CN108599270A - A kind of electrical power system wide-area coordination consumption method considering wind-powered electricity generation randomness - Google Patents
A kind of electrical power system wide-area coordination consumption method considering wind-powered electricity generation randomness Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
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- H—ELECTRICITY
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
- H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
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Abstract
A kind of electrical power system wide-area coordination consumption method considering wind-powered electricity generation randomness, the described method comprises the following steps：A. it is several relatively independent regions by the decoupling of multi area interconnection power grid；B. the multizone dynamic economic dispatch model under the prediction scene for not considering wind-powered electricity generation randomness is established；C. the stochastic and dynamic economic load dispatching model for introducing wind-powered electricity generation error scene is established；D. the whole network dispersion optimization problem and region stochastic optimization problems are alternately solved, the angle values of each boundary node are obtained.Present invention employs multi-agent technologies, can not only ensure data-privacy and dispatch the extensive random wind-powered electricity generation of independent consumption, but also can realize the mutual supplement with each other's advantages of different zones wind power resources so that power grid copes with the randomness of wind-powered electricity generation there are more nargin.This method solves the whole network dispersion dynamic economic dispatch model and each region stochastic and dynamic Economic Dispatch Problem using target cascade analytic approach, and calculating speed is very fast, is suitable for solving large scale electric network dynamic economic dispatch problem.
Description
Technical field
The present invention relates to one kind ensuring data-privacy and dispatching the extensive random wind-powered electricity generation of independent consumption
Method, belong to transmission ＆ distribution electro-technical field.
Background technology
Quick continuous growth with wind capacity integrated into grid in China, Wind Power Development have gradually formed intensive power generation, concentration
The power supply pattern of the grid-connected, energy and load contrary distribution, the randomness and intermittence of wind-power electricity generation make traditional dispatching of power netwoks
Control mode is difficult to effectively to solve large-scale wind power and goes out fluctuation, and large-scale wind power coordinates digestion capability problem and has become wind-powered electricity generation
The bottleneck of sustainable development.Coordination for large-scale wind power dissolves problem, is broadly divided into following several.
The scene being likely to occur containing a large amount of wind power outputs in stochastic and dynamic economic load dispatching model based on scene method utilizes
These scenes represent the fluctuation of wind power output.When scene negligible amounts, this method cannot effectively reflect system operation cost
Mean value；When scene quantity is more, this method calculation amount is too big.Therefore, the electric power system dispatching model of more scenes is needed according to reality
The history run of border system chooses typical scene, and calculates the corresponding probability of each scene.
The basic thought of economic load dispatching model based on chance constraint is to ensure that system in the case of wind-powered electricity generation random fluctuation
Constraints can be set up under certain confidence level.Although generation of electricity by new energy, which is contributed, has certain randomness, its is pre-
Surveying error distribution has certain rule.The stochastic variable in constraints is considered, by strictly setting up not in constraints
Equality constraint is converted into the chance constraint set up in certain confidence level, builds the Economic Dispatch mould of chance constraint
Type can preferably describe the uncertainty that stochastic variable is brought.
Robust economic load dispatching is intended to find out wind power output the worst scene maximum to the safety of system and economic influence,
By establishing the uncertain set of rational wind power output, it is ensured that the generations of electricity by new energy such as wind-powered electricity generation are contributed appointing in prediction error range
It anticipates a kind of scene, electric system can safe operation；By the control to system operation cost under the worst scene, system warp is realized
Ji operation, it is ensured that the system operation cost under other any scenes is not higher than the system operation cost under the worst scene.
The characteristics of based on modern power systems layering and zoning interconnected operation, multi-stage power control centre implement interacted system
Decentralized coordinating scheduling is a kind of efficient scheduling method.It is proposed that (meter and wind-powered electricity generation space-time are complementary for multilevel coordination scheduling method
The interconnected network active power dispatch of characteristic and control program electric power system protection and controls, 2014,42 (21)：P140-144), it
The feature for making full use of the complementation of wind-powered electricity generation space-time is uniformly coordinated the spare and peak regulation arrangement of multiple regions.Also it is proposed that classification
The interconnected network active power dispatch scheme for coordinating control (adapts to the interconnected network active power dispatch and controlling party of large-scale wind power access
Case Automation of Electric Systems, 2010,34 (17)：37-41), in-situ balancing and the whole network uniform balance side of grading control are realized
Formula solves the problems, such as the wasting of resources of decentralised control and difficult coordination.Somebody proposes a kind of based on target cascade analysis
Decentralized coordinating Risk Scheduling method (the decentralized coordinating Risk Scheduling method electrical engineering journals of multi-region interconnected electric power system,
2015,35 (14)：3724-3733), higher level dispatches the Coordination Treatment of dominant eigenvalues between realization interconnection region, and subordinate's scheduling is real
Now each sub- power grid risk constrained dispatch scheme.Independent operating is dispatched by the subordinate of each subsystem, ensures that the autonomous of subsystems is adjusted
Control；Higher level's optimizing scheduling dominant eigenvalues, realize the economical operation of total system.
Conventional Economic Dispatch problem is carried out in the frame of centralized optimization, and control centre is to the whole network machine
Group is contributed and is scheduled, therefore control centre needs to handle mass data, be easy to cause communication blocking, nor is conducive to multi-region
The scheduling independence and data privacy of each regional power grid in the electric system of domain.
Multizone dynamic economic dispatch problem is solved and can be solved the above problems using hierarchy optimization scheduling model,
The each level task-aware of hierarchy optimization scheduling model, control centre of subordinate is only and higher level control centre exchanges data, each region
Without exchanging data between control centre, the data confidentiality inside region is realized.But levels optimization aim may not
Together, it is unfavorable for seeking globally optimal solution, and needs that higher level control centre is arranged, scheduling structure is relative complex, it is therefore necessary into
One step is improved.
Invention content
It is an object of the invention to be directed to the drawback of the prior art, it is wide to provide a kind of electric system of consideration wind-powered electricity generation randomness
Consumption method is coordinated in domain, to realize that the wide area of wind power output coordinates consumption.
Problem of the present invention is solved with following technical proposals：
A kind of electrical power system wide-area coordination consumption method considering wind-powered electricity generation randomness, the described method comprises the following steps：
A. it is several relatively independent regions by the decoupling of multi area interconnection power grid, passes through contact line boundary between different zones
Node variable interconnects；
B. the multizone dynamic economic dispatch model under the prediction scene for not considering wind-powered electricity generation randomness is established：
1. establishing centralized multizone dynamic economic dispatch model：
Wherein, Ba、DaAnd EaFor the coefficient matrix of the regions a internal constraint equation；PaFired power generating unit for the areas a goes out force vector；
θaFor the areas a internal node voltages phase angle vector；In the interconnection boundary node in the areas a, ZaaTo belong to the node set in the areas a, Zab
To be not belonging to the node set in the areas a；M, n is boundary node； The phase angle of m, n node respectively in the areas a in moment t
Value,The angle values of m, n node respectively in the areas b in moment t；faFor the power generation expense in the areas a expense is punished with wind is abandoned
The sum of with, i.e.,：
Wherein,The respectively power generation cost coefficient of the areas a conventional power unit i；Q is to abandon wind penalty coefficient；
For the areas a conventional power unit i period t active power output,For the areas a wind power plant w period t prediction active power output,For
Scheduling active power output of the wind power plant in period t；N is overall area number, NTHop count when to dispatch total,For the total conventional power units of a Qu
Number,For the total wind-powered electricity generation number of fields of a Qu；
2. solving multizone dynamic economic dispatch model using target cascade analytic approach (ATC) based on multi-agent technology：
Each regional agency (Agent) is built in subregion after each decomposition, then builds a virtual chief coordinator
Above-mentioned centralized dynamic economic dispatch model is divided into optimization of region subproblem and chief coordinator's primal problem by Agent：
Each regional power grid optimization subproblem model is as follows：
Wherein,For the Lagrange multiplier in coupling constraint,For quadratic penalty function multiplier；The boundary node angle values of subproblem are issued to for kth time iteration chief coordinator's primal problem；It is respectively each
Boundary node angle values in regional power grid；
Chief coordinator's primal problem model is as follows：
Wherein,The respectively boundary node angle values of chief coordinator Agent；It is each for kth time iteration
Regional power grid subproblem uploads to the boundary node angle values of chief coordinator Agent；
3. iteratively solving main and sub problem；
C. the stochastic and dynamic economic load dispatching model for introducing wind-powered electricity generation error scene is established, the specific method is as follows：
1. the error scene subproblem of each regional power grid
Object function：
Wherein, S is error scene number；psThe probability occurred for s-th of scene；ΔWw,t,sIt is w-th under s-th of scene
Wind power plant abandons wind power, Δ D moment t'st,sFor the virtual cutting load power of s-th of scene lower moment t；Q is to abandon wind punishment system
Number；cdFor virtual cutting load rejection penalty；NTTo dispatch total period；NWFor wind power plant sum；
Constraints：
Region internal node DC power flow equation：
Wherein,It is that fired power generating unit of the areas a in period t goes out force vector under s-th of scene,For wind power plant tune
Spend force vector,For node load vector；SBFor trend a reference value；BaIgnore branch resistance for the areas a and to ground leg
Node admittance matrix；For the areas a under s-th of scene period t node phase angle vector；
Fired power generating unit output bound constrains：
Wherein,WithThe respectively active power output lower and upper limit of fired power generating unit i；For the areas a under s-th of scene
Active power outputs of the conventional power unit i in period t；
Wind turbines output bound constrains：
Wherein,For the areas a wind power plant w period t prediction active power output；
Unit is climbed to be constrained with landslide：
Wherein,WithThe active power output of respectively unit i is climbed and landslide limitation；NTFor the total activation period；
Line transmission power constraint：
Wherein,For the areas a under s-th of scene circuit kl period t transmission power value；Respectively
Angle values of s-th of scene lower node k, l in moment t；For the maximum transmission power value of the circuit；For the electricity of circuit kl
Anti- value；
Same period prediction scene is constrained with the output regulations speed under error scene：
-Δi≤Pi,t-Pi,t,s≤Δi
Wherein, ΔiThe output increment that can be adjusted rapidly in 10 minutes for fired power generating unit i；Pi,tTo be somebody's turn to do under prediction scene
Active power outputs of the conventional power unit i in period t in region；Pi,t,sConventional power unit i having in period t in the region under s-th of scene
Work(is contributed；
Boundary node angle values constrain：
Wherein,Under respectively s-th of scene and predict that region a interior joints m is in the node phase of period t under scene
Angle value；It Wei not node angle values of the region a interior joints n in period t under s-th of scene and under prediction scene；
2. predicting scene primal problem
Object function：
Wherein,For the intermediate variable in the regions a, D is the number of intermediate variable；FaFor optimal cutling coefficient vector；Ma、Na
For optimal cutling coefficient matrix；E is unit vector；Go out the transposition of force vector for the fired power generating unit in the areas a；To be saved inside the areas a
The transposition of point voltage phase angle vector；
D. the whole network dispersion optimization problem and region stochastic optimization problems are alternately solved, the angle values of each boundary node are obtained.
The electrical power system wide-area of above-mentioned consideration wind-powered electricity generation randomness coordinates consumption method, the multizone dynamic economic dispatch mould
The constraints of type is as follows：
1. region internal constraints
The areas a node DC power flow equation is：
Wherein,Conventional power unit for period t goes out force vector,Wind power plant for period t dispatches out force vector,For the node load vector of period t；SBFor trend a reference value；BaTo ignore branch resistance and to the node admittance of ground leg
Matrix；For the node phase angle vector of period t；
2. fired power generating unit output bound constrains：
Wherein,WithThe respectively active power output lower and upper limit of fired power generating unit i；
3. Wind turbines output bound constrains：
It is constrained with landslide 4. unit is climbed：
Wherein,WithThe active power output of respectively unit i is climbed and landslide limitation；
5. line transmission power constraint is：
Wherein,For circuit kl moment t transmission power value,For the maximum transmission power value of the circuit；WithRespectively phase angles of node k, the l in moment t；For the reactance value of circuit kl；
6. interregional coupling constraint
Boundary node power-balance constraint between domain of the existence between two adjacent area of a, b of interconnection is：
Wherein, m, n are boundary node, and Z is the interregional boundary node set of entire multi-region electric network；
Boundary node angle values of respectively region a, the b in moment t.
The electrical power system wide-area of above-mentioned consideration wind-powered electricity generation randomness coordinates consumption method, when iteratively solving main and sub problem, needs
Update penalty function multiplierSo that the boundary node angle values that main and sub problem solving goes out tend to be equal, penalty function multiplies
Sub more new formula is as follows：
Wherein, α is the parameter for adjusting step-length, and under normal circumstances, step-length value range is [1,3]；
Judge that the formula of algorithmic statement is：
Wherein, ε is convergence precision.
Present invention employs multi-agent technologies, can not only ensure data-privacy and dispatch the big rule of independent consumption
The random wind-powered electricity generation of mould, and can realize the mutual supplement with each other's advantages of different zones wind power resources, it realizes that wind power output wide area coordinates consumption, makes
Obtain the randomness that power grid copes with wind-powered electricity generation there are more nargin.This method solves the whole network dispersion using target cascade analytic approach and moves
State economic load dispatching model and each region stochastic and dynamic Economic Dispatch Problem, calculating speed is very fast, is suitable for solving extensive electricity
Net dynamic economic dispatch problem.
Description of the drawings
The invention will be further described below in conjunction with the accompanying drawings.
Fig. 1 is that electrical power system wide-area coordinates consumption method flow diagram；
Fig. 2 is IEEE-39 standard test system figures.
Each symbol is expressed as in text：By taking a of region as an example,WithThe respectively active power output lower limit of fired power generating unit i
And the upper limit；For the maximum transmission power value of circuit kl；For conventional power unit i moment t active power output；For circuit
Kl moment t transmission power value,For the areas a under s-th of scene circuit kl period t transmission power value；It is
The active power output of conventional power unit i under s scene in moment t；psThe probability occurred for s-th of scene；For the normal of period t
Unit output vector is advised,It is that fired power generating unit of the areas a in period t goes out force vector under s-th of scene,Exist for wind power plant w
The prediction of period t is contributed；Wind power plant for period t dispatches out force vector,Force vector is dispatched out for wind power plant,
For the node load vector of period t；For node load vector；PaFired power generating unit for the areas a goes out force vector；FaIt is cut to be optimal
Cut coefficient vector；faFor the areas a power generation expense and abandon the sum of wind rejection penalty；SBFor trend a reference value；Z is entire multizone electricity
The interregional boundary node set of net；α is the parameter for adjusting step-length；ε is convergence precision；Ba、DaAnd EaFor the regions a internal constraint
The coefficient matrix of equation；ZaaTo belong to the node set in the areas a, ZabTo be not belonging to the node set in the areas a；N is overall area number；m、n
For boundary node；For the Lagrange multiplier in coupling constraint,For quadratic penalty function multiplier；S
For error scene number；ΔWw,t,sFor w-th of wind power plant under s-th of scene wind power, Δ D are abandoned in moment tt,sIt is s-th
The virtual cutting load power of scape lower moment t；cdFor virtual cutting load rejection penalty；NTFor the total activation period；NWIt is total for wind power plant
Number；BaIgnore branch resistance for the areas a and to the node admittance matrix of ground leg；WithThe active power output of respectively unit i is climbed
Slope and landslide limit；For the reactance value of circuit kl；ΔiIncrease for the output that fired power generating unit i can be adjusted rapidly in 10 minutes
Amount；For the intermediate variable in the regions a；D is the number of intermediate variable；Ma、NaFor optimal cutling coefficient matrix；E is unit vector；Go out the transposition of force vector for the fired power generating unit in the areas a；For the transposition of the areas a internal node voltages phase angle vector；
Angle values of respectively s-th of scene lower node k, the l in moment t；θaFor the areas a internal node voltages phase angle vector；It is s-th
Node phase angle vector of the areas a in period t under scene；WithRespectively phase angles of node k, the l in moment t；Point
It Wei not node angle values of the region a interior joints m in period t under s-th of scene and under prediction scene；It Wei not be s-th
Under scene and predict that region a interior joints n is in the node angle values of period t under scene；For kth time each region of iteration
Power grid subproblem uploads to the boundary node angle values of chief coordinator Agent；For kth time iteration chief coordinator's primal problem
It is issued to the boundary node angle values of subproblem；Boundary node angle values in respectively each regional power grid；The respectively boundary node angle values of chief coordinator Agent；For the node phase angle vector of period t.
Specific implementation mode
The present invention provides a kind of electrical power system wide-areas considering wind-powered electricity generation randomness to coordinate consumption method, and specific steps are such as
Under：
1, collaboration optimization is decomposed to multi-region electric network, introduces interconnection variable and establishes interregional coupling constraint, specific side
Method is as follows：
It is that several relatively independent regions carry out coordinated scheduling, the electric power subsystem after subregion by the decoupling of multi area interconnection power grid
System is interconnected by interconnection boundary node variable.By a, b two is interregional have an interconnection for, among two region a, b
Interconnection boundary node m, n are replicated one time, then the same node should be equal in different zones variable, meets following coupling about
Beam：
Wherein,The respectively phase angle of node m, n；Respectively circuits of node m, the n to breaking point
Reactance；The effective power flow of breaking point is flowed to for the node m in the regions a,Having for breaking point is flowed to for b regional nodes n
Work(trend.Similarly, the interconnection coboundary node variable in power grid between other regions is also as above replicated.
2, the multizone dynamic economic dispatch model under the prediction scene for not considering wind-powered electricity generation randomness is established, specific method is such as
Under：
According to above-mentioned zone decomposition principle, the multizone dynamic economic dispatch model of centralization can be established, to simplify mould
Type, it is assumed that：1) using the direct current optimal power flow model for not considering loss, if node voltage amplitude is 1；2) power generation of fired power generating unit
Expense is expressed using secondary convex function.
(1) object function
To minimize total power generation expense of all conventional power units in each region of the whole network (fired power generating unit) within dispatching cycle and abandon
The sum of wind rejection penalty is target, i.e.,：
Wherein,The respectively power generation cost coefficient of the areas a conventional power unit i；Q is to abandon wind penalty coefficient；
For the areas a conventional power unit i period t useful output,For the areas a wind power plant w period t prediction active power output,For
Scheduling active power output of the wind power plant in period t；N is overall area number, NTHop count when to dispatch total,For the total conventional power units of a Qu
Number,For the total wind-powered electricity generation number of fields of a Qu.
(2) region internal constraints
By taking the areas a as an example：
Node DC power flow equation is：
Wherein,Conventional power unit for period t goes out force vector,Wind power plant for period t dispatches out force vector,
For the node load vector of period t；SBFor trend a reference value, if it is 100MVA；BaTo ignore branch resistance and to ground leg
Node admittance matrix；For the node phase angle vector of period t.
Fired power generating unit output bound constrains：
Wherein,WithThe respectively active power output lower and upper limit of fired power generating unit i.
Wind turbines output bound constrains：
Unit is climbed to be constrained with landslide：
Wherein,WithThe active power output of respectively unit i is climbed and landslide limitation.
Line transmission power constraint is：
Wherein,For circuit kl moment t transmission power value,For the maximum transmission power value of the circuit；WithRespectively phase angles of node k, the l in moment t；For the reactance value of circuit kl.
(3) interregional coupling constraint
By taking two adjacent area of a, b as an example, there is interregional interconnection, boundary node i, j, then the region a, b therebetween
Between boundary node power-balance constraint be：
Wherein, Z is the interregional boundary node set of entire multi-region electric network.
(4) centralized multizone dynamic economic dispatch model
So in conclusion centralized multizone dynamic economic dispatch model can be written as following form：
Wherein, faFor the areas a power generation expense and abandon the sum of wind rejection penalty；Ba、DaAnd EaFor the regions a internal constraint equation
Coefficient matrix；PaFired power generating unit for the areas a goes out force vector；θaFor the areas a internal node voltages phase angle vector, θaIt is saved for the areas a boundary
The phase angle vector of point；In the interconnection boundary node in the areas a, ZaaTo belong to the node set in the areas a, ZabTo be not belonging to the section in the areas a
Point set.
(5) it is based on multi-agent technology and cascades analytic approach solving model using target
Target cascade analytic approach (ATC) is mainly used for solving the problems, such as the coordination optimization of multi-level structure, it allows upper layer to tie
Structure makes decisions on one's own to upper layer optimization problem, and is coordinated and optimized to the optimization problem of understructure and obtain globally optimal solution,
Has the characteristics that fast convergence rate.Extensive problem is divided into small by multi-agent technology using the core concept of " dividing and rule "
Each Agent is distributed in subtask, between each Agent independently of each other, while exchanging letter with other Agent by upper layer Agent
Breath is very suitable for processing electrical power system wide-area coordination problem.
Above-mentioned multizone dynamic economic dispatch model is solved using ATC and multi-agent technology, the son after each decomposition
Each region Agent is built in region, region Agent includes the local informations such as one's respective area dominant eigenvalues, power generation expense；It builds again
One virtual chief coordinator Agent, replicates the boundary node phase angle vector of all areasWithThe boundary node phase angle vector in chief coordinator Agent is represented, and to be met
Then coupling constraint is actually equivalent to：
To solve multi-region power system optimization problem using ATC, realize chief coordinator Agent and lower region Agent's
Alternating iteration solves, and above-mentioned centralized dynamic economic dispatch model is divided into optimization of region subproblem and chief coordinator's primal problem：
The object function of each regional power grid optimization subproblem is to utilize augmentation Lagrange on the basis of the total cost of one's respective area
Coupling constraint (10) is relaxed in function by function, introduces Lagrangian quadratic term to reduce oscillation, reduce convergent iteration time
Number, while constructing penalty function and making the Margin Vector of subproblem and primal problem Margin Vector not disconnecting during iterative solution
Closely.Subproblem model is as follows：
Wherein,For the Lagrange multiplier in coupling constraint,For quadratic penalty function multiplier；The boundary node angle values of subproblem are issued to for kth time iteration chief coordinator's primal problem；It is respectively each
Boundary node angle values in regional power grid；
The effect of chief coordinator's primal problem is to the chief coordinator Agent boundary node angle values solved and each region subproblem
In the angle values that solve coordinated, model is as follows：
Wherein,The respectively boundary node angle values of chief coordinator Agent；It is each for kth time iteration
Regional power grid subproblem uploads to the boundary node angle values of chief coordinator Agent；
When iteratively solving main and sub problem, need to update penalty function multiplierSo that
The boundary node angle values that main and sub problem solving goes out tend to be equal, and penalty function multiplier more new formula is as follows：
Wherein, α is the parameter for adjusting step-length, and under normal circumstances, step-length value range is [1,3].
Judge that the formula of algorithmic statement is：
3, the stochastic and dynamic economic load dispatching model for introducing wind-powered electricity generation error scene is established, the specific method is as follows：
Centralized dynamic economic dispatch model in step 2 is established under the randomness for not considering wind-powered electricity generation, is prediction
The optimization of problem under scene.In order to ensure there are enough spinning reserves to cope with wind-powered electricity generation randomness for system, existed using scene method
Step 3 introduces the wind-powered electricity generation error scene in each region, establishes the stochastic and dynamic economic load dispatching model in each region, and utilize ATC by mould
Type is divided into prediction scene primal problem and error scene subproblem carries out alternating iteration solution.
(1) the error scene subproblem of each regional power grid
Object function：It minimizes and abandons air quantity and virtual cutting load rejection penalty under each error scene, formula is as follows：
Wherein, S is error scene number；psThe probability occurred for s-th of scene；ΔWw,t,sIt is w-th under s-th of scene
Wind power plant abandons wind power, Δ D moment t'st,sFor the virtual cutting load power of s-th of scene lower moment t；Q is to abandon wind to punish expense
With；cdFor virtual cutting load rejection penalty；NTTo dispatch total period；NWFor wind power plant sum；
Constraints：
Region internal node DC power flow equation：
Wherein,It is that fired power generating unit of the areas a in period t goes out force vector under s-th of scene,For wind power plant tune
Spend force vector,For node load vector；SBFor trend a reference value, it is set as 100MVA；BaFor the areas a ignore branch resistance and
To the node admittance matrix of ground leg；For the areas a under s-th of scene period t node phase angle vector.
Fired power generating unit output bound constrains：
Wind turbines output bound constrains：
Unit is climbed to be constrained with landslide：
Line transmission power constraint：
Wherein,For the areas a under s-th of scene circuit kl period t transmission power value；Respectively
Angle values of s-th of scene lower node k, l in moment t.
Same period prediction scene is constrained with the output regulations speed under error scene：
-Δi≤Pi,t-Pi,t,s≤Δi (21)
Wherein, ΔiThe output increment that can be adjusted rapidly in 10 minutes for fired power generating unit i.
Boundary node angle values constrain：
(2) scene primal problem is predicted
Object function：On regional power grid subproblem, increases the intermediate variable in error scene subproblem and optimal cut
It cuts, formula is as follows：
Wherein,For the intermediate variable in the regions a；FaFor optimal cutling coefficient vector；Ma、NaFor optimal cutling coefficient matrix.
First constraints is all subregion internal constraints, and second constraints is what each region internal error scene was formed
Optimal cutling.
4, the whole network dispersion optimization problem and region stochastic optimization problems are alternately solved, the specific method is as follows：
(1) it solves the whole network and disperses optimization problem
When carrying out the whole network dispersion optimization to centralized multizone dynamic economic dispatch model using ATC, chief coordinator is introduced
Agent constructs a virtual region quite on the boundary of each adjacent area, which includes all region interconnections,
So that all different regions are attached thereto rather than are directly connected with adjacent area.One is established for the region after each decomposition
A region Agent, can obtain the local informations such as flow of power on interconnection, power demand, producing cost.Chief coordinator Agent
The region Agent of monitoring in real time and management subordinate, each region Agent carry out information exchange by chief coordinator Agent.
When each region Agent solves the optimization of region subproblem of one's respective area, solution obtains boundary node angle valuesAngle values are uploaded in chief coordinator Agent；Chief coordinator Agent is uploaded according to lower layer subproblem
Angle values solve chief coordinator's primal problem, upper boundary node angle values are calculated Again to each lower layer
Region Agent issues result of calculation, is achieved in the solution of levels alternating iteration.It is handed over by constantly updating penalty function multiplier
For iterative solution, thus each region Agent Boundary Variables and chief coordinator Agent Boundary Variables are constantly close, and because chief coordinator
Existence restraint condition in Agent A, the regions b solve the angle values obtained and also constantly approach.
(2) domain stochastic optimization problems
When introducing wind-powered electricity generation error scene to predicting that the angle values of scene are modified, prediction scene primal problem solution obtains side
Bound variable value is handed down to error scene subproblem, show that Boundary Variables value is uploaded to primal problem again by solving model, and constantly
Update penalty function multiplier to predict that the Boundary Variables of scene primal problem are worth to amendment, to realize random optimization.
Error scene is simultaneously modified the boundary node and unit output of predicting scene, and the angle values of boundary node can
It can change, therefore may need to carry out the whole network dispersion optimization again after random optimization, using chief coordinator Agent to each region
Boundary node phase angle is coordinated, it is ensured that it meets coupling constraint.
Embodiment
Using IEEE-39 standard test systems as embodiment, each regional power grid of IEEE-39 systems includes 10 thermal motors
Group, 39 nodes, containing there are one wind power plant wherein in the regions a, specific topological diagram is as shown in Figure 2.System wide area coordinates consumption
Flow is following (referring to Fig. 1)：
The first step：Initiation parameter
0) setting step-length adjustment parameter α=1.05, each zone boundary node angle values initial value are 0；
Second step：Carry out the dispersion optimization under prediction scene
1) each regional power grid is solved to each region and optimizes subproblem, solution obtains boundary node angle values On
Reach chief coordinator Agent；
2) upper layer chief coordinator's primal problem is solved, boundary node angle values are calculatedIt is handed down to each region electricity
Net control centre；
3) judge convergence：If meeting the condition of convergence, walked into third；Otherwise, update penalty function multiplier carries out next time
Iteration re-starts second step, returns 2)；
Third walks：Carry out the random optimization in each region
4) the prediction scene primal problem in the region is solved；
5) the error scene subproblem in the region is solved；
6) judge convergence：If meeting the condition of convergence, then it is assumed that the error correction optimization in the region has restrained, by boundary
Node angle valuesIt is uploaded to chief coordinator Agent, into 7)；Otherwise, third step is re-started to be changed next time
4) in generation, returns；
7) judge whether that the error correction optimization of all areas is convergence：If all convergences, into the 4th step；It is no
Then, third step is re-started, is returned 4)；
4th step：Decentralized coordinating optimizes again
8) upper layer chief coordinator's primal problem is solved, boundary node angle values are calculatedIt is handed down to each region electricity
Net control centre；
9) judge convergence：If meeting the condition of convergence, then it is assumed that entire more scene distributing scheduling models are received completely
It holds back, algorithm terminates, and exports the whole network power generation dispatching scheme；Otherwise, penalty function multiplier is updated, second step is re-started, is returned 2).
Wind-powered electricity generation prediction power is as shown in table 1.
1 regions IEEE-39 system a wind-powered electricity generation prediction power table of table
1, coordination situations of the chief coordinator Agent in multizone dynamic economic dispatch model.
Table 2 gives in t=1, for the same boundary node, by the regions chief coordinator Agent, a region Agent, b
The node angle values situation that Agent is calculated respectively.As can be seen that the node angle values that the region a, b Agent is calculated are with iteration
Constantly approach, and the node angle values of chief coordinator Agent are constantly among the value in two regions, illustrate chief coordinator Agent
Play coordinative role so that the angle values that different zones calculate move closer to.
The same boundary node angle values of 2 synchronization of table
2, dominant eigenvalues situation.
In the case where considering wind-powered electricity generation randomness, centralized dynamic economic dispatch model (model 1) and this hair is respectively adopted
Decentralized coordinating scheduling model (model 2) in bright calculated, and table 3, which gives, to be flowed through on same interconnection in different moments
Performance number, it can be seen that：
(1) most of moment, 2 dominant eigenvalues of model are less than model 1, are because each region unit will answer in model 2
More spinning reserves are retained to one's respective area wind-powered electricity generation randomness；
(2) load valley period, 2 dominant eigenvalues of model are lifted, and are conducive to the regions a low-valley interval wind-powered electricity generation more than needed
The regions b are sent to, to realize the transregional consumption of large-scale wind power.
The dominant eigenvalues value that the different models of table 3 calculate
The electrical power system wide-area proposed by the present invention for considering wind-powered electricity generation randomness coordinates consumption method, using multi-agent technology,
It can ensure data-privacy and dispatch the extensive random wind-powered electricity generation of independent consumption, meet the requirement of dispersion optimization, energy
It enough realizes the mutual supplement with each other's advantages of different zones wind power resources spatially, realizes that wind power output wide area coordinates consumption so that power grid stays
There are more nargin to cope with the randomness of wind-powered electricity generation, solving the whole network using target cascade analytic approach disperses dynamic economic dispatch model
With each region stochastic and dynamic Economic Dispatch Problem, calculating speed is very fast, is asked suitable for solving large scale electric network dynamic economic dispatch
Topic.
Technical term in the present invention is explained
Target cascades analytic approach (ATC)：It is mainly used for solving the problems, such as the coordination optimization of multi-level structure, it allows upper layer to tie
Structure makes decisions on one's own to upper layer optimization problem, and is coordinated and optimized to the optimization problem of understructure and obtain globally optimal solution,
Has the characteristics that fast convergence rate.
Multi-agent system (multi-agent system)：The Chinese of Agent is expressed as " acting on behalf of " or " intelligent body ", manually
Intelligence thinks that target to be achieved is exactly to develop the intelligent body that simultaneously process problem can be thought deeply as the mankind.Single Agent's
Calculating, the effect of process problem are in fact extremely limited, but since multiple Agent systems that can be formed a whole are answered jointly
To bulky systems and solve the problems, such as very complicated, i.e. multi-agent system.Multi-agent system by multiple functional independences Agent structures
At having the ability of distributed AC servo system and Distributed Calculation, to enhance the control of higher level control centre in multi-region power system
Ability and computing capability.Extensive problem is divided into small subtask by multi-agent technology using the core concept of " dividing and rule "
It distributes to each Agent, between each Agent independently of each other, while information is exchanged with other Agent by upper layer Agent, very
It is suitble to processing electrical power system wide-area coordination problem.
Claims (3)
1. a kind of electrical power system wide-area considering wind-powered electricity generation randomness coordinates consumption method, characterized in that the method includes following
Step：
A. it is several relatively independent regions by the decoupling of multi area interconnection power grid, passes through interconnection boundary node between different zones
Variable interconnects；
B. the multizone dynamic economic dispatch model under the prediction scene for not considering wind-powered electricity generation randomness is established：
1. establishing centralized multizone dynamic economic dispatch model：
Wherein, Ba、DaAnd EaFor the coefficient matrix of the regions a internal constraint equation；PaFired power generating unit for the areas a goes out force vector；θaFor a
Area's internal node voltages phase angle vector；In the interconnection boundary node in the areas a, ZaaTo belong to the node set in the areas a, ZabFor not
Belong to the node set in the areas a；M, n is boundary node； M, n node respectively in the areas a moment t angle values,The angle values of m, n node respectively in the areas b in moment t；faFor the areas a power generation expense and abandon wind rejection penalty it
With that is,：
Wherein,The respectively power generation cost coefficient of the areas a conventional power unit i；Q is to abandon wind penalty coefficient；For the areas a
Conventional power unit i period t active power output,For the areas a wind power plant w period t prediction active power output,For the wind
Scheduling active power output of the electric field in period t；N is overall area number, NTHop count when to dispatch total,For the total conventional power unit numbers of a Qu,For the total wind-powered electricity generation number of fields of a Qu；
2. solving multizone dynamic economic dispatch model using target cascade analytic approach (ATC) based on multi-agent technology：
Each regional agency (Agent) is built in subregion after each decomposition, then builds a virtual chief coordinator
Above-mentioned centralized dynamic economic dispatch model is divided into optimization of region subproblem and chief coordinator's primal problem by Agent：
Each regional power grid optimization subproblem model is as follows：
Wherein,For the Lagrange multiplier in coupling constraint,For quadratic penalty function multiplier；The boundary node angle values of subproblem are issued to for kth time iteration chief coordinator's primal problem；It is respectively each
Boundary node angle values in regional power grid；
Chief coordinator's primal problem model is as follows：
Wherein,Not Wei chief coordinator Agent boundary node angle values；For each region electricity of kth time iteration
Net problem uploads to the boundary node angle values of chief coordinator Agent；
3. iteratively solving main and sub problem；
C. the stochastic and dynamic economic load dispatching model for introducing wind-powered electricity generation error scene is established, the specific method is as follows：
1. the error scene subproblem of each regional power grid
Object function：
Wherein, S is error scene number；psThe probability occurred for s-th of scene；ΔWw,t,sFor w-th of wind-powered electricity generation under s-th of scene
Wind power, Δ D are abandoned in field in moment tt,sFor the virtual cutting load power of s-th of scene lower moment t；cdIt is punished for virtual cutting load
Penalize expense；NTTo dispatch total period；NWFor wind power plant sum；
Constraints：
Region internal node DC power flow equation：
Wherein,It is that fired power generating unit of the areas a in period t goes out force vector under s-th of scene,It is dispatched out for wind power plant
Force vector,For node load vector；SBFor trend a reference value；BaIgnore branch resistance for the areas a and to the node of ground leg
Admittance matrix；For the areas a under s-th of scene period t node phase angle vector；
Fired power generating unit output bound constrains：
Wherein,WithThe respectively active power output lower and upper limit of fired power generating unit i；For the routine in the areas a under s-th of scene
Active power outputs of the unit i in period t；
Wind turbines output bound constrains：
Wherein,For the areas a wind power plant w period t prediction active power output；
Unit is climbed to be constrained with landslide：
Wherein,WithThe active power output of respectively unit i is climbed and landslide limitation；NTFor the total activation period；
Line transmission power constraint：
Wherein,For the areas a under s-th of scene circuit kl period t transmission power value;Respectively s
Angle values of a scene lower node k, l in moment t；For the maximum transmission power value of the circuit；For the reactance of circuit kl
Value；
Same period prediction scene is constrained with the output regulations speed under error scene：
-Δi≤Pi,t-Pi,t,s≤Δi
Wherein, ΔiThe output increment that can be adjusted rapidly in 10 minutes for fired power generating unit i；Pi,tFor the region under prediction scene
Active power outputs of the interior conventional power unit i in period t；Pi,t,sUnder s-th of scene in the region conventional power unit i period t it is active go out
Power；
Boundary node angle values constrain：
Wherein,Under respectively s-th of scene and predict that region a interior joints m is in the node phase angle of period t under scene
Value；It Wei not node angle values of the region a interior joints n in period t under s-th of scene and under prediction scene；
2. predicting scene primal problem
Object function：
Wherein,For the intermediate variable in the regions a, D is the number of intermediate variable；FaFor optimal cutling coefficient vector；Ma、NaFor most
Excellent cutting coefficient matrix；E is unit vector；Go out the transposition of force vector for the fired power generating unit in the areas a；For the areas a internal node electricity
Press the transposition of phase angle vector；
D. the whole network dispersion optimization problem and region stochastic optimization problems are alternately solved, the angle values of each boundary node are obtained.
2. a kind of electrical power system wide-area considering wind-powered electricity generation randomness according to claim 1 coordinates consumption method, feature
It is that the constraints of the multizone dynamic economic dispatch model is as follows：
1. region internal constraints
The areas a node DC power flow equation is：
Wherein,Conventional power unit for period t goes out force vector,Wind power plant for period t dispatches out force vector,For when
The node load vector of section t；SBFor trend a reference value；BaTo ignore branch resistance and to the node admittance matrix of ground leg；
For the node phase angle vector of period t；
2. fired power generating unit output bound constrains：
Wherein,WithThe respectively active power output lower and upper limit of fired power generating unit i；
3. Wind turbines output bound constrains：
It is constrained with landslide 4. unit is climbed：
Wherein,WithThe active power output of respectively unit i is climbed and landslide limitation；
5. line transmission power constraint is：
Wherein,For circuit kl moment t transmission power value,For the maximum transmission power value of the circuit；With
Respectively phase angles of node k, the l in moment t；For the reactance value of circuit kl；
6. interregional coupling constraint
Boundary node power-balance constraint between domain of the existence between two adjacent area of a, b of interconnection is：
Wherein, m, n are boundary node, and Z is the interregional boundary node set of entire multi-region electric network； Boundary node angle values of respectively region a, the b in moment t.
3. a kind of electrical power system wide-area considering wind-powered electricity generation randomness according to claim 1 or 2 coordinates consumption method, special
Sign is, when iteratively solving main and sub problem, needs to update penalty function multiplierSo that main and sub problem solving went out
Boundary node angle values tend to be equal, and penalty function multiplier more new formula is as follows：
Wherein, α is the parameter for adjusting step-length, and under normal circumstances, step-length value range is [1,3]；
Judge that the formula of algorithmic statement is：
Wherein, ε is convergence precision.
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