CN103529275A - Short-circuit current analysis method and device of regional power grid - Google Patents
Short-circuit current analysis method and device of regional power grid Download PDFInfo
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Abstract
本发明提供了一种地区电网短路电流分析方法和装置,包括:对电网系统进行区域划分:将需要分析计算短路电流水平的地区划分为研究区域,将与研究区域存在直接联络的地区划分为边界区域,将除研究区域和边界区域以外的地区划分为外部区域;将边界区域和外部区域进行等值化简,形成等值后的边界区域,得到由研究区域和等值后的边界区域组成的等值后的电网系统;根据等值后的电网系统,分析计算研究区域的短路电流水平。本发明解决了现有技术中难以在保证短路电流计算精度的同时,减少短路电流分析时的数据量的技术问题,达到了在保证短路电流计算精度的基础上,减少短路电流分析时的数据量和计算量的技术效果。
The invention provides a method and device for analyzing the short-circuit current of a regional power grid, including: dividing the power grid system into regions: dividing the regions that need to analyze and calculate the short-circuit current level into research regions, and dividing the regions directly connected with the research region into boundaries Area, divide the area except the research area and the boundary area into the external area; perform equivalent simplification on the boundary area and the external area to form the equivalent boundary area, and obtain the research area and the equivalent boundary area. The grid system after equivalent value; according to the grid system after equivalent value, analyze and calculate the short-circuit current level of the research area. The invention solves the technical problem in the prior art that it is difficult to reduce the amount of data in short-circuit current analysis while ensuring the calculation accuracy of short-circuit current, and achieves the reduction of data amount in short-circuit current analysis on the basis of ensuring the calculation accuracy of short-circuit current and the technical effect of the amount of computation.
Description
技术领域technical field
本发明涉及电力系统技术领域,特别涉及一种地区电网短路电流分析方法和装置。The invention relates to the technical field of electric power systems, in particular to a method and device for analyzing the short-circuit current of a regional power grid.
背景技术Background technique
短路电流计算,是电力系统的设计和运行中必不可少的一项基本计算,短路电流计算的结果一般应用于电气设备和载流导体的选择、继电保护装置的确定、主接线方案及运行方式的确定等。此外,在进行电力系统的暂态稳定分析、确定输电线路对通讯的干扰等方面也都必须进行短路电流计算。Short-circuit current calculation is an indispensable basic calculation in the design and operation of power systems. The results of short-circuit current calculation are generally used in the selection of electrical equipment and current-carrying conductors, the determination of relay protection devices, the main wiring scheme and operation determination of the method, etc. In addition, the short-circuit current calculation must also be carried out in the transient stability analysis of the power system and the determination of the interference of the transmission line on the communication.
近年来随着电力系统规模的不断扩大,电网间的联系逐渐增强,大规模互联电网的发展一方面能够实现资源的合理开发及优化配置、提高供电的可靠性和运行的经济性,另一方面由于电网结构的加强使得电气距离缩短,部分厂站的短路电流增加较多,甚至已经超过了开关的遮断容量,短路电流问题已经越来越引起电力规划、调度运行部门的重视。In recent years, with the continuous expansion of the scale of the power system, the connection between the power grids has gradually strengthened. Due to the strengthening of the grid structure, the electrical distance has been shortened, and the short-circuit current of some plants has increased significantly, even exceeding the breaking capacity of the switch. The problem of short-circuit current has attracted more and more attention from the power planning, dispatching and operation departments.
目前,对某个电网进行短路电流计算的时候,往往只关注该电网所在地区(可以称为研究区域)的短路电流水平,然而,因为电网之间相互会产生影响和干扰,如何要保证对研究区域进行短路电流计算的准确性,就需要对电力系统中除研究区域之外的区域进行计算和分析。如果对整个电力网络的数据都进行分析计算,那么计算速度将会很慢,同时还需要对除研究区域之外的其它地区的电网数据进行维护,这将极大地增加短路电流分析的数据量和计算量。At present, when calculating the short-circuit current of a power grid, we often only pay attention to the short-circuit current level of the area where the power grid is located (which can be called the research area). In order to ensure the accuracy of calculating the short-circuit current in the area, it is necessary to calculate and analyze the areas in the power system other than the research area. If the data of the entire power network is analyzed and calculated, the calculation speed will be very slow, and at the same time, it is necessary to maintain the power grid data of other regions except the research area, which will greatly increase the amount of data and the amount of short-circuit current analysis. Calculations.
同时,随着电网规模的不断扩大,为了保证短路电流计算的准确性,电网运行人员在进行短路电流分析计算时的数据量变得越来越庞大,进行数据分析的数据量也越来越多,这样也就必然导致了对仿真软件和计算机配置的要求变得越来越高。同时,一些商用软件由于受到程序本身算法的限制,对电网的规模也存在一定的要求。At the same time, with the continuous expansion of the scale of the power grid, in order to ensure the accuracy of short-circuit current calculations, the amount of data required by power grid operators to analyze and calculate short-circuit currents is becoming larger and larger, and the amount of data for data analysis is also increasing. This will inevitably lead to higher and higher requirements for simulation software and computer configuration. At the same time, some commercial software also has certain requirements on the scale of the power grid due to the limitation of the algorithm of the program itself.
如何在保证短路电流计算精度的同时,减少短路电流分析时的数据量,目前尚未提出有效的解决方案。How to reduce the amount of data in short-circuit current analysis while ensuring the calculation accuracy of short-circuit current has not yet proposed an effective solution.
发明内容Contents of the invention
本发明提供了一种地区电网短路电流分析方法和装置,以至少解决现有技术中难以在保证短路电流计算精度的同时,减少短路电流分析时的数据量的技术问题。The invention provides a method and device for analyzing short-circuit current of a regional power grid to at least solve the technical problem in the prior art that it is difficult to reduce the amount of data in short-circuit current analysis while ensuring the accuracy of short-circuit current calculation.
本发明实施例提供了一种地区电网短路电流分析方法,包括:对电网系统进行区域划分:将需要分析计算短路电流水平的地区划分为研究区域,将与研究区域存在直接联络的地区划分为边界区域,将除研究区域和边界区域以外的地区划分为外部区域;将边界区域和外部区域进行等值化简,形成等值后的边界区域,得到由研究区域和等值后的边界区域组成的等值后的电网系统;根据等值后的电网系统,分析计算研究区域的短路电流水平。An embodiment of the present invention provides a method for analyzing the short-circuit current of a regional power grid, which includes: dividing the power grid system into regions: dividing the regions that need to analyze and calculate the short-circuit current level into research regions, and dividing the regions directly connected with the research regions into boundaries Area, divide the area except the research area and the boundary area into the external area; perform equivalent simplification on the boundary area and the external area to form the equivalent boundary area, and obtain the research area and the equivalent boundary area. The grid system after equivalent value; according to the grid system after equivalent value, analyze and calculate the short-circuit current level of the research area.
在一个实施例中,将边界区域和外部区域进行等值化简,形成等值后的边界区域,得到由研究区域和等值后的边界区域组成的等值后的电网系统,包括:按照外部区域、边界区域和研究区域的顺序构建电网系统的节点导纳矩阵;利用高斯消元法消去节点导纳矩阵中外部区域的部分,形成仅保留边界区域和研究区域的等值后节点导纳矩阵;确定等值后节点导纳矩阵中边界区域对应的矩阵元素的变化量矩阵;根据所述变化量矩阵确定等值后的边界区域中增加的发电机、增加的连接支路,以及增加的发电机的电抗参数和增加的连接支路的电抗参数;根据确定出的增加的发电机、增加的连接支路,增加的发电机的电抗参数、以及增加的连接支路的电抗参数进行网络重构形成等值后的电网系统。In one embodiment, the boundary area and the external area are equivalently simplified to form an equivalent boundary area, and an equivalent power grid system composed of the research area and the equivalent boundary area is obtained, including: according to the external Construct the node admittance matrix of the power grid system in the order of region, boundary region and research region; use the Gaussian elimination method to eliminate the part of the outer region in the node admittance matrix, and form an equivalent post-node admittance matrix that only retains the boundary region and the research region ;Determine the variation matrix of the matrix elements corresponding to the boundary area in the node admittance matrix after the equivalence; determine the increased generator, the increased connection branch, and the increased power generation in the boundary area after the equivalent value is determined according to the variation matrix The reactance parameter of the generator and the reactance parameter of the added connection branch; the network reconstruction is carried out according to the determined added generator, the added connection branch, the added reactance parameter of the generator, and the added reactance parameter of the connected branch Form the equivalent grid system.
在一个实施例中,根据所述变化量矩阵确定等值后的边界区域中增加的连接支路的电抗参数,包括:确定增加的连接支路两端的节点号;取变化量矩阵中与两端的节点号对应的元素的负倒数,作为增加的连接支路的电抗参数。In one embodiment, determining the reactance parameter of the added connection branch in the boundary area after equivalence according to the change matrix includes: determining the node numbers at both ends of the added connection branch; The negative reciprocal of the element corresponding to the node number is used as the reactance parameter of the added connecting branch.
在一个实施例中,根据所述变化量矩阵确定等值后的边界区域中增加的发电机的电抗参数,包括:确定与增加的发电机相连的节点的节点号;将外部区域中与该节点号的节点直接相连的连接支路的导纳、变化量矩阵中该节点号所在行上的各个元素作相加运算得到总导纳;取总导纳的倒数作为增加的发电机的电抗参数。In one embodiment, determining the reactance parameter of the added generator in the boundary area after equivalence according to the variation matrix includes: determining the node number of the node connected to the added generator; The total admittance is obtained by adding the admittance of the connecting branch directly connected to the node number and the elements on the row where the node number is located in the variation matrix; the reciprocal of the total admittance is taken as the reactance parameter of the added generator.
在一个实施例中,确定等值后节点导纳矩阵中边界区域对应的矩阵元素的变化量矩阵,包括:确定边界区域中节点的个数;在边界区域中节点的个数小于预定阈值的情况下,采用线性方程求解的方法计算变化量矩阵。In one embodiment, determining the variation matrix of the matrix elements corresponding to the boundary area in the equivalent node admittance matrix includes: determining the number of nodes in the boundary area; when the number of nodes in the boundary area is less than a predetermined threshold Next, the method of solving linear equations is used to calculate the variation matrix.
在一个实施例中,所述预定阈值为6。In one embodiment, the predetermined threshold is 6.
本发明实施例还提供了一种地区电网短路电流分析装置,包括:区域划分模块,用于对电网系统进行区域划分:将需要分析计算短路电流水平的地区划分为研究区域,将与研究区域存在直接联络的地区划分为边界区域,将除研究区域和边界区域以外的地区划分为外部区域;等值简化模块,用于将边界区域和外部区域进行等值化简,形成等值后的边界区域,得到由研究区域和等值后的边界区域组成的等值后的电网系统;分析模块,用于根据等值后的电网系统,分析计算研究区域的短路电流水平。The embodiment of the present invention also provides a regional power grid short-circuit current analysis device, including: a region division module, which is used to divide the power grid system into regions: divide the regions that need to analyze and calculate the short-circuit current level into research regions, and divide the regions that are related to the research region The directly connected areas are divided into boundary areas, and the areas other than the research area and the boundary area are divided into external areas; the equivalent simplification module is used to perform equivalent simplification of the boundary area and the external area to form an equivalent boundary area , to obtain the equivalent power grid system composed of the research area and the equivalent boundary area; the analysis module is used to analyze and calculate the short-circuit current level of the research area according to the equivalent power grid system.
在一个实施例中,所述等值简化模块包括:构建单元,用于按照外部区域、边界区域和研究区域的顺序构建电网系统的节点导纳矩阵;简化单元,用于利用高斯消元法消去节点导纳矩阵中外部区域的部分,形成仅保留边界区域和研究区域的等值后节点导纳矩阵;矩阵确定单元,用于确定等值后节点导纳矩阵中边界区域对应的矩阵元素的变化量矩阵;参数确定单元,用于根据所述变化量矩阵确定等值后的边界区域中增加的发电机、增加的连接支路,以及增加的发电机的电抗参数和增加的连接支路的电抗参数;重构单元,用于根据增加的发电机、增加的连接支路,增加的发电机的电抗参数、以及增加的连接支路的电抗参数进行网络重构形成等值后的电网系统。In one embodiment, the equivalent simplification module includes: a construction unit for constructing the node admittance matrix of the power grid system in the order of the external area, the boundary area and the research area; a simplification unit for eliminating The part of the outer area in the nodal admittance matrix forms the post-equivalent nodal admittance matrix that only retains the boundary area and the research area; the matrix determination unit is used to determine the change of the matrix elements corresponding to the boundary area in the post-equivalent nodal admittance matrix Quantity matrix; parameter determination unit, used to determine the added generator, the increased connection branch in the boundary area after the equivalence according to the variation matrix, and the reactance parameter of the increased generator and the reactance of the increased connection branch Parameters; a reconstruction unit, configured to perform network reconfiguration according to the added generator, the added connection branch, the added reactance parameter of the generator, and the added reactance parameter of the connected branch to form an equivalent grid system.
在一个实施例中,所述参数确定单元包括:第一节点号确定子单元,用于确定增加的连接支路两端的节点号;第一参数确定子单元,用于取变化量矩阵中与两端的节点号对应的元素的负倒数,作为增加的连接支路的电抗参数。In one embodiment, the parameter determination unit includes: a first node number determination subunit, used to determine the node numbers at both ends of the added connection branch; a first parameter determination subunit, used to obtain the difference between the two The negative reciprocal of the element corresponding to the node number of the end is used as the reactance parameter of the added connection branch.
在一个实施例中,所述参数确定单元包括:第二节点号确定子单元,用于确定与增加的发电机相连的节点的节点号;累加单元,用于将外部区域中与该节点号的节点直接相连的连接支路的导纳、变化量矩阵中该节点号所在行上的各个元素作相加运算得到总导纳;第二参数确定子单元,用于取总导纳的倒数作为增加的发电机的电抗参数。In one embodiment, the parameter determination unit includes: a second node number determination subunit, used to determine the node number of the node connected to the added generator; The admittance of the connecting branch directly connected to the node and each element on the row of the node number in the variation matrix are summed to obtain the total admittance; the second parameter determines the subunit, which is used to take the reciprocal of the total admittance as the increase The reactance parameters of the generator.
在一个实施例中,所述矩阵确定单元包括:节点数确定子单元,用于确定边界区域中节点的个数;计算子单元,用于在边界区域中节点的个数小于预定阈值的情况下,采用线性方程求解的方法计算变化量矩阵。In one embodiment, the matrix determination unit includes: a node number determination subunit, configured to determine the number of nodes in the boundary area; a calculation subunit, used for when the number of nodes in the boundary area is less than a predetermined threshold , using the linear equation solution method to calculate the variation matrix.
在一个实施例中,所述预定阈值为6。In one embodiment, the predetermined threshold is 6.
在本发明实施例中,将电网系统中需要分析计算短路电流水平的地区划分为研究区域,然后将与研究区域存在直接联络的地区划分为边界区域,将除了研究区域和边界区域之外的地区划分为外部区域,然后将该电网系统等值简化为仅包含研究区域和等值后的边界区域的电网系统,最后通过等值后的电网系统分析计算研究区域的短路电流水平,因为等值简化后的电网系统中不再存在外部区域,因此在分析计算短路电流水平时所需的数据量将明显减少。通过上述方式有效解决了现有技术中难以在保证短路电流计算精度的同时,减少短路电流分析时的数据量的技术问题,达到了在保证短路电流计算精度的基础上,减少短路电流分析时的数据量和计算量的技术效果。In the embodiment of the present invention, the areas in the grid system that need to analyze and calculate the short-circuit current level are divided into research areas, and then the areas that have direct contact with the research area are divided into boundary areas, and the areas other than the research area and the boundary area are divided into Divide it into external areas, and then simplify the grid system equivalently to a grid system that only includes the research area and the equivalent boundary area, and finally calculate the short-circuit current level of the research area through the analysis of the equivalent grid system, because the equivalent simplification In the future grid system there is no longer any external area, so the amount of data required for analysis and calculation of short-circuit current levels will be significantly reduced. The above method effectively solves the technical problem in the prior art that it is difficult to reduce the amount of data in short-circuit current analysis while ensuring the calculation accuracy of short-circuit current, and achieves the reduction of short-circuit current analysis on the basis of ensuring the calculation accuracy of short-circuit current Technical effects of data volume and computation volume.
附图说明Description of drawings
此处所说明的附图用来提供对本发明的进一步理解,构成本申请的一部分,并不构成对本发明的限定。在附图中:The drawings described here are used to provide further understanding of the present invention, constitute a part of the application, and do not limit the present invention. In the attached picture:
图1是本发明实施例的地区电网短路电流分析方法的流程图;Fig. 1 is the flowchart of the method for analyzing the short-circuit current of the regional power grid in an embodiment of the present invention;
图2是本发明实施例的进行网络等值简化的流程图;Fig. 2 is a flowchart of network equivalent simplification according to an embodiment of the present invention;
图3是本发明实施例的地区电网短路电流分析方法具体实施例的流程图;Fig. 3 is the flow chart of the specific embodiment of the method for analyzing the short-circuit current of the regional power grid in the embodiment of the present invention;
图4是本发明实施例的网络结构区域划分示意图;FIG. 4 is a schematic diagram of network structure area division according to an embodiment of the present invention;
图5是本发明实施例的各区域之间联络线的线路导纳的示意图;Fig. 5 is a schematic diagram of the line admittance of the connecting line between the various regions according to the embodiment of the present invention;
图6是本发明实施例的等值简化后边界区域中某个节点的网络接线图;Fig. 6 is a network wiring diagram of a certain node in the boundary area after equivalent simplification according to an embodiment of the present invention;
图7是本发明实施例的IEEE39节点的网络结构划分示意图;FIG. 7 is a schematic diagram of network structure division of IEEE39 nodes according to an embodiment of the present invention;
图8是本发明实施例的地区电网短路电流分析装置的结构框图。Fig. 8 is a structural block diagram of a regional power grid short-circuit current analysis device according to an embodiment of the present invention.
具体实施方式Detailed ways
为使本发明的目的、技术方案和优点更加清楚明白,下面结合实施方式和附图,对本发明做进一步详细说明。在此,本发明的示意性实施方式及其说明用于解释本发明,但并不作为对本发明的限定。In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be described in further detail below in conjunction with the embodiments and accompanying drawings. Here, the exemplary embodiments and descriptions of the present invention are used to explain the present invention, but not to limit the present invention.
在本发明实施例中提供了一种地区电网短路电流分析,如图1所示,该方法包括以下步骤:In an embodiment of the present invention, a short-circuit current analysis of a regional power grid is provided. As shown in FIG. 1, the method includes the following steps:
步骤101:对电网系统进行区域划分:将需要分析计算短路电流水平的地区划分为研究区域,将与研究区域存在直接联络的地区划分为边界区域,将除研究区域和边界区域以外的地区划分为外部区域;Step 101: Divide the power grid system into regions: divide the regions that need to analyze and calculate the short-circuit current level into the research regions, divide the regions that have direct contact with the research regions into the boundary regions, and divide the regions other than the research region and the boundary region into outside area;
步骤102:将边界区域和外部区域进行等值化简,形成等值后的边界区域,得到由研究区域和等值后的边界区域组成的等值后的电网系统;Step 102: Perform equivalent simplification of the boundary area and the external area to form an equivalent boundary area, and obtain an equivalent power grid system composed of the research area and the equivalent boundary area;
步骤103:根据等值后的电网系统,分析计算研究区域的短路电流水平。Step 103: Analyze and calculate the short-circuit current level in the research area according to the equivalent grid system.
在上述实施例中,将电网系统中需要分析计算短路电流水平的地区划分为研究区域,然后将与研究区域存在直接联络的地区划分为边界区域,将除了研究区域和边界区域之外的地区划分为外部区域,然后将该电网系统等值简化为仅包含研究区域和等值后的边界区域的电网系统,最后通过等值后的电网系统分析计算研究区域的短路电流水平,因为等值简化后的电网系统中不再存在外部区域,因此在分析计算短路电流水平时所需的数据量将明显减少。通过上述方式有效解决了现有技术中难以在保证短路电流计算精度的同时,减少短路电流分析时的数据量的技术问题,达到了在保证短路电流计算精度的基础上,减少短路电流分析时的数据量和计算量的技术效果。In the above-mentioned embodiments, the areas in the power grid system that need to analyze and calculate the short-circuit current level are divided into research areas, and then the areas that have direct contact with the research area are divided into boundary areas, and the areas other than the research area and the boundary area are divided into is the external area, and then the grid system equivalent is simplified to a grid system that only includes the research area and the equivalent boundary area, and finally the short-circuit current level of the research area is calculated through the analysis of the equivalent grid system, because after the equivalent simplification There are no longer external areas in the network system of , so the amount of data required for the analysis and calculation of short-circuit current levels will be significantly reduced. The above method effectively solves the technical problem in the prior art that it is difficult to reduce the amount of data in short-circuit current analysis while ensuring the calculation accuracy of short-circuit current, and achieves the reduction of short-circuit current analysis on the basis of ensuring the calculation accuracy of short-circuit current Technical effects of data volume and computation volume.
在一个实施例中,可以通过电网系统的节点导纳矩阵进行电网系统的等值简化,在一个实施例中,上述步骤102将边界区域和外部区域进行等值化简,形成等值后的边界区域,得到由研究区域和等值后的边界区域组成的等值后的电网系统,可以如图2所示,包括以下步骤:In one embodiment, the equivalent simplification of the power grid system can be performed through the node admittance matrix of the power grid system. In one embodiment, the
步骤201:按照外部区域、边界区域和研究区域的顺序构建电网系统的节点导纳矩阵;Step 201: Construct the node admittance matrix of the power grid system in the order of the external area, the boundary area and the research area;
步骤202:利用高斯消元法消去节点导纳矩阵中外部区域的部分,形成仅保留边界区域和研究区域的等值后节点导纳矩阵;Step 202: using the Gaussian elimination method to eliminate the part of the outer region in the node admittance matrix to form an equivalent post-node admittance matrix that only retains the boundary region and the research region;
步骤203:确定等值后节点导纳矩阵中边界区域对应的矩阵元素的变化量矩阵;Step 203: Determine the variation matrix of the matrix elements corresponding to the boundary area in the equivalent node admittance matrix;
步骤204:根据所述变化量矩阵确定等值后的边界区域中增加的发电机、增加的连接支路,以及增加的发电机的电抗参数和增加的连接支路的电抗参数;Step 204: Determine the added generator, the added connection branch, and the added reactance parameter of the generator and the added reactance parameter of the connected branch in the boundary area after equivalence according to the variation matrix;
步骤205:根据确定出的增加的发电机、增加的连接支路,增加的发电机的电抗参数、增加的连接支路的电抗参数、以及发电机与连接支路之间的连接方式进行网络重构形成等值后的电网系统。Step 205: Perform network reconfiguration according to the determined added generator, the added connection branch, the reactance parameter of the added generator, the reactance parameter of the added connection branch, and the connection mode between the generator and the connection branch. Construct the grid system after equivalence.
即,先构建电网系统的节点导纳矩阵,然后通过高斯消元法消除节点导纳矩阵中外部区域对应的矩阵元素,通过高斯消元后,外部区域对应的矩阵元素就会被等值到边界区域对应的矩阵元素中,最终可以发现等值简化后的节点导纳矩阵中仅边界区域对应的矩阵元素发生了变化,可以直接根据边界区域对应的矩阵元素的变化确定等值后的电网结构中边界区域中增加的发电机和连接支路,以及增加的发电机和连接支路的电抗参数。进行等值简化并重构电网系统的时候,可以保持边界区域中原有的节点和连接支路都不变,而是将新增的发电机和连接支路添加到边界区域中的相应位置。That is, first construct the node admittance matrix of the power grid system, and then eliminate the matrix elements corresponding to the outer regions in the node admittance matrix through the Gaussian elimination method. After Gaussian elimination, the matrix elements corresponding to the outer regions will be equivalent to the boundary Among the matrix elements corresponding to the region, it can be found that only the matrix elements corresponding to the boundary region in the equivalent simplified node admittance matrix have changed, and the equivalent grid structure can be determined directly according to the change of the matrix elements corresponding to the boundary region Added generators and connecting branches in the boundary region, and added reactance parameters for generators and connecting branches. When performing equivalent simplification and reconstructing the power grid system, the original nodes and connecting branches in the boundary area can be kept unchanged, but the new generators and connecting branches can be added to the corresponding positions in the boundary area.
具体的,根据所述变化量矩阵确定等值后的边界区域增加的发电机的电抗参数和增加的连接支路的电抗参数可以包括:Specifically, determining the added reactance parameters of the generator and the added reactance parameters of the connecting branch in the boundary area after the equivalence according to the variation matrix may include:
1)确定增加的连接支路两端的节点号;取变化量矩阵中与两端的节点号对应的元素的负倒数,作为增加的连接支路的电抗参数;1) Determine the node numbers at both ends of the added connection branch; take the negative reciprocal of the elements corresponding to the node numbers at both ends in the variation matrix as the reactance parameter of the added connection branch;
2)确定与增加的发电机相连的节点的节点号;将外部区域中与该节点号的节点直接相连的连接支路的导纳、变化量矩阵中该节点号所在行上的各个元素作相加运算得到总导纳;取总导纳的倒数作为增加的发电机的电抗参数。2) Determine the node number of the node connected to the added generator; compare the admittance of the connecting branch directly connected to the node of the node number in the external area, and each element on the row of the node number in the variation matrix The total admittance is obtained by adding operation; the reciprocal of the total admittance is taken as the reactance parameter of the added generator.
为了对上述步骤201至205的原理进行具体说明,下面结合一个具体的例子来对本发明实施例所提供的地区电网短路电流分析方法进行具体说明。In order to specifically illustrate the principles of the above-mentioned steps 201 to 205, the method for analyzing the short-circuit current of the regional power grid provided by the embodiment of the present invention will be specifically described below in conjunction with a specific example.
在本实施例中,地区电网短路电流分析方法如图3所示,包括以下步骤:In this embodiment, the method for analyzing the short-circuit current of the regional power grid is shown in Figure 3, and includes the following steps:
步骤301:区域划分Step 301: Region division
具体的,选取需要分析计算短路电流水平的地区作为研究区域,与研究区域存在直接联络的地区作为边界区域,除研究区域和边界区域以外的地区作为外部区域。经过网络划分后,研究区域与边界区域通过联络线相连,边界区域与外部区域通过联络线相连,研究区域与外部区域则不存在直接联系。Specifically, select the area that needs to analyze and calculate the short-circuit current level as the research area, the area that is directly connected with the research area as the boundary area, and the area other than the research area and the boundary area as the external area. After the network is divided, the research area and the border area are connected through the tie line, the border area is connected with the outer area through the tie line, and there is no direct connection between the research area and the outer area.
步骤302:网络化简Step 302: Network Simplification
具体的,按照外部区域、边界区域和研究区域的顺序构建全系统节点导纳矩阵Y。例如:可以利用高斯消元法进行网络的等值简化,以消去Y中外部区域的部分,形成仅保留边界区域和研究区域的等值后的节点导纳矩阵 Specifically, the system-wide node admittance matrix Y is constructed in the order of the external area, the boundary area, and the research area. For example: Gaussian elimination method can be used for equivalent simplification of the network to eliminate the part of the outer area in Y, and form a node admittance matrix that only retains the equivalent value of the boundary area and the research area
步骤303:边界区域网络重构Step 303: Border area network reconstruction
利用研究区域与边界区域之间的联络线参数和上述步骤302中生成的等值后节点导纳矩阵中的部分元素,对边界区域网络进行重构。其中,上述的边界网络重构包括:联络线重构和发电机重构,同时还需要计算重构后网络中新增元件(包括新增发电机和新增连接支路)的电抗参数。Using the contact line parameters between the study area and the boundary area and the equivalent post-nodal admittance matrix generated in the
步骤304:根据重构后的网络进行短路电流分析。Step 304: Perform short-circuit current analysis according to the reconstructed network.
下面对上述步骤302和步骤303进行具体的描述:The
在上述步骤302网络化简中,对电网进行分析计算时,为了减少计算机内存和降低人员的工作量,可以将网络中不需要进行分析的部分进行等值化的简化处理。如图4所示是网络结构区域划分的示意图,以如图4所示的系统为例,研究区域的节点集用A表示,边界区域的节点集用B表示,外部区域的节点集用C表示。In the above-mentioned
按照外部区域、边界区域和研究区域的顺序,形成了全系统的节点导纳矩阵Y,根据节点导纳矩阵与节点阻抗矩阵互逆的特点,分块矩阵形式的方程公式1所示:According to the order of the external area, the boundary area and the research area, the nodal admittance matrix Y of the whole system is formed. According to the characteristics of the reciprocal inversion of the nodal admittance matrix and the nodal impedance matrix, the block matrix form Equation 1 is shown as follows:
其中,Y表示节点导纳矩阵,Z表示节点阻抗矩阵,E表示单位矩阵。Among them, Y represents the node admittance matrix, Z represents the node impedance matrix, and E represents the identity matrix.
目前,电力行业在计算短路电流时主要采用的是等效电压源法,即通过求解故障点的短路阻抗来计算短路电流值。根据节点阻抗矩阵的性质,其对角线上元素Zkk为从节点k向整个网络看进去的对地总阻抗,也称自阻抗或输入阻抗,在电网发生金属性短路时Zkk即为短路阻抗。At present, the electric power industry mainly adopts the equivalent voltage source method when calculating the short-circuit current, that is, the short-circuit current value is calculated by solving the short-circuit impedance of the fault point. According to the nature of the node impedance matrix, the element Z kk on its diagonal is the total impedance to ground seen from node k to the entire network, also known as self-impedance or input impedance, and Z kk is a short circuit when a metallic short circuit occurs in the power grid impedance.
由于在进行地区电网短路电流计算时,只需要关心研究区域内各厂站的短路电流水平,即只需要计算分块矩阵ZAA中对角线上的元素,因此,其对应的计算公式如公式2所示。When calculating the short-circuit current of the regional power grid, we only need to care about the short-circuit current level of each station in the research area, that is, only need to calculate the elements on the diagonal in the block matrix Z AA , so the corresponding calculation formula is as follows: 2.
利用高斯消元法消去外部区域C,可得:Using the Gaussian elimination method to eliminate the outer area C, we can get:
对比上述公式2和上述公式3可以看出,等值后方程中仅边界区域对应的矩阵元素发生了变化,即只有YBB发生了变化,等值前后YBB的变化量为:Comparing the above formula 2 and the above formula 3, it can be seen that only the matrix elements corresponding to the boundary area in the equation after the equivalence have changed, that is, only Y BB has changed, and the amount of change of Y BB before and after the equivalence is:
由上述推导,等值简化前后YBB的变化量ΔYBB表征了外部节点对内部节点的影响,根据矩阵转置的性质可以得出ΔYBB和YBB为对称矩阵,因此边界区域可以重构为一个添加了新增支路的电力网络。From the above derivation, the change ΔY BB of Y BB before and after equivalent simplification represents the impact of external nodes on internal nodes. According to the nature of matrix transposition, ΔY BB and Y BB are symmetrical matrices, so the boundary area can be reconstructed as An electrical network with new branches added.
在上述步骤303边界区域网络重构的过程中,根据前面推导出的等值过程中节点导纳矩阵的变化情况,由于短路电流计算软件的输入数据是电力系统元件的模型参数,因此需要将等值后的矩阵形式转换成实际的电网接线结构,即网络重构问题。短路电流计算过程中的网络重构包括联络线重构和发电机重构,同时还需要计算出新增元件的电抗参数。In the process of network reconstruction of the boundary area in the
以上述图4所示的系统为例,来具体描述等值过程中边界区域网络重构的具体实现方法。边界区域中的3个节点分别命名为b1、b2、b3,各区域之间联络线的线路导纳如图5所示。Taking the system shown in FIG. 4 above as an example, a specific implementation method of border area network reconfiguration in the equivalence process will be described in detail. The three nodes in the boundary area are named b1, b2, and b3 respectively, and the line admittance of the connecting line between each area is shown in Figure 5.
以边界区域中的节点b1为例,介绍网络等值后边界区域网络重构中的联络线重构和发电机重构的方法,求解过程包括以下步骤:Taking node b1 in the boundary area as an example, this paper introduces the methods of tie line reconstruction and generator reconstruction in the boundary area network reconstruction after network equivalence. The solution process includes the following steps:
S1:等值前,YBB中b1节点的自导纳为:S1: Before equivalence, the self-admittance of node b1 in Y BB is:
YBB(b1,b1)=y1+y4+y5+y6 (公式5)Y BB (b1,b1)=y1+y4+y5+y6 (Equation 5)
b1节点的互导纳为:The mutual admittance of node b1 is:
S2:等值后,由公式4可知矩阵YBB中b1节点所在的行元素上存在新增元素,假设由公式4计算出的ΔYBB中b1所在行的元素为:S2: After equivalence, it can be known from formula 4 that there is a new element on the row element where b1 node is located in matrix Y BB , assuming that the element in the row where b1 is located in ΔY BB calculated by formula 4 is:
ΔYBB(b1)=[Δy1 Δy2 Δy3] (公式7)ΔY BB (b1)=[Δy1 Δy2 Δy3] (Equation 7)
由公式5至7可以得出,等值后矩阵中b1节点所在的行元素为:From formulas 5 to 7, it can be concluded that the equivalent matrix The row element where the b1 node is located is:
根据网络化简的要求和ΔYBB、的特点,可以求得如图6所示的等值简化后节点b1的网络接线,由公式8中的互导纳部分可以看出,节点b1和节点b2之间新增导纳为-Δy2的线路,节点b1和节点b3之间新增导纳为-Δy3的线路,由公式8的自导纳部分可以看出,等值后b1节点存在新的对地支路,由短路电流计算中的短路阻抗概念可知,对地支路可以等效成发电机支路,新增发电机的次暂态电抗为X′′d(折算成导纳为y′′)。According to the requirements of network simplification and ΔY BB , The characteristics of the network connection of node b1 after equivalent simplification as shown in Figure 6 can be obtained. From the mutual admittance part in formula 8, it can be seen that the newly added admittance between node b1 and node b2 is -Δy2 The new line between node b1 and node b3 with an admittance of -Δy3 can be seen from the self-admittance part of formula 8. After the equivalence, there is a new branch to the ground at node b1, and the short circuit in the calculation of short circuit current From the concept of impedance, it can be seen that the ground branch can be equivalent to the generator branch, and the subtransient reactance of the new generator is X′′ d (converted into admittance is y′′).
由图6可以看出,对于b1节点,新增的对b2、b3节点的线路参数可以通过公式7中的互导纳部分确定,而对于等值发电机电抗参数则不能直接获得,由图6中的网络结构可以得出,等值后b1节点的自导纳为:It can be seen from Fig. 6 that for node b1, the newly added line parameters for nodes b2 and b3 can be determined through the mutual admittance part in formula 7, but for the equivalent generator reactance parameters cannot be directly obtained, as shown in Fig. 6 The network structure in can be concluded that the self-admittance of b1 node after equivalence is:
对比公式8和公式9中的表达式,可得:Compare Equation 8 and Equation 9 in expression, we can get:
y′′=(y5+y6)+(Δy1+Δy2+Δy3) (公式10)y′′=(y5+y6)+(Δy1+Δy2+Δy3) (Formula 10)
由公式10可以看出,y′′表达式中的第一项为节点b1与外部区域相连线路的导纳之和(即与节点b1相连的被消去线路的导纳之和),第二项为矩阵ΔYBB中节点b1所在行的各个元素之和。It can be seen from formula 10 that the first term in the y'' expression is the sum of the admittances of the lines connected to the node b1 and the external area (that is, the sum of the admittances of the eliminated lines connected to the node b1), and the second term is the sum of the elements in the row where node b1 is located in the matrix ΔY BB .
由上述分析可以看出,只需要计算得到等值简化后的导纳矩阵中边界区域对应的矩阵元素的变化量,便可以简单地确定出与边界区域中各个节点通过联络线相连的发电机的电抗参数,以及边界区域中各个节点之间增加的连接支路的电抗参数,从而实现网络重构。From the above analysis, it can be seen that the change of the matrix elements corresponding to the boundary area in the equivalent simplified admittance matrix can be simply determined to determine the The reactance parameter, and the reactance parameter of the connection branch added between each node in the boundary area, so as to realize the network reconstruction.
根据上述图6、公式8和公式10可以得出边界区域中与节点b1相关的新增支路及新增发电机的电抗参数,具体的参数如表1所示:According to the above Figure 6, Formula 8 and Formula 10, the reactance parameters of the newly added branch and the newly added generator related to node b1 in the boundary area can be obtained. The specific parameters are shown in Table 1:
表1Table 1
边界区域中节点b2、b3的处理方式与节点b1的处理方式相同,在此不再赘述。The processing methods of the nodes b2 and b3 in the boundary area are the same as the processing method of the node b1, and will not be repeated here.
通过上述等值简化步骤可以看出,只需计算出ΔYBB,便可以简单的获得边界区域新增元件的电抗参数。由上述公式4可以看出,ΔYBB的求解中需要对分块矩阵YCC进行求逆运算。在实际的电网中,考虑到边界区域的规模一般较小,一般为4到6个节点,因此可以通过线性方程的求解方法来替代矩阵的求逆运算。在一个实施例中,确定等值后节点导纳矩阵中边界区域对应的矩阵元素的变化量矩阵可以包括:确定边界区域中节点的个数;在边界区域中节点的个数小于预定阈值的情况下,采用线性方程求解的方法计算变化量矩阵。其中,这个预定阈值可以取值为4至6,具体的按照实际需要进行选取,本发明对此不作限定。即,通过线性方程求解的方式替代矩阵求逆的方式,这样在节点数较少的时候可以有效减少计算量。It can be seen from the above equivalent simplification steps that the reactance parameters of the newly added components in the boundary area can be obtained simply by calculating ΔY BB . It can be seen from the above formula 4 that in solving ΔY BB it is necessary to perform an inverse operation on the block matrix Y CC . In the actual power grid, considering that the scale of the boundary area is generally small, generally 4 to 6 nodes, the inversion operation of the matrix can be replaced by the solution method of the linear equation. In one embodiment, determining the variation matrix of the matrix elements corresponding to the boundary area in the equivalent node admittance matrix may include: determining the number of nodes in the boundary area; when the number of nodes in the boundary area is less than a predetermined threshold Next, the method of solving linear equations is used to calculate the variation matrix. Wherein, the predetermined threshold may be 4 to 6, which is specifically selected according to actual needs, which is not limited in the present invention. That is, the method of matrix inversion is replaced by the method of solving linear equations, so that the amount of calculation can be effectively reduced when the number of nodes is small.
下面以IEEE39节点为例,来分析短路电流计算外部网络等值简化方法,如图7所示,是该IEEE39节点的网络结构划分示意图。Taking the IEEE39 node as an example, the following is an analysis of the simplified method for calculating the equivalent value of the external network of the short-circuit current, as shown in Figure 7, which is a schematic diagram of the network structure division of the IEEE39 node.
如图7所示,边界区域中包括:new14、new18和new25三个节点,其中,基准容量SB=100MVA,基准电压VB=Vav=345kV,按照:new14、new18、new25的顺序计算ΔYBB,计算结果如公式11所示:As shown in Figure 7, the boundary area includes three nodes: new14, new18 and new25, where the reference capacity SB=100MVA, reference voltage VB=Vav=345kV, calculate ΔY BB in the order of: new14, new18, new25, calculate The result is shown in Equation 11:
由上述步骤S3中的计算公式,根据公式11中ΔYBB的取值计算得到各边界节点上新增加的元件及各新增元件的电抗值如表2所示。From the calculation formula in step S3 above, the newly added elements on each boundary node and the reactance values of each newly added element are calculated according to the value of ΔY BB in formula 11, as shown in Table 2.
表2Table 2
对等值前后的网络采用PSD-SCCP软件进行三相短路电流扫描,计算时不考虑负荷、线路电阻、线路充电功率以及变压器非标准变比,等值前后研究区域中各节点短路电流扫描结果如表3所示。The PSD-SCCP software is used to scan the three-phase short-circuit current of the network before and after the equivalence. The load, line resistance, line charging power and non-standard transformation ratio of the transformer are not considered in the calculation. The scan results of the short-circuit current of each node in the research area before and after the equivalence are as follows: Table 3 shows.
表3table 3
由上述表3可以看出,等值前后仅节点new2、new3、new4、new13的短路电流值有微小的差异,进一步分析可以看出这四个节点与边界区域存在直接的联络,其短路电流误差可以归结为舍入误差,即在PSD-SCCP软件中添加新增支路和新增等值发电机的电抗时,对计算数据进行了四舍五入,从而导致附近节点的短路电流计算值出现了微小的差别。由在IEEE39节点系统上的分析计算结果验证了本发明实施例所提供的方法可以保证短路电流的计算精度。It can be seen from the above Table 3 that only the short-circuit current values of nodes new2, new3, new4, and new13 have slight differences before and after the equivalence. Further analysis shows that these four nodes are directly connected with the boundary area, and the short-circuit current error It can be attributed to the rounding error, that is, when adding the reactance of the newly added branch and the newly added equivalent generator in the PSD-SCCP software, the calculated data is rounded, which leads to a small difference in the calculated value of the short-circuit current of the nearby nodes. difference. The analysis and calculation results on the IEEE39 node system verify that the method provided by the embodiment of the present invention can ensure the calculation accuracy of the short-circuit current.
在本发明上述实施例中给出了在地区电网短路电流计算过程中,对外部电网进行等值简化处理,并在等值简化后重构边界区域的电网接线形式,即将外部网络等效成新增线路和新增发电机的形式并入到边界区域中,从而形成仅保留研究区域和边界区域的电网数据,从而显著减少了短路电流计算的电网规模,降低了对计算机内存和仿真软件的要求,提高了电网运行分析人员的工作效率。In the above-mentioned embodiments of the present invention, it is provided that in the calculation process of the short-circuit current of the regional power grid, the equivalent simplification process is performed on the external power grid, and the grid connection form of the boundary area is reconstructed after the equivalent simplification, that is, the external network is equivalent to a new The form of adding lines and new generators is incorporated into the boundary area, so that only the grid data of the research area and the boundary area are retained, thereby significantly reducing the grid scale for short-circuit current calculation, and reducing the requirements for computer memory and simulation software , which improves the work efficiency of power grid operation analysts.
基于同一发明构思,本发明实施例中还提供了一种地区电网短路电流分析装置,如下面的实施例所述。由于地区电网短路电流分析装置解决问题的原理与地区电网短路电流分析方法相似,因此地区电网短路电流分析装置的实施可以参见地区电网短路电流分析方法的实施,重复之处不再赘述。以下所使用的,术语“单元”或者“模块”可以实现预定功能的软件和/或硬件的组合。尽管以下实施例所描述的装置较佳地以软件来实现,但是硬件,或者软件和硬件的组合的实现也是可能并被构想的。图8是本发明实施例的地区电网短路电流分析装置的一种结构框图,如图8所示,包括:区域划分模块801、等值简化模块802、以及分析模块803,下面对该结构进行说明。Based on the same inventive concept, an embodiment of the present invention also provides a regional power grid short-circuit current analysis device, as described in the following embodiments. Since the problem-solving principle of the regional power grid short-circuit current analysis device is similar to the regional power grid short-circuit current analysis method, the implementation of the regional power grid short-circuit current analysis device can refer to the implementation of the regional power grid short-circuit current analysis method, and the repetition will not be repeated. As used below, the term "unit" or "module" may be a combination of software and/or hardware that realizes a predetermined function. Although the devices described in the following embodiments are preferably implemented in software, implementations in hardware, or a combination of software and hardware are also possible and contemplated. Fig. 8 is a kind of structure block diagram of the short-circuit current analysis device of regional power grid of the embodiment of the present invention, as shown in Fig. 8, comprises:
区域划分模块801,用于对电网系统进行区域划分:将需要分析计算短路电流水平的地区划分为研究区域,将与研究区域存在直接联络的地区划分为边界区域,将除研究区域和边界区域以外的地区划分为外部区域;The
等值简化模块802,用于将边界区域和外部区域进行等值化简,形成等值后的边界区域,得到由研究区域和等值后的边界区域组成的等值后的电网系统;The
分析模块803,用于根据等值后的电网系统,分析计算研究区域的短路电流水平。The
在一个实施例中,上述等值简化模块802包括:构建单元,用于按照外部区域、边界区域和研究区域的顺序构建电网系统的节点导纳矩阵;简化单元,用于利用高斯消元法消去节点导纳矩阵中外部区域的部分,形成仅保留边界区域和研究区域的等值后节点导纳矩阵;矩阵确定单元,用于确定等值后节点导纳矩阵中边界区域对应的矩阵元素的变化量矩阵;参数确定单元,用于根据所述变化量矩阵确定等值后的边界区域中增加的发电机、增加的连接支路,以及增加的发电机的电抗参数和增加的连接支路的电抗参数;重构单元,用于根据增加的发电机、增加的连接支路,增加的发电机的电抗参数、增加的连接支路的电抗参数、以及发电机与连接支路之间的连接方式进行网络重构形成等值后的电网系统。In one embodiment, the above-mentioned
在一个实施例中,所述参数确定单元包括:第一节点号确定子单元,用于确定增加的连接支路两端的节点号;第一参数确定子单元,用于取变化量矩阵中与两端的节点号对应的元素的负倒数,作为增加的连接支路的电抗参数。In one embodiment, the parameter determination unit includes: a first node number determination subunit, used to determine the node numbers at both ends of the added connection branch; a first parameter determination subunit, used to obtain the difference between the two The negative reciprocal of the element corresponding to the node number of the end is used as the reactance parameter of the added connection branch.
在一个实施例中,所述参数确定单元包括:第二节点号确定子单元,用于确定与增加的发电机相连的节点的节点号;累加单元,用于将外部区域中与该节点号的节点直接相连的连接支路的导纳、变化量矩阵中该节点号所在行上的各个元素作相加运算得到总导纳;第二参数确定子单元,用于取总导纳的倒数作为增加的发电机的电抗参数。In one embodiment, the parameter determination unit includes: a second node number determination subunit, used to determine the node number of the node connected to the added generator; The admittance of the connecting branch directly connected to the node and each element on the row of the node number in the variation matrix are summed to obtain the total admittance; the second parameter determines the subunit, which is used to take the reciprocal of the total admittance as the increase The reactance parameters of the generator.
在一个实施例中,矩阵确定单元包括:节点数确定子单元,用于确定边界区域中节点的个数;计算子单元,用于在边界区域中节点的个数小于预定阈值的情况下,采用线性方程求解的方法计算变化量矩阵。在一个具体实施中,上述预定阈值可以取值为6。In one embodiment, the matrix determination unit includes: a node number determination subunit, configured to determine the number of nodes in the boundary area; a calculation subunit, used to determine the number of nodes in the boundary area if the number is less than a predetermined threshold, using The method of linear equation solving computes the delta matrix. In a specific implementation, the aforementioned predetermined threshold may take a value of 6.
在另外一个实施例中,还提供了一种软件,该软件用于执行上述实施例及优选实施方式中描述的技术方案。In another embodiment, software is also provided, and the software is used to implement the technical solutions described in the above embodiments and preferred implementation manners.
在另外一个实施例中,还提供了一种存储介质,该存储介质中存储有上述软件,该存储介质包括但不限于:光盘、软盘、硬盘、可擦写存储器等。In another embodiment, there is also provided a storage medium, in which the software is stored, the storage medium includes but not limited to: optical discs, floppy disks, hard disks, rewritable memories, and the like.
从以上的描述中,可以看出,本发明实施例实现了如下技术效果:将电网系统中需要分析计算短路电流水平的地区划分为研究区域,然后将与研究区域存在直接联络的地区划分为边界区域,将除了研究区域和边界区域之外的地区划分为外部区域,然后将该电网系统等值简化为仅包含研究区域和等值后的边界区域的电网系统,最后通过等值后的电网系统分析计算研究区域的短路电流水平,因为等值简化后的电网系统中不再存在外部区域,因此在分析计算短路电流水平时所需的数据量将明显减少。通过上述方式有效解决了现有技术中难以在保证短路电流计算精度的同时,减少短路电流分析时的数据量的技术问题,达到了在保证短路电流计算精度的基础上,减少短路电流分析时的数据量和计算量的技术效果。From the above description, it can be seen that the embodiment of the present invention achieves the following technical effects: divide the area in the grid system that needs to analyze and calculate the short-circuit current level into the research area, and then divide the area directly connected with the research area into the boundary area, divide the area except the study area and the boundary area into external areas, then simplify the grid system equivalent to a grid system that only includes the study area and the equivalent boundary area, and finally pass the equivalent grid system Analyzing and calculating the short-circuit current level of the research area, because there is no external area in the grid system after equivalent simplification, so the amount of data required for the analysis and calculation of the short-circuit current level will be significantly reduced. The above method effectively solves the technical problem in the prior art that it is difficult to reduce the amount of data in short-circuit current analysis while ensuring the calculation accuracy of short-circuit current, and achieves the reduction of short-circuit current analysis on the basis of ensuring the calculation accuracy of short-circuit current Technical effects of data volume and computation volume.
显然,本领域的技术人员应该明白,上述的本发明实施例的各模块或各步骤可以用通用的计算装置来实现,它们可以集中在单个的计算装置上,或者分布在多个计算装置所组成的网络上,可选地,它们可以用计算装置可执行的程序代码来实现,从而,可以将它们存储在存储装置中由计算装置来执行,并且在某些情况下,可以以不同于此处的顺序执行所示出或描述的步骤,或者将它们分别制作成各个集成电路模块,或者将它们中的多个模块或步骤制作成单个集成电路模块来实现。这样,本发明实施例不限制于任何特定的硬件和软件结合。Obviously, those skilled in the art should understand that each module or each step of the above-mentioned embodiments of the present invention can be implemented by a general-purpose computing device, and they can be concentrated on a single computing device, or distributed among multiple computing devices. Optionally, they may be implemented in program code executable by a computing device, thereby, they may be stored in a storage device to be executed by a computing device, and in some cases, may be implemented in a code different from that described herein The steps shown or described are executed in sequence, or they are fabricated into individual integrated circuit modules, or multiple modules or steps among them are fabricated into a single integrated circuit module for implementation. Thus, embodiments of the invention are not limited to any specific combination of hardware and software.
以上所述仅为本发明的优选实施例而已,并不用于限制本发明,对于本领域的技术人员来说,本发明实施例可以有各种更改和变化。凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. For those skilled in the art, various modifications and changes may be made to the embodiments of the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included within the protection scope of the present invention.
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