based on a three-dimensional trapezoidal probability fuzzy set comprises the following steps:
s1: fuzzification processing of the degradation characteristic data of the insulating oil and construction of a membership function;
s2: constructing a three-dimensional trapezoidal fuzzy set of the degradation characteristic class of the insulating oil;
s3: fuzzification processing of insulating oil test data and construction of membership functions;
s4: constructing a three-dimensional trapezoidal fuzzy set of insulating oil tests;
s5: constructing a similarity function between the test class and the feature class probability fuzzy set;
s6: and (5) evaluating the degradation state of the transformer insulating oil.
Further, the step S1 is to perform fuzzification processing on the degradation characteristic data of the insulating oil and construct a membership function:
the oil degradation characteristic class describes the combination of characteristic values of a plurality of characteristic parameters when the insulating oil of the distribution transformer enters a degradation state, the parameters and the characteristic values related to the evaluation of the degradation state of the insulating oil of the distribution transformer are collected from published documents (journal articles, academic papers and the like), and the degradation characteristic class S of the insulating oil of the distribution transformer is constructed1、S2、...、Wherein N isSNumber of insulating oil degradation feature classes for distribution transformers, oil degradation feature class S1、S2、...、Has different characteristic spaces, such as oil medium loss, water content in oil, gas content in oil, oil breakdown voltage, oil volume resistivity, oil conductivity, acid value in oil, oil breakdown voltage, total acid value of oil, furfural content in oil, oil color, paper medium loss, water content in paper, paper breakdown voltage, paper conductivity, acid value in paper, paper polymerization degree, total acid value of paper, furfural content in paper, paper color, H2Content, C2H2Content, C2H6Content, C2H4Content, CH4Content, relative gas production rate of CO, CO2Relative gas production rate, total hydrocarbons, core insulation resistance, core ground current, winding direct current resistance, insulation resistance absorption ratio, winding direct current resistance and unbalance rate thereof, initial value difference of winding short-circuit impedance, winding insulation dielectric loss, initial value difference of winding capacitance, high-voltage side A-phase capacitance value, high-voltage side B-phase capacitance value, high-voltage side C-phase capacitance value, low-voltage side A-phase capacitance value, low-voltage side B-phase capacitance value, low-voltage side C-phase capacitance value, hot spot temperature at typical load, hot spot temperature at high load, oil temperature, and partial discharge quantity, assuming that m (m is 1,2,3,. N, N) is a combination of 47 characteristic parametersS) Individual oil degradation characteristic class SmContaining N (1, 2, 3.., N)Sm) Individual characteristic variables, characteristic data sets x of individual characteristic variablesSmn. The mth oil degradation characteristic class S can be obtained through big data processingmData set x ofSmComprises the following steps:
mth oil degradation characteristic class SmCharacteristic data set x of the n-th characteristic quantity of (1)SmnCan be expressed as:
in the formula NSmnIs the m-th oil degradation characteristic class SmCharacteristic data set x of the n-th characteristic quantity of (1)SmnNumber of data, for different parameters NSmnThere will be a different number of values,
assuming that there are 9 fuzzy uncertainties representing the distribution transformer oil degradation characteristic levels of extremely low, very low, medium, high, very high, the mathematical expression is:
ASmn={ASmn1,ASmn2,ASmn3,ASmn4,ASmn5,ASmn6,ASmn7,ASmn8,ASmn9}
in the formula ASmn1、ASmn2、ASmn3、ASmn4、ASmn5、ASmn6、ASmn7、ASmn8、ASmn9Or ASmni(i 1, 2.., 9.) respectively represent the characteristic levels of extremely low, very low, medium, high, very high and extremely high degradation of distribution transformer oil, and have membership functions of fuzzy sets of three-dimensional trapezoidal distribution characteristicsComprises the following steps:
in the formulaA characteristic membership function having a three-dimensional trapezoidal distribution characteristic for a distribution transformer oil degradation level i (i 1, 2.., 9),the characteristic coefficients of characteristic membership functions of oil degradation levels i (i ═ 1, 2.. multidot.9) with three-dimensional trapezoidal distribution characteristics are respectively, and x is the mth oil degradation characteristic class SmCharacteristic data set x of the n-th characteristic quantity of (1)SmnFor the mth oil degradation characteristic class SmCharacteristic data set x of the n-th characteristic quantity of (1)SmnLower, middle and upper bound characteristic membership functions of a three-dimensional trapezoidal fuzzy set of distribution transformer oil degradation levels i (i ═ 1, 2.., 9)Respectively as follows:
further, the step S2 is to construct a three-dimensional trapezoidal fuzzy set process of the insulating oil degradation characteristic class as follows;
construction of mth distribution transformer oil degradation characteristic class SmThe degradation level i (i ═ 1, 2.., 9) of the nth characteristic parameter of (a):
(m=1,2,3,...,NS,n=1,2,3,...,NSm)
in the formulaFor mth distribution transformer oil degradation characteristic class SmThe degradation level i (i ═ 1, 2.., 9) of the nth characteristic parameter of (a).
Further, the fuzzification processing of the insulating oil test data and the construction process of the membership function in the step S3 are as follows;
the oil test data is data obtained from the test, and the insulating oil test class T of the distribution transformer is constructed according to the oil test data1、T2、...、Wherein N isTThe number of insulating oil degradation test classes for the distribution transformer. Oil deterioration test type T1、T2、...、Has different characteristic spaces, such as oil medium loss, water content in oil, gas content in oil, oil breakdown voltage, oil volume resistivity, oil conductivity, acid value in oil, oil breakdown voltage, total acid value of oil, furfural content in oil, oil color, paper medium loss, water content in paper, paper breakdown voltage, paper conductivity, acid value in paper, paper polymerization degree, total acid value of paper, furfural content in paper, paper color, H2Content, C2H2Content, C2H6Content, C2H4Content, CH4Content, relative gas production rate of CO, CO2Relative gas production rate, total hydrocarbons, core insulation resistance, core ground current, winding direct current resistance, insulation resistance absorption ratio, winding direct current resistance and unbalance rate thereof, initial value difference of winding short-circuit impedance, winding insulation dielectric loss, initial value difference of winding capacitance, high-voltage side A-phase capacitance value, high-voltage side B-phase capacitance value, high-voltage side C-phase capacitance value, low-voltage side A-phase capacitance value, low-voltage side B-phase capacitance value, low-voltage side C-phase capacitance value, hot spot temperature at typical load, hot spot temperature at high load, oil temperature, and partial discharge quantity, assuming that m (m is 1,2,3,. N, N) is a combination of 47 characteristic parametersT) AnOil test class TmContaining N (1, 2, 3.., N)Tm) Individual characteristic variables, characteristic data sets x of individual characteristic variablesTmnThe mth oil test class T can be obtained through big data processingmData set x ofTmComprises the following steps:
mth oil test class TmCharacteristic data set x of the n-th characteristic quantity of (1)TmnCan be expressed as:
in the formula NTmnFor the m oil test class TmCharacteristic data set x of the n-th characteristic quantity of (1)SmnNumber of data, for different parameters NTmnThere will be different values for the m-th oil test class TmCharacteristic data set x of the n-th characteristic quantity of (1)TmnConstructing membership function k of lower bound, middle bound and upper bound of three-dimensional trapezoidal fuzzy set for distribution transformer oil testSLmnk(x)、kSMmnk(x)、kSUmnk(x) Respectively as follows:
further, the step S4 is to construct a three-dimensional trapezoidal fuzzy set of the insulating oil test class as follows;
construction of mth distribution transformer oil test type TmThe three-dimensional trapezoidal fuzzy set of the nth characteristic parameter:
Tmn={TSLmn,TSMmn,TSUmn}
={(aTLmn,bTLmn,cTLmn,dTLmn;kTLmn),(aTMmn,bTMmn,cTMmn,dTMmn;kTMmn),
(aTUmn,bTUmn,cTUmn,dTUmn;kTUmn)}
(m=1,2,3,...,NT,n=1,2,3,...,NTm)
in the formula TmnIs a three-dimensional trapezoidal fuzzy set of the nth characteristic parameter of the mth oil test class.
Further, the process of constructing the similarity function between the test class and the feature class probability fuzzy set in step S5 is as follows;
using oil degradation characteristics class S1、S2、...、And insulating oil test type T1、T2、...、The probability fuzzy set of the distribution transformer is constructed, and the three-dimensional trapezoidal fuzzy set of the kth characteristic parameter and the mth characteristic class S of the jth oil test class of the distribution transformer are constructedmThe degradation level i (i ═ 1, 2.., 9) of the nth characteristic parameter of (a) is determined as follows:
(m=1,2,3,...,NS,n=1,2,3,...,NSm,j=1,2,3,...,NT,k=1,2,3,...,NTm) Wherein the kth characteristic parameter of the jth oil test class has a lower bound, a middle bound and an upper bound three-dimensional trapezoidal fuzzy set and the mth characteristic class SmThe similarity functions of the lower-bound, middle-bound, and upper-bound three-dimensional trapezoidal fuzzy sets of the n-th characteristic parameter i (i ═ 1, 2.·,9) are respectively:
further, step S6 performs a transformer insulating oil degradation state evaluation process as follows;
total similarity between degradation levels i of distribution transformer oil test class and oil degradation feature class
Average similarity between degradation levels i of distribution transformer oil test class and oil degradation feature class
When in useHigher than(e.g., 0.95, etc.), it is determined that the transformer insulating oil has been in a state of a degradation level i (i ═ 1, 2.., 9), i.e., nine degradation states: extremely low, very low, medium, high, very high.
The invention has the beneficial effects that: the transformer insulating oil degradation evaluation method based on the three-dimensional trapezoidal probability fuzzy set can evaluate the degradation state of the insulating oil of the distribution transformer, reflects that a series of characteristic values of the distribution transformer insulating oil degradation state evaluation formed in the open literature have fuzzy and random uncertainties, provides theoretical guidance for the evaluation of the degradation state of the insulating oil of the distribution transformer, and provides necessary technical support for operation and maintenance of a power distribution network.
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Fig. 1 is a flow chart of a transformer insulating oil degradation evaluation method based on a three-dimensional trapezoidal probability fuzzy set, which is provided by the invention.
Detailed Description
The drawings are for illustrative purposes only and are not to be construed as limiting the patent; for the purpose of better illustrating the embodiments, certain features of the drawings may be omitted, enlarged or reduced, and do not represent the size of an actual product; it will be understood by those skilled in the art that certain well-known structures in the drawings and descriptions thereof may be omitted. The positional relationships depicted in the drawings are for illustrative purposes only and are not to be construed as limiting the present patent.
Example 1:
step 1 in fig. 1 describes a process and a method for fuzzification processing of transformer insulating oil degradation characteristic class data and construction of a membership function. The transformer insulating oil degradation characteristic class describes the combination of a plurality of characteristic parameter characteristic values when the insulating oil of the distribution transformer enters a degradation state. Collecting parameters and characteristic values thereof related to the evaluation of the degradation state of the insulating oil of the distribution transformer from published documents (journal articles, academic papers and the like), and constructing a degradation characteristic class S of the insulating oil of the distribution transformer1、S2、...、Wherein N isSNumber of insulating oil degradation feature classes for distribution transformers. Oil degradation characteristic class S1、S2、...、Has different characteristic spaces, such as oil dielectric loss, water content in oil, gas content in oil, oil breakdown voltage and oil volumeResistivity, oil conductivity, acid value in oil, oil breakdown voltage, total acid value of oil, amount of furfural in oil, oil color, paper dielectric loss, water content in paper, paper breakdown voltage, paper conductivity, acid value in paper, degree of polymerization of paper, total acid value of paper, amount of furfural in paper, paper color, H2Content, C2H2Content, C2H6Content, C2H4Content, CH4Content, relative gas production rate of CO, CO2The combination of 47 characteristic parameters such as relative gas production rate, total hydrocarbon, iron core insulation resistance, iron core grounding current, winding direct current resistance, insulation resistance absorption ratio, winding direct current resistance and unbalance rate thereof, winding short-circuit impedance initial value difference, winding insulation dielectric loss, winding capacitance initial value difference, high-voltage side A phase capacitance value, high-voltage side B phase capacitance value, high-voltage side C phase capacitance value, low-voltage side A phase capacitance value, low-voltage side B phase capacitance value, low-voltage side C phase capacitance value, typical load hot spot temperature, high load hot spot temperature, oil temperature, partial discharge quantity and the like. Let m (m ═ 1,2, 3.., N)S) Individual oil degradation characteristic class SmContaining N (1, 2, 3.., N)Sm) Individual characteristic variables, characteristic data sets x of individual characteristic variablesSmn. The mth oil degradation characteristic class S can be obtained through big data processingmData set x ofSmComprises the following steps:
mth oil degradation characteristic class SmCharacteristic data set x of the n-th characteristic quantity of (1)SmnCan be expressed as:
in the formula NSmnIs the m-th oil degradation characteristic class SmCharacteristic data set x of the n-th characteristic quantity of (1)SmnNumber of data, for different parameters NSmnThere will be different values.
Assuming that there are 9 fuzzy uncertainties representing the distribution transformer oil degradation characteristic levels of extremely low, very low, medium, high, very high, the mathematical expression is:
ASmn={ASmn1,ASmn2,ASmn3,ASmn4,ASmn5,ASmn6,ASmn7,ASmn8,ASmn9}
in the formula ASmn1、ASmn2、ASmn3、ASmn4、ASmn5、ASmn6、ASmn7、ASmn8、ASmn9Or ASmni(i 1, 2.., 9.) respectively represent the characteristic levels of extremely low, very low, medium, high, very high and extremely high degradation of distribution transformer oil, and have membership functions of fuzzy sets of three-dimensional trapezoidal distribution characteristicsComprises the following steps:
in the formulaA characteristic membership function having a three-dimensional trapezoidal distribution characteristic for a distribution transformer oil degradation level i (i 1, 2.., 9),the characteristic coefficients of characteristic membership functions of oil degradation levels i (i ═ 1, 2.. multidot.9) with three-dimensional trapezoidal distribution characteristics are respectively, and x is the mth oil degradation characteristic class SmCharacteristic data set x of the n-th characteristic quantity of (1)SmnThe data of (1).
For the mth oil degradation characteristic class SmCharacteristic data set x of the n-th characteristic quantity of (1)SmnLower, middle and upper bound characteristic membership functions of a three-dimensional trapezoidal fuzzy set of distribution transformer oil degradation levels i (i ═ 1, 2.., 9)Respectively as follows:
step 2 in fig. 1 describes a process and method of constructing a three-dimensional trapezoidal fuzzy set of transformer insulating oil degradation feature classes. Construction of mth distribution transformer oil degradation characteristic class SmThe degradation level i (i ═ 1, 2.., 9) of the nth characteristic parameter of (a):
(m=1,2,3,...,NS,n=1,2,3,...,NSm)
in the formulaFor mth distribution transformer oil degradation characteristic class SmThe degradation level i (i ═ 1, 2.., 9) of the nth characteristic parameter of (a).
Step 3 in fig. 1 describes the process and method of fuzzification processing of transformer insulating oil test data and the construction of membership function. Oil test data is the data obtained from the test. Aiming at oil test data, a distribution transformer insulating oil test type T is constructed1、T2、...、Wherein N isTThe number of insulating oil degradation test classes for the distribution transformer. Oil deterioration test type T1、T2、...、Has different characteristic spaces, such as oil medium loss, water content in oil, gas content in oil, oil breakdown voltage, oil volume resistivity, oil conductivity, acid value in oil, oil breakdown voltage, total acid value of oil, furfural content in oil, oil color, paper medium loss, water content in paper, paper breakdown voltage, paper conductivity, acid value in paper, paper polymerization degree, total acid value of paper, furfural content in paper, paper color, H2Content, C2H2Content, C2H6Content, C2H4Content, CH4Content, relative gas production rate of CO, CO2The combination of 47 characteristic parameters such as relative gas production rate, total hydrocarbon, iron core insulation resistance, iron core grounding current, winding direct current resistance, insulation resistance absorption ratio, winding direct current resistance and unbalance rate thereof, winding short-circuit impedance initial value difference, winding insulation dielectric loss, winding capacitance initial value difference, high-voltage side A phase capacitance value, high-voltage side B phase capacitance value, high-voltage side C phase capacitance value, low-voltage side A phase capacitance value, low-voltage side B phase capacitance value, low-voltage side C phase capacitance value, typical load hot spot temperature, high load hot spot temperature, oil temperature, partial discharge quantity and the like. Let m (m ═ 1,2, 3.., N)T) Individual oil test class TmContaining N (1, 2, 3.., N)Tm) Individual characteristic variables, characteristic data sets x of individual characteristic variablesTmn. The mth oil test class T can be obtained through big data processingmData set x ofTmComprises the following steps:
xTm=[xTm1,xTm2,...,xTmNTm]
mth oil test class TmCharacteristic data set x of the n-th characteristic quantity of (1)TmnCan be expressed as:
in the formula NTmnFor the m oil test class TmCharacteristic data set x of the n-th characteristic quantity of (1)SmnNumber of data, for different parameters NTmnThere will be different values.
For the m oil test class TmCharacteristic data set x of the n-th characteristic quantity of (1)TmnConstructing membership function k of lower bound, middle bound and upper bound of three-dimensional trapezoidal fuzzy set for distribution transformer oil testSLmnk(x)、kSMmnk(x)、kSUmnk(x) Respectively as follows:
step 4 in fig. 1 describes the process and method of constructing a three-dimensional trapezoidal fuzzy set of transformer insulating oil test classes. Construction of mth distribution transformer oil test type TmThe three-dimensional trapezoidal fuzzy set of the nth characteristic parameter:
Tmn={TSLmn,TSMmn,TSUmn}
={(aTLmn,bTLmn,cTLmn,dTLmn;kTLmn),(aTMmn,bTMmn,cTMmn,dTMmn;kTMmn),
(aTUmn,bTUmn,cTUmn,dTUmn;kTUmn)}
(m=1,2,3,...,NT,n=1,2,3,...,NTm)
in the formula TmnIs a three-dimensional trapezoidal fuzzy set of the nth characteristic parameter of the mth oil test class.
Step 5 in fig. 1 describes the process and method of constructing the similarity function between the trial class and the feature class probabilistic fuzzy set. Using oil degradation characteristics class S1、S2、...、And insulating oil test type T1、T2、...、The probability fuzzy set of the distribution transformer is constructed, and the three-dimensional trapezoidal fuzzy set of the kth characteristic parameter and the mth characteristic class S of the jth oil test class of the distribution transformer are constructedmThe degradation level i (i ═ 1, 2.., 9) of the nth characteristic parameter of (a) is determined as follows:
(m=1,2,3,...,NS,n=1,2,3,...,NSm,j=1,2,3,...,NT,
k=1,2,3,...,NTm)
wherein the kth characteristic parameter of the jth oil test class has a lower bound, a middle bound and an upper bound three-dimensional trapezoidal fuzzy set and the mth characteristic class SmThe similarity functions of the lower-bound, middle-bound, and upper-bound three-dimensional trapezoidal fuzzy sets of the n-th characteristic parameter i (i ═ 1, 2.·,9) are respectively:
step 6 in fig. 1 describes the process and method of transformer insulating oil degradation state evaluation. Total similarity between degradation levels i of distribution transformer oil test class and oil degradation feature class
Average similarity between degradation levels i of distribution transformer oil test class and oil degradation feature class
When in useHigher than(e.g., 0.95, etc.), it is determined that the transformer insulating oil has been in a state of a degradation level i (i ═ 1, 2.., 9), i.e., nine degradation states: extremely low, very low, medium, high, very high.
It should be understood that the above-described embodiments of the present invention are merely examples for clearly illustrating the present invention, and are not intended to limit the embodiments of the present invention. Other variations and modifications will be apparent to persons skilled in the art in light of the above description. And are neither required nor exhaustive of all embodiments. Any modification, equivalent replacement, and improvement made within the spirit and principle of the present invention should be included in the protection scope of the claims of the present invention.
Claims (7)
1. A transformer insulating oil degradation assessment method based on a three-dimensional trapezoidal probability fuzzy set is characterized by comprising the following steps:
s1: fuzzification processing of the degradation characteristic data of the insulating oil and construction of a membership function;
s2: constructing a three-dimensional trapezoidal fuzzy set of the degradation characteristic class of the insulating oil;
s3: fuzzification processing of insulating oil test data and construction of membership functions;
s4: constructing a three-dimensional trapezoidal fuzzy set of insulating oil tests;
s5: constructing a similarity function between the test class and the feature class probability fuzzy set;
s6: and (5) evaluating the degradation state of the transformer insulating oil.
2. The method for evaluating the degradation of the insulating oil of the transformer based on the three-dimensional trapezoidal probability fuzzy set as claimed in claim 1, wherein the step S1 comprises the steps of fuzzification processing of the degradation characteristic class data of the insulating oil and construction of the membership function:
the oil degradation characteristic class describes the combination of a plurality of characteristic parameter characteristic values when the insulating oil of the distribution transformer enters a degradation state, the parameters and the characteristic values related to the evaluation of the degradation state of the insulating oil of the distribution transformer are collected from published documents, and the degradation characteristic class of the insulating oil of the distribution transformer is constructedWherein N isSNumber of insulating oil degradation feature classes for distribution transformers, oil degradation feature classesHas different characteristic spaces, such as oil medium loss, water content in oil, gas content in oil, oil breakdown voltage, oil volume resistivity, oil conductivity, acid value in oil, oil breakdown voltage, total acid value of oil, furfural content in oil, oil color, paper medium loss, water content in paper, paper breakdown voltage, paper conductivity, acid value in paper, paper polymerization degree, total acid value of paper, furfural content in paper, paper color, H2Content, C2H2Content, C2H6Content, C2H4Content, CH4Content, relative gas production rate of CO, CO2Relative gas production rate, total hydrocarbon, core insulation resistance, core ground current, winding direct current resistance, insulation resistance absorption ratio, winding direct current resistance and unbalance rate, initial value difference of winding short-circuit impedance, winding insulation dielectric loss, initial value difference of winding capacitance, high-voltage side A phase capacitance value, high-voltage side B phase capacitance value, high-voltage side C phase capacitance value, low-voltage side C phase capacitance valueAssuming a combination of 47 characteristic parameters in total, i.e., an a-phase capacitance value, a low-side B-phase capacitance value, a low-side C-phase capacitance value, a typical load hot spot temperature, a high load hot spot temperature, an oil temperature, and the number of partial discharges, an m-th (m ═ 1,2,3S) Individual oil degradation characteristic class SmContaining N (1, 2, 3.., N)Sm) Individual characteristic variables, characteristic data sets x of individual characteristic variablesSmnThe mth oil degradation characteristic class S can be obtained through big data processingmData set x ofSmComprises the following steps:
mth oil degradation characteristic class SmCharacteristic data set x of the n-th characteristic quantity of (1)SmnCan be expressed as:
in the formula NSmnIs the m-th oil degradation characteristic class SmCharacteristic data set x of the n-th characteristic quantity of (1)SmnNumber of data, for different parameters NSmnThere will be a different number of values,
assuming that there are 9 fuzzy uncertainties representing the distribution transformer oil degradation characteristic levels of extremely low, very low, medium, high, very high, the mathematical expression is:
ASmn={ASmn1,ASmn2,ASmn3,ASmn4,ASmn5,ASmn6,ASmn7,ASmn8,ASmn9}
in the formula ASmn1、ASmn2、ASmn3、ASmn4、ASmn5、ASmn6、ASmn7、ASmn8、ASmn9Or ASmni(i 1, 2.., 9.) respectively represent the characteristic levels of extremely low, very low, medium, high, very high and extremely high degradation of distribution transformer oil, and have membership functions of fuzzy sets of three-dimensional trapezoidal distribution characteristicsComprises the following steps:
in the formulaA characteristic membership function having a three-dimensional trapezoidal distribution characteristic for a distribution transformer oil degradation level i (i 1, 2.., 9),the characteristic coefficients of characteristic membership functions of oil degradation levels i (i ═ 1, 2.. multidot.9) with three-dimensional trapezoidal distribution characteristics are respectively, and x is the mth oil degradation characteristic class SmCharacteristic data set x of the n-th characteristic quantity of (1)SmnFor the mth oil degradation characteristic class SmCharacteristic data set x of the n-th characteristic quantity of (1)SmnLower, middle and upper bound characteristic membership functions of a three-dimensional trapezoidal fuzzy set of distribution transformer oil degradation levels i (i ═ 1, 2.., 9) Respectively as follows:
3. the method for evaluating the deterioration of the transformer insulating oil based on the three-dimensional trapezoidal probability fuzzy set of claim 2, wherein the step S2 is to construct the three-dimensional trapezoidal fuzzy set of the insulating oil deterioration characteristic class as follows;
construction of mth distribution transformer oil degradation characteristic class SmThe degradation level i (i ═ 1, 2.., 9) of the nth characteristic parameter of (a):
4. The method for evaluating the degradation of the transformer insulating oil based on the three-dimensional trapezoidal probability fuzzy set as claimed in claim 3, wherein the fuzzification processing of the insulating oil test data and the construction process of the membership function in step S3 are as follows;
the oil test data is data obtained from the test, and the insulating oil test class of the distribution transformer is constructed according to the oil test dataWherein N isTNumber of insulating oil degradation test classes for distribution transformers, oil degradation test classesHas different characteristic spaces, such as oil dielectric loss, water content in oil, gas content in oil, oil breakdown voltage, oil volume resistivity, oil conductivity, acid value in oil, oil breakdown voltage, total acid value of oil, furfural content in oil, oil color, paper dielectric loss, water content in paper, paper breakdown voltage, paper dielectric loss, paper,Paper conductivity, acid value in paper, paper polymerization degree, total acid value of paper, amount of furfural in paper, paper color and H2Content, C2H2Content, C2H6Content, C2H4Content, CH4Content, relative gas production rate of CO, CO2Relative gas production rate, total hydrocarbons, core insulation resistance, core ground current, winding direct current resistance, insulation resistance absorption ratio, winding direct current resistance and unbalance rate thereof, initial value difference of winding short-circuit impedance, winding insulation dielectric loss, initial value difference of winding capacitance, high-voltage side A-phase capacitance value, high-voltage side B-phase capacitance value, high-voltage side C-phase capacitance value, low-voltage side A-phase capacitance value, low-voltage side B-phase capacitance value, low-voltage side C-phase capacitance value, hot spot temperature at typical load, hot spot temperature at high load, oil temperature, and partial discharge quantity, assuming that m (m is 1,2,3,. N, N) is a combination of 47 characteristic parametersT) Individual oil test class TmContaining N (1, 2, 3.., N)Tm) Individual characteristic variables, characteristic data sets x of individual characteristic variablesTmnThe mth oil test class T can be obtained through big data processingmData set x ofTmComprises the following steps:
mth oil test class TmCharacteristic data set x of the n-th characteristic quantity of (1)TmnCan be expressed as:
in the formula NTmnFor the m oil test class TmCharacteristic data set x of the n-th characteristic quantity of (1)SmnNumber of data, for different parameters NTmnThere will be different values for the m-th oil test class TmCharacteristic data set x of the n-th characteristic quantity of (1)TmnConstructing membership function k of lower bound, middle bound and upper bound of three-dimensional trapezoidal fuzzy set for distribution transformer oil testSLmnk(x)、kSMmnk(x)、kSUmnk(x) Respectively as follows:
5. the method for evaluating the deterioration of the transformer insulating oil based on the three-dimensional trapezoidal probability fuzzy set of claim 4, wherein the step S4 is to construct the three-dimensional trapezoidal fuzzy set of the insulating oil test class as follows;
construction of mth distribution transformer oil test type TmThe three-dimensional trapezoidal fuzzy set of the nth characteristic parameter:
Tmn={TSLmn,TSMmn,TSUmn}
={(aTLmn,bTLmn,cTLmn,dTLmn;kTLmn),(aTMmn,bTMmn,cTMmn,dTMmn;kTMmn),(aTUmn,bTUmn,cTUmn,dTUmn;kTUmn)}
(m=1,2,3,...,NT,n=1,2,3,...,NTm)
in the formula TmnIs a three-dimensional trapezoidal fuzzy set of the nth characteristic parameter of the mth oil test class.
6. The method for evaluating the deterioration of the transformer insulating oil based on the three-dimensional trapezoidal probability fuzzy set of claim 5, wherein the step S5 is to construct a similarity function between the test class probability fuzzy set and the feature class probability fuzzy set as follows;
using oil degradation characteristicsAnd insulating oil test class The probability fuzzy set of the distribution transformer is constructed, and the three-dimensional trapezoidal fuzzy set of the kth characteristic parameter and the mth characteristic class S of the jth oil test class of the distribution transformer are constructedmThe degradation level i (i ═ 1, 2.., 9) of the nth characteristic parameter of (a) is determined as follows:
wherein the kth characteristic parameter of the jth oil test class has a lower bound, a middle bound and an upper bound three-dimensional trapezoidal fuzzy set and the mth characteristic class SmThe similarity functions of the lower-bound, middle-bound, and upper-bound three-dimensional trapezoidal fuzzy sets of the n-th characteristic parameter i (i ═ 1, 2.·,9) are respectively:
7. the method for evaluating the deterioration of the transformer insulating oil based on the three-dimensional trapezoidal probability fuzzy set as claimed in claim 6, wherein the step S6 is performed as follows;
total similarity between degradation levels i of distribution transformer oil test class and oil degradation feature class
Average similarity between degradation levels i of distribution transformer oil test class and oil degradation feature class
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Effective date of registration: 20210315 Address after: No. 757, Dongfeng East Road, Yuexiu District, Guangzhou, Guangdong 517000 Patentee after: GUANGDONG POWER GRID Co. Patentee after: HEYUAN POWER SUPPLY BUREAU, GUANGDONG POWER GRID Co.,Ltd. Address before: No.19 Heyuan Avenue North, Heyuan City, Guangdong Province 517001 Patentee before: HEYUAN POWER SUPPLY BUREAU, GUANGDONG POWER GRID Co.,Ltd. Patentee before: GUANGDONG University OF TECHNOLOGY |