CN108764659A - A kind of distribution network reliability analysis of Influential Factors method based on Fuzzy Comprehensive Method - Google Patents
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Abstract
本发明提供一种基于模糊综合法的配电网可靠性影响因素分析方法,通过确立配电网供电可靠性影响因素的综合评价指标体系,构建基于模糊综合法分析配电网供电可靠性影响因素的综合评价模型,实现以较精确的方法完成对配电网的供电可靠性进行分析的目标,为配电网规划提供指导。该方法通过确定影响配电网供电可靠性的主要因素集,先利用层次分析法(AHP)对因素集进行分层,构造比较判断矩阵,完成层次单排序和总排序,再通过一致性检验,确定各项指标权重。同时在此基础上,利用模糊综合法对各单一指标进行模糊打分,确定供电可靠性与各影响因素之间的关联程度,最终得出对配电网可靠性的综合评价。
The present invention provides a fuzzy synthesis method-based analysis method for influencing factors of distribution network reliability. By establishing a comprehensive evaluation index system for influencing factors of distribution network power supply reliability, a fuzzy synthesis method is used to analyze distribution network power supply reliability influencing factors. Based on the comprehensive evaluation model, the goal of analyzing the power supply reliability of the distribution network can be achieved in a more accurate way, and it can provide guidance for the planning of the distribution network. By determining the main factor sets that affect the reliability of distribution network power supply, the method first uses the Analytic Hierarchy Process (AHP) to stratify the factor sets, constructs a comparative judgment matrix, completes the hierarchical single sorting and total sorting, and then passes the consistency test. Determine the weight of each indicator. At the same time, on this basis, use the fuzzy comprehensive method to fuzzy score each single index, determine the degree of correlation between the reliability of power supply and various influencing factors, and finally obtain a comprehensive evaluation of the reliability of the distribution network.
Description
技术领域technical field
本发明涉及配电网的供电可靠性影响因素的优化排序技术领域,尤其涉及一种基于模糊综合法的配电网可靠性影响因素分析方法。The invention relates to the technical field of optimizing and sorting factors affecting power supply reliability of distribution networks, in particular to a method for analyzing factors affecting reliability of distribution networks based on a fuzzy synthesis method.
背景技术Background technique
随着社会经济技术的进步,配电网可靠性所占的比例也越来越大,用户每度电的产值日益上升,单位停电量给用户和社会造成的经济损失越来越大,用户对供电可靠性的要求也越来越高,因此,有必要对配电网供电可靠性因素进行分析,找到对用户侧故障停电影响较重的因素,便于对配电网规划改造。With the advancement of social economy and technology, the reliability of the distribution network is also increasing, the output value of each unit of electricity for users is increasing, and the economic losses caused by unit power outages to users and society are increasing. The requirements for power supply reliability are getting higher and higher. Therefore, it is necessary to analyze the reliability factors of distribution network power supply to find out the factors that have a greater impact on user-side faults and power outages, so as to facilitate the planning and transformation of distribution network.
配电网供电可靠性影响因素主要包括外部因素和内部因素,外部因素主要包括自然环境和外力破坏因素,内部因素主要包括网架结构、设备装备水平、配电自动化水平和管理水平因素。其中网架结构指的是配电网的接线模式,接线模式主要有辐射型、环型、分段联络型和备用型接线;自然环境是配电网所处的天气状况、地理位置等因素;外力破坏因素主要包括人为责任(车辆破坏、施工、偷盗破坏等因素引起)和杂物(结婚彩带、风筝、鸟巢等因素引起);设备装备水平指的是设备绝缘、老化程度;配电自动化水平指的是具有遥测、遥信或遥控功能的开关上线率;管理水平指的是设备状态检修率和带电作业率。配电网供电可靠性影响因素甚多,对配电网供电可靠性进行计算时,往往只计其主要的影响因素,忽略其次要或微乎其微的影响因素,以方便可靠性计算与分析。然而,对配电网供电可靠性进行分析时,往往难以直接给出影响因素与可靠性指标的关联度精确解析模型,因此具有模糊性。Factors affecting power supply reliability of distribution network mainly include external factors and internal factors. External factors mainly include natural environment and external force damage factors. Internal factors mainly include grid structure, equipment level, distribution automation level and management level factors. Among them, the grid structure refers to the wiring mode of the distribution network. The wiring modes mainly include radiation type, ring type, segmented connection type and standby type connection; the natural environment refers to factors such as the weather conditions and geographical location of the distribution network; External force damage factors mainly include human responsibility (caused by factors such as vehicle damage, construction, and theft) and sundries (caused by factors such as wedding ribbons, kites, and bird's nests); the level of equipment equipment refers to the degree of insulation and aging of equipment; the level of power distribution automation Refers to the on-line rate of switches with telemetry, remote signaling or remote control functions; management level refers to the rate of equipment condition maintenance and live work. There are many factors affecting the reliability of distribution network power supply. When calculating the reliability of distribution network power supply, only the main influencing factors are often considered, and the secondary or negligible influencing factors are ignored to facilitate reliability calculation and analysis. However, when analyzing the reliability of distribution network power supply, it is often difficult to directly provide an accurate analytical model of the correlation between influencing factors and reliability indicators, so it is ambiguous.
目前采用模糊综合法分析配电网可靠性与其影响因素之间的关联度模型还没有出现。模糊综合法是根据模糊数学的隶属度理论把定性评价转化为定量评价,即用模糊数学对受到多种因素制约的事物或对象做出一个总体的评价。它具有结果清晰,系统性强的特点,能较好地解决模糊的、难以量化的问题,适合各种非确定性问题的解决,再结合层次分析法求权重,是目前分析配电网可靠性与其影响因素之间的关联度比较有效的方法。At present, the fuzzy comprehensive method is used to analyze the correlation degree model between the reliability of distribution network and its influencing factors. The fuzzy synthesis method transforms qualitative evaluation into quantitative evaluation according to the membership degree theory of fuzzy mathematics, that is, uses fuzzy mathematics to make an overall evaluation of things or objects restricted by various factors. It has the characteristics of clear results and strong system. It can better solve fuzzy and difficult-to-quantify problems, and is suitable for solving various non-deterministic problems. It is an effective method to correlate with its influencing factors.
发明内容Contents of the invention
本发明要解决的技术问题在于提供一种基于模糊综合法的配电网可靠性影响因素分析方法,实现以较精确的方法完成对配电网的供电可靠性进行分析的目标,为配电网规划提供指导。The technical problem to be solved by the present invention is to provide a fuzzy comprehensive method based on the distribution network reliability influencing factor analysis method, to achieve the goal of analyzing the power supply reliability of the distribution network in a more accurate way, and to provide Planning provides guidance.
所述的一种基于模糊综合法的配电网可靠性影响因素分析方法,包括以下步骤:The described method for analyzing factors affecting distribution network reliability based on fuzzy synthesis method comprises the following steps:
确定影响配电网供电可靠性的主要因素集,根据层次分析法对该因素集进行分层,每层有若干个评价指标,建立配电网可靠性影响因素评价指标体系,构造下层评价指标相对上层评价指标的判断矩阵,完成层次单排序、层次总排序和一致性校验,求得每层评价指标中各个指标的权重,利用模糊综合法对配电网供电可靠性影响因素进行总体评价,进而确定供电可靠性与各影响因素之间的关联程度,为配电网规划提供指导。Determine the main factor set that affects the power supply reliability of the distribution network, and stratify the factor set according to the analytic hierarchy process. The judgment matrix of the upper-level evaluation index completes single-level sorting, total-level sorting and consistency verification, obtains the weight of each index in each level of evaluation indicators, and uses the fuzzy synthesis method to conduct an overall evaluation of the factors affecting the reliability of distribution network power supply. Then determine the degree of correlation between power supply reliability and various influencing factors, and provide guidance for distribution network planning.
配电网供电可靠性受很多因素共同影响,例如网架结构、自然环境、外力破坏、设备装备水平、配电自动化水平、管理水平因素等,难以直接给出影响因素与可靠性指标的关联度精确解析模型,因此具有模糊性。所以本发明引入模糊的处理方法,利用模糊综合方法确定供电可靠性与各影响因素之间的关联程度,即确定各可靠性影响因素的权重。通过构造比较判断矩阵,完成层次单排序和总排序,然后通过一致性检验,最终确定各项指标权重。同时在此基础上,对各单一指标进行模糊打分,最终得出对配电网可靠性的综合评价。The reliability of distribution network power supply is affected by many factors, such as grid structure, natural environment, external force damage, equipment level, distribution automation level, management level factors, etc. It is difficult to directly give the correlation degree between the influencing factors and reliability indicators The model is parsed precisely and therefore has ambiguity. Therefore, the present invention introduces a fuzzy processing method, and uses a fuzzy synthesis method to determine the degree of correlation between power supply reliability and various influencing factors, that is, to determine the weight of each reliability influencing factor. By constructing a comparative judgment matrix, complete the hierarchical single sorting and total sorting, and then pass the consistency test to finally determine the weight of each index. At the same time, on this basis, each single index is fuzzy scored, and finally a comprehensive evaluation of the reliability of the distribution network is obtained.
附图说明Description of drawings
图1是本发明的一种基于模糊综合法的配电网可靠性影响因素分析方法的流程示意图,图2是层次分析法求权重的层次结构图。Fig. 1 is a schematic flow chart of a method for analyzing factors affecting distribution network reliability based on fuzzy synthesis method in the present invention, and Fig. 2 is a hierarchical structure diagram for calculating weights by analytic hierarchy process.
本发明的一种基于模糊综合法的配电网可靠性影响因素分析方法包括以下步骤:A method for analyzing factors affecting distribution network reliability based on fuzzy comprehensive method of the present invention comprises the following steps:
S1,确定影响配电网供电可靠性的主要因素集;S1, determine the set of main factors affecting the reliability of distribution network power supply;
本步骤中所述的影响配电网供电可靠性的主要因素集包括:外部因素和内部因素,设为集合A。The set of main factors affecting the reliability of distribution network power supply described in this step includes: external factors and internal factors, which are set as set A.
S2,根据AHP法对该因素集进行分层,每层有若干个评价指标,建立配电网可靠性影响因素评价指标体系;S2, according to the AHP method, the factor set is layered, each layer has several evaluation indicators, and the evaluation index system of factors affecting the reliability of the distribution network is established;
本步骤中,所述的内容包括:将因素集A进行分层,即A={A1、A2}={外部因素、内部因素},所述外部因素A1={A11、A12}={自然环境、外力破坏};所述内部因素A2={A21、A22、A23、A24}={网架结构、设备装备水平、配电自动化水平、管理水平},分层后的各个子因素代表本层若干个评价指标。In this step, the content includes: stratifying the factor set A, that is, A={A 1 , A 2 }={external factor, internal factor}, the external factor A 1 ={A 11 , A 12 }={natural environment, external force damage}; the internal factors A 2 ={A 21 , A 22 , A 23 , A 24 }={grid structure, equipment level, power distribution automation level, management level}, divided Each sub-factor after the layer represents several evaluation indicators of this layer.
S3,构造下层评价指标相对上层评价指标的判断矩阵,完成层次单排序、层次总排序和一致性校验,求得每层评价指标中各个指标的权重;S3. Construct the judgment matrix of the evaluation indicators of the lower layer relative to the evaluation indicators of the upper layer, complete the single-level sorting, total hierarchical sorting and consistency verification, and obtain the weight of each indicator in the evaluation indicators of each layer;
本步骤中,所述的内容包括:In this step, the content described includes:
(1)从准则层开始,构建下层评价指标相对上层评价指标的判断矩阵。判断矩阵可定义为:(1) Starting from the criterion layer, construct the judgment matrix of the evaluation indicators of the lower layer relative to the evaluation indicators of the upper layer. The judgment matrix can be defined as:
(1) (1)
式中代表本层评价指标中i元素与j元素比较得到的判断值,为本层评价指标的个数,即判断矩阵的阶数。In the formula Represents the judgment value obtained by comparing the i element and the j element in the evaluation index of this layer, is the number of evaluation indicators in this layer, that is, the judgment matrix of order.
(2)对每个判断矩阵计算最大特征根及其对应的特征向量,此特征向量就是各评价因素的重要性单排序,也即是权向量,经归一化后记为,即,。其中为本层评价指标的个数,为准则层相对目标层的权向量,为方案层相对准则层的权向量。(2) For each judgment matrix Calculate the largest eigenvalue and its corresponding eigenvector. This eigenvector is the single ranking of the importance of each evaluation factor, that is, the weight vector. After normalization, it is recorded as ,Right now , . in is the number of evaluation indicators in this layer, is the weight vector of the criterion layer relative to the target layer, is the weight vector of the scheme layer relative to the criterion layer.
(3)对每个判断矩阵做一致性检验,公式可记为:(3) Do a consistency check on each judgment matrix, the formula can be recorded as:
(2) (2)
其中, 为判断矩阵的最大特征值,n为判断矩阵的维数;CI、RI分别为一致性指标和平均随机一致性指标,RI为已知常数。如果CR<0.1,认为判断矩阵的一致性可以接受,如果不满足CR<0.1,则需调整判断矩阵元素的取值,直至具有满意的一致性为止。in, is the maximum eigenvalue of the judgment matrix, n is the dimension of the judgment matrix; CI and RI are the consistency index and the average random consistency index respectively, and RI is a known constant. If CR<0.1, it is considered that the consistency of the judgment matrix is acceptable. If CR<0.1 is not satisfied, the values of the elements of the judgment matrix need to be adjusted until the consistency is satisfactory.
(4)根据单排序权向量计算结果,计算方案层相对目标层的总排序的权向量,计为向量B,并用总排序一致性比率CR进行校验。(4) According to the calculation result of the single ranking weight vector, calculate the weight vector of the total ranking of the plan layer relative to the target layer, count it as vector B, and use the total ranking consistency ratio CR for verification.
(3) (3)
(4) (4)
其中,为准则层中第n个因素的权重值,、分别为方案层对准则层的层次单排序的一致性指标和平均随机一致性指标,当CR<0.1,认为层次总排序的结果是满意的。in, is the weight value of the nth factor in the criterion layer, , They are the consistency index and the average random consistency index of the single-ranking of the scheme layer to the criterion layer, respectively. When CR<0.1, the result of the total ranking of the hierarchy is considered satisfactory.
S3,利用模糊综合评价法对配电网供电可靠性影响因素进行总体评价,进而确定供电可靠性与各影响因素之间的关联程度;S3, using the fuzzy comprehensive evaluation method to conduct an overall evaluation of the factors affecting the reliability of power supply in the distribution network, and then determine the degree of correlation between the reliability of power supply and each influencing factor;
本步骤中,所述的内容包括:In this step, the content described includes:
1)建立因素集,为因素集A的子因素集,子因素集有若干个评价指标,即,根据S3步骤求得子因素集对A的影响权重,指标对子因素集的影响权重。1) Create a factor set , is a sub-factor set of factor set A, sub-factor set There are several evaluation indicators, namely , get the subfactor set according to the S3 step Influence weight on A ,index pair of factor sets The influence weight of .
2)对每个评价指标分成m个评语等级,即,每一个等级可对应一个模糊子集,具体等级可以依据评价内容用适当的语言进行描述。2) For each evaluation index Divided into m comment levels, namely , each level can correspond to a fuzzy subset, and the specific level can be described with appropriate language according to the evaluation content.
3)在构造了等级模糊子集后,要逐个对因素集中每个指标进行量化,即确定从单个指标来看被评事物对各等级模糊子集的隶属度,进而得到模糊关系矩阵R。3) After constructing the hierarchical fuzzy subset, each indicator in the factor set should be one by one To quantify, that is, to determine the degree of membership of the evaluated thing to each level of fuzzy subsets from a single indicator , and then get the fuzzy relationship matrix R.
(5) (5)
其中,表示从因素来看对等级模糊子集的隶属度。in, Indicates from the factor check it out Degree of membership of a class fuzzy subset.
4)在模糊综合评价中,根据上述层次分析法确定评价因素的权向量:。4) In the fuzzy comprehensive evaluation, the weight vector of the evaluation factors is determined according to the above-mentioned AHP: .
5)利用合适的算子将与各被评事物的进行合成,得到各被评事物的模糊综合评价结果向量。即:5) Use a suitable operator to convert with each evaluated thing Synthesize to get the fuzzy comprehensive evaluation result vector of each evaluated thing . which is:
(6) (6)
其中是由与的第列运算得到的,它表示被评事物从整体上看对等级模糊子集的隶属程度。in By and First It is obtained by column operation, which means that the evaluated thing is right as a whole The degree of membership of the hierarchical fuzzy subset.
确定供电可靠性影响因素所属的评语等级,即给出供电可靠性影响因素的最终得分,进而确定评价结果。Determining the evaluation level of the influencing factors of power supply reliability , that is, the final score of the influencing factors of power supply reliability is given, and then the evaluation result is determined.
以上所述的本发明实施方式,并不构成对本发明保护范围的限定。任何在本发明的精神和原则之内所作的修改、等同替换和改进等,均应包含在本发明的权利要求保护范围。The embodiments of the present invention described above are not intended to limit the protection scope of the present invention. Any modifications, equivalent replacements and improvements made within the spirit and principle of the present invention shall be included in the protection scope of the claims of the present invention.
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