CN108615112A - A kind of power network topology dynamic analysing method based on DSTU and incidence matrix - Google Patents

A kind of power network topology dynamic analysing method based on DSTU and incidence matrix Download PDF

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CN108615112A
CN108615112A CN201810389534.6A CN201810389534A CN108615112A CN 108615112 A CN108615112 A CN 108615112A CN 201810389534 A CN201810389534 A CN 201810389534A CN 108615112 A CN108615112 A CN 108615112A
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incidence matrix
dstu
network topology
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power
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邓辉
丁洁
葛连明
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Nanjing Post and Telecommunication University
Nanjing University of Posts and Telecommunications
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    • Y04SSYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
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Abstract

The invention discloses a kind of power network topology dynamic analysing method based on DSTU and incidence matrix, includes the following steps:Arbitrary number is carried out to grid nodes, a DSTU is installed in each switch, and topological structure of electric information is collected by DSTU;According to the first incidence matrix A of the power network topology information architecture grid nodes collected;Transformation rule is set according to the form of power grid, the first incidence matrix A is converted by the second incidence matrix A ' based on transformation rule;The characteristics of according to incidence matrix, extracts corresponding standard triangular matrix from the second incidence matrix A ', obtains the network topology structure figure of power grid;If network structure changes, DSTU can extract topology information, by disconnecting or connecting the side between grid nodes, realize power network topology dynamic analysis;Power network topology dynamic analysing method provided by the invention can quickly analyze the real-time topology structure of power grid, identify that the node of power grid middle port, computational methods are simple, efficient.

Description

A kind of power network topology dynamic analysing method based on DSTU and incidence matrix
Technical field
The present invention relates to Power System Topology Analysis technical fields, more particularly to one kind being based on DSTU (Distributed Intelligent terminal unit, distributed intelligent terminal unit) and incidence matrix power network topology dynamic analysis side Method.
Background technology
Network topology refers to that the physical layout of various equipment is interconnected with transmission media, especially computer distribution position with And how cable passes through them.Topology is the physical attributes such as a kind of size not considering object, shape, and only point of use or Line drawing states the abstract representation method of multiple objects physical location and relationship.Topology is indifferent to the details of things, does not also mind mutually Proportionate relationship, and only indicate the correlation in a certain range between multiple objects in graph form.Electric power networks topology Analysis is the folding condition of the connection relation and switchgear according to electric network element, and the physical model described with node is converted into The mathematical model of busbar description, it is the basis that the various analyses of electric system calculate.Power network topology analysis belongs to the scope of graph theory. Actual electric network is abstracted into non-directed graph to indicate in topological analysis.Power network topology analysis is made of two steps, and the first step is plant stand Topology Analysis Based, also referred to as busbar analyze;Second step is that the busbar of whole system is connected into several subsystems by branch, referred to as Network analysis.
The method of power network topology analysis is divided into two class of the method based on graph theory and the method based on algebraically.Side based on graph theory Method is based on search method.Search method is that the topological analysis of network is carried out by the connection relation of search node and adjacent node, According to the difference of search principle, search method is divided into as depth-first search and breadth first search method;In addition, based on graph theory Correlation theory, some other methods are also constantly suggested, such as Wu Wenchuan propositions the topological model based on object-oriented, propose And a kind of topology analyzing method for being merged based on node and generating All Trees is realized, it opens the node that proposes such as firelight or sunlight and is connected to island act of union Deng.Method, that is, matrix method based on algebraically.Matrix method is to utilize incidence matrix or adjacency matrix, is transported by a series of matrix Calculate and matrix analysis obtain topologies, according to based on matrix difference, matrix method be divided into for Adjacent Matrix Method be associated with square Two kinds of the tactical deployment of troops.Compared with the method based on graph theory, matrix method data organization is simple, analytic process is clear, adapts to connect in any The electric power networks topology of line mode.But there is a problem of following:(1) classical matrix method need to carry out complicated matrix operation, meter Calculation amount is big, and calculating speed is slow, it is difficult to meet the requirement applied in real time.(2) when electric network composition changes, autgmentability seems inadequate Flexibly, many contents in revision program are needed, operation and maintenance are more complex, are unfavorable for engineer application.
In recent years, many scholars improve matrix method, and Yao Yubin etc. proposes the quasi- quadratic method network of connection matrix Topology analyzing method;Yao Yubin and Hua it is strong equal respectively by sparse matrix treatment technology, that Gaussian elimination technology is applied to matrix method is electric In net topology analysis.These improvement make calculating speed increase to a certain extent, but due to still needing to carry out complicated matrix Operation, not change substantially.
Invention content
It is a primary object of the present invention to solve shortcoming and defect existing in the prior art, provide it is a kind of calculate it is simple, The efficiently power network topology dynamic analysing method based on DSTU and incidence matrix can quickly analyze the real-time of power grid by the method Topology, the node that identification grid disruption is opened, specific technical solution are as follows:
A kind of power network topology dynamic analysing method based on DSTU and incidence matrix, includes the following steps:
Arbitrary number is carried out to grid nodes, a DSTU is installed in each switch, and electricity is collected by DSTU Net topology structural information;
According to the first incidence matrix A of the power network topology information architecture grid nodes collected;
Transformation rule is set according to the form of power grid, the first incidence matrix A is converted by the second association based on transformation rule Matrix A ';
The characteristics of according to incidence matrix, extracts corresponding standard triangular matrix from the second incidence matrix A ', obtains electricity The network topology structure figure of net;
If network structure changes, DSTU can extract topology information, by disconnecting or connecting power grid section Power network topology dynamic analysis are realized on side between point.
Further improvement of the present invention is that the DSTU is used to collect and store the electric parameter and switch shape of power grid State, and communicated by broadcast between each described DSTU.
Further improvement of the present invention is, can carry out associated query between the grid nodes mutually.
Further improvement of the present invention is that network morphology of the transformation rule based on power grid is converted, the net Network form includes chain-shaped network and tree network;Wherein, the chain-shaped network passes through formula As=[m, m-1,2,1]TInto Conversion between row the first incidence matrix A and the second incidence matrix A ', the tree network by formula As=[m, 1, 1,1]TCarry out the conversion between the first incidence matrix A and the second incidence matrix A ';In formula, As meets table for transformation rule Show, m is power grid interior joint number.
Further improvement of the present invention is, the power network topology dynamic analysing method is suitable for loop or parallel branch Network topology structure, operand and the number of nodes m of the power network topology dynamic analysing method2It is directly proportional.
Further improvement of the present invention is, in the process from the middle extraction standard triangular matrixes of the second incidence matrix A ' In, when extracting the standard triangular matrix of preset quantity, you can obtain network topology structure.
The power network topology dynamic analysing method based on DSTU and incidence matrix of the present invention, first appoints grid nodes The number of meaning, and power grid each open the light in install DSTU, the related information of grid nodes, then root are acquired by DSTU It, then will further according to the transformation rule of setting according to the first incidence matrix between related information structure node between obtained node First incidence matrix is converted into the second incidence matrix, and several standard triangular matrixes can be extracted from the second incidence matrix, It is final that the network topology structure of grid nodes is obtained according to obtained standard triangular matrix, it thus can be by obtained topology The actual conditions to network of structure dynamics are dynamically analyzed, to find the problem;Compared with prior art, of the invention The real-time topology structure that power grid can quickly be analyzed identifies that the node of power grid middle port, computational methods are simple, efficient.
Description of the drawings
Fig. 1 is the flow diagram of the power network topology dynamic analysing method of the present invention based on DSTU and incidence matrix;
Fig. 2 is that a grid nodes network connection containing nine nodes illustrates meaning;
Fig. 3 is the topological structure that the power network topology dynamic analysing method through the invention based on DSTU and incidence matrix obtains Diagram meaning.
Indicate explanation:D indicates DSTU in Fig. 2.
Specific implementation mode
In order to enable those skilled in the art to better understand the solution of the present invention, below in conjunction in the embodiment of the present invention Attached drawing, technical scheme in the embodiment of the invention is clearly and completely described.Obviously, described embodiment is only A part of the embodiment of the present invention gives presently preferred embodiments of the present invention instead of all the embodiments in attached drawing.The present invention can To realize in many different forms, however it is not limited to embodiment described herein, on the contrary, provide the mesh of these embodiments Be to make the disclosure of the present invention more thorough and comprehensive.Based on the embodiments of the present invention, the common skill in this field The every other embodiment that art personnel are obtained without creative efforts belongs to the model that the present invention protects It encloses.
Refering to fig. 1, in embodiments of the present invention, it is proposed using DSTU as core component a kind of based on DSTU and incidence matrix Power network topology dynamic analysing method, include the following steps:
S1:Arbitrary number is carried out to grid nodes, a DSTU is installed in each switch, and collect by DSTU Topological structure of electric information;
In conjunction with Fig. 2, in embodiment, the number of random order is carried out to the node in power grid first, and in power grid Each of switch in be respectively mounted a DSTU, by DSTU come mobile phone and stored electricity parameter and on off state, and each Form between DSTU also by broadcast is communicated, and by way of broadcast communication, DSTU can obtain the simulation in power grid Sample information, fault message, switch type and its state, topology information and load information obtain these information, are conducive to Subsequently power grid monitor and analyze in real time.
S2:According to the first incidence matrix A of the power network topology information architecture grid nodes collected;
In the present embodiment, in order to more preferably analyze the concrete condition of power grid, all nodes for including in power grid are collected into shape Gather at one, it is assumed that collection is combined into N, then N=(n1, n2, n3, nm) wherein m is finite value, and in order to more convenient and Pictute, by a node n in selected set NsAs starting point, in this way, if desired to a node n in set Ns It is inquired, it is assumed that every time from node nsTo node to nkInquiry needs the node passed through to may make up a set L, then defines in L Node and nkIt is associated;Furthermore assume to contain p node in set L, then p≤m, and p≤m is referred to as nsThus auto-correlation may be used To know all nodes in set N and nkIt is associated, and there was only auto-correlation with endpoint node.
And for the concrete condition of vivider description power grid, the present invention establishes a first incidence matrix A with set N, First incidence matrix A is m × m rank matrix, and element is by aijIt indicates, and aijOnly " 0 " and " 1 " two kinds of expressions, specifically such as Shown in lower:
In the first incidence matrix A, the natural number on right side indicates the node number of putting in order, it is assumed that between node i and node j It is associated, then aij=1, otherwise, aij=0;In addition, in a practical situation, the network structure of power grid includes chain-shaped network and tree-shaped Network, and its incidence matrix is with following special structure and characteristic:(1) incidence matrix of chain-shaped network is exactly one upper three Angular moment battle array;(2) incidence matrix of tree-shaped (branch-like) the network equally feature with upper triangular matrix, but only the first row and right Angle element is " 1 ", remaining element is " 0 ";(3) starting point nsThe incidence matrix A of difference, set N is just different.
S3:Transformation rule is set according to the form of power grid, the first incidence matrix A is converted by the second pass based on transformation rule Connection matrix A ';
Actual network is unlikely to be standard shape, it is clear that incidence matrix is also different, it is impossible to be the three of standard Horn shape matrix.Since the selection of starting point is different, obtained incidence matrix is also different, but the topology of complexity again It is made of the standard topology element combinations of chain structure, incidence matrix can also reflect its topological relation, i.e., be to being associated with square Battle array is standardized so that it can become triangular shape matrix;And why incidence matrix is no longer triangular shape matrix, be not because No longer has triangular shape feature for incidence matrix itself, but because the chronological order of each node is unlikely to be by chain structure Network node sequential organization, this is just illustrating that node sequence needs are rearranged, is making the sequence of each node in order in other words, be associated with square Battle array has reformed into triangular shape matrix naturally;In embodiments of the present invention, different changes is had according to the difference of electricity grid network structure Change rule, wherein chain-shaped network passes through operation rule As=[m, m-1,2,1]TObtain the of the first incidence matrix A Two incidence matrix A ', tree network then pass budgets regular As=[m, 1,1,1]TObtain the of the first incidence matrix A Two incidence matrix A ';In addition, if network is the network of downtree shape, As=[2,2,2,1]T, it is assumed that a tree network The incidence matrix of network is m × m rank matrix As of non-triangle shape, and complete " 1 " for defining one and network node number same dimension arranges Vectorial s, and it is a simple calculations As=[r1, r2, r3, rm]T;Wherein r1, r21, r3, rmIt is unsatisfactory for r1 > r2≥r3≥···≥rm, r is rearranged by descending sequence1, r21, r3, rmAfter obtain r1', r2', r3', rm' so that meet r1' > r2′≥r3′≥···≥rm', A is converted according to same sequence, is obtained To incidence matrix A ', then A ' s=[r can be obtained1', r2', r3', rm′]T, topological relation that A ' at this time is reflected It is at all unchanged, but might not be with standard shape with triangular shape characteristic;It is therefore necessary to try to find out the pass of standard shape Join matrix;It can specifically be illustrated by following Examples:
Complete " 1 " column vector s=[1,1,1,1,1,1,1,1,1] is defined firstT, and be a simple calculations As and obtain As =[9,5,4,4,2,1,3,1,1]T, then As obtained into A by same operation transform1S=[9,7,5,4,4,2,3,1,1,1 ]T, in this manner it is possible to be converted according to the first incidence matrix of same sequence pair A, obtain its incidence matrix A1
By A1S converts to obtain A ' s=[9,5,4,4,3,2,1,1,1] againT;Similarly, according to same sequence to A1Become It changes, obtains the second association incidence matrix A ':
S4:The characteristics of according to incidence matrix, extracts corresponding standard triangular matrix from the second incidence matrix A ', obtains The network topology structure figure of power grid;
In the present invention, default when extracting during extraction standard triangular matrix middle from the second incidence matrix A ' When the standard triangular matrix of quantity, you can obtain network topology structure;Refering to Fig. 3, finally extracted from the second incidence matrix A ' Standard triangular matrix, to obtain network topology structure, it can be seen from the figure that node 1 is start node, and 6,8,9 sections Point is endpoint node, and it is to combine shape by a number of standard triangular matrix that finally obtained network topology structure, which can look at, At, you can the network that corresponding power grid to the end is obtained in a manner of by from the second incidence matrix A ' extraction standard triangular matrixes is opened up Flutter structure.
S5:If network structure changes, DSTU can extract topology information, by disconnecting or connecting power grid Power network topology dynamic analysis are realized on side between node.
In the present invention, when obtaining the network topology structure of power grid to the end, so that it may to pass through port or connection topology Realize that dynamic analysis, power network topology dynamic analysing method of the invention are suitable for loop or parallel branch in side between structure node Network topology structure, while the operand of method and number of nodes m2Directly proportional, i.e. the present invention can be completed rapidly and accurately pair The analysis of power grid entirety, in order to which staff can in time understand the case where power grid in real time, to avoid some events Hinder a series of problems brought, ensures the unimpeded operation of power grid.
The power network topology dynamic analysing method based on DSTU and incidence matrix of the present invention, first appoints grid nodes The number of meaning, and power grid each open the light in install DSTU, the related information of grid nodes, then root are acquired by DSTU It, then will further according to the transformation rule of setting according to the first incidence matrix between related information structure node between obtained node First incidence matrix is converted into the second incidence matrix, and several standard triangular matrixes can be extracted from the second incidence matrix, It is final that the network topology structure of grid nodes is obtained according to obtained standard triangular matrix, it thus can be by obtained topology The actual conditions to network of structure dynamics are dynamically analyzed, to find the problem;Compared with prior art, of the invention The real-time topology structure that power grid can quickly be analyzed identifies that the node of power grid middle port, computational methods are simple, efficient.
The foregoing is merely a prefered embodiment of the invention, the scope of the claims of the present invention is not intended to limit, although with reference to aforementioned reality Applying example, invention is explained in detail, still can be to aforementioned each tool for those skilled in the art comes Technical solution recorded in body embodiment is modified, or carries out equivalence replacement to which part technical characteristic.Every profit The equivalent structure made of description of the invention and accompanying drawing content is directly or indirectly used in other related technical areas, Similarly within scope of patent protection of the present invention.

Claims (6)

1. a kind of power network topology dynamic analysing method based on DSTU and incidence matrix, which is characterized in that include the following steps:
Arbitrary number is carried out to grid nodes, a DSTU is installed in each switch, and power grid is collected by DSTU and is opened up Flutter structural information;
According to the first incidence matrix A of the power network topology information architecture grid nodes collected;
Transformation rule is set according to the form of power grid, the first incidence matrix A is converted by the second incidence matrix based on transformation rule A′;
The characteristics of according to incidence matrix, extracts corresponding standard triangular matrix from the second incidence matrix A ', obtains power grid Network topology structure figure;
If network structure changes, DSTU can extract topology information, by disconnect or connect grid nodes it Between side, realize power network topology dynamic analysis.
2. a kind of power network topology dynamic analysing method based on DSTU and incidence matrix according to claim 1, feature It is, the DSTU is used to collect and store the electric parameter and on off state of power grid, and passes through between each described DSTU Broadcast is communicated.
3. a kind of power network topology dynamic analysing method based on DSTU and incidence matrix according to claim 2, feature It is, associated query can be carried out between the grid nodes mutually.
4. a kind of power network topology dynamic analysing method based on DSTU and incidence matrix according to claim 1, feature It is, network morphology of the transformation rule based on power grid is converted, and the network morphology includes chain-shaped network and tree network Network;Wherein, the chain-shaped network passes through formula As=[m, m-1,2,1]TCarry out the associations of the first incidence matrix A and second Matrix A ' between conversion, the tree network by formula As=[m, 1,1,1]TCarry out the first incidence matrix A and Conversion between two incidence matrix A ';In formula, As is the expression that meets of transformation rule, and m is power grid interior joint number.
5. a kind of power network topology dynamic analysing method based on DSTU and incidence matrix according to claim 4, feature It is, the power network topology dynamic analysing method is suitable for the network topology structure of loop or parallel branch, the power network topology The operand of dynamic analysing method and number of nodes m2It is directly proportional.
6. a kind of power network topology dynamic analysing method based on DSTU and incidence matrix according to claim 1, feature It is, during from the second incidence matrix A ' middle extraction standard triangular matrixes, when extracting described in preset quantity When standard triangular matrix, you can obtain network topology structure.
CN201810389534.6A 2018-04-26 2018-04-26 A kind of power network topology dynamic analysing method based on DSTU and incidence matrix Pending CN108615112A (en)

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Application publication date: 20181002