CN108387820A - Fault Section Location of Distribution Network containing distributed generation resource - Google Patents
Fault Section Location of Distribution Network containing distributed generation resource Download PDFInfo
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- CN108387820A CN108387820A CN201810230175.XA CN201810230175A CN108387820A CN 108387820 A CN108387820 A CN 108387820A CN 201810230175 A CN201810230175 A CN 201810230175A CN 108387820 A CN108387820 A CN 108387820A
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- G—PHYSICS
- 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
- G01R31/086—Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors
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- G—PHYSICS
- 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
- G01R31/088—Aspects of digital computing
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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
- Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
- 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
- Y04S10/52—Outage or fault management, e.g. fault detection or location
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Abstract
A kind of Fault Section Location of Distribution Network containing distributed generation resource, belongs to electric power network technique field.The Fault Section Location of Distribution Network containing distributed generation resource that the purpose of the present invention is positioned to the distribution network failure containing distributed generation resource using the cuckoo searching algorithm of adaptive step.Step of the present invention includes：Establish distribution network failure positioning mathematical model, the function contacted between circuit current operating conditions and panel switches state can be reflected by establishing one, in order to reflect physical fault and assume the error between failure, establish evaluation function, introduce cuckoo searching algorithm, the adjustment that adaptive step is carried out to cuckoo searching algorithm carries out simulating, verifying to algorithm proposed in this paper by classical example, and is compared with the result of other algorithms.The present invention is by establishing improved switch function and evaluation function model, it is proposed that one kind being based on cuckoo searching algorithm fault location new method.Simultaneously for the deficiency that cuckoo algorithm late convergence is slow, solving precision is low, the Improving ways of adaptive step are introduced, the search speed of cuckoo searching algorithm is accelerated, improves convergence precision.
Description
Technical field
The invention belongs to electric power network technique fields, more particularly to low and medium voltage distribution network fault location technology.
Background technology
As all kinds of distributed generation resources largely access power distribution network so that traditional radial networks become containing middle-size and small-size electricity
The power network in source, the failure that many fault location algorithms suitable for single supply power distribution network cannot meet new distribution net are fixed
Position requires, this brings certain challenge to the fault location of power distribution network.
Currently, the electrical power distribution network fault location method based on ca bin (Feeder Terminal Unit, FTU) can
It is divided into two major classes, direct method and intelligent algorithm.Direct method is generally referred to as matrix algorithm, the algorithm simple, intuitive, calculates
Speed is fast, but fault-tolerance is poor, and since FTU is mounted on the more severe open air of natural environment more, the information of upload, which is easy to happen, loses
It loses or distorts, so the practical application effect of the algorithm is unsatisfactory.Intelligent algorithm is to position distribution network failure section
Problem is converted into Zero-one integer programming problem, by establishing the mathematic optimal model of distribution network failure positioning, utilizes radix-2 algorithm
Seek optimal solution, such as genetic algorithm, particle cluster algorithm, ant group algorithm in discrete domain, the advantages of these algorithms is fault-tolerance
It is good, but increasing with distributed generation resource access, all there is convergence rate in the gradual complexity of distribution net work structure, these algorithms
The not high problem of relatively low, accuracy rate needs to carry out algorithm further perfect.
Invention content
The purpose of the present invention is the cuckoo searching algorithms using adaptive step to the power distribution network event containing distributed generation resource
Hinder the Fault Section Location of Distribution Network containing distributed generation resource positioned.
Step of the present invention includes：
S1：Establish distribution network failure positioning mathematical model, by distribution network failure deciding field problem be described as one have 0-1 from
Dissipate the optimization problem under constraints；
S2：The function contacted between circuit current operating conditions and panel switches state can be reflected by establishing one, be realized from opening
Close conversion of the out-of-limit situation of fault current to line fault conditions；
S3：In order to reflect physical fault and assume the error between failure, establish evaluation function, functional value is smaller, indicates error
Smaller, obtained fault section is more accurate；
S4：Cuckoo searching algorithm (CS) is introduced, and illustrates the algorithm principle；
S5：The adjustment that adaptive step is carried out to cuckoo searching algorithm improves the ability of searching optimum of the algorithm and solves essence
Degree；
S6：Simulating, verifying is carried out to algorithm proposed in this paper by classical example, and is compared with the result of other algorithms.
Step S1 of the present invention includes：
Distribution network failure deciding field problem is can be substantially described as one with the optimization under the conditions of 0-1 discrete constraints
Problem, mathematical model are：
In formula：F (X) is required object function；N is the dimension of parametric variable, indicates Candidate Fault interval number；X (i) is i-th
The value of variable is tieed up, indicates the malfunction of i-th of railroad section, is 1 when failure, is otherwise 0；X be track section state to
Amount.
Step S2 of the present invention includes：
In the power distribution network containing multiple distributed generation resources, traditional binary malfunction coding mode is no longer applicable in；To solve this
A problem assumes first that it is feeder line positive direction to flow to the direction of user terminal by system power supply, while introducing ternary coding form, advises
Determine fault current IjFor：
Current direction caused by order to adapt to switching of the distributed generation resource in Complicated Distribution Network changes, and what is proposed in the literature opens
It closes and is improved on functional foundations, introduce switching coefficient KDGiTo indicate the switching of power supply；Switch function as defined hereinAs follows：
In formula,The switch function switched for j-th, have 1 respectively, 0, -1 three kind of state；J-th of switch is defined to upstream electricity
On the contrary circuit between source is lines upstream, then be downstream line；SjuFor the failure shape of u sections of circuits in switch j lines upstreams
State；SjdFor the malfunction of d sections of circuits in switch j downstream lines；M1For the lines upstream set of switch j；M2For switch j's
Downstream line set；KDGiThe access situation for indicating DG, i.e., if when having DG accesses in power distribution network, value is " 1 "；Without DG
Value is " 0 " when access；N is the set of distributed generation resource；" Π " is logic or operation.
Step S3 of the present invention includes：
Evaluation function is for reflecting physical fault and assuming the error between failure, and error is smaller, the faulty section illustrated
Section is more accurate；According to " minimal set " concept famous in Troubleshooting Theory, i.e.,：Event is chosen in possible fault diagnosis result
The solution for hindering number of devices minimum constructs following function：
In formula:M is measuring control point quantity；IjFor the practical state value uploaded of measuring control point；For each measuring point expectation state value；N is area
Hop count；SiFor the state value of section i；ω is weight coefficient, and value must be between [0,1], and value is too small cannot to be fully demonstrated " most
The meaning of few faulty equipment number ", and value is excessive may cause to judge by accident.
Step S4 of the present invention includes：
The it is proposed of cuckoo searching algorithm is based primarily upon cuckoo parasitism nestling behavior and Levy flights mechanism the two plans
Slightly；Cuckoo finds a best bird's nest to hatch the bird egg of oneself by way of random walk in nature, in order to
Simulate cuckoo modes of reproduction, it is assumed that following 3 perfect conditions：
(1) each cuckoo next egg every time, and put it into randomly selected nest；
(2) the best nest with high-quality egg can be brought to the next generation；
(3) available parasitic nest quantity is fixed, and host has found the egg that cuckoo is put with probability P a ∈ (0,1), this
In the case of, host, which can eliminate the egg or abandon old nest, separately builds new nest；
On the basis of these three perfect conditions, cuckoo seek nest path and location update formula it is as follows：
In formula,WithIndicate i-th of bird's nest in the bird's nest position in t generations and t+1 generations respectively；For point-to-point product；Indicate that step size controlling amount, value obey standardized normal distribution；L (λ) is Levy random searches path, and
(1 λ≤3 ＜)；After location updating, compared with random number r ∈ [0,1] and Pa, if r>Pa is then rightChanged at random
Become, on the contrary it is constant；Finally retain one group of best bird's nest position of fitness value
Step S5 of the present invention includes：
In basic cuckoo algorithm, since Levy flights are the process of a random walk, the smaller short distance of step-length
Flight and the larger long-distance flight of step-length alternate；In entire search process, big step-length is conducive to expand search range,
It is not easy to be absorbed in local optimum, but also reduces required precision；Small step length is conducive to improve the quality of solution, but search speed becomes
Slowly；In order to solve the contradiction between large and small step-length, enables the adaptively dynamic adjusting step intervals Levy flights, make complete
Office's search capability can meet the requirements with solving precision, introduce apart from factor Li：
In formula：xiIndicate the position of i-th of bird's nest；xbestIndicate best bird's nest position；LmaxIndicate current optimum position and its
The maximum value of remaining all bird's nest positional distances；Adaptive adjusting step strategy is introduced based on formula (2)：
stepi=stepmin+(stepmax-stepmin)Li (7)
In formula：stepmaxAnd stepminRespectively represent the maximum value and minimum value of step-length；
When the position of i-th of bird's nest is closer with best bird's nest positional distance, then | | xi-xbest| | it is smaller, required by above formula
Li values are smaller, obtain stepiAlso smaller；When the position of bird's nest is gradually approached to best bird's nest position, with small step-length stepiIt can
To allow the position of bird's nest preferably to be unlikely to skip optimal solution because step-length is too big close to best bird's nest position, to improve
The quality of solution；Equally, when the best bird's nest position of bird's nest positional distance farther out when, step can be obtained by formulaiIt is larger, with big step-length into
Search speed can be greatly improved when row search；By analysis, the above method can realize adaptive dynamic adjusting step, excellent
Change the search speed and solving precision of entire algorithm.
The present invention preferably resolves the deficiencies of late convergence is slow by being improved to cuckoo searching algorithm,
Contrast verification is carried out by Simulation Example and with other kinds algorithm, it was demonstrated that the algorithm has apparent superiority.The present invention
By establishing improved switch function and evaluation function model, it is proposed that one kind being based on cuckoo searching algorithm (cuckoo
Search, CS) fault location new method.Simultaneously for the deficiency that cuckoo algorithm late convergence is slow, solving precision is low, draw
The Improving ways for entering adaptive step accelerate the search speed of cuckoo searching algorithm, improve convergence precision.Pass through typical case
Simulation example show fault location requirement when this method disclosure satisfy that multiple distributed generation resources access power distribution network, and consume
When it is shorter, fault-tolerant ability is stronger.
Description of the drawings
Fig. 1 is a kind of power distribution network event containing distributed generation resource based on cuckoo searching algorithm provided in an embodiment of the present invention
Hinder the schematic diagram of one embodiment of Section Location；
Fig. 2 is flow chart of the cuckoo searching algorithm in distribution network failure positioning；
Fig. 3 is a kind of distribution network failure area containing distributed generation resource based on cuckoo searching algorithm provided in an embodiment of the present invention
Distribution net work structure figure in one embodiment of section localization method.
Specific implementation mode
The present invention proposes a kind of method of the cuckoo searching algorithm distribution network failure positioning based on adaptive step.Cloth
Paddy bird searching algorithm (cuckoo search, CS) is to be sought nest oviposition behavior by cuckoo by Cambridge University professor YANG is equal
Inspire the novel heuristic bionical swarm intelligence algorithm of one kind proposed.The algorithm have theoretical clear, parameter is few, easy extension, the overall situation
Search capability is strong, the advantages that being easily achieved, and has been widely applied at present in the solution of various engineering optimizations.The present invention is logical
Cross and cuckoo searching algorithm be improved, preferably resolve the deficiencies of late convergence is slow, by Simulation Example and with
Other kinds algorithm carries out contrast verification, it was demonstrated that the algorithm has an apparent superiority.
In order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, to embodiment or will show below
There is attached drawing needed in technology description to be briefly described, it should be apparent that, the accompanying drawings in the following description is only this
Some embodiments of invention without having to pay creative labor, may be used also for those of ordinary skill in the art
To obtain other attached drawings according to these attached drawings.
An embodiment of the present invention provides a kind of distribution network failure area containing distributed generation resource based on cuckoo searching algorithm
Section localization method.
In order to make the invention's purpose, features and advantages of the invention more obvious and easy to understand, below in conjunction with the present invention
Attached drawing in embodiment, technical scheme in the embodiment of the invention is clearly and completely described, it is clear that disclosed below
Embodiment be only a part of the embodiment of the present invention, and not all embodiment.Based on the embodiments of the present invention, this field
All other embodiment that those of ordinary skill is obtained without making creative work, belongs to protection of the present invention
Range.
Referring to Fig. 1, a kind of matching containing distributed generation resource based on cuckoo searching algorithm provided in an embodiment of the present invention
One embodiment of electric network fault Section Location, including：
S1：Establish distribution network failure positioning mathematical model, by distribution network failure deciding field problem be described as one have 0-1 from
Dissipate the optimization problem under constraints.
S2：The function contacted between circuit current operating conditions and panel switches state can be reflected by establishing one, be realized
From the out-of-limit situation of switch fault electric current to the conversion of line fault conditions.
S3：In order to reflect physical fault and assume the error between failure, establish evaluation function, functional value is smaller, indicates
Error is smaller, and obtained fault section is more accurate.
S4：Cuckoo searching algorithm (CS) is introduced, and illustrates the algorithm principle.
S5：The adjustment that adaptive step is carried out to cuckoo searching algorithm improves the ability of searching optimum of the algorithm and asks
Solve precision.
S6：By classical example to carry out simulating, verifying to algorithm proposed in this paper, and carried out with the result of other algorithms
Comparison.
Distribution network failure deciding field problem be can substantially be described as one have 0-1 discrete constraints under the conditions of most
Optimization problem, mathematical model are：
In formula：N is the dimension of parametric variable, indicates Candidate Fault interval number；X (i) is the value of i-th dimension variable, is indicated i-th
The malfunction of railroad section is 1 when failure, is otherwise 0.
In the power distribution network containing multiple distributed generation resources, traditional binary malfunction coding mode is no longer applicable in.For solution
Certainly this problem assumes first that the direction that user terminal is flowed to by system power supply is feeder line positive direction, while introducing three primitive encoding shapes
Formula is, it is specified that fault current IjFor：
Current direction caused by order to adapt to switching of the distributed generation resource in Complicated Distribution Network changes, and what is proposed in the literature opens
It closes and is improved on functional foundations, introduce switching coefficient KDGiTo indicate the switching of power supply.Switch function as defined hereinAs follows：
In formula,The switch function switched for j-th, have 1 respectively, 0, -1 three kind of state；J-th of switch is defined to upstream electricity
On the contrary circuit between source is lines upstream, then be downstream line；SjuFor the failure shape of u sections of circuits in switch j lines upstreams
State；SjdFor the malfunction of d sections of circuits in switch j downstream lines；M1For the lines upstream set of switch j；M2For switch j's
Downstream line set；KDGiThe access situation for indicating DG, i.e., if when having DG accesses in power distribution network, value is " 1 "；Without DG
Value is " 0 " when access；N is the set of distributed generation resource；" Π " is logic or operation.
Evaluation function is for reflecting physical fault and assuming the error between failure, and error is smaller, the event illustrated
It is more accurate to hinder section.According to " minimal set " concept famous in Troubleshooting Theory, i.e.,：It is selected in possible fault diagnosis result
The solution of faulty equipment number minimum is taken to construct following function：
In formula:M is measuring control point quantity；IjFor the practical state value uploaded of measuring control point；For each measuring point expectation state value；N is area
Hop count；SiFor the state value of section i；ω is weight coefficient, and value must be between [0,1], and value is too small cannot to be fully demonstrated " most
The meaning of few faulty equipment number ", and value is excessive may cause to judge by accident.
The it is proposed of cuckoo searching algorithm be based primarily upon cuckoo parasitism nestling behavior and Levy flights mechanism this two
A strategy.Cuckoo finds a best bird's nest to hatch the bird egg of oneself by way of random walk in nature,
In order to simulate cuckoo modes of reproduction, it is assumed that following 3 perfect conditions：
(1) each cuckoo next egg every time, and put it into randomly selected nest；
(2) the best nest with high-quality egg can be brought to the next generation；
(3) available parasitic nest quantity is fixed, and host has found the egg that cuckoo is put with probability P a ∈ (0,1), this
In the case of, host, which can eliminate the egg or abandon old nest, separately builds new nest.
On the basis of these three perfect conditions, cuckoo seek nest path and location update formula it is as follows：
In formula,Indicate i-th of bird's nest in the bird's nest position in t generations；It is two vector points to dot-product；Indicate step-length control
Amount processed, value obey standardized normal distribution；L (λ) is Levy random searches path, and(1 λ≤3 ＜).It is logical
After crossing location updating, compared with random number r ∈ [0,1] and Pa, if r>Pa is then rightChanged at random, on the contrary it is constant.Most
Retain one group of best bird's nest position of fitness value afterwards
In basic cuckoo algorithm, since Levy flights are the processes of a random walk, smaller short of step-length
Distance flight and the larger long-distance flight of step-length alternate.In entire search process, big step-length is conducive to expand search
Range is not easy to be absorbed in local optimum, but also reduces required precision；Small step length is conducive to improve the quality of solution, but searches for speed
It spends slack-off.In order to solve the contradiction between large and small step-length, enable the adaptively dynamic adjusting step intervals Levy flights,
Make ability of searching optimum that can meet the requirements with solving precision, introduces apart from the factor：
In formula：xiIndicate the position of i-th of bird's nest；xbestIndicate best bird's nest position；LmaxIndicate current optimum position and its
The maximum value of remaining all bird's nest positional distances.Adaptive adjusting step strategy is introduced based on formula (2)：
stepi=stepmin+(stepmax-stepmin)Li (7)
In formula：stepmaxAnd stepminRespectively represent the maximum value and minimum value of step-length.
When the position of i-th of bird's nest is closer with best bird's nest positional distance, then | | xi-xbest| | it is smaller, required by above formula
LiIt is worth smaller, obtains stepiAlso smaller.When the position of bird's nest is gradually approached to best bird's nest position, with small step-length stepi
The position of bird's nest can be allowed preferably to be unlikely to skip optimal solution because step-length is too big close to best bird's nest position, to improve
The quality of understanding.Equally, when the best bird's nest position of bird's nest positional distance farther out when, step can be obtained by formulaiIt is larger, with big step-length
Search speed can be greatly improved when scanning for.By analysis, the above method can realize adaptive dynamic adjusting step,
Optimize the search speed and solving precision of entire algorithm.
In order to verify reasonability and validity of the cuckoo searching algorithm in distribution network failure positioning, with shown in Fig. 3
Distribution net work structure uses processor for 2.6GHZ as example, inside saves as the PC of 4GB under the simulated environment of MatlabR2010B
It is emulated.Cuckoo searching algorithm parameter setting is as follows：Cuckoo Bird's Nest scale n=15, the probability P a=that bird egg is found
0.25, maximum iteration M=1000, maximum, minimum step (stepmax、stepmin) it is respectively 1,0.01.
(1) without information distortion Single Point of Faliure and two point failure sample calculation analysis when
1) when breaking down at F1, the information that FTU1-31 is uploaded is [1 1110 0-1 0000000 0-1
- 100 0-1-1-1-1-1-1-1 000 0], the value f of the minimum evaluation function of outputbest=0.6, faulty section
Between be determined as (4,5).
2) when breaking down at F2, the information that FTU1-31 is uploaded is [1-1-1 00 0-1 0000000
0 1-1 00 0-1-1 11 1-1-1 000 0], the value f of the minimum evaluation function of outputbest=0.8, failure
Section is determined as (25,26).
3) when F1 and F2 breaks down simultaneously, the information that FTU1-31 is uploaded is [1 1110 0-1 00000
000 1-1 00 0-1-1 11 1-1-1 000 0], the value f of the minimum evaluation function of outputbest=1.3,
Fault section is determined as (4,5) and (25,26).
By above three numerical results it is found that the result of test of heuristics is consistent with the abort situation assumed.In order to more
The accuracy of sufficient testing algorithm is arranged Single Point of Faliure and two point failure in the different location of circuit and carries out 100 times respectively
Algorithm experiment, iterations and emulation when record optimal value occurs every time take, and final statistical result is shown in Table 1.From emulation
As a result as can be seen that having very well to solve the distribution network failure orientation problem containing distributed generation resource using cuckoo searching algorithm
Accuracy and high efficiency.
1 Single Point of Faliure of table and two point fault simulation result
Tab1.Results for one fault and two faults simulation
(2) there is sample calculation analysis when information distortion
1) when breaking down at F2, the information that FTU3 and FTU28 are uploaded is distorted, and the information that FTU1-31 is uploaded is [1-1
100 0-1 00000000 1-1 00 0-1-1 11 1-1-1 100 0], the minimum of output is commented
Valence functional value is fbest=6.3, fault section is determined as (25,26).
2) it breaks down at F1 and F2, the information that FTU2 and 24 is uploaded is distorted, and the information that FTU1-31 is uploaded is [1
0110 0-1 00000000 1-1 00 0-1-1 111 1-1 000 0], the minimum of output
Evaluation function value is fbest=12.8, fault section is determined as (4,5) and (25,26).
By above-mentioned two example it is found that when the FTU information uploaded is distorted, the result of test of heuristics still with vacation
If abort situation it is consistent, it was demonstrated that cuckoo searching algorithm have in distribution network failure orientation problem good fault-tolerance and
Solving precision.
Claims (6)
1. a kind of Fault Section Location of Distribution Network containing distributed generation resource, it is characterised in that：Including：
S1：Establish distribution network failure positioning mathematical model, by distribution network failure deciding field problem be described as one have 0-1 from
Dissipate the optimization problem under constraints；
S2：The function contacted between circuit current operating conditions and panel switches state can be reflected by establishing one, be realized from opening
Close conversion of the out-of-limit situation of fault current to line fault conditions；
S3：In order to reflect physical fault and assume the error between failure, establish evaluation function, functional value is smaller, indicates error
Smaller, obtained fault section is more accurate；
S4：Cuckoo searching algorithm (CS) is introduced, and illustrates the algorithm principle；
S5：The adjustment that adaptive step is carried out to cuckoo searching algorithm improves the ability of searching optimum of the algorithm and solves essence
Degree；
S6：Simulating, verifying is carried out to algorithm proposed in this paper by classical example, and is compared with the result of other algorithms.
2. the Fault Section Location of Distribution Network according to claim 1 containing distributed generation resource, which is characterized in that described
Step S1 includes：
Distribution network failure deciding field problem is can be substantially described as one with the optimization under the conditions of 0-1 discrete constraints
Problem, mathematical model are：
In formula：F (X) is required object function；N is the dimension of parametric variable, indicates Candidate Fault interval number；X (i) is i-th
The value of variable is tieed up, indicates the malfunction of i-th of railroad section, is 1 when failure, is otherwise 0；X be track section state to
Amount.
3. the Fault Section Location of Distribution Network according to claim 1 containing distributed generation resource, which is characterized in that described
Step S2 includes：
In the power distribution network containing multiple distributed generation resources, traditional binary malfunction coding mode is no longer applicable in；To solve this
A problem assumes first that it is feeder line positive direction to flow to the direction of user terminal by system power supply, while introducing ternary coding form, advises
Determine fault current IjFor：
Current direction caused by order to adapt to switching of the distributed generation resource in Complicated Distribution Network changes, and what is proposed in the literature opens
It closes and is improved on functional foundations, introduce switching coefficient KDGiTo indicate the switching of power supply；Switch function as defined hereinAs follows：
In formula,The switch function switched for j-th, have 1 respectively, 0, -1 three kind of state；J-th of switch is defined to upstream electricity
On the contrary circuit between source is lines upstream, then be downstream line；SjuFor the failure shape of u sections of circuits in switch j lines upstreams
State；SjdFor the malfunction of d sections of circuits in switch j downstream lines；M1For the lines upstream set of switch j；M2For switch j's
Downstream line set；KDGiThe access situation for indicating DG, i.e., if when having DG accesses in power distribution network, value is " 1 "；Without DG
Value is " 0 " when access；N is the set of distributed generation resource；" Π " is logic or operation.
4. the Fault Section Location of Distribution Network according to claim 1 containing distributed generation resource, which is characterized in that described
Step S3 includes：
Evaluation function is for reflecting physical fault and assuming the error between failure, and error is smaller, the faulty section illustrated
Section is more accurate；According to " minimal set " concept famous in Troubleshooting Theory, i.e.,：Event is chosen in possible fault diagnosis result
The solution for hindering number of devices minimum constructs following function：
In formula:M is measuring control point quantity；IjFor the practical state value uploaded of measuring control point；For each measuring point expectation state value；N is section
Number；SiFor the state value of section i；ω is weight coefficient, and value must be between [0,1], and value is too small cannot to be fully demonstrated " at least
The meaning of faulty equipment number ", and value is excessive may cause to judge by accident.
5. the Fault Section Location of Distribution Network according to claim 1 containing distributed generation resource, which is characterized in that described
Step S4 includes：
The it is proposed of cuckoo searching algorithm is based primarily upon cuckoo parasitism nestling behavior and Levy flights mechanism the two plans
Slightly；Cuckoo finds a best bird's nest to hatch the bird egg of oneself by way of random walk in nature, in order to
Simulate cuckoo modes of reproduction, it is assumed that following 3 perfect conditions：
(1) each cuckoo next egg every time, and put it into randomly selected nest；
(2) the best nest with high-quality egg can be brought to the next generation；
(3) available parasitic nest quantity is fixed, and host has found the egg that cuckoo is put with probability P a ∈ (0,1), this
In the case of, host, which can eliminate the egg or abandon old nest, separately builds new nest；
On the basis of these three perfect conditions, cuckoo seek nest path and location update formula it is as follows：
In formula,WithIndicate i-th of bird's nest in the bird's nest position in t generations and t+1 generations respectively；For point-to-point product；
Indicate that step size controlling amount, value obey standardized normal distribution；L (λ) is Levy random searches path, and(1
λ≤3 ＜)；After location updating, compared with random number r ∈ [0,1] and Pa, if r>Pa is then rightChanged at random,
Otherwise it is constant；Finally retain one group of best bird's nest position of fitness value
6. the Fault Section Location of Distribution Network according to claim 1 containing distributed generation resource, which is characterized in that described
Step S5 includes：
In basic cuckoo algorithm, since Levy flights are the process of a random walk, the smaller short distance of step-length
Flight and the larger long-distance flight of step-length alternate；In entire search process, big step-length is conducive to expand search range,
It is not easy to be absorbed in local optimum, but also reduces required precision；Small step length is conducive to improve the quality of solution, but search speed becomes
Slowly；In order to solve the contradiction between large and small step-length, enables the adaptively dynamic adjusting step intervals Levy flights, make complete
Office's search capability can meet the requirements with solving precision, introduce apart from factor Li：
In formula：xiIndicate the position of i-th of bird's nest；xbestIndicate best bird's nest position；LmaxIndicate current optimum position and its
The maximum value of remaining all bird's nest positional distances；Adaptive adjusting step strategy is introduced based on formula (2)：
stepi=stepmin+(stepmax-stepmin)Li (7)
In formula：stepmaxAnd stepminRespectively represent the maximum value and minimum value of step-length；
When the position of i-th of bird's nest is closer with best bird's nest positional distance, then | | xi-xbest| | smaller, the L required by above formulai
It is worth smaller, obtains stepiAlso smaller；When the position of bird's nest is gradually approached to best bird's nest position, with small step-length stepiIt can be with
It allows the position of bird's nest preferably to be unlikely to skip optimal solution because step-length is too big close to best bird's nest position, understands to improve
Quality；Equally, when the best bird's nest position of bird's nest positional distance farther out when, step can be obtained by formulaiIt is larger, it is carried out with big step-length
Search speed can be greatly improved when search；By analysis, the above method can realize adaptive dynamic adjusting step, optimization
The search speed and solving precision of entire algorithm.
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