CN109921420A - Elastic distribution network restoration power method for improving, device and terminal device - Google Patents

Elastic distribution network restoration power method for improving, device and terminal device Download PDF

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CN109921420A
CN109921420A CN201910300366.3A CN201910300366A CN109921420A CN 109921420 A CN109921420 A CN 109921420A CN 201910300366 A CN201910300366 A CN 201910300366A CN 109921420 A CN109921420 A CN 109921420A
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distribution network
power
loss
restoring force
route
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CN109921420B (en
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邵华
韩璟琳
王涛
陈志永
胡平
赵辉
王守相
王林
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Tianjin University
State Grid Corp of China SGCC
State Grid Hebei Electric Power Co Ltd
Economic and Technological Research Institute of State Grid Hebei Electric Power Co Ltd
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Tianjin University
State Grid Corp of China SGCC
State Grid Hebei Electric Power Co Ltd
Economic and Technological Research Institute of State Grid Hebei Electric Power Co Ltd
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Abstract

The invention belongs to Operation of Electric Systems and control technology field.A kind of elastic distribution network restoration power method for improving, device and terminal device are provided, which includes: to establish line loss analysis model;Establish elastic distribution network restoration force estimation model;The restoring force method for improving combined using shaft tower and expansion battery-exchange station capacity is reinforced, objective function is constructed with restoring force and economic cost, according to the line loss analysis model and elastic distribution network restoration force estimation model, elastic distribution network restoration power lifting scheme is obtained.The elasticity distribution network restoration power method for improving can be in certain economic limit, the significantly more efficient restoring force for improving elastic power distribution network.

Description

Elastic distribution network restoration power method for improving, device and terminal device
Technical field
The invention belongs to Operation of Electric Systems and control technology fields more particularly to a kind of elastic distribution network restoration power to be promoted Method, apparatus and terminal device.
Background technique
In recent years, extreme natural calamity is increasingly frequent, and the power supply of power grid is seriously damaged, and national economy is suffered huge Big economic loss, the elastic restoring force for how improving power distribution network become one of the key content of current research.Restoring force refers to system Disturbance event is resisted, is adapted to and the ability of fast quick-recovery, and has recuperative power grid and is known as elastic power grid.For elasticity The assessment of distribution network restoration power, existing research achievement are all conducted extensive research from evaluation index and appraisal procedure.But On going result seldom considers difference existing for power system restoration power under different costs of investment, suddenly when studying restoring force measure for improvement The economic factors for influencing power system restoration are omited.
Summary of the invention
In view of this, the embodiment of the invention provides a kind of elastic distribution network restoration power method for improving, device and terminals to set Standby, rationally taking restoring force method for improving to greatest extent in certain economic limit in the prior art with solution enhances the extensive of power grid The problem of multiple power.
The first aspect of the embodiment of the present invention provides a kind of elastic distribution network restoration power method for improving, comprising:
Establish line loss analysis model;
Establish elastic distribution network restoration force estimation model;
The restoring force method for improving combined using shaft tower and expansion battery-exchange station capacity is reinforced, with restoring force and economy Cost constructs objective function, according to the line loss analysis model and elastic distribution network restoration force estimation model, obtains elasticity Distribution network restoration power lifting scheme.
The second aspect of the embodiment of the present invention provides a kind of elastic distribution network restoration force lifting apparatus, comprising:
Line loss analysis model establishes module, for establishing line loss analysis model;
Restoring force assessment models establish module, for constructing elastic distribution network restoration force estimation model;
Analysis module, the restoring force method for improving for being combined using shaft tower and expansion battery-exchange station capacity is reinforced, Objective function is constructed with restoring force and economic cost, according to the line loss analysis model and elastic distribution network restoration force estimation Model obtains elastic distribution network restoration power lifting scheme.
The third aspect of the embodiment of the present invention provides a kind of terminal device, including memory, processor and is stored in In the memory, and the computer program that can be run on the processor, processor execute real when the computer program Now as described in relation to the first aspect elastic distribution network restoration power method for improving the step of.
The fourth aspect of the embodiment of the present invention provides a kind of computer readable storage medium, the computer-readable storage Media storage has computer program, and elastic power distribution network as described in relation to the first aspect is realized when the computer program is executed by processor The step of restoring force method for improving.
Existing beneficial effect is the embodiment of the present invention compared with prior art: the embodiment of the present invention fully considers economy Factor constructs objective function with restoring force and economic cost, according to the line loss analysis model and elastic distribution network restoration Force estimation model, reasonable distribution reinforces shaft tower and expands the cost of investment of two kinds of measures of battery-exchange station capacity, certain economical In range, the restoring force of elastic power distribution network is effectively raised.Meanwhile using reinforcing shaft tower and expanding battery-exchange station capacity phase In conjunction with restoring force method for improving, preferably played the advantage reinforced shaft tower and expand battery-exchange station capacity, save the cost keeps away Exempt from the wasting of resources, restoring force promotes index and takes a kind of method more preferable than single.
Detailed description of the invention
It to describe the technical solutions in the embodiments of the present invention more clearly, below will be to embodiment or description of the prior art Needed in attached drawing be briefly described, it should be apparent that, the accompanying drawings in the following description is only of the invention some Embodiment for those of ordinary skill in the art without any creative labor, can also be according to these Attached drawing obtains other attached drawings.
Fig. 1 is the implementation process schematic diagram of elastic distribution network restoration power method for improving provided in an embodiment of the present invention;
Fig. 2 is particle swarm optimization algorithm flow chart;
Fig. 3 is distribution network topology;
Fig. 4 is shaft tower loss probability figure;
Fig. 5 is battery-exchange station remaining power group number figure;
Fig. 6 is the schematic diagram of lifting device provided in an embodiment of the present invention;
Fig. 7 is the schematic diagram of terminal device provided in an embodiment of the present invention.
Specific embodiment
In being described below, for illustration and not for limitation, the tool of such as particular system structure, technology etc is proposed Body details, to understand thoroughly the embodiment of the present invention.However, it will be clear to one skilled in the art that there is no these specific The present invention also may be implemented in the other embodiments of details.In other situations, it omits to well-known system, device, electricity The detailed description of road and method, in case unnecessary details interferes description of the invention.
Description and claims of this specification and term " includes " and other any deformations in above-mentioned attached drawing are Refer to " including but not limited to ", it is intended that cover and non-exclusive include.Such as the process, method comprising a series of steps or units Or system, product or equipment are not limited to listed step or unit, but optionally further comprising the step of not listing Or unit, or optionally further comprising other step or units intrinsic for these process, methods, product or equipment.In addition, art Language " first ", " second " and " third " etc. is for distinguishing different objects, not for description particular order.
In order to illustrate technical solutions according to the invention, the following is a description of specific embodiments.
Embodiment 1:
Fig. 1 is the implementation process schematic diagram of elastic distribution network restoration power method for improving provided in an embodiment of the present invention, referring to Fig. 1, the elasticity distribution network restoration power method for improving may include:
Step S101 establishes line loss analysis model.
Wherein, line loss analysis model passes through meter for analyzing power network line damage situations under the natural calamities such as earthquake It calculates shaft tower and is damaged probability, determine route damage situations.
Optionally, the process that line loss analysis model is established in step S101 is as follows:
Under earthquake disaster, power grid destruction include shaft tower inclination, collapse and overhead transmission line broken string etc..At different location Earthquake motion it is related with hypocentral location and earthquake magnitude, with the increase of distance, earthquake ground motion acceleration is constantly decayed.Consider to influence Each factor of earthquake ground motion acceleration, each factor and acceleration relationship are as follows:
lg(αPGA)=a+bM-clg [R+dexp [eM]]+ε
Wherein, αPGAFor earthquake ground motion acceleration, M is earthquake magnitude, and R distance, ε is the random quantity with variances sigma, a, b, c, d and e It is preset constant.
The each shaft tower of elastic power distribution network normal use in earthquake is impacted, component surrender, structure yields and structure are fallen The corresponding earthquake damage level of institute collapse as limiting condition, quantizating index is L respectively1、L2、L3And L4, each under different earthquake grade The conditional probability that a shaft tower reaches damage and failures at different levels meets:
P(SiPGA)=P (Lmax>LiPGA)
Wherein, SiFor earthquake damage level state, LmaxIt is each shaft tower in earthquake ground motion acceleration αPGAWhen vertex maximum horizontal Displacement, LiIt (i=1,2,3,4) is each shaft tower tower top horizontal displacement limit value of otherwise limit state under each earthquake damage level.
Calculate the accumulated probability that each tower structure state of overstepping the extreme limit reaches each earthquake damage level:
ln(Lmax)=kln (αPGA)+g
Wherein, k and g is predetermined coefficient, σ LmaxLogarithm condition standard it is poor, μ is Poisson's coefficient.
Step S102 establishes elastic distribution network restoration force estimation model.
When extreme earthquake disaster occurs, power distribution network collapses due to shaft tower by different degrees of destruction, thus easily draws It sends out a certain range of and loses load phenomenon, how to restore more power loss loads and the sustainable operation for restoring load is maintained to become Study the important link of restoring force.For the recovery level for sufficiently studying power grid under earthquake disaster, elastic distribution network restoration power is established Assessment models.
Optionally, the process that elastic distribution network restoration force estimation model is established in step S102 is as follows:
Construct load restoration index frecWith recovery duration index fsus
Load restoration index is used to measure the recovery rate of loss region internal loading, and wherein critical load rises in recovery rate To vital effect.Load restoration index frecThe significance level for restoring load after consideration disaster calculates different crucial negative The recovery situation of lotus measures the restoring force of power distribution network after disaster.
Load restoration index frecAre as follows:
Wherein, NrecTo restore load bus number, NlossTotal loss load bus number is caused for disaster.ωrec,iWith ωloss,jFor node load weight, Prec,iIndicate the active power of recovery nodes i, Ploss,jFor the wattful power for losing load bus j Rate.
Since power grid reparation needs the regular hour, its continuous service is maintained to seem very necessary, restoring duration indicates After disaster according to isolated island divide loss region load restoration and maintain run situation.Restore duration index fsusIt is embodied in When providing to affected area for electric resources, can the time as much as possible that its power supply be maintained, while power is being supplied between it is logical greater than load When spending the shortest time that shaft tower reparation realization restores, illustrate that recovery duration is good, otherwise illustrates that duration needs further promoted.
Restore duration index fsusAre as follows:
Wherein, B is total loss regional ensemble,Runing time after restoring for region b,Pass through line for region b Repair the time for restoring to operate normally in road.
Thus it obtains, elastic distribution network restoration power index fsumAre as follows:
fsum=k1frec+k2fsus
Wherein, k1To construct load restoration index frecRelative to the weight coefficient of restoring force, k2Restore to continue for building Property index fsusWeight coefficient relative to restoring force.fsumWhole restoring force for measuring elastic power distribution network is horizontal.
Step S103, the restoring force method for improving combined using reinforcing shaft tower and expansion battery-exchange station capacity, with extensive Multiple power and economic cost construct objective function, according to the line loss analysis model and elastic distribution network restoration force estimation mould Type obtains elastic distribution network restoration power lifting scheme.
In certain economic limit, the measure for improvement of restoring force may include reinforcing shaft tower and expansion battery swap station battery Capacity.Shaft tower on route reinforce and can effectively improve the ability that shaft tower resists earthquake, reduce under earthquake disaster due to Collapsing for shaft tower and caused by line loss.But in order to maintain the effective operation for losing region load after earthquake, it is also necessary to increase Add emergency resources, guarantees the sustainable operation of load.At this point, electric car switching station remaining power participates in power system restoration, and not With the battery between electrical changing station the coordinative role between resource can be realized with flexible dispatching.
On the one hand, shaft tower reinforcing can effectively improve the ability that shaft tower resists earthquake, but expensive, need a large amount of manpower Material resources, and promote effect and there is certain constraint.On the other hand, a large amount of flexibilities can be provided by expanding battery-exchange station battery capacity Resource, but since the destruction of power grid under earthquake disaster has randomness, it is easy to cause battery-exchange station remaining power excessive, simultaneously The excessive maintenance expense that will lead to of battery-exchange station capacity steeply rises, and causes the serious waste of resource.The present embodiment uses reinforcing bar The restoring force method for improving that tower and expansion battery-exchange station capacity combine, can give full play to the advantage of two kinds of measures for improvement, The deficiency during load restoration is avoided simultaneously.
Optionally, objective function is constructed with restoring force and economic cost in step S103, is analyzed according to the line loss Model and elastic distribution network restoration force estimation model, obtain elastic distribution network restoration power lifting scheme, may include:
It is up to objective function with restoring force within the scope of default total investment, balanced with node voltage constraint, node power, Trend, the constraint of recovery load and the battery discharge of route are constraint condition, are matched according to the line loss analysis model and elasticity Power system restoration force estimation model, and combined objective function and constraint condition solve multi-objective problem, obtain elastic distribution Network recovery power lifting scheme.
It is horizontal for the restoring force of abundant analysing elastic power distribution network, the elastic distribution network restoration in certain economic limit will be studied The maximum value of power presets total investment Csum, objective function is up to restoring force within the scope of default total investment, is thus obtained Objective function:
Wherein, C1To reinforce the cost that shaft tower generates, C2To expand the cost that battery-exchange station capacity generates, CsumIt is default Total investment, k1To construct load restoration index frecRelative to the weight coefficient of restoring force, k2Restore duration for building to refer to Mark fsusRelative to the weight coefficient of restoring force, fsumFor elastic distribution network restoration power index.
It is that shaft tower reinforces n that the present embodiment restoring force lifting scheme, which is arranged, thus battery-exchange station capacity extensions m group obtains It arrives, reinforces the cost C that shaft tower generates1It can be with are as follows:
C1=n (cφ1Vφ1+cφ2Lφ2)
Wherein, n is to reinforce shaft tower quantity, cφ1For the cost coefficient of consolidated subsoil, cφ2For the cost system for reinforcing shaft tower material Number, Vφ1For the volume of consolidated subsoil, Lφ2For the increase length of shaft tower suspension column.
Expand the cost C that battery-exchange station capacity generates2It can be with are as follows:
C2=mC0
Wherein, m is battery-exchange station capacity extensions group number, C0For single battery group cost.
Reinforcing shaft tower and expanding the actual investment total value of battery-exchange station capacity is C1+C2
During solving elastic distribution network restoration power lifting scheme, it should be examined in addition to consider its target, while also Consider its constraint condition, is being constrained with node voltage, node power balance, the trend of route, restoring load constraint and battery discharge For constraint condition:
Wherein, Ui,minIndicate the minimum value of i-node voltage, Ui,maxIndicate the maximum value of i-node voltage, Pinp,iFor node Input active power, Qinp,iReactive power, P are inputted for nodeload,iAnd Qload,iFor node load consumption, Pline,jHave for route Function power, Qline,jFor route reactive power, Pline,i,maxFor the maximum power that route allows, Qline,i,maxAllow most for route Small-power;λ is 0 or 1, and λ is equal to 0 when route disconnects;Ω is the number of lines connecting with node i, Prec,iFor recovery nodes Active power, Ploss,jFor power loss node active power, NlossEntirely to lose region internal loading set, NrecFor entire loss area Restore load aggregation, SOC in domainiFor the discharge capacity of i-th of battery of t moment, TBatFor battery discharge time, ΩBatFor residue Schedulable battery number, M are exchange station battery sum, CsumTo preset total investment.
In some embodiments, particle swarm optimization algorithm can be used, is matched according to above-mentioned line loss analysis model and elasticity Power system restoration force estimation model, and combined objective function and constraint condition solve multi-objective problem, obtain elastic distribution Network recovery power lifting scheme.
Particle group optimizing (Particle Swarm Optimization, PSO) algorithm be Kennedy and Eberhart by The inspiration of artificial life result of study, by simulate flock of birds look for food during one kind proposed with clustering behavior of migrating be based on The global random searching algorithm of swarm intelligence, various organisms all have certain group behavior in nature, and artificial life Major research field first is that explore nature biotechnology group behavior, to construct its population model on computers.PSO It takes a hint from this model and for solving optimization problem.In PSO, the potential solution of each optimization problem is search space In a bird, referred to as particle.PSO is initialized as a group random particles (RANDOM SOLUTION), then finds optimal solution by iteration
As shown in Fig. 2, by particle swarm optimization algorithm, according to the line loss analysis model and elastic power distribution network Restoring force assessment models, and combined objective function and constraint condition solve multi-objective problem, may include:
The number of iterations, exchange station battery can be called a group number, total investment, particle position, particle rapidity defeated by step S201 Enter to particle swarm optimization algorithm model, carries out parameter setting.
Step S202 initializes initial population, determines the restoring force index of current maximum restoring force lifting scheme.
It initializes initial population and initializes a group random particles.The recovery of maximum restoring force lifting scheme is initialized simultaneously Power index, for one initial value of restoring force Distribution Indexes of maximum restoring force lifting scheme.
Step S203, according to the constraint condition C in objective function1+C2≤Csum, determine that one group of shaft tower reinforces quantity n and electricity Pond switching station capacity extensions group number m.
Meeting the constraint condition C in objective function1+C2≤CsumUnder, there are the combinations of multiple groups m and n, can be according to single bar Tower reinforcement cost and single group battery cost, are calculated the m and n for meeting constraint condition.
Step S204 reinforces quantity n and battery-exchange station according to currently determining shaft tower by line loss analysis model Capacity extensions quantity m determines loss line set and loss regional ensemble, repairs principle and exchange station battery according to loss route Dispatching principle repairs power grid, obtains current elastic distribution network restoration power index fsum
Determine that one group of shaft tower reinforces quantity n and battery-exchange station capacity extensions quantity m, according to the restoring force lifting scheme pair Shaft tower reinforce and expand battery-exchange station capacity.
Optionally, " by line loss analysis model, loss line set, loss region collection are determined in step S204 Close " may include:
The loss probability of each shaft tower of each route of elastic power distribution network is determined according to the line loss analysis model;
Roulette algorithm is taken, determines whether the corresponding route of each shaft tower is damaged according to the loss probability of each shaft tower;
Loss line set and loss regional ensemble are determined according to whether route is impaired.
After extreme earthquake disaster, in order to determine implement the restoring force lifting scheme after in power distribution network specific route loss feelings Condition determines the loss probability of each shaft tower of each route according to line loss analysis model, due to the bar of different loss probabilities Tower causes line loss to have randomness, and the damage of any one shaft tower present in some route all will lead to the damage of this route It is bad, determine whether route damages using a kind of stochastic selection algorithm roulette algorithm, the more big then route damage of the loss probability of shaft tower A possibility that mistake, is bigger.Then, it according to line loss situation, determines and loses line set and loss region collection after disaster occurs It closes.
According to loss line set and loss regional ensemble, route is lost according to route weight reparation, is entirely lost The repair time in region is finally powered according to region significance level dispatching exchange station remaining power, this is thus calculated Current elasticity distribution network restoration power index f under restoring force lifting schemesum
Optionally, the loss route repair principle can be with are as follows: shaft tower is repaired according to the weight of loss route.This In embodiment, loss contour right of way weight are as follows:
Wherein, ζyFor the weight for losing route y, ByFor the regional ensemble that loss route y influences, B is entire loss region. Loss contour right of way is again bigger to illustrate that coverage is more extensive, and more early reparation grid loss is smaller, therefore according to loss contour right of way weight Impaired power grid is repaired.
Optionally, the switching station scheduling batteries principle can be with are as follows: is scheduled according to region significance level to battery.This In embodiment, region significance level are as follows:
Wherein, ωiFor the significance level of region i, NiFor region i internal loading quantity, wi,jFor region i internal loading j weight, Pi,jFor the active power of region i internal loading j.
Loss region is divided according to isolated island after earthquake disaster, if battery-exchange station is in the regional scope, battery swap The loss region stood where remaining power priority of supply.If loss region is not at, to the battery swap in unknown losses region It stands and dispatches battery, to guarantee that important load restores, by the high region of priority of supply significance level, according to region significance level, together When comprehensively consider the influence for repairing time ordered pair route repair time, battery is scheduled.
Step S205, will current elastic distribution network restoration power index fsumWith the recovery of current maximum restoring force lifting scheme Power index is made comparisons, if current elasticity distribution network restoration power index fsumGreater than the recovery of current maximum restoring force lifting scheme Power index, then will current elastic distribution network restoration power index fsumThe restoring force for being updated to current maximum restoring force lifting scheme refers to Mark, current elasticity distribution network restoration power index fsumCorresponding scheme is maximum restoring force lifting scheme.
Step S206 judges whether to meet default the number of iterations, repeats step S203 if being unsatisfactory for default the number of iterations To step S206, step S207 is turned to if meeting default the number of iterations.
Step S207 exports maximum restoring force lifting scheme and corresponding power grid maximum restoring force.
Thus it obtains within the scope of total investment, maximum restoring force lifting scheme.
It optionally, will be according to the significance level of power network line, i.e. route weight in order to guarantee that important load loss late is minimum Shaft tower on route is reinforced, guarantees that the preferential turnpike road that restores is powered.The weight of each route in elastic power distribution network are as follows:
Wherein, wiFor the load level weight of i-th of node, LiFor the load of i-th of node;NxiFor i route of xth The load aggregation of influence, wjFor the load level weight of j-th of node.LjFor the load of j-th of node, NtotalFor entire line The load aggregation on road.
The embodiment of the present invention is verified below by way of example of calculation.
The practical power distribution network for choosing 45, Hubei Province somewhere node is verified, and topological diagram is as shown in Figure 3.The line of power grid Road length is as shown in table 1, and load significance level is as shown in table 2.The power grid is respectively arranged with battery friendship at node 4,15 and 28 Station is changed, diesel generating set 1 and 2 is respectively acting on node 17 and 28.It chooses focus to be located at 7 direct north 25km of node, shake Grade is 6.5 grades.Default total investment is 300,000 yuan, and the power of diesel generating set 1 and 2 is 500kW.Battery-exchange station 1,2 and 3 Initial capacity is 100 groups of batteries, and every 2 batteries are one group, and each battery capacity is 30kW ˙ h, discharge power 6kW, electric discharge effect Rate is 1, and each battery cost is 1200 yuan.
1 feeder line segment length of table
Route Length/km Route Length/km Route Length/km
1 1.60 16 0.50 31 0.25
2 0.50 17 0.70 32 0.30
3 0.50 18 0.50 33 1.00
4 2.50 19 0.30 34 0.40
5 1.20 20 1.45 35 0.20
6 2.00 21 0.40 36 0.25
7 2.50 22 0.20 37 1.50
8 1.50 23 1.60 38 1.00
9 0.80 24 1.30 39 1.50
10 0.50 25 0.45 40 0.50
11 0.50 26 0.50 41 1.50
12 0.80 27 0.80 42 0.60
13 0.80 28 0.55 43 1.20
14 1.50 29 0.50 44 0.50
15 1.50 30 0.80
2 load level of table
Load level Weight Node
Level-one 0.6 2,4,5,8,9,12,13,17,20,21,27,28,31,32,34,35
Second level 0.3 3,6,7,11,14,15,16,18,24,25,30,37,39,40,42,44,45
Three-level 0.1 10,15,19,22,23,26,29,33,36,38,41,43
According to line loss analysis model, the loss probability curve for the shaft tower for obtaining different distance, such as Fig. 4 can analyze. It is related with apart from hypocentral distance to the destruction of power grid by analyzing the fading characteristics of earthquake peak acceleration, apart from focus position Nearest shaft tower is set by the maximum probability destroyed, the loss of shaft tower the failures such as breaks the appearance for causing respective lines.In order to Convenient for research, the influence according to the physical length of power grid and geographical location by earthquake to power grid is divided into 5 sections, different section packets The route and loss probability contained is as shown in table 3.Wherein, the selection of shaft tower will refer to " 35kV Distribution system design guide ", according to Selected area geographical feature, shaft tower will select angle steel tower and steel pipe pole herein.
3 line loss probability of table
Region Route Loss probability
1 6,7,8,26,38,39 0.65
2 4,5,9,10,27,28,29,30,40 0.52
3 11,12,13,25,31,32,33,34,41,42,44 0.40
4 2,3,14,18,19,20,21,22,23,24,35,36,37,43 0.30
5 1,15,16,17 0.20
When not taking restoring force measure for improvement, according to the loss probability of different zones route, obtained using roulette algorithm Due to shaft tower collapses and causes damages route in power grid are as follows: 6,7,9,20,25,26,28,37 and 44.Maintenance personal will be according to Route weight, preferentially repairs the shaft tower in important line, restores the big block supply of impacted range as early as possible.According to rule Fixed correcting strategy, influence of the more different maintenance orders to power system restoration power obtain the optimal reparation order of Liang Ge unit successively Are as follows: 6 → 7 → 9 → 44 → 20 → 25;6→7→26→28→37.
The remaining power group number change curve of certain representative cells switching station and remaining power energy storage changing rule such as Fig. 5 institute Show.As shown in Figure 5, under conditions of meeting user day traveling demand, different changes is presented in battery-exchange station remaining power group number Change trend.After 22:00, since battery charging group number is more and more, remaining set number starts that steady-state growth is presented;When 07:00, by In there is morning peak, remaining battery group number sharply declines;When 15:00, changes battery charging group number and increase by a small margin, the amount of can be used Increase.In conjunction with the variation of battery energy storage in figure, by remaining power group number variation in switching station one day be divided into three typical scenes into Row analysis is followed successively by sufficient phase, float period and trough period, and it is 40 groups, 20 groups and 5 groups that respective battery, which can call group number,.
According to restoring force assessment models, combined objective function and constraint condition are calculated using particle swarm algorithm and are not adopted The restoring force index of power grid when taking any measure for improvement, as shown in table 7.
7 restoring force index of table
Without measure Restore duration Load restoration rate Restoring force
The sufficient phase 0.715 0.648 0.682
Float period 0.645 0.626 0.636
Trough period 0.573 0.584 0.578
As seen from table, in three typical scenes, when remaining power group number abundance, power system restoration power is maximum.
According to the present embodiment, for power system restoration power method for improving, in conjunction with its economy, three kinds of typical scenarios are discussed respectively The restoring force of lower power grid is horizontal.
One, shaft tower is reinforced
Total investment is completely used for track strengthening, i.e. C1≤Csum, C2=0.System overall length about 40km, totally 44 routes, rank Ladder type basis is generally placement layer by layer, and guarantees not interspace between upper and lower level, every layer concrete with a thickness of 200:300mm, Every square of cost is 100 yuan, and angle steel price is 3630 yuan/ton, and each shaft tower reinforces totle drilling cost and is no more than 2000 yuan.
Line loss probability after reinforcing is calculated according to line loss analysis model, as shown in table 5.
5 line loss probability of table
Region Route Loss probability
1 6,7,8,26,38,39 0.50
2 4,5,9,10,27,28,29,30,40 0.38
3 11,12,13,25,31,32,33,34,41,42,44 0.27
4 2,3,14,18,19,20,21,22,23,24,35,36,37,43 0.17
5 1,15,16,17 0.10
It is obtained in power grid using roulette algorithm since shaft tower collapses the route to cause damages according to the loss probability of route Are as follows: 6,7,20,26,28 and 37.According to the correcting strategy of regulation, the reparation sequence of Liang Ge unit is successively are as follows: 6 → 7 → 26 → 20; 6→7→26→28→37。
According to restoring force assessment models, power grid is calculated using particle swarm algorithm in combined objective function and constraint condition Restoring force index, as shown in table 8.
8 scheme of table, 1 restoring force index
Scheme one Restore duration Load restoration rate Restoring force
The sufficient phase 0.748 0.716 0.732
Float period 0.714 0.659 0.687
Trough period 0.695 0.603 0.649
As shown in Table 7, scheme one, so that loss probability reduces route on the original basis, utilizes wheel by reinforcing shaft tower Disk gambles algorithm calculating loss route, and loss route is reduced, so that loss range reduces, reparation is rapider, and load needs to maintain Runing time is accordingly reduced.As shown in Table 8, load restoration rate index and recovery duration index have obtained effective promotion. At this point, power grid overall cost of ownership is 27.9 ten thousand yuan.
Two, expand battery-exchange station capacity
Total investment is completely used for expanding switching station capacity, i.e. C2≤Csum、C1=0.By the expansion of switching station capacity, often A switching station will increase by 40 groups of batteries.Each switching station can call group in sufficient phase, float period, trough period, respective battery at this time Number is 80 groups, 60 groups and 45 groups.Due to not reinforced to shaft tower, thus line loss probability with measure for improvement is not taken when Unanimously, route is lost still are as follows: 6,7,9,20,25,26,28,37 and 44.The optimal reparation order of Liang Ge unit is successively are as follows: 6 → 7 → 9 →44→20→25;6→7→26→28→37.
According to restoring force assessment models, power grid is calculated using particle swarm algorithm in combined objective function and constraint condition Restoring force index, as shown in table 9.
9 scheme of table, two restoring force index
Scheme two Restore duration Load restoration rate Restoring force
The sufficient phase 0.729 0.765 0.747
Float period 0.714 0.710 0.712
Trough period 0.677 0.683 0.680
Switching station battery capacity is expanded in scheme two, battery-exchange station can be power grid after the generation of extreme disaster More schedulable resources are provided.As shown in Table 9, load restoration rate index and recovery duration index have obtained effectively mentioning It rises, wherein load restoration rate index is promoted obvious.At this point, power grid overall cost of ownership is 28.8 ten thousand yuan.
Three, shaft tower is reinforced to combine with expansion battery-exchange station capacity
Total investment is divided into two parts, a part is used to expand battery-exchange station capacity for reinforcing shaft tower, a part, That is C1+C2≤CsumAnd C1≠0、C2≠0.The capital project that two measures combination is constantly generated by particle swarm algorithm, is meeting Shaft tower number and battery-exchange station capacity extensions group number can be reinforced by calculating under constraint condition under different capital projects, and pass through route The loss contour number of power grid and loss region after loss analysis model and the determining reinforcing of roulette algorithm, according to loss route reparation Principle repairs loss route, obtains the repair time for entirely losing region, finally dispatches electricity according to region significance level Pond is powered, and obtains restoring force of the power grid under the capital project, finally under more various schemes restoring force size, finally The maximum restoring force lifting scheme in certain economic limit is obtained, and exports corresponding power grid maximum restoring force.In the example It is hardened link 1,2,3,4,5,6,7,8,9,10,11,12,13,26,27,29,30,31 and 33, each power transformation to optimal case It stands and expands 18 groups of batteries, therefore each substation can call battery pack number to be respectively as follows: 58 groups, 38 in sufficient phase, float period, trough period It organizes and 23 groups.Loss route is determined by roulette algorithm are as follows: the reparation order of 6,7,20,25,26,28,37 and 44, Liang Ge unit Successively are as follows: 6 → 7 → 26 → 44 → 20 → 25;6→7→26→28→37.
10 scheme of table, three restoring force index
Scheme three Restore duration Load restoration rate Restoring force
The sufficient phase 0.734 0.765 0.750
Float period 0.759 0.676 0.718
Trough period 0.750 0.626 0.688
In scheme three, the practical application reinforced shaft tower and expand battery-exchange station is comprehensively considered, in certain economic limit, The lifting scheme for taking two measures to combine is advantageously implemented restoring force maximization.To lose route by reinforcing shaft tower It tails off, loss region reduces, so that repair time is reduced, is conducive to the ability for improving power grid reply extreme natural calamity. More steady load operations can be guaranteed by expanding battery-exchange station capacity.As shown in Table 10, load restoration rate index and recovery are held Continuous property index has obtained effective promotion.Reinforce shaft tower at this time is respectively with the investment amount for expanding battery-exchange station capacity 16.8,12.96 ten thousand yuan, power grid overall cost of ownership is 29.76 ten thousand yuan.
It, can be effective by scheme one and scheme two it is found that either reinforcing shaft tower still expands battery-exchange station capacity Increasing productivity recovery rate and recovery duration index.Reinforcing shaft tower mainly influences shaft tower loss probability, effectively reduces line loss, Shorten repair time, duration Index Influence is larger to restoring.Expand battery-exchange station capacity mainly quickly to provide for power grid Standby resources, battery-exchange station remaining power group and diesel engine unit maintain to restore effective operation of load jointly, to load restoration Rate Index Influence is larger.And scheme three will reinforce shaft tower and expansion battery-exchange station capacity combines, and give full play to two kinds The advantage of measure for improvement, restoring force index have bigger promotion compared with scheme one and scheme two, while avoiding independent reinforcing bar The excessively high problem of resource excess caused by the excessively high and independent expansion battery-exchange station capacity of tower cost, maintenance expense.
It can be seen that reinforcing shaft tower and expansion battery-exchange station capacity two by reasonable distribution in certain economic limit The cost of investment of measure for improvement can effectively promote the restoring force of power grid, guarantee that power grid restores as far as possible after disaster generation While more loads, the stable operation for restoring load is realized.
Embodiment 2:
Fig. 6 is the schematic diagram for the lifting device that one embodiment of the invention provides, for executing in embodiment corresponding to Fig. 1 Method and step.As shown in fig. 6, in the present embodiment, lifting device 6 includes:
Line loss analysis model establishes module 61, for establishing line loss analysis model;
Restoring force assessment models establish module 62, for constructing elastic distribution network restoration force estimation model;
Analysis module 63, the restoring force promotion side for being combined using shaft tower and expansion battery-exchange station capacity is reinforced Method constructs objective function with restoring force and economic cost, according to the line loss analysis model and elastic distribution network restoration power Assessment models obtain elastic distribution network restoration power lifting scheme.
It is apparent to those skilled in the art that for convenience of description and succinctly, only with above-mentioned each function Can unit, module division progress for example, in practical application, can according to need and by above-mentioned function distribution by different Functional unit, module are completed, i.e., the internal structure of the lifting device is divided into different functional unit or module, to complete All or part of function described above.Each functional unit in embodiment, module can integrate in one processing unit, It is also possible to each unit to physically exist alone, can also be integrated in one unit with two or more units, above-mentioned collection At unit both can take the form of hardware realization, can also realize in the form of software functional units.In addition, each function Unit, module specific name be also only for convenience of distinguishing each other, the protection scope being not intended to limit this application.Above-mentioned dress The specific work process for setting middle unit, module, can refer to corresponding processes in the foregoing method embodiment, and details are not described herein.
Embodiment 3:
The schematic diagram for the terminal device that Fig. 7 one embodiment of the invention provides.As shown in fig. 7, in the present embodiment, terminal is set Standby 7 include: processor 70, memory 71 and are stored in the meter that can be run in the memory 71 and on the processor 70 Calculation machine program 72.The processor 70 is realized in each embodiment as described in example 1 above when executing the computer program 72 The step of, such as step S101 to S103 shown in FIG. 1.Alternatively, reality when the processor 70 executes the computer program 72 The function of each module/unit in existing above-mentioned lifting device embodiment, such as the function of module 61 to 63 shown in Fig. 6.
Illustratively, the computer program 72 can be divided into one or more module/units, it is one or Multiple module/units are stored in the memory 71, and are executed by the processor 70, to complete the application.Described one A or multiple module/units can be the series of computation machine program instruction section that can complete specific function, which is used for Implementation procedure of the computer program 72 in the terminal device 7 is described.For example, the computer program 72 can be divided Be cut into that line loss analysis model establishes module, restoring force assessment models establish module and analysis module, modules it is specific Function is as follows:
Line loss analysis model establishes module, for establishing line loss analysis model;
Restoring force assessment models establish module, for constructing elastic distribution network restoration force estimation model;
Analysis module, the restoring force method for improving for being combined using shaft tower and expansion battery-exchange station capacity is reinforced, Objective function is constructed with restoring force and economic cost, according to the line loss analysis model and elastic distribution network restoration force estimation Model obtains elastic distribution network restoration power lifting scheme.
The terminal device can be mobile phone, tablet computer etc. and calculate equipment.The terminal device may include, but not only limit In processor 70, memory 71.It will be understood by those skilled in the art that Fig. 7 is only the example of terminal device 7, do not constitute Restriction to terminal device 7 may include perhaps combining certain components or different than illustrating more or fewer components Component, such as the terminal device 7 can also include input-output equipment, network access equipment, bus etc..
Alleged processor 70 can be central processing unit (Central Processing Unit, CPU), can also be Other general processors, digital signal processor (Digital Signal Processor, DSP), specific integrated circuit (Application Specific Integrated Circuit, ASIC), ready-made programmable gate array (Field- Programmable Gate Array, FPGA) either other programmable logic device, discrete gate or transistor logic, Discrete hardware components etc..General processor can be microprocessor or the processor is also possible to any conventional processor Deng.
The memory 71 can be the internal storage unit of the terminal device 7, such as the hard disk or interior of terminal device 7 It deposits.The memory 71 is also possible to the External memory equipment of the terminal device 7, such as be equipped on the terminal device 7 Plug-in type hard disk, intelligent memory card (Smart Media Card, SMC), secure digital (Secure Digital, SD) card dodge Deposit card (Flash Card) etc..Further, the memory 71 can also both include the storage inside list of the terminal device 7 Member also includes External memory equipment.The memory 71 is for storing 7 institute of the computer program 72 and the terminal device Other programs and data needed.The memory 71 can be also used for temporarily storing the number that has exported or will export According to.
Embodiment 4:
The embodiment of the invention also provides a kind of computer readable storage medium, computer-readable recording medium storage has meter Calculation machine program is realized the step in each embodiment as described in example 1 above, such as is schemed when computer program is executed by processor Step S101 shown in 1 to step S103.
In the above-described embodiments, it all emphasizes particularly on different fields to the description of each embodiment, is not described in detail or remembers in some embodiment The part of load may refer to the associated description of other embodiments.
Those of ordinary skill in the art may be aware that list described in conjunction with the examples disclosed in the embodiments of the present disclosure Member and algorithm steps can be realized with the combination of electronic hardware or computer software and electronic hardware.These functions are actually It is implemented in hardware or software, the specific application and design constraint depending on technical solution.Professional technician Each specific application can be used different methods to achieve the described function, but this realization is it is not considered that exceed Scope of the present application.
In embodiment provided herein, it should be understood that disclosed elastic distribution network restoration power method for improving, Device and terminal device, may be implemented in other ways.For example, lifting device embodiment described above is only to show Meaning property, for example, in addition the division of the module or unit, only a kind of logical function partition can have in actual implementation Division mode, such as multiple units or components can be combined or can be integrated into another system or some features can be with Ignore, or does not execute.Another point, shown or discussed mutual coupling or direct-coupling or communication connection can be logical Some interfaces are crossed, the INDIRECT COUPLING or communication connection of device or unit can be electrical property, mechanical or other forms.
The unit as illustrated by the separation member may or may not be physically separated, aobvious as unit The component shown may or may not be physical unit, it can and it is in one place, or may be distributed over multiple In network unit.It can select some or all of unit therein according to the actual needs to realize the mesh of this embodiment scheme 's.
It, can also be in addition, each functional unit in each embodiment of the application can integrate in one processing unit It is that each unit physically exists alone, can also be integrated in one unit with two or more units.Above-mentioned integrated list Member both can take the form of hardware realization, can also realize in the form of software functional units.
If the integrated module/unit be realized in the form of SFU software functional unit and as independent product sale or In use, can store in a computer readable storage medium.Based on this understanding, the application realizes above-mentioned implementation All or part of the process in example method, can also instruct relevant hardware to complete, the meter by computer program Calculation machine program can be stored in a computer readable storage medium, the computer program when being executed by processor, it can be achieved that on The step of stating each embodiment of the method.Wherein, the computer program includes computer program code, the computer program generation Code can be source code form, object identification code form, executable file or certain intermediate forms etc..The computer-readable medium It may include: any entity or device, recording medium, USB flash disk, mobile hard disk, magnetic that can carry the computer program code Dish, CD, computer storage, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), electric carrier signal, telecommunication signal and software distribution medium etc..It should be noted that described The content that computer-readable medium includes can carry out increasing appropriate according to the requirement made laws in jurisdiction with patent practice Subtract, such as in certain jurisdictions, according to legislation and patent practice, computer-readable medium do not include be electric carrier signal and Telecommunication signal.
Embodiment described above is only to illustrate the technical solution of the application, rather than its limitations;Although referring to aforementioned reality Example is applied the application is described in detail, those skilled in the art should understand that: it still can be to aforementioned each Technical solution documented by embodiment is modified or equivalent replacement of some of the technical features;And these are modified Or replacement, the spirit and scope of each embodiment technical solution of the application that it does not separate the essence of the corresponding technical solution should all Comprising within the scope of protection of this application.

Claims (14)

1. a kind of elasticity distribution network restoration power method for improving characterized by comprising
Establish line loss analysis model;
Establish elastic distribution network restoration force estimation model;
The restoring force method for improving combined using shaft tower and expansion battery-exchange station capacity is reinforced, with restoring force and economic cost Objective function is constructed, according to the line loss analysis model and elastic distribution network restoration force estimation model, obtains elastic distribution Network recovery power lifting scheme.
2. elasticity distribution network restoration power method for improving as described in claim 1, which is characterized in that described to establish line loss point Analyse model, comprising:
Under earthquake disaster, earthquake ground motion acceleration are as follows:
lg(αPGA)=a+bM-clg [R+dexp [eM]]+ε
Wherein, αPGAFor earthquake ground motion acceleration, M is earthquake magnitude, and R distance, ε is the random quantity with variances sigma, and a, b, c, d and e are Preset constant;
By each shaft tower of each route of elastic power distribution network, normal use is impacted in earthquake, component surrender, structure yields and The corresponding earthquake damage level of structural collapse institute is as limiting condition, and quantizating index is L respectively1、L2、L3And L4, different earthquake etc. The conditional probability that each shaft tower reaches damage and failures at different levels under grade meets:
P(SiPGA)=P (Lmax>LiPGA)
Wherein, SiFor earthquake damage level state, LMAXIt is each shaft tower in earthquake ground motion acceleration αPGAWhen vertex maximum horizontal displacement, LiIt (i=1,2,3,4) is each shaft tower tower top horizontal displacement limit value of otherwise limit state under each earthquake damage level;
Calculate the accumulated probability that each tower structure state of overstepping the extreme limit reaches each earthquake damage level
ln(Lmax)=kln (αPGA)+g
Wherein, k and g is predetermined coefficient, σ LmaxLogarithm condition standard it is poor, μ is Poisson's coefficient.
3. elasticity distribution network restoration power method for improving as described in claim 1, which is characterized in that the elastic power distribution network of the foundation Restoring force assessment models, comprising:
The load restoration index f of elastic distribution network restoration power is evaluated in buildingrecWith recovery duration composite target fsus
The building load restoration index frecAre as follows:
Wherein, NrecTo restore load bus number, NlossTotal loss load bus number is caused for disaster;ωrec,iAnd ωloss,jFor Node load weight, Prec,iIndicate the active power of recovery nodes i, Ploss,jFor the active power for losing load bus j;
The building restores duration index fsusAre as follows:
Wherein, B is total loss regional ensemble,Runing time after restoring for region b,It is repaired for region b by route The multiple time for restoring to operate normally.
4. elasticity distribution network restoration power method for improving as described in claim 1, which is characterized in that described with restoring force and economy Cost constructs objective function, according to the line loss analysis model and elastic distribution network restoration force estimation model, obtains elasticity Distribution network restoration power lifting scheme, comprising:
It is up to objective function with restoring force within the scope of default total investment, with node voltage constraint, node power balance, route Trend, restore load constraint and battery discharge is constraint condition, according to the line loss analysis model and elastic power distribution network Restoring force assessment models, and combined objective function and constraint condition solve multi-objective problem, show that elastic power distribution network is extensive Multiple power lifting scheme.
5. elasticity distribution network restoration power method for improving as claimed in claim 4, which is characterized in that the objective function are as follows:
Wherein, C1To reinforce the cost that shaft tower generates, C2To expand the cost that battery-exchange station capacity generates, CsumFor default investment Total value, k1To construct load restoration index frecRelative to the weight coefficient of restoring force, k2Restore duration index f for buildingsus Relative to the weight coefficient of restoring force, fsumFor elastic distribution network restoration power index.
6. elasticity distribution network restoration power method for improving as claimed in claim 5, which is characterized in that described to reinforce what shaft tower generated Cost C1Are as follows:
C1=n (cφ1Vφ1+cφ2Lφ2)
Wherein, n is to reinforce shaft tower quantity, cφ1For the cost coefficient of consolidated subsoil, cφ2For reinforce shaft tower material cost coefficient, Vφ1For the volume of consolidated subsoil, Lφ2For the increase length of shaft tower suspension column;
The cost C for expanding battery-exchange station capacity and generating2Are as follows:
C2=mC0
Wherein, m is battery-exchange station capacity extensions quantity, C0For single battery group cost.
7. elasticity distribution network restoration power method for improving as claimed in claim 4, which is characterized in that the constraint condition are as follows:
Wherein, Ui,minFor the minimum value of i-node voltage, Ui,maxFor the maximum value of i-node voltage, Pinp,iIt is inputted for node active Power, Qinp,iReactive power, P are inputted for nodeload,iAnd Qload,iFor node load consumption, Pline,jFor route active power, Qline,jFor route reactive power, Pline,i,maxFor the maximum power that route allows, Qline,i,maxThe minimum power allowed for route; λ is 0 or 1, and λ is equal to 0 when route disconnects;Ω is the number of lines connecting with node i, Prec,iFor recovery nodes wattful power Rate, Ploss,jFor power loss node active power, NlossEntirely to lose region internal loading set, NrecIt is extensive in region entirely to lose Multiple load aggregation, SOCiFor the discharge capacity of i-th of battery of t moment, TBatFor battery discharge time, ΩBatIt is remaining schedulable Battery number, M be exchange station battery sum, CsumTo preset total investment.
8. elasticity distribution network restoration power method for improving as claimed in claim 4, which is characterized in that the combined objective function and Constraint condition solves multi-objective problem, specifically:
1) a group number, total investment, particle position, particle rapidity can be called to be input to population the number of iterations, exchange station battery Optimization algorithm model;
2) initial population is initialized, determines the restoring force index of current maximum restoring force lifting scheme;
3) according to the constraint condition C in objective function1+C2≤Csum, determine that one group of shaft tower reinforces quantity n and battery-exchange station capacity Expand quantity m;
4) by line loss analysis model, quantity n and battery-exchange station capacity extensions number are reinforced according to currently determining shaft tower It measures m and determines loss line set and loss regional ensemble, repair principle and switching station scheduling batteries principle pair according to loss route Power grid is repaired, and obtains current elastic distribution network restoration power index fsum
It 5) will current elastic distribution network restoration power index fsumMake ratio with the restoring force index of current maximum restoring force lifting scheme Compared with if current elasticity distribution network restoration power index fsumGreater than the restoring force index of current maximum restoring force lifting scheme, then will Current elasticity distribution network restoration power index fsumIt is updated to the restoring force index of current maximum restoring force lifting scheme, current elasticity Distribution network restoration power index fsumCorresponding scheme is maximum restoring force lifting scheme;
6) judge whether to meet default the number of iterations, step 3) is repeated if being unsatisfactory for default the number of iterations to step 6), if full The default the number of iterations of foot then turns to step 7);
7) maximum restoring force lifting scheme and corresponding power grid maximum restoring force are exported.
9. elasticity distribution network restoration power method for improving as claimed in claim 8, which is characterized in that described to pass through line loss point Model is analysed, determines loss line set, loss regional ensemble, comprising:
The loss probability of each shaft tower of each route of elastic power distribution network is determined according to the line loss analysis model;
Roulette algorithm is taken, determines whether the corresponding route of each shaft tower is damaged according to the loss probability of each shaft tower;
Loss line set and loss regional ensemble are determined according to whether route is impaired.
10. elasticity distribution network restoration power method for improving as claimed in claim 8, which is characterized in that the exchange station battery tune Spend principle are as follows: be scheduled to battery according to region significance level;
The region significance level are as follows:
Wherein, ωiFor the significance level of region i, NiFor region i internal loading quantity, wi,jWeight, P for region i internal loading ji,j For the active power of region i internal loading j;
The loss route repairs principle are as follows: repairs according to the weight of loss route to shaft tower;
The loss contour right of way weight are as follows:
Wherein, ζyFor the weight for losing route y, ByFor the regional ensemble that loss route y influences, B is entire loss region.
11. elasticity distribution network restoration power method for improving as described in any one of claim 1 to 10, which is characterized in that reinforcing bar The method of tower is to be reinforced according to the significance level of route, that is, route weight to overhead line structures;
The weight of each route in elastic power distribution network are as follows:
Wherein, wiFor the load level weight of i-th of node, LiFor the load of i-th of node;NxiFor i line influence of xth Load aggregation, wjFor the load level weight of j-th of node;LjFor the load of j-th of node, NtotalFor entire route Load aggregation.
12. a kind of elasticity distribution network restoration force lifting apparatus characterized by comprising
Line loss analysis model establishes module, for establishing line loss analysis model;
Restoring force assessment models establish module, for constructing elastic distribution network restoration force estimation model;
Analysis module, the restoring force method for improving for being combined using shaft tower and expansion battery-exchange station capacity is reinforced, with extensive Multiple power and economic cost construct objective function, according to the line loss analysis model and elastic distribution network restoration force estimation mould Type obtains elastic distribution network restoration power lifting scheme.
13. a kind of terminal device, which is characterized in that in the memory including memory, processor and storage, and can be The computer program run on the processor, the processor realized when executing the computer program as claim 1 to The step of any one of 11 elastic distribution network restoration power method for improving.
14. a kind of computer readable storage medium, which is characterized in that the computer-readable recording medium storage has computer journey Sequence realizes the elastic distribution network restoration power as described in any one of claim 1 to 11 when the computer program is executed by processor The step of method for improving.
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