CN113625113A - Power distribution network fault positioning method and system - Google Patents
Power distribution network fault positioning method and system Download PDFInfo
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- CN113625113A CN113625113A CN202110919576.8A CN202110919576A CN113625113A CN 113625113 A CN113625113 A CN 113625113A CN 202110919576 A CN202110919576 A CN 202110919576A CN 113625113 A CN113625113 A CN 113625113A
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- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/08—Locating faults in cables, transmission lines, or networks
- G01R31/081—Locating faults in cables, transmission lines, or networks according to type of conductors
- G01R31/085—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution lines, e.g. overhead
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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- Y04S—SYSTEMS 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
- Y04S10/00—Systems supporting electrical power generation, transmission or distribution
- Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
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Abstract
The invention relates to a power distribution network fault positioning method and system. The method comprises the following steps: constructing a node-section incidence matrix based on the connection relation between each feeder line section and each section switch of the power distribution network; in the current stage, obtaining a state approximation gain vector in the current stage according to the node-section incidence matrix and the fault information vector in the current stage, judging whether a gain larger than a set threshold exists in the state approximation gain vector in the current stage, if so, determining a feeder line section corresponding to the maximum gain as the fault section in the current stage, obtaining the fault information vector in the next stage according to the fault information vector in the current stage, and entering the next stage; and if the fault sections do not exist, determining the fault sections in all stages before the current stage as final fault positions. The invention can improve the positioning efficiency on the premise of ensuring the accuracy of fault positioning, and has stronger information fault tolerance to the error report of the terminal information.
Description
Technical Field
The invention relates to the technical field of fault location, in particular to a power distribution network fault location method and system.
Background
The fault location of the power distribution network is the basis of fault isolation and rapid power restoration, and plays an important role in improving the reliability of power supply of the power distribution network.
The direct positioning method identifies the fault by comparing similarities and differences of fault information reported by the power distribution terminals on two sides of the feeder line section, is simple and direct, has high positioning efficiency, but has poor accuracy, and can generate misjudgment when the reported information of the power distribution terminals is wrong or fails to be reported.
The essence of the indirect positioning method is to find out a group of optimal feeder section operation state combinations, so that the expected state of the corresponding distribution terminal is the highest in similarity with the actually acquired fault information, and the feeder section in the fault state under the feeder section operation state combination is determined as the fault section. The operating states of the feeder sections include normal and fault states, so that the number of feeder section operating state combinations is exponential to the total number of feeder sections in the distribution network, i.e. assuming the distribution network contains n feeder sections, the method requires from 2nThe optimal combination mode is found out in the combination of the operation states of the sections, the solving dimensionality of the exponential model seriously influences the fault locating efficiency of the power distribution network, and the problems are more and more obvious along with the increasing expansion of the scale of the power distribution network.
Disclosure of Invention
The invention aims to provide a power distribution network fault positioning method and system, which can improve positioning efficiency on the premise of ensuring fault positioning accuracy.
In order to achieve the purpose, the invention provides the following scheme:
a power distribution network fault positioning method comprises the following steps:
constructing a node-section incidence matrix based on the connection relation between each feeder line section and each section switch of the power distribution network; the node-section incidence matrix consists of switch vectors of all feeder sections; the switch vector represents the situation that current passes through each section switch from a power supply to the feeder line section;
in the current stage, obtaining a state approximation gain vector in the current stage according to the node-section incidence matrix and the fault information vector in the current stage; the fault information vector comprises overcurrent information of each section switch; the state approximation gain vector comprises the gain of each feeder section; the over-current information includes: an over-positive current, an over-negative current, and an over-current;
judging whether the gain larger than a set threshold exists in the state approximation gain vector at the current stage or not to obtain a judgment result;
if the judgment result is yes, determining the feeder line section corresponding to the maximum gain in the state approximation gain vector in the current stage as a fault section in the current stage, obtaining a fault information vector in the next stage according to the fault information vector in the current stage, and performing the next stage after the updating stage;
and if the judgment result is negative, determining the fault sections in all stages before the current stage as the feeder line section with the fault finally.
Optionally, the constructing a node-section association matrix based on the connection relationship between each feeder section and each section switch of the power distribution network specifically includes:
backtracking from the feeder line section to a source point, and determining the condition that the feeder line section to the source point passes through each section switch; the source point is a transformer substation feeder side outgoing switch;
and representing each feeder line section by a row, representing each section switch by a column, and constructing a node-section association matrix according to the condition that the feeder line section passes through each section switch from the source point to the source point.
Optionally, the obtaining a state approximation gain vector at the current stage according to the node-section correlation matrix and the fault information vector at the current stage specifically includes:
according to the formula G ═ PxITCalculating a state approximation gain vector in the current stage, wherein G represents the state approximation gain vector in the current stage, P represents a node-segment association matrix, and ITRepresenting the transpose of the fault information vector at the current stage.
Optionally, the obtaining of the fault information vector at the next stage according to the fault information vector at the current stage specifically includes:
according to the formula
Calculating fault information at next stageVector, wherein I' represents the fault information vector at the next stage, I represents the fault information vector at the current stage, P (I:) represents the switch vector of the fault section at the current stage in the node-section association matrix P, I represents the fault section at the current stage,
the expression "multiplication" represents multiplication of elements at the same positions in two vectors having the same dimension, and "logical not" operation.
A power distribution network fault location system, comprising:
the matrix construction module is used for constructing a node-section incidence matrix based on the connection relation between each feeder line section and each section switch of the power distribution network; the node-section incidence matrix consists of switch vectors of all feeder sections; the switch vector represents the situation that current passes through each section switch from a power supply to the feeder line section;
the gain vector updating module is used for obtaining a state approximation gain vector in the current stage according to the node-section incidence matrix and the fault information vector in the current stage; the fault information vector comprises overcurrent information of each section switch; the state approximation gain vector comprises the gain of each feeder section; the over-current information includes: an over-positive current, an over-negative current, and an over-current;
the judging module is used for judging whether the gain larger than the set threshold exists in the state approaching gain vector at the current stage or not to obtain a judging result;
a fault section judging module, configured to determine, if the judgment result is yes, the feeder section corresponding to the maximum gain in the state approaching gain vector at the current stage as a fault section at the current stage, obtain a fault information vector at a next stage according to the fault information vector at the current stage, and perform the next stage after the update stage;
and the final fault position determining module is used for determining fault sections in all stages before the current stage as the feeder line section which finally fails if the judgment result is negative.
Optionally, the matrix building module specifically includes:
the backtracking unit is used for backtracking from the feeder line section to a source point and determining the condition that the feeder line section to the source point passes through each section switch; the source point is a transformer substation feeder side outgoing switch;
and the matrix construction unit is used for representing each feeder line section by a row, representing each section switch by a column, and constructing a node-section incidence matrix according to the condition that the feeder line section to the source point passes through each section switch.
Optionally, the gain vector updating module includes:
a gain vector determination unit for determining a gain vector according to the formula G-PxITCalculating a state approximation gain vector in the current stage, wherein G represents the state approximation gain vector in the current stage, P represents a node-segment association matrix, and ITRepresenting the transpose of the fault information vector at the current stage.
Optionally, the fault section determining module includes:
an information vector updating unit for updating the information vector according to a formula
Calculating a fault information vector at the next stage, wherein I' represents the fault information vector at the next stage, I represents the fault information vector at the current stage, P (I:) represents a switch vector of the fault section at the current stage in the node-section association matrix P, I represents the fault section at the current stage,
the expression "multiplication" represents multiplication of elements at the same positions in two vectors having the same dimension, and "logical not" operation.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects: in the current stage, a state approximation gain vector in the current stage is obtained according to a node-section incidence matrix and a fault information vector in the current stage; judging whether the gain larger than a set threshold exists in the state approximation gain vector at the current stage, if so, determining a feeder line section corresponding to the maximum gain in the state approximation gain vector at the current stage as a fault section at the current stage, obtaining a fault information vector at the next stage according to the fault information vector at the current stage, and performing the next stage after the stage is updated; and if the fault sections do not exist, determining the fault sections in all stages before the current stage as the feeder line sections with the faults finally. The method positions the fault section by adopting a method of maximizing state approaching gain in stages, reduces the solving dimensionality of a fault positioning model from exponential to linear, improves the positioning efficiency on the premise of ensuring the fault judgment accuracy, and has stronger information fault tolerance on the error report of the terminal information.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without inventive exercise.
Fig. 1 is a flowchart of a power distribution network fault location method according to an embodiment of the present invention;
FIG. 2 is a diagram of the connection of a dual power supply open loop operation distribution network;
fig. 3 is a flowchart of processing the dual-power-supply open-loop-operation distribution network shown in fig. 2 by using the power distribution network fault location method provided by the embodiment of the invention;
FIG. 4 is a schematic diagram of a switch-segment correlation matrix of the dual power supply open loop operation distribution network provided in FIG. 2;
fig. 5 is a connection diagram of a 22 feeder section power distribution system according to an embodiment of the present invention;
FIG. 6 is a schematic diagram of a switch-segment correlation matrix of the 22 feeder segment power distribution system provided in FIG. 5;
fig. 7 is a block diagram of a power distribution network fault location system according to an embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in further detail below.
The embodiment provides a power distribution network fault positioning method, which mainly comprises the steps of constructing a node-section incidence matrix P, generating a fault information vector I, calculating a state approximation gain vector G, and judging as shown in fig. 1
And if so, judging that the section corresponding to the maxG (I) is a fault section, updating the fault information vector I, returning to the calculation state approximation gain vector G, and otherwise, outputting a fault judgment result. The specific steps are shown in fig. 2:
step 101: and constructing a node-section incidence matrix based on the connection relation between each feeder section and each section switch of the power distribution network. The node-section incidence matrix consists of switch vectors of all feeder sections; the switch vector represents the situation that current passes through each section switch from a power supply to the feeder line section; the cases include pass and not pass.
Step 102: and in the current stage, obtaining a state approximation gain vector in the current stage according to the node-section incidence matrix and the fault information vector in the current stage. The fault information vector comprises overcurrent information of each section switch; the state approximation gain vector comprises the gain of each feeder section; the over-current information includes: an over positive current, an over negative current, and an over current.
Step 103: and judging whether the gain larger than the set threshold exists in the state approaching gain vector at the current stage to obtain a judgment result.
Step 104: and if the judgment result is yes, determining the feeder line section corresponding to the maximum gain in the state approximation gain vector at the current stage as the fault section at the current stage, obtaining the fault information vector at the next stage according to the fault information vector at the current stage, and performing the next stage after the updating stage.
The obtaining of the fault information vector at the next stage according to the fault information vector at the current stage is specifically as follows: and obtaining the fault information vector of the next stage according to the node-section incidence matrix, the fault information vector of the current stage and the fault section.
Step 105: and if the judgment result is negative, determining the fault sections in all the stages before the current stage as the feeder line section with the fault finally, and finishing the fault judgment.
In practical application, step 101 specifically includes:
backtracking from the feeder line section to a source point, and determining the condition that the feeder line section to the source point passes through each section switch; the source point is a transformer substation feeder side outgoing switch.
And representing each feeder line section by a row, representing each section switch by a column, and constructing a node-section association matrix according to the condition that the feeder line section passes through each section switch from the source point to the source point.
In practical application, step 102 specifically includes:
according to the formula G ═ PxITCalculating a state approximation gain vector in the current stage, wherein G represents the state approximation gain vector in the current stage, P represents a node-segment association matrix, and ITRepresenting the transpose of the fault information vector at the current stage.
In practical application, the step 104 of obtaining the fault information vector at the next stage according to the fault information vector at the current stage specifically includes:
according to the formula
Calculating a fault information vector at the next stage, wherein I' represents the fault information vector at the next stage, I represents the fault information vector at the current stage, P (I:) represents a switch vector of the fault section at the current stage in the node-section association matrix P, I represents the fault section at the current stage,
representing multiplication operations, i.e. multiplication of elements in the same position in two vectors of the same dimension, -representing logical negation operations, e.g. matrices
In practical application, the fault information vector at the initial stage is obtained overcurrent information of each section switch.
In practical applications, the set threshold is 0.
In practical application, backtracking is carried out from the feeder line section to a source point, and the condition that the feeder line section to the source point passes through each section switch is determined; the source point is a transformer substation feeder side outgoing switch, and the source point specifically comprises:
starting from a source point, traversing a feeder line section by adopting a depth-first search mode, and determining an upper section of the feeder line section, taking the power distribution network shown in fig. 3 as an example, the upper section information of the feeder line section 3 is section 7, and the upper section information of the feeder line section 4 is section 1.
Based on the superior section, backtracking is carried out from the feeder section to the direction of the source point, and the section switch which is traveled from the section to the direction of the source point is determined.
In practical application, each feeder line segment is represented by a row, each section switch is represented by a column, and a node-segment association matrix is constructed according to the condition that the feeder line segment passes through each section switch from the source point to the source point, specifically comprising:
the first section switch of the feeder line section and the source point direction is set to be the same number, as shown in fig. 3, the feeder line section 3 has no number at first, and the first section switch of the feeder line section and the source point direction are set to be 3, and the first section switch of the feeder line section are traversed in the source point directionNumber is S3Thus, when the feeder sections are represented by rows and the section switches are represented by columns to establish the node-section association matrix P, a matrix can be established according to the numbers of the feeder sections and the numbers of the section switches. Subsequent calculations are more convenient than if the same numbers were not present. The method for establishing the node-section incidence matrix P comprises the following steps: and (3) representing a feeder line section by a row and representing a switch node by a column, if a distribution terminal in the value source point direction of the section i contains a section switch j, setting the element value of the jth row and jth column of the ith row of the P matrix to be 1, and otherwise, setting 0. Assuming that the distribution network contains m feeder sections, n switches, the dimension of the matrix P is m × n.
In practical application, the initial fault information vector determination method comprises the following steps: collecting fault signals reported by a power distribution terminal, and generating a fault information vector I; the generation rule of the fault information vector I is that the dimension of the fault information vector I is the number of network switches, when power distribution terminals (FTUs and DTUs) (which have the capacity of detecting fault current and current direction) and the like installed on switch nodes detect that positive direction short-circuit current is reported, the corresponding position element is set to be 1, and otherwise, the corresponding position element is set to be-1.
The embodiment also provides a scheme for processing the dual-power open-loop operation distribution network shown in fig. 3 by adopting the method, in fig. 3, the rectangular switch is a circuit breaker, the circular switch is a load switch, the solid state represents a section switch of the normally closed state of the switch, the hollow state represents a connection switch of the normally open state of the switch, and the network is provided with 2 circuit breakers (S)1、S6) 8 normally closed switches (S)2-S5、S7-S10) 2 tie switches, 2 main transformer power supplies, 10 feeder sections (1-10) and 3T-shaped coupling nodes.
The treatment method comprises the following specific steps: performing power supply association relationship analysis on the power distribution network shown in fig. 3 (taking an outgoing switch at the feeder side of the transformer substation as a source point, determining a power supply path of a sectional switch to a feeder section by adopting a forward traversal and backward backtracking method based on a network adjacency matrix (including the connection relationship of each feeder section, each sectional switch and each interconnection switch in the power distribution network) stored offline and a switch on-off state reported by a power distribution terminal node, and establishing a node-section association momentArray), the obtained node-section correlation matrix P is as shown in fig. 4, and a fault information vector I ═ 1-1-1-11-1-1-1-1-1 is generated]Taking the node-section incidence matrix P and the fault information vector I as input, calculating a state approximation gain vector in the first stage: g ═ 11-402-1-3-2-2-1]If the element is greater than 0, the segment 5 corresponding to the maximum value 2 among the elements is determined as a faulty segment, and the fault information vector is updated
Entering the next stage of fault judgment, taking the node-section correlation matrix P and the fault information vector updated in the previous stage as input, and calculating a state approximation gain vector G ═ 0-1-4-10-1-3-3-2 in the second stage]At this time, all elements in the state approximation gain vector G are less than or equal to 0, fault location is finished, a fault determination result is output, and the feeder line section 5 is determined to be a fault section.
The embodiment provides a scheme for processing the 22 feeder line section power distribution system shown in fig. 5 by applying the method, and details a fault location process of the method under various fault conditions such as single-point fault, multi-point fault, sound distribution terminal information, distortion distribution terminal information and the like. In fig. 5, the rectangular switch is a circuit breaker, the circular switch is a load switch, the solid represents a section switch of which the switch is in a normally closed state, and the hollow represents an interconnection switch of which the switch is in a normally open state. The network has 1 circuit breaker S1And 21 normally-closed switches (section switches) (S)2-S22) 5 interconnection switches (S)23-S27) 1 main transformer power supply, 22 feeder sections (1-22) and 9T-shaped coupling nodes.
The method comprises the following specific steps: the system provided by fig. 5 is analyzed for the power supply incidence relation of the switch-feeder section, and a node-section incidence matrix P shown in fig. 6 is obtained.
The first condition is as follows: feeder section 18 fails without information distortion.
Collecting fault signals reported by a power distribution terminal, and generating a fault information vector I as follows:
taking the node-section association matrix P and the fault information vector I as input, calculating a state approximation gain vector of the first stage: g [ 123210-1-2-3-4-5-610-1-2454-1-2-3 ], wherein the element in G is larger than 0, the section 18 corresponding to the maximum value 5 in the elements is determined as a fault section, and the fault information vector is updated
Entering the next stage of fault judgment, taking the node-section incidence matrix P and the fault information vector updated in the previous stage as input, and calculating the state approximation gain vector of the second stage
G＝[0 0 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -1 -2 -3 -4 0 0 -1 -4 -5 -6]
At this time, all elements in G are less than or equal to 0, fault location is finished, a fault determination result is output, and the feeder line section 18 is determined to be a fault section.
Case two: the feeder sections 9, 18 fail and there is no distortion of the information.
Collecting fault signals reported by a power distribution terminal, and generating a fault information vector: taking a node-section association matrix P and a fault information vector I as input, calculating a state approximation gain vector G of a first stage to be [ 12345678987610-1-2454543 ], wherein an element in G is larger than 0, judging a section 9 corresponding to a maximum value 9 in the elements as a fault section, and updating the fault information vector
Entering the next stage of fault judgment, taking the node-section incidence matrix P and the fault information vector updated in the previous stage as input, and calculating a state approximation gain vector when the 2 nd stage of fault judgment is performed: g ═ 00000-1-2-3-1-2-3-4121-1-2-3, where there is an element greater than 0, the sector 18 corresponding to the maximum value 2 among the elements is determined to be a faulty sector, the fault information vector is updated,
entering the next-stage fault judgment, taking the node-section correlation matrix P and the fault information vector updated in the previous stage as input, calculating a state approximation gain vector G ═ 000000000-1-2-3-1-2-3-400-1-1-2-3 when the 3 rd-stage fault judgment is performed, at this time, all elements in G are less than or equal to 0, ending fault location, outputting a fault judgment result, and judging feeder line sections 9 and 18 to be fault sections.
Case three: feeder sections 9, 18 fail, distribution terminal node 4 fails to report fault information, and node 22 reports fault information in error.
Collecting fault signals reported by the power distribution terminal to generate fault information vectors
I＝[1 1 1 -1 1 1 1 1 1 -1 -1 -1 -1 -1 -1 -1 1 1 -1 -1 -1 1]
Taking the node-section incidence matrix P and the fault information vector I as input, calculating a state approximation gain vector G of a first stage [ 12323456765410-1-2454323 ], wherein elements in G are more than 0, judging the section 9 corresponding to the maximum value 7 in the elements as a fault section, and updating the fault information vector
And entering the next stage of fault judgment. Taking the node-section correlation matrix P and the fault information vector updated in the previous stage as input, calculating a state approximation gain vector G in the second stage [ 000000000-1-2-3-1-2-3-4121-1-2-1 ], wherein an element existing in G is greater than 0, determining a section 18 corresponding to a maximum value 2 in the elements as a fault section, and updating the fault information vector:
entering the next stage of fault judgment, taking the node-section incidence matrix P and the fault information vector updated in the previous stage as input, and calculating the state approximation gain vector G of the third stage [ 000000000-1-2-3-1-2-3-400-1-1-2-1 ]
At this time, all elements in G are less than or equal to 0, fault location is finished, a fault determination result is output, and feeder line sections 9 and 18 are determined to be fault sections.
The embodiment also provides a method for replacing the location and node distortion of the fault section shown in fig. 5, and the process of processing the fault section and the node distortion by applying the fault location method provided by the above embodiment and the obtained results are shown in table 1.
TABLE 1
The embodiment also provides a power distribution network fault positioning system corresponding to the method, as shown in fig. 7, the system includes:
the matrix construction module A1 is used for constructing a node-section incidence matrix based on the connection relation between each feeder section and each section switch of the power distribution network; the node-section incidence matrix consists of switch vectors of all feeder sections; the switch vector represents the current passing through each segmented switch from the power source to the feeder section.
A gain vector updating module A2, configured to, at the current stage, obtain a state approximation gain vector at the current stage according to the node-segment association matrix and the fault information vector at the current stage; the fault information vector comprises overcurrent information of each section switch; the state approximation gain vector comprises the gain of each feeder section; the over-current information includes: an over positive current, an over negative current, and an over current.
The judging module a3 is configured to judge whether a gain greater than a set threshold exists in the state approximation gain vector at the current stage, and obtain a judgment result.
And a fault section determination module a4, configured to determine, if the determination result is yes, the feeder section corresponding to the largest gain in the state approaching gain vector at the current stage as the fault section at the current stage, obtain a fault information vector at the next stage according to the fault information vector at the current stage, and perform the next stage after the update stage.
And a final fault location determining module a5, configured to determine, if the determination result is negative, the faulty sections in all stages before the current stage as feeder sections that finally have faults.
As an optional implementation manner, the matrix building module specifically includes:
the backtracking unit is used for backtracking from the feeder line section to a source point and determining the condition that the feeder line section to the source point passes through each section switch; the source point is a transformer substation feeder side outgoing switch.
And the matrix construction unit is used for representing each feeder line section by a row, representing each section switch by a column, and constructing a node-section incidence matrix according to the condition that the feeder line section to the source point passes through each section switch.
As an optional implementation, the gain vector updating module includes:
a gain vector determination unit for determining a gain vector according to the formula G-PxITCalculating a state approximation gain vector in the current stage, wherein G represents the state approximation gain vector in the current stage, P represents a node-segment association matrix, and ITRepresenting the transpose of the fault information vector at the current stage.
As an optional implementation manner, the fault section determining module includes:
an information vector updating unit for updating the information vector according to a formula
Calculating a fault information vector at the next stage, wherein I' represents the fault information vector at the next stage, I represents the fault information vector at the current stage, P (I:) represents a switch vector of the fault section at the current stage in the node-section association matrix P, I represents the fault section at the current stage,
the method is characterized in that elements at the same position in two vectors with the same dimension are multiplied, namely, the elements at the same position in the two vectors with the same dimension are subjected to multiplication operation, and the multiplication operation is represented as logical negation operation.
The invention has the following technical effects:
the method positions the fault section by adopting a method of maximizing state approaching gain in stages, reduces the solving dimensionality of a fault positioning model from exponential to linear, improves the fault positioning efficiency to a greater extent, has stronger fault tolerance to the wrong and missed report of the terminal fault information, and improves the calculation efficiency on the premise of ensuring the accuracy.
The embodiments in the present description are described in a progressive manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments are referred to each other. For the system disclosed by the embodiment, the description is relatively simple because the system corresponds to the method disclosed by the embodiment, and the relevant points can be referred to the method part for description.
The principles and embodiments of the present invention have been described herein using specific examples, which are provided only to help understand the method and the core concept of the present invention; meanwhile, for a person skilled in the art, according to the idea of the present invention, the specific embodiments and the application range may be changed. In view of the above, the present disclosure should not be construed as limiting the invention.
Claims (8)
1. A power distribution network fault positioning method is characterized by comprising the following steps:
constructing a node-section incidence matrix based on the connection relation between each feeder line section and each section switch of the power distribution network; the node-section incidence matrix consists of switch vectors of all feeder sections; the switch vector represents the situation that current passes through each section switch from a power supply to the feeder line section;
in the current stage, obtaining a state approximation gain vector in the current stage according to the node-section incidence matrix and the fault information vector in the current stage; the fault information vector comprises overcurrent information of each section switch; the state approximation gain vector comprises the gain of each feeder section; the over-current information includes: an over-positive current, an over-negative current, and an over-current;
judging whether the gain larger than a set threshold exists in the state approximation gain vector at the current stage or not to obtain a judgment result;
if the judgment result is yes, determining the feeder line section corresponding to the maximum gain in the state approximation gain vector in the current stage as a fault section in the current stage, obtaining a fault information vector in the next stage according to the fault information vector in the current stage, and performing the next stage after the updating stage;
and if the judgment result is negative, determining the fault sections in all stages before the current stage as the feeder line section with the fault finally.
2. The method according to claim 1, wherein the constructing a node-section incidence matrix based on the connection relationship between each feeder section and each section switch of the distribution network specifically comprises:
backtracking from the feeder line section to a source point, and determining the condition that the feeder line section to the source point passes through each section switch; the source point is a transformer substation feeder side outgoing switch;
and representing each feeder line section by a row, representing each section switch by a column, and constructing a node-section association matrix according to the condition that the feeder line section passes through each section switch from the source point to the source point.
3. The method according to claim 1, wherein the obtaining of the state-approaching gain vector at the current stage according to the node-section correlation matrix and the fault information vector at the current stage specifically includes:
according to the formula G ═ PxITCalculating a state approximation gain vector in the current stage, wherein G represents the state approximation gain vector in the current stage, P represents a node-segment association matrix, and ITRepresenting the transpose of the fault information vector at the current stage.
4. The method according to claim 1, wherein the obtaining of the fault information vector at the next stage according to the fault information vector at the current stage is specifically:
according to the formula
Calculating a fault information vector at the next stage, wherein I' represents the fault information vector at the next stage, I represents the fault information vector at the current stage, P (I:) represents a switch vector of the fault section at the current stage in the node-section association matrix P, I represents the fault section at the current stage,
the expression "multiplication" represents multiplication of elements at the same positions in two vectors having the same dimension, and "logical not" operation.
5. A power distribution network fault location system, comprising:
the matrix construction module is used for constructing a node-section incidence matrix based on the connection relation between each feeder line section and each section switch of the power distribution network; the node-section incidence matrix consists of switch vectors of all feeder sections; the switch vector represents the situation that current passes through each section switch from a power supply to the feeder line section;
the gain vector updating module is used for obtaining a state approximation gain vector in the current stage according to the node-section incidence matrix and the fault information vector in the current stage; the fault information vector comprises overcurrent information of each section switch; the state approximation gain vector comprises the gain of each feeder section; the over-current information includes: an over-positive current, an over-negative current, and an over-current;
the judging module is used for judging whether the gain larger than the set threshold exists in the state approaching gain vector at the current stage or not to obtain a judging result;
a fault section judging module, configured to determine, if the judgment result is yes, the feeder section corresponding to the maximum gain in the state approaching gain vector at the current stage as a fault section at the current stage, obtain a fault information vector at a next stage according to the fault information vector at the current stage, and perform the next stage after the update stage;
and the final fault position determining module is used for determining fault sections in all stages before the current stage as the feeder line section which finally fails if the judgment result is negative.
6. The power distribution network fault location system of claim 5, wherein the matrix construction module specifically comprises:
the backtracking unit is used for backtracking from the feeder line section to a source point and determining the condition that the feeder line section to the source point passes through each section switch; the source point is a transformer substation feeder side outgoing switch;
and the matrix construction unit is used for representing each feeder line section by a row, representing each section switch by a column, and constructing a node-section incidence matrix according to the condition that the feeder line section to the source point passes through each section switch.
7. The system according to claim 5, wherein the gain vector updating module comprises:
a gain vector determination unit for determining a gain vector according to the formula G-PxITCalculating a state approximation gain vector in the current stage, wherein G represents the state approximation gain vector in the current stage, P represents a node-segment association matrix, and ITRepresenting the transpose of the fault information vector at the current stage.
8. The power distribution network fault location system of claim 5, wherein the fault section determination module comprises:
an information vector updating unit for updating the information vector according to a formula
Calculating a fault information vector at the next stage, wherein I' represents the fault information vector at the next stage, I represents the fault information vector at the current stage, P (I:) represents a switch vector of the fault section at the current stage in the node-section association matrix P, I represents the fault section at the current stage,
the expression "multiplication" represents multiplication of elements at the same positions in two vectors having the same dimension, and "logical not" operation.
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