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 PDF

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CN107862405A
CN107862405A CN201711041939.2A CN201711041939A CN107862405A CN 107862405 A CN107862405 A CN 107862405A CN 201711041939 A CN201711041939 A CN 201711041939A CN 107862405 A CN107862405 A CN 107862405A
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龙霏
林建熙
李力
赵昱宣
韩畅
林振智
文福拴
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Electric Power Dispatch Control Center of Guangdong Power Grid Co Ltd
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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

The power system rack reconstruction and optimization method of meter and microgrid as black starting-up power supply
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 GijijdI, selfi
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 degreeijijdI, selfi
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 degreeijijdI, selfi
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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