CN108037414B - A fault location method for distribution network based on hierarchical model and intelligent verification algorithm - Google Patents
A fault location method for distribution network based on hierarchical model and intelligent verification algorithm Download PDFInfo
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Abstract
本发明涉及一种基于分层模型和智能校验算法的配电网故障定位方法。对配电网故障定位模型的各支路进行二端口等效,使得定位模型的开关函数的维度大幅减小,结构大幅简化;将定位算法分为故障端口定位和故障区段定位两层,明显降低了故障定位算法的运算维度;利用故障区段定位的绝对可靠性,对故障端口定位结果进行反馈校验,有效弥补了定位算法故障辨识结果不稳定的缺陷。本发明方法在具有较好的容错性和稳定性的同时,极大简化了故障辨识模型和提高了故障定位效率,该方法特别适用于高渗透率、大型配电网的故障定位。
The invention relates to a distribution network fault location method based on a hierarchical model and an intelligent verification algorithm. The two-port equivalent of each branch of the distribution network fault location model greatly reduces the dimension of the switching function of the location model and greatly simplifies the structure; the location algorithm is divided into two layers: fault port location and fault segment location. The operation dimension of the fault location algorithm is reduced; the absolute reliability of the fault location location is used to feedback and verify the location result of the fault port, which effectively makes up for the defect that the fault identification result of the location algorithm is unstable. The method of the invention has good fault tolerance and stability, and greatly simplifies the fault identification model and improves the efficiency of fault location. The method is especially suitable for fault location of high-penetration and large-scale distribution networks.
Description
技术领域technical field
本发明涉及配电网故障定位、隔离、与供电恢复领域,具体涉及一种基于分层模型和智能校验算法的配电网故障定位方法。The invention relates to the field of distribution network fault location, isolation and power supply recovery, in particular to a distribution network fault location method based on a hierarchical model and an intelligent verification algorithm.
背景技术Background technique
随着更加清洁、高效的分布式电源(DG)大量接入电网和用电负荷的不断上涨,配电系统的结构和潮流日益趋向大型化、复杂化,传统的单源辐射型网络的故障定位方法变得不再适用。针对含分布式电源的配电网故障定位问题,至今已形成基于矩阵理论的直接定位算法和采用人工智能技术的间接定位方法。区段定位矩阵算法具有建模简单、定位高效准确等优点,但同时存在容错性低和通用性不强的缺陷。基于人工智能技术的故障定位方法,依据状态逼近思想和故障诊断最小集原理,采用优化理论对故障区段辨识模型进行建模,具有通用性强和容错性高等优点。其中,群体智能算法在故障辨识过程中易于处理离散变量,理论上可获得全局最优决策,成为当前该领域研究的热点。With a large number of cleaner and more efficient distributed power sources (DG) connected to the power grid and the increasing power load, the structure and trend of the power distribution system are becoming larger and more complex. The traditional single-source radiation network fault location method becomes no longer applicable. Aiming at the problem of fault location in distribution network with distributed power generation, a direct location algorithm based on matrix theory and an indirect location method using artificial intelligence technology have been formed. The segment positioning matrix algorithm has the advantages of simple modeling, efficient and accurate positioning, etc., but it also has the defects of low fault tolerance and low generality. The fault location method based on artificial intelligence technology, according to the state approximation idea and the principle of the minimum set of fault diagnosis, adopts the optimization theory to model the fault segment identification model, which has the advantages of strong versatility and high fault tolerance. Among them, the swarm intelligence algorithm is easy to deal with discrete variables in the process of fault identification, and theoretically obtains the global optimal decision, which has become a hot research topic in this field.
现有的群体智能算法在含分布式电源的配电网故障定位中,主要有三类。第一类是根据配电网的结构特点,直接采用单层模型和单一智能算法或其改进算法进行配电网故障定位。该类方法的开关函数构建比较复杂,在提高故障定位容错性、效率和稳定性方面局限性较大。第二类采用利用多个种群并行进化和信息交互策略进行故障定位,在一定层度上提高了智能算法的容错性和稳定性,但是采用的依然是单层辨识模型,在面对大规模、高渗透率配电网时,基于逻辑或的开关函数构建依然相当复杂,故障辨识效率低;采用的算法还是没有摆脱故障定位结果不稳定局限。第三类将分区的思想引入故障定位当中,通过区域划分来减小智能算法的维度,提高了故障定位的搜索效率,但是,在面对大规模、高渗透率配电网时,搜索维度依然较大,基于逻辑或的开关函数构建依然相当复杂,智能算法辨识结果还是存在不稳定的问题。There are three main types of existing swarm intelligence algorithms for fault location in distribution networks with distributed power sources. The first type is to directly use a single-layer model and a single intelligent algorithm or its improved algorithm to locate the fault of the distribution network according to the structural characteristics of the distribution network. The construction of the switching function of this type of method is relatively complicated, and it has great limitations in improving the fault tolerance, efficiency and stability of fault location. The second type uses the parallel evolution of multiple populations and information interaction strategies for fault location, which improves the fault tolerance and stability of the intelligent algorithm to a certain level, but still uses a single-layer identification model. In the high-penetration distribution network, the construction of the switching function based on logical OR is still quite complicated, and the fault identification efficiency is low; the algorithm used is still not free from the limitation of unstable fault location results. The third type introduces the idea of zoning into fault location, and reduces the dimension of intelligent algorithms through regional division, which improves the search efficiency of fault location. However, in the face of large-scale, high-penetration distribution networks, the search dimension is still Large, the construction of switching function based on logical OR is still quite complicated, and the identification result of intelligent algorithm still has the problem of instability.
综上所述,间接建模的配电网故障区段定位人工智能方法,理论上已取得丰硕成果,但该类方法还存在以下问题:1)采用逻辑关系描述故障区段与设备间的匹配关联特性,使得故障定位模型构建相对比较复杂,尤其在高渗透率、大型配电网中,定位建模异常复杂;2)采用的单层群体智能算法在大规模配电网故障区段定位中的运算维度巨大,效率过低;3)单纯依靠智能算法进行故障定位存在辨识结果不稳定的本质缺陷。To sum up, the artificial intelligence method of indirect modeling of fault section location in distribution network has achieved fruitful results in theory, but this type of method still has the following problems: 1) Use logical relationships to describe the matching between fault sections and equipment The correlation characteristics make the construction of the fault location model relatively complicated, especially in high-penetration and large-scale distribution networks, the location modeling is extremely complex; 2) The single-layer swarm intelligence algorithm used is used in the location of fault sections in large-scale distribution networks. The computational dimension is huge and the efficiency is too low; 3) There is an essential defect that the identification results are unstable by simply relying on the intelligent algorithm to locate the fault.
发明内容SUMMARY OF THE INVENTION
本发明的目的在于提供一种基于分层模型和智能校验算法的配电网故障定位方法,结合配电网的结构特点,在分析开关函数逻辑规律的基础上,提出一种以多分支节点为边界、对各支路进行端口等效的方法,将配电网划分成多个区域,进而构建出故障定位的分层模型,极大减小了开关函数构建的复杂程度;第一层定位故障区域、第二层定位故障区段的分层定位策略使得故障区域定位维度明显减小,提高了故障定位的效率;结合第二层所含节点数量少的特点,将0-1整数规划中的穷举法引入区段定位中,对采用智能算法的故障区域定位结果进行反馈校验,使得整个故障辨识过程稳定性、容错性都有较大提高;在渗透率越高、节点数越多的配电网故障定位中,分层模型和分层智能校验算法优势越明显。The purpose of the present invention is to provide a distribution network fault location method based on a hierarchical model and an intelligent verification algorithm. Combined with the structural characteristics of the distribution network, on the basis of analyzing the logic law of the switching function, a method based on multi-branch nodes is proposed. For the boundary and the method of port equivalence for each branch, the distribution network is divided into multiple areas, and then a hierarchical model of fault location is constructed, which greatly reduces the complexity of the construction of the switching function; the first layer of localization The hierarchical positioning strategy of fault area and fault area on the second layer reduces the fault area positioning dimension significantly and improves the efficiency of fault location. Combined with the characteristics of the small number of nodes in the second layer, the 0-1 integer planning The exhaustive method is introduced into the segment location, and the result of the fault location location using the intelligent algorithm is fed back and verified, so that the stability and fault tolerance of the whole fault identification process are greatly improved; the higher the penetration rate, the more the number of nodes. The advantages of hierarchical model and hierarchical intelligent verification algorithm are more obvious in fault location of the distribution network of 2000-2000.
为实现上述目的,本发明的技术方案是:一种基于分层模型和智能校验算法的配电网故障定位方法,首先对含分布式电源的配电网以多分支节点为边界进行支路划分,对每条支路等进行二端口等效,每个二端口含有一个区域和一个区域节点;当故障发生时,FTU采集的整个配电网所有节点状态信息,并上传SCADA系统;区域定位算法从SCADA系统中读取所有区域节点的状态信息,将故障定位到具体区域;区段定位算法读取故障二端口内部所有节点的状态信息,将故障定位到具体区段;利用区段定位结果对区域定位进行校验,若一致,则输出定位结果;若不一致,将区段定位结果返回并作为第二次区域定位的初始赋值,然后重复定位过程,直到输出结果。In order to achieve the above object, the technical scheme of the present invention is: a method for locating faults in a distribution network based on a hierarchical model and an intelligent verification algorithm. Divide and perform two-port equivalent for each branch, each two-port contains one area and one area node; when a fault occurs, the FTU collects the status information of all nodes in the entire distribution network and uploads it to the SCADA system; area positioning; The algorithm reads the status information of all regional nodes from the SCADA system, and locates the fault to a specific area; the section locating algorithm reads the status information of all nodes in the faulty second port, and locates the fault to a specific section; using the section positioning results Verify the area positioning, if it is consistent, output the positioning result; if not, return the segment positioning result as the initial assignment of the second area positioning, and then repeat the positioning process until the result is output.
在本发明一实施例中,该方法具体实现如下,In an embodiment of the present invention, the method is specifically implemented as follows:
步骤S1、对含DG配电网各支路进行二端口等效:Step S1, perform two-port equivalence on each branch of the distribution network including DG:
在含DG配电网故障定位中,开关函数一般采用以下基于逻辑关系的式子进行构建:In the fault location of the distribution network with DG, the switching function is generally constructed by the following formula based on the logical relationship:
Ij(s)=Iju(s)-Ijd(s) (3)I j (s)=I ju (s)-I jd (s) (3)
Ij(s)表示开关函数,Iju(s)、Ijd(s)分别表示上游开关函数和下游开关函数;分别表示从节点j到上游电源su、节点j到下游电源sd之间区段的状态,su和sd包括主电源S、分布式电源DG、感性负荷L三种类型,M′、N′分别为上游电源的个数和下游电源个数;sj,d、sj,u分别表示节点j到下游、节点j到上游之间所有区段的状态,M、N分别为上游所有区段的个数和下游所有区段的个数;Π表示逻辑或,Ku、Kd分别表示上游和下游的电源系数,电源接入则为1,电源退出则为0;I j (s) represents the switching function, and I ju (s) and I jd (s) represent the upstream switching function and the downstream switching function, respectively; respectively represent the state of the section from node j to upstream power source s u , and from node j to downstream power source s d , s u and s d include three types of main power source S, distributed power source DG, and inductive load L, M′, N' is the number of upstream power sources and the number of downstream power sources, respectively; s j,d , s j,u represent the status of all sections between node j and downstream, node j and upstream, respectively, M, N are all upstream The number of sections and the number of all downstream sections; Π represents logical OR, K u and K d represent the upstream and downstream power coefficients, respectively, 1 when the power is connected, and 0 when the power is withdrawn;
以配电网三分支节点为例,分析开关函数构建中的逻辑规律:Taking the three-branch node of the distribution network as an example, the logic rules in the construction of the switching function are analyzed:
设该配电网三分支节点包括三条分支a、b、c,分支a包括1、2、3三个节点及(1)、(2)、(3)区段,分支b包括4、5、6三个节点及(4)、(5)、(6)区段,分支c包括7、8、9三个节点及(7)、(8)、(9)区段;It is assumed that the three-branch node of the distribution network includes three branches a, b, and c. 6 three nodes and (4), (5), (6) sections, branch c includes 7, 8, 9 three nodes and (7), (8), (9) sections;
当分支c上的区段(7)、(8)、(9)任一区段单独发生故障或任二区段同时发生故障时,根据公式(1)、(2)、(3),可得:When any one of the sections (7), (8) and (9) on branch c fails alone or any two sections fail at the same time, according to formulas (1), (2), (3), it can be have to:
分支a上所节点的开关函数满足:The switching function of the nodes on branch a satisfies:
I1(s)=I2(s)=I3(s)=1 (4)I 1 (s)=I 2 (s)=I 3 (s)=1 (4)
分支b上的所有开关函数满足:All switch functions on branch b satisfy:
I4(s)=I5(s)=I6(s)=-1 (5)I 4 (s)=I 5 (s)=I 6 (s)=-1 (5)
由此可得:只要故障在分支c上,无论哪个区段故障或者多个区段同时故障,分支c对其他支路开关函数构建的影响相同;根据等效定则,支路c的区段(7)、(8)、(9)在构建开关函数时,整个支路看成无源网络,对外等效成一个二端口,且两个端子分别为k1,k2;同理分支b在构建开关函数时,可以对外等效成一个二端口,两个端子分别为k3,k4;分支a在构建开关函数时,可以对外等效成一个二端口,两个端子分别为k5,k6;It can be obtained that as long as the fault is on branch c, no matter which section fails or multiple sections fail at the same time, the influence of branch c on the construction of other branch switching functions is the same; according to the equivalence rule, the section of branch c (7), (8), (9) When constructing the switch function, the entire branch is regarded as a passive network, which is equivalent to a two-port externally, and the two terminals are k 1 , k 2 respectively; the same is true for branch b When constructing the switch function, it can be equivalent to a two-port externally, and the two terminals are k 3 and k 4 ; when the switch function is constructed, the branch a can be externally equivalent to a two-port, and the two terminals are k 5 respectively. , k 6 ;
步骤S2、构建故障定位分层模型:Step S2, build a fault location hierarchical model:
将三个等效端口进行星型连接,中性点即为三分支节点,三条出线分别连接主电源S、分布式电源DG、感性负荷L,得到分层模型:三分支节点,三个等效二端口a、b、c,三个等效电源S、DG、L;其中,主电源S、分布式电源DG、感性负荷L构成第一层定位模型,三个等效二端口a、b、c内部为第二层定位模型;The three equivalent ports are connected in a star shape, the neutral point is the three-branch node, and the three outgoing lines are respectively connected to the main power source S, the distributed power source DG, and the inductive load L to obtain a hierarchical model: three-branch node, three equivalent Two ports a, b, c, three equivalent power sources S, DG, L; among them, the main power source S, distributed power source DG, and inductive load L constitute the first-layer positioning model, and three equivalent two ports a, b, The inner part of c is the second layer positioning model;
步骤S3、故障区域定位:Step S3, locating the fault area:
采集各个二端口区域节点状态编码信息,利用式(1)、(2)、(3)构建整个配电网关于区域的开关函数,利用式(6)构建故障区域定位的适应度函数,然后根据BPSOGA算法,将故障定位到故障区域;Collect the state code information of each two-port area node, use equations (1), (2), (3) to construct the switching function of the entire distribution network about the area, and use equation (6) to construct the fitness function of fault area location, and then according to BPSOGA algorithm to locate the fault to the fault area;
其中,fit(n)表示第n个个体的适应度值,等效二端口个数为D,整个配电网络的节点数为T;Ij为区域节点FTU采集的故障电流方向信息,Ij(s)是关于区域的开关函数,si为区域状态编码,η为权系数;Among them, fit(n) represents the fitness value of the nth individual, the equivalent number of two ports is D, and the number of nodes in the entire distribution network is T; I j is the fault current direction information collected by the regional node FTU, I j (s) is the switch function about the region, s i is the region state code, and n is the weight coefficient;
步骤S4、故障区段定位:Step S4, fault section location:
在每个故障二端口内部,系统采集区段节点状态编码信息,利用双源网络开关函数公式(7)或单源开关函数公式(8)构建关于区段的开关函数,利用式(9)构建区段定位的适应度函数,然后根据穷举法,将故障定位到具体区段;Inside each fault two-port, the system collects the node state coding information of the segment, uses the dual-source network switch function formula (7) or the single-source switch function formula (8) to construct the switch function about the segment, and uses the formula (9) to construct The fitness function of segment location, and then locate the fault to a specific segment according to the exhaustive method;
其中,fit(n)表示第n个个体的适应度值,每个故障区域包含的个体数为D1,整个配电网的节点个数为T。Ij为故障二端口内部所有区段节点FTU采集的故障电流方向信息,Ij(s)是关于区段的开关函数,si为区段状态编码,η为权系数;Among them, fit(n) represents the fitness value of the nth individual, the number of individuals included in each fault area is D 1 , and the number of nodes in the entire distribution network is T. I j is the fault current direction information collected by all section nodes FTU inside the fault two port, I j (s) is the switching function about the section, s i is the section state code, and n is the weight coefficient;
步骤S5、定位反馈校验:Step S5, positioning feedback verification:
在区段定位后,根据校验判据判别区域定位结果与区段定位结果是否一致;若结果不一致,将区段定位的结果返回区域定位,以区段定位结果为初始赋值,计算适应度,若此适应度值大于第一次区域定位的群体最优适应度值,则直接跳入区段定位;若此适应度值小于第一次区域定位的群体最优适应度值,则进行故障区域定位和区段定位,若区段定位结果一致,则输出定位结果,若仍然不一致,进入下次校验循环,直到区域定位结果和区段定位结果一致。After segment positioning, judge whether the area positioning result is consistent with the segment positioning result according to the verification criterion; if the results are inconsistent, return the segment positioning result to the area positioning, and use the segment positioning result as the initial assignment to calculate the fitness, If the fitness value is greater than the group optimal fitness value of the first regional positioning, jump directly into the segment positioning; if the fitness value is smaller than the group optimal fitness value of the first regional positioning, the fault area Positioning and section positioning, if the section positioning results are consistent, the positioning results will be output. If they are still inconsistent, enter the next verification cycle until the section positioning results are consistent with the section positioning results.
在本发明一实施例中,所述步骤S5中,校验判据的确定方法如下:In an embodiment of the present invention, in the step S5, the method for determining the verification criterion is as follows:
a)若误判的区域是单源网络,此时区段节点状态编码为Ij=[000],根据式(8)计算开关函数,根据式(9)计算适应度,当区段状态编码为sj=[000]时,适应度取最大值:a) If the misjudged area is a single-source network, then the segment node state code is I j = [000], the switch function is calculated according to equation (8), and the fitness is calculated according to equation (9), when the segment state code is When s j =[000], the fitness takes the maximum value:
fitmax=2T-(|0|+η·0)=2T (10)fit max =2T-(|0|+η·0)=2T (10)
于是得出区段状态编码为sj=[000],据此可以判定该故障区域不存在故障区段;Therefore, it is obtained that the segment state code is s j =[000], according to which it can be determined that there is no faulty segment in the faulty area;
b)当误判的区域是双源网络时,b) When the misjudged area is a dual-source network,
此时区段节点状态编码为Ij=[111]or[-1-1-1],根据式(7)计算开关函数,根据式(9)计算适应度,当区段状态编码为Ij=[100]or[001]即边界区段故障时,适应度取最大值:At this time, the segment node state code is I j =[111]or[-1-1-1], the switch function is calculated according to equation (7), and the fitness is calculated according to equation (9), when the segment state code is I j = [100] or [001] that is, when the boundary section fails, the fitness takes the maximum value:
fitmax1=2T-(|1+1|+η·1)=2T-2.5 (11)fit max1 =2T-(|1+1|+η·1)=2T-2.5 (11)
若该区域实际存在故障即Ij≠[111]or[-1-1-1],则最大适应度的可能最小值为:If there is actually a fault in the area, that is, I j ≠[111]or[-1-1-1], the possible minimum value of the maximum fitness is:
fitmax2=2T-(|0|+η·2)=2T-1 (12)fit max2 =2T-(|0|+η·2)=2T-1 (12)
可见,对于双源网络虽然不能用区段状态编码对误判区域进行校验,但是可以通过最大适应度的偏差范围来进行校验,当最大适应度值超出[2T-1,2T+1]范围时,判定该故障区域不存在故障区段。It can be seen that although the segment state code cannot be used to check the misjudged area for the dual-source network, it can be checked by the deviation range of the maximum fitness. When the maximum fitness value exceeds [2T-1, 2T+1] When it is within the range, it is determined that there is no fault section in the fault area.
相较于现有技术,本发明具有以下有益效果:Compared with the prior art, the present invention has the following beneficial effects:
(1)本发明基于配电网拓扑和开关函数的特点建立配电网故障定位的分层模型,能大幅减小开关函数建立的维度和定位模型的复杂程度;(1) The present invention establishes a hierarchical model of distribution network fault location based on the characteristics of distribution network topology and switching function, which can greatly reduce the dimension established by the switching function and the complexity of the location model;
(2)分层模型使得故障区域定位的运算维度大幅减小,与高效的区段定位方法一起,使的整个故障定位的效率极大提高;(2) The hierarchical model greatly reduces the operational dimension of fault area location, and together with the efficient segment location method, the efficiency of the entire fault location is greatly improved;
(3)利用二次区段定位结果对一次区域定位结果进行校验,纠正区域定位的误判,进一步提高了整个定位的容错性;(3) Use the secondary section positioning results to verify the primary area positioning results, correct the misjudgment of the area positioning, and further improve the fault tolerance of the entire positioning;
(4)利用穷举法的绝对稳定性,弥补智能算法的易收敛于局部最优的缺陷,提高定了整个定位的稳定性,准确性;(4) Use the absolute stability of the exhaustive method to make up for the defect of the intelligent algorithm that is easy to converge to the local optimum, and improve the stability and accuracy of the entire positioning;
(5)本发明构建的故障定位模型和策略特别适用于高渗透率、大型配电网的故障定位问题。(5) The fault location model and strategy constructed by the present invention are especially suitable for the fault location problem of high penetration rate and large distribution network.
附图说明Description of drawings
图1为T型配电网拓扑图。Figure 1 shows the topology of the T-type distribution network.
图2为支路c的等效二端口。Figure 2 shows the equivalent two-port of branch c.
图3为支路b的等效二端口。Figure 3 shows the equivalent two-port of branch b.
图4为支路a等效二端口。Figure 4 is an equivalent two-port of branch a.
图5为T型配电网分层模型图。Figure 5 is a layered model diagram of a T-type distribution network.
图6为单源网络区段定位。Figure 6 is a single source network segment location.
图7为双源网络区段定位。Figure 7 shows dual-source network segment positioning.
图8为故障定位流程图。Figure 8 is a flowchart of fault location.
图9为配电网案例分析图。Figure 9 is an analysis diagram of a distribution network case.
图10为第一层定位模型图。Figure 10 is a diagram of the first layer positioning model.
图11为四种方法迭代过程对比。Figure 11 is a comparison of the iterative process of the four methods.
具体实施方式Detailed ways
下面结合附图,对本发明的技术方案进行具体说明。The technical solutions of the present invention will be described in detail below with reference to the accompanying drawings.
本发明的一种基于分层模型和智能校验算法的配电网故障定位方法,首先对含分布式电源的配电网以多分支节点为边界进行支路划分,对每条支路等进行二端口等效,每个二端口含有一个区域和一个区域节点;当故障发生时,FTU采集的整个配电网所有节点状态信息,并上传SCADA系统;区域定位算法从SCADA系统中读取所有区域节点的状态信息,将故障定位到具体区域;区段定位算法读取故障二端口内部所有节点的状态信息,将故障定位到具体区段;利用区段定位结果对区域定位进行校验,若一致,则输出定位结果;若不一致,将区段定位结果返回并作为第二次区域定位的初始赋值,然后重复定位过程,直到输出结果。The present invention provides a method for locating faults in a distribution network based on a hierarchical model and an intelligent verification algorithm. First, the distribution network with distributed power sources is divided into branches with multi-branch nodes as the boundary, and each branch is divided into branches. The two ports are equivalent, and each two ports contain one area and one area node; when a fault occurs, the FTU collects the status information of all nodes in the entire distribution network and uploads it to the SCADA system; the area location algorithm reads all areas from the SCADA system The state information of the node is used to locate the fault to a specific area; the segment location algorithm reads the state information of all nodes inside the faulty two-port, and locates the fault to a specific segment; uses the segment location result to verify the area location, if the same , the positioning result is output; if it is inconsistent, the segment positioning result is returned as the initial assignment of the second region positioning, and then the positioning process is repeated until the result is output.
具体的本发明的一种基于分层模型和智能校验算法的配电网故障定位方法,所述定位方法包括如下步骤:Specifically, a method for locating faults in a distribution network based on a hierarchical model and an intelligent verification algorithm of the present invention includes the following steps:
步骤一:对含DG配电网各支路进行二端口等效。Step 1: Perform two-port equivalence for each branch of the distribution network including DG.
在含DG配电网故障定位中,开关函数一般采用以下基于逻辑关系的式子进行构建:In the fault location of the distribution network with DG, the switching function is generally constructed by the following formula based on the logical relationship:
Ij(s)=Iju(s)-Ijd(s) (3)I j (s)=I ju (s)-I jd (s) (3)
Ij(s)表示开关函数,Iju(s)、Ijd(s)分别表示上游开关函数和下游开关函数;分别表示从节点j到上游电源su、节点j到下游电源sd之间区段的状态,su和sd包括主电源S、分布式电源DG、感性负荷L三种类型,M′、N′分别为上游电源的个数和下游电源个数;sj,d、sj,u分别表示节点j到下游、节点j到上游之间所有区段的状态,M、N分别为上游所有区段的个数和下游所有区段的个数;Π表示逻辑或,Ku、Kd分别表示上游和下游的电源系数,电源接入则为1,电源退出则为0。I j (s) represents the switching function, and I ju (s) and I jd (s) represent the upstream switching function and the downstream switching function, respectively; respectively represent the state of the section from node j to upstream power source s u , and from node j to downstream power source s d , s u and s d include three types of main power source S, distributed power source DG, and inductive load L, M′, N' is the number of upstream power sources and the number of downstream power sources, respectively; s j,d , s j,u represent the status of all sections between node j and downstream, node j and upstream, respectively, M, N are all upstream The number of sections and the number of all downstream sections; Π represents logical OR, K u and K d represent the upstream and downstream power coefficients, respectively, 1 when the power is connected, and 0 when the power is withdrawn.
多分支节点(三个及三个以上)是配电网拓扑结构的重要组成部分,决定着配电网拓扑结构的复杂程度,也就决定着开关函数构建的复杂程度。故以配电网三分支节点(T型节点)为例,如图1所示,分析开关函数构建中的逻辑规律:Multi-branch nodes (three or more) are an important part of the distribution network topology, which determines the complexity of the distribution network topology, which also determines the complexity of the switching function construction. Therefore, take the three-branch node (T-type node) of the distribution network as an example, as shown in Figure 1, to analyze the logic law in the construction of the switching function:
1)当分支c上的区段(7)发生故障时,有s7=1、si≠7=0,根据公式(1)、(2)、(3),得出分支a上节点1的开关函数为:1) When the segment (7) on branch c fails, there are s 7 =1, s i≠7 =0, according to formulas (1), (2), (3), the node 1 on branch a is obtained The switch function is:
I1u(s)=(1-s1|s2|s3)|(1-s4|s5|s6)*(s7|s8|s9)=1 (4)I 1u (s)=(1-s 1 |s 2 |s 3 )|(1-s 4 |s 5 |s 6 )*(s 7 |s 8 |s 9 )=1 (4)
I1d(s)=(1-s7|s8|s9)*(s4|s5|s6|s7|s8|s9)=0 (5)I 1d (s)=(1-s 7 |s 8 |s 9 )*(s 4 |s 5 |s 6 |s 7 |s 8 |s 9 )=0 (5)
I1(s)=I1u(s)-I1d(s)=1 (6)I 1 (s)=I 1u (s)-I 1d (s)=1 (6)
同理可得分支a上节点2、3和分支b上节点4、5、6的开关函数为:Similarly, the switching functions of nodes 2, 3 on branch a and nodes 4, 5, and 6 on branch b can be obtained as:
I2(s)=I2u(s)-I2d(s)=1 (7)I 2 (s)=I 2u (s)-I 2d (s)=1 (7)
I3(s)=I3u(s)-I3d(s)=1 (8)I 3 (s)=I 3u (s)-I 3d (s)=1 (8)
I4(s)=I4u(s)-I4d(s)=-1 (9)I 4 (s)=I 4u (s)-I 4d (s)=-1 (9)
I5(s)=I5u(s)-I5d(s)=-1 (10)I 5 (s)=I 5u (s)-I 5d (s)=-1 (10)
I6(s)=I6u(s)-I6d(s)=-1 (11)I 6 (s)=I 6u (s)-I 6d (s)=-1 (11)
很明显,分支a上所节点的开关函数满足:Obviously, the switching function of the nodes on branch a satisfies:
I1(s)=I2(s)=I3(s)=1 (12)I 1 (s)=I 2 (s)=I 3 (s)=1 (12)
分支b上的所有开关函数满足:All switch functions on branch b satisfy:
I4(s)=I5(s)=I6(s)=-1 (13)I 4 (s)=I 5 (s)=I 6 (s)=-1 (13)
2)当分支c上的区段(8)发生故障时,根据开关函数构建公式,得出分支a上的开关函数为:I1(s)=I2(s)=I3(s)=1,依然满足式(12),分支b上的开关函数为:I4(s)=I5(s)=I6(s)=-1,依然满足式(13)。同理当区段(9)发生故障时,分支a上的开关函数满足式(12),分支b上的开关函数满足式(13)。2) When the section (8) on branch c fails, construct the formula according to the switching function, and obtain the switching function on branch a as: I 1 (s)=I 2 (s)=I 3 (s)= 1. Equation (12) is still satisfied, and the switching function on branch b is: I 4 (s)=I 5 (s)=I 6 (s)=-1, which still satisfies Equation (13). Similarly, when the section (9) fails, the switching function on branch a satisfies equation (12), and the switching function on branch b satisfies equation (13).
3)当分支c上的区段(7)和(8)同时发生故障时,分支a上的开关函数依然满足式(12),分支b上的开关函数也满足式(13)。同理,区段(7)和(9),区段(8)和(9)发生双重故障时,分支a、b依然满足式(12)、(13)。3) When sections (7) and (8) on branch c fail at the same time, the switching function on branch a still satisfies equation (12), and the switching function on branch b also satisfies equation (13). Similarly, when double faults occur in sections (7) and (9), and sections (8) and (9), branches a and b still satisfy equations (12) and (13).
通过以上分析,可以得出以下结论:只要故障在分支c上,无论哪个区段故障或者多个区段同时故障,支路c对其他支路开关函数构建的影响相同。根据等效定则,支路c的区段(7)、(8)、(9)在构建开关函数时可以合成一个“广义区段”即区域,节点7、8、9合成一个“广义区段节点”即区域节点,整个支路看成无源网络,“对外等效成”一个二端口,两个端子分别为k1,k2,如图2所示。Through the above analysis, the following conclusions can be drawn: as long as the fault is on branch c, no matter which section fails or multiple sections fail at the same time, the influence of branch c on the construction of other branch switching functions is the same. According to the equivalence rule, the sections (7), (8), and (9) of branch c can be synthesized into a "generalized section" when constructing the switching function, that is, the area, and nodes 7, 8, and 9 can be synthesized into a "generalized section". "Segment node" is the regional node, the whole branch is regarded as a passive network, and "externally equivalent to" a two-port, and the two terminals are k 1 and k 2 respectively, as shown in Figure 2.
在分支b上设置单一故障和双重故障,依据上述结论,构建其他非故障支路a、c的开关函数,可以发现:支路b在构建开关函数时也可以“对外等效成”一个二端口,两个端子分别为k3,k4,如图3所示。Set single fault and double fault on branch b. According to the above conclusions, construct the switching functions of other non-faulty branches a and c. It can be found that branch b can also be "externally equivalent" to a two-port when constructing the switching function. , the two terminals are respectively k 3 and k 4 , as shown in Figure 3.
同理,在分支a上设置单一故障和双重故障,构建其他非故障支路b、c的开关函数,可以得出:支路a在构建开关函数时可以“对外等效成”一个二端口,两个端子分别为k5,k6,如图4所示。In the same way, set a single fault and a double fault on branch a, and construct the switching functions of other non-faulty branches b and c. It can be concluded that branch a can be "externally equivalent" to a two-port when constructing a switching function, The two terminals are respectively k 5 and k 6 , as shown in FIG. 4 .
步骤二:构建故障定位分层模型。Step 2: Build a fault location hierarchical model.
将三个等效端口进行星型连接,中性点即为三分支节点,三条出线分别连接主电源S、分布式电源DG、感性负荷L,得到图1的分层模型如图5所示。三分支节点、三个等效二端口(a、b、c)、三个等效电源(主电源S、分布式电源DG、感性负荷L)构成第一层定位模型,三个等效二端口内部为第二层定位模型。The three equivalent ports are connected in a star shape, the neutral point is the three-branch node, and the three outgoing lines are respectively connected to the main power source S, the distributed power source DG, and the inductive load L. The hierarchical model of Figure 1 is shown in Figure 5. Three-branch nodes, three equivalent two-ports (a, b, c), three equivalent power sources (main power S, distributed power DG, and inductive load L) constitute the first-layer positioning model, and three equivalent two-ports Inside is the second layer positioning model.
步骤三:故障区域定位。Step 3: Locate the fault area.
系统首先采集各个二端口区域节点状态编码信息,利用式(1)、(2)、(3)构建整个配电网关于区域的开关函数,利用式(14)构建故障区域定位的适应度函数,然后根据BPSOGA算法(金涛,李鸿南,刘对.基于BPSOGA的含风电机组的配电线路故障区段定位[J].电力自动化设备,2016,36(06):27-33.),将故障定位到故障区域。The system first collects the state code information of each two-port area node, uses equations (1), (2), (3) to construct the switching function of the entire distribution network about the area, and uses equation (14) to construct the fitness function of fault area location, Then according to the BPSOGA algorithm (Jin Tao, Li Hongnan, Liu Duan. BPSOGA-based distribution line fault location with wind turbines [J]. Electric Power Automation Equipment, 2016, 36(06): 27-33.), the fault location is to the fault area.
其中,fit(n)表示第n个个体的适应度值,等效二端口个数为D,整个配电网络的节点数为T。Ij为区域节点FTU采集的故障电流方向信息,Ij(s)是关于区域的开关函数,si为区域状态编码,η为权系数,常设为0.5。Among them, fit(n) represents the fitness value of the nth individual, the number of equivalent two ports is D, and the number of nodes in the entire power distribution network is T. I j is the fault current direction information collected by the area node FTU, I j (s) is the switching function about the area, s i is the area state code, and η is the weight coefficient, which is usually set to 0.5.
步骤四:故障区段定位。Step 4: Locate the fault zone.
在每个故障二端口内部,系统采集区段节点状态编码信息,利用双源网络开关函数公式(15)或单源开关函数公式(16)构建关于区段的开关函数,利用式(17)构建区段定位的适应度函数,然后根据穷举法,将故障定位到具体区段。Inside each fault two-port, the system collects the node state coding information of the segment, and uses the dual-source network switch function formula (15) or the single-source switch function formula (16) to construct the switch function about the segment, and uses the formula (17) to construct The fitness function of the segment location, and then according to the exhaustive method, the fault is located to the specific segment.
其中,fit(n)表示第n个个体的适应度值,每个故障区域包含的个体数为D1,整个配电网的节点个数为T。Ij为故障二端口内部所有区段节点FTU采集的故障电流方向信息,Ij(s)是关于区段的开关函数,si为区段状态编码。η为权系数,常设为0.5。Among them, fit(n) represents the fitness value of the nth individual, the number of individuals included in each fault area is D 1 , and the number of nodes in the entire distribution network is T. I j is the fault current direction information collected by the FTUs of all section nodes inside the fault two port, I j (s) is the switching function about the section, and si is the section state code. η is the weight coefficient, which is usually set to 0.5.
步骤五:定位反馈校验。Step 5: Positioning feedback verification.
为了提高整个故障定位的容错性和准确性,克服智能算法的定位“未成熟收敛”,在算法中引入反馈校验机制,其原理为:在区段定位后,根据校验判据判别区域定位结果与区段定位结果是否一致;若结果不一致,将区段定位的结果返回区域定位,以区段定位结果为初始赋值,计算适应度,若此适应度值大于第一次区域定位的群体最优适应度值,则直接跳入区段定位;若此适应度值小于第一次区域定位的群体最优适应度值,则进行故障区域定位和区段定位,若区段定位结果一致,则输出定位结果,若仍然不一致,进入下次校验循环,直到区域定位结果和区段定位结果一致。In order to improve the fault tolerance and accuracy of the entire fault location and overcome the “immature convergence” of the intelligent algorithm, a feedback verification mechanism is introduced into the algorithm. Whether the result is consistent with the segment location result; if the result is inconsistent, return the segment location result to the segment location, and use the segment location result as the initial assignment to calculate the fitness. If the fitness value is greater than the first segment location, the group is the most If the fitness value is smaller than the optimal fitness value of the group in the first regional positioning, then the fault area positioning and section positioning are performed. If the section positioning results are consistent, then Output the positioning result. If it is still inconsistent, enter the next verification cycle until the regional positioning result is consistent with the segment positioning result.
校验判据的确定方法如下:The method of determining the verification criterion is as follows:
a)若误判的区域是单源网络,如图6所示。此时区段节点(开关)状态编码为Ij=[000],根据式(16)计算开关函数,根据式(17)计算适应度,当区段状态编码为sj=[000]时,适应度取最大值:a) If the misjudged area is a single-source network, as shown in Figure 6. At this time, the segment node (switch) state code is I j = [000], the switch function is calculated according to equation (16), and the fitness is calculated according to equation (17). When the segment state code is s j =[000], the adaptive Take the maximum value:
fitmax=2T-(|0|+η·0)=2T (18)fit max =2T-(|0|+η·0)=2T (18)
于是得出区段状态编码为sj=[000],据此可以判定该故障区域不存在故障区段。Therefore, it is obtained that the segment state code is s j =[000], according to which it can be determined that there is no faulty segment in the faulty area.
b)当误判的区域是双源网络时,如图7所示:b) When the misjudged area is a dual-source network, as shown in Figure 7:
此时区段节点状态编码为Ij=[111]or[-1-1-1],根据式(15)计算开关函数,根据式(17)计算适应度,当区段状态编码为Ij=[100]or[001]即边界区段故障时,适应度取最大值:At this time, the segment node state code is I j =[111]or[-1-1-1], the switch function is calculated according to equation (15), and the fitness is calculated according to equation (17), when the segment state code is I j = [100] or [001] that is, when the boundary section fails, the fitness takes the maximum value:
fitmax1=2T-(|1+1|+η·1)=2T-2.5 (19)fit max1 = 2T-(|1+1|+η·1)=2T-2.5 (19)
若该区域实际存在故障即Ij≠[111]or[-1-1-1],则最大适应度的可能最小值为:If there is actually a fault in the area, that is, I j ≠[111]or[-1-1-1], the possible minimum value of the maximum fitness is:
fitmax2=2T-(|0|+η·2)=2T-1 (20)fit max2 =2T-(|0|+η·2)=2T-1 (20)
据此可以发现:对于双源网络虽然不能用区段状态编码对误判区域进行校验,但是可以通过最大适应度的偏差范围来进行校验,当最大适应度值超出[2T-1,2T+1]范围时,判定该故障区域不存在故障区段。According to this, it can be found that although the segment state code cannot be used to check the misjudged area for the dual-source network, it can be checked by the deviation range of the maximum fitness. When the maximum fitness value exceeds [2T-1,2T +1] range, it is determined that there is no fault zone in the fault area.
整个故障定位的流程图如图8所示。The flowchart of the entire fault location is shown in Figure 8.
实施例:Example:
按照图9搭建含有风电机组的配电线路模型。该模型共有30个馈线节点、30个区段,具体编号如图所示,S为系统主电源,DG1、DG2为风电机组,L1、L2为感性负荷。Build a distribution line model containing wind turbines according to Figure 9. The model has 30 feeder nodes and 30 sections. The specific numbers are shown in the figure. S is the main power supply of the system, DG1 and DG2 are wind turbines, and L1 and L2 are inductive loads.
首先,以多分支节点为边界将配电网等效成十个二端口的组合,每个二端口包含一区域和一个区域节点,构建出第一层定位模型,如图10所示。每个二端口都属于第二层定位模型,每个二端口包含的区段节点和区段如表1所示。First, the distribution network is equivalent to a combination of ten two-ports with the multi-branch nodes as the boundary, each two-port contains an area and an area node, and the first-layer positioning model is constructed, as shown in Figure 10. Each two-port belongs to the second-layer positioning model, and the segment nodes and segments included in each two-port are shown in Table 1.
表1二端口包含的节点和区段Table 1 Nodes and Sections Contained by Two Ports
设置区域三的区段5发生故障,所有分布式电源都投入运行时,FTU上传的所有节点的故障方向信息[11111-1-1-1-1-1-1-1-1-1-1-1-1000-1-1-1-1-1-1-1-1-1-1]。BPSOGA算法首先读取所有故障区域节点[1(1)2(2)3(3)4(6)5(10)6(13)7(18)8(21)9(23)10(28)]上传的故障方向信息:[111-1-1-10-1-1-1],然后进行故障区域定位,得出故障区域定位的适应度函数值最大为59.5,对应的区域状态为:[0010000000],故判定区域三故障。When the section 5 of the setting area 3 fails and all the distributed power sources are put into operation, the fault direction information of all nodes uploaded by the FTU [11111-1-1-1-1-1-1-1-1-1-1 -1-1000-1-1-1-1-1-1-1-1-1-1]. The BPSOGA algorithm first reads all nodes in the fault area [1(1)2(2)3(3)4(6)5(10)6(13)7(18)8(21)9(23)10(28) ] Uploaded fault direction information: [111-1-1-10-1-1-1], and then locate the fault area, the maximum fitness function value of the fault area location is 59.5, and the corresponding area status is: [ 0010000000], so it is judged that the area 3 is faulty.
穷举法根据BPSOGA算法的定位结果,读取故障区域三的所有节点(345)故障方向信息:(111),然后进行故障区段定位。当区段适应度函数值最大为59.5时,对应的区段状态为:[001],穷举法判定区段5发生故障。The exhaustive method reads the fault direction information of all nodes in fault area three (345) according to the positioning result of the BPSOGA algorithm: (111), and then locates the fault section. When the maximum value of the segment fitness function is 59.5, the corresponding segment state is: [001], and the exhaustive method determines that segment 5 is faulty.
校验机制检验区域定位结果与区段结果一致,输出定位结果。The verification mechanism checks that the regional positioning results are consistent with the section results, and outputs the positioning results.
设置区域三的区段3和区域五的区段10同时发生故障,此时节点2的FTU上传的故障方向信息从1畸变为0,BPSOGA算法发生误判,得出的最大适应度值是57.5,对应的区域状态为:[0 1 1 0 1 0 0 0 0 0],判定区域二、三、五发生故障。于是,三个故障区域同时进行区段定位,区段定位的结果如表2所示:It is set that section 3 of area 3 and section 10 of area 5 fail at the same time. At this time, the fault direction information uploaded by the FTU of node 2 is distorted from 1 to 0, and the BPSOGA algorithm misjudged, and the maximum fitness value obtained is 57.5 , the corresponding area status is: [0 1 1 0 1 0 0 0 0 0], it is determined that the two, three and five areas are faulty. Therefore, the three fault areas are located at the same time, and the results of the segment location are shown in Table 2:
表2区段定位结果Table 2 Segmentation results
从上表可以看出,区域二无故障区段,区域定位与区段定位结果不一致,于是将区段定位结果返回,再次进行区域定位。区域状态初始赋值为[0010100000],得出区域定位结果为区域三、五故障。进一步,得出区段定位结果为区段3、10故障,两次定位结果一致,将结果输出。As can be seen from the above table, there is no faulty section in area 2, and the area location is inconsistent with the segment location result, so the segment location result is returned and the area location is performed again. The initial value of the area state is [0010100000], and the result of the area location is the three and five faults in the area. Further, it is concluded that the segment location results are faults in segments 3 and 10, the two location results are consistent, and the results are output.
以上仿真结果,证实本发明提出的分层模型将运算维度从30降到了10,简化了定位模型,提高了定位效率。同时,证明校验机制能够有效避免智能算法的“未成熟收敛”问题,提高了整个定位算法的稳定性和容错性。The above simulation results confirm that the layered model proposed by the present invention reduces the operation dimension from 30 to 10, simplifies the positioning model, and improves the positioning efficiency. At the same time, it is proved that the verification mechanism can effectively avoid the "immature convergence" problem of the intelligent algorithm, and improve the stability and fault tolerance of the entire positioning algorithm.
此外,考虑故障重数、分布式电源接入数量、FTU上传数据畸变三种情况,进行了故障定位仿真,仿真结果如表3,4所示。In addition, the fault location simulation was carried out considering three conditions, namely, the number of faults, the number of distributed power sources, and the distortion of data uploaded by the FTU. The simulation results are shown in Tables 3 and 4.
表3单重故障仿真结果Table 3 Single fault simulation results
表4双重故障仿真结果Table 4. Double fault simulation results
从表3、4可知,本发明提出的模型和方法具有比较高的定位容错性和准确性。It can be seen from Tables 3 and 4 that the model and method proposed by the present invention have relatively high positioning error tolerance and accuracy.
为了验证本发明所提的方法在定位模型上的优势,将本发明所提的分层模型HBPSOGA与GA,BPSO、BPSOGA三种单层模型进行比较。四种模型的种群均设置为100,最大迭代次均为100,HBPSOGA的穷举法的迭代次数以实际为准。在区段3处设置单一故障,四种方法的迭代优化过程,如图11所示。其中,HBPSOGA1表示区域定位,HBPSOGA2表示区段定位。对四种方法在3种不同区段设置单一故障、双重故障,每种故障各运行30次,分别统计定位准确次数、平均耗时、平均收敛迭代次数,其结果如表5所示。In order to verify the advantages of the method proposed in the present invention in the positioning model, the layered model HBPSOGA proposed in the present invention is compared with three single-layer models of GA, BPSO and BPSOGA. The populations of the four models are all set to 100, and the maximum number of iterations is 100. The number of iterations of the exhaustive method of HBPSOGA is subject to the actual situation. Setting a single fault at section 3, the iterative optimization process of the four methods is shown in Figure 11. Among them, HBPSOGA1 represents regional localization and HBPSOGA2 represents segmental localization. For the four methods, single fault and double fault are set in 3 different sections. Each fault is run 30 times.
表5四种方法性能对比表Table 5 Performance comparison table of four methods
从以上仿真结果可以发现:由于分层模型的区域定位的维度只有10,定位耗时为0.94s;区段定位中,运算维度仅为3,利用穷举法的迭代次数为:耗时为0.01s;整个定位过程耗时不超过1s,总迭代次数为13,本发明的分层模型在定位平均耗时和平均收敛次数明显少于其他三种单层模型的方法,证实所提方法在简化定位模型和定位速度上优势明显;From the above simulation results, it can be found that since the dimension of the region positioning of the hierarchical model is only 10, the positioning time is 0.94s; in the section positioning, the operation dimension is only 3, and the number of iterations using the exhaustive method is: The time-consuming is 0.01s; the whole positioning process takes no more than 1s, and the total number of iterations is 13. The average time-consuming and average convergence times of the hierarchical model of the present invention are significantly less than those of the other three single-layer models. The proposed method has obvious advantages in simplifying the positioning model and positioning speed;
为了验证本发明所提方法在定位算法上的优势,将反馈校验机制的算法HBPSOGA+CM(CheckMechanism)与区段校验机制的算法HBPSOGA、无校验机制的算法BPSOGA进行比较。其中,BPSOGA只对分层模型的故障区域进行定位,HBPSOGA仅利用区段定位进行校验,HBPSOGA+CM在HBPSOGA的基础上增加反馈环节。三种方法统一将种群和迭代次数均减小为30,在不同区段设置单一故障、双重故障,每种故障各运行30次,分别统计区域定位准确次数、平均耗时、平均收敛次数结果如表6所示。In order to verify the advantages of the proposed method in the positioning algorithm, the algorithm HBPSOGA+CM (Check Mechanism) of the feedback check mechanism is compared with the algorithm HBPSOGA of the section check mechanism and the algorithm BPSOGA without the check mechanism. Among them, BPSOGA only locates the fault area of the hierarchical model, HBPSOGA only uses segment location for verification, and HBPSOGA+CM adds feedback links on the basis of HBPSOGA. The three methods uniformly reduce the population and the number of iterations to 30, set single faults and double faults in different sections, and run each fault 30 times. shown in Table 6.
表6 BPSOGA区域定位结果统计表Table 6 Statistics of BPSOGA regional positioning results
此外,还给出了带反馈校验机制的粒子群算法和遗传算法HBPSO+CM、GA+CM与区段校验机制的分层粒子群算法和遗传算法HBPSO、HGA和无校验机制的粒子群算法和遗传算法BPSO、GA对比结果,表7、8所示。In addition, the particle swarm algorithm with feedback verification mechanism and genetic algorithm HBPSO+CM, GA+CM and hierarchical particle swarm optimization with segment verification mechanism and genetic algorithm HBPSO, HGA and particles without verification mechanism are also given. The comparison results of swarm algorithm and genetic algorithm BPSO and GA are shown in Tables 7 and 8.
表7 BPSO区域定位结果统计表Table 7 Statistics of BPSO regional positioning results
表8 GA区域定位结果统计表Table 8 Statistics of GA regional positioning results
从表6、7、8可以看出,在定位准确次数方面,单纯依靠区段定位校验可以纠正区域定位的大部分定位,因为智能算法的“未成熟收敛”的结果多数情况下涵盖有“成熟收敛”的结果,区段定位能过滤区域定位中的误判区域,仅让定位正确的区域输出。带有反馈环节的校验机制不仅具有“过滤”性纠正作用,而且还具有“补充”性纠正作用,能纠正不涵盖和部分涵盖“成熟收敛”结果的“未成熟收敛”结果,此校验机制虽然在一定层度上增加了迭代次数和耗时,但其对故障定位速动性的影响可以忽略不计。From Tables 6, 7, and 8, it can be seen that in terms of the number of accurate positioning, most of the regional positioning can be corrected by simply relying on the section positioning verification, because the results of the "immature convergence" of the intelligent algorithm in most cases include " As a result of "mature convergence", segment positioning can filter out the misjudged regions in the region positioning, and only allow the correctly positioned regions to be output. The verification mechanism with feedback link not only has a "filtering" corrective effect, but also has a "supplementary" corrective effect, which can correct the "immature convergence" results that do not cover and partially cover the "mature convergence" results. Although the mechanism increases the number of iterations and time-consuming to a certain extent, its impact on the quickness of fault location is negligible.
以上是本发明的较佳实施例,凡依本发明技术方案所作的改变,所产生的功能作用未超出本发明技术方案的范围时,均属于本发明的保护范围。The above are the preferred embodiments of the present invention, all changes made according to the technical solutions of the present invention, when the resulting functional effects do not exceed the scope of the technical solutions of the present invention, belong to the protection scope of the present invention.
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