CN107862405A - The power system rack reconstruction and optimization method of meter and microgrid as black starting-up power supply - Google Patents
The power system rack reconstruction and optimization method of meter and microgrid as black starting-up power supply Download PDFInfo
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Abstract
The present invention relates to the power system rack reconstruction and optimization method of meter and microgrid as black starting-up power supply, including step:Input electric power systematic parameter;Using maximize recovery system generating capacity and minimize microgrid in load loss amount for target build count and microgrid as black starting-up power supply rack reconstruction and optimization model;It is determined that the constraints of meter and microgrid as the rack reconstruction and optimization model of black starting-up power supply;Based on pitch point importance and path recovery time structure integration schedules evaluation index, to optimize the restoration path of unit to be restored;Joint is combined solving model using ant colony algorithm with quantum theory.The rack reconstruction strategy proposed by the present invention for making black starting-up power supply using the microgrid containing regenerative resource at high proportion, has certain feasibility and validity.In the case of system convention black starting-up inadequate resource, startup power can be provided for non-black starting-up unit by the use of microgrid as black starting-up power supply, recover non-black starting-up unit quickly, reach the purpose of rack reconstruct.
Description
Technical field
The present invention relates to field of power, more particularly to the power system net of meter and microgrid as black starting-up power supply
Frame reconstruction and optimization method.
Background technology
With Computer Control Technology development and various Power System Automation Equipment application, power system it is automatic
Change is horizontal and intelligence degree has obtained larger raising, and system rejection to disturbance and the ability of reply failure significantly increase.Large number of intermittently
Property regenerative resource for example wind-powered electricity generation, photovoltaic etc. access power system, significantly improve the installed capacity of system.Due to renewable energy
Source has the characteristics of intermittent and fluctuation, with its accounting more and more higher in generating capacity and generated energy, power system
Running environment it is more complicated, uncertain factor is more, degree is stronger, has a power failure on a large scale so as to increasing power system
Risk.
It using black starting-up unit is non-black starting-up unit that the main task of rack reconstruction stage, which is, after power system is had a power failure on a large scale
Station service is provided, recovers dead electricity unit as early as possible, establishes a stable power transmission network framework, is the load restoration of next stage
Prepare.A small amount of research existing at present starts to consider effect of the distributed energy in system recovery, but on distributed energy
Condensed together in the form of microgrid and need further to grind as the overall system recovery participated in after power system is had a power failure on a large scale
Study carefully.Microgrid be it is a kind of be made up of distributed power source, energy-storage system, energy conversion device, load and detection protection device etc. it is small
Type power system.Microgrid utilizes the control technology of its own, has grid-connected or island operating capacity.Microgrid can accommodate more
Distributed power source, the capacity utilization of regenerative resource and the power supply reliability of power network are improved, and regenerative resource can be reduced
Uncertainty and the intermittent adverse effect brought to major network.
How to count and the microgrid containing renewable energy power generation at high proportion is as black starting-up power supply, be current power system net
Need to solve the problems, such as in frame reconstruction and optimization.It is it can be seen that existing on the power system rack of meter and microgrid as black starting-up power supply
The method of reconstruct could be improved.
The content of the invention
The present invention is to overcome at least one defect described in above-mentioned prior art, there is provided one kind meter and microgrid open as black
The method of the power system rack reconstruct of dynamic power supply.
In order to solve the above technical problems, the technical solution adopted by the present invention is:
The power system rack reconstruction and optimization method of meter and microgrid as black starting-up power supply, it is characterised in that including step
Suddenly:
S1. analysis is containing advantage and its feasibility of the regenerative resource microgrid as black starting-up power supply at high proportion, propose to count and
Operating process of the microgrid as the non-black starting-up unit of black starting-up power up;
S2. counted using maximizing the generating capacity of recovery system and minimizing the load loss amount in microgrid as target structure
And rack reconstruction and optimization model of the microgrid as black starting-up power supply;
S3. according to the topological parameter and electric parameter of electric power networks, built based on pitch point importance and path recovery time
Integration schedules evaluation index reconstructs electric power rack to optimize the restoration path of unit to be restored;
S4. joint is combined with quantum theory using ant colony algorithm and solves constructed meter and containing renewable energy at high proportion
Rack reconstruction model of the microgrid in source as black starting-up power supply.
Preferably, it is proposed that the operating process of meter and microgrid as the non-black starting-up unit of black starting-up power up, including:
1. the confirmation that system is had a power failure on a large scale;In normal operation, microgrid is in grid-connected state, when microgrid center controls
After device detects major network failure, island operation state, microgrid central controller control storage are entered by the automatic off-grid of seamless switching
Can micro- source controller of system and schedulable unit inverter control mode is switched into Vf controls, through microgrid dispatcher with
Major network dispatcher's liaison, is confirmed whether to have a power failure on a large scale, if not having a power failure on a large scale, microgrid passes through seamless switching technique
Switch to the pattern of being incorporated into the power networks;If having a power failure on a large scale, t=0 is remembered, and perform step 2., 3., 4. and 5.;
2. input and each element state of major network of renewal microgrid central controller storage, are determined a need for based on microgrid
Unit to be restored provides startup power in net, when major network system is completely black or has recovered the power output of unit and is not enough to start
During next unit to be restored, microgrid will provide startup power as black starting-up power supply for non-black starting-up unit;
3. microgrid central controller detects to microgrid inner member state, including energy-storage system electric energy, schedulable machine
Group output state;Meanwhile microgrid central controller is to short-term period TpInterior regenerative resource is contributed and payload is carried out in advance
Survey;Judge TpWhether the net power that interior microgrid takes no account of itself internal load meets that the non-black starting-up unit starting power of target will
Ask;TpDetermination and the non-black starting-up unit of current goal startup time correlation, described microgrid contribute at least should ensure that one
Non- black starting-up unit can continue to obtain startup power until its is grid-connected;
If 4. TpThe net power of interior microgrid meets requirement, then it is that major network is non-black that microgrid, which can integrally be used as black starting-up power supply,
Start unit and startup power is provided, meanwhile, calculated load loss amount, if microgrid net power can meet that itself load and Fei Hei are opened
Motivation group startup power, then the load in microgrid need not be cut off, i.e. the load loss amount of microgrid is 0;Otherwise, will in microgrid
Certain load loss is produced, if now microgrid net power can not meet the requirement of non-black starting-up unit starting power, microgrid
Island operation state will be kept;
5. if microgrid does not provide power to major network, t=t+1 is made;Otherwise, t=t+t is madexi, txiFor the non-black starting-up of target
The startup time of unit, step is continued executing with 2., 3. and 4., untill all units have recovered.
Preferably, using the load loss amount in the generating capacity and minimum microgrid that maximize recovery system as target structure
The rack reconstruction and optimization model of meter and microgrid as black starting-up power supply is built, including:
Generating capacity of the invention to maximize recovery system is target, i.e.,
In formula:SNBSFor non-black starting-up unit node set;PSyn, i, tAnd PSt, i, tThe non-of respectively moment t node is black is opened
The output and its startup power that motivation group has been recovered;PM, tThe power provided for moment t microgrid;uI, tFor two-valued variable, work as node
I non-black starting-up unit its value when moment t obtains startup power is 1, is otherwise 0;
Critical load is different with the significance level of common load in meter and microgrid, and the load loss amount inside microgrid can table
It is shown as
In formula:NTFor the rack reconstruct time used;WithCommon load and the pass cut off is represented respectively
The function that the active power of key load changes over time;ψ is load coefficient, represents the important of the relatively common load of critical load
Degree;Can be by calculating rectangular area sum come its constant volume score value of approximate calculation, i.e.,
In formula:WithThe active power of the common load and critical load of respectively moment t excisions;Meter and rack
The load loss amount of microgrid in restructuring procedure, using the formula as penalty term, obtain present invention meter and containing at high proportion can be in the energy
Object function of the microgrid as the rack reconstruction and optimization strategy of black starting-up power supply, i.e.,
In formula:η is penalty coefficient, represents the punishment degree to microgrid load loss amount.
Preferably, using the load loss amount in the generating capacity and minimum microgrid that maximize recovery system as target structure
The rack reconstruction and optimization model of meter and microgrid as black starting-up power supply is built, including:It is determined that meter and microgrid are as black starting-up power supply
The constraints of rack reconstruction and optimization model;
2) microgrid constrains
Micro- source in microgrid represents with subscript W, SRESFor Wind turbines and photovoltaic array set, SESSFor energy-storage system collection
Close, SDUFor schedulable unit set.Microgrid need to meet to constrain as follows in moment t:
In formula:WithThe respectively minimum and maximum active power of microgrid output,For microgrid output most
Big reactive power;WithThe minimum and maximum active power of respectively micro- source output,For the maximum of micro- source output
Reactive power;PM,w,tThe active power exported for DU in moment t, UM,wAnd DM,wRespectively DU up climbing rate and descending climb
Ratio of slope;WithRespectively moment t ESS charge power and discharge power,WithRespectively ESS
Maximum charge power and maximum discharge power, EM,w,tThe electric energy stored for ESS in moment t,WithRespectively ESS institutes
The maximum and minimum value of the electric energy of storage,WithRespectively ESS charge efficiency and discharging efficiency, τ are moment t -1
To moment t time interval;PDL(t) it is the active power of the common loads of moment t, PULFor the active power of critical load;
2) non-black starting-up Unit commitment
The active power model of the non-black starting-up unit output of node i need to meet to constrain as follows:
In formula:tcrk,iAnd trp,iThe respectively Startup time of the non-black starting-up unit and startup time,Exported for it
Maximum active power, Rr,iFor the non-black starting-up unit climbing rate;The maximum exported for the non-black starting-up unit of node i
Reactive power;tmin,iFor the cold start-up minimum critical time limit of the non-black starting-up unit of node i; tmax,iNon- for node i black is opened
The thermal starting maximum critical moment of motivation group;NresTo have recovered unit set; x∈SNBS\Nres, i.e. x should belong to non-black starting-up
Unit set SNBSUnit set N is recoveredresSupplementary set;
3) network constraint
To ensure major network safe and stable operation, the target net of structure need to meet to constrain as follows:
In formula:J ∈ i represent that node j is connected with node i, Ui、PiAnd QiRespectively the busbar voltage of node i, injection are somebody's turn to do
The active power and reactive power of node, GijAnd BijRespectively circuit i-j conductance and over the ground susceptance, θijFor node i and section
Point j phase angle difference, SGFor the node set of target net;SijFor circuit i-j trend,For circuit i-j maximum transmission of electricity
Capacity;WithThe respectively upper and lower bound of the busbar voltage of node i.
Preferably, it is to be restored to optimize based on pitch point importance and path recovery time structure integration schedules evaluation index
The restoration path of unit, and then electric power rack is reconstructed, including:Importance evaluation is carried out to the node of power system;
The present invention considers the attribute of neighbor node, and utilizes power system node parameter, it is proposed that a kind of new electric power
System node importance evaluation of programme:
1) node criticality
If G=(V, E) is a non-directed graph of having the right, V={ V1, V2..., VnIt is vertex set, E V2On a son
Collection, G0=(ωij)n×nFor the weighted adjacency matrix of the network of having the right.dself=[d1, self, d2, self..., dN, self]TIt is and section
Degree column vector, wherein d corresponding to point set VI, selfFor node ViDegree.If βiFor with node ViThe weight on connected all sides it
With then [β1, β2..., βn]T=G0E, here e=[1,1 ..., 1]T.Define G=(Gij)n×nMatrix is contributed for G degree, wherein
Gij=ωijdI, self/βi;
By node criticality di(i=1,2 ..., n) is defined as the degree tribute of the degree and its all neighbors j of node i itself
Sum is offered, i.e.,
Then node criticality vector d is expressed in matrix as
D=dself+GTe
2) node power transfer ratio
The electric parameter of power system and node criticality are combined together structure pitch point importance index, node
Power transfer ratio is defined as
In formula:PI, inFor the maximum injection power of node i, PBFor power reference value;
3) pitch point importance
The present invention chooses the inverse of charging capacitor as circuit weight, i.e., in G0In take ωij=1/cij, wherein cijFor line
Road i-j charging capacitor.Consider node criticality and power transfer ratio, node i in electric power networks can be defined
Importance is
In formula:λ is pitch point importance regulation coefficient.
Preferably, it is to be restored to optimize based on pitch point importance and path recovery time structure integration schedules evaluation index
The restoration path of unit, and then electric power rack is reconstructed, including:Based on pitch point importance and the comprehensive road of path recovery time structure
Footpath evaluation index, to optimize the restoration path of unit to be restored;
When selecting restoration path, the path for selecting pitch point importance larger is recovered, and advantageously reduces the excessively electric of system
Press risk and improve the maintenance level of Power System Restoration Process;The time used in the recovery path should be also taken into account simultaneously, so
The security constraint for both having met recovery process is just can guarantee that, meets the requirement for recovering unit and load as early as possible again;Definition node p is arrived
The evaluation index of the m articles restoration path is between node q
In formula:Represent the node set of the m articles restoration path between node p and q;For required for restoration path m
Time;DkForInterior joint k importance;γ is path regulation coefficient;
Therefore the optimization aim of the restoration path in rack reconstruct may be defined as
Preferably, joint is combined the meter constructed by solving and containing at high proportion can be again using ant colony algorithm with quantum theory
Rack reconstruction model of the microgrid of the raw energy as black starting-up power supply, including:
The key step that rack reconstruct is carried out using quantum ant colony algorithm is as follows:
1. confirm have a power failure on a large scale after major network each element state, into islet operation pattern microgrid MGCC to future time period
TpRES contribute and load is predicted, the net power exported according to microgrid prepares to start to recover non-black starting-up unit and reconstruct
Part transmission of electricity rack.The non-black starting-up set state of major network is updated in each time interval Δ t;
2. according to formulaCarry out the restoration path optimization of non-black starting-up unit;If solve
Route result be unsatisfactory for formulaThe cold start-up crash time constraint, then the unit must be postponed till cold
Start after starting the minimum critical time limit;If the route result solved is unsatisfactory for formulaThermal starting face
Boundary's time-constrain, then can be according to formulaSection 2 carry out path optimization, if being still unsatisfactory for heat
Start crash time constraint, then carry out path optimization according to the minimum number of lines, if can not still meet, the crash time constrains,
Then show that the non-black starting-up unit will be unable to be restored in a short time, the set of its from unit to be restored should be left out;
3. recover the suitable bee numbers N of scale selection in region according to systemb, QABC quantum dimension be treat it is extensive
Multiple non-black starting-up unit number of units.Encoded by the method for appendix C and initialize bee colony, with QABC Algorithm for Solving object functions
Unit recovers sequential optimization problem;
4. the Solution of Quantum 3. tried to achieve is subjected to solution space conversion, so as to obtain the unit starting moment of former solution space.
Wherein, analyze containing advantage and its feasibility of the regenerative resource microgrid as black starting-up power supply at high proportion, bag
Include:
Advantage of the microgrid as black starting-up power supply:
1) build down is carried out as (standby) black starting-up power supply, when conventional black starting-up inadequate resource, microgrid can conduct
Black starting-up power supply provides startup power for non-black starting-up unit, progressively recovers whole power failure system.
2) system in parallel is participated in recover., can be using distributed micro-grid as one kind after whole power system is had a power failure on a large scale
Black starting-up power supply, be so advantageous to the parallel recovery of the multiple subregions of power system.
3) there is faster resume speed by the use of microgrid as black starting-up power supply, recovery time can be shortened, reduce the damage that has a power failure
Lose.
Feasibility of the microgrid as black starting-up power supply:
1) capacity feasibility:After power system major network is had a power failure on a large scale, the microgrid for the pattern that is incorporated into the power networks can utilize no seaming and cutting
Change characteristic and be transitioned into island operation state in recent years, the technology of the microgrid containing regenerative resource at high proportion continues to develop, scale
Constantly increase, the capacity of microgrid can meet the startup power demand of non-black starting-up unit.In addition, with conventional distributed power source
Compare, microgrid can also realize Reactive-power control by adjusting the parameter of micro-source inverter.
2) control strategy feasibility:In the recovery process of power system, it can be controlled by microgrid central controller micro-
Source controller realizes power network power output, the adjustment of voltage and frequency.
Compared with prior art, the beneficial effects of the invention are as follows:It is provided by the invention to count and containing regenerative resource at high proportion
Rack reconstruction and optimization method of the microgrid as black starting-up power supply, it was demonstrated that microgrid containing regenerative resource at high proportion possesses work
For the ability of the black starting-up power supply after having a power failure on a large scale, and it can make full use of regenerative resource, have higher renewable energy
Source utilization rate.Major network resume speed can be accelerated using microgrid as black starting-up power supply using the inventive method, disclosure satisfy that and opened black
System in the case of dynamic resource is insufficient recovers demand.
Brief description of the drawings
Fig. 1 is the power system rack reconstruction and optimization method flow diagram of meter and microgrid as black starting-up power supply;
Fig. 2 is the rack reconstruction result figure of the node system of 10 machine 39;
Fig. 3 is the power curve figure that regenerative resource is total in microgrid;
Fig. 4 is microgrid active power output figure;
Fig. 5 is the load resection in microgrid.
Embodiment
Accompanying drawing being given for example only property explanation, it is impossible to be interpreted as the limitation to this patent;In order to more preferably illustrate the present embodiment,
The some parts of accompanying drawing have omission, zoomed in or out, and do not represent the size of actual product;Come for those skilled in the art
Say, some known features and its explanation may be omitted and will be understood by accompanying drawing.With reference to the accompanying drawings and examples to this hair
Bright technical scheme is described further.
The present invention proposes the power system rack reconstruction and optimization method of meter and microgrid as black starting-up power supply, and it is implemented
Flow includes following detailed step:
Step 1, input electric power system topology parameter and electrical characteristic parameter;
Step 2, determine the object function of meter and microgrid as the rack reconstruction and optimization model of black starting-up power supply;
Rack reconstruct typically using the available generating capacity that maximizes recovery system or maximize the generated energy of recovery system as
The recovery order of the non-black starting-up unit of objective optimization, the generating capacity of the invention to maximize recovery system is target, i.e.,
In formula:SNBSFor non-black starting-up unit node set;PSyn, i, tAnd PSt, i, tThe non-of respectively moment t node is black is opened
The output and its startup power that motivation group has been recovered;PM, tThe power provided for moment t microgrid;uI, tFor two-valued variable, work as node
I non-black starting-up unit its value when moment t obtains startup power is 1, is otherwise 0.
It may be noted that when microgrid is as black starting-up power supply, it is necessary to microgrid internal load situation is considered, selected by guarantee
Unit recovery order make microgrid internal load loss amount minimum.The important journey of critical load and common load in meter and microgrid
Degree is different, and the load loss amount inside microgrid is represented by
In formula:NTFor the rack reconstruct time used;WithRepresent respectively the common load that is cut off and
The function that the active power of critical load changes over time;ψ is load coefficient, represents the weight of the relatively common load of critical load
Want degree.Due to containing Gaussian function in the integrand in formula, it is difficult to calculate its constant volume fractional value, therefore can will be accumulated letter
Number along time shaft is divided into wide rectangle, by calculating rectangular area sum come its constant volume score value of approximate calculation, i.e.,
In formula:WithThe active power of the common load and critical load of respectively moment t excisions.Meter and rack
The load loss amount of microgrid in restructuring procedure, using the formula as penalty term, obtain present invention meter and containing at high proportion can be in the energy
Object function of the microgrid as the rack reconstruction and optimization strategy of black starting-up power supply, i.e.,
In formula:η is penalty coefficient, represents the punishment degree to microgrid load loss amount.Therefore, the optimization object function
Both the available generating capacity of maximization recovery system had been considered, it is also contemplated that load loss amount of the microgrid as black starting-up power supply.
Step 3, determine the constraints of meter and microgrid as the rack reconstruction and optimization model of black starting-up power supply;
1) microgrid constrains
As the microgrid of black starting-up power supply, the operation for meeting its own is needed in the recovery process of whole power system
Constraint.Micro- source in microgrid represents with subscript W, SRESFor Wind turbines and photovoltaic array set, SESSFor energy-storage system collection
Close, SDUFor schedulable unit set.Therefore, need to meet to constrain as follows in moment t in whole rack reconstruction stage, microgrid:
The formula is the power constraint of microgrid output,WithThe respectively minimum and maximum wattful power of microgrid output
Rate,For the maximum reactive power of microgrid output.
The formula is the power constraint of micro- source output,WithThe minimum and maximum wattful power of respectively micro- source output
Rate,For the maximum reactive power of micro- source output.
The formula is that the climbing rate in w-th of micro- source of schedulable unit constrains, PM, w, tThe active power exported for DU in moment t,
UM, wAnd DM, wRespectively DU up climbing rate and descending climbing rate.
The formula constrains for the operation in the micro- source of w-th of energy-storage system,WithRespectively moment t ESS charging work(
Rate and discharge power,WithRespectively ESS maximum charge power and maximum discharge power, EM,w,tFor energy storage device
Moment t storage electric energy,WithThe maximum and minimum value of electric energy stored by respectively ESS,WithRespectively
For the charge efficiency and discharging efficiency of energy storage device, τ is moment t -1 to moment t time interval.
The formula constrains for the load resection of microgrid, PDL(t) it is the active power of the common loads of moment t, PULFor key
The active power of load.
2) non-black starting-up Unit commitment
In rack reconstruction stage, the active power model of the non-black starting-up unit output of node i and its constraint that need to meet
It is as follows:
The active power model that the formula exports for non-black starting-up unit, tcrk,iAnd trp,iThe respectively non-black starting-up unit
Startup time and start the time,For the maximum active power of its output, Rr,iFor the non-black starting-up unit climbing rate.
The formula is the starting state variable of the non-black starting-up unit of node i.
The formula constrains for the reactive power of the non-black starting-up unit of node i,Exported for the non-black starting-up unit of node i
Maximum reactive power.
The formula constrains for the cold start-up crash time of unit, wherein tMin, iFor the cold start-up of the non-black starting-up unit of node i
The minimum critical time limit.
The formula constrains for the thermal starting crash time of unit, wherein tMax, iFor the thermal starting of the non-black starting-up unit of node i
The maximum critical moment.
The power constraint that the formula reconstructs for rack, wherein NresTo have recovered unit set, inequality left end be microgrid and
The power output of unit is recovered, inequality right-hand member is non-black starting-up unit x to be restored startup power, in formula:x∈SNBS\
Nres, i.e. x should belong to non-black starting-up unit set SNBSUnit set N is recoveredresSupplementary set.
3) network constraint
To ensure major network safe and stable operation, the target net of structure need to meet to constrain as follows:
The formula is the trend constraint of target net, and j ∈ i represent that node j is connected with node i, Ui、PiAnd QiRespectively save
Point i busbar voltage, the active power and reactive power for injecting the node, GijAnd BijRespectively circuit i-j conductance and right
Ground susceptance, θijFor node i and node j phase angle difference, SGFor the node set of target net.
The formula constrains for the capacity of trunk of target net, SijFor circuit i-j trend,For the maximum defeated of circuit i-j
Capacitance.
The formula constrains for the busbar voltage of target net,WithRespectively the upper limit of the busbar voltage of node i and
Lower limit.
Step 4, the node to power system carry out importance evaluation;
In power system network, degree represents that the partial electrical contact of network topology is horizontal, at the same also characterize certain node with
The reachable degree of network remainder;Degree is bigger, and node and the direct ability of connection of other nodes and reachable degree are stronger,
Also it is more important in a network.Target as in the rack restructuring procedure of black starting-up power supply, is being recovered for satisfaction using microgrid,
The strong node of electrical link need to be recovered as far as possible, with the connectedness of strengthening system, improved up to degree, so as to be to recover as early as possible
More dead electricity load is prepared.The present invention considers the attribute of neighbor node, and utilizes power system node parameter, it is proposed that
A kind of new power system pitch point importance evaluation of programme.
1) node criticality
Before node criticality is introduced, the degree contribution matrix of node is firstly introduced into.If G=(V, E) is a nothing of having the right
Xiang Tu, V={ V1, V2..., VnIt is vertex set, E V2On a subset, G0=(ωij)n×nFor the cum rights of the network of having the right
Adjacency matrix.dself=[d1, selF, d2, selF ..., dN, self]TIt is corresponding with set of node V to spend column vector, wherein dI, selfFor
Node ViDegree.If βiFor with node ViThe weight sum on connected all sides, then [β1, β2..., βn]T=G0E, here e=
[1,1 ..., 1]T.Define G=(Gij)n×nMatrix, wherein G are contributed for G degreeij=ωijdI, self/βi。
By node criticality di(i=1,2 ..., n) is defined as the degree tribute of the degree and its all neighbors j of node i itself
Sum is offered, i.e.,
Then node criticality vector d is expressed in matrix as
D=dself+GTe
2) node power transfer ratio
The electric parameter of power system and node criticality are combined together structure pitch point importance index.Node
Maximum injection power (or maximum outflow power) reflects transfer level of the node to power, and node maximum injection power is bigger,
Represent that its carrying and conveying capacity to power is stronger.Therefore, node injecting power also reflects egress to a certain extent
Importance degree.When carrying out rack reconstruct as black starting-up power supply by the use of microgrid, it should preferentially recover front nodal point of having a power failure on a large scale as far as possible
The larger node of injecting power, to improve the ability to transmit electricity of system.Therefore, the power transfer ratio of node may be defined as
In formula:PI, inFor the maximum injection power of node i, PBFor power reference value.
3) pitch point importance
The power of the node criticality for reflecting power system network topological structure and reflection power system electric parameter is turned
Move coefficient to be combined, you can build the importance comprehensive evaluation index of node.The size of the charging capacitor of restoration path is certain
The degree of risk of system overvoltage is reflected in degree.Recover the larger circuit of charging capacitor with microgrid, microgrid may be caused
Idle and voltage regulation capability goes beyond the scope, so that the voltage cross border risk that systems face is higher.Therefore, the present invention chooses
The inverse of charging capacitor is as circuit weight, i.e., in G0In take ωij=1/cij, wherein cijFor circuit i-j charging capacitor.This
Sample, just the risk factors of circuit are taken into account in node criticality:Recover the bigger node of criticality, it is meant that recover
The charging capacitor in path is smaller, and correspondingly overvoltage risk is also smaller.Therefore, node criticality and power transfer are considered
Coefficient, the importance that can define the node i in electric power networks are
In formula:λ is pitch point importance regulation coefficient.After the importance of all nodes is obtained, it can be normalized with maximum
The importance of all nodes is normalized method.
Step 5, based on pitch point importance and path recovery time structure integration schedules evaluation index, it is to be restored to optimize
The restoration path of unit;
During microgrid reconstructs transmission of electricity rack, the path for selecting pitch point importance larger is recovered, and is advantageous to drop
The overvoltage risk of low system and the maintenance level for improving Power System Restoration Process.But the pitch point importance in path is got over
Greatly, its circuit number for passing through is general more, recovers that the time in the path is also longer, so as to recover the time of unit and load
Also can be more long.Therefore, when selecting restoration path, the time recovered used in the path should be also taken into account simultaneously, so just can guarantee that
Both meet the security constraint of recovery process, and meet the requirement for recovering unit and load as early as possible again.Between definition node p to node q
The evaluation index of the m articles restoration path is
In formula:Represent the node set of the m articles restoration path between node p and q;For required for restoration path m
Time;DkForInterior joint k importance;γ is path regulation coefficient, for characterizing during path is recovered to recovery time and
The preference of pitch point importance.
Interstitial content it is more, circuit number is also more,With regard to smaller, simultaneouslyMay be bigger.MinimizeRepresented implication is:The path that path selection circuit number is less and pitch point importance sum is maximum.Therefore, pass through
Path regulation coefficient γ is selected, is selected in all pathsRestoration path of the minimum path as node p to q, can be simultaneously
Recovery time and pitch point importance are taken into account, reaches the purpose of flexibly selection restoration path.Therefore the restoration path in rack reconstruct
Optimization aim may be defined as
Restoration path optimization aim described by the formula can rationally take into account path recovery time and pitch point importance, one
Determine to reduce the overvoltage risk for recovering unloaded transmission line of electricity in degree, it is ensured that the reactive power of micro-source inverter is not crossed the border.
Step 6, joint are combined using ant colony algorithm with quantum theory solves constructed meter and containing renewable at high proportion
Rack reconstruction model of the microgrid of the energy as black starting-up power supply;
Because object function is a Nonlinear Mixed Integer Programming Problem, it is difficult to solved by integer programming solver.
Quantum ant colony algorithm is a kind of effective ways of new solution nonlinear mixed-integer programming, is carried out using quantum ant colony algorithm
The key step of rack reconstruct is as follows:
1. confirm have a power failure on a large scale after major network each element state, into islet operation pattern microgrid MGCC to future time period
TpRES contribute and load is predicted, the net power exported according to microgrid prepares to start to recover non-black starting-up unit and reconstruct
Part transmission of electricity rack.The non-black starting-up set state of major network is updated in each time interval Δ t.
2. according to formulaCarry out the restoration path optimization of non-black starting-up unit.If solve
Route result be unsatisfactory for formulaThe cold start-up crash time constraint, then the unit must be postponed till cold
Start after starting the minimum critical time limit;If the route result solved is unsatisfactory for formulaThermal starting face
Boundary's time-constrain, then can be according to formulaSection 2 carry out path optimization, if being still unsatisfactory for heat
Start crash time constraint, then carry out path optimization according to the minimum number of lines, if can not still meet, the crash time constrains,
Then show that the non-black starting-up unit will be unable to be restored in a short time, the set of its from unit to be restored should be left out.
3. recover the suitable bee numbers N of scale selection in region according to systemb, QABC quantum dimension be treat it is extensive
Multiple non-black starting-up unit number of units.Encoded by the method for appendix C and initialize bee colony, with QABC Algorithm for Solving object functions
Unit recovers sequential optimization problem.
4. the Solution of Quantum 3. tried to achieve is subjected to solution space conversion, so as to obtain the unit starting moment of former solution space.
For a further understanding of the present invention, below by taking the node system of 10 machine of New England 39 as an example, to explain the present invention's
Practical application.
IEEE39 node systems have 39 nodes, and system is as shown in Figure 2.Assuming that the access of node 30 one of the system contains
The microgrid of regenerative resource at high proportion, its maximum active power output are 35MW, and the capacity accounting of regenerative resource is 35.5%.Storage
The maximum energy storage of energy device is 24MWh, and minimum 2.4MWh, charge efficiency and discharging efficiency are 0.85, maximum charge power
It is 4MW with discharge power.Energy storage device is mainly used in stabilizing the fluctuation and intermittence that wind-powered electricity generation and photovoltaic are contributed.If stop greatly
Energy storage device is in maximum energy storage state when electricity occurs, and its electric energy is constrained by the operation in the micro- source of energy-storage system.Schedulable unit
Maximum active power be 20MW, its climbing rate is 240MW/h.The maximum active power of common load is 24MW, wherein=
1100min ,=300min;The maximum active power 6MW of critical load, and be constant.The maximum installed capacity of Wind turbines is
7MW, the maximum installed capacity of photovoltaic generation is 4MW.
, it is necessary to predict that the RES in a following period contributes when microgrid is as black starting-up power supply, and according to non-black starting-up
The size that the startup power vacancy adjustment regenerative resource of unit is contributed.In general, night wind speed is big, without sunshine, so night
Late wind power output is larger, and it is 0 that photovoltaic, which is contributed,;Daytime, the small, sunshine of wind speed was abundant, and wind speed is contributed smaller, and photovoltaic is contributed larger.It is comprehensive
Conjunction obtains total power curve of microgrid regenerative resource as shown in Figure 3.
Power system is in ttrip=16:40 have a power failure on a large scale, and microgrid enters islet operation pattern through seamless switching.Stop greatly
After electricity, microgrid recovers to major network immediately, i.e., with ttripStart to recover for start time.Time step Δ t=5min is taken,
The state renewal for carrying out each non-black starting-up unit of a major network in i.e. every 5 minutes, predicted load and regenerative resource power output
Take average value in Δ t.Recovering the time needed for every circuit is taken as Δ t.T is taken according to the starting duration of each unitp=1h, i.e.,
The prediction period of the output of regenerative resource and payload is 1 hour in microgrid.
According to network topology and operational factor, the importance for trying to achieve each node is as shown in table 1.
The importance of each node in the system of 1 10 machine of table 39
In recovery process, microgrid and non-black starting-up unit should be larger as power supply point, its importance, therefore, can be by power supply
The importance of point is arranged to a larger numerical value.In rack reconstruction and optimization based on QABC, bee colony scale Nb=60, it is maximum
Population algebraically gmax=20, power reference value PB=100MW, pitch point importance regulation coefficient λ=0.5, penalty coefficient η=10,
Load coefficient ψ=5.In addition, calculate for convenience, willThe number of lines of restoration path is taken as, and takes path regulation coefficient
γ=0.1, it is optimized can obtain optimal restoration path result and unit recovery order it is as shown in table 2.
The restoration path optimum results of the non-black starting-up unit of table 2 and recovery order
Have a power failure on a large scale after generation, should preferentially recover in the case where startup power and security constraint meetAnd tRp, iSum is most
Small unit, recover non-black starting-up unit output as early as possible, increase the generating capacity of recovery system.Mould is reconstructed according to above rack
Type and parameter can be in the hope of the generating set recovered first should be node 37 or node 39, because node 39 faces with cold start-up
Boundary's time-constrain, it is necessary to start after being postponed till the cold start-up minimum critical time limit, therefore answer preferential recovery nodes 37.According to
Tidal current analysis result understands that the non-black starting-up unit of recovery nodes 37 meets microgrid service requirement and system voltage to be restored about
Beam, therefore available microgrid recovers the non-black starting-up unit positioned at node 37, is that it provides startup power.Node 37 it is non-black
After startup unit generates electricity by way of merging two or more grid systems, the system formed using microgrid and the non-black starting-up unit is power supply, according to the path optimization of table 2
As a result, further recover remaining non-black starting-up unit and reconstruct power transmission network frame.Counted and containing regenerative resource at high proportion more than
The final goal rack that obtains as the rack reconstruction model of black starting-up power supply of microgrid as shown in the RED sector of accompanying drawing 3.
After obtaining final goal rack, 25% pair of target of total load recovers rack and carries out trend during recovering load as normal operation
Calculate, the results showed that the network constraint condition that target net meets.
Reconstructed according to meter proposed by the present invention and the microgrid containing regenerative resource at high proportion as the rack of black starting-up power supply
Optimisation strategy, obtain the active power of the external output of microgrid and after having a power failure on a large scale microgrid cutting load amount respectively such as accompanying drawing 4 and attached
Shown in Fig. 5.
It can be seen that by accompanying drawing 4:At t=4 Δs t=20min (hereafter the time is in units of min), microgrid is as black
Startup power supply starts to provide startup power for the generating set of node 37.Regenerative resource, which is contributed, due to energy-storage system is had
Leveling, during the entire process of the non-black starting-up unit starting of node 37, the startup power that the unit obtains is kept not
Become.In t=60min, the generating set of node 37 is grid-connected and starts power output.Hereafter a period of time, because microgrid need to be
Its internal load provides active power, therefore its external power output is 0;After t=240min, due to microgrid internal load
Decline, microgrid starts externally to export dump power, and does not consider the leveling of energy-storage system in this stage.
Accompanying drawing 5 is the load loss amount curve inside microgrid after having a power failure on a large scale, and due to penalizing the presence of item, microgrid has cut off one
Quantitative common load is used to start the non-black starting-up unit of First.As shown in Figure 5, in this time of t=20~60min
Section, microgrid have cut off its internal common load in part and have been used to provide the startup power needed for the non-black starting-up unit of node 37;
In whole recovery process, the startup power demand of non-black starting-up unit has been disclosure satisfy that after the common load in excision microgrid.
Therefore, critical load resection curve and horizontal overlapping of axles (as shown in red lines), expression are not cut off in microgrid in accompanying drawing 5
Critical load.The reason for common load resection curve and not parallel trunnion axis is:Because wind-powered electricity generation and photovoltaic are not up to specified
Contribute, so as to cause the net power in all micro- sources can not meet the needs of all loads inside microgrid, therefore had a power failure on a large scale in major network
Afterwards, the common load loss amount in part is produced.For example, t=20~60min common load loss amount contains two in accompanying drawing 5
Point:A part is the startup power of node 37, and another part is microgrid net power deficiency and the common load in caused inside damages
Vector;In addition, the common load loss amount after t >=60min is also in that the net power of microgrid is insufficient and caused.
By calculating, whole system Restoration stage, the electric energy that microgrid provides to major network is 9.6MWh, and microgrid is sent
Electric energy be 123.6MWh, the electric energy that wherein Wind turbines are sent is 11.8MWh, and the electric energy that photovoltaic unit is sent is 1.9MWh,
The electric energy that schedulable unit is sent is 91.7MWh, and the electric energy that energy-storage system provides is 18.3MWh;Common load inside microgrid
Energy loss be 18.8MWh.As a result show, the microgrid containing regenerative resource at high proportion disclosure satisfy that have a power failure on a large scale after major network it is non-
The electrical energy demands of the common load of critical load and part inside the electrical energy demands and microgrid of black starting-up unit, system were recovered
The electric energy accounting that regenerative resource is sent in journey is about 11.1%, has higher renewable energy utilization rate.
Analyzed more than, it is seen that proposed by the present invention that black starting-up power supply is made using the microgrid containing regenerative resource at high proportion
Rack reconstruction strategy, there is certain feasibility and validity, in the case of system convention black starting-up inadequate resource, use
Microgrid can provide startup power and electric energy as black starting-up power supply for non-black starting-up unit, recover non-black starting-up machine quickly
Group, reach the purpose of rack reconstruct.
Obviously, the above embodiment of the present invention is only intended to clearly illustrate example of the present invention, and is not pair
The restriction of embodiments of the present invention.For those of ordinary skill in the field, may be used also on the basis of the above description
To make other changes in different forms.There is no necessity and possibility to exhaust all the enbodiments.It is all this
All any modification, equivalent and improvement made within the spirit and principle of invention etc., should be included in the claims in the present invention
Protection domain within.
Claims (7)
1. the power system rack reconstruction and optimization method of meter and microgrid as black starting-up power supply, it is characterised in that including step:
S1. analysis proposes meter and microgrid containing advantage and its feasibility of the regenerative resource microgrid as black starting-up power supply at high proportion
Operating process as the non-black starting-up unit of black starting-up power up;
S2. built and counted and microgrid for target using the load loss amount for maximizing the generating capacity of recovery system and minimizing in microgrid
Rack reconstruction and optimization model as black starting-up power supply;
S3. according to the topological parameter and electric parameter of electric power networks, based on pitch point importance and path recovery time structure synthesis
Path evaluation index reconstructs electric power rack to optimize the restoration path of unit to be restored;
S4. joint is combined with quantum theory using ant colony algorithm and solves constructed meter and containing the micro- of regenerative resource at high proportion
Rack reconstruction model of the net as black starting-up power supply.
2. the power system rack reconstruction and optimization method of meter according to claim 1 and microgrid as black starting-up power supply, its
It is characterised by, it is proposed that the operating process of meter and microgrid as the non-black starting-up unit of black starting-up power up, including:
1. the confirmation that system is had a power failure on a large scale;In normal operation, microgrid is in grid-connected state, when microgrid central controller detects
To after major network failure, island operation state, microgrid central controller control energy-storage system are entered by the automatic off-grid of seamless switching
Inverter control mode is switched into Vf controls with micro- source controller of schedulable unit, dispatched through microgrid dispatcher and major network
People communication gets in touch with, and is confirmed whether to have a power failure on a large scale, if not having a power failure on a large scale, microgrid switches to grid-connected by seamless switching technique
Operational mode;If having a power failure on a large scale, t=0 is remembered, and perform step 2., 3., 4. and 5.;
2. input and each element state of major network of renewal microgrid central controller storage, determine a need for microgrid to be treated in major network
Recover unit and startup power is provided, when major network system is completely black or has recovered the power output of unit and be not enough to start next and treat
When recovering unit, microgrid will provide startup power as black starting-up power supply for non-black starting-up unit;
3. microgrid central controller detects to microgrid inner member state, including energy-storage system electric energy, schedulable unit go out
Power state;Meanwhile microgrid central controller is to short-term period TpInterior regenerative resource is contributed and payload is predicted;Sentence
Disconnected TpWhether the net power that interior microgrid takes no account of itself internal load meets the non-black starting-up unit starting power requirement of target;Tp's
It is determined that the startup time correlation with the non-black starting-up unit of current goal, described microgrid is contributed and at least should ensure that a non-black starting-up
Unit can continue to obtain startup power until its is grid-connected;
If 4. TpThe net power of interior microgrid meets requirement, then microgrid can be integrally the non-black starting-up machine of major network as black starting-up power supply
Group provides startup power, meanwhile, calculated load loss amount, if microgrid net power can meet that itself load and non-black starting-up unit open
Dynamic power, then the load in microgrid need not be cut off, i.e. the load loss amount of microgrid is 0;Otherwise, will be produced in microgrid certain
Load loss, if now microgrid net power can not meet the requirement of non-black starting-up unit starting power, microgrid will keep isolated island
Running status;
5. if microgrid does not provide power to major network, t=t+1 is made;Otherwise, t=t+t is madexi, txiFor the non-black starting-up unit of target
Start the time, step is continued executing with 2., 3. and 4., untill all units have recovered.
3. the power system rack reconstruction and optimization method of meter according to claim 1 and microgrid as black starting-up power supply, its
It is characterised by, is counted using the load loss amount for maximizing the generating capacity of recovery system and minimizing in microgrid as target structure and micro-
Rack reconstruction and optimization model of the net as black starting-up power supply, including:
Generating capacity of the invention to maximize recovery system is target, i.e.,
In formula:SNBSFor non-black starting-up unit node set;PSyn, i, tAnd PSt, i, tThe respectively non-black starting-up unit of moment t node is
The output and its startup power recovered;PM, tThe power provided for moment t microgrid;uI, tIt is non-black when node i for two-valued variable
It is 1 to start unit its value when moment t obtains startup power, is otherwise 0;
Critical load is different with the significance level of common load in meter and microgrid, and the load loss amount inside microgrid is represented by
In formula:NTFor the rack reconstruct time used;WithThe common load and key that expression is cut off respectively are born
The function that the active power of lotus changes over time;ψ is load coefficient, represents the significance level of the relatively common load of critical load;
Can be by calculating rectangular area sum come its constant volume score value of approximate calculation, i.e.,
In formula:WithThe active power of the common load and critical load of respectively moment t excisions;Meter and rack reconstructed
The load loss amount of microgrid in journey, using the formula as penalty term, obtain present invention meter and containing can make at high proportion in the microgrid of the energy
For the object function of the rack reconstruction and optimization strategy of black starting-up power supply, i.e.,
In formula:η is penalty coefficient, represents the punishment degree to microgrid load loss amount.
4. the power system rack reconstruction and optimization method of meter according to claim 1 and microgrid as black starting-up power supply, its
It is characterised by, is counted using the load loss amount for maximizing the generating capacity of recovery system and minimizing in microgrid as target structure and micro-
Rack reconstruction and optimization model of the net as black starting-up power supply, including:It is determined that meter and microgrid reconstruct as the rack of black starting-up power supply
The constraints of Optimized model;
1) microgrid constrains
Micro- source in microgrid represents with subscript w, SRESFor Wind turbines and photovoltaic array set, SESSFor energy-storage system set, SDU
For schedulable unit set.Microgrid need to meet to constrain as follows in moment t:
In formula:WithThe respectively minimum and maximum active power of microgrid output,For the maximum idle of microgrid output
Power;WithThe minimum and maximum active power of respectively micro- source output,For the maximum idle work(of micro- source output
Rate;PM,w,tThe active power exported for DU in moment t, UM,wAnd DM,wRespectively DU up climbing rate and descending climbing rate;WithRespectively moment t ESS charge power and discharge power,WithRespectively ESS maximum
Charge power and maximum discharge power, EM,w,tThe electric energy stored for ESS in moment t,WithStored by respectively ESS
The maximum and minimum value of electric energy,WithRespectively ESS charge efficiency and discharging efficiency, τ are moment t -1 to moment t
Time interval;PDL(t) it is the active power of the common loads of moment t, PULFor the active power of critical load;
2) non-black starting-up Unit commitment
The active power model of the non-black starting-up unit output of node i need to meet to constrain as follows:
In formula:tcrk,iAnd trp,iThe respectively Startup time of the non-black starting-up unit and startup time,For the maximum of its output
Active power, Rr,iFor the non-black starting-up unit climbing rate;The maximum idle work(exported for the non-black starting-up unit of node i
Rate;tmin,iFor the cold start-up minimum critical time limit of the non-black starting-up unit of node i;tmax,iFor the non-black starting-up unit of node i
The thermal starting maximum critical moment;NresTo have recovered unit set;x∈SNBS\Nres, i.e. x should belong to non-black starting-up unit set
SNBSUnit set N is recoveredresSupplementary set;
3) network constraint
To ensure major network safe and stable operation, the target net of structure need to meet to constrain as follows:
In formula:J ∈ i represent that node j is connected with node i, Ui、PiAnd QiRespectively the busbar voltage of node i, inject the node
Active power and reactive power, GijAnd BijRespectively circuit i-j conductance and over the ground susceptance, θijFor node i and node j
Phase angle difference, SGFor the node set of target net;SijFor circuit i-j trend,For circuit i-j maximum transmission line capability;WithThe respectively upper and lower bound of the busbar voltage of node i.
5. the power system rack reconstruction and optimization method of meter according to claim 1 and microgrid as black starting-up power supply, its
It is characterised by, integration schedules evaluation index is built to optimize the extensive of unit to be restored based on pitch point importance and path recovery time
Multiple path, and then electric power rack is reconstructed, including:Importance evaluation is carried out to the node of power system;
The present invention considers the attribute of neighbor node, and utilizes power system node parameter, it is proposed that a kind of new power system
Pitch point importance evaluation of programme:
1) node criticality
If G=(V, E) is a non-directed graph of having the right, V={ V1, V2..., VnIt is vertex set, E V2On a subset, G0=
(ωij)n×nFor the weighted adjacency matrix of the network of having the right.dself=[d1, self, d2, self..., dN, self]TIt is and V pairs of set of node
The degree column vector answered, wherein dI, selfFor node ViDegree.If βiFor with node ViThe weight sum on connected all sides, then [β1,
β2..., βn]T=G0E, here e=[1,1 ..., 1]T.Define G=(Gij)n×nMatrix, wherein G are contributed for G degreeij=ωijdI, self/βi;
By node criticality di(i=1,2 ..., n) is defined as the degree of node i itself and its all neighbors j degree contribution sum,
I.e.
Then node criticality vector d is expressed in matrix as
D=dself+GTe
2) node power transfer ratio
The electric parameter of power system and node criticality are combined together structure pitch point importance index, the power of node turns
Coefficient is moved to be defined as
In formula:PI, inFor the maximum injection power of node i, PBFor power reference value;
3) pitch point importance
The present invention chooses the inverse of charging capacitor as circuit weight, i.e., in G0In take ωij=1/cij, wherein cijFor circuit i-j
Charging capacitor.Consider node criticality and power transfer ratio, the importance of the node i in electric power networks can be defined
For
In formula:λ is pitch point importance regulation coefficient.
6. the power system rack reconstruction and optimization method of meter according to claim 1 and microgrid as black starting-up power supply, its
It is characterised by, integration schedules evaluation index is built to optimize the extensive of unit to be restored based on pitch point importance and path recovery time
Multiple path, and then electric power rack is reconstructed, including:Referred to based on pitch point importance and the structure integration schedules evaluation of path recovery time
Mark, to optimize the restoration path of unit to be restored;
When selecting restoration path, the path for selecting pitch point importance larger is recovered, and advantageously reduces the overvoltage wind of system
Danger and the maintenance level for improving Power System Restoration Process;The time used in the recovery path, such ability should be also taken into account simultaneously
Ensure the security constraint for both having met recovery process, meet the requirement for recovering unit and load as early as possible again;Definition node p to node q
Between the evaluation index of the m articles restoration path be
In formula:Represent the node set of the m articles restoration path between node p and q;For required for restoration path m when
Between;DkForInterior joint k importance;γ is path regulation coefficient;
Therefore the optimization aim of the restoration path in rack reconstruct may be defined as
7. the power system rack reconstruction and optimization method of meter according to claim 1 and microgrid as black starting-up power supply, its
It is characterised by, joint is combined with quantum theory using ant colony algorithm and solves constructed meter and containing regenerative resource at high proportion
Rack reconstruction model of the microgrid as black starting-up power supply, including:
The key step that rack reconstruct is carried out using quantum ant colony algorithm is as follows:
1. confirm have a power failure on a large scale after major network each element state, into islet operation pattern microgrid MGCC to future time period TpRES
Contribute and load is predicted, the net power exported according to microgrid prepares to start to recover non-black starting-up unit and reconstructs part transmission of electricity
Rack.The non-black starting-up set state of major network is updated in each time interval Δ t;
2. according to formulaCarry out the restoration path optimization of non-black starting-up unit;If the road solved
Footpath result is unsatisfactory for formulaThe cold start-up crash time constraint, then the unit must postpone till cold start-up
Minimum critical starts after the time limit;If the route result solved is unsatisfactory for formulaThermal starting it is critical when
Between constrain, then can be according to formulaSection 2 carry out path optimization, face if being still unsatisfactory for thermal starting
Boundary's time-constrain, then path optimization is carried out according to the minimum number of lines, the crash time constrains if can not still meet, shows this
Non- black starting-up unit will be unable to be restored in a short time, should leave out the set of its from unit to be restored;
3. recover the suitable bee numbers N of scale selection in region according to systemb, QABC quantum dimension is to be restored non-
Black starting-up unit number of units.Encoded by the method for appendix C and initialize bee colony, recovered with the unit of QABC Algorithm for Solving object functions
Sequential optimization problem;
4. the Solution of Quantum 3. tried to achieve is subjected to solution space conversion, so as to obtain the unit starting moment of former solution space.
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