CN112712256A - Method for evaluating overhaul sequence of low-voltage distribution network equipment - Google Patents

Method for evaluating overhaul sequence of low-voltage distribution network equipment Download PDF

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CN112712256A
CN112712256A CN202011603503.XA CN202011603503A CN112712256A CN 112712256 A CN112712256 A CN 112712256A CN 202011603503 A CN202011603503 A CN 202011603503A CN 112712256 A CN112712256 A CN 112712256A
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index
weight
sequence
distribution network
voltage distribution
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江霖
曹安瑛
万新宇
陈卓航
李爱平
李文晖
裴星宇
刘尧
黄培专
付博
侯成
郑卫文
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Guangdong Power Grid Co Ltd
Zhuhai Power Supply Bureau of Guangdong Power Grid Co Ltd
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Guangdong Power Grid Co Ltd
Zhuhai Power Supply Bureau of Guangdong Power Grid Co Ltd
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    • G06Q10/0631—Resource planning, allocation, distributing or scheduling for enterprises or organisations
    • G06Q10/06316—Sequencing of tasks or work
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
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    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
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    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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    • G06Q10/063—Operations research, analysis or management
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    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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Abstract

The invention provides a method for evaluating the overhaul sequence of low-voltage distribution network equipment, which comprises the following steps of: s1, determining subjective weight of each index in the equipment index system based on the G1 method; s2, determining the actual objective weight of each index of the equipment index system based on the CRITIC method; s3, determining a combination weight by adopting an ideal point method according to the subjective weight and the actual objective weight; and S4, calculating the state evaluation value of each device according to the index data of each index in the device index system and the corresponding combined weight, sequencing all the obtained state evaluation values, and determining the overhaul sequence of each device. This embodiment is under the limited condition of maintenance resource, and the maintenance order of reasonable arrangement equipment avoids the impaired equipment of high degree to obtain in time repairing and scrap, the excessive emergence of overhauing the problem of the impaired equipment of low degree.

Description

Method for evaluating overhaul sequence of low-voltage distribution network equipment
Technical Field
The invention relates to the technical field of power grid operation and maintenance, in particular to a method for evaluating the overhaul sequence of low-voltage distribution network equipment.
Background
The 0.4kV low-voltage distribution network is used as a bridge for connecting a power supply company and users, has the characteristics of various types of access equipment, complex network topological structure and massive data, and is limited by construction cost and construction complexity on the basis of the characteristics, so that the intelligent automatic reconstruction of the 0.4kV low-voltage distribution network is difficult to develop for a long time and even neglected. In 0.4kV low-voltage distribution transformer areas in most areas, the data acquired by the distribution network still stays at the stage of only reflecting the power utilization information of users, the abnormal state of equipment cannot be reflected, the fault repair alarm is still mainly carried out by adopting a hot-wire telephone, and the problems of incomplete fault perception, unclear fault reason and long service response period exist for a long time. Due to the lack of comprehensive low-voltage distribution network perception network construction, an operation and maintenance department is difficult to acquire a clear running state of low-voltage distribution network equipment, so that the formulation of an inspection plan and an equipment maintenance plan is hindered, and the problems of unreasonable inspection and maintenance resource allocation and resource waste are caused.
One of the root reasons that the intelligent transformation of the 0.4kV low-voltage distribution network is difficult to realize is that the receiving equipment volume is large, the data volume is large, considerable data flow rate charges can be generated by adopting a mainstream centralized cloud platform framework, and huge high resource occupancy rate can be caused to a cloud platform. In recent years, the development of a distributed edge computing architecture provides a new idea for the intelligent transformation of a 0.4kV low-voltage distribution network, and the distributed edge computing architecture is different from the traditional centralized cloud platform architecture, sinks a service processing function to the near side of a user, can complete functions such as data acquisition, data processing, service analysis and the like on site, reduces time delay required in the process of uploading original data of the cloud platform, processing the service and transmitting the result, and improves instantaneity and reliability.
The low-voltage distribution network access equipment is various in types, large in quantity and high in probability of multi-equipment concurrent faults, so that available and reliable equipment maintenance sequence arrangement services need to be configured in the edge computing terminal, the abnormal operation state of the low-voltage distribution network equipment is effectively identified, the maintenance sequence of the equipment is reasonably arranged under the condition that maintenance resources are limited, and the problems that high-degree damaged equipment cannot be repaired in time and is scrapped and low-degree damaged equipment is overhauled excessively are avoided. Chinese patent CN107832971A discloses a grid index evaluation method based on SCADA and OMS systems; the real-time running state evaluation result is provided for the dispatching operator, so that the actual monitoring of the dispatching operator on the power grid is effectively improved; but it can not rationally arrange the maintenance order of equipment, leads to the impaired equipment of high degree to obtain in time repairing and scrap, and the impaired equipment of low degree overhauls the emergence of problem excessively, makes the maintenance efficiency of equipment not high.
Disclosure of Invention
The invention provides a method for evaluating the overhaul sequence of low-voltage distribution network equipment, aiming at solving the problems that high-degree damaged equipment cannot be repaired and scrapped in time and low-degree damaged equipment is overhauled excessively due to the fact that the overhaul sequence of the equipment cannot be reasonably arranged in the background technology. According to the invention, under the condition of limited overhaul resources, the overhaul sequence of the equipment is reasonably arranged, and the problems that the high-degree damaged equipment cannot be repaired in time and is scrapped and the low-degree damaged equipment is overhauled excessively are avoided.
In order to solve the technical problems, the invention adopts the technical scheme that: a low-voltage distribution network equipment maintenance sequence evaluation method comprises the following steps:
s1, determining subjective weight of each index in the equipment index system based on the G1 method;
s2, determining the actual objective weight of each index of the equipment index system based on the CRITIC method;
s3, determining a combination weight by adopting an ideal point method according to the subjective weight and the actual objective weight;
and S4, calculating the state evaluation value of each device according to the index data of each index in the device index system and the corresponding combined weight, sequencing all the obtained state evaluation values, and determining the overhaul sequence of each device.
Further, the step S1 includes:
s11, obtaining the importance ranking of each K experts to n indexes in the equipment index system;
s12, obtaining a relative importance sequence provided by each expert according to the importance sequence of the expert on n indexes in the equipment index system;
s13, calculating the subjective weight of the index with the lowest importance, combining the relative importance sequence to obtain a subjective weight descending sequence of all indexes, and reordering the subjective weight descending sequence according to a uniform index sequence to obtain a weight sequence of each expert;
s14, weighting the K subjective weights given by the K experts to obtain an actual subjective weight set of n indexes of the low-voltage distribution network equipment.
Further, step S11 is specifically that: taking J-th expert as an example, in a certain low-voltage distribution network equipment index systemWith a uniform ordering of indices of { x1,x2,……xnThe J-th expert selects the index x which is considered to be most importantpIs marked as xJ1Put the first place, then remove the index, select the most important index from the rest indexes, and mark as xJ2By analogy, the order relation of the J-th expert to the descending importance of the n indexes in the equipment index system can be obtained as follows:
xJ1＞xJ2＞L＞xJn
in the formula, xJnThe index is considered as the index with the lowest importance by J-th experts.
Further, the step S12 is specifically: j th expert provides xJ(i-1)And xJ(i)Is assigned a relative importance value rJi(i ═ 2,3 … … n); wherein r isJiThe larger the value of (A), the larger is xJ(i-1)Relative to xJ(i)The greater the degree of importance; obtaining a relative importance sequence { r ] according to the relative importance assignment of each index after the 2 nd indexJ2,rJ3,……rJn}。
Further, the step S13 is specifically: calculating the index x with the lowest importanceJnSubjective weight ω ofJn：
Figure BDA0002869894350000031
Obtaining the subjective weight decreasing sequence { omega ] of all indexesJ1,ωJ2,……ωJnReordering the subjective weight decreasing sequence according to a uniform index sequence to obtain a weight sequence of the J-th expert
Figure BDA0002869894350000032
Further, the step S14 is specifically: weighting K subjective weights given by K experts to obtain an actual subjective weight set W ═ omega of n indexes of the low-voltage distribution network equipment1,ω2…ωnAnd the calculation formula of the actual subjective weight of each index is as follows:
Figure BDA0002869894350000033
in the formula, alphaJIs the influence weight of the jth expert,
Figure BDA0002869894350000034
subjective weight, ω, given to the ith index by the J-th expertiAnd the weighted actual subjective weight of the ith index.
Further, the step S2 includes:
s21, for n indexes in a certain type of equipment index system, obtaining all index data of m equipment of the type to form an original data matrix A:
Figure BDA0002869894350000035
carrying out forward non-dimensionalization processing on each row of elements in the original data matrix A, namely mapping the values between [0 and 1] when the values are larger, wherein the efficiency index non-dimensionalization processing is calculated according to the following formula:
Figure BDA0002869894350000041
the cost index dimensionless processing calculation formula is as follows:
Figure BDA0002869894350000042
in the formula, bijShows the result of the non-dimensionalization processing of the j index data of the ith device,
Figure BDA0002869894350000043
and
Figure BDA0002869894350000044
the maximum value and the minimum value of the jth index are respectively;
from the result after the dimensionless process, the normalized matrix B is obtained as:
Figure BDA0002869894350000045
s22, calculating a coefficient of variation which represents the difference degree of the index information data, wherein the calculation formula is as follows:
Figure BDA0002869894350000046
in the formula (I), the compound is shown in the specification,
Figure BDA0002869894350000047
coefficient of variation, σ, of j-th indexjIs the standard deviation of the j-th index,
Figure BDA0002869894350000048
is the mean value of the j-th index, σjAnd
Figure BDA0002869894350000049
the calculation formulas of (A) are respectively as follows:
Figure BDA00028698943500000410
Figure BDA00028698943500000411
s23, calculating a correlation coefficient reflecting the correlation degree between the indexes, wherein the calculation formula is as follows:
Figure BDA00028698943500000412
in the formula (I), the compound is shown in the specification,
Figure BDA00028698943500000413
and
Figure BDA00028698943500000414
are the mean values, r, of the k-th and l-th indices in the normalization matrix B, respectivelyklA correlation coefficient representing the kth index and the l index;
and (3) solving a correlation coefficient matrix R according to the formula:
Figure BDA0002869894350000051
calculating an independent coefficient representing the independent degree among the indexes, wherein the calculation formula is as follows:
Figure BDA0002869894350000052
in the formula etajAn independent coefficient representing a j-th index;
the comprehensive coefficient of the information content of the reflected index is calculated as the product of the variation coefficient and the independent coefficient, and the calculation formula is as follows:
Figure BDA0002869894350000053
in the formula, gammajThe comprehensive coefficient of the jth index;
based on the integrated coefficients of the n indices, the actual objective weight set C ═ C can be determined1,c2,…cn}：
Figure BDA0002869894350000054
In the formula, cjIs the actual objective weight of the jth index.
Further, the S3 specifically includes:
according to the subjective weight and the actual objective weight, performing weight integration on each index by adopting an ideal point-based method to obtain a comprehensive weight, wherein the calculation formula is as follows:
Figure BDA0002869894350000055
in the formula, zjIs the composite weight of the jth index,
obtaining a comprehensive weight set Z ═ Z of each index in the equipment index system1,z2,…zn}。
Further, the S4 specifically includes:
s41, constructing a weighted normalization matrix: and multiplying the obtained comprehensive weight Z and the normalization matrix to obtain a weighted normalization matrix Y:
Figure BDA0002869894350000061
extracting the maximum value and the minimum value of each column in the weighted normalization matrix Y to form a positive ideal solution Y+And Y-Wherein Y is+＝(y1 +,y2 +,…,yn +)，Y-＝(y1 -,y2 -,…,yn -)；
S42, calculating weighted standardized data of each index of m similar low-voltage distribution network devices to Y+And Y-Euclidean distance of di +And di -(i＝1,2,…m)：
Figure BDA0002869894350000062
Figure BDA0002869894350000063
S43, calculating the jth evaluation of the ith device based on the weighted normalization matrix YGrey correlation coefficient t of valence index with respect to positive and negative ideal solutionsij +And tij -：
Figure BDA0002869894350000064
Figure BDA0002869894350000065
Wherein i is 1,2, … m; j is 1,2, … n;
solving the comprehensive grey correlation coefficient of the ith device and the positive and negative ideal solutions as follows:
Figure BDA0002869894350000066
Figure BDA0002869894350000067
s44, carrying out non-dimensionalization processing on the Euclidean distance and the grey correlation coefficient:
Figure BDA0002869894350000068
and (3) calculating the closeness of each device to the positive and negative ideal solutions by integrating the dimensionless Euclidean distance and the grey correlation coefficient, wherein the closeness is defined as the closeness, and the calculation formula of the closeness is as follows:
Figure BDA0002869894350000071
in the formula (I), the compound is shown in the specification,
Figure BDA0002869894350000072
indicating the closeness of the ith device to the ideal solution,
Figure BDA0002869894350000073
representing the closeness of the ith device to the negative ideal solution, c and v are weights of euclidean distance and gray correlation coefficients, c + v is 1, i is 1,2, … m;
s45, calculating the relative closeness of each device as follows:
Figure BDA0002869894350000074
wherein i is 1,2, … m;
Figure BDA0002869894350000075
representing the relative closeness of the ith device;
and finally, taking the reciprocal of the relative closeness of each device to be evaluated to obtain a state evaluation value, and sequencing the state evaluation values to obtain the maintenance arrangement sequence of each device.
Preferably, in S45, the state evaluation values are sorted according to a descending rule
Compared with the prior art, the beneficial effects are:
1. the method comprises the steps of constructing an evaluation index system of the multi-type low-voltage distribution network equipment, determining the weight value of each index of the low-voltage distribution network equipment by adopting an improved CRITIC-G1 method, and compared with a traditional combined weight method of an analytic hierarchy process and an entropy weight method, establishing a complex matrix and performing consistency test are not needed by adopting a G1 method, the modeling process is simple, the problems of data difference and relevance among indexes are comprehensively considered by adopting the improved CRITIC method, and the obtained objective weight is more reasonable.
2. The invention adopts TOPSIS method to evaluate the relative health status of the equipment, which is used for making the arrangement plan of the maintenance sequence of the equipment; on the basis of the traditional TOPSIS method, a grey correlation coefficient is introduced, more information of the correlation degree between the equipment state and the positive and negative ideal solution is provided, the problem of singleness of the goodness of Euclidean distance judgment solution is solved, and the obtained equipment state goodness and badness ordering is more reasonable.
Drawings
FIG. 1 is a schematic overall flow diagram of the present invention.
FIG. 2 shows the relative importance r of the present inventionkiAssignment reference scheme.
Fig. 3 is an evaluation index system of the low-voltage distribution network transformer in the invention.
Fig. 4 is an evaluation index system of the low-voltage distribution network switch cabinet.
Fig. 5 is an evaluation index system of a low-voltage distribution network feeder line in 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.
The embodiment provides a method for evaluating a low-voltage distribution network equipment overhaul sequence, which comprises the following steps of: s1, determining subjective weight of each index in the equipment index system based on the G1 method;
s2, determining the actual objective weight of each index of the equipment index system based on the CRITIC method;
s3, determining a combination weight by adopting an ideal point method according to the subjective weight and the actual objective weight;
and S4, calculating the state evaluation value of each device according to the index data of each index in the device index system and the corresponding combined weight, sequencing all the obtained state evaluation values, and determining the overhaul sequence of each device.
Specifically, the method comprises the following steps: s1, determining the subjective weight of the equipment index system based on the G1 method:
and S11, engaging K experts, judging the relative importance of the bottom layer indexes in the low-voltage distribution network equipment index system by the experts according to respective knowledge and experience, and sequencing the bottom layer indexes according to the descending order of the importance. Taking J-th expert as an example, the unified ordering of the bottom layer indexes in a certain low-voltage distribution network equipment index system is set as { x }1,x2,……xnThe J-th expert selects the index x which is considered to be most importantpIs marked as xJ1Put the first place, remove the index, select the most important index from the rest indexes, and mark as xJ2By analogy, the order relation of decreasing importance can be obtained:
xJ1＞xJ2＞L＞xJn (1)
s12, according to the obtained order relation (1), providing x by J-th expertJ(i-1)And xJ(i)Is assigned a relative importance value rJi(i＝2,3……n)，rJiThe assigned reference values of (a) are shown in fig. 2; the value of the method can be changed according to the actual situation, but the size relation is not changed.
S13, according to the relative importance sequence of the bottom layer indexes given by the J-th expert { rJ2,rJ3,……rJnThe index x of the lowest importance in the order relation (1) can be calculated by the formula (2)JnSubjective weight of (1):
Figure BDA0002869894350000091
according to the increasing rule of the importance, the subjective weight of each index in the order relation (1) can be calculated:
ωJ(i-1)＝rJiωJi (3)
therefore, the subjective weight sequence { omega ] of the J th expert to the bottom layer index of a certain type of low-voltage equipment index system can be obtainedJ1,ωJ2,……ωJnA weight decreasing sequence, which is reordered according to a uniform index sequence to obtain a weight sequence of the J-th expert
Figure BDA0002869894350000092
S14, based on the difference between the experience and knowledge of each expert, the influence of the given weight on the actual weight is different, and K subjective weights given by K experts need to be weighted to obtain the actual subjective weight W ═ ω { (ω) of each index of the low-voltage distribution network device1,ω2…ωnThe calculation formula is shown in formula (4):
Figure BDA0002869894350000093
wherein alpha isJIs the influence weight of the jth expert,
Figure BDA0002869894350000094
subjective weight, ω, given to the ith index by the J-th expertiAnd the weighted actual subjective weight of the ith index.
S2, the method for determining the objective weight of the equipment index system based on the improved CRITIC method comprises the following steps:
s21, assuming that an index system of a certain type of low-voltage distribution network equipment has n indexes, the edge computing terminal acquires all index data of m equipment of the type, and an original data matrix A is formed:
Figure BDA0002869894350000095
carrying out forward non-dimensionalization treatment on each row of elements in the original data matrix A, namely mapping the values between [0 and 1] when the values are larger, wherein the values are better, the calculation formula of the benefit index non-dimensionalization treatment is shown as formula (6), and the calculation formula of the cost index non-dimensionalization treatment is shown as formula (7):
Figure BDA0002869894350000101
Figure BDA0002869894350000102
in formulae (6) and (7), bijShows the result of the non-dimensionalization processing of the j index data of the ith device,
Figure BDA0002869894350000103
and
Figure BDA0002869894350000104
the maximum value and the minimum value of the jth index are respectively, and the normalized matrix B is as follows:
Figure BDA0002869894350000105
s22, determining objective weight based on the difference degree of the same index information, wherein the data difference degree of the CRITIC method is represented by a variation coefficient, and the calculation formula is as follows (9):
Figure BDA0002869894350000106
in formula (9), σjIs the standard deviation of the j-th index,
Figure BDA0002869894350000107
the calculation formula is the mean value of the j index as follows:
Figure BDA0002869894350000108
Figure BDA0002869894350000109
the S23 and CRITIC method have the advantages that mutual independence among indexes is considered, and the indexes are represented by correlation coefficients and conflict coefficients. The correlation coefficient reflects the degree of correlation between the indexes, and the calculation formula is as follows (12):
Figure BDA00028698943500001010
in the formula (12), the reaction mixture is,
Figure BDA00028698943500001011
and
Figure BDA00028698943500001012
are the mean values, r, of the k-th and l-th indices in the normalization matrix B, respectivelyklAnd the correlation coefficient of the kth index and the l index is shown.
The correlation coefficient matrix R can be obtained from equation (12):
Figure BDA0002869894350000111
the key of the CRITIC method for determining the objective weight is to reduce the influence of the degree of association between indexes, so that the degree of independence between the indexes needs to be highlighted, an independent coefficient is adopted to reflect the characteristic, and the calculation formula is as follows (14):
Figure BDA0002869894350000112
s24, the comprehensive coefficient of the index is the product of the variation coefficient and the independent coefficient, the information content contained in one index is reflected, and the calculation formula is as shown in formula (15):
Figure BDA0002869894350000113
based on the integrated coefficients of the n indices, the actual objective weight C ═ C can be determined1,c2,…cn}：
Figure BDA0002869894350000114
S3 determination of combining weight
Based on the subjective weight of each index of certain low-voltage distribution network equipment obtained in the step S1 and the objective weight obtained in the step S2, weight integration is carried out by adopting an ideal point method, compared with the traditional multiplication normalization method and a linear weighting method, the combined weight method has better interpretability and rationality, and the calculation formula is shown in the formula (17):
Figure BDA0002869894350000115
according to the formula (17), the comprehensive weight Z ═ Z { Z ═ Z of each index in a certain low-voltage distribution network equipment index system determined by the CRITIC-G1 method can be obtained1,z2,…zn}。
S4 equipment maintenance sequence evaluation method based on improved TOPSIS method
S41, construction of a weighted normalization matrix: the weighted normalization matrix Y is obtained by multiplying the integrated weight B calculated in 2.2.2 by the normalization matrix of equation (8):
Figure BDA0002869894350000121
s42, extracting the maximum value and the minimum value of each column in the weighted normalization matrix Y to form a positive ideal solution Y+And Y-Wherein Y is+＝(y1 +,y2 +,…,yn +)，Y-＝(y1 -,y2 -,…,yn -)。
S43, calculating weighted standardized data of each index of m similar low-voltage distribution network devices to Y+And Y-Euclidean distance of di +And di -(i＝1,2,…m)：
Figure BDA0002869894350000122
Figure BDA0002869894350000123
Since the dimensionless processing is performed in a forward mode, d isi +The larger, di -Smaller means better device status and worse.
S44, the simple Euclidean distance is lack of interpretability, therefore, a grey correlation coefficient is introduced, the correlation degree of the equipment and the positive and negative ideal solutions is evaluated, the higher the correlation degree with the positive ideal solution is, the lower the correlation degree with the negative ideal solution is, the better the equipment state is, and the worse the equipment state is.
Based on the weighted normalization matrix Y, calculating a gray correlation coefficient t of the j evaluation index of the i equipment with respect to positive and negative ideal solutionsij +And tij -：
Figure BDA0002869894350000131
Figure BDA0002869894350000132
In formulae (21) and (22), i is 1,2, … m; j is 1,2, … n;
solving the comprehensive grey correlation coefficient of the ith device and the positive and negative ideal solutions as follows:
Figure BDA0002869894350000133
Figure BDA0002869894350000134
s45, carrying out non-dimensionalization processing on the Euclidean distance and the grey correlation coefficient:
Figure BDA0002869894350000135
and (3) calculating the closeness, namely closeness, of each device to the positive and negative ideal solutions by integrating the dimensionless Euclidean distance and the grey correlation coefficient, wherein the farther the distance from the negative ideal solution is, the higher the correlation with the positive ideal solution is, the better the device state is represented, so that the closeness calculation formula is as follows:
Figure BDA0002869894350000136
in the formula (26), the reaction mixture is,
Figure BDA0002869894350000137
indicating the closeness of the ith device to the ideal solution,
Figure BDA0002869894350000138
representing the closeness of the ith device to the negative ideal solution, c and v are weights of the euclidean distance and grey correlation coefficient, and c + v is 1.
Calculating the relative closeness of each device:
Figure BDA0002869894350000141
in formula (27), i is 1,2, … m.
S46, solving the relative closeness of each device, wherein the greater the relative closeness, the better the device state is represented, and the smaller the relative closeness, the worse the device state is represented.
And taking reciprocal of the relative closeness of each device to be evaluated, wherein the larger the numerical value is, the worse the device state is represented, and sorting is carried out according to a descending rule, so that the maintenance arrangement sequence of each device can be obtained, and reference is provided for maintenance sequence arrangement.
And evaluating the maintenance sequence of the low-voltage distribution network equipment, wherein an evaluation model of the running state of the equipment needs to be established, and a plurality of indexes are formulated to represent whether the running state of the equipment is abnormal or not. According to the equipment data updating period and the acquisition mode, the data can be divided into four dimensions of real-time information, inspection information, test information and basic information:
(1) real-time information: the updating period of the low-voltage distribution network equipment electrical quantity and the ambient environment quantity acquired by the sensor is set to be a minute level;
(2) and (3) patrol information: the operation and maintenance personnel develop the information collected by the inspection plan, can reflect the appearance of the equipment and part of the internal operation conditions, and the updating period is 1 quarter to 1 year;
(3) test information: the information acquired through preventive time delay can comprehensively reflect the loss condition in the equipment, and the updating period is 3 to 6 years;
(4) basic information: the device comprises two parts: familial defect information, as determined by the device design, is generally not updated; history information consisting of the recording of defects by the device in the last year.
The index system of the low-voltage distribution network equipment is expanded based on the four dimensions, indexes established by various types of low-voltage distribution network equipment based on the four dimensions are different according to different functions and working environments, and the index system taking a transformer, a switch cabinet and a feeder line as examples refers to fig. 3, fig. 4 and fig. 5. The low-voltage distribution network equipment includes, but is not limited to, the three types of equipment, but the repair sequence evaluation method provided by the embodiment has applicability to all low-voltage distribution network equipment.
In the embodiment, an evaluation index system of multi-type low-voltage distribution network equipment is constructed, and the weight values of all indexes of the low-voltage distribution network equipment are determined by adopting an improved CRITIC-G1 method, compared with a traditional combined weight method of an analytic hierarchy process and an entropy weight method, the G1 method adopted in the embodiment does not need to establish a complex matrix and carry out consistency check, the modeling process is simple, the adopted improved CRITIC method comprehensively considers the problems of data difference and relevance among the indexes, and the obtained objective weight is more reasonable; evaluating the relative health state of the equipment by adopting a TOPSIS method, and making an equipment maintenance sequence arrangement plan; on the basis of the traditional TOPSIS method, a grey correlation coefficient is introduced, more information of the correlation degree between the equipment state and the positive and negative ideal solution is provided, the problem of singleness of the goodness of Euclidean distance judgment solution is solved, and the obtained equipment state goodness and badness ordering is more reasonable. This embodiment is under the limited condition of maintenance resource, and the maintenance order of reasonable arrangement equipment avoids the impaired equipment of high degree to obtain in time repairing and scrap, the excessive emergence of overhauing the problem of the impaired equipment of low degree.
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 (10)

1. A low-voltage distribution network equipment overhaul sequence evaluation method is characterized by comprising the following steps:
s1, determining subjective weight of each index in the equipment index system based on the G1 method;
s2, determining the actual objective weight of each index of the equipment index system based on the CRITIC method;
s3, determining a combination weight by adopting an ideal point method according to the subjective weight and the actual objective weight;
and S4, calculating the state evaluation value of each device according to the index data of each index in the device index system and the corresponding combined weight, sequencing all the obtained state evaluation values, and determining the overhaul sequence of each device.
2. The method for evaluating the overhaul sequence of the low-voltage distribution network equipment according to claim 1, wherein the step S1 comprises:
s11, obtaining the importance ranking of each K experts to n indexes in the equipment index system;
s12, obtaining a relative importance sequence provided by each expert according to the importance sequence of the expert on n indexes in the equipment index system;
s13, calculating the subjective weight of the index with the lowest importance, combining the relative importance sequence to obtain a subjective weight descending sequence of all indexes, and reordering the subjective weight descending sequence according to a uniform index sequence to obtain a weight sequence of each expert;
s14, weighting the K subjective weights given by the K experts to obtain an actual subjective weight set of n indexes of the low-voltage distribution network equipment.
3. The method for evaluating the overhaul sequence of the low-voltage distribution network equipment according to claim 2, wherein the step S11 specifically comprises: taking the J-th expert as an example, the unified ordering of all indexes in a certain low-voltage distribution network equipment index system is set as { x }1,x2,……xnThe J-th expert selects the index x which is considered to be most importantpIs marked as xJ1Put the first place, then remove the index, select the most important index from the rest indexes, and mark as xJ2By analogy, the order relation of the J-th expert to the descending importance of the n indexes in the equipment index system can be obtained as follows:
xJ1＞xJ2＞L＞xJn
in the formula, xJnThe index is considered as the index with the lowest importance by J-th experts.
4. The method for evaluating the overhaul sequence of the low-voltage distribution network equipment according to claim 3, wherein the step S12 specifically comprises: j th expert provides xJ(i-1)And xJ(i)Is assigned a relative importance value rJi(i ═ 2,3 … … n); wherein r isJiThe larger the value of (A), the larger is xJ(i-1)Relative to xJ(i)The greater the degree of importance; obtaining a relative importance sequence { r ] according to the relative importance assignment of each index after the 2 nd indexJ2,rJ3,……rJn}。
5. The method for evaluating the overhaul sequence of the low-voltage distribution network equipment according to claim 4, wherein the step S13 specifically comprises: calculating the index x with the lowest importanceJnSubjective weight ω ofJn：
Figure FDA0002869894340000021
Obtaining the subjective weight decreasing sequence { omega ] of all indexesJ1,ωJ2,……ωJnReordering the subjective weight decreasing sequence according to a uniform index sequenceObtaining the weight sequence of J-th expert
Figure 1
。
6. The method for evaluating the overhaul sequence of the low-voltage distribution network equipment according to claim 5, wherein the step S14 specifically comprises: weighting K subjective weights given by K experts to obtain an actual subjective weight set W ═ omega of n indexes of the low-voltage distribution network equipment1,ω2…ωnAnd the calculation formula of the actual subjective weight of each index is as follows:
Figure FDA0002869894340000023
in the formula, alphaJIs the influence weight of the jth expert,
Figure FDA0002869894340000024
subjective weight, ω, given to the ith index by the J-th expertiAnd the weighted actual subjective weight of the ith index.
7. The method for evaluating the overhaul sequence of the low-voltage distribution network equipment according to claim 6, wherein the step S2 comprises:
s21, for n indexes in a certain type of equipment index system, obtaining all index data of m equipment of the type to form an original data matrix A:
Figure FDA0002869894340000025
carrying out forward non-dimensionalization processing on each row of elements in the original data matrix A, namely mapping the values between [0 and 1] when the values are larger, wherein the efficiency index non-dimensionalization processing is calculated according to the following formula:
Figure FDA0002869894340000026
the cost index dimensionless processing calculation formula is as follows:
Figure FDA0002869894340000031
in the formula, bijShows the result of the non-dimensionalization processing of the j index data of the ith device,
Figure FDA0002869894340000032
and
Figure FDA0002869894340000033
the maximum value and the minimum value of the jth index are respectively;
from the result after the dimensionless process, the normalized matrix B is obtained as:
Figure FDA0002869894340000034
s22, calculating a coefficient of variation which represents the difference degree of the index information data, wherein the calculation formula is as follows:
Figure FDA0002869894340000035
in the formula (I), the compound is shown in the specification,
Figure FDA0002869894340000036
coefficient of variation, σ, of j-th indexjIs the standard deviation of the j-th index,
Figure FDA0002869894340000037
is the mean value of the j-th index, σjAnd
Figure FDA0002869894340000038
the calculation formulas of (A) are respectively as follows:
Figure FDA0002869894340000039
Figure FDA00028698943400000310
s23, calculating a correlation coefficient reflecting the correlation degree between the indexes, wherein the calculation formula is as follows:
Figure FDA00028698943400000311
in the formula (I), the compound is shown in the specification,
Figure FDA00028698943400000312
and
Figure FDA00028698943400000313
are the mean values, r, of the k-th and l-th indices in the normalization matrix B, respectivelyklA correlation coefficient representing the kth index and the l index;
and (3) solving a correlation coefficient matrix R according to the formula:
Figure FDA00028698943400000314
calculating an independent coefficient representing the independent degree among the indexes, wherein the calculation formula is as follows:
Figure FDA0002869894340000041
in the formula etajAn independent coefficient representing a j-th index;
the comprehensive coefficient of the information content of the reflected index is calculated as the product of the variation coefficient and the independent coefficient, and the calculation formula is as follows:
Figure FDA0002869894340000042
in the formula, gammajThe comprehensive coefficient of the jth index;
based on the integrated coefficients of the n indices, the actual objective weight set C ═ C can be determined1,c2,…cn}：
Figure FDA0002869894340000043
In the formula, cjIs the actual objective weight of the jth index.
8. The method for evaluating the overhaul sequence of the low-voltage distribution network equipment according to claim 7, wherein the step S3 is specifically as follows:
according to the subjective weight and the actual objective weight, performing weight integration on each index by adopting an ideal point-based method to obtain a comprehensive weight, wherein the calculation formula is as follows:
Figure FDA0002869894340000044
in the formula, zjIs the composite weight of the jth index,
obtaining a comprehensive weight set Z ═ Z of each index in the equipment index system1,z2,…zn}。
9. The method for evaluating the overhaul sequence of the low-voltage distribution network equipment according to claim 8, wherein the step S4 specifically comprises:
s41, constructing a weighted normalization matrix: and multiplying the obtained comprehensive weight Z and the normalization matrix to obtain a weighted normalization matrix Y:
Figure FDA0002869894340000045
extracting the maximum value and the minimum value of each column in the weighted normalization matrix Y to form a positive ideal solution Y+And Y-Wherein Y is+＝(y1 +,y2 +,…,yn +)，Y-＝(y1 -,y2 -,…,yn -)；
S42, calculating weighted standardized data of each index of m similar low-voltage distribution network devices to Y+And Y-Euclidean distance of di +And di -(i＝1,2,…m)：
Figure FDA0002869894340000051
Figure FDA0002869894340000052
S43, calculating a gray correlation coefficient t of the j evaluation index of the i equipment with respect to the positive and negative ideal solutions based on the weighted normalization matrix Yij +And tij -：
Figure FDA0002869894340000053
Figure FDA0002869894340000054
Wherein i is 1,2, … m; j is 1,2, … n;
solving the comprehensive grey correlation coefficient of the ith device and the positive and negative ideal solutions as follows:
Figure FDA0002869894340000055
Figure FDA0002869894340000056
s44, carrying out non-dimensionalization processing on the Euclidean distance and the grey correlation coefficient:
Figure FDA0002869894340000057
and (3) calculating the closeness of each device to the positive and negative ideal solutions by integrating the dimensionless Euclidean distance and the grey correlation coefficient, wherein the closeness is defined as the closeness, and the calculation formula of the closeness is as follows:
Figure FDA0002869894340000058
in the formula (I), the compound is shown in the specification,
Figure FDA0002869894340000059
indicating the closeness of the ith device to the ideal solution,
Figure FDA00028698943400000510
representing the closeness of the ith device to the negative ideal solution, c and v are weights of euclidean distance and gray correlation coefficients, c + v is 1, i is 1,2, … m;
s45, calculating the relative closeness of each device as follows:
Figure FDA0002869894340000061
wherein i is 1,2, … m;
Figure FDA0002869894340000062
representing the relative closeness of the ith device;
and finally, taking the reciprocal of the relative closeness of each device to be evaluated to obtain a state evaluation value, and sequencing the state evaluation values to obtain the maintenance arrangement sequence of each device.
10. The method for evaluating the overhaul sequence of the low-voltage distribution network equipment according to claim 9, wherein in the step S45, the state evaluation values are sorted according to a descending rule.
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