CN111628494B - Low-voltage distribution network topology identification method and system based on logistic regression method - Google Patents
Low-voltage distribution network topology identification method and system based on logistic regression 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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- G—PHYSICS
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- G06F18/24—Classification techniques
- G06F18/241—Classification techniques relating to the classification model, e.g. parametric or non-parametric approaches
- G06F18/2411—Classification techniques relating to the classification model, e.g. parametric or non-parametric approaches based on the proximity to a decision surface, e.g. support vector machines
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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
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/381—Dispersed generators
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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
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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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
- H02J2300/00—Systems for supplying or distributing electric power characterised by decentralized, dispersed, or local generation
- H02J2300/20—The dispersed energy generation being of renewable origin
Abstract
The invention discloses a low-voltage distribution network topology identification method and system based on a logistic regression method. With the penetration of distributed energy, the electric power energy system puts higher requirements on a rapid and accurate online data analysis tool. The technical scheme adopted by the low-voltage distribution network topology identification method is as follows: firstly, collecting time sequence voltage amplitude information of a user of a low-voltage distribution area, secondly, training historical data to obtain a topological classification model, then obtaining a group of most similar historical data through a nearest neighbor algorithm, and finally, putting the historical data into a trained regression model to predict and finish the topological identification of the low-voltage distribution area. The method can better cope with the change of the power industry mode from the traditional physical model-based monitoring system structure to the data-driven resource management mode, and breaks through the current situation that the existing monitoring architecture-based model needs large-scale complex modeling and consumes a large amount of time.
Description
Technical Field
The invention belongs to the field of power distribution network topology identification, and relates to a low-voltage power distribution network topology identification method and system based on a logistic regression method.
Background
The power network analysis and optimization problem is the basis for power system control, operation and planning. In recent years, high-proportion renewable energy sources are connected to the power grid on a large scale, the power generation output of the high-proportion renewable energy sources has strong randomness, and higher requirements are provided for uncertainty analysis and optimization of a power system. The permeation of distributed energy, energy storage, electric vehicles and other equipment in a terminal power distribution network is gradually increased, so that the analysis and control of the power distribution network are more complicated. These factors present challenges to the power network analysis and optimization problem.
On the other hand, data analysis and processing technology has rapidly developed in recent years, and various industries around the world have made a great deal of investment and have developed intense competition in a brand new dimension of data acquisition, analysis and processing. Due to the characteristic of real-time balance of electric power, the electric power industry has higher requirements on real-time performance and accuracy in daily scheduling operation, so that the measurement, transmission and storage of data have better accumulation, and a good foundation is laid for data-driven analysis. The problem is mainly independent of a physical model of a power system, and can be summarized as that the dependence on the physical model of the power system is reduced by a process of solving unknown data (data to data, D2D) according to known data by virtue of a certain incidence relation. The application of data-driven thinking and technologies to the traditional power network analysis and optimization problem can comprehensively utilize historical data and priori knowledge, so that the results of the power network analysis and optimization are more accurate and updated in real time, and the stability of a power system is improved.
Problems in the existing research: most researches on the topology of the power system are limited to identification of topology errors of a power transmission network and detection of changes of a topological structure, but at present, the power distribution network is frequently updated and complicated in wiring, and mass data of all links of the power distribution network are difficult to identify the topology of the power distribution network along with development of a smart power grid.
Disclosure of Invention
The invention aims to provide a low-voltage distribution network topology identification method and system based on a logistic regression method aiming at the defects of the prior art, which can effectively solve the problem that the difficulty of topology identification is obviously increased due to frequent changes of network topology caused by large-scale grid connection of high-proportion renewable energy sources, and further perform calculation and optimization on an electric power system, thereby improving the stability of the electric power system.
Therefore, the invention adopts the following technical scheme: a low-voltage distribution network topology identification method based on a logistic regression method comprises the following steps:
1) collecting time series voltage amplitude information of a low-voltage distribution station user as data for identifying low-voltage distribution station topology, and using a corresponding time series historical topological structure as a label;
2) training a regression method to generate a regression model;
3) obtaining a set of most similar historical data by a nearest neighbor algorithm using time series historical voltage measurements of the historical data
4) Using the historical dataAnd (4) putting the power distribution network into a trained regression model for prediction to obtain the optimal topological structure of the low-voltage power distribution network.
The invention aims to improve the accuracy of topology identification by utilizing the massive historical data so as to deal with the uncertainty in the smart grid.
As a further optimization scheme, the data collected in step 1) comprises time-series historical voltage measurement values of historical data and a time-series historical topology structure of the historical data;
11) time series voltage amplitude measurements for low voltage distribution station users: { z1,z2,...,zk,...,zQQ is the length of the time series, zkA vector representing voltage measurements over a time series;
12) time series historical topology of historical data: { s1,s2,...,sk,...,sQQ represents the length of the time series, skThe switching state vector represents a switching state vector of the power distribution network under a time sequence, the value is 1 when the switch is closed, and the value is 0 when the switch is disconnected.
As a further optimization scheme, the specific content of step 2) is as follows:
21) putting the obtained historical data into a machine learning algorithm SVM for training to obtain a topological classification model, and training a regression model, namely the probability distribution with the maximum value as follows:
wherein w is { w ═ w0,w1,...,wnParameter representing probability, zkAnd s(l)Time series historical voltage measurement vector and collection respectively representing historical dataTime series historical topology structure vectors of historical data;
22) log the first equation in 21) yields:
in the formula (I), the compound is shown in the specification,representing the kth element in the switching state vector of the power distribution network under a time node k;
for this formula, the gradient descent method is used to obtain the optimal parametersCompleting the training of the model; w is aiWhich represents the (i) th parameter,representing the kth element in the distribution network switch state vector at time node i.
d (v) is a function of time and distance, representing the measured value z of the current voltagecurrentWith historical voltage measurements zkThe distance of (d);is a vector in which the voltage measurement vector and the switch state vector are merged together; q is the number of all data points in the time data set; n is a set of temporal natural numbers; k is the index of the data point; k is the base of v, which represents the voltage.
The invention also provides a low-voltage distribution network topology identification system based on a logistic regression method, which comprises the following steps:
a data acquisition module: collecting time series voltage amplitude information of a low-voltage distribution station user as data for identifying low-voltage distribution station topology, and using a corresponding time series historical topological structure as a label;
a model generation module: training a regression method to generate a regression model;
a historical data acquisition module: obtaining a set of most similar historical data by a nearest neighbor algorithm using time series historical voltage measurements of the historical data
A topology prediction module: using the historical dataAnd (4) putting the power distribution network into a trained regression model for prediction to obtain the optimal topological structure of the low-voltage power distribution network.
Further, in the data acquisition module, the acquired data includes a time-series historical voltage measurement value of the historical data and a time-series historical topology structure of the historical data, and the specific contents are as follows:
11) time series voltage amplitude measurements for low voltage distribution station users: { z1,z2,...,zk,...,zQQ is the length of the time series, zkA vector representing voltage measurements over a time series;
12) time series historical topology of historical data: { s1,s2,...,sk,...,sQQ represents the length of the time series, skThe switching state vector represents a switching state vector of the power distribution network under a time sequence, the value is 1 when the switch is closed, and the value is 0 when the switch is disconnected.
Further, the specific content of the model generation module is as follows:
21) putting the obtained historical data into a machine learning algorithm SVM for training to obtain a topological classification model, and training a regression model, namely the probability distribution with the maximum value as follows:
wherein w is { w ═ w0,w1,...,wnParameter representing probability, zkAnd s(l)Respectively representing a time series historical voltage measured value vector of historical data and a time series historical topological structure vector of collected historical data;
22) log the first equation in 21) yields:
in the formula (I), the compound is shown in the specification,representing the kth element in the switching state vector of the power distribution network under a time node k;
for this formula, the gradient descent method is used to obtain the optimal parametersCompleting the training of the model; w is aiWhich represents the (i) th parameter,representing the kth element in the distribution network switch state vector at time node i.
d (v) is a function of time and distance, representing the measured value z of the current voltagecurrentWith historical voltage measurements zkThe distance of (d);is a vector in which the voltage measurement vector and the switch state vector are merged together; q is the number of all data points in the time data set; n is a set of temporal natural numbers; k is the index of the data point; k is the base of v, which represents the voltage.
The invention has the following beneficial effects: the method can effectively solve the problem that the difficulty of topology identification is obviously increased due to frequent changes of network topology caused by large-scale grid connection of high-proportion renewable energy sources, and further performs calculation and optimization on the electric power system, so that the stability of the electric power system is improved; the method has high accuracy of topology identification and short running time of topology identification.
Drawings
Fig. 1 is a flow chart of a low-voltage distribution network topology identification method of the present invention;
fig. 2 is a diagram of an IEEE30 node according to an embodiment of the present invention.
Detailed Description
The technical scheme of the invention is explained in detail in the following with the accompanying drawings of the specification.
Example 1
The embodiment provides a low-voltage distribution network topology identification method based on a logistic regression method, a flow chart of which is shown in fig. 1, and the method comprises the following steps:
step (1): the method comprises the steps of collecting time series voltage amplitude information of low-voltage power distribution station users as data for identifying low-voltage power distribution station topology, and using a corresponding time series historical topological structure as a label.
And measuring the voltage of each node at regular time by using the intelligent electric meter to obtain the historical time sequence value of the voltage of each node.
Time series voltage amplitude measurements for low voltage distribution station users: { z1,z2,...,zk,...,zQQ represents the length of the time series, zkRepresenting a vector of voltage measurements in a time series.
Collecting a time-series historical topology of historical data: { s1,s2,...,sk,...,sQQ represents the length of the time series, skThe switching state vector represents a switching state vector of the power distribution network under a time sequence, the value is 1 when the switch is closed, and the value is 0 when the switch is disconnected.
Step (2): and putting the obtained historical data into a machine learning algorithm SVM for training to obtain a topological classification model.
Training the regression model, i.e. the probability distribution at the maximum:
wherein w ═ { w ═ w0,w1,...,wn}。
Taking log of the equation yields:
the binary variable represents the kth element in the switching state vector of the power distribution network under the time node k.
Substituting into the formula can obtain:
the optimal parameters can be obtained by using a gradient descent methodAnd finishing the training of the model. w is aiWhich represents the (i) th parameter,representing the kth element in the distribution network switch state vector at time node i.
Step (3) using the time series historical voltage measurement value of the historical data to obtain a group of most similar historical data through a nearest neighbor algorithm
And classifying all the nodes by adopting a K neighbor algorithm according to the historical time sequence value of the node voltage to obtain K neighbor points of each node.
And calculating the distance between any two nodes according to the voltage time sequence value, wherein k nodes with the minimum distance from the selected node are used as adjacent points of the selected node.
The k value is selected to meet the dual requirements of the accuracy rate and the running time of the topology identification, and the larger the value of k is, the higher the accuracy rate of the topology identification is, but the longer the running time is.
The value range of k is 2-n, and n represents the number of nodes of the power distribution network.
k is equal to the integer closest to n/4, n representing the number of nodes of the distribution network.
and (4): obtaining a set of most similar historical data by a nearest neighbor algorithmAnd putting the topological structure into a trained regression model for prediction to obtain the optimal topological structure of the low-voltage distribution area.
Fig. 2 is an IEEE43 node diagram.
In the IEEE43 node map, a conventional topology identification method and a topology identification method based on logistic regression are respectively employed.
The rapid algorithm provided by the invention is used for identifying the topology of the power distribution network, and has the following advantages:
1) the accuracy rate of topology identification is high
The definition of the accuracy of the topology identification algorithm is as follows:
wherein the content of the first and second substances,for the set of node pairs for topology estimation, | ε | is the size of the exact set of topology node pairs ε.
2) The running time of topology identification is short.
Example 2
The embodiment provides a low voltage distribution network topology identification system based on a logistic regression method, which includes:
a data acquisition module: collecting time series voltage amplitude information of a low-voltage distribution station user as data for identifying low-voltage distribution station topology, and using a corresponding time series historical topological structure as a label;
a model generation module: training a regression method to generate a regression model;
a historical data acquisition module: obtaining a set of most similar historical data by a nearest neighbor algorithm using time series historical voltage measurements of the historical data
A topology prediction module: using the historical dataAnd (4) putting the power distribution network into a trained regression model for prediction to obtain the optimal topological structure of the low-voltage power distribution network.
In the data acquisition module, the acquired data comprises time-series historical voltage measurement values of historical data and a time-series historical topological structure of the historical data, and the specific contents are as follows:
11) time series voltage amplitude measurements for low voltage distribution station users: { z1,z2,...,zk,...,zQQ is the length of the time series, zkA vector representing voltage measurements over a time series;
12) time series historical topology of historical data: { s1,s2,...,sk,...,sQQ represents the length of the time series, skThe switching state vector represents a switching state vector of the power distribution network under a time sequence, the value is 1 when the switch is closed, and the value is 0 when the switch is disconnected.
The specific contents of the model generation module are as follows:
21) putting the obtained historical data into a machine learning algorithm SVM for training to obtain a topological classification model, and training a regression model, namely the probability distribution with the maximum value as follows:
wherein w is { w ═ w0,w1,...,wnRepresenting probabilitiesParameter, zkAnd s(l)Respectively representing a time series historical voltage measured value vector of historical data and a time series historical topological structure vector of collected historical data;
22) log the first equation in 21) yields:
in the formula (I), the compound is shown in the specification,representing the kth element in the switching state vector of the power distribution network under a time node k;
for this formula, the gradient descent method is used to obtain the optimal parametersCompleting the training of the model; w is aiWhich represents the (i) th parameter,representing the kth element in the distribution network switch state vector at time node i.
d (v) is the distance in timeFunction representing the measured value z of the present voltagecurrentWith historical voltage measurements zkThe distance of (d);is a vector in which the voltage measurement vector and the switch state vector are merged together; q is the number of all data points in the time data set; n is a set of temporal natural numbers; k is the index of the data point; k is the base of v, which represents the voltage.
Claims (4)
1. A low-voltage distribution network topology identification method based on a logistic regression method is characterized by comprising the following steps:
1) collecting time series voltage amplitude information of a low-voltage distribution station user as data for identifying low-voltage distribution station topology, and using a corresponding time series historical topological structure as a label;
2) training a regression method to generate a regression model;
3) obtaining a set of most similar historical data by a nearest neighbor algorithm using time series historical voltage measurements of the historical data
4) Using the historical dataPutting the power distribution network into a trained regression model for prediction to obtain an optimal topological structure of the low-voltage power distribution area;
the data collected in the step 1) comprises time-series historical voltage measurement values of historical data and a time-series historical topological structure of the historical data;
11) time series voltage amplitude measurements for low voltage distribution station users: { z1,z2,...,zk,...,zQQ is the length of the time series, zkA vector representing voltage measurements over a time series;
12) time series historical topology of historical data: { s1,s2,...,sk,...,sQQ represents the length of the time series, skRepresenting a switch state vector of the power distribution network under a time sequence, wherein the value is 1 when the switch is closed and the value is 0 when the switch is disconnected;
the specific content of the step 2) is as follows:
21) putting the obtained historical data into a machine learning algorithm SVM for training to obtain a topological classification model, and training a regression model, namely the probability distribution with the maximum value as follows:
wherein w is { w ═ w0,w1,...,wnParameter representing probability, zkAnd s(l)Respectively representing a time series historical voltage measured value vector of historical data and a time series historical topological structure vector of collected historical data;
22) log the first equation in 21) yields:
in the formula (I), the compound is shown in the specification,representing the kth element in the switching state vector of the power distribution network under a time node k;
2. The method for identifying the topology of the low-voltage distribution network based on the logistic regression method as claimed in claim 1, wherein the topology obtained in the step 3) is obtainedThe formula of (1) is:
d (v) is a function of time and distance, representing the measured value z of the current voltagecurrentWith historical voltage measurements zkThe distance of (d);is a vector in which the voltage measurement vector and the switch state vector are merged together; q is the number of all data points in the time data set; n is a set of temporal natural numbers; k is the index of the data point; k is the base of v, which represents the voltage.
3. A low voltage distribution network topology identification system based on a logistic regression method is characterized by comprising the following steps:
a data acquisition module: collecting time series voltage amplitude information of a low-voltage distribution station user as data for identifying low-voltage distribution station topology, and using a corresponding time series historical topological structure as a label;
a model generation module: training a regression method to generate a regression model;
a historical data acquisition module: make itObtaining a group of most similar historical data by a nearest neighbor algorithm by using time series historical voltage measurement values of the historical data
A topology prediction module: using the historical dataPutting the power distribution network into a trained regression model for prediction to obtain an optimal topological structure of the low-voltage power distribution area;
in the data acquisition module, the acquired data comprises time-series historical voltage measurement values of historical data and a time-series historical topological structure of the historical data, and the specific contents are as follows:
11) time series voltage amplitude measurements for low voltage distribution station users: { z1,z2,...,zk,...,zQQ is the length of the time series, zkA vector representing voltage measurements over a time series;
12) time series historical topology of historical data: { s1,s2,...,sk,...,sQQ represents the length of the time series, skRepresenting a switch state vector of the power distribution network under a time sequence, wherein the value is 1 when the switch is closed and the value is 0 when the switch is disconnected;
the specific contents of the model generation module are as follows:
21) putting the obtained historical data into a machine learning algorithm SVM for training to obtain a topological classification model, and training a regression model, namely the probability distribution with the maximum value as follows:
wherein w is { w ═ w0,w1,...,wnParameter representing probability, zkAnd s(l)Time series calendar respectively representing historical dataHistorical voltage measurement value vector and historical topological structure vector of time series of collected historical data;
22) log the first equation in 21) yields:
in the formula (I), the compound is shown in the specification,representing the kth element in the switching state vector of the power distribution network under a time node k;
4. The system for identifying topology of low-voltage distribution network based on logistic regression method according to claim 3, wherein the historical data acquisition module acquiresThe formula of (1) is:
d (v) is a function of time and distance, representing the measured value z of the current voltagecurrentWith historical voltage measurements zkThe distance of (d);is a vector in which the voltage measurement vector and the switch state vector are merged together; q is the number of all data points in the time data set; n is a set of temporal natural numbers; k is the index of the data point; k is the base of v, which represents the voltage.
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