CN107017618A - A kind of active power distribution network division of the power supply area method and device - Google Patents
A kind of active power distribution network division of the power supply area method and device Download PDFInfo
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Abstract
The present invention relates to a kind of active power distribution network division of the power supply area method and device, methods described includes：The initial power supply zone of power distribution network is obtained using fuzzy clustering algorithm；Set up power supply area object function and its constraints；Fit subregion is merged into by initial power supply zone and with there is the initial power supply zone that is connected of switch between it, and determines using power supply area object function and its constraints the optimization of region scheme of the fit subregion；The optimization of region scheme of power supply area is determined according to the optimization of region scheme of fit subregion；The technical scheme that the present invention is provided, using the basic model of partition zone optimizing, net assessment, obtains rational network partition structure, simplifies the switching manipulation of network, improve the operational efficiency of power distribution network.
Description
Technical field
The present invention relates to distribution network operation control field, and in particular to a kind of active power distribution network division of the power supply area method and
Device.
Background technology
Power distribution network division of the power supply area is a key issue of distribution network planning, and its result directly affects distribution network operation
Economy and power supply reliability.Rational power configuration and network structure can be with the power supply reliabilities of power distribution network and power supply matter
Amount, reduction via net loss, for realizing that the economy and reliability of distribution network operation are significant.
For the division of the power supply area of power distribution network, what Zhang Xinchang, Zhang Xiangan were delivered《Distribution web area based on generalized node
Control is divided》One text, from the angle that the centralized differential protection of power distribution network is better achieved, the method that have studied power distribution network subregion.
Proposition changes into power distribution network on the network of the generalized node of cum rights, and then the angle from graph theory is abstract to power distribution network progress, according to
Topological structure between each generalized node carries out subregion.
On the one hand existing division of the power supply area method mainly concentrates planning and the division of the power supply area to transformer station；It is another
Aspect, existing research method has some limitations.Traditional algorithm is only applicable to small to ensure that the calculating time meets requirement
The division of the power supply area problem of scale；Artificial intelligence approach makes power supply area work have new progress, but intelligent optimization algorithm
It is single using there is convergence rate compared with deficiencies such as slow, the poor, Premature Convergences of optimizing ability.The addition of distributed power source to match somebody with somebody
The structure of power network is more complicated, it is therefore necessary to explore it is a kind of be applied to complicated active power distribution network division of the power supply area it is quick,
High efficiency method, the structure to power distribution network simplifies, and improves the economy and reliability of distribution network operation.
The content of the invention
The present invention provides a kind of active power distribution network division of the power supply area method and device, the purpose is to using partition zone optimizing,
The basic model of net assessment, obtains rational network partition structure, simplifies the switching manipulation of network, improves the operation of power distribution network
Efficiency.
The purpose of the present invention is realized using following technical proposals：
A kind of active power distribution network division of the power supply area method, it is theed improvement is that, including：
The initial power supply zone of power distribution network is obtained using fuzzy clustering algorithm；
Set up power supply area object function and its constraints；
The initial power supply zone being connected by initial power supply zone and with there is switch between it merges into fit subregion, and profit
The optimization of region scheme of the fit subregion is determined with power supply area object function and its constraints；
The optimization of region scheme of power supply area is determined according to the optimization of region scheme of fit subregion.
It is preferred that, the utilization fuzzy clustering algorithm obtains the initial power supply zone of power distribution network, including：
Main feeder headend node in establishing power network is j, and node is i, j ∈ [1, m], and i ∈ [1, n], m is main feeder number
Mesh, n is nodes；
Clusters number c=m is set, determines each node to the equivalent electrical distance of m main feeder headend node respectively；
Using m main feeder headend node as cluster centre, by minimum of each load bus according to equivalent electrical distance
Value cluster, m initial power supply zones are divided into by power distribution network.
Further, when node i is load bus, power distribution network interior joint i and main feeder headend node j is determined as the following formula
Between equivalent electrical distance Dij：
Dij=Ploadi×Lij
In formula, PloadiFor load bus i active power, LijFor distance of the node i away from main feeder headend node j；
It is equivalent between determination power distribution network interior joint i and main feeder headend node j as the following formula when node i is DG nodes
Electrical distance Dij：
Dij=(- PDGi)×Lij
In above formula, PDGiFor the active power of DG node is.
Further, it is described that power distribution network is divided into after m initial power supply zones, including：It is equal by main feeder load factor
The criterion that weighs adjustment node-home, is specifically included：
The Rate of average load of m initial power supply zones is obtained respectively；
In the initial power supply zone higher than the 15% of Rate of average load, by equivalent electrical distance most long node distribution extremely
Less than in the initial power supply zone of Rate of average load, until the Rate of average load of m initial power supply zones is not higher than average negative
The 15% of load rate.
It is preferred that, it is described to set up power supply area object function and its constraints, including：
Power supply area object function is set up as the following formula：
In above formula, f1Optimize the overall operational cost in the period, f for power distribution network2For the load unbalanced degree in the optimization period, f3
To optimize the maximum voltage deviation sum in the period,For period t electricity price,The power for being power distribution network in period t is damaged
Consumption, Δ t is the time interval of each period, and T is that, by the time small hop count of optimization Time segments division, N is branch road sum, cswiTo open
Close the expense of operation once, sjiIt is the switch on branch road j in period i state, sji=0 represents to disconnect, sji=1 represents closure,Branch road j apparent energy, S are flowed through for time segment tj maxFor branch road j peak power,For time segment t nodes k electricity
Pressure, VNFor node rated voltage, NrFor node set, α1、α2And α3Respectively the first proportionality coefficient, the second proportionality coefficient and the 3rd
Proportionality coefficient；
Power supply area bound for objective function, including：
Node voltage is constrained, and formula is：
Vmin≤Vk≤Vmax
In above formula, Vmin、VmaxRespectively node voltage bound, VkFor node k voltage；
Power-balance constraint, formula is：
In above formula, Pi、QiActive power and reactive power that respectively node i is injected, Gij、Bij、δijIt is followed successively by node i, j
Between conductance, susceptance and phase difference of voltage, n be system node sum；Vi、VjRespectively node i, j voltage magnitude；
Branch power is constrained, and formula is：
In above formula, PjFor branch road j active power value,Allow maximum for branch road j active power；
Power distribution network radiation operation is constrained, and formula is：
g∈G
In above formula, g is completes the set of the network topology structure after division of the power supply area, and G is the radial topology knot of network
The set of structure；
Switch motion count constraint, formula is：
In above formula, Wj maxFor the maximum actuation number of times of single switch, WmaxFor the maximum actuation number of times of all switches, M is each
Subregion branch road sum, N is branch road sum.
It is preferred that, the initial power supply zone being connected by initial power supply zone and with there is switch between it is merged into
Body subregion, and the optimization of region scheme of the fit subregion is determined using power supply area object function and its constraints, including：
The initial power supply zone k for having switch to be connected with initial power supply zone i is obtained, initial power supply zone i and remaining is kept
On off state between power supply zone is constant, only closes whole switches between initial power supply zone i and initial power supply zone k, obtains
Take initial power supply zone i and initial power supply zone k fit subregion；
The optimal solution of the power supply area object function of fit subregion is determined using ant group algorithm, and regard the optimal solution as this
The prioritization scheme of fit subregion.
It is preferred that, the optimization of region scheme according to fit subregion determines the optimization of region scheme of power supply area, including：
The corresponding x groups prioritization scheme of each fit subregion is obtained, whole prioritization schemes combination is optimized into, until whole
The power supply area object function of power supply area is minimum.
A kind of active power distribution network division of the power supply area device, it is theed improvement is that, described device includes：
Division module is clustered, the initial power supply zone for obtaining power distribution network using fuzzy clustering algorithm；
Module is set up, for setting up power supply area object function and its constraints；
First determining module, the initial power supply zone for being connected by initial power supply zone and with there is switch between it is closed
And be fit subregion, and determine using power supply area object function and its constraints the optimization of region scheme of the fit subregion；
Second determining module, the optimization of region side for determining power supply area according to the optimization of region scheme of fit subregion
Case.
It is preferred that, the cluster division module, including：
Distance determining unit, is j for the main feeder headend node in establishing power network, node is i, j ∈ [1, m], i ∈
[1, n], m is main feeder number, and n is nodes；Clusters number c=m is set, determines each node to m main feeder head end respectively
The equivalent electrical distance of node；
Cluster zoning unit, for using m main feeder headend node as cluster centre, by each load bus according to etc.
The minimum value cluster of electrical distance is imitated, power distribution network is divided into m initial power supply zones.
Further, the cluster division module also includes：
Acquiring unit is loaded, for being divided into power distribution network after m initial power supply zones, m is obtained respectively individual initial
The Rate of average load of power supply zone；
Load Balance Unit, in the initial power supply zone higher than the 15% of Rate of average load, by it is equivalent electrically away from
From most long node distribution into less than the initial power supply zone of Rate of average load, until the individual initial power supply zones of m is average negative
Load rate is not higher than the 15% of Rate of average load.
Beneficial effects of the present invention：
The technical scheme that the present invention is provided, under optimization period and corresponding load level, establishes to optimize in the period
Minimum, the total load unbalanced degree of total operating cost is minimum, each period maximum voltage stability index sum is minimum, network is damaged
The multiple target dynamic power region division model that minimum object function is set up is consumed, is asked using coevolution ant group algorithm
Solution, can improve the network structure performance of subnet and the whole network, reach reduction power distribution network operating cost, improve node voltage skew,
The purposes such as overload are eliminated, the economy and reliability of distribution network operation is improved, realizes the sustainable development of power distribution network.Meanwhile, this
The technical scheme that invention is provided uses for reference the thought of composition decomposition, is one by complicated active power distribution network division of the power supply area PROBLEM DECOMPOSITION
The sub- optimization problem that series is connected each other, each subregion is interacted by common system model, common evolutionary, so that entirely
The continuous evolution of system, is finally reached solution purpose, and solving existing algorithm, to calculate search time long, the problem of Premature Convergence.
Brief description of the drawings
Fig. 1 is a kind of flow chart of active power distribution network division of the power supply area method of the invention；
Fig. 2 is a kind of flow chart of active power distribution network division of the power supply area method in the embodiment of the present invention；
Fig. 3 is a kind of structural representation of active power distribution network division of the power supply area device of the invention.
Embodiment
The embodiment to the present invention elaborates below in conjunction with the accompanying drawings.
To make the purpose, technical scheme and 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
A part of embodiment of the present invention, rather than whole embodiments.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 division of the power supply area of power distribution network is the key link for realizing Topological expansion, and its result, which is directly affected, does not send a telegram here
Electric grid investment, performance driving economy and power supply reliability of Force system etc., the research in the field under the new situation are faced with more
Difficult and challenge.The present invention proposes a kind of active power distribution network division of the power supply area method, using partition zone optimizing, net assessment
Basic model, obtains rational network partition structure, simplifies the switching manipulation of network, improves the operational efficiency of power distribution network, such as Fig. 1
It is shown, including：
101. the initial power supply zone of power distribution network is obtained using fuzzy clustering algorithm；
102. set up power supply area object function and its constraints；
103. the initial power supply zone being connected by initial power supply zone and with there is switch between it merges into fit subregion,
And the optimization of region scheme of the fit subregion is determined using power supply area object function and its constraints；
104. the optimization of region scheme of power supply area is determined according to the optimization of region scheme of fit subregion.
Specifically, the present invention can generate the initial confession tentatively optimized using the initial power supply subnet of fuzzy clustering algorithm generation
Electric subregion, is conducive to improving coevolution efficiency, can more accurately reflect electric power networks load using equivalent electrical distance
Electric connecting relation between node and main feeder headend node.Obtain after equivalent electrical distance, using fuzzy clustering algorithm to
Power network carries out initial division of the power supply area.Using main feeder as cluster centre, on the basis of ensureing each main feeder load factor in a balanced way,
A power supply area will be merged into certain main feeder electrical distance is near, electric position difference is small load bus, you can obtain
Initial division of the power supply area scheme, the step 101, including：
Main feeder headend node in establishing power network is j, and node is i, j ∈ [1, m], and i ∈ [1, n], m is main feeder number
Mesh, n is nodes；
Clusters number c=m is set, determines each node to the equivalent electrical distance of m main feeder headend node respectively；
Using m main feeder headend node as cluster centre, by minimum of each load bus according to equivalent electrical distance
Value cluster, m initial power supply zones are divided into by power distribution network.
Wherein, when node i is load bus, as the following formula between determination power distribution network interior joint i and main feeder headend node j
Equivalent electrical distance Dij：
Dij=Ploadi×Lij
In formula, PloadiFor load bus i active power, LijFor distance of the node i away from main feeder headend node j；
It is equivalent between determination power distribution network interior joint i and main feeder headend node j as the following formula when node i is DG nodes
Electrical distance Dij：
Dij=(- PDGi)×Lij
In above formula, PDGiFor the active power of DG node is.
Also include in described be divided into power distribution network after the initial power supply zones of m：By main feeder load factor equalization criterion
Node-home is adjusted, is specifically included：
The Rate of average load of m initial power supply zones is obtained respectively；
In the initial power supply zone higher than the 15% of Rate of average load, by equivalent electrical distance most long node distribution extremely
Less than in the initial power supply zone of Rate of average load, until the Rate of average load of m initial power supply zones is not higher than average negative
The 15% of load rate.
In the step 102, under optimization period and corresponding load level, to optimize operating cost total in the period most
Total load unbalanced degree is minimum in small, the optimization period, it is minimum to optimize each period maximum voltage stability index sum in the period
Multiple target dynamic power region division model is set up for object function, including：
Power supply area object function is set up as the following formula：
In above formula, f1Optimize the overall operational cost in the period, f for power distribution network2For the load unbalanced degree in the optimization period, f3
To optimize the maximum voltage deviation sum in the period,For period t electricity price,The power for being power distribution network in period t is damaged
Consumption, Δ t is the time interval of each period, and T is that, by the time small hop count of optimization Time segments division, N is that branch road sum and node are total
Number, cswiFor the expense of switching manipulation once, sjiIt is the switch on branch road j in period i state, sji=0 represents to disconnect, sji=
1 represents closure,Branch road j apparent energy, S are flowed through for time segment tj maxFor branch road j peak power,It is small for the time
Section t nodes k voltage, VNFor node rated voltage, NrFor node set, α1、α2And α3Respectively the first proportionality coefficient, the second ratio
Example coefficient and the 3rd proportionality coefficient；
Power supply area bound for objective function, including：
Node voltage is constrained, and formula is：
Vmin≤Vk≤Vmax
In above formula, Vmin、VmaxRespectively node voltage bound, VkFor node k voltage；
Power-balance constraint, formula is：
In above formula, Pi、QiActive power and reactive power that respectively node i is injected, Gij、Bij、δijIt is followed successively by node i, j
Between conductance, susceptance and phase difference of voltage, n be system node sum；Vi、VjRespectively node i, j voltage magnitude；
Branch power is constrained, and formula is：
In above formula, PjFor branch road j active power value,Allow maximum for branch road j active power；
Power distribution network radiation operation is constrained, and formula is：
g∈G
In above formula, g is completes the set of the network topology structure after division of the power supply area, and G is the radial topology knot of network
The set of structure；
Switch motion count constraint, formula is：
In above formula, Wj maxFor the maximum actuation number of times of single switch, WmaxFor the maximum actuation number of times of all switches, M is each
Subregion branch road sum, N is branch road sum.
Set up after power supply area object function and its constraints, the step 103, including：
The initial power supply zone k for having switch to be connected with initial power supply zone i is obtained, initial power supply zone i and remaining is kept
On off state between power supply zone is constant, only closes whole switches between initial power supply zone i and initial power supply zone k, obtains
Take initial power supply zone i and initial power supply zone k fit subregion；
The optimal solution of the power supply area object function of fit subregion is determined using ant group algorithm, and regard the optimal solution as this
The prioritization scheme of fit subregion.
At present, more ripe using the technology of ant group algorithm formulation distribution network failure recovery scheme, the present invention is effective
Solve the partitioning problem again between subnet, it is to avoid infeasible solution is produced in searching process, the optimization efficiency of algorithm is reduced, by life
It is combined into tree strategy with ant group algorithm, it is ensured that the path that every ant passes through all corresponds to radial network structure.Spanning tree
Strategy is it is possible to prevente effectively from radial inspection and repair process to network, it is ensured that the path that per generation produces is feasible solution, is carried
High convergence of algorithm speed and search efficiency.
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 of process
The pheromone concentration that upper release pheromone to retain on the shorter path in path in identification path, exchange information, same time is got over
Height, ant finds shorter path further according to pheromone concentration on path, and by using such a positive feedback mechanism, ant colony can
Soon to search for optimal path, the pheromone concentration in the path also can highest.
For example：The present invention determines the optimal solution of the power supply area object function of fit subregion using ant group algorithm, and should
Optimal solution as the fit subregion prioritization scheme, including：
For the radiativity feature of power distribution network, when solving power distribution network partitioning problem using ant group algorithm, using generation
Tree strategy makes network topology after the failure each time corresponding to " distance of swimming " that ant completes all be radial pattern, it is to avoid radial pattern
Check and repair process, it is ensured that per generation is feasible solution, improve the search efficiency of algorithm, and to the routing of ant group algorithm rule and
Pheromone update strategy is improved, and accelerates convergence rate.
Power distribution network is described as a non-directed graph G, the nonoriented edge e as figure is switchedi(i=1,2 ... m), the node v of figurej(j
=1,2 ... n) are made up of the load of node, and power supply point is used as root node v0, the numbering of non-directed graph G interior joints is expressed as vj(j=1,
2…n).Non-directed graph G is described using the net based structures matrix A branch of a n rows n row, wherein n is the dimension of matrix, with being
The number of branches of system is identical, i.e.,
Wherein, if there is switch to be connected between node i and j, aij=aji=1, and remaining element is 0.
For another 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 the net based structures matrix for obtaining 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, it can be chosen in unselected node
For the node set of next paths.
(4) branch road selection sequence Lij(i, j=1,2 ..., n), record have 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 generation to meet the feasible solution of topological constraints, and step is as follows：
(1) initial network topology is described：All nodes and switch are numbered, the non-directed graph G after generation numbering is obtained
Abranch matrixes.
(2) initialize：Set Anode, Endnode, the Choosenode and sequence M for setting algorithm to usei, ant is put
In head end power supply node, then Endnode={ 1 }, Choosenode={ 2 }, MkElement is (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 selection 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
For the element corresponding to y rows in Anode matrixes, and delete and selected node.Network amendment to generation：To the first and last node of 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 of this 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 selection and X
Associated point as branch road first node.
(6) circulation step (3)-(5) just generate one untill having selected circuitry number to reach that node keeps count of, so far can
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 often for 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
The probability in the pheromones accumulation more more options path is also bigger on rate, 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, the pheromones that α reflection ants accumulate in motion process with β
Effect played in ant moves；β represents the relative importance of visibility.
Branch road selection rule：Every ant is when selecting transfer path using roulette rule in gathering from Choosenode
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) obtained branch road transition probability is calculated, m is optional path number, to currently on all of its neighbor alternative path in routing footpath
Transition probability carry out standardization processing, with xmOn the basis of be worth, ensure x after processing1＜ x2＜ ... ＜ xm∈ (0,1), is finally produced
Random number rand ∈ (0,1), selection 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, withInitializing each routing information element, (C is
One small constant).τijBranch road j pheromone concentration is transferred to by branch road i for ant, as j=i, τiiRepresentative is originated by branch road i
Pheromone concentration on (branch road i must connect power supply point), i branch roads during searching route.
Needed after completing an ant colony iteration to Pheromone update on branch road.If all ants are passed through into what is left on branch road
Pheromones, which have all added up, is used as correction, then pheromones can tend to be average and be absorbed in random search, be unfavorable in colony most
Positive role of the excellent solution to pheromones.Therefore, by the route searching of Nant ant of a generation, comparative analysis Nant kind approach,
Wherein optimal path (optimal network configuration structure) is obtained, all paths in optimal path are recorded after completing generation circulation, i.e.,
Pheromones on corresponding path, according to the sequencing of its travels along path, are updated by optimal distribution network structure successively,
It is main to include two aspects：The volatilization of pheromones and pheromones adjustment.While ant finds path, release pheromone, road
Pheromones slowly " can volatilize " over time 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：ΔτijFor in optimal path in per generation, ant is transferred to branch road j pheromone concentration increment by branch road i,
Continuous accumulating information element, improves convergence of algorithm speed on preferred path, wherein：
In formula, Q is a constant, reflects pheromones enhancing degree, fbestFor all nets of Nant ant generation of a generation
Object function maximum, B in network structurebestFor the set of fingers in the optimum network structure.
Complete the optimizing mode using following global optimum after an ant colony iteration：The optimal solution that each iteration is obtained
Best1 is saved as, the optimal solution Best0 that itself and last time obtain is compared, wherein Best0 will be saved as compared with the superior.Each iteration
Repeat, required optimal solution is obtained when meeting the condition of convergence.After Pheromone update and optimal solution preservation is completed, under
Ant colony iteration, until meeting the condition of convergence, that is, obtains optimal fit partition zone optimizing scheme.
It is determined that after the optimization of region scheme of fit subregion, service area need to be determined according to the optimization of region scheme of fit subregion
The optimization of region scheme in domain, therefore, the step 104, including：
The corresponding x groups prioritization scheme of each fit subregion is obtained, whole prioritization schemes combination is optimized into, until whole
The power supply area object function of power supply area is minimum.
Wherein, x=3 is a kind of feasible embodiment；
For another example the present invention provides a kind of embodiment of active power distribution network division of the power supply area method, as shown in Fig. 2 being
Goal of the invention is reached, the present invention generates initial power supply zone using fuzzy clustering algorithm first；Then using operable switch as
State variable, the multiple target division of the power supply area model set up in subregion, is optimized using ant group algorithm；By respective interior
Portion is evolved and cooperated, and each subregion is optimized, adjusted one by one, after evaluation process, completes a coevolution process；By
Coevolution, constantly improves the fitness of whole system model to be optimized, specifically includes repeatedly：
Step 1：Input the essential informations such as load value, network initial fabric, each branch impedance of network, setting subnet number i
=1, the whole network iterative parameter n=1；
Step 2：Initial division of the power supply area scheme is formed using fuzzy clustering algorithm, m initial subnet is obtained；
Step 3：The subnet k for having switch to be connected with subnet i is found, and optimizes the switch between i-k；
Step 4：If i<M, then make subnet i=i+1, return to step 3；Otherwise, step 5 is continued；
Step 5：Each zoarium subregion generates three kinds of optimal partition schemes, and all partition schemes are optimized into combination,
The fitness value of every kind of the whole network partition scheme is calculated respectively, obtains the subregion that the optimal scheme of object function is n-th optimization
As a result；
Step 6：Iterative cycles, until the (n+1)th subzone result is consistent with n-th division result, obtain final power supply
Region division result.
Based on same inventive concept, the present invention also provides a kind of active power distribution network division of the power supply area device, such as Fig. 3 institutes
Show, described device includes：
Division module is clustered, the initial power supply zone for obtaining power distribution network using fuzzy clustering algorithm；
Module is set up, for setting up power supply area object function and its constraints；
First determining module, the initial power supply zone for being connected by initial power supply zone and with there is switch between it is closed
And be fit subregion, and determine using power supply area object function and its constraints the optimization of region scheme of the fit subregion；
Second determining module, the optimization of region side for determining power supply area according to the optimization of region scheme of fit subregion
Case.
The cluster division module, including：
Distance determining unit, is j for the main feeder headend node in establishing power network, node is i, j ∈ [1, m], i ∈
[1, n], m is main feeder number, and n is nodes；Clusters number c=m is set, determines each node to m main feeder head end respectively
The equivalent electrical distance of node；
Cluster zoning unit, for using m main feeder headend node as cluster centre, by each load bus according to etc.
The minimum value cluster of electrical distance is imitated, power distribution network is divided into m initial power supply zones.
When node i be load bus when, as the following formula determine power distribution network interior joint i and main feeder headend node j between etc.
Imitate electrical distance Dij：
Dij=Ploadi×Lij
In formula, PloadiFor load bus i active power, LijFor distance of the node i away from main feeder headend node j；
It is equivalent between determination power distribution network interior joint i and main feeder headend node j as the following formula when node i is DG nodes
Electrical distance Dij：
Dij=(- PDGi)×Lij
In above formula, PDGiFor the active power of DG node is.
It is described that power distribution network is divided into after m initial power supply zones, it need to adjust and save by main feeder load factor equalization criterion
Point ownership, therefore, the cluster division module also include：
Acquiring unit is loaded, for being divided into power distribution network after m initial power supply zones, m is obtained respectively individual initial
The Rate of average load of power supply zone；
Load Balance Unit, in the initial power supply zone higher than the 15% of Rate of average load, by it is equivalent electrically away from
From most long node distribution into less than the initial power supply zone of Rate of average load, until the individual initial power supply zones of m is average negative
Load rate is not higher than the 15% of Rate of average load.
It is described to set up module, including：
Power supply area object function is set up as the following formula：
In above formula, f1Optimize the overall operational cost in the period, f for power distribution network2For the load unbalanced degree in the optimization period, f3
To optimize the maximum voltage deviation sum in the period,For period t electricity price,The power for being power distribution network in period t is damaged
Consumption, Δ t be each period time interval, T be by optimize Time segments division time small hop count, N, K be respectively branch road sum and
Node total number, cswiFor the expense of switching manipulation once, sjiIt is the switch on branch road j in period i state, sji=0 represents disconnected
Open, sji=1 represents closure,Branch road j apparent energy, S are flowed through for time segment tj maxFor branch road j peak power,For
Time segment t nodes k voltage, VNFor node rated voltage, NrFor node set；
Power supply area bound for objective function, including：
Node voltage is constrained, and formula is：
Vmin≤Vk≤Vmax
In above formula, Vmin、VmaxRespectively node voltage bound, VkFor node k voltage；
Power-balance constraint, formula is：
In above formula, Pi、QiActive power and reactive power that respectively node i is injected, Gij、Bij、δijIt is followed successively by node i, j
Between conductance, susceptance and phase difference of voltage, n be system node sum；Vi、VjRespectively node i, j voltage magnitude；
Branch power is constrained, and formula is：
In above formula, PjFor branch road j active power value,Allow maximum for branch road j active power；
Power distribution network radiation operation is constrained, and formula is：
g∈G
In above formula, g is completes the set of the network topology structure after division of the power supply area, and G is the radial topology knot of network
The set of structure；
Switch motion count constraint, formula is：
In above formula, Wj maxFor the maximum actuation number of times of single switch, WmaxFor the maximum actuation number of times of all switches, M is each
Subregion branch road sum, N is branch road sum.
First determining module, including：
The initial power supply zone k for having switch to be connected with initial power supply zone i is obtained, initial power supply zone i and remaining is kept
On off state between power supply zone is constant, only closes whole switches between initial power supply zone i and initial power supply zone k, obtains
Take initial power supply zone i and initial power supply zone k fit subregion；
The optimal solution of the power supply area object function of fit subregion is determined using ant group algorithm, and regard the optimal solution as this
The prioritization scheme of fit subregion.
Second determining module, including：
The corresponding x groups prioritization scheme of each fit subregion is obtained, whole prioritization schemes combination is optimized into, until whole
The power supply area object function of power supply area is minimum.
It should be understood by those skilled in the art that, embodiments herein can be provided as method, system or computer program
Product.Therefore, the application can be using the reality in terms of complete hardware embodiment, complete software embodiment or combination software and hardware
Apply the form of example.Moreover, the application can be used in one or more computers for wherein including computer usable program code
The computer program production that usable storage medium is implemented on (including but is not limited to magnetic disk storage, CD-ROM, optical memory etc.)
The form of product.
The application is the flow with reference to method, equipment (system) and computer program product according to the embodiment of the present application
Figure and/or block diagram are described.It should be understood that can be by every first-class in computer program instructions implementation process figure and/or block diagram
Journey and/or the flow in square frame and flow chart and/or block diagram and/or the combination of square frame.These computer programs can be provided
The processor of all-purpose computer, special-purpose computer, Embedded Processor or other programmable data processing devices is instructed to produce
A raw machine so that produced by the instruction of computer or the computing device of other programmable data processing devices for real
The device for the function of being specified in present one flow of flow chart or one square frame of multiple flows and/or block diagram or multiple square frames.
These computer program instructions, which may be alternatively stored in, can guide computer or other programmable data processing devices with spy
Determine in the computer-readable memory that mode works so that the instruction being stored in the computer-readable memory, which is produced, to be included referring to
Make the manufacture of device, the command device realize in one flow of flow chart or multiple flows and/or one square frame of block diagram or
The function of being specified in multiple square frames.
These computer program instructions can be also loaded into computer or other programmable data processing devices so that in meter
Series of operation steps is performed on calculation machine or other programmable devices to produce computer implemented processing, thus in computer or
The instruction performed on other programmable devices is provided for realizing in one flow of flow chart or multiple flows and/or block diagram one
The step of function of being specified in individual square frame or multiple square frames.
Finally it should be noted that：The above embodiments are merely illustrative of the technical scheme of the present invention and are not intended to be limiting thereof, to the greatest extent
The present invention is described in detail with reference to above-described embodiment for pipe, those of ordinary skills in the art should understand that：Still
The embodiment of the present invention can be modified or equivalent substitution, and without departing from any of spirit and scope of the invention
Modification or equivalent substitution, it all should cover within the claims of the present invention.
Claims (10)
1. a kind of active power distribution network division of the power supply area method, it is characterised in that methods described includes：
The initial power supply zone of power distribution network is obtained using fuzzy clustering algorithm；
Set up power supply area object function and its constraints；
The initial power supply zone being connected by initial power supply zone and with there is switch between it merges into fit subregion, and utilizes confession
Electric regional aim function and its constraints determine the optimization of region scheme of the fit subregion；
The optimization of region scheme of power supply area is determined according to the optimization of region scheme of fit subregion.
2. the method as described in claim 1, it is characterised in that the utilization fuzzy clustering algorithm obtains the initial power supply of power distribution network
Subregion, including：
Main feeder headend node in establishing power network is j, and node is i, j ∈ [1, m], and i ∈ [1, n], m is main feeder number, and n is
Nodes；
Clusters number c=m is set, determines each node to the equivalent electrical distance of m main feeder headend node respectively；
Using m main feeder headend node as cluster centre, each load bus is gathered according to the minimum value of equivalent electrical distance
Class, m initial power supply zones are divided into by power distribution network.
3. method as claimed in claim 2, it is characterised in that when node i is load bus, determine as the following formula in power distribution network
Equivalent electrical distance D between node i and main feeder headend node jij：
Dij=Ploadi×Lij
In formula, PloadiFor load bus i active power, LijFor distance of the node i away from main feeder headend node j；
It is equivalent electric between determination power distribution network interior joint i and main feeder headend node j as the following formula when node i is DG nodes
Apart from Dij：
Dij=(- PDGi)×Lij
In above formula, PDGiFor the active power of DG node is.
4. method as claimed in claim 2, it is characterised in that described that power distribution network is divided into after m initial power supply zones,
Including：Node-home is adjusted by main feeder load factor equalization criterion, is specifically included：
The Rate of average load of m initial power supply zones is obtained respectively；
In the initial power supply zone higher than the 15% of Rate of average load, by equivalent electrical distance most long node distribution to being less than
In the initial power supply zone of Rate of average load, until the Rate of average load of m initial power supply zones is not higher than Rate of average load
15%.
5. the method as described in claim 1, it is characterised in that described to set up power supply area object function and its constraints,
Including：
Power supply area object function is set up as the following formula：
In above formula, f1Optimize the overall operational cost in the period, f for power distribution network2For the load unbalanced degree in the optimization period, f3To be excellent
Change the maximum voltage deviation sum in the period,For period t electricity price,For power attenuation of the power distribution network in period t, Δ t
For the time interval of each period, T is that, by the time small hop count of optimization Time segments division, N is branch road sum, cswiFor switching manipulation
Expense once, sjiIt is the switch on branch road j in period i state, sji=0 represents to disconnect, sji=1 represents closure,For when
Between segment t flow through branch road j apparent energy, Sj maxFor branch road j peak power,For time segment t nodes k voltage, VN
For node rated voltage, NrFor node set, α1、α2And α3Respectively the first proportionality coefficient, the second proportionality coefficient and the 3rd ratio
Coefficient；
Power supply area bound for objective function, including：
Node voltage is constrained, and formula is：
Vmin≤Vk≤Vmax
In above formula, Vmin、VmaxRespectively node voltage bound, VkFor node k voltage；
Power-balance constraint, formula is：
In above formula, Pi、QiActive power and reactive power that respectively node i is injected, Gij、Bij、δijIt is followed successively by between node i, j
Conductance, susceptance and phase difference of voltage, n be system node sum；Vi、VjRespectively node i, j voltage magnitude；
Branch power is constrained, and formula is：
Pj≤Pj max
In above formula, PjFor branch road j active power value, Pj maxAllow maximum for branch road j active power；
Power distribution network radiation operation is constrained, and formula is：
g∈G
In above formula, g is completes the set of the network topology structure after division of the power supply area, and G is the radial topological structure of network
Set；
Switch motion count constraint, formula is：
In above formula, Wj maxFor the maximum actuation number of times of single switch, WmaxFor the maximum actuation number of times of all switches, M is each subregion
Branch road sum, N is branch road sum.
6. the method as described in claim 1, it is characterised in that described to connect by initial power supply zone and with there is switch between it
The initial power supply zone connect merges into fit subregion, and determines the zoarium point using power supply area object function and its constraints
The optimization of region scheme in area, including：
The initial power supply zone k for having switch to be connected with initial power supply zone i is obtained, keeps initial power supply zone i to be powered with remaining
The on off state of by stages is constant, only closes whole switches between initial power supply zone i and initial power supply zone k, obtains just
Beginning power supply zone i and initial power supply zone k fit subregion；
The optimal solution of the power supply area object function of fit subregion is determined using ant group algorithm, and regard the optimal solution as the zoarium
The prioritization scheme of subregion.
7. the method as described in claim 1, it is characterised in that described to be determined to power according to the optimization of region scheme of fit subregion
The optimization of region scheme in region, including：
The corresponding x groups prioritization scheme of each fit subregion is obtained, whole prioritization schemes are optimized into combination, until whole power supply
The power supply area object function in region is minimum.
8. a kind of active power distribution network division of the power supply area device, it is characterised in that described device includes：
Division module is clustered, the initial power supply zone for obtaining power distribution network using fuzzy clustering algorithm；
Module is set up, for setting up power supply area object function and its constraints；
First determining module, the initial power supply zone for being connected by initial power supply zone and with there is switch between it is merged into
Fit subregion, and determine using power supply area object function and its constraints the optimization of region scheme of the fit subregion；
Second determining module, the optimization of region scheme for determining power supply area according to the optimization of region scheme of fit subregion.
9. device as claimed in claim 8, it is characterised in that the cluster division module, including：
Distance determining unit, is j for the main feeder headend node in establishing power network, and node is i, j ∈ [1, m], i ∈ [1, n],
M is main feeder number, and n is nodes；Clusters number c=m is set, determines each node to m main feeder headend node respectively
Equivalent electrical distance；
Zoning unit is clustered, for using m main feeder headend node as cluster centre, by each load bus according to equivalent electric
The minimum value cluster of gas distance, m initial power supply zones are divided into by power distribution network.
10. device as claimed in claim 9, it is characterised in that the cluster division module also includes：
Acquiring unit is loaded, for being divided into power distribution network after m initial power supply zones, m initial power supplies are obtained respectively
The Rate of average load of subregion；
Load Balance Unit, in the initial power supply zone higher than the 15% of Rate of average load, by equivalent electrical distance most
Long node distribution is into less than the initial power supply zone of Rate of average load, until the Rate of average load of m initial power supply zones
It is not higher than the 15% of Rate of average load.
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