CN110837024A - Overhead line power distribution network fault feeder line positioning method based on correlation coefficient algorithm - Google Patents
Overhead line power distribution network fault feeder line positioning method based on correlation coefficient algorithm Download PDFInfo
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Abstract
The invention discloses a correlation coefficient algorithm-based overhead line power distribution network fault feeder line positioning method, and belongs to the field of power distribution network fault detection. The method comprises the following steps: acquiring a main section where a fault feeder is located through a power distribution network matrix algorithm; and processing the main section by a correlation analysis algorithm to obtain a branch line where the fault feeder line is located. The improved correlation coefficient algorithm provided by the invention is good in practical performance and low in complexity, and is effective in fault location of any power distribution network overhead line.
Description
Technical Field
The invention discloses a correlation coefficient algorithm-based overhead line power distribution network fault feeder line positioning method, and belongs to the field of power distribution networks.
Background
Through five processes of power generation of a power plant, power transmission of a power transmission line, power transformation of a transformer, power distribution to a user side and power utilization of the user side and related equipment, an electric power system transmits electric energy to a power utilization terminal. The power distribution network for distributing the electric energy to each user terminal is a link connecting a power supply part and a power utilization terminal and is also the last loop of a power system, and the power distribution network directly supplies power to the power utilization terminal through a circuit after reducing the voltage of the high voltage and is a carrier for supplying power to cities, rural areas and mountainous areas. The power distribution network directly supplies power to users, the requirements of the users on the power supply quality are mainly borne by the power distribution network, and the key links for ensuring the power supply reliability, improving the power consumption quality of the users and improving the operation efficiency of a power system are provided.
According to the data collected at home and abroad, about 95% of users have power failure caused by the power distribution network, and about 70% of the users have medium-voltage power distribution networks. Because the load of the power distribution network is lack of theoretical basis, with the development of cities and rural areas, the circuits of the power distribution network are disordered, most main lines are provided with branch lines or even sub-branch lines, and faults are mostly generated on the branch lines. However, the power distribution network is generally considered to have many problems of monitoring points, data transmission, data storage, time scale requirements, equipment power supply and the like, so that the research on the fault location of the power distribution network is difficult and serious. Meanwhile, the branch line is an extension of the trunk line, and the power failure of the whole feeder line can be caused when the branch line has a permanent fault or an instantaneous fault, so that the power failure of a non-fault section is caused. Therefore, the method for positioning the fault of the fault branch feeder of the medium-voltage distribution network is the key research content of the invention.
Disclosure of Invention
Aiming at the defects of the prior art, the invention aims to provide a method for positioning a fault feeder of an overhead line power distribution network based on a correlation coefficient algorithm, so as to solve the problem that the fault of the power distribution network is difficult to position in the prior art.
In order to solve the technical problems, the technical scheme adopted by the invention is as follows:
a method for positioning a fault feeder of an overhead line power distribution network based on a correlation coefficient algorithm comprises the following steps:
acquiring a main section where a fault feeder is located through a power distribution network matrix algorithm;
and processing the main section by a correlation analysis algorithm to obtain a branch line where the fault feeder line is located.
Further, the power distribution network matrix algorithm comprises a network description matrix, a fault information matrix and a fault section discrimination matrix.
Further, the network description matrix is:
D＝[dij]N×N，
wherein D represents a network description matrix, DijDescribing elements of the matrix for the network, wherein N is the number of switch nodes from a power switch to a tie switch;
the fault information matrix is:
G＝[gij]N×N
where G is a fault information matrix, GijIs an element of the fault information matrix;
the fault discrimination matrix is:
P＝D×G＝[pij]N×N，
and P is a fault discrimination matrix.
Further, the processing procedure of the correlation analysis algorithm includes:
acquiring a current signal of one endpoint in the main section as a fault reference point;
acquiring a current signal of each branch in the main subsection as a current sampling point;
calculating a correlation coefficient according to the current sampling point and the fault reference point;
and sequencing the correlation coefficients to obtain the branch circuit corresponding to the minimum correlation coefficient, namely the branch circuit where the fault feeder line is located.
Further, the calculation method of the correlation analysis algorithm includes:
wherein x (1) represents the current signal of the fault reference point, y (n) represents the current signal of the branch, and n represents the sampling sequence; and N is the signal data length.
Further, the fault feeder comprises a three-phase short-circuit fault, a three-phase short-circuit fault and a two-phase grounding short-circuit fault.
A system for locating a faulty feeder in an overhead line distribution network based on a correlation coefficient algorithm, the system comprising:
a first data acquisition module: the method comprises the steps of obtaining a main section where a fault feeder is located through a power distribution network matrix algorithm;
a second data acquisition module: the method is used for processing the current signals of the branch lines on the main section through a correlation analysis algorithm to obtain the branch line where the fault feeder line is located.
A fault feeder line positioning system of an overhead line power distribution network based on a correlation coefficient algorithm comprises a processor and a storage medium;
the storage medium is used for storing instructions;
the processor is configured to operate according to the instructions to perform the steps of the method described above.
A computer-readable storage medium, on which a computer program is stored which is executed by a processor for performing the steps of the above-described method.
Compared with the prior art, the invention has the advantages that:
according to the method, the branch line where the fault feeder line is located can be determined step by step through the combination of the power distribution network matrix algorithm and the related analysis algorithm, the input of manpower and materials can be effectively reduced, the stability of power grid operation can be effectively improved, and the method is simple and easy to popularize.
Drawings
FIG. 1 is a flow chart of overhead line power distribution network fault feeder location of the present invention;
FIG. 2 is a line diagram of a 10KV power distribution network;
fig. 3 is a fault current diagram when the two phases of the main trunk are in short circuit fault.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail by embodiments with reference to the accompanying drawings. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
In the invention, in order to research the fault location problem of the power distribution network, the fault of the power distribution network needs to be analyzed and known in detail. And analyzing the fault characteristics of the power distribution network and the working principle and the advantages and the disadvantages of the fault indicator, and positioning fault information by using the fault indicator. And the accurate positioning of the overhead line power distribution network fault feeder is realized by combining a correlation coefficient calculation method.
As shown in fig. 1, the overhead line power distribution network fault feeder positioning method based on the correlation coefficient algorithm of the invention comprises the following steps:
the method comprises the following steps: based on the fault characteristics of the power distribution network and the working principle and the advantages and disadvantages of the fault indicator, the fault indicator is utilized to position fault information.
The fault location method mainly aims at two-phase short-circuit faults, two-phase grounding short-circuit faults and three-phase short-circuit faults in overhead line power distribution network faults, and carries out fault location research. When a three-phase short-circuit fault occurs, the short-circuit current is far larger than the normal load current, and the heat effect and the electrodynamic force effect generated by the three-phase short-circuit fault cause the electrical equipment to be seriously damaged and should be paid sufficient attention; and secondly, when two-phase grounding short-circuit faults and two-phase short-circuit faults occur, the fault phase current is increased, the system stability is damaged, and the safe operation of the power distribution network is seriously threatened. Therefore, the fault characteristics of the power distribution network overhead line when the fault occurs need to be analyzed so as to obtain a detection criterion which is easy to locate the fault. Since most of 10KV medium-voltage distribution networks are ungrounded systems, research and analysis are mainly performed on medium-voltage 10KV distribution networks with ungrounded neutral points.
1) Three-phase short-circuit fault
When three-phase short circuit fault occurs in the symmetrical three-phase circuit, the short-circuit current is symmetrical, so the method can be researched according to a single-phase circuit. Assuming that a short circuit occurs when t is 0s, the instantaneous value of the a-phase current should conform to the following equation:
wherein, UmPower supply voltage, α power supply voltage phase angle in short circuit, iαThe instantaneous current of phase A, w is the angular velocity in Fourier transform, t is the time variable, R is the resistance on the circuit, and L is the inductance on the circuit.
The expression of the a-phase short-circuit current is:
wherein, ImFor the magnitude of the steady-state short-circuit current,
z is the impedance on the circuit;
is the phase angle between the supply voltage and the steady state short circuit current; i.e. iαIs A phase instantaneous current; the integral constant C is determined by an initial premise, and the value of the integral constant C is an initial value of the direct current component; t isαIn order to be a constant number of decay times,
therefore, when a three-phase short-circuit fault occurs, the fault current can be large, and the fault current can also have a large current increment in the circuit in the moment of the occurrence of the fault, so that whether the three-phase short-circuit fault occurs or not can be judged by utilizing the current change rate or exceeding a preset current threshold value.
2) Two-phase short circuit fault
The two-phase short-circuit fault is an asymmetric short-circuit fault, and a symmetric component method is needed for analyzing the two-phase short-circuit fault when the two-phase short-circuit fault is analyzed.
The symmetrical component method refers to the fault analysis of the asymmetric short circuit by utilizing three-sequence phasors of zero sequence, negative sequence and positive sequence, and the difficulty of the fault analysis can be simplified. Wherein, the positive sequence phasor means that the amplitude is the same, and the ABC three-phase phases respectively lead by 120 degrees in sequence; negative sequence phasors also refer to phasors of comparable magnitude but opposite phase to those in positive sequence; zero-sequence phasors refer to phasors that are both identical in magnitude and phase.
It can be seen that, when a two-phase interphase short-circuit fault occurs, the fault phase current value is increased and is a three-phase short-circuit fault current value
And the current value of the non-fault phase is 0, the fault phase voltage can be reduced by half, and the non-fault phase voltage is unchanged. Therefore, when a two-phase interphase short-circuit fault occurs, the fault current is large, and the line has a large current increment at the moment of the fault, so that whether the two-phase interphase short-circuit fault occurs can be judged by using the current change rate or exceeding a preset current threshold value.
3) Two-phase ground short circuit fault
When the two-phase ground short-circuit fault occurs, the fault phase current value is increased and is larger than the two-phase interphase short-circuit fault current value, the non-fault phase current value is 0, the fault phase voltage value is 0, and the non-fault phase voltage is increased. Therefore, a large current increment is generated at the moment of the two-phase grounding short-circuit fault, so that whether the two-phase grounding short-circuit fault occurs or not can be judged by using the current change rate or exceeding a preset current threshold value.
Step two: based on a power distribution network matrix algorithm, the network description matrix, the fault information matrix, the fault section judgment matrix and the fault branch judgment matrix of the fault feeder line are established by utilizing the determination of the real-time topology on the contact switch, and an improved matrix algorithm for carrying out fault location on the fault branch feeder line is established.
The fault location matrix algorithm is mainly divided into two types; 1) a matrix algorithm based on a net-based structure; 2) Matrix algorithm based on mesh structure. China's distribution network adopts the mode of "closed-loop design, open-loop operation" more, so can be according to the position and the open and shut state of interconnection switch (normally open switch), divide complicated distribution network into several independent radial networks to can carry out independent consideration to each power supply district, the matrix algorithm that can use the directionless goes to describe the distribution network topology. .
1) Network description matrix
If the number of switch nodes from the power switch to the interconnection switch is N, a network description matrix D, D of an N-order square matrix can be formed according to the network topology structureijIs the element thereof. The network description matrix may be represented as:
D＝[dij]N×N
2) fault information matrix
Constructing fault information matrix G, G by using node overcurrent information reported by terminal in faultijIs the element thereof. The information failure matrix is:
G＝[gij]N×N
3) fault section discrimination matrix
Multiplying the network description matrix D by the fault information matrix G to obtain a fault discrimination matrix P, Pij(i, j ═ 1,2, …. N) is where the elements, and the fault section decision matrix is:
P＝D×G＝[pij]N×N。
4) fault branch discrimination matrix
And installing fault indicators on all branch lines, using distributed intelligent terminals installed on the trunk line as nodes, defining trunk sections to which the fault indicators belong by using the positions of the nodes and the fault indicators, dividing trunk units and branch units, and numbering the branch units to form a unit adjacency list showing adjacency relations of the units.
Step three: and carrying out secondary fault positioning on the power distribution network by using an improved correlation analysis algorithm with fault tolerance based on similarity and difference of fault information.
Correlation analysis algorithm is a method of signal processing, which detects signalsThe method has good detection and identification, and is suitable for processing signals in the power system. Meanwhile, as the cross-correlation function contains phase information, the cross-correlation function can comprehensively reflect the correlation of two signals and can fully utilize the phase characteristics in the power system. Therefore, the invention mainly adopts the cross-correlation function to carry out the correlation analysis. Cross correlation coefficient rhoxyCan be used to express the results of the correlation analysis:
wherein x (1) represents the current signal of the fault reference point, y (n) represents the current signal of the branch, and n represents the sampling sequence; and N is the signal data length.
The specific algorithm steps are as follows:
a. acquiring a current signal of one endpoint in the main section as a fault reference point;
b. acquiring a current signal of each branch in the main subsection as a current sampling point;
c. calculating a correlation coefficient according to the current sampling point and the fault reference point;
d. and sequencing the correlation coefficients to obtain the branch corresponding to the minimum correlation coefficient, namely the branch line where the fault feeder line is located.
The fault indicators of the two branches of the branch unit in the fault section are called according to the unit adjacency list, and the maximum branch current in the branch unit is compared (the maximum branch current value is similar to the main current value and greatly different from the current value before the fault by taking the current detected in the fault section as a reference value), so that a certain branch fault is positioned.
Step four: and verifying the effectiveness and feasibility of the power distribution network fault feeder line positioning method based on MATLAB software.
The Simulink in Matlab software is used for model building and fault simulation, and the line model is shown in FIG. 2.
The model is assumed to be a 10KV power distribution network line model, and the line type is RLC. The power voltage is 10KV, and the parameters of the circuit in unit length are as follows: positive sequence resistance 0.17 omega/km; zero sequence resistance is 0.23 omega/km; the positive sequence inductance is 1.21 Mh/km; a zero-sequence inductor 5.478 mH/km; a positive sequence capacitor 9.697 pF/km; and the zero sequence capacitor is 6 pF/km. The total length of the trunk line is 3103m, the distance between the first trunk measuring point and the second trunk measuring point is 2334m, and the distance between the second trunk measuring point and the third trunk measuring point is 769m, which respectively correspond to the trunk detecting points 1,2 and 3 in fig. 2. The branch line and load capacity are respectively: the load capacities of the 442m branch, the 153 m branch, the 286m branch, the 317m branch, the 116m branch, the 161m branch, the 243m branch, and the 190m branch were respectively 800KW, 400KW, 100KW, and 400KW, respectively, corresponding to the 4-11 branch detection points in fig. 2. A total of 3 trunk measurements and 8 branch measurements, i.e. 2 trunks and 8 branches.
Taking the AB interphase short circuit fault occurring at a position 150m away from the first main measurement point as an example, the fault positioning method provided by the invention is subjected to branch fault positioning verification.
The current waveform after the occurrence of the short-circuit fault between two phases of the branch is shown in fig. 3, which corresponds to monitoring points 1,2, 3, 4, 5, 6, 7 and 8 in fig. 2 from left to right and from top to bottom respectively. As can be seen from fig. 3, when a short-circuit fault occurs between two phases of a branch, the current value of the fault phase according to the present invention will increase, and the voltage of the non-fault phase will not change. Since the fault occurred at 150m on the 3 rd branch of the first trunk section and was a branch fault, a distinct fault signature was exhibited on the trunk line and the faulty branch line between the power supply point to the fault point. Therefore, the amplitude of the A-phase current and the amplitude of the B-phase current at the 1-detection point and the 6-detection point are both increased and far exceed the current amplitude during normal work, and meanwhile, the waveform change at the 1-detection point is most obvious, and the difference is obvious compared with the waveforms at other main detection points. And the current amplitudes of other trunk detection points and branch detection points except the detection point 1 and the detection point 6 do not exceed the current amplitudes of the other trunk detection points and the branch detection points in normal work. Compared with the waveform of the detection point 1, the waveforms of the other trunk detection points have obvious difference, but the waveforms of the other trunk detection points have small difference and high similarity.
In summary, it is known that: in the branch fault which occurs at 150m on the 3 rd branch of the first trunk section, the fault phase current amplitudes of the 1 detection point and the 6 detection point exceed the current amplitudes in normal operation, and the current amplitudes of other trunk detection points and branch detection points except the 1 detection point and the 6 detection point do not exceed the current amplitudes in normal operation; meanwhile, the waveform difference between the detection point 1 and the detection points of other trunks is large, and the similarity of the waveforms among the detection points of other trunks is large.
a) Network description matrix:
b) a fault information matrix:
c) fault section discrimination matrix:
performing XOR operation on elements in the fault discrimination matrix P to obtain P12＝p21When 1, the fault occurs in the section between feeder node 1 and node 2.
d) Fault branch discrimination matrix
The fault information of the fault indicators, i.e. detection points 4, 5, 6, 7, 8, on all branch lines on the branch unit of the trunk section between node 1 and node 2 is called out from the unit adjacency list.
The improved correlation analysis algorithm mentioned in fig. 3 and the present invention can be derived: when a fault occurs, because the detection point 3 is a contact switch, the correlation coefficient among the detection points 4, 5, 6, 7 and 8 is calculated by using an improved correlation analysis algorithm, and the correlation coefficient between the detection point 5 and the detection point 6 is the minimum through calculation, the fault occurs on a branch line where the detection point 5 is located or a branch line where the detection point 6 is located.
The fault information at detection points 5, 6 is retrieved from the cell adjacency list and the maximum branch currents in the two branch cells are compared. As can be seen from fig. 3, the current at detecting point 6 is the largest and does not differ much from the current at detecting point 1. The fault is on the branch line where the detection point 6 is located.
In conclusion, the overhead line power distribution network fault feeder line positioning technology utilizing the improved correlation coefficient algorithm is feasible and effective.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer programs may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
Finally, it should be noted that: the above examples are only for illustrating the technical solutions of the present invention and not for limiting the same, and although the present invention is described in detail with reference to the above examples, those of ordinary skill in the art should understand that: modifications and equivalents may be made to the embodiments of the invention without departing from the spirit and scope of the invention, which is to be covered by the claims.
Claims (9)
1. A fault feeder line positioning method for an overhead line power distribution network based on a correlation coefficient algorithm is characterized by comprising the following steps:
acquiring a main section where a fault feeder is located through a power distribution network matrix algorithm;
and processing the main section by a correlation analysis algorithm to obtain a branch line where the fault feeder line is located.
2. The overhead line power distribution network fault feeder line positioning method based on the correlation coefficient algorithm, as claimed in claim 1, wherein the power distribution network matrix algorithm comprises a network description matrix, a fault information matrix and a fault section discrimination matrix.
3. The overhead line power distribution network fault feeder positioning method based on the correlation coefficient algorithm as claimed in claim 2, wherein the network description matrix is:
D＝[dij]N×N，
wherein D represents a network description matrix, DijDescribing elements of the matrix for the network, wherein N is the number of switch nodes from a power switch to a tie switch;
the fault information matrix is:
G＝[gij]N×N
where G is a fault information matrix, GijIs an element of the fault information matrix;
the fault discrimination matrix is:
P＝D×G＝[pij]N×N，
where P is a fault discrimination matrix, PijAre elements of the fault discrimination matrix.
4. The method for positioning the fault feeder line of the overhead line power distribution network based on the correlation coefficient algorithm, according to claim 1, wherein the processing procedure of the correlation analysis algorithm comprises:
acquiring a current signal of one endpoint in the main section as a fault reference point;
acquiring a current signal of each branch in the main subsection as a current sampling point;
calculating a correlation coefficient according to the current sampling point and the fault reference point;
and sequencing the correlation coefficients to obtain the branch corresponding to the minimum correlation coefficient, namely the branch line where the fault feeder line is located.
5. The overhead line power distribution network fault feeder line positioning method based on the correlation coefficient algorithm is characterized in that the calculation method of the correlation analysis algorithm comprises the following steps:
where ρ isxyX (1) represents the current signal of the fault reference point, y (n) represents the current signal of the branch, and n represents the sampling sequence; and N is the signal data length.
6. The overhead line power distribution network fault feeder location method based on correlation coefficient algorithm of claim 1, wherein the fault feeder comprises a three-phase short circuit fault, a three-phase short circuit fault and a two-phase ground short circuit fault.
7. A system for locating a faulty feeder in an overhead line distribution network based on a correlation coefficient algorithm, the system comprising:
a first data acquisition module: the method comprises the steps of obtaining a main section where a fault feeder line is located through a power distribution network matrix algorithm;
a second data acquisition module: the method is used for processing the current signal of the branch line on the main section through a correlation analysis algorithm to obtain the branch line where the fault feeder line is located.
8. A system for locating a fault feeder line of an overhead line power distribution network based on a correlation coefficient algorithm is characterized by comprising a processor and a storage medium;
the storage medium is used for storing instructions;
the processor is configured to operate in accordance with the instructions to perform the steps of the method according to any one of claims 1 to 6.
9. Computer-readable storage medium, on which a computer program is stored which, when being executed by a processor, carries out the steps of the method according to any one of claims 1 to 6.
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| CN111896890B (en) * | 2020-08-06 | 2021-10-08 | 山东大学 | Micro-grid line fault diagnosis method and system based on Hilbert-Huang transform |
| CN111999605A (en) * | 2020-09-16 | 2020-11-27 | 珠海许继芝电网自动化有限公司 | Power distribution network fault tolerance judgment method and device based on fault correlation analysis |
| CN111999605B (en) * | 2020-09-16 | 2023-11-07 | 珠海许继芝电网自动化有限公司 | Power distribution network fault tolerance judging method and device based on fault correlation analysis |
| CN112415327A (en) * | 2020-10-22 | 2021-02-26 | 中国矿业大学 | Cable distribution network fault section identification method based on grounding wire current direction difference |
| CN113739730A (en) * | 2021-08-30 | 2021-12-03 | 西安交通大学 | Transient acoustic signal-based transformer winding deformation detection method and system |
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