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CN112487658B - Method, device and system for identifying key nodes of power grid - Google Patents

Method, device and system for identifying key nodes of power grid Download PDF

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CN112487658B
CN112487658B CN202011468470.2A CN202011468470A CN112487658B CN 112487658 B CN112487658 B CN 112487658B CN 202011468470 A CN202011468470 A CN 202011468470A CN 112487658 B CN112487658 B CN 112487658B
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CN112487658A (en
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熊安萍
彭佳
陈鉴
苏贞
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Chongqing University of Post and Telecommunications
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    • Y04SSYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
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Abstract

The invention belongs to the field of electric power data processing, and relates to a method, a device and a system for identifying key nodes of a power grid; the method comprises the steps of constructing a power-efficient power grid topological structure according to validity rules of power node injection power and line transmission power in a power grid; calculating the average electrical distance and the electrical betweenness center of the power nodes in the power grid topological structure, respectively distributing weight vectors, and constructing a criticality evaluation model of the nodes; and calculating a power node core value according to the criticality evaluation model, performing recursive network decomposition according to the interval to which the power node core value belongs, and taking the power node contained in the last layer of sub-network as an identified key node set. According to the method, the rule characteristics of the large-scale power system are excavated according to a series of rules, the standard power grid topological structure is constructed, the network characteristics and the electrical characteristics of the power system are comprehensively considered, a multi-factor-based power grid key node identification model is established, and the efficiency and the accuracy of key node identification in the complex power grid system are improved.

Description

一种电网关键节点的识别方法、装置及系统A method, device and system for identifying key nodes of power grid

技术领域technical field

本发明属于电力数据处理领域,涉及一种电网关键节点的识别方法、装置及系统。The invention belongs to the field of power data processing, and relates to a method, device and system for identifying key nodes of a power grid.

背景技术Background technique

近年来,多种新兴科技的迅猛发展,让人们的生活水准有了质的飞跃。电力系统是所有科学技术发展的重要基建设施,在互联网、通信网、交通网等其他社会网络的发展过程中做出了卓越贡献。随着电网规模的不断扩大和组件集成度的提高,电网的结构特性也变得越来越复杂,这种复杂性的提升在维持电力高效输送方面发挥了显著作用。虽然现代电网已经形成了电压等级高、远距离传输的跨区域大电网格局,基本实现了网络架构的互联与互通,但是电网的安全稳定运行,仍然是令人头疼和难以解决的一大问题。电力系统的安全稳定运行,取决于多个因素,例如电网自身的硬件设备、电网周边环境的气候等,其中,电网中某些关键部位的安全性更是不容忽视的因素。因此,准确识别出电网系统中的关键节点或线路,并对其采取一定的防护措施,是维持电力系统鲁棒性的重要手段。In recent years, the rapid development of various emerging technologies has brought a qualitative leap in people's living standards. The power system is an important infrastructure for the development of all science and technology, and has made outstanding contributions to the development of other social networks such as the Internet, communication networks, and transportation networks. As the scale of the grid continues to expand and the integration of components increases, the structural characteristics of the grid become more and more complex, and this increase in complexity plays a significant role in maintaining the efficient transmission of power. Although the modern power grid has formed a large cross-regional power grid pattern with high voltage level and long-distance transmission, and basically realized the interconnection and interoperability of the network architecture, the safe and stable operation of the power grid is still a major headache and difficult to solve. The safe and stable operation of the power system depends on many factors, such as the hardware equipment of the power grid itself, the climate of the surrounding environment of the power grid, etc. Among them, the safety of some key parts of the power grid is a factor that cannot be ignored. Therefore, it is an important means to maintain the robustness of the power system to accurately identify the key nodes or lines in the power grid system and take certain protective measures.

以往对于大面积停电事故的研究多数是基于还原论思想,其本质是首先通过简化研究对象来发现规律,然后再还原系统规律,通常是局限于元件自身的物理性能来进行理论研究的。还原论方法通常是将电网描述成一组多维的微分代数方程,再通过计算机仿真求解,一定程度上忽略了整个系统内部的演化特性,因此需要一个新的思路来研究电网特性。复杂网络理论是将母线抽象为网络节点,将传输电线抽象为网络链路,从而将电网视为具有单位或个人之间交互作用的网络,为研究电网结构和级联反应过程提供了一个新的思路。Most of the previous researches on large-scale power outages are based on reductionism. The essence is to first discover the laws by simplifying the research objects, and then restore the system laws. Usually, theoretical research is limited to the physical properties of the components themselves. The reductionism method usually describes the power grid as a set of multi-dimensional differential-algebraic equations, and then solves them through computer simulation, ignoring the internal evolution characteristics of the entire system to a certain extent, so a new idea is needed to study the power grid characteristics. The complex network theory abstracts the busbars as network nodes and the transmission wires as network links, so that the power grid is regarded as a network with interactions between units or individuals, which provides a new way to study the structure of the power grid and the cascading reaction process. ideas.

基于已有的技术研究可以发现,很多大规模电网故障事故都是由于该系统中的某些特殊节点或线路发生故障引起的。因此,准确识别出电网系统中的关键节点或线路并采取针对性保护措施,是预防电网发生大规模级联故障的有效手段。目前,大多数对电网系统的关键节点识别主要是从电网拓扑结构的角度出发,结合复杂网络理论中的通用网络模型(如小世界网络模型、无标度网络模型和规则网络模型等)和常见指标(如节点的聚类系数、度数等)来辨识该电力系统中的关键节点。但是,在复杂的电力系统中,节点在电网中的关键程度不能仅从拓扑结构的角度去进行分析,更多的需要考虑从电力系统的实际物理属性,例如电网线路功率的有向传输、某个节点状态的变化对整个电网潮流产生的影响等。Based on the existing technical research, it can be found that many large-scale power grid failure accidents are caused by the failure of some special nodes or lines in the system. Therefore, accurately identifying the key nodes or lines in the power grid system and taking targeted protection measures is an effective means to prevent large-scale cascading failures in the power grid. At present, most of the key node identification of power grid system is mainly from the perspective of power grid topology, combined with general network models in complex network theory (such as small-world network model, scale-free network model and regular network model, etc.) and common network models. Indicators (such as node clustering coefficient, degree, etc.) are used to identify key nodes in the power system. However, in a complex power system, the criticality of nodes in the power grid cannot be analyzed only from the perspective of topology, but more needs to be considered from the actual physical properties of the power system, such as the directional transmission of power in the power grid, certain The influence of the change of the state of each node on the power flow of the entire power grid, etc.

另外由于传统的排序算法(例如k_shell算法、TOPSIS算法、Pagerank算法等)在很多实际应用场景中具有一定的局限性,一方面现有技术只考虑网络拓扑的基本特性,没有与实际的电网场景相结合,例如缺少对功率传输的考虑,因此需要对现有技术做出一定的改进,才能更准确地识别出电网系统中的关键节点。In addition, traditional sorting algorithms (such as k_shell algorithm, TOPSIS algorithm, Pagerank algorithm, etc.) have certain limitations in many practical application scenarios. On the one hand, the existing technology only considers the basic characteristics of the network topology, and is not related to the actual power grid scenario. Combined, for example, there is a lack of consideration for power transmission, so certain improvements need to be made to the existing technology in order to more accurately identify key nodes in the grid system.

发明内容SUMMARY OF THE INVENTION

有鉴于此,本发明的目的在于提供一种基于改进k_shell算法的电网关键节点识别方法,结合电力系统的网络拓扑特性和电气特性,建立多因素评估节点关键度的新模型,同时通过对k_shell算法进行改进,提出一种电网关键节点的识别方法、装置及系统。In view of this, the purpose of the present invention is to provide a method for identifying key nodes in a power grid based on an improved k_shell algorithm, which combines the network topology and electrical characteristics of the power system to establish a new model for evaluating node criticality with multiple factors. To improve, a method, device and system for identifying key nodes of power grid are proposed.

本发明解决上述技术问题所采用的方案包括:The scheme adopted by the present invention to solve the above-mentioned technical problems includes:

在本发明的第一方面,本发明提供了一种电网关键节点的识别方法,所述识别方法包括以下步骤:In a first aspect of the present invention, the present invention provides a method for identifying key nodes of a power grid, the identifying method comprising the following steps:

步骤1)按照电网中电力节点注入功率和线路传输功率的有效性规则,构建出功率有效性的电网拓扑结构;Step 1) According to the validity rules of the power injection power of the power node and the transmission power of the line in the power grid, the power grid topology structure of the power validity is constructed;

步骤2)在所述电网拓扑结构中,计算出电力节点的平均电气距离以及电气介数中心,并分别分配权重向量,构建出节点的关键度评估模型;Step 2) in the power grid topology structure, calculate the average electrical distance and electrical betweenness center of the power node, and distribute the weight vector respectively, and construct the criticality evaluation model of the node;

步骤3)按照所述关键度评估模型计算出电力节点核值,根据电力节点核值所属的区间进行递归网络分解,将最后一层子网络所包含的电力节点作为识别出的关键节点集合。Step 3) Calculate the power node core value according to the criticality evaluation model, perform recursive network decomposition according to the interval to which the power node core value belongs, and use the power nodes included in the last layer of sub-networks as the identified key node set.

在本发明的第二方面,本发明还提供了一种电网关键节点的识别装置,所述识别装置包括:In a second aspect of the present invention, the present invention also provides an identification device for a key node of a power grid, the identification device comprising:

拓扑结构构建模块,用于按照电网中电力节点注入功率和线路传输功率的有效性规则,构建出功率有效性的电网拓扑结构;The topology structure building module is used to construct a power efficient grid topology structure according to the validity rules of power injection power and line transmission power in the power grid;

关键度评估模块,用于计算出电力节点的平均电气距离以及电气介数中心,并分别分配权重向量,构建出关键度评估模型;The criticality evaluation module is used to calculate the average electrical distance and electrical betweenness center of power nodes, and assign weight vectors respectively to construct a criticality evaluation model;

核值计算模块,用于根据所述关键度评估模型,计算出每个电力节点的核值;a core value calculation module, configured to calculate the core value of each power node according to the criticality evaluation model;

区间划分模块,用于按照电力节点的核值划分出多个区间,并确定其中的最小区间;The interval division module is used to divide a plurality of intervals according to the core value of the power node, and determine the minimum interval among them;

拓扑更新模块,用于删除最小区间内的电力节点,更新电网拓扑结构后,返回所述核值计算模块;a topology update module, used for deleting the power nodes in the minimum interval, and returning to the core value calculation module after updating the grid topology structure;

节点输出模块,用于输出最后一个区间的电力节点,即为关键点集合。The node output module is used to output the power node of the last interval, which is the set of key points.

在本发明的第三方面,本发明还提供了一种电网关键节点的识别系统,所述识别系统包括:In a third aspect of the present invention, the present invention also provides an identification system for key nodes of a power grid, the identification system comprising:

数据采集模块,用于采集电网中电力节点的电力数据;The data acquisition module is used to collect the power data of the power nodes in the power grid;

电网关键节点的识别装置,用于对采集到的电力节点的电力数据进行识别,输出关键点集合。The identification device of the key node of the power grid is used to identify the collected power data of the power node, and output a set of key points.

本发明的有益效果:Beneficial effects of the present invention:

1、本发明按照电网中电力节点注入功率和线路传输功率的有效性规则,构建出了一种具有功率有效性的电网拓扑结构,本发明所构建的电网拓扑结构能够反映出复杂电力系统的电气特性,并排除其他干扰因素,相对于现有的电网拓扑结构而言,一定程度的提高了电网结构的运算效率,从而能够快速且准确的提取出电网中的关键节点。1. The present invention constructs a grid topology structure with power validity according to the validity rules of power node injection power and line transmission power in the power grid. The grid topology structure constructed by the present invention can reflect the electrical properties of complex power systems. Compared with the existing power grid topology, the computing efficiency of the power grid structure is improved to a certain extent, so that the key nodes in the power grid can be quickly and accurately extracted.

2、本发明按照电力节点的平均路径长度和介数中心,结合电气特性,提出了一种新的节点关键度评估模型,并利用层次分析法训练得出关键度评估模型的权重向量;该评估模型同时考虑了电力系统的网络特性和电气特性,能够更加客观反映电力节点的关键程度;2. The present invention proposes a new node criticality evaluation model according to the average path length and betweenness center of the power node, combined with electrical characteristics, and uses the AHP to train to obtain the weight vector of the criticality evaluation model; the evaluation The model also considers the network characteristics and electrical characteristics of the power system, which can more objectively reflect the criticality of power nodes;

3、本发明按照关键度评估模型重新定义出节点的核值,对所有节点的核值进行区间划分,按照节点核值所属的空间进行递归网络分解,将最后一层子网络包含的节点作为最终的关键点集合。该方法改进了k_shell算法在电网应用场景下的局限性,能够提升识别电网关键节点的准确性。3. The present invention redefines the core values of nodes according to the criticality evaluation model, divides the core values of all nodes into intervals, performs recursive network decomposition according to the space to which the core values of the nodes belong, and takes the nodes contained in the last layer of sub-networks as the final layer. set of key points. This method improves the limitation of k_shell algorithm in power grid application scenarios, and can improve the accuracy of identifying key nodes in the power grid.

附图说明Description of drawings

为了使本发明的目的、技术方案和优点更加清楚,下面将结合附图对本发明作优选的详细描述,其中:In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be preferably described in detail below with reference to the accompanying drawings, wherein:

图1为本发明构建的电网关键节点识别模型的总体结构图;Fig. 1 is the overall structure diagram of the key node identification model of the power grid constructed by the present invention;

图2为本发明实施例的电网关键节点的识别方法流程图;2 is a flowchart of a method for identifying key nodes of a power grid according to an embodiment of the present invention;

图3为本发明实施例所采用的层次分析法分配权重的流程图;Fig. 3 is the flow chart of the distribution weight of the analytic hierarchy process adopted in the embodiment of the present invention;

图4为本发明实施例采用改进k_shell算法的关键节点集合筛选流程图;Fig. 4 is the key node set screening flow chart of the embodiment of the present invention adopting the improved k_shell algorithm;

图5为本发明实施例的电网关键节点的识别装置结构图。FIG. 5 is a structural diagram of an apparatus for identifying key nodes of a power grid according to an embodiment of the present invention.

具体实施方式Detailed ways

下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

本发明是基于复杂网络理论对大型电力系统的特性进行研究,通过综合考虑了电力系统的网络特性和电气特性,结合基于多因素改进的排序类算法,从而能够较准确地识别处电力系统中的关键节点。The present invention studies the characteristics of large-scale power systems based on complex network theory. By comprehensively considering the network characteristics and electrical characteristics of the power system, combined with a sorting algorithm based on multi-factor improvement, it can more accurately identify the power system in the power system. key node.

图1是本发明采用的节点识别模型架构图,如图1所示,本发明中将电力系统采集到的电力数据进行抽象和规范化处理后,按照电力节点注入功率和线路传输功率的有效性规则,形成了电网拓扑结构,其中电网拓扑结构中的节点包括发电节点、中间节点(传输节点)和负荷节点,在所述电网拓扑结构中,计算出电力节点的平均电气聚合以及电气介数中心,按照层次分析法为他们分配权重,从而构建出新的关键度评估模型;按照区间划分法改进的k-shell算法对网络进行分解,从而提取出关键节点集合。Fig. 1 is an architecture diagram of the node identification model adopted by the present invention. As shown in Fig. 1, after abstracting and normalizing the power data collected by the power system in the present invention, the power injection power of the power node and the validity rules of the line transmission power are used in accordance with the present invention. , a power grid topology structure is formed, wherein the nodes in the power grid topology structure include power generation nodes, intermediate nodes (transmission nodes) and load nodes. In the power grid topology structure, the average electrical aggregation of the power nodes and the electrical betweenness center are calculated, According to the analytic hierarchy process, the weights are assigned to them, so as to construct a new criticality evaluation model; the network is decomposed according to the improved k-shell algorithm of the interval division method to extract the key node set.

图2是本发明的一种电网关键节点的识别方法流程图,如图2所示,所述识别方法包括以下步骤:FIG. 2 is a flowchart of a method for identifying key nodes of a power grid according to the present invention. As shown in FIG. 2 , the identifying method includes the following steps:

步骤1)按照电网中电力节点注入功率和线路传输功率的有效性规则,构建出功率有效性的电网拓扑结构;Step 1) According to the validity rules of the power injection power of the power node and the transmission power of the line in the power grid, the power grid topology structure of the power validity is constructed;

本实施例中,将电力系统中的发电站、变电站或中间连接装置抽象为电力网络的电力节点,将输电传输线路作为网络的电力边;基于电网中电力节点注入功率和线路传输功率的有效性规则,将电网中的电力节点进行分类,并规定每两个电力节点之间最多只有一条边相连,从而构建功率有效性电网拓扑结构。In this embodiment, the power station, substation or intermediate connection device in the power system is abstracted as the power node of the power network, and the transmission line is used as the power edge of the network; based on the validity of the power injected by the power node in the power grid and the power transmitted by the line According to the rules, the power nodes in the grid are classified, and it is stipulated that every two power nodes are connected by at most one edge, so as to construct a power efficient grid topology.

其中,节点注入功率的有效性规则是指,对于整个电网系统,根据节点的净注入功率值,将节点细分为发电节点、传输节点和负荷节点;具体的,对于整个电网系统,若该节点的净注入功率为正值,则该节点是向电网注入有功功率的发电节点;若该节点的净注入功率为负值,则该节点是向电网接收功率的负荷节点;若该节点的净注入功率为零,则该节点是传输节点。Among them, the validity rule of node injection power refers to that, for the entire power grid system, the node is subdivided into power generation nodes, transmission nodes and load nodes according to the net injected power value of the node; specifically, for the entire power grid system, if the node is If the net injection power of the node is positive, the node is a power generation node that injects active power into the grid; if the net injection power of the node is negative, the node is a load node that receives power from the grid; If the power is zero, the node is a transmitting node.

电路传输的功率有效性规则是指,采取正向叠加和反向抵消的策略,规定节点对之间只有一条传输功率为非负值的边相连;具体的,若电力节点对之间有多条线路相连,由于每条线路传输的功率大小和方向都可能存在差异,因此采取正向叠加和反向抵消的策略对多条线路的传输功率进行处理,最终规定每两个电力节点之间最多只有一条传输功率为非负值的边相连。The power efficiency rule of circuit transmission means that the strategy of forward superposition and reverse cancellation is adopted, and it is stipulated that only one edge with non-negative transmission power is connected between node pairs; The lines are connected. Since there may be differences in the magnitude and direction of the power transmitted by each line, the strategy of forward superposition and reverse cancellation is adopted to process the transmission power of multiple lines. An edge with a non-negative transmit power is connected.

步骤2)在所述电网拓扑结构中,计算出电力节点的平均电气距离以及电气介数中心,并分别分配权重向量,构建出节点的关键度评估模型;Step 2) in the power grid topology structure, calculate the average electrical distance and electrical betweenness center of the power node, and distribute the weight vector respectively, and construct the criticality evaluation model of the node;

首先,对于电力节点的平均电气距离,在前述获得电网拓扑结构基础上,考虑电力节点的平均路径长度,结合电网的电气特性,其计算方法参考如下:First of all, for the average electrical distance of power nodes, on the basis of obtaining the grid topology structure above, considering the average path length of power nodes and combining the electrical characteristics of the power grid, the calculation method is as follows:

基于最短路径算法,求解出任意电力节点对ij之间的最短路径i,k1,k2,…,km,j,以及最短路径的长度,基于电力节点本身的负载和线路传输功率求解出传输功率的总和Pij,表示为:Based on the shortest path algorithm, the shortest path i,k 1 , k 2 ,...,km ,j between any power node pair ij is solved, and the length of the shortest path is solved based on the load of the power node itself and the transmission power of the line. The sum of the transmission powers P ij , expressed as:

Figure BDA0002835387690000061
Figure BDA0002835387690000061

其中,wij是指电力节点i和电力节点j之间的实际负载,被定义为wij=min(Si,Sj),且wii=0,Si是指电力节点i的额定发电容量,Sj是电力节点j的额定发电容量。Among them, w ij refers to the actual load between power node i and power node j, which is defined as w ij =min(S i ,S j ), and w ii =0, S i refers to the rated power generation of power node i capacity, S j is the rated power generation capacity of power node j.

其中,所述最短路径算法可以采用floyd-warshall算法,弗洛伊德算法是一种利用动态规划的思想去找给定的加权图中多源点之间的最短路径算法,能够更为准确的求取出任意电力节点对ij之间的最短路径。Among them, the shortest path algorithm can use the floyd-warshall algorithm, and the Floyd algorithm is a kind of algorithm that uses the idea of dynamic programming to find the shortest path algorithm between multiple source points in a given weighted graph, which can more accurately Find the shortest path between any pair of power nodes ij.

任意节点对之间的电气距离dij是指两节点间最短路径的功率总和与长度之比,定义如下:The electrical distance d ij between any pair of nodes refers to the ratio of the power sum to the length of the shortest path between two nodes, which is defined as follows:

Figure BDA0002835387690000062
Figure BDA0002835387690000062

其中,Mij是指电力节点i和电力节点j之间的最短或最有效路径的长度,若电力节点i和电力节点j之间不可达,则有Mij=+∞,且有Mii=1。Among them, M ij refers to the length of the shortest or most efficient path between power node i and power node j. If power node i and power node j are unreachable, then M ij =+∞, and M ii = 1.

在电力节点之间的最短路径的基础上,本发明给出了电力节点的平均电气距离的定义,表示为:On the basis of the shortest path between power nodes, the present invention provides the definition of the average electrical distance of power nodes, which is expressed as:

Figure BDA0002835387690000063
Figure BDA0002835387690000063

其中,Di表示电力节点i的平均电气距离;V表示电网中电力节点集合;N是指电网中电力节点总数。Among them, D i represents the average electrical distance of power node i; V represents the set of power nodes in the power grid; N refers to the total number of power nodes in the power grid.

其次,在求解出电力节点的平均电气距离后,仍然基于电网拓扑结构,对于电气节点介数中心,结合电网的电气特性,本发明分别定义出三种电力节点的电气介数中心;Secondly, after solving the average electrical distance of the power nodes, still based on the topology of the power grid, for the electrical betweenness center of the electrical node, combined with the electrical characteristics of the power grid, the present invention defines the electrical betweenness center of three power nodes respectively;

一般的复杂网络中节点的介数中心通常是用来表征该节点在整个网络中的关键程度,具体取决于该网络系统中的最短路径或最有效路径经过该节点的次数,因此,传统电网中的介数中心定义如下:The betweenness center of a node in a general complex network is usually used to characterize the criticality of the node in the entire network, depending on the number of times the shortest path or the most efficient path in the network system passes through the node. The betweenness center of is defined as follows:

Figure BDA0002835387690000071
Figure BDA0002835387690000071

本发明对其进行归一化处理后,表示为:After the present invention normalizes it, it is expressed as:

Figure BDA0002835387690000072
Figure BDA0002835387690000072

其中,σij是电力节点i和电力节点j之间最短路径或最有效路径的数量,σij(k)是电力节点i和电力节点j之间最短路径或最有效路径中通过电力节点k的数量,G、L分别指发电节点集合与负荷节点集合。where σ ij is the number of shortest or most efficient paths between power node i and power node j, and σ ij (k) is the number of shortest or most efficient paths between power node i and power node j through power node k Quantity, G and L respectively refer to the set of power generation nodes and the set of load nodes.

在上述对介数中心指标进行归一化的基础上,本发明还结合电网的电气和有向传输特性,分别针对发电节点、负荷节点和中间节点等三种情况,分别定义电气介数中心指标,表示如下:On the basis of the above normalization of the betweenness center index, the present invention also combines the electrical and directional transmission characteristics of the power grid to define the electrical betweenness center index for three situations, such as power generation nodes, load nodes, and intermediate nodes, respectively. , expressed as follows:

Figure BDA0002835387690000073
Figure BDA0002835387690000073

其中,Pij是指电力节点i和电力节点j之间的通过最短或最有效路径传输的功率总和,G、L分别指发电节点集合与负荷节点集合;其中上式中

Figure BDA0002835387690000075
则表示电力节点k属于中间节点集合;考虑到电网中电力节点的有向性,Pki表示发电节点k和其他电力节点i之间的通过最短或最有效路径传输的功率总和;Pik表示其他电力节点i和负荷节点k之间的通过最短或最有效路径传输的功率总和。Among them, P ij refers to the sum of power transmitted between power node i and power node j through the shortest or most efficient path, G and L refer to the set of power generation nodes and the set of load nodes respectively; where in the above formula
Figure BDA0002835387690000075
Then it means that the power node k belongs to the set of intermediate nodes; considering the directionality of the power nodes in the power grid, P ki represents the sum of the power transmitted between the power generation node k and other power nodes i through the shortest or most efficient path; P ik represents the other The sum of the power transmitted over the shortest or most efficient path between power node i and load node k.

在求解出电力节点的平均电气距离以及电气介数中心后,本发明还基于层次分析法,分别对平均电气距离以及电气介数中心分配权重向量

Figure BDA0002835387690000074
并根据节点关键度设置的客观原则,构建新的节点关键度评估模型。After the average electrical distance and the electrical betweenness center of the power nodes are solved, the present invention also assigns weight vectors to the average electrical distance and the electrical betweenness center based on the AHP.
Figure BDA0002835387690000074
And according to the objective principle of node criticality setting, a new node criticality evaluation model is constructed.

图3给出了本发明实施例所采用的层次分析法分配权重的流程图,如图3所示,分配过程包括以下内容:Fig. 3 provides the flow chart of the weight distribution method of the AHP adopted in the embodiment of the present invention, as shown in Fig. 3, the distribution process includes the following content:

建立层次结构模型,即输入电力节点的平均电气距离和电气介数中心的决策准则;Establish a hierarchical structure model, that is, input the decision criteria of the average electrical distance of the power nodes and the center of electrical betweenness;

构造出判断矩阵,采用相对尺度,把所述决策准则进行两两比较,从而得出判断矩阵A:A judgment matrix is constructed, and relative scales are used to compare the decision criteria in pairs, so as to obtain a judgment matrix A:

Figure BDA0002835387690000081
Figure BDA0002835387690000081

其中aij是指决策准则间两两比较的标度值。为了验证该标度值设置的合理性,通过定义一致性比率来检验构造的判断矩阵是否具有一致性,从而确定指标的权重向量;接下来需要对矩阵A进行一致性检验。where a ij refers to the scale value of the pairwise comparison between the decision criteria. In order to verify the rationality of the scale value setting, the consistency ratio is defined to check whether the constructed judgment matrix is consistent, so as to determine the weight vector of the index; then, the consistency test of matrix A is required.

若A满足

Figure BDA0002835387690000082
则A是一致性矩阵,且秩为1,唯一非零特征值为λ,将该特征值所对应的特征向量进行归一化处理之后作为权重向量ψ;若A不是一致性矩阵,则需要检验A的不一致性是否在合理范围内。取A的最大特征值λ,定义一致性指标CI:If A satisfies
Figure BDA0002835387690000082
Then A is a consistency matrix with a rank of 1, the only non-zero eigenvalue is λ, and the eigenvector corresponding to the eigenvalue is normalized as a weight vector ψ; if A is not a consistency matrix, it needs to be checked Whether the inconsistency of A is within reason. Take the largest eigenvalue λ of A to define the consistency index CI:

Figure BDA0002835387690000083
Figure BDA0002835387690000083

为了更为客观地衡量CI的大小,随机构造m个一致性矩阵,引入随机一致性指标RI:In order to measure the size of CI more objectively, m consistency matrices are randomly constructed, and the random consistency index RI is introduced:

Figure BDA0002835387690000084
Figure BDA0002835387690000084

则可以定义一致性比率:Then the consistency ratio can be defined:

Figure BDA0002835387690000085
Figure BDA0002835387690000085

只有满足CR<0.1时,认为A具有满意的一致性,取A的最大特征值λ对应的特征向量进行归一化操作,从而得到了权向量ψ。如果不满足CR<0.1,则需要重新设置判断矩阵A的标度值,直至得到符合条件的判断矩阵。Only when CR<0.1 is satisfied, it is considered that A has satisfactory consistency, and the eigenvector corresponding to the largest eigenvalue λ of A is normalized to obtain the weight vector ψ. If CR<0.1 is not satisfied, the scale value of the judgment matrix A needs to be reset until a qualified judgment matrix is obtained.

步骤3)按照所述关键度评估模型计算出电力节点核值,根据电力节点核值所属的区间进行递归网络分解,将最后一层子网络所包含的电力节点作为识别出的关键节点集合。Step 3) Calculate the power node core value according to the criticality evaluation model, perform recursive network decomposition according to the interval to which the power node core value belongs, and use the power nodes included in the last layer of sub-networks as the identified key node set.

图4是本发明实施例所采用的关键节点集合筛选流程图;如图4所示,本发明基于改进k_shell算法进行网络分解,最终识别出该电力系统的关键节点集合,主要需要进行以下步骤:Fig. 4 is the key node set screening flow chart adopted in the embodiment of the present invention; as shown in Fig. 4, the present invention performs network decomposition based on the improved k_shell algorithm, and finally identifies the key node set of the power system, and mainly needs to perform the following steps:

1)在使用了层次分析法的基础上,得到了电力节点平均电气距离和电气介数中心的权重向量

Figure BDA0002835387690000091
根据节点的平均电气距离越小且电气介数中心越大,说明节点对于电网系统越关键的原则,构建新的节点关键度评估模型:1) On the basis of using the Analytic Hierarchy Process, the weight vector of the average electrical distance of power nodes and the center of electrical betweenness is obtained
Figure BDA0002835387690000091
According to the principle that the smaller the average electrical distance of the node and the larger the electrical betweenness center, the more critical the node is to the power grid system, a new node criticality evaluation model is constructed:

Figure BDA0002835387690000092
Figure BDA0002835387690000092

其中,K(i)表示电力节点i的关键度;

Figure BDA0002835387690000093
表示第一权重向量,Di表示电力节点i的平均电气距离,
Figure BDA0002835387690000094
表示第二权重向量;Be(i)表示电力节点i的电气介数中心。Among them, K(i) represents the criticality of power node i;
Figure BDA0002835387690000093
represents the first weight vector, D i represents the average electrical distance of power node i,
Figure BDA0002835387690000094
represents the second weight vector; Be ( i ) represents the electrical betweenness center of power node i.

按照所述关键度评估模型,定义出新的节点核值计算公式表示为:According to the criticality evaluation model, a new calculation formula of node core value is defined as:

Figure BDA0002835387690000095
Figure BDA0002835387690000095

其中,KS(i)表示电力节点i的核值;Kmin表示电网中所有节点的关键度的最小值;Kmax表示电网中所有电力节点的关键度的最大值;K(i)表示电力节点i的关键度。Among them, KS(i) represents the core value of power node i; Kmin represents the minimum value of the criticality of all nodes in the power grid; Kmax represents the maximum value of the criticality of all power nodes in the power grid; K(i) represents the power node the criticality of i.

本实施例采用最大最小归一化方式,将关键度值进行等比例缩放作为新的节点核值,将核值固定在[0,1]区间后,能够增强核值的集中分布程度,便于后续划分出空间进行递归网络分解。In this embodiment, the maximum and minimum normalization method is adopted, and the key value is proportionally scaled as the new node core value. After the core value is fixed in the [0,1] interval, the centralized distribution degree of the core value can be enhanced, which is convenient for subsequent Divide the space for recursive network decomposition.

2)计算出每个电力节点的核值,并将所有的核值按照合理的差值划分为l1个区间(Π12…,Πl1),去掉那些核值属于最小区间

Figure BDA0002835387690000096
的电力节点,节点去除后,所述电网拓扑结构中剩下一个子图,重新计算子图中各电力节点核值,如果该子图中依然有电力节点的核值属于
Figure BDA0002835387690000097
区间内,则继续删除这些电力节点,直到最后剩下一个子图G1中所有电力节点的核值均不在
Figure BDA0002835387690000098
区间内,那些被删除的电力节点则属于S(1)集合中;2) Calculate the core value of each power node, and divide all the core values into 11 intervals (Π 1 , Π 2 ..., Π l1 ) according to reasonable differences, and remove those core values that belong to the minimum interval
Figure BDA0002835387690000096
After the node is removed, there is a subgraph left in the grid topology structure, and the core value of each power node in the subgraph is recalculated. If the core value of the power node in the subgraph still belongs to
Figure BDA0002835387690000097
In the interval, continue to delete these power nodes until the last remaining subgraph G 1 has no core value of all power nodes in the
Figure BDA0002835387690000098
In the interval, those deleted power nodes belong to the S(1) set;

在一些实施例中,将关键度评估模型所计算出的关键值直接作为电力节点核值的区间划分指标;其中核值的空间的划分标准包括计算出所有节点的关键值,按照关键值的分布情况进行等级划分,其中这个区间的范围取决于分布的密集程度,若分布较为密集,则将空间范围划分为小空间,否则可以划分出大空间。In some embodiments, the key value calculated by the criticality evaluation model is directly used as the interval division index of the core value of the power node; wherein the division standard of the core value space includes calculating the key value of all nodes, according to the distribution of the key value. If the distribution is relatively dense, the space range is divided into small spaces, otherwise, large spaces can be divided.

在另一些实施例中,除了上述按照关键值进行划分以外,参照上述实施例,本实施例也可以按照本发明所提供的新的核值计算公式来划分出核值空间。In other embodiments, in addition to the above-mentioned division according to key values, referring to the above-mentioned embodiments, this embodiment can also divide the kernel value space according to the new kernel value calculation formula provided by the present invention.

3)跟上述步骤类似,删除核值属于

Figure BDA0002835387690000101
区间内的电力节点,其中
Figure BDA0002835387690000102
Figure BDA0002835387690000103
最后得到子图G2,G2中所有电力节点的核值均大于区间
Figure BDA0002835387690000104
内的值;3) Similar to the above steps, deleting the kernel value belongs to
Figure BDA0002835387690000101
power nodes within the interval, where
Figure BDA0002835387690000102
Full
Figure BDA0002835387690000103
Finally, the subgraph G 2 is obtained, and the kernel values of all power nodes in G 2 are larger than the interval
Figure BDA0002835387690000104
the value within;

4)以此类推,直到最后所有的电力节点核值都位于一个区间内,则是该电网拓扑结构中的关键电力节点集合。4) By analogy, until all the core values of power nodes are located in an interval, it is the set of key power nodes in the grid topology.

可以理解的是,本发明的递归网络以及最后一层子网络都指的是电网拓扑结构包括更新前的电网拓扑结构和更新后的子图,另外本发明对于k-shell算法的改进主要在于划分出空间进行递归网络分解以及改进了传统的核值计算。It can be understood that the recursive network of the present invention and the last layer of sub-networks all refer to the grid topology including the grid topology before the update and the updated subgraph. In addition, the improvement of the present invention to the k-shell algorithm mainly lies in the division of Out of space for recursive network decomposition and improved traditional kernel value calculation.

图5给出了本发明的一种电网关键节点的识别装置的结构图,如图5所示,所述识别装置包括:Fig. 5 shows a structure diagram of an identification device for a key node of a power grid according to the present invention. As shown in Fig. 5, the identification device includes:

拓扑结构构建模块,用于按照电网中电力节点注入功率和线路传输功率的有效性规则,构建出功率有效性的电网拓扑结构;The topology structure building module is used to construct a power efficient grid topology structure according to the validity rules of power injection power and line transmission power in the power grid;

关键度评估模块,用于计算出电力节点的平均电气距离以及电气介数中心,并分别分配权重向量,构建出关键度评估模型;The criticality evaluation module is used to calculate the average electrical distance and electrical betweenness center of power nodes, and assign weight vectors respectively to construct a criticality evaluation model;

核值计算模块,用于根据所述关键度评估模型,计算出每个电力节点的核值;a core value calculation module, configured to calculate the core value of each power node according to the criticality evaluation model;

区间划分模块,用于按照电力节点的核值划分出多个区间,并确定其中的最小区间;The interval division module is used to divide a plurality of intervals according to the core value of the power node, and determine the minimum interval among them;

拓扑更新模块,用于删除最小区间内的电力节点,更新电网拓扑结构后,返回所述核值计算模块;a topology update module, used for deleting the power nodes in the minimum interval, and returning to the core value calculation module after updating the grid topology structure;

节点输出模块,用于输出最后一个区间的电力节点,即为关键点集合。The node output module is used to output the power node of the last interval, which is the set of key points.

本实施例中,核值计算模块和拓扑更新模块除了通过区间划分模块作为中间过渡以外,还采用直接相连的方式,在计算出电网拓扑结构中的各个电力节点的核值后,按照区间划分模块,对这些电力节点划分出不同的区间,在拓扑更新模块中,按照k-shell的方式,去除最小区间中的电力节点,并更新电网拓扑结构,将更新后的电网拓扑结构作为一个子图,重新通过核值计算模块计算出子图中的各电力节点的核值,首先,将子图中还存在于最小区间中的电力节点去除;然后继续按照k-shell的方式,去除次小区间中的电力节点,反复迭代此过程,直至最后所有的电力节点核值都位于最后一个区间内即最后一个子图内,则将该子图内的所有电力节点集合作为该电网拓扑结构中的关键电力节点集合。In this embodiment, the core value calculation module and the topology update module not only use the interval division module as an intermediate transition, but also adopt a direct connection method. , divide these power nodes into different intervals, in the topology update module, according to the k-shell method, remove the power nodes in the minimum interval, and update the power grid topology, taking the updated power grid topology as a subgraph, Recalculate the core value of each power node in the subgraph through the core value calculation module. First, remove the power nodes that still exist in the minimum interval in the subgraph; then continue to follow the k-shell method to remove the sub-cell interval This process is repeated repeatedly until all the core values of the power nodes are located in the last interval, that is, the last subgraph, then all the power node sets in the subgraph are regarded as the key power in the grid topology. collection of nodes.

在一些实施例中,本发明还提供了一种电网关键节点的识别系统,所述识别系统包括:In some embodiments, the present invention also provides an identification system for key nodes of a power grid, the identification system includes:

数据采集模块,用于采集电网中电力节点的电力数据;The data acquisition module is used to collect the power data of the power nodes in the power grid;

电网关键节点的识别装置,用于对采集到的电力节点的电力数据进行识别,输出关键点集合。The identification device of the key node of the power grid is used to identify the collected power data of the power node, and output a set of key points.

可以理解的是,本发明中的关键节点的识别方法、装置以及系统是属于同一发明构思,其对应特征可以相互引用,本发明不再一一赘述。It can be understood that the method, device and system for identifying key nodes in the present invention belong to the same inventive concept, and their corresponding features can be referred to each other, and the present invention will not describe them one by one.

在本发明的描述中,需要理解的是,术语“同轴”、“底部”、“一端”、“顶部”、“中部”、“另一端”、“上”、“一侧”、“顶部”、“内”、“外”、“前部”、“中央”、“两端”等指示的方位或位置关系为基于附图所示的方位或位置关系,仅是为了便于描述本发明和简化描述,而不是指示或暗示所指的装置或元件必须具有特定的方位、以特定的方位构造和操作,因此不能理解为对本发明的限制。In the description of the present invention, it should be understood that the terms "coaxial", "bottom", "one end", "top", "middle", "the other end", "upper", "one side", "top" "," "inside", "outside", "front", "center", "both ends", etc. indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings, only for the convenience of describing the present invention and The description is simplified rather than indicating or implying that the device or element referred to must have a particular orientation, be constructed and operate in a particular orientation, and therefore should not be construed as limiting the invention.

在本发明中,除非另有明确的规定和限定,术语“安装”、“设置”、“连接”、“固定”、“旋转”等术语应做广义理解,例如,可以是固定连接,也可以是可拆卸连接,或成一体;可以是机械连接,也可以是电连接;可以是直接相连,也可以通过中间媒介间接相连,可以是两个元件内部的连通或两个元件的相互作用关系,除非另有明确的限定,对于本领域的普通技术人员而言,可以根据具体情况理解上述术语在本发明中的具体含义。In the present invention, unless otherwise expressly specified and limited, terms such as "installation", "arrangement", "connection", "fixation" and "rotation" should be understood in a broad sense, for example, it may be a fixed connection or a It can be a detachable connection, or integrated; it can be a mechanical connection or an electrical connection; it can be directly connected or indirectly connected through an intermediate medium, it can be the internal connection of two elements or the interaction relationship between the two elements, Unless otherwise clearly defined, those of ordinary skill in the art can understand the specific meanings of the above terms in the present invention according to specific situations.

尽管已经示出和描述了本发明的实施例,对于本领域的普通技术人员而言,可以理解在不脱离本发明的原理和精神的情况下可以对这些实施例进行多种变化、修改、替换和变型,本发明的范围由所附权利要求及其等同物限定。Although embodiments of the present invention have been shown and described, it will be understood by those skilled in the art that various changes, modifications, and substitutions can be made in these embodiments without departing from the principle and spirit of the invention and modifications, the scope of the present invention is defined by the appended claims and their equivalents.

Claims (7)

1. A method for identifying a key node of a power grid is characterized by comprising the following steps:
step 1) constructing a power-efficient power grid topological structure according to validity rules of power node injection power and line transmission power in a power grid;
step 2) calculating the average electrical distance and the electrical permittivity center of the power node in the power grid topological structure, respectively distributing weight vectors, and constructing a criticality evaluation model of the node;
the calculation mode of the electric dielectric number center comprises the following steps:
Figure FDA0003779587130000011
wherein, P ki Represents the sum of the power transmitted over the shortest or most efficient path between power node k and power node i; p ik Represents the sum of the power transmitted through the shortest or most efficient path between power node i and power node k, G represents the set of power generation nodes; l represents a load node set; c B (k) Representing a traditional betweenness center of the normalized power node k;
step 3) calculating a power node core value according to the criticality evaluation model, carrying out recursive network decomposition according to the interval to which the power node core value belongs, and taking the power node contained in the last layer of sub-network as an identified key node set;
the calculation mode of the power node core value comprises the following steps:
Figure FDA0003779587130000012
wherein ks (i) represents a core value of power node i; k min Representing the minimum value of the criticality of all nodes in the power grid; k max Representing the maximum value of criticality of all power nodes in the power grid; k (i) represents the criticality of power node i.
2. The method for identifying key nodes of the power grid according to claim 1, wherein the step 1) comprises dividing the power nodes into power generation nodes, transmission nodes and load nodes according to the net injection power values of the power nodes, and adopting a forward superposition and reverse cancellation strategy to connect only one edge with non-negative transmission power between the power nodes, so as to construct the power grid topology.
3. The method for identifying the key node of the power grid according to claim 1, wherein the key degree evaluation model of the node is represented as:
Figure FDA0003779587130000021
wherein k (i) represents criticality of power node i;
Figure FDA0003779587130000022
representing a first weight vector, D i Represents the average electrical distance of the power node i,
Figure FDA0003779587130000023
representing a second weight vector; b is e (i) Represents the electrical betweenness center of the power node i.
4. The method for identifying the key nodes of the power grid according to claim 1 or 3, wherein the calculation mode of the weight vector comprises the steps of constructing a hierarchical structure model of decision criteria of the average electrical distance and the electrical betweenness center of the nodes by adopting an analytic hierarchy process; comparing the two decision criteria pairwise by adopting relative scale to obtain a judgment matrix; and detecting whether the judgment matrixes have consistency according to the consistency ratio, and taking indexes of the judgment matrixes with consistency as corresponding weight vectors.
5. The method for identifying key nodes of a power grid according to claim 1, wherein the core values of all the power nodes are divided into a plurality of intervals, a minimum interval is determined, the power nodes in the minimum interval are removed, the power grid topology is updated, the core values of the remaining power nodes in the updated power grid topology are calculated, the steps of removing the power nodes and updating the calculation are repeated until the core values of all the power nodes are in the same interval, and all the power nodes in the interval are used as the identified key node set.
6. An identification device for a key node of a power grid, which is applied to the identification method for the key node of the power grid according to any one of claims 1 to 5, wherein the identification device comprises:
the topological structure constructing module is used for constructing a power-efficient power grid topological structure according to validity rules of power node injection power and line transmission power in a power grid;
the criticality evaluation module is used for calculating the average electrical distance and the electrical betweenness center of the power nodes, respectively distributing weight vectors and constructing a criticality evaluation model;
the core value calculation module is used for calculating the core value of each power node according to the criticality evaluation model;
the interval dividing module is used for dividing a plurality of intervals according to the core values of the power nodes and determining the minimum interval;
the topology updating module is used for deleting the power nodes in the minimum interval, updating the power grid topology structure and returning to the core value calculating module;
and the node output module is used for outputting the power node of the last interval, namely the power node is the key point set.
7. An identification system for a critical node of a power grid, the identification system comprising:
the data acquisition module is used for acquiring the power data of the power nodes in the power grid;
a power grid key node identification apparatus as claimed in claim 6, configured to identify the collected power data of the power node and output a key point set.
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