CN113610379A - AHP-CRITIC-based comprehensive evaluation method for operating state of power transmission line - Google Patents

AHP-CRITIC-based comprehensive evaluation method for operating state of power transmission line Download PDF

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CN113610379A
CN113610379A CN202110879051.6A CN202110879051A CN113610379A CN 113610379 A CN113610379 A CN 113610379A CN 202110879051 A CN202110879051 A CN 202110879051A CN 113610379 A CN113610379 A CN 113610379A
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王敏珍
戴文涛
郭剑凯
赵立英
张益霖
李成
齐恩铁
张广新
郑研
聂路
袁志成
王新珩
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Changchun Power Supply Co Of State Grid Jilinsheng Electric Power Supply Co
Dalian Power Supply Co Of Liaoning Electric Power Co ltd
Changchun Institute of Applied Chemistry of CAS
Changchun Institute Technology
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Changchun Power Supply Co Of State Grid Jilinsheng Electric Power Supply Co
Dalian Power Supply Co Of Liaoning Electric Power Co ltd
Changchun Institute of Applied Chemistry of CAS
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Abstract

The invention relates to a comprehensive evaluation method for the running state of a power transmission line based on AHP-CRITIC, which comprises the following steps: constructing a hierarchical structure model of the indexes of the operation state of the power transmission line; constructing a discrimination matrix; checking consistency; calculating index weight of a criterion layer; calculating the index weight of an evaluation layer; calculating the subjective weight of each index; establishing a line unit state grade grading standard; calculating the variation degree of each index; calculating the correlation coefficient, the information quantity and the combination weight of each index; calculating an evaluation result of the running state of the power transmission line; the invention fully combines the respective advantages of the AHP method and the CRITIC method, better accords with objective reality, and has more guiding significance for the evaluation and early warning of the running state of the power transmission line.

Description

AHP-CRITIC-based comprehensive evaluation method for operating state of power transmission line
Technical Field
The invention relates to the technical field of power transmission and distribution, in particular to a comprehensive evaluation method for the running state of a power transmission line based on AHP-CRITIC.
Background
The power transmission line is used as an important channel for transmitting electric energy in the power system, monitors and evaluates the running condition of the overhead power transmission line, and is important for maintaining the safe and stable running of the power system. At present, the evaluation of the running state of the power transmission line has corresponding industry specifications, and the evaluation result is obtained by constructing different state quantities of the power transmission line, specifying state grades and scoring and calculating each state quantity according to field measured data. The evaluation method has good feasibility, accurate evaluation result and strong subjectivity. With the continuous expansion of the scale of the power grid and the improvement of the intellectualization, the operation state of the power transmission line cannot be scientifically and comprehensively evaluated by only depending on the industrial specification.
Currently, the evaluation of single state quantity in the running states of power equipment and power transmission lines at home and abroad is mature. For example, people such as the Nanrui group company, Inc. who spread, Chua Yueming, Sun Jiandong, and the like, adopt a BP neural network to evaluate the icing state of the power transmission line; the risk level of bird-related faults of the power transmission line tower is evaluated by combining hierarchical analysis and an entropy weight method by Li Yanglin of the national grid, Jiangxi province electric academy of sciences, Yanjun, ShiDazhai and the like; an electric power equipment evaluation method based on a data mining technology is provided by Chenjunxing of Beijing university of traffic, and is used for evaluating the state of a transformer, the state of relay protection equipment and the like. These studies have achieved good results, but the research on the overall operation state of the transmission line is still in the initial stage. The operating state indexes of the power transmission line are researched by a Delphi method and an analytic hierarchy process respectively through Linyi and Li Ji 28007, and the two evaluation methods both depend on a questionnaire survey and an expert scoring mode and have strong subjectivity; zhoanrenhua, Wangwei and Duyuan Jing and the like adopt an analytic hierarchy process to determine index weights and then evaluate the state of the power transmission line by a fuzzy evaluation method, so that the evaluation process is simplified, but manual participation is still needed, and the influence of subjective factors cannot be avoided; the tensor of Kunming theory of technology has proposed a power transmission line operating state evaluation method based on an association rule method and a Bayesian network and proved the feasibility thereof. Therefore, the evaluation research on the whole running state of the power transmission line at the present stage is less, the evaluation system is not complete enough, the evaluation system mainly depends on manual participation, the subjectivity is strong, the evaluation result lacks data support, and the objectivity of the data is ignored. Therefore, an objective and comprehensive power transmission line operation state evaluation method is urgently needed.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a comprehensive evaluation method for the running state of a power transmission line based on AHP-CRITIC, so that the reliability of an evaluation result is improved, and the safety and the stability of the power transmission line are ensured.
The technical problem to be solved by the invention is realized by the following technical scheme:
a comprehensive evaluation method for the running state of a power transmission line based on AHP-CRITIC comprises the following steps:
step 1, constructing a hierarchical structure model of indexes of the operation state of the power transmission line, setting the operation state of the power transmission line as a target layer, setting power transmission line units as indexes of a criterion layer, and setting state quantities of all the power transmission line units as indexes of an evaluation layer;
step 2, constructing a discrimination matrix, adopting an expert scoring method to compare the mutual importance degrees of the indexes pairwise, constructing a discrimination matrix L, wherein the matrix form is as follows:
Figure BDA0003191362850000021
in the formula, LijIs the relative importance of the ith index and the jth index, and
Figure BDA0003191362850000022
the specific standard refers to a discrimination table of a ninth scale method;
step 3, consistency check and calculation of the maximum eigenvalue lambda of the discriminant matrixmaxThen respectively calculating the consistency index and consistency ratio of the discrimination matrix, and the consistency index CIThe calculation formula is as follows:
Figure BDA0003191362850000023
in the formula, λmaxM is the number of indexes in the hierarchy, C, to determine the maximum eigenvalue of the matrixIThe matrix consistency index is judged;
consistency ratio scale CRThe calculation formula is as follows:
Figure BDA0003191362850000031
in the formula, CRTo discriminate matrix consistency ratios, CITo determine matrix consistency index，RIIs a random consistency index;
step 4, calculating the index weight of the criterion layer, and the index weight W of the criterion layer(I)The calculation formula is as follows:
Figure BDA0003191362850000032
in the formula, Wi (I)Weight, w, representing the ith level I indexiThe maximum characteristic vector value of the ith element;
step 5, calculating the index weight of the evaluation layer, and calculating the index weight W of the evaluation layer(II)The calculation formula is as follows:
Figure BDA0003191362850000033
in the formula, Wij (II)Represents the weight of the jth class II index under the ith class I index, wjThe maximum characteristic vector value of the jth element;
step 6, calculating the subjective weight of each index, wherein the calculation formula of the subjective weight alpha is as follows:
αij＝Wi (I)×Wij (II)
in the formula, alphaijRepresents the global weight of the jth level II index under the ith level I index, Wi (I)Weight, W, representing the ith index of class Iij (II)Represents the weight of the jth II-level index under the ith I-level index;
step 7, establishing a line unit state grade grading standard;
step 8, calculating the variation degree of each index, wherein a calculation formula of the variation degree sigma is as follows:
Figure BDA0003191362850000034
in the formula, σjIs standard deviation, xiIs the ith number of the jth index, N is xiNumber of (d), mu is xiCalculating the average number;
and 9, calculating the correlation coefficient of each index, wherein the calculation formula of the correlation coefficient R is as follows:
Figure BDA0003191362850000041
in the formula, N is the number of the evaluated indexes; k is the number of lines; s is the sum of squared deviations of the sum of the ratings for each of the rated indicators from the mean of all of these sums,
Figure BDA0003191362850000042
step 10, calculating the information amount of each index, information amount CjThe calculation formula is as follows:
Figure BDA0003191362850000043
in the formula, CjIs the information quantity of the j-th index, σjIs a standard deviation of RijIs a correlation coefficient, and N is the numerical number of the ith index;
step 11, calculating the objective weight of each index, wherein the objective weight beta calculation formula is as follows:
Figure BDA0003191362850000044
in the formula, betajIs the objective index weight of the jth index, CjThe information quantity of the jth index is N, and the number of the jth index is N;
step 12, calculating the combination weight of each index, wherein the calculation formula of the combination weight gamma is as follows:
γij＝δαij+(1-δ)βij
in the formula, gammaijIs the combined weight value, alpha, of the jth II-level index under the ith I-level indexijIs the subjective weight value, beta, of the jth II-level index under the ith I-level indexijIs the ithThe objective weight value of the jth II-level index under the I-level index is more than or equal to 0 and less than or equal to 1;
step 13, calculating an evaluation result of the running state of the power transmission line, wherein a calculation formula of the evaluation result U is as follows:
Figure BDA0003191362850000045
in the formula, U represents the running state score of the transmission line, gammaijRepresents the combined weight of the jth class II index under the ith class I index, NijThe quantitative data of the jth II-level index under the ith I-level index is represented, m represents the number of the I-level indexes, and n represents the number of the II-level indexes under the ith I-level index.
When C in the step 3RIf the number is less than 0.1, the consistency check is passed;
when C in the step 3RWhen the consistency check is not passed when the consistency check is more than 0.1, the judgment matrix is required to be adjusted until CR＜0.1；
M in said step 9iThe number of repetition levels, n, in the evaluation result of the ith indexijThe number of the same levels of the jth repetition level in the evaluation result of the ith index.
The invention has the beneficial effects that:
(1) the comprehensive evaluation method for the running state of the power transmission line combines the AHP and the CRITIC, fully combines the advantages of the AHP and the CRITIC, can well avoid the phenomenon of weight unbalance while keeping the subjective opinion of an expert, is more in line with objective practice compared with the traditional standard and standard evaluation method, and has more guiding significance for the evaluation and early warning of the running state of the power transmission line.
(2) The method can increase, reduce or modify the index number according to the actual requirements on site, is suitable for the evaluation of the running states of the power transmission lines in different areas, and has wide application prospect.
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Fig. 1 is a flowchart of a comprehensive evaluation method for an operation state of a power transmission line based on AHP-CRITIC according to the present invention.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings.
As shown in fig. 1, a comprehensive evaluation method for an operation state of a power transmission line based on AHP-CRITIC includes the following steps:
step 1, constructing a hierarchical structure model of the indexes of the operation state of the power transmission line, setting the operation state of the power transmission line as a target layer, setting line units as indexes of a criterion layer (I-level indexes), and setting the state quantity of each line unit as indexes of an evaluation layer (II-level indexes).
The method comprises the steps of setting the running state of a power transmission line as a target layer, setting eight line units such as a foundation, a tower, a ground wire, an insulator string, a hardware fitting, a grounding device, an accessory facility and a channel environment as criteria layer indexes (I-level indexes), and setting the state quantity of each line unit as an evaluation layer index (II-level index). The constructed hierarchical structure model of the evaluation index of the running state of the power transmission line is shown in table 4;
step 2, constructing a discrimination matrix, adopting an expert scoring method to compare the mutual importance degrees of the indexes pairwise, constructing a discrimination matrix L, wherein the matrix form is as follows:
Figure BDA0003191362850000061
in the formula, LijIs the relative importance of the ith index and the jth index, and
Figure BDA0003191362850000062
the specific criteria are referenced to the ninth scale decision table, which is shown in table 1.
For example, according to the expert scoring result, the criterion layer is constructed into a discrimination matrix A by referring to a ninth scale as follows:
Figure BDA0003191362850000063
step 3, consistency check and calculation of the maximum eigenvalue lambda of the discriminant matrixmaxAnd then respectivelyCalculating the consistency index and consistency ratio of the discrimination matrix, consistency index CIThe calculation formula is as follows:
Figure BDA0003191362850000064
in the formula, λmaxM is the number of indexes in the hierarchy, C, to determine the maximum eigenvalue of the matrixIThe matrix consistency index is judged;
consistency ratio CRThe calculation formula is as follows:
Figure BDA0003191362850000071
in the formula, CRTo discriminate matrix consistency ratios, CITo discriminate matrix consistency index, RIAs a random consistency index, RIThe values of (A) are shown in Table 2.
When C in the step 3R<When 0.1, the consistency check is passed;
e.g. maximum eigenvalue lambda of matrix amax8.347, the maximum feature vector is (0.8053.0180.5521.6491.160.3760.2570.182) T, and the consistency index is calculated according to the maximum feature value
Figure BDA0003191362850000072
From Table 2, the consistency ratio was calculated
Figure BDA0003191362850000073
Therefore, the consistency check is passed, and the construction of the discrimination matrix is successful.
When C in the step 3RWhen the consistency check is not passed when the consistency check is more than 0.1, the judgment matrix is required to be adjusted until CR<0.1；
E.g. maximum eigenvalue lambda of matrix amaxThe maximum feature vector is (0.8053.0180.5521.6491.160.3760.2570.182) T (9.05), and the consistency index is calculated according to the maximum feature value
Figure BDA0003191362850000074
From Table 2, the consistency ratio was calculated
Figure BDA0003191362850000075
Therefore, the consistency check is not passed, the construction of the discrimination matrix fails, and the discrimination matrix needs to be adjusted until CR<0.1。
Step 4, calculating the index weight of the criterion layer, and the index weight W of the criterion layer(I)The calculation formula is as follows:
Figure BDA0003191362850000076
in the formula, Wi (I)Weight, w, representing the ith level I indexiIs the maximum eigenvector value of the ith element.
For example, the maximum eigenvector of the matrix A is (0.8053.0180.5521.6491.160.3760.2570.182) T, the criterion layer index T5The weight is:
Figure BDA0003191362850000077
step 5, calculating the index weight of the evaluation layer, and calculating the index weight W of the evaluation layer(II)The calculation formula is as follows:
Figure BDA0003191362850000081
in the formula, Wij (II)Represents the weight of the jth class II index under the ith class I index, wjIs the maximum eigenvector value of the jth element.
For example, criterion layer indicator fitting T5The decision matrix B of (1) is:
Figure BDA0003191362850000082
the most important of the matrix BLarge eigenvalue lambdamaxWhen the maximum eigenvector is (1.7861.7861.7861.7861.7861.0220.4380.4380.4380.4380.1480.148) T, 12.359, the layer index T is evaluated51The weight is:
Figure BDA0003191362850000083
step 6, calculating the subjective weight of each index, wherein the calculation formula of the main weight alpha is as follows:
αij＝Wi (I)×Wij (II)
in the formula, alphaijRepresents the global weight of the jth level II index under the ith level I index, Wi (I)Weight, W, representing the ith index of class Iij (II)Representing the weight of the jth class II indicator under the ith class I indicator.
For example, the fitting evaluation layer index T51The subjective weights are:
α51＝W5 (I)×W51 (II)＝0.145×0.149＝0.022
step 7, establishing a grading standard of the state grade of the line unit, wherein the grading standard is shown in a table 3;
for example, the existing hardware states of 6 lines, and the obtained scores of all the lines are shown in table 5.
Step 8, calculating the variation degree of each index, wherein a calculation formula of the variation degree sigma is as follows:
Figure BDA0003191362850000091
in the formula, σjIs standard deviation, xiIs the ith number of the jth index, N is xiNumber of (d), mu is xiThe average number is counted.
For example, there are 2 lines in 6 lines and the evaluation layer index T52The abnormal state scores are respectively 3 and 3, and the other 4 line hardware evaluation layer indexes T52No abnormality, state scores of 5, 5,5. 5, then index T52The degree of variation of (a) is:
Figure BDA0003191362850000092
and 9, calculating the correlation coefficient of each index, wherein the calculation formula of the correlation coefficient R is as follows:
Figure BDA0003191362850000093
in the formula, N is the number of the evaluated indexes; k is the number of lines; s is the sum of squared deviations of the sum of the ratings for each of the rated indicators from the mean of all of these sums,
Figure BDA0003191362850000094
m in said step 9iThe number of repetition levels, n, in the evaluation result of the ith indexijThe number of the same levels of the jth repetition level in the evaluation result of the ith index.
Step 10, calculating the information amount of each index, information amount CjThe calculation formula is as follows:
Figure BDA0003191362850000095
in the formula, CjIs the information quantity of the j-th index, σjIs a standard deviation of RijIs the correlation coefficient, and N is the numerical number of the ith index.
Step 11, calculating the objective weight of each index, wherein the objective weight beta calculation formula is as follows:
Figure BDA0003191362850000101
in the formula, betajIs the objective index weight of the jth index, CjIs the information quantity of the jth index, and N is the number of the jth index.
E.g. C1＝2，C2＝5，C3When the value is 6, then beta1＝2/(2+5+6)＝0.154。
Step 12, calculating the combination weight of each index, wherein the calculation formula of the combination weight gamma is as follows:
γij＝δαij+(1-δ)βij
in the formula, gammaijIs the combined weight value, alpha, of the jth II-level index under the ith I-level indexijIs the subjective weight value, beta, of the jth II-level index under the ith I-level indexijIs the objective weight value of the jth II-level index under the ith I-level index, and delta is more than or equal to 0 and less than or equal to 1.
E.g. alpha51＝0.2，β51When δ is 0.154 and δ is 0.7 in practice, γ is determined51＝0.7×0.2+(1-0.7)×0.15＝40.186。
Step 13, calculating an evaluation result of the running state of the power transmission line, wherein a calculation formula of the evaluation result U is as follows:
Figure BDA0003191362850000102
in the formula, U represents the running state score of the transmission line, gammaijRepresents the combined weight of the jth class II index under the ith class I index, NijThe quantitative data of the jth II-level index under the ith I-level index is represented, m represents the number of the I-level indexes, and n represents the number of the II-level indexes under the ith I-level index.
For example, there are only 1 index of class I, i.e., m is 1, and there are 3 indexes of class II, i.e., n is 3, and the combination weight of each index of class II is γ11＝0.1862，γ12＝0.651，γ130.1628, quantitative data of each II-grade index is N11＝13，N12＝22，N13When the power transmission line is in 16 state, the operation state of the power transmission line is
Figure BDA0003191362850000103
TABLE 1 discrimination chart of nine-minute scale method
Discrimination Scale Means of
＝1/9 Element i is extremely unimportant compared to element j
＝1/7 Element i is very unimportant compared to element j
＝1/5 Element i is less important than element j
＝1/3 Element i is less important than element j
＝1 Element i is as important as element j
＝3 Element i is more important than element j
＝5 Element i is more important than element j
＝7 Element i is very important compared to element j
＝9 Element i is extremely important compared to element j
2,4,6,8 Median value of the above two adjacent judgments
TABLE 2RIValue-taking meter
m 1 2 3 4 5 6 7 8 9 10 11 12
RI 0 0 0.52 0.89 1.12 1.26 1.36 1.41 1.46 1.49 1.52 1.54
TABLE 3 line unit State grade Scoring criteria
Line unit status rating Score value
Normal State I 5
General State II 4
Note State III 3
Abnormal state IV 2
Severe State V 1
TABLE 4 hierarchical structure model of evaluation indexes of transmission line running state
Figure BDA0003191362850000121
TABLE 5 points obtained for each line
Figure BDA0003191362850000131

Claims (3)

1. A comprehensive assessment method for the running state of a power transmission line based on AHP-CRITIC is characterized by comprising the following steps:
step 1, constructing a hierarchical structure model of indexes of the operation state of the power transmission line, setting the operation state of the power transmission line as a target layer, setting power transmission line units as indexes of a criterion layer, and setting state quantities of all the power transmission line units as indexes of an evaluation layer;
step 2, constructing a discrimination matrix, adopting an expert scoring method to compare the mutual importance degrees of the indexes pairwise, constructing a discrimination matrix L, wherein the matrix form is as follows:
Figure FDA0003191362840000011
in the formula, LijIs the relative importance of the ith index and the jth index, and
Figure FDA0003191362840000012
the specific standard refers to a discrimination table of a ninth scale method;
step 3, consistency check and calculation of the maximum eigenvalue lambda of the discriminant matrixmaxThen respectively calculating the consistency index and consistency ratio of the discrimination matrix, and the consistency index CIThe calculation formula is as follows:
Figure FDA0003191362840000013
in the formula, λmaxM is the number of indexes in the hierarchy, C, to determine the maximum eigenvalue of the matrixIThe matrix consistency index is judged;
consistency ratio scale CRThe calculation formula is as follows:
Figure FDA0003191362840000014
in the formula, CRTo discriminate matrix consistency ratios, CITo discriminate matrix consistency index, RIIs a random consistency index;
step 4, calculating the index weight of the criterion layer, and the index weight W of the criterion layer(I)The calculation formula is as follows:
Figure FDA0003191362840000015
in the formula, Wi (I)Weight, w, representing the ith level I indexiThe maximum characteristic vector value of the ith element;
step 5, calculating the index weight of the evaluation layer, and calculating the index weight W of the evaluation layer(II)The calculation formula is as follows:
Figure FDA0003191362840000021
in the formula, Wij (II)Represents the weight of the jth class II index under the ith class I index, wjThe maximum characteristic vector value of the jth element;
step 6, calculating the subjective weight of each index, wherein the calculation formula of the subjective weight alpha is as follows:
αij＝Wi (I)×Wij (II)
in the formula, alphaijRepresents the global weight of the jth level II index under the ith level I index, Wi (I)Weight, W, representing the ith index of class Iij (II)Represents the weight of the jth II-level index under the ith I-level index;
step 7, establishing a line unit state grade grading standard;
step 8, calculating the variation degree of each index, wherein a calculation formula of the variation degree sigma is as follows:
Figure FDA0003191362840000022
in the formula, σjIs standard deviation, xiIs the ith number of the jth index, N is xiNumber of (d), mu is xiCalculating the average number;
and 9, calculating the correlation coefficient of each index, wherein the calculation formula of the correlation coefficient R is as follows:
Figure FDA0003191362840000023
in the formula, N is the number of the evaluated indexes; k is the number of lines; s is the sum of squared deviations of the sum of the ratings for each of the rated indicators from the mean of all of these sums,
Figure FDA0003191362840000024
step 10, calculating the information amount of each index, information amount CjThe calculation formula is as follows:
Figure FDA0003191362840000025
in the formula, CjIs the information quantity of the j-th index, σjIs a standard deviation of RijIs a correlation coefficient, and N is the numerical number of the ith index;
step 11, calculating the objective weight of each index, wherein the objective weight beta calculation formula is as follows:
Figure FDA0003191362840000031
in the formula, betajIs the objective index weight of the jth index, CjThe information quantity of the jth index is N, and the number of the jth index is N;
step 12, calculating the combination weight of each index, wherein the calculation formula of the combination weight gamma is as follows:
γij＝δαij+(1-δ)βij
in the formula, gammaijIs the combined weight value, alpha, of the jth II-level index under the ith I-level indexijIs the subjective weight value, beta, of the jth II-level index under the ith I-level indexijIs the objective weight value of the jth II-level index under the ith I-level index, and delta is more than or equal to 0 and less than or equal to 1;
step 13, calculating an evaluation result of the running state of the power transmission line, wherein a calculation formula of the evaluation result U is as follows:
Figure FDA0003191362840000032
in the formula, U represents the running state score of the transmission line, gammaijRepresents the combined weight of the jth class II index under the ith class I index, NijThe quantitative data of the jth II-level index under the ith I-level index is represented, m represents the number of the I-level indexes, and n represents the number of the II-level indexes under the ith I-level index.
2. The AHP-CRITIC-based comprehensive evaluation method for the operation state of the power transmission line as claimed in claim 1, wherein the current C in the step 3 is the current CRIf the number is less than 0.1, the consistency check is passed;
when C in the step 3RWhen the consistency check is not passed when the consistency check is more than 0.1, the judgment matrix is required to be adjusted until CR＜0.1。
3. The AHP-CRITIC-based comprehensive evaluation method for the operation state of the power transmission line as claimed in claim 1, wherein m in the step 9 isiThe number of repetition levels, n, in the evaluation result of the ith indexijThe number of the same levels of the jth repetition level in the evaluation result of the ith index.
CN202110879051.6A 2021-08-02 2021-08-02 AHP-CRITIC-based comprehensive evaluation method for operating state of power transmission line Pending CN113610379A (en)

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