CN114399135A - A method for determining the correlation degree of power grid operation abnormality index based on analytic hierarchy process - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及基于层次分析法的电网运行异常指标朔因关联度确定方法,属于电力系统运行和输电网技术领域。The invention relates to a method for determining the synergistic correlation degree of power grid operation abnormality indexes based on the analytic hierarchy process, and belongs to the technical field of power system operation and power transmission network.
背景技术Background technique
随着特高压交直流混联电网规模快速扩大,新能源并网快速发展,分布式电源和储能等新型负荷比例的快速上升,造成了电力系统的复杂性上升。针对新一代电力系统对调度运行控制的新要求,需要综合评估类应用,基于大数据技术对各类调控业务数据进行汇聚与融合,分析挖掘各类数据之间的内在规律。基于电网运行指标的评价体系,需要尽最大可能为调度操作业务提供指导或辅助决策,达到快速相应和高效操作,解决影响电网运行异常的问题,来提升电网运行的精益化和智能化水平。With the rapid expansion of the scale of UHV AC and DC hybrid power grids, the rapid development of new energy grids, and the rapid increase in the proportion of new loads such as distributed power and energy storage, the complexity of the power system has increased. In response to the new requirements of the new generation of power systems for dispatching operation control, comprehensive evaluation applications are required, based on big data technology to aggregate and fuse various types of regulation business data, and analyze and mine the inherent laws between various types of data. The evaluation system based on power grid operation indicators needs to provide guidance or assist decision-making for dispatching operations as much as possible, achieve rapid response and efficient operation, solve problems affecting abnormal power grid operation, and improve the lean and intelligent level of power grid operation.
发明内容SUMMARY OF THE INVENTION
本发明所要解决的技术问题是克服现有技术的缺陷,提供基于层次分析法的电网运行异常指标朔因关联度确定方法,目的在于帮助调度人员快速定位当前对电网影响最大的异常因素,优先处理关键问题,提升响应速度和故障排除的效率。The technical problem to be solved by the present invention is to overcome the defects of the prior art, and to provide a method for determining the correlation degree of power grid operation abnormality indexes based on AHP, the purpose is to help dispatchers quickly locate the abnormal factors that have the greatest impact on the power grid at present, and give priority to processing them. Critical issues, improving response speed and troubleshooting efficiency.
为达到上述目的,本发明提供基于层次分析法的电网运行异常指标朔因关联度确定方法,包括:In order to achieve the above purpose, the present invention provides a method for determining the correlation degree of power grid operation abnormality index based on AHP, including:
将待校验的目标层与准则层,或准则层与指标层输入构建的判断矩阵;Input the target layer to be verified and the criterion layer, or the criterion layer and the index layer into the constructed judgment matrix;
计算判断矩阵的权重系数;Calculate the weight coefficient of the judgment matrix;
根据权重系数进行一致性检验,若一致性检验小于设定的阈值,则判定该判断矩阵通过一致性检验,否则一致性检验不通过且结束运行;Carry out the consistency check according to the weight coefficient, if the consistency check is less than the set threshold, it is determined that the judgment matrix passes the consistency check, otherwise the consistency check fails and the operation ends;
对目标层、准则层和指标层进行优先级排列,筛选获得电网运行异常指标朔因关联度最大的层次。The target layer, the criterion layer and the index layer are prioritized, and the layer with the highest degree of correlation of the abnormality index of the power grid operation is obtained by screening.
优先地,根据已有的层次结构模型一,获得目标层与准则层之间的关系表;Preferably, according to the existing hierarchical structure model 1, the relationship table between the target layer and the criterion layer is obtained;
建立新的层次结构模型二,构建指标层和准则层之间的关系表。Establish a new hierarchical structure model 2, and construct the relationship table between the indicator layer and the criterion layer.
优先地,构建判断矩阵,包括:First, construct a judgment matrix, including:
构建目标层与准则层之间的判断矩阵:Build the judgment matrix between the target layer and the criterion layer:
式中:aij为衡量目标层/准则层第i个指标对目标层/准则层第j个指标的重要性的值,i∈[1,n],j∈[1,n],n为目标层中的指标数量和准则层中的指标数量的总和;In the formula: a ij is the value that measures the importance of the i-th index of the target layer/criteria layer to the j-th index of the target layer/criteria layer, i∈[1,n], j∈[1,n], n is The sum of the number of indicators in the target layer and the number of indicators in the criterion layer;
aij遵循正互反矩阵:a ij follows an inverse matrix:
式中,aji为衡量目标层/准则层第j个指标对目标层/准则层第i个指标的重要性的值。In the formula, a ji is a value that measures the importance of the j-th index of the target layer/criteria layer to the i-th index of the target layer/criteria layer.
优先地,构建判断矩阵,包括:First, construct a judgment matrix, including:
构建指标层和准则层之间的判断矩阵:Build a judgment matrix between the indicator layer and the criterion layer:
式中:aef为衡量指标层/准则层第e个指标对指标层/准则层第f个指标的重要性的值,e∈[1,h],f∈[1,h],h为指标层中的指标数量和准则层中的指标数量的总和;In the formula: a ef is the value that measures the importance of the e-th index of the index layer/criteria layer to the f-th index of the index layer/criteria layer, e∈[1,h], f∈[1,h], h is The sum of the number of indicators in the indicator layer and the number of indicators in the criterion layer;
aef遵循正互反矩阵:a ef follows an inverse matrix:
式中,aef为衡量指标层/准则层第e个指标对指标层/准则层第f个指标的重要性的值。In the formula, a ef is a value that measures the importance of the e-th index of the index layer/criteria layer to the f-th index of the index layer/criteria layer.
优先地,计算判断矩阵的权重系数,包括:Preferentially, calculate the weight coefficients of the judgment matrix, including:
根据方根法计算第j个指标权重wj为:According to the square root method, the jth indicator weight w j is calculated as:
优先地,计算判断矩阵的权重系数,包括:Preferentially, calculate the weight coefficients of the judgment matrix, including:
根据方根法计算第f个指标权重wf为:According to the square root method, the f-th indicator weight w f is calculated as:
优先地,根据权重系数进行一致性检验,包括:Preferentially, a consistency check is performed based on weight coefficients, including:
计算CI和CR:Calculate CI and CR:
式中,CI为目标层与准则层的判断矩阵的一般一致性指标,RI为目标层与准则层的判断矩阵的随机一致性指标,λmax为目标层与准则层的判断矩阵最大特征根,x为n;In the formula, CI is the general consistency index of the judgment matrix of the target layer and the criterion layer, RI is the random consistency index of the judgment matrix of the target layer and the criterion layer, λ max is the maximum characteristic root of the judgment matrix of the target layer and the criterion layer, x is n;
计算λmax:Calculate λ max :
若CR小于设定的阈值,则该判断矩阵通过一致性检验。If the CR is less than the set threshold, the judgment matrix passes the consistency check.
优先地,根据权重系数进行一致性检验,包括:Preferentially, a consistency check is performed based on weight coefficients, including:
计算CI和CR:Calculate CI and CR:
式中,CI为指标层和准则层的判断矩阵的一般一致性指标,RI为指标层和准则层的判断矩阵的随机一致性指标,λmax为指标层和准则层的判断矩阵最大特征根,x为h;In the formula, CI is the general consistency index of the judgment matrix of the index layer and the criterion layer, RI is the random consistency index of the judgment matrix of the index layer and the criterion layer, λ max is the maximum characteristic root of the judgment matrix of the index layer and the criterion layer, x is h;
计算λmax:Calculate λ max :
若CR小于设定的阈值,则该判断矩阵通过一致性检验。If the CR is less than the set threshold, the judgment matrix passes the consistency check.
优先地,RI的取值为:Preferentially, the value of RI is:
;;
CR取值0.1。CR takes the value 0.1.
优先地,对目标层、准则层和指标层进行优先级排列,筛选获得电网运行异常指标朔因关联度最大的,包括:First, the target layer, the criterion layer and the index layer are prioritized, and the ones with the largest synergistic correlation of the abnormal power grid operation indicators are obtained by screening, including:
优先级降序排序:目标层、准则层和指标层;Descending order of priority: target layer, criterion layer and indicator layer;
依次求得目标层中所有指标的权重的总和、准则层中所有指标的权重的总和以及指标层中所有指标的权重的总和;Obtain the sum of the weights of all indicators in the target layer, the sum of the weights of all indicators in the criterion layer, and the sum of the weights of all indicators in the indicator layer in turn;
筛选目标层中所有指标的权重的总和、准则层中所有指标的权重的总和以及指标层中所有指标的权重的总和中最大值,获得电网运行异常指标朔因关联度最大的层次。Screen the sum of the weights of all indicators in the target layer, the sum of the weights of all indicators in the criterion layer, and the maximum value of the sum of the weights of all indicators in the indicator layer, and obtain the layer with the largest synergistic correlation of the abnormal power grid operation indicators.
优先地,目标层的指标包括电网运行异常指标朔因关联度;Preferentially, the index of the target layer includes the synergistic correlation degree of the abnormality index of power grid operation;
准则层的指标包括调节能力和稳态运行能力;The indicators of the criterion layer include adjustment ability and steady-state operation ability;
指标层的指标包括一次调频能力、AGC调节能力、电压调节能力、断面有功功率、线路过载、主变过载、短路电流、母线电压和电网系统频率。The indicators of the index layer include primary frequency regulation capability, AGC regulation capability, voltage regulation capability, section active power, line overload, main transformer overload, short-circuit current, bus voltage and grid system frequency.
本发明所达到的有益效果:Beneficial effects achieved by the present invention:
本发明将待校验的目标层与准则层,或准则层与指标层输入构建的判断矩阵;计算判断矩阵的权重系数;根据权重系数进行一致性检验,若一致性检验小于设定的阈值,则判定该判断矩阵通过一致性检验,否则一致性检验不通过且结束运行;对目标层、准则层和指标层进行优先级排列,筛选获得电网运行异常指标朔因关联度最大的层次,实现电网运行异常指标朔因关联度的评价,为后续操作优先提供参考依据;In the present invention, the target layer to be checked and the criterion layer, or the criterion layer and the index layer are input into the constructed judgment matrix; the weight coefficient of the judgment matrix is calculated; the consistency test is carried out according to the weight coefficient; Then it is judged that the judgment matrix passes the consistency check, otherwise the consistency check fails and the operation ends; the target layer, the criterion layer and the index layer are prioritized, and the level with the highest degree of correlation of the abnormality index of the power grid operation is obtained by screening to realize the power grid operation. The evaluation of the correlation degree of the operation abnormality index provides a reference basis for the priority of subsequent operations;
本发明目的在于帮助调度人员快速定位当前对电网影响最大的异常因素,便于优先处理关键问题,提升响应速度和故障排除的效率。The purpose of the invention is to help dispatchers to quickly locate the abnormal factors that have the greatest impact on the power grid at present, facilitate the priority processing of key problems, and improve the response speed and the efficiency of troubleshooting.
附图说明Description of drawings
图1是本发明的流程图。Figure 1 is a flow chart of the present invention.
具体实施方式Detailed ways
以下实施例仅用于更加清楚地说明本发明的技术方案,而不能以此来限制本发明的保护范围。The following examples are only used to illustrate the technical solutions of the present invention more clearly, and cannot be used to limit the protection scope of the present invention.
基于层次分析法的电网运行异常指标朔因关联度确定方法,其目的在于捕捉影响电网异常的指标因素,并基于层次分析法对这些影响因素进行朔因归理和权重排序,为后续调度操作提供参考。在分析过程中,可将电网看作是一个由相互关联、相互制约的众多因素构成的复杂而往往缺少定量数据的系统,层次分析法为这类多因素问题的决策和排序提供了一种新的、简洁而实用的建模方法。The method for determining the correlation degree of power grid abnormality indicators based on AHP is to capture the index factors that affect the abnormality of the power grid, and based on the AHP method, these influencing factors are reasoned and weighted to provide information for subsequent dispatching operations. refer to. In the process of analysis, the power grid can be regarded as a complex system composed of many interrelated and mutually restricting factors that often lack quantitative data. AHP provides a new method for decision-making and sorting of such multi-factor problems A simple and practical modeling method.
应用层次分析决策问题时,首先要把问题条理化和层次化,构造出一个有层次的层次结构模型。在这个层次结构模型下,复杂问题被分解为元素的组成部分,这些元素又按其属性及关系形成若干层次。上一层次的元素作为准则对下一层次有关元素起支配作用。这些层次可以分为三类:When applying Analytic Hierarchy Process (AHP) to decision-making problems, first of all, the problem should be organized and layered, and a hierarchical model with layers should be constructed. Under this hierarchical model, complex problems are decomposed into components of elements, which in turn form several levels according to their attributes and relationships. Elements of the previous level act as criteria to dominate the related elements of the next level. These levels can be divided into three categories:
(i)最高层:这一层次中只有一个元素,一般它是分析问题的预定目标或理想结果,因此也称为目标层。(i) The highest level: There is only one element in this level, which is generally the predetermined goal or ideal result of the analysis problem, so it is also called the goal level.
(ii)中间层:这一层次中包含了为实现目标所涉及的中间环节,它可以由若干个层次组成,包括所需考虑的准则和子准则,因此也称为准则层。(ii) Intermediate layer: This layer contains the intermediate links involved in achieving the goal. It can be composed of several layers, including the criteria and sub-criteria to be considered, so it is also called the criterion layer.
(iii)最底层:这一层次包括了为实现目标可供选择的具体指标,因此也称为指标层或方案层。(iii) The bottom layer: This layer includes specific indicators that can be selected to achieve the goal, so it is also called the indicator layer or the program layer.
首先定义电网运行指标范畴,然后对指标进行分级构建,例如选取调节能力、稳态运行能力作为模型,该层次结构模型主要包括目标层、准则层和指标层三部分。指标体系构建后,需要对电网指标后评价指标体系的权重值进行计算。其基本计算原理为将评价系统方案的各种要素分解成若干层次,形成一个递阶有序的层次结构模型,然后将层次结构模型每层次的各要素相对于其上一层次某要素进行两两比较判断,从而求出各要素的权重;根据综合权重系数排列,按照最大权重原则定位最优方案。First define the category of power grid operation indicators, and then construct the indicators hierarchically, such as selecting the adjustment capability and steady-state operation capability as the model. The hierarchical structure model mainly includes three parts: the target layer, the criterion layer and the indicator layer. After the index system is constructed, it is necessary to calculate the weight value of the power grid index post-evaluation index system. The basic calculation principle is to decompose the various elements of the evaluation system plan into several levels to form a hierarchical and ordered hierarchical structure model, and then compare the elements of each level of the hierarchical structure model with respect to a certain element of the previous level. Compare and judge, so as to obtain the weight of each element; arrange according to the comprehensive weight coefficient, and locate the optimal plan according to the principle of maximum weight.
1.1构建层次结构模型1.1 Building a Hierarchical Model
S1步骤包括:建立所需要的层次结构模型,以表1为层次结构模型的内部结构。Step S1 includes: establishing a required hierarchical structure model, and taking Table 1 as the internal structure of the hierarchical structure model.
表1Table 1
1.2构建判断矩阵1.2 Constructing the Judgment Matrix
S2步骤包括:确定所述目标层与准则层的的判断矩阵及所述准则层与指标层的判断矩阵,对体系内各指标aij两两分别对比,综合形成判断矩阵A:Step S2 includes: determining the judgment matrix of the target layer and the criterion layer and the judgment matrix of the criterion layer and the index layer, comparing the indicators a and ij in the system respectively, and comprehensively forming the judgment matrix A:
建目标层与准则层之间的判断矩阵:Build the judgment matrix between the target layer and the criterion layer:
式中:aij为衡量目标层/准则层第i个指标对目标层/准则层第j个指标的重要性的值,i∈[1,n],j∈[1,n],n为目标层中的指标数量和准则层中的指标数量的总和;In the formula: a ij is the value that measures the importance of the i-th index of the target layer/criteria layer to the j-th index of the target layer/criteria layer, i∈[1,n], j∈[1,n], n is The sum of the number of indicators in the target layer and the number of indicators in the criterion layer;
aij遵循正互反矩阵:a ij follows an inverse matrix:
式中,aji为衡量目标层/准则层第j个指标对目标层/准则层第i个指标的重要性的值。In the formula, a ji is a value that measures the importance of the j-th index of the target layer/criteria layer to the i-th index of the target layer/criteria layer.
aij和aef计算方式采用现有技术中的AHP计算准则公式,本实施例不再详细阐述。The calculation methods of a ij and a ef adopt the AHP calculation criterion formula in the prior art, which will not be described in detail in this embodiment.
构建指标层和准则层之间的判断矩阵:Build a judgment matrix between the indicator layer and the criterion layer:
式中:aef为衡量指标层/准则层第e个指标对指标层/准则层第f个指标的重要性的值,e∈[1,h],f∈[1,h],h为指标层中的指标数量和准则层中的指标数量的总和;In the formula: a ef is the value that measures the importance of the e-th index of the index layer/criteria layer to the f-th index of the index layer/criteria layer, e∈[1,h], f∈[1,h], h is The sum of the number of indicators in the indicator layer and the number of indicators in the criterion layer;
aef遵循正互反矩阵:a ef follows an inverse matrix:
式中,aef为衡量指标层/准则层第e个指标对指标层/准则层第f个指标的重要性的值。In the formula, a ef is a value that measures the importance of the e-th index of the index layer/criteria layer to the f-th index of the index layer/criteria layer.
1.3权重计算1.3 Weight calculation
根据1.2中基于层次分析法的电网运行异常指标朔因关联度评价方法,其S3步骤包括计算所述判断矩阵对应的权重系数,具体地根据方根法计算指标j权重wj为:According to the analytic hierarchy process-based method for evaluating the synergistic correlation degree of the power grid operation abnormality index, step S3 includes calculating the weight coefficient corresponding to the judgment matrix, and specifically calculating the weight w j of the index j according to the square root method is:
根据方根法计算指标f权重wf为:According to the square root method, the weight w f of the indicator f is calculated as:
1.4一致性检验1.4 Consistency check
根据1.3中基于层次分析法的电网运行异常指标朔因关联度评价方法,其S4步骤包括对判断矩阵对应的权重系数进行一致性检验,检验结果CR计算公式如下:According to the analytic hierarchy process-based method for evaluating the correlation degree of power grid operation abnormality index, the S4 step includes the consistency test of the weight coefficient corresponding to the judgment matrix. The calculation formula of the test result CR is as follows:
式中:CI为判断矩阵的一般一致性指标,RI为判断矩阵的随机一致性指标,λmax为判断矩阵最大特征根,计算公式如下:In the formula: CI is the general consistency index of the judgment matrix, RI is the random consistency index of the judgment matrix, λ max is the maximum characteristic root of the judgment matrix, and the calculation formula is as follows:
RI的值为AHP方法中的平均随机一致性指标RI标准值,具体如表2:The value of RI is the standard value of the average random consistency index RI in the AHP method, as shown in Table 2:
表2平均随机一致性指标RI标准值Table 2 Average random consistency index RI standard value
根据CR的计算结果,如果CR<0.1,则判定该判断矩阵通过一致性检验,否则就不具有满意一致性。According to the calculation result of CR, if CR<0.1, it is judged that the judgment matrix passes the consistency test, otherwise it does not have satisfactory consistency.
1.5权重排列1.5 Weight permutation
优先级降序排序:目标层、准则层和指标层;Descending order of priority: target layer, criterion layer and indicator layer;
根据1.4中,S5步骤包括综合权重系数的排列,计算某一层次所有因素相对重要性的权值,称为层次总排序,这一过程是从最高层次到最低层次依次进行的。根据排列结果来定位对电网影响最大的指标优先级,即朔因关联度最大的指标。According to 1.4, the S5 step includes the arrangement of the comprehensive weight coefficients, and calculates the weights of the relative importance of all factors at a certain level, which is called the total ordering of the levels. This process is carried out from the highest level to the lowest level. According to the ranking results, locate the priority of the index with the greatest impact on the power grid, that is, the index with the greatest synergistic correlation.
2.电网运行指标评价状态层次分析法结果分析2. Analysis of the results of the state analytic hierarchy process for the evaluation of power grid operation indicators
根据1.5中基于层次分析法的电网运行异常指标朔因关联度确定方法,得知权重排列顺序,当一致性检验结果越小,意味着该指标对电网运行异常的朔因关联度越大。因此在电网调度运行操作过程中,为了加快处理效率,缩短相应时间,可以根据上述结果优先侧重于解决朔因关联度大的异常指标。According to the method for determining the correlation degree of power grid abnormality index based on AHP in 1.5, the order of weights is known. When the consistency test result is smaller, it means that the index has a greater degree of correlation of the power grid abnormality. Therefore, in the process of power grid dispatching operation, in order to speed up the processing efficiency and shorten the corresponding time, we can give priority to solving the abnormal indicators with a large degree of correlation according to the above results.
以上所述仅是本发明的优选实施方式,应当指出,对于本技术领域的普通技术人员来说,在不脱离本发明技术原理的前提下,还可以做出若干改进和变形,这些改进和变形也应视为本发明的保护范围。The above are only the preferred embodiments of the present invention. It should be pointed out that for those skilled in the art, without departing from the technical principle of the present invention, several improvements and modifications can also be made. These improvements and modifications It should also be regarded as the protection scope of the present invention.
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