CN108683180A - A kind of three-phase low-voltage power distribution network topology rebuilding method - Google Patents
A kind of three-phase low-voltage power distribution network topology rebuilding method Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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Abstract
A kind of method of three-phase low-voltage power distribution network topology rebuilding.The present invention is based on low-voltage network time-sequential voltage data, time-sequential voltage is obtained from the intelligent electric meter of user side, first each busbar voltage data are asked with the related coefficient reference voltage using the method for association analysis, and it is identified as the maximum phase of related coefficient, phase identification process is completed, the phase link information of each busbar is obtained.All busbares are divided into three groups of A phase, B phase, C phase according to the difference of affiliated phase, using Chow Liu algorithms, obtain the cross-correlation information between above-mentioned three groups of busbares respectivelyMatrix, and then using the topology rebuilding of cross-correlation information three groups of Undirected networks of completion, finally the Undirected networks that three groups have been rebuild are integrated, obtain complete topology network architecture.
Description
Technical field
The invention belongs to electric power system power distribution technical fields, and in particular to a kind of to be carried out using power distribution network time-sequential voltage data
The technology of three-phase low-voltage power distribution network terminal user's topology rebuilding.
Background technology
With the development of technology, the existing accurate monitoring to high and medium voltage electric network information of Intelligent monitoring device, but due to
The smart machine deployment of low-pressure side is imperfect, and there are frequent circuits to change for low-voltage customer side, underground distribution is not easy to check, people
The problems such as to change circuit privately, the phase information of three-phase low-voltage power distribution network user side are often incomplete or wrong.
But the network topological information of three-phase low-voltage power distribution network is essential, and the standard of user class for the safe and stable operation of network
True phase information is also of great significance to the runnability of lift three-phase low-voltage network, such as can by adjusting three-phase equilibrium
Reduce system loss etc..
In the topology research of electric system at present, most of is to study the topology error identification of high pressure or medium voltage network and open up
Structure change is flutterred, mainly carries out network reconnection using chopper switch remote signals matrix, but there are pseudo-measurement equipment for the method
Error cause result accuracy rate not high, and since low-voltage network not yet installs monitoring device completely, height can not be utilized
The method of medium-voltage distribution net topology research.Recognition methods for grid phase, the existing power line transmission phase based on μ PMU
The shortcomings of data realize the monitoring of power distribution network phase, but power line transmission signals are high there are the bit error rate, in addition, this method also needs
Want user side that a large amount of μ PMU devices are installed, but at present low-voltage network not yet dispose install it is perfect.And existing technology fails
By the identification synchronization process of the identification and topology of power distribution network phase.A large amount of with low-voltage network user side intelligent electric meter connect
Enter so that the voltage and electricity consumption data of three-phase low-voltage power distribution network are monitored.Mass data is generated as based on data-driven
Topology network architecture reconstruction provides possibility.
It can be seen that in the prior art, being had the following problems for the reconstruction of distribution net topology：
1. not distinguished to phase in the topological network Problems of Reconstruction currently based on power distribution network time-sequential voltage data；
2. the research of electric system topology is confined to the identification to power transmission network Topology Error and topologies change mostly
Detection, but power distribution network frequently update at present, wiring complexity, along with the development of intelligent grid, power distribution network links
Mass data is difficult to realize power distribution network topology Identification.
Invention content
To solve the above-mentioned problems in the prior art, the present invention proposes a kind of three-phase low-voltage power distribution network topology rebuilding
Method, technical solution disclosed by the invention are first identified the phase of three-phase low-voltage power distribution network, then rebuild different phases respectively
The method of the method for the data-driven of network topology under position, data-driven is not necessarily to low-voltage network topological connection relation and switch
The prioris such as deployment and state integrally realize phase identification and the topology weight of power distribution network merely with the data of intelligent electric meter
It builds.
For achieving the above object, the present invention specifically uses following technical scheme.
A kind of three-phase low-voltage power distribution network topology rebuilding method, it is characterised in that：It is primarily based on time-sequential voltage data correlation point
It analyses to identify the specific phase of busbar, for three groups of different phases, the busbar for belonging to three phases is utilized respectively Chow-
Liu algorithms are rebuild to carry out the topological structure of three-phase low-voltage distribution network, and three obtained network is finally carried out integration acquisition
Complete topology network architecture.
The three-phase low-voltage power distribution network topology rebuilding method includes the following steps：
Step 1：Time-sequential voltage data are obtained from the intelligent electric meter of user side；
Step 2：In each taiwan area, distribution network is abstracted as graph model G=(M, S), the node of busbar graph model
It indicates, i.e. M={ i, i=1,2 ..., N }, the side that branch route graph model indicates, i.e. S={ li,j,i,j∈M}；Wherein, G is distribution
The graph model of net, M are the set of node of power distribution network, and N is maximum node number, and S is the branch collection of power distribution network, li,jFor connecting node i and
The branch of node j；
Step 3：Given time window TpWith time interval T, an intelligent electric meter voltage value is obtained every time interval T,
D voltage value is acquired altogether constitutes a voltage vector Ui, wherein D=Tp/ T, UiVoltages of the expression busbar i in entire time window
The vector of composition, the time-sequential voltage for choosing the busbar that is belonging respectively to A phase, B phase and C phase nearest from transformer are distinguished as benchmark
It is denoted as：
Uph={ uph；Ph=A, B, C }；
Step 4：Calculate the time-sequential voltage U of busbar iiAnd UA, UB, UCBetween related coefficient, be denoted as ρ respectivelyi,A, ρi,B, ρi,C；
For busbar i, ρ is choseni,A, ρi,B, ρi,CIn maximum one, the phase corresponding to it is the phase that the busbar is identified to,
All busbares in cycle calculations power distribution network；
Step 5：All busbares in step 4 are added in three classifications of A phase, B phase, C phase；
Step 6：Respectively obtain three groups of cross-correlation information of three groups of busbares in step 5Wherein cross-correlation informationFor the weighted value obtained according to Chow-Liu algorithms, according to cross-correlation informationTopological network is carried out respectively
It rebuilds；
Step 7：The related coefficient between the time-sequential voltage as the busbar for being belonging respectively to A phases, B phases and C phases of benchmark is sought, it is whole
Close A phases, the three groups of reconstructions of B phases and C phases topological network, form a complete topology network architecture.
The present invention further comprises following preferred embodiment.
In step 4, in addition to as benchmark time-sequential voltage other busbares time-sequential voltage UiWhen with the benchmark of corresponding phase
The U of sequence voltagephRelated coefficient calculate as follows：
Wherein Cov (Ui,Uph) it is Ui,UphThe covariance of variable,For the standard deviation of two voltage quantities.
In step 6, the cross-correlation information between different group busbaresIt calculates as follows：
Wherein fuv(i, j) is P (ui=u, uj=v) maximal possibility estimation, fu(i) it is P (ui=u) maximum likelihood estimate
Meter, fv(j) it is P (uj=v) maximal possibility estimation, P (ui=u, uj=v) refer to ui=u, ujJoint probability when=v, P (ui
=u) refer to uiProbability when=u, P (uj=v) refer to ujProbability when=v.
In step 6, according to cross-correlation informationIt includes the following contents to carry out topological network reconstruction respectively：
6.1 are directed to each phase, choose busbar voltage and the maximum busbar a of reference voltage related coefficient；
6.2 according to cross-correlation informationIt chooses and the highest busbar b of busbar a cross-correlation information；
6.3 repeat step 6.2, until all busbares for belonging to the phase are completed to connect.
In step 7, the following contents is specifically included：
7.1 calculate the related coefficient between three reference voltages of three phases；
7.2, according to acquired results, connect three groups of voltages, i.e., benchmark big as related coefficient between the voltage of the busbar of benchmark
Busbar is connected.The present invention has technique effect beneficial below：
The present invention obtains the topology rebuilding that the cross-correlation information between each busbar completes network using Chow-Liu algorithms, obtains
The network connection relation of power distribution network low-voltage customer side, to reporting positioning for repairment, distribution network failure is studied and judged, power failure planning optimization etc. is helped
It helps.In addition the process that phase identification is introduced when rebuilding network structure, it is endless to solve power distribution network low-voltage customer side phase information
Whole problem, and then network imbalance problem can be detected using the phase information and undermine energy consumption problem to solve system line, simultaneously
Enter user network convenient for introducing regeneration energy.
Description of the drawings
Fig. 1 is that three-phase low-voltage power distribution network is registered one's residence schematic diagram；
Fig. 2 is three-phase low-voltage power distribution network topology rebuilding schematic diagram；
Fig. 3 is three-phase low-voltage power distribution network topology rebuilding method flow diagram of the present invention.
Specific implementation mode
Technical scheme of the present invention is described in further detail with specific embodiment with reference to the accompanying drawings of the specification.
The present invention proposes first carries out phase identification differentiation, and then the method for carrying out power distribution network topology rebuilding to busbar.
As shown in Figure 1 and Figure 2, in power distribution network, electric energy passes through total switchgear house, level-one controller switching equipment and two level controller switching equipment
The distribution box of terminal user is entered after link.The task of level-one controller switching equipment is to be changed into the middle piezoelectricity pressure of 10kV herein
The low voltage (system voltage) of 400V/230V, wherein 400V are the voltage between three phases (i.e. A, B, C three-phase) circuit
Value, 230V is phase voltage of three phase lines relative to the neutral conductor.Since there are many terminal user, level-one controller switching equipment point is only leaned on
It will lead to the equipment excessively bulky complex with electric energy, so secondary distribution electric energy is carried out with two level controller switching equipment, by two level
Controller switching equipment, output voltage are reduced to 380V/220V (normal voltage).The house distribution cable of secondary equipment delivers the power to end
In the electricity-measuring meter case of end subscriber, wherein house distribution cable has three phase lines, and the electricity-measuring meter case of terminal user is single
Mutually electricity, in order not to cause to waste, zero curve N can divide out two again, to being connected with three-phase firewire, i.e., " firewire a+ zero curves ",
Three groups of " firewire b+ zero curves ", " firewire c+ zero curves ", and then obtain three groups of electricity are distributed into each terminal according to actual conditions and are used
Family, the framework that three-phase is registered one's residence is as shown in figure.
It is three-phase low-voltage power distribution network topology rebuilding method flow diagram of the present invention as shown in Fig. 3, it is disclosed by the invention
Three-phase low-voltage power distribution network topology rebuilding method includes the following steps：
Step 1：Time-sequential voltage data are obtained from the intelligent electric meter of user side；
Since each terminal user is connected in a manner of single-phase in transmission line of electricity, and the terminal user on low pressure feeder line
Link information be largely it is incomplete or missing, so we for used in most of terminal users be specially
Which phase line is unknown.For this problem, we obtain the time-sequential voltage data of user's intelligent electric meter, utilize association analysis
Carry out the phase information of identification terminal user.
Step 2：Distribution network is abstracted as graph model
In order to which the network of power distribution network and parameter are described during to phase identification and topology rebuilding, now carry out following
Definition.In each taiwan area, distribution network is made of several busbares and branch.It is abstracted as graph model G=(M, S), busbar
It is indicated with the node of graph model, i.e. M={ i, i=1,2 ..., N }, the side that branch route graph model indicates, i.e. S={ li,j,i,j∈
M}。
Step 3：Choose reference voltage
Since the voltage curve variation tendency that out of phase changes over time is distinguishing, the identical voltage of phase is at any time
Between the correlation that changes over time between curve of correlation between the change curve voltage more different than phase it is stronger.So can root
According to the correlation between voltage, busbar is found out respectively by association analysis method and belongs to the time-sequential voltage number of A phases, B phases and C phases
According to related coefficient, the more big then relevant degree of related coefficient is higher, and phase is carried out by choosing maximum related coefficient
Identification.
Due to the time-sequential voltage data of busbar consider along on voltage drop, for upper different busbar along the line, distance
The position of transformer is different, and voltage magnitude is also different, and the busbar time-sequential voltage amplitude nearest apart from transformer electrical distance
It is higher.Given time window TpWith time interval T, the busbar that is belonging respectively to A phase, B phase and C phase nearest from transformer is chosen
Time-sequential voltage is denoted as respectively as benchmark
Uph={ uph；Ph=A, B, C },
Step 4：Each bus nodes voltage is obtained, and the related coefficient of each busbar and reference voltage is asked to carry out phase identification
Choose same time window TpWith time interval T, the time-sequential voltage data of remaining each busbar are obtained, U is denoted asi=
{ui；I=1,2 ..., N }, wherein N is the quantity of all busbares.
According to principle of correlation analysis, i.e., for two variable Xs, Y calculates X, and the related coefficient of Y is as follows：
Wherein Cov (X, Y)=E [(X- μX)(X-μY)] it is X, the covariance of Y variables；μX, μYRespectively variable X is averaged
The average value of value and variable Y；σX, σYThe respectively standard deviation of the standard deviation of variable X and variable Y.The bigger explanation two of related coefficient
The correlation of variable is stronger, and the correlation of smaller then two variables of related coefficient is smaller.So each busbar can be calculated separately
Time-sequential voltage UiAnd UA, UB, UCBetween related coefficientIt is denoted as ρ respectivelyi,A, ρi,B, ρi,C.For each
Busbar i chooses ρi,A, ρi,B, ρi,CIn maximum one, corresponding phase is the phase that the busbar is identified to.
Step 5：Phase identification is tri- groups of A, B, C
According to the method for the above association analysis, all busbares are separately added into three A phases, B phases and C phases classifications, are connect down
To carry out network topology structure reconstruction to belonging to the busbar of three phases respectively.To come specifically for belonging to the busbar of A phases
Bright reconstruction process, belong to B phases, C busbar reconstruction principle it is identical as A phases.
Step 6：Three groups of cross-correlation information matrixs are obtained using Chow-Liu algorithms, and then topology weight is carried out to three groups of busbares
It builds
It is rebuild based on Chow-Liu algorithms to carry out the topological structure of three-phase low-voltage distribution network.
Chow-Liu algorithms are according to cross-correlation informationUse Kruskal algorithm construction weight limit spanning trees.It presses
According to the descending of weight, a line is once built, if all weights are both greater than 0, the result of a connection can be obtained.
Detailed process is as follows：Chow-Liu algorithms are the finite samples that data-oriented is concentrated, and estimate that n is tieed up using tree-model
Discrete probability distribution.For n-dimensional vectorEach xiAll it is a variable, P (x) is n discrete variable x1,
x2,…,xnJoint probability distribution, we are with the tree-model of following form come approximate real joint probability distribution：
xπ(i)For the father node of variable i, if i is root node, P (xi|xπ(i))=P (xi), tree-model considers in data set
Correlation between variable.For variable xiAnd xj, define two variables between cross-correlation information beI.e.
Wherein P (xi,xj) it is variable xiAnd xjJoint probability distribution is directed to limited sample set, we use maximum seemingly
Right method estimated probability distribution function, is used when specifically usedI.e.
Wherein fuv(i, j) is P (xi=u, xj=v) maximal possibility estimation, n is sample size, i.e.,
fu(i) it is P (xi=u) maximal possibility estimation, i.e.,
fu(i)=∑vfuv(i,j) (6)
Acquire cross-correlation informationCross-correlation matrix can be established, and then completes the foundation of tree-model.
For the topology rebuilding of our three-phase low-voltage distribution network, reconstruction can be obtained using Chow-Liu algorithms
Undirected networks.The time-sequential voltage for the limited a busbar for belonging to three outs of phase can be obtained first, and then obtains identical phase
Cross-correlation information between the busbar of positionDue to electric between the close busbar of electrical distance
Press the curve of cyclical fluctuations more similar, i.e., the degree of correlation is high；Voltage fluctuation curve similarity degree is low between the remote busbar of electrical distance, i.e., related
It spends low.The correlation between voltage value by the cross-correlation information of time-sequential voltage between each busbar to weigh two consecutive variations
Degree.Next Kruskal algorithm construction weight limit spanning trees are just used, the phase between the busbar being connected with each other can be obtained
The maximum topology network architecture of relationship number.
Define each busbar, corresponding Ui, UjThe time-sequential voltage of expression busbar i and busbar j, and i, j ∈ 1,2 ...,
N }, n is the sum for all busbares being connected in A phase lines.Assuming that the busbar for being connected to A phases shares 6, then it can be according to 6 mothers
The voltage related coefficient of line obtains the symmetry square matrix matrix of a 6*6, enables hereAnd ai,j=aj,i, because
The two values are the related coefficient between busbar i and busbar j time-sequential voltages.Between each busbar time-sequential voltage of expression obtained
Correlation matrix form is as follows：
The nearest busbar i of selected distance transformer electrical distance is originating point, is next chosen from correlation matrix
With the maximum busbar of i related coefficients, it is assumed that be j as the downstream busbar being connected directly with i, similarly, continue from related coefficient square
It is chosen in battle array with the maximum busbar of j related coefficients as the downstream busbar being connected directly with j, until all 6 busbares all connect
Into circuit, obtained is the network topology structure for the user for belonging to A phases.
When the quantity of busbar is n, the above process is still set up.The user for belonging to phase B and phase C can similarly be obtained
Network topology structure.
Step 7：The related coefficient between reference voltage is sought, three groups of networks is integrated, obtains complete network structure
Seek the related coefficient between the time-sequential voltage as the busbar for being belonging respectively to A phases, B phases and C phases of benchmark, integrate A phases,
The topological network of three groups of reconstructions of B phases and C phases forms a complete topology network architecture.Specifically include the following contents：Calculate three
Related coefficient between three reference voltages of a phase, specific formula for calculation provide in step 4；According to acquired results,
Three groups of voltages are connected, i.e., benchmark busbar big as related coefficient between the voltage of the busbar of benchmark is connected.
In summary it analyzes, according to the correlation between association analysis voltage, busbar is divided into three A phases, B phases and C phases classes
Not, the topology of three-phase low-voltage distribution network is next carried out to belonging to the busbar of each phase according to Chow-Liu algorithms respectively
Structural remodeling finally integrates the reconstruction network of three phases, obtains the topology knot of complete three-phase low-voltage distribution network
Structure, figure is second is that the simple low-voltage distribution net topology schematic diagram generated by three-phase distribution net topology method for reconstructing.Include company in figure
Be connected on 13 user's topology schematic diagrames that 10Kv high pressures are converted to A, B, C three-phase low-voltage side by transformer, wherein user 1,
User 2 and user 3 are connected to A phases；User 4, user 5, user 6, user 7 and user 8 are connected to B phases；User 9, uses user 10
Family 11, user 12, user 13 are connected to C phases..
Applicant is described in detail and describes to the embodiment of the present invention in conjunction with Figure of description, but this field skill
Art personnel are it should be understood that above example is only the preferred embodiments of the invention, and explanation is intended merely to help reader in detail
More fully understand spirit of that invention, and it is not intended to limit the protection scope of the present invention, on the contrary, any invention essence based on the present invention
Any improvement or modification made by god should all be fallen within the scope and spirit of the invention.
Claims (6)
1. a kind of three-phase low-voltage power distribution network topology rebuilding method, it is characterised in that：It is primarily based on time-sequential voltage data relation analysis
It identifies the specific phase of busbar, for three groups of different phases, the busbar for belonging to three phases is utilized respectively Chow-
Liu algorithms are rebuild to carry out the topological structure of three-phase low-voltage distribution network, and three obtained network is finally carried out integration acquisition
Complete topology network architecture.
2. a kind of three-phase low-voltage power distribution network topology rebuilding method, which is characterized in that three-phase low-voltage power distribution network topology rebuilding side
Method includes the following steps：
Step 1：Time-sequential voltage data are obtained from the intelligent electric meter of user side；
Step 2：In each taiwan area, distribution network is abstracted as graph model G=(M, S), the node of busbar graph model indicates,
That is M={ i, i=1,2 ..., N }, branch route the side expression of graph model, i.e. S={ li,j,i,j∈M}；Wherein, G is power distribution network
Graph model, M are the set of node of power distribution network, and N is maximum node number, and S is the branch collection of power distribution network, li,jFor connecting node i and node
The branch of j；
Step 3：Given time window TpWith time interval T, an intelligent electric meter voltage value is obtained every time interval T, is acquired altogether
D voltage value constitutes a voltage vector Ui, wherein D=Tp/ T, UiIndicate what busbar i was constituted in the voltage of entire time window
Vector, the time-sequential voltage for choosing the busbar that is belonging respectively to A phase, B phase and C phase nearest from transformer are denoted as respectively as benchmark
Uph={ uph；Ph=A, B, C }；
Step 4：Calculate the time-sequential voltage U of busbar iiAnd UA, UB, UCBetween related coefficient, be denoted as ρ respectivelyi,A, ρi,B, ρi,C；For
Busbar i chooses ρi,A, ρi,B, ρi,CIn maximum one, the phase corresponding to it is the phase that the busbar is identified to, cycle
Calculate all busbares in power distribution network；
Step 5：All busbares in step 4 are added in three classifications of A phase, B phase, C phase；
Step 6：Respectively obtain three groups of cross-correlation information of three groups of busbares in step 5Wherein cross-correlation informationFor the weighted value obtained according to Chow-Liu algorithms, according to cross-correlation informationTopological network is carried out respectively
It rebuilds；
Step 7：The related coefficient between the time-sequential voltage as the busbar for being belonging respectively to A phases, B phases and C phases of benchmark is sought, A is integrated
Phase, the three groups of reconstructions of B phases and C phases topological network, formed a complete topology network architecture.
3. three-phase low-voltage power distribution network topology rebuilding method according to claim 2, it is characterised in that：
In step 4, in addition to as benchmark time-sequential voltage other busbares time-sequential voltage UiWith the benchmark time-sequential voltage of corresponding phase
UphRelated coefficient calculate as follows：
Wherein Cov (Ui,Uph) it is Ui,UphThe covariance of variable,For the standard deviation of two voltage quantities.
4. three-phase low-voltage power distribution network topology rebuilding method according to claim 2 or 3, it is characterised in that：
In step 6, the cross-correlation information between different group busbaresIt calculates as follows：
Wherein fuv(i, j) is P (ui=u, uj=v) maximal possibility estimation, fu(i) it is P (ui=u) maximal possibility estimation, fv
(j) it is P (uj=v) maximal possibility estimation, P (ui=u, uj=v) refer to ui=u, ujJoint probability when=v, P (ui=u)
Refer to uiProbability when=u, P (uj=v) refer to ujProbability when=v.
5. three-phase low-voltage power distribution network topology rebuilding method according to claim 4, it is characterised in that：In step 6, according to
Cross-correlation informationIt includes the following contents to carry out topological network reconstruction respectively：
6.1 are directed to each phase, choose busbar voltage and the maximum busbar a of reference voltage related coefficient；
6.2 according to cross-correlation informationIt chooses and the highest busbar b of busbar a cross-correlation information；
6.3 repeat step 6.2, until all busbares for belonging to the phase are completed to connect.
6. three-phase low-voltage power distribution network topology rebuilding method according to claim 2, it is characterised in that：
In step 7, the following contents is specifically included：
7.1 calculate the related coefficient between three reference voltages of three phases；
7.2, according to acquired results, connect three groups of voltages, i.e., benchmark big as related coefficient between the voltage of the busbar of benchmark is female
Line is connected.
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| CN109274095A (en) * | 2018-10-30 | 2019-01-25 | 东北大学秦皇岛分校 | Low-voltage distribution network users topology estimation method and system based on mutual information |
| CN109738723A (en) * | 2018-12-29 | 2019-05-10 | 重庆邮电大学 | A kind of electric energy meter three-phase automatic identification method |
| CN110674158A (en) * | 2019-10-15 | 2020-01-10 | 广东电网有限责任公司 | Method and system for automatically updating local area for low-voltage user |
| CN110865328A (en) * | 2019-11-08 | 2020-03-06 | 上海电力大学 | Intelligent electric meter phase identification, topology identification and impedance estimation method based on AMI |
| CN111162533A (en) * | 2020-01-17 | 2020-05-15 | 天津大学 | Smart power grid hidden topology structure identification method based on convex optimization |
| CN111199363A (en) * | 2020-01-20 | 2020-05-26 | 上海电力大学 | Method for realizing topology recognition by maximum correlation screening algorithm |
| CN111505443A (en) * | 2020-05-13 | 2020-08-07 | 广州市奔流电力科技有限公司 | Low-voltage transformer area line-to-user relationship identification method and device and computer equipment |
| CN112182499A (en) * | 2020-10-23 | 2021-01-05 | 国网天津市电力公司 | Low-voltage distribution network topological structure identification method based on time sequence electric quantity data |
| CN114169118A (en) * | 2021-12-17 | 2022-03-11 | 国网上海市电力公司 | Power distribution network topological structure identification method considering distributed power supply output correlation |
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