CN105610153B - A kind of quick, intelligent partitioning algorithm based on cluster analysis - Google Patents

A kind of quick, intelligent partitioning algorithm based on cluster analysis Download PDF

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Publication number
CN105610153B
CN105610153B CN201610029950.6A CN201610029950A CN105610153B CN 105610153 B CN105610153 B CN 105610153B CN 201610029950 A CN201610029950 A CN 201610029950A CN 105610153 B CN105610153 B CN 105610153B
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Prior art keywords
cluster
circuit
values
cut
cut values
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CN201610029950.6A
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CN105610153A (en
Inventor
高岩
王志刚
徐松晓
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State Grid Corp of China SGCC
State Grid Hebei Electric Power Co Ltd
Baoding Power Supply Co of State Grid Hebei Electric Power Co Ltd
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State Grid Corp of China SGCC
State Grid Hebei Electric Power Co Ltd
Baoding Power Supply Co of State Grid Hebei Electric Power Co Ltd
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/30Circuit design
    • G06F30/36Circuit design at the analogue level
    • G06F30/367Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q50/00Systems or methods specially adapted for specific business sectors, e.g. utilities or tourism
    • G06Q50/06Electricity, gas or water supply
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation

Abstract

The invention discloses a kind of quick, intelligent partitioning algorithm based on cluster analysis, and it is that single region plant stand number is more than m or the number of partitions is less than n to set partition termination condition first;Then using each plant stand as a cluster, the cut values between cluster and cluster are assigned according to the connection topological relation between cluster;The average value of the cut values between the cluster is obtained again, and then cluster that cut values are more than to average value merges, and forms new cluster, updates the cut values between cluster;Repeat upper step, until meeting end condition, then subregion is completed.The algorithm quickly can carry out Intelligent partition to power network, so as to provide guarantee to reduce amount of calculation.

Description

A kind of quick, intelligent partitioning algorithm based on cluster analysis
Technical field
The present invention relates to power system automatic field, more particularly to a kind of quick, intelligent subregion based on cluster analysis to calculate Method.
Background technology
With the development of power network, capital construction, transformation project are largely gone into operation, and temporal fashion becomes increasingly complex, and operation of power networks faces Challenge constantly strengthen.The first line of defence of the relay protection as power network, vital work is played to electric power netting safe running With.To ensure the safe and stable operation of power system, many places have been built on ground leveling platform is based on intelligent scheduling technology branch Hold system platform and build relay protection constant value on-line check and early warning application platform.
But found during actually checking, with the increase of electric network model, calculating speed exponentially declines.Because When calculating, first have to generate bus admittance matrix, Node impedance matrix is obtained after then being inverted to admittance matrix, because to matrix Invert be related to it is substantial amounts of calculate operation, with the increase of nodes, its used time exponentially of inverting rises, so passing through loading unit Sub-model can greatly reduce to reduce the operation of nodes and calculate the used time, raising calculating speed.In order to adapt to this case, Need to carry out quick subregion to power network.
The content of the invention
It is an object of the invention to provide a kind of intelligent algorithm based on cluster analysis, the algorithm can be carried out quickly to power network Intelligent partition, so as to provide guarantee to reduce amount of calculation.
To achieve the above object, the present invention takes following technical scheme:
A kind of quick, intelligent partitioning algorithm based on cluster analysis, comprises the following steps:
(a) it is that single region plant stand number is more than m or the number of partitions is less than n to set partition termination condition;
(b) using each plant stand as a cluster, assigned according to the connection topological relation between cluster between cluster and cluster Cut values, the cut values are the circuit number and each circuit weights sum between two clusters, and the circuit weights of the circuit of no mutual inductance are set 0 is set to, the circuit weights for having mutual inductance circuit are arranged to 100~200;
(c) average value of the cut values between the cluster is obtained, then cluster that cut values are more than to average value merges, and is formed new Cluster, update the cut values between cluster;
(d) repeat step (c), the end condition until meeting step (a), then subregion completion.
Preferably, m values are that 500, n values are 5 in step (a), and the circuit weights for having mutual inductance circuit in step (b) are arranged to 100。
The present invention uses the thought of cluster analysis, and power is assigned according to the degree that is completely embedded and with the presence or absence of inductance to plant stand Value, and mean value calculation is carried out on this basis, the plant stand that then will be greater than average value is divided into a region, new as one Cluster, and constantly repeat this operation, it is known that complete subregion when meeting end condition.This method is simple and quick, intelligent strong, gained Subregion is scientific and reasonable, reduces amount of calculation for the later stage and lays a good foundation.
Brief description of the drawings
Fig. 1 is cluster algorithm flow chart.
Fig. 2 is example plant stand annexation figure.
Fig. 3 annexation figures between cluster after renewal once.
Fig. 4 annexation figures between the cluster after the completion of subregion.
Embodiment
Using the partitioning algorithm of the present invention, the connection and mutual inductance situation to studied power network are it should be clear that these are Initial data, scientific and reasonable quick subregion can be carried out with this algorithm on the basis of these initial data.
The present invention comprises the following steps:
(a) it is that single region plant stand number is more than m or the number of partitions is less than n to set partition termination condition;
(b) using each plant stand as a cluster, assigned according to the connection topological relation between cluster between cluster and cluster Cut values, the cut values are the circuit number and each circuit weights sum between two clusters, and the circuit weights of the circuit of no mutual inductance are set 0 is set to, the circuit weights for having mutual inductance circuit are arranged to 100~200;
(c) average value of the cut values between the cluster is obtained, then cluster that cut values are more than to average value merges, and is formed new Cluster, update the cut values between cluster;
(d) repeat step (c), the end condition until meeting step (a), then subregion completion.
M, n and mutual inductance circuit weights can be set according to power network scale and zoning objectives.
Illustrate the application of this method below by specific embodiment, this method flow chart is as shown in figure 1, electric involved by this example Net as shown in Fig. 2 the topological connection relation of the power network as shown in Table 1 and Table 2.
Table 1
Table 1 is the data model of plant stand, represents the topological connection relation between each plant stand, and each plant stand corresponds to as a cluster Unique node number.First, all clusters are numbered, this example is 10 plant stands, that is, there are 10 node numbers, and topological relation is closed by connection Series determines.Annexation corresponding to the cluster that the interior joint number of table 1 is 1 is 2@1 and 3@1, then it represents that node number is 1 cluster and node Number for 2 cluster between have a connection, a circuit between the cluster that the cluster and node number that node number is 1 are 3 be present.Equally Also represent that representation is the@mutual inductances branch road 2 of mutual inductance branch road 1, such as table 2 by the node number of cluster for the circuit of mutual inductance relationships be present It is shown.
Table 2
The node number of mutual inductance branch route first and last cluster represents, as mutual inductance be present between circuit L12 and circuit L15, then it represents that be (8,9)@(8,10).Then cut values are calculated according to Tables 1 and 2, represented with a matrix type, ranks are the node number of cluster.
cutijCut values between cluster i and cluster j, cut values are the circuit number and each circuit weights sum between two clusters, The circuit weights of circuit without mutual inductance are arranged to 0, and the circuit weights for having mutual inductance circuit are arranged to 100.Because plant stand itself with from Connection between body, arranged so 10 plant stands are 9 rows 9.
The average value for obtaining cut between all clusters is 32.3 (numbers of cut values sum divided by cut values), then cut values Cluster more than cut average values merges, that is, it is a new cluster to merge cluster 8, cluster 9, cluster 10, and cluster 2, cluster 3, cluster 4 are a new cluster;
Cluster after merging is as shown in figure 3, judge whether to meet partition termination condition.Because the electric network model of citing is smaller, Using each plant stand as a cluster, if each initial cluster of Fig. 2 is that have accumulated the set of the cluster after n times, then now End condition may be met, be divided into 6 regions.If being still unsatisfactory for, the cut values between new cluster are recalculated;
Merge cluster 1, cluster 2, cluster 6, while merge cluster 3 and cluster 5, generate the model of new cluster as shown in figure 4, now number of regions For 3, subregion is completed.
Above-described embodiment is to present inventive concept and the explanation realized, is not limited, in the present invention Under design, without the technical scheme that substantially converts still in protection domain.

Claims (2)

1. a kind of quick, intelligent partitioning algorithm based on cluster analysis, comprises the following steps:
(a) it is that single region plant stand number is more than m or the number of partitions is less than n to set partition termination condition;
(b) using each plant stand as a cluster, the cut between cluster and cluster is assigned according to the connection topological relation between cluster Value, the cut values are the circuit number and each circuit weights sum between two clusters, and the circuit weights of the circuit of no mutual inductance are arranged to 0, the circuit weights for having mutual inductance circuit are arranged to 100~200;
(c) average value of the cut values between the cluster is obtained, then cluster that cut values are more than to average value circuit both ends merges, shape Into new cluster, the cut values between cluster are updated;
(d) repeat step (c), the end condition until meeting step (a), then subregion completion.
2. the quick, intelligent partitioning algorithm based on cluster analysis as claimed in claim 1, it is characterised in that m values in step (a) It is 5 for 500, n values, the circuit weights for having mutual inductance circuit in step (b) are arranged to 100.
CN201610029950.6A 2016-01-18 2016-01-18 A kind of quick, intelligent partitioning algorithm based on cluster analysis Active CN105610153B (en)

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Citations (4)

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Publication number Priority date Publication date Assignee Title
WO2006119482A2 (en) * 2005-05-04 2006-11-09 West Virginia University Research Corporation Method for data clustering and classification by a graph theory model -- network partition into high density subgraphs
CN103577896A (en) * 2013-11-12 2014-02-12 国网安徽省电力公司 Regional division method for large-scale power grid setting calculation
CN104821580A (en) * 2015-05-08 2015-08-05 杭州沃瑞电力科技有限公司 Three-phase reactive power control partitioning method based on reactive power source clustering analysis
CN105184669A (en) * 2015-08-25 2015-12-23 四川大学 220kV urban ring network partitioning method based on node set GN splitting-up algorithm

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2006119482A2 (en) * 2005-05-04 2006-11-09 West Virginia University Research Corporation Method for data clustering and classification by a graph theory model -- network partition into high density subgraphs
CN103577896A (en) * 2013-11-12 2014-02-12 国网安徽省电力公司 Regional division method for large-scale power grid setting calculation
CN104821580A (en) * 2015-05-08 2015-08-05 杭州沃瑞电力科技有限公司 Three-phase reactive power control partitioning method based on reactive power source clustering analysis
CN105184669A (en) * 2015-08-25 2015-12-23 四川大学 220kV urban ring network partitioning method based on node set GN splitting-up algorithm

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K-AP: Generating Specified K Clusters by Efficient Affinity Propagation;Xiangliang Zhang,et al;《2010 IEEE International Conference on Data Mining》;20101231;全文 *
基于聚类的阶段理论线损快速计算与分析;李学平;《电工技术学报》;20150630;第30卷(第12期);全文 *
基于聚类经验模态分解和最小二乘支持向量机的短期风速组合预测;王贺 等;《电工技术学报》;20140430;第29卷(第4期);全文 *

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