CN106655155A - Power distribution network fault recovery method with consideration of the uncertainty of fault recovery time - Google Patents
Power distribution network fault recovery method with consideration of the uncertainty of fault recovery time Download PDFInfo
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- CN106655155A CN106655155A CN201610890616.XA CN201610890616A CN106655155A CN 106655155 A CN106655155 A CN 106655155A CN 201610890616 A CN201610890616 A CN 201610890616A CN 106655155 A CN106655155 A CN 106655155A
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/001—Methods to deal with contingencies, e.g. abnormalities, faults or failures
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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
The invention relates to a power distribution network fault recovery method with consideration of the uncertainty of fault recovery time. The method comprises the following steps: according to the probability density function of the fault recovery time of the distribution network, obtaining two best power distribution network fault recovery times and the probabilities for the two best power distribution network fault recovery times respectively, or rather a first power distribution network fault recovery time and its probability and a second power distribution network fault recovery time and its probability; using the first power distribution network fault recovery time to establish a power distribution network fault recovery model and using the best solution of the power distribution network fault recovery model as the power distribution network fault recovery scheme; and using the second power distribution network fault recovery time to optimize the power distribution network fault recovery scheme. The method proposed by the invention adopts a Wasserstein distance method to determine the fault recovery times and through the utilization of the fault recovery times, proper adjustment can be made to the fault recovery scheme so as to realize the best power supply recovery to an area out of power and to increase the economy and security for power grid operations.
Description
Technical field
The present invention relates to power distribution network running technology field, and in particular to one kind considers that failure recovery time is probabilistic and matches somebody with somebody
Electric network fault restoration methods.
Background technology
After distribution network failure recovers to refer to that distribution network failure occurs, by determining optimum switch combination scheme, realize extensive
The targets such as multiple dead electricity load most, switching manipulation least number of times, loss minimization, while meeting power distribution network connectedness, spoke after recovery
Penetrate the conditions such as shape.
It is also one of study hotspot that in recent years the distribution network failure containing distributed power source recovers, when power distribution network breaks down simultaneously
After being isolated, the distributed power source in dead electricity area is independently-powered to the important load in the region, forms islet operation pattern,
Power supply reliability can be improved.But exerting oneself for the uncontrollable DG such as wind-force, photovoltaic has uncertainty, and the failure of power distribution network is extensive
The multiple time equally exists uncertainty, and causing trouble recovery scheme is different, and after power distribution network breaks down, the power supply to electrical network is extensive
Effect difference is answered, it is thus impossible to best service restoration effect is reached to dead electricity region using conventional failure restoration methods.
The content of the invention
The present invention provides a kind of consideration failure recovery time probabilistic distribution network failure restoration methods, its objective is to adopt
Determine the time of fault recovery with the method for Wasserstein distances, fault recovery scheme is entered using the failure recovery time
Row Reasonable adjustment, realizes the service restoration effect best to dead electricity region, and improves the economy and security of distribution network operation.
The purpose of the present invention is realized using following technical proposals:
One kind considers the probabilistic distribution network failure restoration methods of failure recovery time, and it is theed improvement is that, including:
According to the probability density function of distribution network failure recovery time, two of the probability density function are obtained respectively most
Excellent distribution network failure recovery time and the probability of described two optimum distribution network failure recovery times, i.e. the first distribution network failure is extensive
Multiple time and its probability and the second distribution network failure recovery time and its probability, wherein, when first distribution network failure recovers
Between probability more than the second distribution network failure recovery time probability;
Distribution network failure Restoration model is set up using the first distribution network failure recovery time, and the power distribution network is former
The optimal solution of barrier Restoration model is used as distribution network failure recovery scheme;
Optimize the distribution network failure recovery scheme using the second distribution network failure recovery time.
Preferably, the first distribution network failure recovery time and its probability and the are determined using Wasserstein distances
Two distribution network failure recovery times and its probability.
Further, the quantile S=2 of the probability density function of the distribution network failure recovery time is made, under solution
Formula (1) obtains respectively the first distribution network failure recovery time z1With the second distribution network failure recovery time z2:
In formula (1), g (t) for distribution network failure recovery time probability density function, s ∈ [1, S], r is exponent number.
As the following formula (2) obtain respectively the first distribution network failure recovery time z1Probability p1With second power distribution network
Failure recovery time z2Probability p2:
Preferably, it is described to set up distribution network failure Restoration model using the first distribution network failure recovery time, including:
It is object function to the maximum to recover distribution network restoration important load total electricity, formula is:
In formula (3), FmainFor the important load total electricity that major network recovers in the failure period to non-faulting dead electricity region, z1For
Fault correction time, n is that system node is total, λiFor the significance level of load in node i, Li,tIt is node i bearing in period t
Lotus size, yi,tFor state change parameter, yi,t=1 expression node i restores electricity in period t, yi,t=0 represents node i in the period
T does not restore electricity;
Constraints includes:
Node voltage is constrained, and formula is:
Umin≤Ui.t≤Umax (4)
In formula (4), Ui,tFor node i period t magnitude of voltage, UminFor the lower voltage limit of node i, UmaxFor the electricity of node i
The pressure upper limit;
Power-balance constraint, formula is:
In formula (5), Pi,tFor the active power that node i is injected in period t, Qi,tFor the idle work(that node i is injected in period t
Rate, GijFor the conductance between node i, j, BijFor the susceptance between node i, j, δij,tIt is node i, j in period t voltage phase angle
Difference, n is that system node is total, Ui,tFor node i period t voltage magnitude, Uj,tFor node j period t voltage magnitude;
Branch power is constrained, and formula is:
Pij.t≤Pijmax (6)
In formula (6), Pij,tFor branch road between node i and node j period t active power value, Pij maxFor node i and node
The active power of branch road allows maximum between j;
Power distribution network radiation operation is constrained, and formula is:
g∈G (7)
In formula (7), g is the network topology structure after reconstruct, and G is the set of the radial topological structure of network.
Preferably, the optimal solution of the distribution network failure Restoration model is obtained using ant group algorithm, and by the power distribution network
The optimal solution of fault recovery model is used as distribution network failure recovery scheme.
It is preferably, described to optimize the distribution network failure recovery scheme using the second distribution network failure recovery time,
Including:
If the first distribution network failure recovery time z1With the second distribution network failure recovery time z2Meet:z1> z2, then it is uncomfortable
The whole distribution network failure recovery scheme;
If the first distribution network failure recovery time z1With the second distribution network failure recovery time z2Meet:z1< z2, then with institute
State the second distribution network failure recovery time z2For distribution network failure recovery time, to the second distribution network failure recovery time z2
Each period carry out distribution network failure Restoration model constraints checking, if the second distribution network failure recovery time z2
Each period be satisfied by the constraints of distribution network failure Restoration model, then by the electrical network of the distribution network failure recovery scheme
Failure recovery time is adjusted to the second distribution network failure recovery time z2If, the second distribution network failure recovery time z2
Presence is unsatisfactory for the time period of the constraints of distribution network failure Restoration model, then to the electricity of the distribution network failure recovery scheme
Web frame carries out cutting load, until the second distribution network failure recovery time z2To be satisfied by distribution network failure extensive each period
Answer the constraints of model and the electric network fault recovery time of the distribution network failure recovery scheme is adjusted into described second and match somebody with somebody
Electric network fault recovery time z2。
One kind considers the probabilistic distribution network failure recovery device of failure recovery time, and it is theed improvement is that, described
Device includes:
Acquisition module, for according to the probability density function of distribution network failure recovery time, the probability being obtained respectively close
The optimum distribution network failure recovery times of degree two of function and the probability of described two optimum distribution network failure recovery times, i.e., the
One distribution network failure recovery time and its probability and the second distribution network failure recovery time and its probability, wherein, described first matches somebody with somebody
Probability of the probability of electric network fault recovery time more than the second distribution network failure recovery time;
Creation module, for setting up distribution network failure Restoration model using the first distribution network failure recovery time, and
Using the optimal solution of the distribution network failure Restoration model as distribution network failure recovery scheme;
Optimization module, for optimizing the distribution network failure recovery side using the second distribution network failure recovery time
Case.
Preferably, the first distribution network failure recovery time and its probability and the are determined using Wasserstein distances
Two distribution network failure recovery times and its probability.
Further, the acquisition module includes:
First acquisition unit, for making the quantile S=of the probability density function of the distribution network failure recovery time
2, solve following formula (1) and obtain the first distribution network failure recovery time z respectively1With the second distribution network failure recovery time z2:
In formula (1), g (t) for distribution network failure recovery time probability density function, s ∈ [1, S], r is exponent number.
Second acquisition unit, for (2) as the following formula the first distribution network failure recovery time z is obtained respectively1Probability p1
With the second distribution network failure recovery time z2Probability p2:
Preferably, in the creation module, including:
Creating unit, for being object function to the maximum to recover distribution network restoration important load total electricity, formula is:
In formula (3), FmainFor the important load total electricity that major network recovers in the failure period to non-faulting dead electricity region, z1For
Fault correction time, n is that system node is total, λiFor the significance level of load in node i, Li,tIt is node i bearing in period t
Lotus size, yi,tFor state change parameter, yi,t=1 expression node i restores electricity in period t, yi,t=0 represents node i in the period
T does not restore electricity;
Constraints includes:
Node voltage is constrained, and formula is:
Umin≤Ui.t≤Umax (4)
In formula (4), Ui,tFor node i period t magnitude of voltage, UminFor the lower voltage limit of node i, UmaxFor the electricity of node i
The pressure upper limit;
Power-balance constraint, formula is:
In formula (5), Pi,tFor the active power that node i is injected in period t, Qi,tFor the idle work(that node i is injected in period t
Rate, GijFor the conductance between node i, j, BijFor the susceptance between node i, j, δij,tIt is node i, j in period t voltage phase angle
Difference, n is that system node is total, Ui,tFor node i period t voltage magnitude, Uj,tFor node j period t voltage magnitude;
Branch power is constrained, and formula is:
Pij.t≤Pijmax (6)
In formula (6), Pij,tFor branch road between node i and node j period t active power value, Pij maxFor node i and node
The active power of branch road allows maximum between j;
Power distribution network radiation operation is constrained, and formula is:
g∈G (7)
In formula (7), g is the network topology structure after reconstruct, and G is the set of the radial topological structure of network.
Preferably, the optimal solution of the distribution network failure Restoration model is obtained using ant group algorithm, and by the power distribution network
The optimal solution of fault recovery model is used as distribution network failure recovery scheme.
Preferably, the optimization module, including:
First optimization unit, if for the first distribution network failure recovery time z1With the second distribution network failure recovery time z2
Meet:z1> z2, then the distribution network failure recovery scheme is not adjusted;
Second optimization unit, if for the first distribution network failure recovery time z1With the second distribution network failure recovery time z2
Meet:z1< z2, then with the second distribution network failure recovery time z2For distribution network failure recovery time, match somebody with somebody to described second
Electric network fault recovery time z2Each period carry out distribution network failure Restoration model constraints checking, if described second matches somebody with somebody
Electric network fault recovery time z2Each period be satisfied by the constraints of distribution network failure Restoration model, then by the power distribution network
The electric network fault recovery time of fault recovery scheme is adjusted to the second distribution network failure recovery time z2If described second matches somebody with somebody
Electric network fault recovery time z2Presence is unsatisfactory for the time period of the constraints of distribution network failure Restoration model, then to the distribution
The electric network composition of net fault recovery scheme carries out cutting load, until the second distribution network failure recovery time z2Each period
When being satisfied by the constraints of distribution network failure Restoration model and recovering the electric network fault of the distribution network failure recovery scheme
Between be adjusted to the second distribution network failure recovery time z2。
Beneficial effects of the present invention:
In prior art, there is uncertainty in the failure recovery time of power distribution network, one kind that the present invention is provided considers failure
Recovery time probabilistic distribution network failure restoration methods, in the case of known fault repair time probability density function,
By probability function carry out precision it is discrete, the failure recovery time of two kinds of maximum probabilities can be obtained, be easy to according to power distribution network
Physical fault situation, formulates fault recovery scheme, meanwhile, according to the failure recovery time of two kinds of different probabilities, formulate respectively excellent
Change scheme and amendment scheme, after power distribution network breaks down, are first carried out prioritization scheme, by being tracked to fault message,
The length of failure judgement recovery time, and fault recovery scheme is adjusted in time, it is possible to reduce the action frequency of switch, extend switch
Life-span, and maximum fault recovery is realized, improve the economy and reliability of distribution network operation.
Description of the drawings
Fig. 1 is a kind of flow chart for considering the probabilistic distribution network failure restoration methods of failure recovery time of the present invention;
Fig. 2 is that one kind considers that the probabilistic distribution network failure restoration methods of failure recovery time should in the embodiment of the present invention
Use schematic diagram of a scenario;
Fig. 3 is a kind of structural representation for considering the probabilistic distribution network failure recovery device of failure recovery time of the present invention
Figure.
Specific embodiment
The specific embodiment of the present invention is elaborated below in conjunction with the accompanying drawings.
To make purpose, technical scheme and the advantage of the embodiment of the present invention clearer, below in conjunction with the embodiment of the present invention
In accompanying drawing, the technical scheme in the embodiment of the present invention is clearly and completely described, it is clear that described embodiment is
The a part of embodiment of the present invention, rather than the embodiment of whole.Based on the embodiment in the present invention, those of ordinary skill in the art
The all other embodiment obtained under the premise of creative work is not made, belongs to the scope of protection of the invention.
The probabilistic distribution network failure restoration methods of a kind of consideration failure recovery time that the present invention is provided, such as Fig. 1 institutes
Show, including:
101., according to the probability density function of distribution network failure recovery time, obtain respectively the two of the probability density function
Individual optimum distribution network failure recovery time and the probability of described two optimum distribution network failure recovery times, i.e. the first power distribution network event
Barrier recovery time and its probability and the second distribution network failure recovery time and its probability, wherein, first distribution network failure is extensive
Probability of the probability of multiple time more than the second distribution network failure recovery time;
Wherein it is possible to the probability according to the mean repair time of the distribution system acquisition distribution network failure recovery time is close
Degree function;
102. set up distribution network failure Restoration model using the first distribution network failure recovery time, and by the distribution
The optimal solution of net fault recovery model is used as distribution network failure recovery scheme;
103. optimize the distribution network failure recovery scheme using the second distribution network failure recovery time.
Specifically, in the step 101, when determining that first distribution network failure recovers using Wasserstein distances
Between and its probability and the second distribution network failure recovery time and its probability.
Specifically include:The quantile S=2 of the probability density function of the distribution network failure recovery time is made, under solution
Formula (1) obtains respectively the first distribution network failure recovery time z1With the second distribution network failure recovery time z2:
In formula (1), g (t) for distribution network failure recovery time probability density function, s ∈ [1, S], r is exponent number.
As the following formula (2) obtain respectively the first distribution network failure recovery time z1Probability p1With second power distribution network
Failure recovery time z2Probability p2:
It is described to set up distribution network failure recovery mould using the first distribution network failure recovery time in the step 102
Type, including:
It is object function to the maximum to recover distribution network restoration important load total electricity, formula is:
In formula (3), FmainFor the important load total electricity that major network recovers in the failure period to non-faulting dead electricity region, z1For
Fault correction time, n is that system node is total, λiFor the significance level of load in node i, Li,tIt is node i bearing in period t
Lotus size, yi,tFor state change parameter, yi,t=1 expression node i restores electricity in period t, yi,t=0 represents node i in the period
T does not restore electricity;
Constraints includes:
Node voltage is constrained, and formula is:
Umin≤Ui.t≤Umax (4)
In formula (4), Ui,tFor node i period t magnitude of voltage, UminFor the lower voltage limit of node i, UmaxFor the electricity of node i
The pressure upper limit;
Power-balance constraint, formula is:
In formula (5), Pi,tFor the active power that node i is injected in period t, Qi,tFor the idle work(that node i is injected in period t
Rate, GijFor the conductance between node i, j, BijFor the susceptance between node i, j, δij,tIt is node i, j in period t voltage phase angle
Difference, n is that system node is total, Ui,tFor node i period t voltage magnitude, Uj,tFor node j period t voltage magnitude;
Branch power is constrained, and formula is:
Pij.t≤Pijmax (6)
In formula (6), Pij,tFor branch road between node i and node j period t active power value, Pij maxFor node i and node
The active power of branch road allows maximum between j;
Power distribution network radiation operation is constrained, and formula is:
g∈G (7)
In formula (7), g is the network topology structure after reconstruct, and G is the set of the radial topological structure of network.
Further, in the step 102, the optimum of the distribution network failure Restoration model is obtained using ant group algorithm
Solution, and using the optimal solution of the distribution network failure Restoration model as distribution network failure recovery scheme.
At present, the technology using ant group algorithm formulation distribution network failure recovery scheme is more ripe, and the present invention is effective
Solve the network reconfiguration optimization problem restored electricity after distribution network failure, it is to avoid occur a large amount of infeasible solutions in search procedure, adopt
The fault recovery of major network, and the switch shape according to service restoration ability to non-faulting area are completed with the ant group algorithm for being based on spanning tree
State combination carries out optimizing.
Ant group algorithm is a kind of optimizing search method similar to Evolution of Population, and its essence is that ant can be in the path passed through
Upper release pheromone comes identification path, exchange information, and the pheromone concentration retained on the shorter path in path in same time is got over
Height, ant finds shorter path further according to pheromone concentration on path, by the way that with such a positive feedback mechanism, ant colony can
Soon to search for the path of optimum, the pheromone concentration in the path also can highest.
For example:The present invention provides the optimal solution that a kind of employing ant group algorithm obtains the distribution network failure Restoration model, and
Using the optimal solution of the distribution network failure Restoration model as distribution network failure recovery scheme specific implementation process, including:
Ant utilizes spanning tree strategy, generates a kind of feasible radial networks;
Load flow calculation is carried out to current network;
If result of calculation is unsatisfactory for the constraints of distribution network failure Restoration model, cutting load operation is carried out;
Iteration, until meeting end condition.
Specifically, for the radiativity feature of power distribution network, the weight after power distribution network network failure is solved using ant group algorithm
All it is radiation using network topology after the failure corresponding to " distance of swimming " each time that spanning tree strategy completes ant during structure problem
Type, it is to avoid radiation type checking and repair process, it is ensured that per generation be feasible solution, improve the search efficiency of algorithm, and to ant
The routing rule of group's algorithm and pheromone update strategy are improved, and accelerate convergence rate.
Using the block switch and interconnection switch of power distribution network as figure nonoriented edge ei(i=1,2 ... m), the load on circuit
The node v of pie graphj(j=1,2 ... n), and power supply point is used as root node v0, then power distribution network can be described as a non-directed graph G, nothing
Numbering to figure G nodes is expressed as vj(j=1,2 ... n).Should using the net based structures matrix A branch description of a n rows n row
Non-directed graph G, wherein n are the number of system node, i.e.,
Wherein, if there is switch to be connected between node i and j, aij=aji=1, and remaining element is 0.
Again for example, as shown in Fig. 2 by taking the network shown in Fig. 2 as an example, solid line represents the block switch of closure, dotted line is represented
The interconnection switch of disconnection, then:
It is equivalent to power distribution network by taking ant k as an example according to the principle of spanning tree after obtaining the net based structures matrix of power distribution network
Into non-directed graph G define three below set and two sequences:
(1) each branch road correspondence adjacent node set Anode={ bv, it is the section adjacent with the row node serial number per row element
Period, wherein adjacent node matrix is by taking network shown in Fig. 2 as an example:
(2) ant k has selected node set Endnode={ bi, the node serial number being up to the present selected into is recorded, its
Middle vi∈G;
(3) the optional node set Choosenode={ b of ant kw, under current state, can be with selected in unselected node
For the node set of next paths.
(4) branch road selects sequence Lij(i, j=1,2 ..., n), record has selected branch road 0.
(5) vertex ticks sequence Mi(i=1,2 ..., n), whether flag node is as the minor details of a certain bar branch road
Point, is to remember 1, otherwise remembers 0.
Using the search strategy of random spanning tree, by taking power distribution network shown in Fig. 2 as an example, with reference to above three set and two sequences
Row, instruct ant to generate the feasible solution for meeting topological constraints, and step is as follows:
(1) initial network topology description:All nodes and switch are numbered, the non-directed graph G after numbering is generated, are obtained
Abranch matrixes.
(2) initialize:Set Anode, Endnode, Choosenode and sequence M that algorithm is used are seti, ant is put
In head end power supply node, then Endnode={ 1 }, Choosenode={ 2 }, MkElement for (1,0,0,0,0).
(3) Path selection:Every ant selects a node y according to certain rule from Choosenode set.
(4) record branch road and select sequence Lij:Record current procedures under branch road first and last node i be Endnode in y phases
The point of association, end-node j is the point y selected from Choosenode.
(5) set and sequence amendment:(a).Endnode:Newly-increased selected node y;(b).Choosenode:New set element
Element corresponding to y rows in Anode matrixes, and node has been selected in deletion.Network amendment to generating:First and last node to branch road
Check and correction, has selected interstitial content plus 1, by MiIn the node correspondence position mark 1 this time chosen, by the branch road minor details in initial network
The corresponding load of point is added in the branch road end-node.If now Choosenode=Φ and MiIn have been labeled as 1 node total number
Less than number of network node, then M is now foundiIn for 0 node serial number X as selected node, and in Endnode select and X
First node of the associated point as branch road.
(6) until selecting circuitry number to reach till node keeps count of, being so far generated as one can for circulation step (3)-(5)
Row solution.Then load is added into respective nodes, obtains a kind of feasible radial net in new network structure, i.e. above-mentioned steps
Network.The route searching of current ant terminates.
Wherein, initial time in above-mentioned steps, ant k (k=1,2 ..., Nant, Nant be per generation ant number) fortune
Trend is determined according to the pheromone concentration on each paths during dynamic, therefore the general of optional path is determined using pheromone concentration
Rate, the probability in the pheromones accumulation more more options path is also bigger on a certain path.Ant k is transferred to branch road j's by branch road i
Probability is:
In formula:allowkRepresent the set of ant next step optional path;τijIt is transferred to branch road j's by branch road i for ant
Pheromone concentration, ηijExpression is transferred to the visibility (η in path (i, j)ij=1/zij), zijRepresent the impedance magnitude of the circuit;α
It is the pheromones significance level factor and the visibility significance level factor with β, α reflects the pheromones that ant accumulates in motion process
Effect played in ant motion;β represents the relative importance of visibility.
Branch road selects rule:Every ant is advised when transfer path is selected in gathering from Choosenode using roulette
Then.First, comparative sequences are constructed:x1=p (1), x2=x1+ p (2) ..., xm=xm-1+ p (m), p (i) are according to formula (3-
10) calculated branch road transition probability, m is optional path number, to currently on all of its neighbor alternative path in routing footpath
Transition probability carry out standardization process, with xmOn the basis of be worth, x is ensured after process1< x2< ... < xm∈ (0,1), finally produce
Random number rand ∈ (0,1), select rule:
In formula, Next is the branch road that this ant is chosen.
Initial time, it is believed that pheromone concentration is identical on each paths, with τij (0)=C initializes each routing information element, and (C is
One little constant).τijFor the pheromone concentration that ant is transferred to branch road j by branch road i, as j=i, τiiRepresent initial by branch road i
(branch road i must connect power supply point), pheromone concentration on i branch roads during searching route.
Complete to be needed to Pheromone update on branch road after an ant colony iteration.If all ants are stayed on branch road
Pheromones have all added up and have been used as correction, then pheromones can tend to average and be absorbed in random search, be unfavorable in colony most
Positive role of the excellent solution to pheromones.Therefore, through the route searching of generation Nant ant, comparative analysis Nant kind approach,
Wherein optimal path (optimum network configuration structure) is obtained, completes to record all paths in optimal path after generation circulation, i.e.,
Pheromones on corresponding path, according to the sequencing of its travels along path, are updated successively by optimum distribution network structure,
Mainly include two aspects:The volatilization of pheromones and pheromones are adjusted.While ant finds path, release pheromone, road
Pheromones As time goes on slowly " can volatilize " on footpath, and following formula first halfs have imitated this process, ρ (0 < ρ <
1) it is pheromones degree of volatility, reflects the pheromone concentration retained in volatilization rear path:
τij(t+1)=(1- ρ) τij(t)+Δτij(t)
In formula:ΔτijIt is that ant is transferred to the pheromone concentration increment of branch road j by branch road i in per generation in optimal path,
Continuous accumulating information element, improves convergence of algorithm speed on preferred path, wherein:
In formula, Q is a constant, and reflecting pheromones strengthens degree, fbestFor all nets that generation Nant ant generates
Object function maximum, B in network structurebestFor the set of fingers in the optimum network structure.
Complete after an ant colony iteration using the optimizing mode of following global optimum:The optimal solution that each iteration is obtained
Best1 is saved as, it is compared with optimal solution Best0 that last time obtains, wherein will save as Best0 compared with the superior.Each iteration
Repeat, required optimal solution is obtained when the condition of convergence is met.After Pheromone update and optimal solution preservation is completed, under entrance
Ant colony iteration, until meeting the condition of convergence, that is, obtains the fault recovery result of optimum.
In the step 103, including:
If the first distribution network failure recovery time z1With the second distribution network failure recovery time z2Meet:z1> z2, then it is uncomfortable
The whole distribution network failure recovery scheme;
If the first distribution network failure recovery time z1With the second distribution network failure recovery time z2Meet:z1< z2, then with institute
State the second distribution network failure recovery time z2For distribution network failure recovery time, to the second distribution network failure recovery time z2
Each period carry out distribution network failure Restoration model constraints checking, if the second distribution network failure recovery time z2
Each period be satisfied by the constraints of distribution network failure Restoration model, then by the electrical network of the distribution network failure recovery scheme
Failure recovery time is adjusted to the second distribution network failure recovery time z2If, the second distribution network failure recovery time z2
Presence is unsatisfactory for the time period of the constraints of distribution network failure Restoration model, then to the electricity of the distribution network failure recovery scheme
Web frame carries out cutting load, until the second distribution network failure recovery time z2To be satisfied by distribution network failure extensive each period
Answer the constraints of model and the electric network fault recovery time of the distribution network failure recovery scheme is adjusted into described second and match somebody with somebody
Electric network fault recovery time z2。
One kind considers the probabilistic distribution network failure recovery device of failure recovery time, as shown in figure 3, described device bag
Include:
Acquisition module, for according to the probability density function of distribution network failure recovery time, the probability being obtained respectively close
The optimum distribution network failure recovery times of degree two of function and the probability of described two optimum distribution network failure recovery times, i.e., the
One distribution network failure recovery time and its probability and the second distribution network failure recovery time and its probability, wherein, described first matches somebody with somebody
Probability of the probability of electric network fault recovery time more than the second distribution network failure recovery time;
Wherein, the first distribution network failure recovery time and its probability and second are determined using Wasserstein distances
Distribution network failure recovery time and its probability.
Creation module, for setting up distribution network failure Restoration model using the first distribution network failure recovery time, and
Using the optimal solution of the distribution network failure Restoration model as distribution network failure recovery scheme;
Wherein, the optimal solution of the distribution network failure Restoration model is obtained using ant group algorithm, and the power distribution network is former
The optimal solution of barrier Restoration model is used as distribution network failure recovery scheme.
Optimization module, for optimizing the distribution network failure recovery side using the second distribution network failure recovery time
Case.
Further, the acquisition module includes:
First acquisition unit, for making the quantile S=of the probability density function of the distribution network failure recovery time
2, solve following formula (1) and obtain the first distribution network failure recovery time z respectively1With the second distribution network failure recovery time z2:
In formula (1), g (t) for distribution network failure recovery time probability density function, s ∈ [1, S], r is exponent number.
Second acquisition unit, for (2) as the following formula the first distribution network failure recovery time z is obtained respectively1Probability p1
With the second distribution network failure recovery time z2Probability p2:
Preferably, in the creation module, including:
Creating unit, for being object function to the maximum to recover distribution network restoration important load total electricity, formula is:
In formula (3), FmainFor the important load total electricity that major network recovers in the failure period to non-faulting dead electricity region, z1For
Fault correction time, n is that system node is total, λiFor the significance level of load in node i, Li,tIt is node i bearing in period t
Lotus size, yi,tFor state change parameter, yi,t=1 expression node i restores electricity in period t, yi,t=0 represents node i in the period
T does not restore electricity;
Constraints includes:
Node voltage is constrained, and formula is:
Umin≤Ui.t≤Umax (4)
In formula (4), Ui,tFor node i period t magnitude of voltage, UminFor the lower voltage limit of node i, UmaxFor the electricity of node i
The pressure upper limit;
Power-balance constraint, formula is:
In formula (5), Pi,tFor the active power that node i is injected in period t, Qi,tFor the idle work(that node i is injected in period t
Rate, GijFor the conductance between node i, j, BijFor the susceptance between node i, j, δij,tIt is node i, j in period t voltage phase angle
Difference, n is that system node is total, Ui,tFor node i period t voltage magnitude, Uj,tFor node j period t voltage magnitude;
Branch power is constrained, and formula is:
Pij.t≤Pijmax (6)
In formula (6), Pij,tFor branch road between node i and node j period t active power value, Pij maxFor node i and node
The active power of branch road allows maximum between j;
Power distribution network radiation operation is constrained, and formula is:
g∈G (7)
In formula (7), g is the network topology structure after reconstruct, and G is the set of the radial topological structure of network.
The optimization module, including:
First optimization unit, if for the first distribution network failure recovery time z1With the second distribution network failure recovery time z2
Meet:z1> z2, then the distribution network failure recovery scheme is not adjusted;
Second optimization unit, if for the first distribution network failure recovery time z1With the second distribution network failure recovery time z2
Meet:z1< z2, then with the second distribution network failure recovery time z2For distribution network failure recovery time, match somebody with somebody to described second
Electric network fault recovery time z2Each period carry out distribution network failure Restoration model constraints checking, if described second matches somebody with somebody
Electric network fault recovery time z2Each period be satisfied by the constraints of distribution network failure Restoration model, then by the power distribution network
The electric network fault recovery time of fault recovery scheme is adjusted to the second distribution network failure recovery time z2If described second matches somebody with somebody
Electric network fault recovery time z2Presence is unsatisfactory for the time period of the constraints of distribution network failure Restoration model, then to the distribution
The electric network composition of net fault recovery scheme carries out cutting load, until the second distribution network failure recovery time z2Each period
When being satisfied by the constraints of distribution network failure Restoration model and recovering the electric network fault of the distribution network failure recovery scheme
Between be adjusted to the second distribution network failure recovery time z2。
Finally it should be noted that:Above example is most only to illustrate technical scheme rather than a limitation
Pipe has been described in detail with reference to above-described embodiment to the present invention, and those of ordinary skill in the art should be understood:Still
The specific embodiment of the present invention can be modified or equivalent, and without departing from any of spirit and scope of the invention
Modification or equivalent, it all should cover within the claims of the present invention.
Claims (12)
1. it is a kind of to consider the probabilistic distribution network failure restoration methods of failure recovery time, it is characterised in that methods described bag
Include:
According to the probability density function of distribution network failure recovery time, two optimums that the probability density function is obtained respectively are matched somebody with somebody
Electric network fault recovery time and the probability of described two optimum distribution network failure recovery times, i.e. when the first distribution network failure recovers
Between and its probability and the second distribution network failure recovery time and its probability, wherein, the first distribution network failure recovery time
Probability of the probability more than the second distribution network failure recovery time;
Distribution network failure Restoration model is set up using the first distribution network failure recovery time, and the distribution network failure is extensive
The optimal solution of multiple model is used as distribution network failure recovery scheme;
Optimize the distribution network failure recovery scheme using the second distribution network failure recovery time.
2. the method for claim 1, it is characterised in that the first distribution network failure recovery time and its probability and
Two distribution network failure recovery times and its probability are determined using Wasserstein distances.
3. method as claimed in claim 2, it is characterised in that make the probability density function of the distribution network failure recovery time
Quantile S=2, solve following formula (1) obtain the first distribution network failure recovery time z respectively1With the event of the second power distribution network
Barrier recovery time z2:
In formula (1), g (t) for distribution network failure recovery time probability density function, s ∈ [1, S], r is exponent number;
As the following formula (2) obtain respectively the first distribution network failure recovery time z1Probability p1With second distribution network failure
Recovery time z2Probability p2:
4. the method for claim 1, it is characterised in that described to be set up using the first distribution network failure recovery time
Distribution network failure Restoration model, including:
It is object function to the maximum to recover distribution network restoration important load total electricity, formula is:
In formula (3), FmainFor the important load total electricity that major network recovers in the failure period to non-faulting dead electricity region, z1For failure
Repair time, n is that system node is total, λiFor the significance level of load in node i, Li,tIt is big in the load of period t for node i
It is little, yi,tFor state change parameter, yi,t=1 expression node i restores electricity in period t, yi,t=0 represents node i in period t not
Restore electricity;
Constraints includes:
Node voltage is constrained, and formula is:
Umin≤Ui.t≤Umax (4)
In formula (4), Ui,tFor node i period t magnitude of voltage, UminFor the lower voltage limit of node i, UmaxFor on the voltage of node i
Limit;
Power-balance constraint, formula is:
In formula (5), Pi,tFor the active power that node i is injected in period t, Qi,tFor the reactive power that node i is injected in period t,
GijFor the conductance between node i, j, BijFor the susceptance between node i, j, δij,tIt is node i, j in period t phase difference of voltage, n
For system node sum, Ui,tFor node i period t voltage magnitude, Uj,tFor node j period t voltage magnitude;
Branch power is constrained, and formula is:
Pij.t≤Pijmax (6)
In formula (6), Pij,tFor branch road between node i and node j period t active power value, Pij maxFor between node i and node j
The active power of branch road allows maximum;
Power distribution network radiation operation is constrained, and formula is:
g∈G (7)
In formula (7), g is the network topology structure after reconstruct, and G is the set of the radial topological structure of network.
5. the method for claim 1, it is characterised in that the distribution network failure Restoration model is obtained using ant group algorithm
Optimal solution, and using the optimal solution of the distribution network failure Restoration model as distribution network failure recovery scheme.
6. the method for claim 1, it is characterised in that described to be optimized using the second distribution network failure recovery time
The distribution network failure recovery scheme, including:
If the first distribution network failure recovery time z1With the second distribution network failure recovery time z2Meet:z1> z2, then institute is not adjusted
State distribution network failure recovery scheme;
If the first distribution network failure recovery time z1With the second distribution network failure recovery time z2Meet:z1< z2, then with described
Two distribution network failure recovery time z2For distribution network failure recovery time, to the second distribution network failure recovery time z2It is every
The individual period carries out the constraints checking of distribution network failure Restoration model, if the second distribution network failure recovery time z2It is every
The individual period is satisfied by the constraints of distribution network failure Restoration model, then by the electric network fault of the distribution network failure recovery scheme
Recovery time is adjusted to the second distribution network failure recovery time z2If, the second distribution network failure recovery time z2Exist
The time period of the constraints of distribution network failure Restoration model is unsatisfactory for, then the electrical network of the distribution network failure recovery scheme is tied
Structure carries out cutting load, until the second distribution network failure recovery time z2Each period be satisfied by distribution network failure recover mould
The electric network fault recovery time of the distribution network failure recovery scheme is simultaneously adjusted to second power distribution network by the constraints of type
Failure recovery time z2。
7. it is a kind of to consider the probabilistic distribution network failure recovery device of failure recovery time, it is characterised in that described device bag
Include:
Acquisition module, for according to the probability density function of distribution network failure recovery time, the probability density letter being obtained respectively
The optimum distribution network failure recovery time of several two and the probability of described two optimum distribution network failure recovery times, i.e., first matches somebody with somebody
Electric network fault recovery time and its probability and the second distribution network failure recovery time and its probability, wherein, first power distribution network
Probability of the probability of failure recovery time more than the second distribution network failure recovery time;
Creation module, for setting up distribution network failure Restoration model using the first distribution network failure recovery time, and by institute
The optimal solution of distribution network failure Restoration model is stated as distribution network failure recovery scheme;
Optimization module, for optimizing the distribution network failure recovery scheme using the second distribution network failure recovery time.
8. device as claimed in claim 7, it is characterised in that determine first power distribution network using Wasserstein distances
Failure recovery time and its probability and the second distribution network failure recovery time and its probability.
9. device as claimed in claim 8, it is characterised in that the acquisition module includes:
First acquisition unit, for making the quantile S=2 of the probability density function of the distribution network failure recovery time, asks
Solution following formula (1) obtains respectively the first distribution network failure recovery time z1With the second distribution network failure recovery time z2:
In formula (1), g (t) for distribution network failure recovery time probability density function, s ∈ [1, S], r is exponent number;
Second acquisition unit, for (2) as the following formula the first distribution network failure recovery time z is obtained respectively1Probability p1And institute
State the second distribution network failure recovery time z2Probability p2:
10. device as claimed in claim 7, it is characterised in that in the creation module, including:
Creating unit, for being object function to the maximum to recover distribution network restoration important load total electricity, formula is:
In formula (3), FmainFor the important load total electricity that major network recovers in the failure period to non-faulting dead electricity region, z1For failure
Repair time, n is that system node is total, λiFor the significance level of load in node i, Li,tIt is big in the load of period t for node i
It is little, yi,tFor state change parameter, yi,t=1 expression node i restores electricity in period t, yi,t=0 represents node i in period t not
Restore electricity;
Constraints includes:
Node voltage is constrained, and formula is:
Umin≤Ui.t≤Umax (4)
In formula (4), Ui,tFor node i period t magnitude of voltage, UminFor the lower voltage limit of node i, UmaxFor on the voltage of node i
Limit;
Power-balance constraint, formula is:
In formula (5), Pi,tFor the active power that node i is injected in period t, Qi,tFor the reactive power that node i is injected in period t,
GijFor the conductance between node i, j, BijFor the susceptance between node i, j, δij,tIt is node i, j in period t phase difference of voltage, n
For system node sum, Ui,tFor node i period t voltage magnitude, Uj,tFor node j period t voltage magnitude;
Branch power is constrained, and formula is:
Pij.t≤Pijmax (6)
In formula (6), Pij,tFor branch road between node i and node j period t active power value, Pij maxFor between node i and node j
The active power of branch road allows maximum;
Power distribution network radiation operation is constrained, and formula is:
g∈G (7)
In formula (7), g is the network topology structure after reconstruct, and G is the set of the radial topological structure of network.
11. devices as claimed in claim 7, it is characterised in that the distribution network failure is obtained using ant group algorithm and recovers mould
The optimal solution of type, and using the optimal solution of the distribution network failure Restoration model as distribution network failure recovery scheme.
12. devices as claimed in claim 7, it is characterised in that the optimization module, including:
First optimization unit, if for the first distribution network failure recovery time z1With the second distribution network failure recovery time z2Meet:
z1> z2, then the distribution network failure recovery scheme is not adjusted;
Second optimization unit, if for the first distribution network failure recovery time z1With the second distribution network failure recovery time z2Meet:
z1< z2, then with the second distribution network failure recovery time z2For distribution network failure recovery time, to second power distribution network therefore
Barrier recovery time z2Each period carry out distribution network failure Restoration model constraints checking, if second power distribution network therefore
Barrier recovery time z2Each period be satisfied by the constraints of distribution network failure Restoration model, then it is the distribution network failure is extensive
The electric network fault recovery time of compound case is adjusted to the second distribution network failure recovery time z2If, the second power distribution network event
Barrier recovery time z2Presence is unsatisfactory for the time period of the constraints of distribution network failure Restoration model, then to the distribution network failure
The electric network composition of recovery scheme carries out cutting load, until the second distribution network failure recovery time z2Each period be satisfied by
The constraints of distribution network failure Restoration model simultaneously adjusts the electric network fault recovery time of the distribution network failure recovery scheme
For the second distribution network failure recovery time z2。
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