CN106841927B - Fault Locating Method containing distributed power distribution network - Google Patents

Fault Locating Method containing distributed power distribution network Download PDF

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CN106841927B
CN106841927B CN201710160809.4A CN201710160809A CN106841927B CN 106841927 B CN106841927 B CN 106841927B CN 201710160809 A CN201710160809 A CN 201710160809A CN 106841927 B CN106841927 B CN 106841927B
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antibody
switch
distribution network
power distribution
feeder line
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CN106841927A (en
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万新强
赖勇
王洪寅
韩瑞
王秀茹
李华
戴超凡
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Suqian Power Supply Co Of State Grid Jiangsu Electric Power Co
State Grid Corp of China SGCC
State Grid Jiangsu Electric Power Co Ltd
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Suqian Power Supply Co Of State Grid Jiangsu Electric Power Co
State Grid Corp of China SGCC
State Grid Jiangsu Electric Power Co Ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08Locating faults in cables, transmission lines, or networks
    • G01R31/081Locating faults in cables, transmission lines, or networks according to type of conductors
    • G01R31/086Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08Locating faults in cables, transmission lines, or networks
    • G01R31/088Aspects of digital computing

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Theoretical Computer Science (AREA)
  • Medicines Containing Antibodies Or Antigens For Use As Internal Diagnostic Agents (AREA)
  • Remote Monitoring And Control Of Power-Distribution Networks (AREA)

Abstract

The invention discloses the Fault Locating Methods containing distributed power distribution network.This method utilizes the fault current information of the upload of FTU, while carrying out antibody coding to the network topology structure of distributed generation system, finds faulty line in solution space using immune algorithm, its solution is enable to best explain the fault-current signal from FTU.The expectation breeding degree of antibody is the foundation of evaluation solution performance, while can most explain the FTU information of all uploads, that is, finds out information that an antibody uploads the FTU corresponding to it and practical upload information deviation is minimum, accurate fast failure positioning of the realization to power distribution network.The shortcomings that the present invention overcomes classical matrix algorithm and genetic algorithms, is with a wide range of applications in the power distribution network containing distributed generation resource.

Description

Fault Locating Method containing distributed power distribution network
Technical field
Fault Locating Method of the present invention containing distributed power distribution network belongs to Power System Faults Detection technical field, special It is not a kind of suitable for the fault location new method containing distributed power distribution network.
Background technique
With the continuous access of distributed generation resource, conventional electrical distribution net topology structure becomes complicated from single supply radial networks Power network, currently, based on FTU (Feeder Terminal Unit, Feeder Terminal Unit) acquisition fault current letter Breath carries out distribution network failure positioning, and main method is matrix algorithm, genetic algorithm.Matrix algorithm requires the accurate of fault message Property is very high, and fault-tolerance is poor, it is made to be difficult to be used widely.Though and genetic algorithm has sufficient research, asks in many optimizations Have successful application in topic, but itself is there is also some shortcomings, for example, local search ability it is poor, there are immature oils and Phenomena such as random roam, can be poor so as to cause convergence, take a long time just find optimal solution.
Summary of the invention
It is an object of the invention to provide a kind of fault location containing distributed power distribution network in view of the above shortcomings Method, the shortcomings that overcoming classical matrix algorithm and genetic algorithm, can carry out the distribution containing distributed generation resource quickly, effectively Fault location.
The present invention adopts the following technical solutions to achieve:
Fault Locating Method containing distributed power distribution network, comprising the following steps:
(1) fault current is encoded;
(2) Immune System is copied, carries out initial antibodies coding for topological structure of electric;
(3) switch function is constructed, antigen is calculated;
(4) matching degree between calculating antibody and antigen;
(5) affinity and antibody concentration between calculating antibody and antibody;
(6) according to the expectation reproductive probability of affinity and antibody concentration calculating antibody between antibody;
(7) it is evolved according to the expectation reproductive probability of antibody and generates new antibody, circulation step (3)-(7);
(8) according to convergence criterion, optimal antibody is exported, decodes and determines faulty line.
Further, detailed process is as follows for step (1):
To each switch, the nearest power supply of the set distance switch is its upstream power supply, and other power supplys are downstream Power supply sets the positive direction from the upstream power supply of the switch to downstream power supply as the switch, detects when Feeder Terminal Unit Failure overcurrent direction is identical as the positive direction of switch, then the state value switched sets 1, if failure overcurrent direction and switch positive direction On the contrary, the state value then switched sets -1, if failure overcurrent is not detected in Feeder Terminal Unit, the state value switched sets 0, from And completion status encodes.
Further, detailed process is as follows for step (2):
Using immune algorithm carry out fault location when, antibody be power distribution network in all feeder line sections shape it is morphogenetic to Amount, antibody are made of gene, and every gene pairs answers the state of a certain feeder line section, and gene sets the corresponding feeder line section hair of 1 expression Raw failure, gene set the corresponding feeder line section fault of 0 expression and do not break down.
Further, detailed process is as follows for step (3):
For each switch, definition switch its upstream power supply between route be the switch upstream line, switch with The route between power supply is the line downstream of the switch downstream, then constructs switch function:
In above formula,It isj The switch function of a block switch,For single antibody;It isjA point The in section switch upstream lineuThe state of a feeder line section, malfunction set 1, and normal condition sets 0;It isjA block switch In line downstreamuThe state of a feeder line section, malfunction set 1, and normal condition sets 0;Indicate thejA block switch The state logic or operation of each feeder line section of upstream line,M 1It isjThe number of a block switch upstream line feeder line section;Indicate thejThe state logic or operation of a each feeder line section of block switch line downstream;It isjA segmentation is opened Close the number of line downstream feeder line section;Indicate theiWhether a distributed generation resource is incorporated into the power networks, when being incorporated into the power networks,1, when not being incorporated into the power networks is set,0 is set,NFor the number of distributed generation resource.
Further, detailed process is as follows for step (4):
Evaluation function is constructed first:
In above formula,For evaluation function corresponding to antibody each in antibody population;Indicate antibody Each gene;N 1For the sum switched in power distribution network;N 2For the sum of feeder line section in power distribution network;I j It is obtained for step (1) The state encoding respectively switched;
Then the matching degree between calculating antibody and antigen:
In above formula,Indicate the matching degree between antibody and antigen.
Further, detailed process is as follows for step (5):
Affinity between calculating antibody and antibody:
In above formula,It is antibodyvAnd antibodysIn be in identical gene location and the identical digit of gene;LFor antibody Length;
Calculating antibody concentration, i.e., ratio shared by similar antibodies in antibody population:
In above formula,C v It is antibody concentration,,eFor antibody affinity evaluation parameter,MFor Antibody sum.
Further, detailed process is as follows for step (6):
The expectation reproductive probability of calculating antibody:
In above formula,P v For the expectation reproductive probability of antibody,Indicate the affinity summation of all antibody,It indicates The antibody concentration summation of all antibody,For weight,
Further, in step (8), the convergence criterion be the maximum antibody of desired reproductive probability during evolution Keeping algebra is more than that set value and immune algorithm are no longer evolved.
Further, the reservation threshold value of antibody is set, setting data base was being evolved using excellent individual retention strategy Cheng Zhong, it would be desirable to which the antibody that reproductive probability is greater than reservation threshold value remains into data base.
By adopting the above technical scheme bring the utility model has the advantages that
The Fault Locating Method that the present invention designs is based on immune algorithm, generates and maintain machine using the diversity of immune system The diversity to keep group is made, the premature convergence problem of general searching process is overcome, finally acquires globally optimal solution, overcome biography The various disadvantages of Fault Locating Method of the system based on matrix algorithm or genetic algorithm, it is fixed to the accurate fast failure of power distribution network to realize Position.
Detailed description of the invention
Fig. 1 is flow chart of the invention.
Fig. 2 is the simplification figure of the power distribution network containing DG of embodiment.
Specific embodiment
Below with reference to attached drawing, technical solution of the present invention is described in detail.
Fault Locating Method containing distributed power distribution network, as shown in Figure 1, comprising the following steps:
Step 1: fault current is encoded.
To each on-pole switch, it is its upstream power supply that predetermined distance, which switchs nearest power supply, first, and other power supplys are Power supply downstream.Stipulated that being the positive direction switched from its upstream power supply to downstream power supply.When the failure overcurrent side that FTU is detected To consistent, the switch state value with the positive direction of hypothesis switchI j =1.If overcurrent direction and the positive direction of hypothesis on the contrary, ifI j =-1.If FTU does not monitor overcurrent,I j =0。
Distribution net work structure figure as shown in Figure 2, for switch S1, S2 and S3, upstream power supply is electric network source, electric downstream Source is DG1 and DG2.Equally, for switch S4, S5 and S6, upstream power supply is DG1, and downstream power supply is electric network source and DG2. For switch S7, S8 and S9, upstream power supply is DG2, and downstream power supply is electric network source and DG1.
By taking S4 as an example, for S4, its positive direction is from its upstream power supply DG1 to downstream power supply electric network source and DG2.Work as K1 Place occur short trouble, the fault current for flowing through S4 provided by distributed generation resource DG1 and the direction of fault current and assume Positive direction is consistent, therefore the malfunction of S4 is ' 1 '.Break down at K2, flow through the fault current of S4 by electric network source and Distributed generation resource DG2 provide and the direction of fault current and the positive direction of hypothesis on the contrary, so when S4 malfunction be ‘-1'.The state value of other switches determines that method is similar with S4.
Step 2: copying Immune System, carry out initial antibodies coding for topological structure of electric.
In distribution network failure positioning, feeder line sector status is amount to be asked, when carrying out fault location using immune algorithm, gene The state of corresponding single feeder line section, antibody are made of gene, i.e., the morphogenetic vector of shape of all feeder line sections in power distribution network. Binary coded form is used herein, and the length of antibody is determined that each gene pairs of antibody answers feeder line area by feeder line sector number The state of section, 1 indicates the feeder line section fault, and 0 indicates no failure.For example, when K1 breaks down in Fig. 2, at this time anti- Body is encoded to [0 01000 0].
Step 3: construction switch function calculates antigen.
For some switch, the route between definition switch and upstream power supply is the upstream line of the switch.Similarly, Route is the switch and the feeder line between power supply downstream downstream.Different from traditional single supply radiativity power supply system, In distributed generation system, there is relationship by the electric current of switch and each power supply.Therefore, one is defined herein newly Switching function, as the formula:
(1)
In above formula,It isj The switch function of a block switch.It isjThe state of number switch upstream feeder lineS jd It isjThe state of number switch downstream feeder line.When line failure value be 1, normal operating value 0.It is switchjIt is upper Swim line fault conditions logic or operation.It is switchjDownstream line malfunction logic or operation. Indicate whether distributed generation resource (DG) is incorporated into the power networks.When DG is incorporated into the power networks, state code is ' 1 ', if not provided, code is ‘0'.When there is no DG to be incorporated in distribution network system, at this timeWith traditional single supply radiativity The switch function of distribution network system is the same.Therefore, new switch function can adapt to the change of network topology structure.
Step 4: the matching degree between calculating antibody and antigen.
The key that antibody and antigen affinity calculate is that the construction of evaluation function, evaluation function are based upon feeder line area The state and the practical electric current uploaded of FTU for the feeder switch that section state determines get over the difference minimum of limit information to construct.This It is as the formula (2) to invent the evaluation function used:
(2)
In above formula,F it (S B ) it is fitness function corresponding to each antibody in antibody population, i.e., evaluation function is to feasible solution Evaluation of estimate;S B For single antibody, i.e., the solution vector of all feeder line sector status compositions,S B (i) indicate antibody each base Cause corresponds to the state of each feeder line in power distribution network, and value is 1 expression malfunction, and value is 0 expression normal condition;N 1For with The sum switched in power grid;N 2For the sum of feeder line section in power distribution network;I j For the malfunction coding of feeder line in power distribution network;Then switch function is determined by formula (1).For example there are feeder line section a and feeder line section b in the downstream switch S1, thenAs long as it is 1 that the state of feeder line section a, b, which have one,It is 1.
Matching degree between antibody and antigen is as the formula (3):
(3)
In above formula,Indicate the evaluation function of minimum optimization problem;A v For indicating between antibody and antigen Matching degree reflects the excellent of the feasible solution generated in initial solution or iterative process,A v Bigger, the feasible solution is better,A v More Small, the feasible solution is poorer.
Step 5: affinity and antibody concentration between calculating antibody and antibody.
Affinity between antibody and antibody reflects the similarity degree between feasible solution and feasible solution.It uses hereinRPosition Affinity between Continuous plus antibody and antibody.Two kinds of antibody have more thanRPosition is continuousRPosition coding is identical, then it represents that two Kind antibody is approximate " identical ", otherwise indicates two kinds of antibody differences, it may be assumed that
(4)
In above formula,k v,s It is antibodyvAnd antibodysIn be in identical gene location and the identical digit of gene;LFor antibody Length.Bigger, then two antibody are more similar;Conversely, more dissimilar.
Antibody concentrationC v Ratio shared by similar antibodies i.e. in antibody population has reacted the diversity of antibody population, calculates public Formula:
(5)
(6)
In above formula,eFor antibody similarity evaluation parameter;H v,s Indicate whether two antibody are similar, is to take 1, it is no, take 0;M For antibody sum.
Step 6: according to the expectation reproductive probability of affinity and antibody concentration calculating antibody between antibody.
In antibody population, the expectation reproductive probability of each antibody is by the affinity and antibody concentration two between antibody and antigen Part codetermines, this is the main distinction with genetic algorithm, it may be assumed that
(7)
In above formula,Indicate the affinity summation of all antibody,Indicate the antibody concentration summation of all antibody,For weight, preferred value 0.95.
Step 7: being evolved according to the expectation reproductive probability of antibody and generate new antibody, circulation step 3-7.
By formula (7) as it can be seen that antibody and antigen affinityA v It is bigger, then it is expected breeding potentialP v It is bigger, be selected as intersect, A possibility that variation individual, is bigger;Antibody concentrationC v It is bigger, then it is expected breeding potentialP v It is smaller, it is selected as intersection, variation individual A possibility that it is smaller.The antibody high with antigen affinity had both been promoted in this way, while having also inhibited highly concentrated antibody, thus really The diversity of antibody is protected.
Immune algorithm when inhibiting high concentration antibody, with the higher antibody of antigen affinity may it is high because of its concentration and It is suppressed, is lost so as to cause the optimal solution acquired, therefore use excellent individual retention strategy, increase data base, every When secondary update data base, it would be desirable to which the higher several body of reproductive probability value is stored in data base.The creation of data base is also kept away simultaneously Intersection is exempted from, the generation that mutation process makes group degenerate.
Step 8: according to convergence criterion, exporting optimal antibody, decode and determine faulty line.
The criterion that algorithm terminates is the minimum holding algebra of optimum individual in antibody population, i.e. corresponding expectation during evolution When the maximum individual of breeding degree keeps algebra no longer to evolve more than set value and immune algorithm during evolution, determine to calculate Method convergence.According to the antibody coding principle of step 2, in optimal antibody, corresponding line is encoded to 1 as faulty line.Example Such as, the optimal antibody that algorithm finally determines is [0 00010 0...], then can be determined that No. 5 line failures.It is this Criterion takes full advantage of the knowledge accumulation of immune algorithm during evolution, is suitable for the different power distribution network of complexity, improves Convergence efficiency.
Embodiment is merely illustrative of the invention's technical idea, and this does not limit the scope of protection of the present invention, it is all according to Technical idea proposed by the present invention, any changes made on the basis of the technical scheme are fallen within the scope of the present invention.

Claims (6)

1. a kind of Fault Locating Method containing distributed power distribution network, which comprises the following steps:
(1) fault current is encoded;
(2) Immune System is copied, carries out initial antibodies coding for topological structure of electric;
(3) switch function is constructed, antigen is calculated;
(4) matching degree between calculating antibody and antigen;
(5) affinity and antibody concentration between calculating antibody and antibody;
(6) according to the expectation reproductive probability of affinity and antibody concentration calculating antibody between antibody;
(7) it is evolved according to the expectation reproductive probability of antibody and generates new antibody, circulation step (3)-(7);
(8) according to convergence criterion, optimal antibody is exported, decodes and determines faulty line;
Detailed process is as follows for step (1):
To each switch, it is specified that the power supply nearest apart from the switch is its upstream power supply, and other power supplys are power supply downstream, Stipulated that being the positive direction of the switch from its upstream power supply to downstream power supply, when the failure overcurrent side that Feeder Terminal Unit detects To identical as the positive direction of switch, then the state value switched sets 1, if failure overcurrent direction with switch positive direction on the contrary, if open The state value of pass sets -1, if failure overcurrent is not detected in Feeder Terminal Unit, the state value switched sets 0, to complete shape State coding;
Detailed process is as follows for step (2):
When carrying out fault location using immune algorithm, antibody is the morphogenetic vector of shape of all feeder line sections in power distribution network, is resisted Body is made of gene, and every gene pairs answers the state of a certain feeder line section, and gene sets the corresponding feeder line section of 1 expression and event occurs Barrier, gene set the corresponding feeder line section fault of 0 expression and do not break down;
Detailed process is as follows for step (3):
Each is switched, is defined under the upstream line, switch and its that the route between switch and its upstream power supply is the switch The line downstream that the route between power supply is the switch is swum, switch function is then constructed:
In above formula,It isj The switch function of a block switch,For single antibody;It isjA segmentation In switch upstream lineuThe state of a feeder line section, malfunction set 1, and normal condition sets 0;It isjUnder a block switch It swims the in lineuThe state of a feeder line section, malfunction set 1, and normal condition sets 0;Indicate thejOn a block switch The state logic or operation of each feeder line section of line are swum,M 1It isjThe number of a block switch upstream line feeder line section;Indicate thejThe state logic or operation of a each feeder line section of block switch line downstream;M 2It isjA block switch The number of line downstream feeder line section;Indicate theiWhether a distributed generation resource is incorporated into the power networks, when being incorporated into the power networks, 1, when not being incorporated into the power networks is set,0 is set,NFor the number of distributed generation resource.
2. according to claim 1 containing the Fault Locating Method of distributed power distribution network, which is characterized in that step (4) Detailed process is as follows:
Evaluation function is constructed first,
In above formula,For evaluation function corresponding to antibody each in antibody population;Indicate antibodyIt is each Position gene;N 1For the sum switched in power distribution network;N 2For the sum of feeder line section in power distribution network;I j It is respectively opened for what step (1) obtained The state encoding of pass;
Then the matching degree between calculating antibody and antigen,
In above formula,Indicate the matching degree between antibody and antigen.
3. according to claim 2 containing the Fault Locating Method of distributed power distribution network, which is characterized in that step (5) Detailed process is as follows:
Affinity between calculating antibody and antibody,
In above formula,It is antibodyvAnd antibodysIn be in identical gene location and the identical digit of gene;LFor the length of antibody Degree;
Calculating antibody concentration, i.e., ratio shared by similar antibodies in antibody population,
In above formula,C v It is antibody concentration,,eFor antibody affinity evaluation parameter,MIt is total for antibody Number.
4. according to claim 3 containing the Fault Locating Method of distributed power distribution network, which is characterized in that step (6) Detailed process is as follows:
The expectation reproductive probability of calculating antibody, calculation formula are
In above formula,P v For the expectation reproductive probability of antibody,Indicate the affinity summation of all antibody,Indicate all The antibody concentration summation of antibody,For weight,
5. according to claim 1 containing the Fault Locating Method of distributed power distribution network described in any one of -4, feature exists In: in step (8), it is more than institute that the convergence criterion keeps algebra for the expectation maximum antibody of reproductive probability during evolution The value and immune algorithm of setting are no longer evolved.
6. according to claim 1 containing the Fault Locating Method of distributed power distribution network described in any one of -4, feature exists In: the reservation threshold value of antibody is set, data base is set, using excellent individual retention strategy, during evolution, it would be desirable to breed The antibody that probability is greater than reservation threshold value remains into data base.
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