CN106054019B - The online Fault Locating Method of power distribution network high fault tolerance based on failure confactor - Google Patents
The online Fault Locating Method of power distribution network high fault tolerance based on failure confactor Download PDFInfo
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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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Abstract
The invention discloses a kind of online Fault Locating Method of power distribution network high fault tolerance based on failure confactor, the electric current for collecting each feeder switch of power distribution network using main website gets over limit information；Set up switch function collection；Set up the nonlinear complementarity optimization fault location model of distribution network failure positioning；Set up the Non-Linear Programming fault location model for meeting KKT extremum conditions；Obtained using Lagrange multiplier and continuous space nonlinear optimization extreme value theorem with faulty confactor, realize the fault location nonlinear equation group model of fault location and FTU defect identifications.The present invention realizes single or multiple failure high fault tolerance positioning to distribution feeder fault section, realize the accurate recognition of the FTU setting positions of latent defect, realize the online fault location of large-scale complex power distribution network, repair based on condition of component to FTU devices provides theoretical direction, has the advantages that to realize that convenient, reliability is high, fault-tolerance ability is strong, fault location efficiency high, has strong adaptability to multiple failure.
Description
Technical field
The present invention relates to the technical field of intelligent distribution network, more particularly, it is related to a kind of based on failure confactor
The online Fault Locating Method of power distribution network high fault tolerance, single or multiple failure, which is determined, to be realized to distribution feeder fault section
Position, the accurate recognition of the FTU setting positions of latent defect.
Background technology
During electric energy transmission ＆ distribution, power distribution network is the important contact tie between power system and user.With economical fast
Speed development, requirement of the user to power supply reliability and power supply quality is improved constantly, and distribution network failure positioning is used as feeder fault area
Domain accurate recognition and the premise for recovering customer power supply, quickly and accurately find out the abort situation of distribution feeder, match somebody with somebody for raising
Electric system self-healing property and power supply reliability play an important roll.However, as distribution net work structure and its surrounding environment tend to simultaneously
Complexity, failure possibility occurrence and multiple failure probability not only increase and significantly increased therewith, how to utilize fault location information
Uncertainty, how to effectively improve distribution network failure identification accuracy, rapidity and fault-tolerance, it has also become lifting power distribution network
Intelligent level key issue urgently to be resolved hurrily.
For a long time, the trouble point method for searching based on artificial line walking, manpower and materials expend big, while because time-consuming, increases
Strong power off time, drastically influence the power supply reliability of power distribution network.For effectively reduction distribution network failure positioning time, lifting event
Hinder the accuracy of positioning, operation power administrative department, which is relied on distribution line, installs substantial amounts of automation block switch and electric power
Intelligent monitoring terminal Feeder Terminal Unit-FTU, to improve automation and the intelligent level of power distribution network, so that real
The quick positioning of feeder line section is with isolating during existing distribution network failure.
The conventional Fault Locating Method based on automatic Switching is：Take reclosing and block switch by it is rational when
Between coordinate realize.This method needs to find trouble point by the multiplicating for having a power failure and restoring electricity, and its advantage avoids failure
The artificial participation of positioning, improves fault location efficiency, but its time tuning process is complicated, and position fixing process is because repeatedly artificially stopping
Electricity, can cause fault time and scope to expand.
Another conventional Fault Locating Method based on automatic Switching is：Directly utilize the collection of FTU assembly monitors
Overcurrent information, based on the incidence relation between fault feeder and overcurrent, by building fault location mathematical modeling and corresponding calculation
Method, finds fault section position, then directly opens fault feeder two ends block switch isolated fault section.This method has event
It need not carry out that power failure operation, principle are simple, realize convenient and high accuracy for examination in barrier position fixing process.
At present, numerous studies have been carried out for gathering the electrical power distribution network fault location method of information based on FTU devices, have adopted
Modeling Theory mainly includes artificial neural network, rough set theory, data mining technology, unified square with fault identification method
Battle array algorithm, Swarm Intelligent Algorithm etc..Fault Locating Method based on artificial neural network typically has fault-tolerance and general
Property the characteristic such as strong, but its selection and training for needing to carry out fault sample in fault location, its reasonability will directly affect
The accuracy and fault-tolerance of fault location, when occurring Distributing network structure change, it is necessary to which re -training is to follow the trail of with complicated and changeable
The power distribution network topological structure of feature, causes fault location efficiency low；Method based on rough set theory, data mining technology, builds
Modulus principle is relative complex, is not easy to engineer applied；Uniform matrix operation and Swarm Intelligent Algorithm build fault location model
When, because principle is simple, realize the remarkable advantage such as convenient, obtains widely studied and favored in engineering and be employed.
The fault location process of matrix algorithm realized by matrix relationship computing, therefore, with numerical stability is strong, failure
Efficiency high and the good advantage of real-time are recognized, but its modeling principle when considering power distribution network complexity multiple failure is complicated；With colony
Method based on intelligent algorithm is limited by the dependence to random population intelligent algorithm, do not only exist the low defect of location efficiency and
Factor value unstability and cause the reliability of fault location result to reduce, expand fault coverage indirectly.
But the Back ground Information source FTU that uniform matrix operation and Swarm Intelligent Algorithm are rely is by equipment work external environment
, easily there is loss of learning or distortion in the influence of factor, it will directly results in the reliability reduction of such method, produces failure
Misjudge and fail to judge.Therefore, such is improved from itself functional reliability of FTU equipment and fault location algorithm fault-tolerance double angle
The fault location accuracy of algorithm.
At present, the work of FTU devices is main realizes that its reliability is improved by periodic inspection, and it can cause some equipment not
The maintenance and overhauling causes artificial reliability to decline, while the huge waste of financial resources and material resources is will also result in, in addition, all the time
Two work of FTU turnarounds of unit and fault location are isolated to be carried out so that there is the deficiency of inaccurate coordination between the two, i.e.,：The inspection
Repair and do not overhaul but, so that FTU operational reliabilitys are reduced, because causing fault location to be calculated increasing the possibility of information distortion
The accuracy reduction of method.Therefore, the maintenance of FTU devices is changed from periodic inspection to repair based on condition of component, and improve FTU turnarounds of unit with
The problem of harmony between fault location source information has remained as to be solved.
The existing distribution network failure for gathering information based on automatization terminals such as FTU is determined it can be seen from discussion more than
Position method：Power distribution network graph theory discrimination method is to information distortion or loses shortage strong adaptability；Distribution based on artificial neural network
Network fault positioning method is difficult to meet power distribution network change in topology and the location requirement of multiple failure；Based on Swarm Intelligence Algorithm
Electrical power distribution network fault location method there is the inherent shortcomings such as location efficiency is not high, numerical stability is poor.It is therefore proposed that on a kind of collection
Advantage is stated in one, and reflects FTU maintenance and the high fault tolerance and strong adaptability of coordinative coherence between fault location source information
FTU distribution network failures method turns into key urgently to be resolved hurrily.
The content of the invention
In order to solve the above-mentioned technical problem, based on the automation collection terminal such as FTU, the present invention proposes a kind of based on failure
The online Fault Locating Method of power distribution network high fault tolerance of confactor, single or multiple event is realized to distribution feeder fault section
The high fault tolerance positioning of barrier, and the accurate recognition of the FTU setting positions of latent defect is realized simultaneously, can effectively it realize extensive
The online fault location of Complicated Distribution Network, and provide theoretical direction to the repair based on condition of component of FTU devices.
To reach above-mentioned purpose, the technical scheme is that：A kind of power distribution network height based on failure confactor is fault-tolerant
The online Fault Locating Method of property, its step is as follows：
Step one：With 15 minutes for the cycle, using the electric current of current monitoring device dynamic monitoring power distribution network monitoring point, pass through
Compared with setting normal current reference value, fault overcurrent is judged whether；When there is fault overcurrent, each independent ratio
Alarming value 1 is exported compared with device, otherwise output valve 0；By controlling main website to collect the fault overcurrent more limit value of all control points, formed
Electric current warning message collection；
Step 2：When controlling main website to be collected into fault overcurrent information, first, electric current warning message collection and distribution are utilized
Net topology structure, based on algebraic relation description, approach relationship is theoretical and complementary theory sets up nonlinear complementarity optimization fault location
Model；Then, based on replacement theory of equal value, nonlinear complementarity optimization fault location model is transformed to using complementary smooth function
Meet the Non-Linear Programming fault location model of KKT extremum conditions；Further, Lagrange multiplier, Discontinuous Factors and KKT are utilized
Extremum conditions sets up the distribution network failure positioning Nonlinear System of Equations mathematical modeling based on failure confactor method；Finally, pass through
Feeder line section position is picked out using iterative method, the characteristic ginseng value of Lagrange multiplier is obtained, the defect shape of FTU devices is realized
State is assessed to be recognized with distorted position；
Step 3：The SCADA system of Surveillance center sends separating brake order to fault feeder section close to automatic Switching, real
The isolation of existing feeder fault section；Meanwhile, the defect state according to FTU devices is assessed and distorted position, is provided to operation maintenance personnel
Repair based on condition of component implementation plan.
Further, it is described based on algebraic relation description, approach relationship be theoretical and complementary theory to set up nonlinear complementarity excellent
Change fault location model process be：All events directly related with electric current warning message are found out using causalnexus analysis theories
Hinder equipment, set up the cause and effect equipment collection of automatic Switching；Closed based on undirected connectivity of graph theory, power flow transmission mechanism, algebraically
It is that switch function collection is set up in description；Based on quadratic closeness relational theory, feeder line state is concentrated with the switch function of automatic Switching
Characteristic value cumulative and with FTU devices upload with the squared difference between markers electric current alarm condition characteristic value and be minimised as finger
Mark, by 0-1 Constraints conditions, sets up the nonlinear complementarity optimization fault location model of distribution network failure positioning.
Further, the online Fault Locating Method of power distribution network high fault tolerance based on failure confactor, it is special
Levy and be, it is described based on algebraic relation describe set up electric current get over limit information switch function collection use algebra operator add operation
(+) or subtraction (-) are realized.
Further, the online Fault Locating Method of power distribution network high fault tolerance based on failure confactor, it is special
Levy and be, replace logic or computing to build switch function using add operation, the switch function number described based on algebraic relation
Learn modelIt is represented by：
Wherein, SiFor i-th of automatic Switching, ΩiFor automatic Switching i cause and effect equipment collection,For ΩiIn cause and effect
Number of devices, X is each distribution feeder state variable column matrix, and Ω is all automatic Switching cause and effect equipment collection ΩiThe collection of composition
Close, x (i) be automatic Switching i adjacent feeders running state information, x (i) values be 0 or 1, i=1,2 ..., N, N be from
The number of dynamic Switching.
Further, by 0-1 Constraints conditions, the nonlinear complementarity optimization failure for setting up distribution network failure positioning is determined
The mathematics model table of approaching of bit model is shown as：
Wherein,The warning message uploaded for automatic Switching i.
Further, alternative is had according to the fault message state of feeder line, building auxiliary Constraints condition is：X⊥
(1-X)=0；The minimum optimizing index of residual sum of squares (RSS) based on continuous space and Constraints condition, set up Constraints excellent
Changing distribution network failure location model is：
Further, the method for building up of the Non-Linear Programming fault location model is：Introduce Fischer-
Burmeister complementary functions：Wherein, a, b represent complemented variable, meet a ⊥ b=0；
Increase Discontinuous Factors μ, obtain revised complementary function and be expressed as(μ,a,
b)∈R3, R is nature manifold；0-1 Constraints conditions are substituted using revised complementary function, it is considered to the fault message of feeder line
State has alternative, obtainsFoundation meets KKT extreme value bars
The Non-Linear Programming fault location model of part：
Further, the online Fault Locating Method of power distribution network high fault tolerance based on failure confactor, it is special
Levy and be, the method for the distribution network failure positioning Nonlinear System of Equations mathematical modeling standardization is：Utilize Lagrange multiplier
λi, the nonlinear equation group model of distribution network failure positioning is set up based on KKT extremum conditions：
Further, c is accelerated factor, and X is each distribution feeder state variable column matrix, then the failure of fault location is auxiliary
It is c μ X to help factor mathematical modeling,Then ΦFB(μ,X,1-X)+c
μ λ are the state estimation factor of FTU automation equipment defect identifications；Order：The coefficient matrix that A is made up of switch function, nonlinear equation
The normalized form of group model is：
Further, the normalized form of the nonlinear equation group model of the distribution network failure positioning is converted into two
The mathematical modeling of the Newton-Raphson approach iterative of rank convergence property is：
Further, the Newton-Raphson approach carries out the side of the nonlinear equation group model iterative of fault location
Method is：
1st, accelerated factor c ∈ (0.5,2), (X are chosen(0),λ(0),μ(0))=1；
2nd, judge | | H (X(k),λ(k),μ(k))||2Value, if its value be 0, algorithm terminate, be otherwise transferred to step 3；
3rd, [Δ X is calculated using the mathematical modeling of the Newton-Raphson approach iterative with second order convergence characteristic(k),Δ
λ(k),Δμ(k)]T；
4th, [X is calculated using the mathematical modeling of the Newton-Raphson approach iterative with second order convergence characteristic(k+1),
λ(k+1),μ(k+1)]T, and calculate | | H (X(k),λ(k),μ(k))||2Value, be transferred to step 2.
Beneficial effect：Compared with prior art, the present invention is realized using algebraic relation modeling and approach relationship theory, with base
Consideration fault-tolerance is more easily than in the matrix algorithm of graph theory knowledge, meanwhile, break away from traditional logic-based relationship modeling optimal
Change Fault Locating Method to the dependence of Swarm Intelligence Algorithm, distribution feeder fault section is realized single or multiple failure
High fault tolerance is positioned, and realizes the accurate recognition of the FTU setting positions of latent defect simultaneously, can effectively realize large-scale complex
The online fault location of power distribution network, and to FTU devices repair based on condition of component provide theoretical direction, with realize convenient, reliability it is high,
Fault-tolerance ability is strong, fault location efficiency high, have the advantages that strong adaptability to multiple failure.
Brief description of the drawings
In order to illustrate more clearly about the embodiment of the present invention or technical scheme of the prior art, below will be to embodiment or existing
There is the accompanying drawing used required in technology description to be briefly described, it should be apparent that, drawings in the following description are only this
Some embodiments of invention, for those of ordinary skill in the art, on the premise of not paying creative work, can be with
Other accompanying drawings are obtained according to these accompanying drawings.
Single supply radial distribution networks line map when Fig. 1 runs for the present invention is normal.
Single supply radial distribution networks line map when Fig. 2 is failure operation of the present invention.
Fig. 3 is a kind of online Fault Locating Method of power distribution network high fault tolerance based on failure confactor disclosed by the invention
Flow chart.
In Fig. 1 and Fig. 2, S1For the lead-in circuit breaker of transformer station, S2、S3、……、S7For feeder line section switch, pane generation
Table breaker, short square represents on-load switch.
Embodiment
The content of invention is described further below with reference to accompanying drawing and example.
As shown in Figure 1, Figure 2 and Figure 3, when distribution network line fault, failure can be based on using one kind of the present invention auxiliary
The online Fault Locating Method of power distribution network high fault tolerance of the factor is helped, its step is as follows：
Step 1：Based on time synchronism apparatus, with 15 minutes for controlling cycle, matched somebody with somebody using current monitoring device dynamic monitoring
The electric current of power network monitoring point, and by compared with setting normal current reference value, fault overcurrent being judged whether, when depositing
In fault overcurrent, each independent comparators export alarming value 1, otherwise output valve 0, and by controlling main website to collect all monitoring
The fault overcurrent of point gets over limit value, forms electric current warning message collection.
As depicted in figs. 1 and 2, S1For transformer station SUB1 lead-in circuit breaker, feeder line section 1-7 is by lead-in circuit breaker S1's
Transformer station SUB1 powers, S2-S7For the automatic Switching of feeder line section switch, i.e. feeder line.It is assumed that feeder line 5 and feeder line 7 occur simultaneously
Failure, and set two kinds of situations：(1) FTU information distortions are not present, according to the sequence number S of block switch1、S2、……、S7Order row
Arrange, then the electric current warning message collection according to undirected connectivity of graph theory, power flow transmission mechanism and comparison method formation is：[1 1 1
1 1 1 1]；(2) there is S1、S2Two information distortions or S1、S2、S3During three information distortions, then managed according to the undirected connectivity of graph
Electric current warning message collection by, power flow transmission mechanism and comparison method formation is respectively：[0 01111 1] and [0 001
1 1 1]。
Step 2：When controlling main website to be collected into fault overcurrent information, first, electric current warning message collection and distribution are utilized
Net topology structure, based on algebraic relation description, approach relationship is theoretical and complementary theory sets up nonlinear complementarity optimization fault location
Model；Then, based on replacement theory of equal value, nonlinear complementarity optimization fault location model is transformed to using complementary smooth function
Meet the Non-Linear Programming fault location model of KKT extremum conditions；Further, Lagrange multiplier, Discontinuous Factors and KKT are utilized
Extremum conditions, sets up the distribution network failure positioning Nonlinear System of Equations mathematical modeling based on failure confactor method；Finally, pass through
Feeder line section position is picked out using iterative method, the characteristic ginseng value of Lagrange multiplier is obtained, and then realizes lacking for FTU devices
State estimation is fallen into recognize with distorted position.
1) the direct phase of electric current warning message that failure is uploaded with control point, first, is found out using causalnexus analysis theories
All possible breakdown equipment closed, i.e. causalnexus equipment, set up the cause and effect equipment collection of each automatic Switching.As shown in Fig. 2
According to undirected connectivity of graph theory, power flow transmission mechanism, if a certain automatic Switching K failures overcurrent and feeder line section
The failure that short circuit occurs for i is directly related, then feeder line section i is automatic Switching K cause and effect equipment.As breaker S1Control point
When having warning message upload, understood according to connective and power flow the conveyer mechanism of network topology, it may be possible to which feeder line 1~7 occurs
Short trouble causes, and it is to cause breaker S1The cause and effect equipment of electric current warning message.Similarly, it can obtain block switch S2~S7
Cause and effect equipment, the cause and effect equipment collection of foundation is as shown in table 1.
The cause and effect equipment collection of the automatic Switching of table 1
2), the cause and effect equipment and sequential build switch function according to each automatic Switching, and its must directly reflect because
Causalnexus between fruit equipment and corresponding automation switch alarm information, sets up switch function collection.According to causalnexus equipment
Determination method understand that there is in parallel superimposed characteristics, i.e. cause and effect equipment can individually occur short trouble or same between cause and effect equipment
When failure, can all cause the fault overcurrent of automatic Switching.The switch that electric current gets over limit information is set up based on algebraic relation description
Collection of functions realizes that it has contained causalnexus equipment running status letter using algebra operator add operation (+) or subtraction (-)
The superimposed characteristics in parallel to uploading electric current warning message coupling are ceased, to jump out the dependence to Swarm Intelligent Algorithm.
In algebraic operation, superimposed characteristics in parallel are contained in "+" computing, therefore, the present invention using "+" computing instead of logic or computing come
Build switch function.ΩiFor automatic Switching i cause and effect equipment collection,For ΩiMiddle cause and effect number of devices.According to above-mentioned switch letter
Several construction methods, when with N number of automatically-monitored terminal, the SWITCHING FUNCTION MATHEMATICAL MODEL described based on algebraic relationIt is represented by：
Wherein, Ω is all automatic Switching cause and effect equipment collection ΩiThe set of composition, x (i) is that automatic Switching i is adjacent
The running state information of feeder line, value be 0 or 1, i=1,2 ..., N, N be automatic Switching number.
3), based on quadratic closeness relational theory, with the switch function of automatic Switching feeder line state characteristic value it is cumulative
And with FTU terminals upload with the squared difference between markers electric current alarm condition characteristic value and be minimised as index, it is mutual by 0-1
Constraints is mended, the nonlinear complementarity optimization fault location model of distribution network failure positioning is set up.
The warning message uploaded for automatic Switching i, it approaches mathematical modeling and is represented by：
The fault message state of feeder line has alternative, i.e., same feeder fault state x (i) value can not simultaneously for 0 or
1, therefore, can build auxiliary Constraints condition is：
X ⊥ (1-X)=0.
The minimum optimizing index of residual sum of squares (RSS) based on continuous space and Constraints condition, the Constraints of foundation are excellent
Change distribution network failure location model to be represented by：
4), be converted to continuous space using the complementary function equivalence with Discontinuous Factors and meet the non-linear of KKT conditions
Plan distribution network failure positioning mathematical modeling：First, complementary function Fischer-Burmeister functions are introduced, i.e.,And increase Discontinuous Factors μ, the mathematical modeling of the complementary smooth function with Discontinuous Factors
Generally(μ,a,b)∈R3；Secondly, it is contemplated that the fault message state of feeder line
With alternative, therefore, it can obtainFinally, set up non-linear
Planning distribution network failure positions mathematical modeling：
5) Lagrange multiplier λ, is utilizedi, and the nonlinear equation that distribution network failure is positioned is set up based on KKT extremum conditions
Group model：
C is accelerated factor, and X is the failure confactor number of each distribution feeder state variable column matrix, then fault location
It is c μ X, Φ to learn modelFB(μ, X, 1-X)+c μ λ are the state estimation factor of FTU automation equipment defect identifications.Order：The coefficient matrix that A is made up of switch function, element value is 0 or 1, on
The normalized form for stating nonlinear equation group model is：
Distribution network failure based on failure confactor positions nonlinear equation group model：H (X, λ, μ)=0.
6), solved using the Newton-Raphson approach with second order convergence characteristic, Newton-Raphson approach is used for failure
The mathematical modeling of location model iterative is：
Its solution procedure is：
1st, accelerated factor c ∈ (0.5,2), (X are chosen(0),λ(0),μ(0))=1；
2nd, judge | | H (X(k),λ(k),μ(k))||2Value, if its value be 0, algorithm terminate, be otherwise transferred to step 3；
3rd, [Δ X is calculated using above-mentioned formula(k),Δλ(k),Δμ(k)]T；
4th, [X is calculated using above-mentioned formula(k+1),λ(k+1),μ(k+1)]T, and calculate | | H (X(k),λ(k),μ(k))||2Value, turn
Enter step 2.
7) Nonlinear System of Equations, is solved based on Newton-Raphson approach, algorithm drawn when terminating embodiment without information distortion and
There is fault location result during information distortion.If a certain feeder line section fault, it is 1 to define the feeder fault state characteristic value,
Conversely, its state characteristic value is 0, the fault location for Fig. 1 and Fig. 2 instantiations without information distortion and when having information distortion
As a result, as shown in table 2：
The fault location simulation result of table 2
Step 3：The result that the feeder fault section completed according to step 2 is positioned, the SCADA system of Surveillance center is to failure
Feeder line section sends separating brake order close to automatic Switching, realizes the isolation of feeder fault section；Defect shape according to FTU devices
State is assessed and distorted position, and repair based on condition of component implementation plan is provided to operation maintenance personnel.
The result that the feeder fault section completed according to step 2 is positioned understands x (5), x (7) value is 1.That is feeder line 5, feedback
Short trouble occurs for line 7, and the SCADA system of Surveillance center sends separating brake to the automatic Switching at fault feeder section 5,7 two ends
Order, realizes the isolation of feeder fault section 5,7.When without information distortion, Lagrange multiplier λ value is all 0, when there is information
During distortion, the Lagrange multiplier λ's of corresponding distortion position is not 0, is that can determine that using the position where the value for the λ for not being 0
Distorted position.By above-mentioned Fault Locating Method, can determine that out the distorted position assumed in step 1 is S1、S2Or S1、S2、S3, and then
The repair based on condition of component implementation plan of FTU devices is provided for operation maintenance personnel.
Example given above not makees any formal to illustrate the present invention and its practical application to the present invention
Limitation, any those skilled in the art in the range of without departing from technical solution of the present invention, according to above technology and
Method makees change or replacement that certain modification and change can readily occur in when the equivalent embodiment that be considered as equivalent variations.
Claims (3)
1. a kind of online Fault Locating Method of power distribution network high fault tolerance based on failure confactor, it is characterised in that its step
It is as follows：
Step one：With 15 minutes for the cycle, using the electric current of current monitoring device dynamic monitoring power distribution network monitoring point, by with setting
Determine normal current reference value to compare, judge whether fault overcurrent；When there is fault overcurrent, each independent comparators
Alarming value 1 is exported, otherwise output valve 0；By controlling main website to collect the fault overcurrent more limit value of all control points, electric current is formed
Warning message collection；
Step 2：When controlling main website to be collected into fault overcurrent information, first, opened up using electric current warning message collection and power distribution network
Structure is flutterred, based on algebraic relation description, approach relationship is theoretical and complementary theory sets up nonlinear complementarity optimization fault location model；
Then, based on replacement theory of equal value, nonlinear complementarity optimization fault location model is transformed to meet using complementary smooth function
The Non-Linear Programming fault location model of KKT extremum conditions；Further, Lagrange multiplier, Discontinuous Factors and KKT extreme values are utilized
Condition sets up the distribution network failure positioning Nonlinear System of Equations mathematical modeling based on failure confactor method；Finally, by using
Iterative method picks out feeder line section position, obtains the characteristic ginseng value of Lagrange multiplier, realizes that the defect state of FTU devices is commented
Estimate and recognized with distorted position；
Step 3：The SCADA system of Surveillance center sends separating brake order to fault feeder section close to automatic Switching, realizes feedback
The isolation of line fault section；Meanwhile, the defect state according to FTU devices is assessed and distorted position, and state is provided to operation maintenance personnel
Overhaul implementation plan；
It is described that nonlinear complementarity optimization fault location model is set up based on algebraic relation description, approach relationship theory and complementary theory
Process be：All faulty equipments directly related with electric current warning message are found out using causalnexus analysis theories, are set up certainly
The cause and effect equipment collection of dynamic Switching；Switch is set up based on undirected connectivity of graph theory, the description of power flow transmission mechanism, algebraic relation
Collection of functions；Based on quadratic closeness relational theory, with the switch function of automatic Switching concentrate the cumulative of feeder line state characteristic value and
With FTU devices upload with the squared difference between markers electric current alarm condition characteristic value and be minimised as index, pass through 0-1 complementation
Constraints, sets up the nonlinear complementarity optimization fault location model of distribution network failure positioning；
Logic or computing is replaced to build switch function using add operation, the switch function mathematical modulo described based on algebraic relation
TypeIt is represented by：
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</mrow>
Wherein, SiFor i-th of automatic Switching, ΩiFor automatic Switching i cause and effect equipment collection,For cause and effect equipment collection ΩiIn
Cause and effect equipment number, X be each distribution feeder state variable column matrix, Ω be all automatic Switching cause and effect equipment collection Ωi
The set of composition, x (i) is the running state information of automatic Switching i adjacent feeders, x (i) value is 0 or 1, i=1,
2nd ..., N, N are the number of automatic Switching；
By 0-1 Constraints conditions, the nonlinear complementarity for setting up distribution network failure positioning optimizes approaching for fault location model
Mathematical modeling is expressed as：
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Wherein,The warning message uploaded for automatic Switching i；
Alternative is had according to the fault message state of feeder line, building auxiliary Constraints condition is：X ⊥ (1-X)=0；
The minimum optimizing index of residual sum of squares (RSS) based on continuous space and Constraints condition, set up Constraints optimization distribution
Net fault location model is：
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<mi>f</mi>
<mrow>
<mo>(</mo>
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</mrow>
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<mi>min&Sigma;</mi>
<mrow>
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<mrow>
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<mi>X</mi>
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</mrow>
<mo>=</mo>
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</mrow>
</mtd>
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</mtable>
</mfenced>
The method for building up of the Non-Linear Programming fault location model is：Introduce Fischer-Burmeister complementary functions：Wherein, a and b represent complemented variable, meet a ⊥ b=0；Increase Discontinuous Factors μ, obtain
Revised complementary function is expressed asR is nature manifold；
0-1 Constraints conditions are substituted using revised complementary function, it is considered to which the fault message state of feeder line has alternative, obtainsThe Non-Linear Programming failure that foundation meets KKT extremum conditions is determined
Bit model：
The method for building up of distribution network failure positioning Nonlinear System of Equations mathematical modeling is：Utilize Lagrange multiplier λi, it is based on
KKT extremum conditions sets up the nonlinear equation group model of distribution network failure positioning：
<mrow>
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<mtr>
<mtd>
<mn>2</mn>
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<msub>
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<mi>I</mi>
<msub>
<mi>S</mi>
<mi>i</mi>
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<mo>*</mo>
</msubsup>
<mo>&rsqb;</mo>
<mfrac>
<mrow>
<mo>&part;</mo>
<msub>
<mi>I</mi>
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<mi>S</mi>
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</mrow>
<mrow>
<mo>&part;</mo>
<mi>x</mi>
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<mo>-</mo>
<mfrac>
<mrow>
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<mn>1</mn>
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<mn>2</mn>
<mi>x</mi>
<mrow>
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</mrow>
<mo>&rsqb;</mo>
<msub>
<mi>&lambda;</mi>
<mi>i</mi>
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</mrow>
<msqrt>
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<mn>1</mn>
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</mfrac>
<mo>=</mo>
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<mtr>
<mtd>
<mn>1</mn>
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<mi>x</mi>
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<mo>=</mo>
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<mi>&mu;</mi>
<mo>=</mo>
<mn>0</mn>
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<mtr>
<mtd>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
<mo>,</mo>
<mn>2</mn>
<mo>,</mo>
<mo>...</mo>
<mo>,</mo>
<mi>N</mi>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>;</mo>
</mrow>
C is accelerated factor, and X is the failure confactor mathematical modulo of each distribution feeder state variable column matrix, then fault location
Type is c μ X,Then ΦFB(μ, X, 1-X)+c μ λ are that FTU is automatic
The state estimation factor of defect identification is put in makeup；Order：A is switch
The coefficient matrix that function is constituted, the normalized form of nonlinear equation group model is：
<mrow>
<mi>H</mi>
<mrow>
<mo>(</mo>
<mi>X</mi>
<mo>,</mo>
<mi>&lambda;</mi>
<mo>,</mo>
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<mo>)</mo>
</mrow>
<mo>=</mo>
<mfenced open = "[" close = "]">
<mtable>
<mtr>
<mtd>
<mi>A</mi>
</mtd>
<mtd>
<mn>0</mn>
</mtd>
<mtd>
<mn>0</mn>
</mtd>
</mtr>
<mtr>
<mtd>
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</mtd>
<mtd>
<mn>0</mn>
</mtd>
<mtd>
<mn>0</mn>
</mtd>
</mtr>
<mtr>
<mtd>
<mn>0</mn>
</mtd>
<mtd>
<mn>0</mn>
</mtd>
<mtd>
<mn>0</mn>
</mtd>
</mtr>
</mtable>
</mfenced>
<mfenced open = "[" close = "]">
<mtable>
<mtr>
<mtd>
<mi>X</mi>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>&lambda;</mi>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>&mu;</mi>
</mtd>
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</mfenced>
<mo>+</mo>
<mfenced open = "[" close = "]">
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<mi>I</mi>
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<mi>F</mi>
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<mo>(</mo>
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<mi>c</mi>
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<mi>&lambda;</mi>
</mtd>
</mtr>
<mtr>
<mtd>
<mi>&mu;</mi>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>.</mo>
</mrow>
2. the online Fault Locating Method of power distribution network high fault tolerance based on failure confactor according to claims 1,
Characterized in that, the standardization of the nonlinear equation group model of the distribution network failure positioning is formed and is converted into second order convergence
The mathematical modeling of the Newton-Raphson approach iterative of characteristic is：
<mrow>
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<mrow>
<mo>(</mo>
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2
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</mtable>
</mfenced>
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<mfenced open = "[" close = "]">
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3. the online Fault Locating Method of power distribution network high fault tolerance based on failure confactor according to claims 2,
Characterized in that, the method that the Newton-Raphson approach carries out the nonlinear equation group model iterative of fault location is：
1st, accelerated factor c ∈ (0.5,2), (X are chosen(0),λ(0),μ(0))=1；
2nd, judge | | H (X(k),λ(k),μ(k))||2Value, if its value be 0, algorithm terminate, be otherwise transferred to step 3；
3rd, [Δ X is calculated using the mathematical modeling of the Newton-Raphson approach iterative with second order convergence characteristic(k),Δλ(k),
Δμ(k)]T；
4th, [X is calculated using the mathematical modeling of the Newton-Raphson approach iterative with second order convergence characteristic(k+1),λ(k+1),
μ(k+1)]T, and calculate | | H (X(k),λ(k),μ(k))||2Value, be transferred to step 2.
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| CN106771875B (en) * | 2016-12-30 | 2020-07-28 | 国网天津市电力公司 | Fault-tolerant fault positioning method for power distribution network |
| CN109470998B (en) * | 2018-12-11 | 2020-06-30 | 江苏电力信息技术有限公司 | Distribution network medium-voltage fault judgment method based on multi-dimensional fault characteristic quantity |
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