CN109818347A - A kind of appraisal procedure of electric system wind electricity digestion capability - Google Patents
A kind of appraisal procedure of electric system wind electricity digestion capability Download PDFInfo
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Abstract
The invention discloses a kind of appraisal procedures of electric system wind electricity digestion capability, obtain the initial parameter information of electric system to be assessed first;Building wind-powered electricity generation can receive capability assessment model, and up-and-down boundary can be received by solving initial wind-powered electricity generation;It is uncertain using Boolean variable characterization wind-powered electricity generation, it is combined into building wind-powered electricity generation with wind power output predicted value and does not know set W;Criterion can be received using abandonment amount, cutting load amount as optimal value building wind-powered electricity generation, differentiates whether the uncertain set of wind-powered electricity generation can generate abandonment, cutting load;Electric system is set and natural gas system model constrains, and criterion can be received to be bonded wind-powered electricity generation with wind-powered electricity generation can receive discrimination model;Discrimination model can be received by solving wind-powered electricity generation, obtained wind-powered electricity generation and extremely contributed scene, judge whether to meet the condition of convergence, if satisfied, then loop termination and exporting wind-powered electricity generation and can receive up-and-down boundary.The above method considers constraint of the natural gas network to Gas Generator Set fuel gas supply, so that the assessment of electric system wind electricity digestion capability is more in line with engineering reality.
Description
Technical field
The present invention relates to technical field of power systems more particularly to a kind of assessment sides of electric system wind electricity digestion capability
Method.
Background technique
In recent years, the development of the new energy such as wind-powered electricity generation is swift and violent, but since wind-powered electricity generation is there are fluctuation and uncertainty, wind electricity digestion at
For important problem urgently to be resolved, to Operation of Electric Systems flexibility it is also proposed that requirements at the higher level.Gas Generator Set has compared with Gao Ling
Activity, output power are capable of fast tracking wind power output fluctuation, but on the one hand, Gas Generator Set by natural gas network constraint,
On the other hand, China's natural gas resource is not abundant and maldistribution of the resources weighing apparatus, gas storage are insufficient and pipe network facilities more
Fall behind, the industrial gas priority such as fuel gas generation is not high.Therefore researching natural gas network production, transmission, storage, consumption model are special
Sign is beneficial to influence of the accurate evaluation fuel gas supply constraint to electric system wind electricity digestion capability, it is made to be more in line with engineering
It is practical.
For electric system wind electricity digestion problem, scholar's research at present is concentrated mainly on electric power networks modeling, wind-powered electricity generation not
Decided modelling, electric power system dispatching decision etc..On the one hand, existing appraisal procedure only considers power network model and does not consider
Fuel gas supply constraint, it is clear that assessment result can be made excessively optimistic, do not meet engineering reality;On the other hand, existing appraisal procedure
It is higher to wind power output precision of prediction dependence mostly to simulate the practical power output of wind-powered electricity generation based on scene method, it is unable to accurate evaluation and goes out
Electric system can receive wind power output range.
Summary of the invention
The object of the present invention is to provide a kind of appraisal procedure of electric system wind electricity digestion capability, this method is considered naturally
Constraint of the gas network to Gas Generator Set fuel gas supply, so that the assessment of electric system wind electricity digestion capability is more in line with engineering reality,
It can be to avoid the excessively optimistic bring loss of Traditional measurements method.
The purpose of the present invention is what is be achieved through the following technical solutions:
A kind of appraisal procedure of electric system wind electricity digestion capability, which comprises
Step 1, the initial parameter information for obtaining electric system to be assessed first, including wind power output predicted valueUnit
Combined strategy;
Step 2: building wind-powered electricity generation can receive capability assessment model, and addition wind-powered electricity generation can receive up-and-down boundary to constrain, and solve initial
Wind-powered electricity generation can receive up-and-down boundary;
Step 3 characterizes wind-powered electricity generation uncertainty using Boolean variable, it is combined building with the wind power output predicted value
Wind-powered electricity generation does not know set W;Wherein, the wind-powered electricity generation does not know set W by Boolean variable vu/vlUp-and-down boundary w can be received with wind-powered electricity generationu/
wlIt collectively forms;
Step 4 can receive criterion using abandonment amount, cutting load amount as optimal value building wind-powered electricity generation, differentiate the wind-powered electricity generation not with this
Determine whether set can generate abandonment, cutting load;
Step 5, setting electric system and natural gas system model constrain, and criterion can be received to be bonded with the wind-powered electricity generation
Wind-powered electricity generation can receive discrimination model;
Step 6 solves wind-powered electricity generation and can receive discrimination model, obtains wind-powered electricity generation and extremely contributes scene, judges whether to meet convergence item
Part, if satisfied, then loop termination and exporting corresponding wind-powered electricity generation and can receive up-and-down boundary;
Step 7, if not satisfied, scene of then extremely being contributed according to the wind-powered electricity generation generates new wind power output or more bound constrained,
And be added to the wind-powered electricity generation and can receive in capability assessment model, solution, which obtains new wind-powered electricity generation, can receive up-and-down boundary.
As seen from the above technical solution provided by the invention, the above method considers natural gas network to Gas Generator Set
The constraint of fuel gas supply, so that the assessment of electric system wind electricity digestion capability is more in line with engineering reality, it can be to avoid Traditional measurements
The excessively optimistic bring loss of method.
Detailed description of the invention
In order to illustrate the technical solution of the embodiments of the present invention more clearly, required use in being described below to embodiment
Attached drawing be briefly described, it should be apparent that, drawings in the following description are only some embodiments of the invention, for this
For the those of ordinary skill in field, without creative efforts, it can also be obtained according to these attached drawings other
Attached drawing.
Fig. 1 is the appraisal procedure flow diagram of electric system wind electricity digestion capability provided in an embodiment of the present invention;
Fig. 2 is that wind-powered electricity generation described in the embodiment of the present invention can receiving area schematic diagram;
Fig. 3 is the coupled system topology schematic diagram of example of the present invention;
Fig. 4 is that Traditional measurements method and one day 24 period wind-powered electricity generation of the method for the invention can receive up-and-down boundary and predicted value
The contrast schematic diagram of difference and accumulative operation risk.
Specific embodiment
With reference to the attached drawing in the embodiment of the present invention, technical solution in the embodiment of the present invention carries out clear, complete
Ground description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.Based on this
The embodiment of invention, every other implementation obtained by those of ordinary skill in the art without making creative efforts
Example, belongs to protection scope of the present invention.
The embodiment of the present invention is described in further detail below in conjunction with attached drawing, is implemented as shown in Figure 1 for the present invention
The appraisal procedure flow diagram for the electric system wind electricity digestion capability that example provides, which comprises
Step 1, the initial parameter information for obtaining electric system to be assessed first, including wind power output predicted valueUnit
Combined strategy;
Step 2, building wind-powered electricity generation can receive capability assessment model, and addition wind-powered electricity generation can receive up-and-down boundary to constrain, and solve initial
Wind-powered electricity generation can receive up-and-down boundary;
Here, building wind-powered electricity generation can receive the process of capability assessment model specifically:
It is added again after abandonment amount is multiplied with corresponding penalty factor respectively with cutting load amount, obtains Operation of Electric Systems loss;
The running losses integrate wind power output probability density function again, then obtain Operation of Electric Systems risk,
Its mathematic(al) representation is as follows:
In formula, αt/βtIndicate that abandonment amount/cutting load amount corresponds to penalty factor,Indicate that wind power output is pre-
Measured value/the upper bound/lower bound/installed capacity;Indicate that wind-powered electricity generation predicts error, obedience mean value is 0, mean square deviation isNormal distribution,
Its calculation method is as follows:
In formula, σ indicates that wind power output prediction-error coefficients, wind power output prediction-error coefficients not only are predicted to contribute with wind-powered electricity generation
It is related, as time scale increase gradually increases;Indicate that wind-powered electricity generation predicts probability of error distribution function.
In the specific implementation, formula (21) is difficult to efficiently accurately calculate, therefore transforms into following friendly model and is solved:
Above-mentioned formula (23)-formula (28) effectively forms two stages Robust Optimization Model, and the first stage is by formula (23)-(27) structure
At, it is intended to optimize wind-powered electricity generation can receiving area, wherein formula (24)-(25) are that wind-powered electricity generation can receive boundary constraint, and formula (26)-(27) are point
Auxiliary constraint added by section linearisation operation risk assessment index;Second stage is that wind-powered electricity generation shown in formula (28) can receive criterion,
It requires optimal value F=0, i.e., any wind power output scene not will cause running losses in current wind power output region, solves
The two stages Optimized model, optimal wind-powered electricity generation can be obtained can receiving area.
Above-mentioned wind-powered electricity generation can receive assessment models mathematically to belong to two stages Optimized model, and the first stage is with formula (21) for mesh
Scalar functions and with formula (24)-(27) be constraint wind-powered electricity generation can receiving area assessment primal problem;Second stage is with formula (3) for target
Function and formula (28) are that the wind-powered electricity generation of constraint can receive differentiation subproblem, and whether verification wind-powered electricity generation region can generate running losses.
Step 3 characterizes wind-powered electricity generation uncertainty using Boolean variable, it is combined building with the wind power output predicted value
Wind-powered electricity generation does not know set W;
Here, wind-powered electricity generation does not know set W by Boolean variable vu/vlUp-and-down boundary w can be received with wind-powered electricity generationu/wlIt collectively forms, W
Up-and-down boundary be exactly wu/wl, wherein vu/vlValue difference indicates wind-powered electricity generation value in coboundary or lower boundary or predicted value
Three kinds of situations.
In this step, the uncertain set W of constructed wind-powered electricity generation is made of following formula 1 and 2:
Wherein,Indicate that wind-powered electricity generation is uncertain,For Boolean variable, 1/0 expression wind power output is taken to reach its power output
The section upper bound/predicted value;For Boolean variable, 1/0 expression wind power output is taken to reach its section lower bound/predicted value of contributing;Indicate wind power output up/down boundary;Belong to wind-powered electricity generation and does not know set W.
Step 4 can receive criterion using abandonment amount, cutting load amount as optimal value building wind-powered electricity generation, differentiate the wind-powered electricity generation not with this
Determine whether set can generate abandonment, cutting load;
In this step, it is shown in following formula 3 that constructed wind-powered electricity generation, which can receive criterion:
Wherein,It indicates abandonment amount/cutting load amount, if optimal value F=0, indicates that the uncertain set W of wind-powered electricity generation can
It receives;Otherwise, if F > 0, indicate that wind-powered electricity generation does not know set W and can not receive;Φ indicates min problem decision variable set, and X is indicated
The feasible zone of min problem decision variable.
Step 5, setting electric system and natural gas system model constrain, and criterion can be received to be bonded with the wind-powered electricity generation
Wind-powered electricity generation can receive discrimination model;
In this step, set electric system and natural gas system model constraint representation are as follows:
In the above formulas, neWith NeIndicate conventional power unit index and quantity;negWith NegIndicate Gas Generator Set index and quantity;
ngWith NgIndicate natural gas well index and quantity;nwWith NwIndicate natural gas well index and quantity;T and T indicates period sequence
Several and quantity;leWith LeElectrical power system transmission clue is respectively indicated to draw and quantity;lgWith LgRespectively indicate natural gas system transmission line
Index and quantity;ieWith IeRespectively indicate electric system node ordinal number and quantity;igWith IgRespectively indicate natural gas system node sequence
Several and quantity;deWith DeIndicate power system load index and quantity;dgWith DgIndicate natural gas load index and quantity;C and C
Indicate natural gas system compressor ordinal number and quantity;Indicate conventional power unit/Gas Generator Set operating status;Table
Show conventional power unit power output up/down circle;Indicate Gas Generator Set power output up/down circle;Indicate conventional power unit/combustion gas
Unit output;Indicate the positive climbing capacity of conventional power unit/Gas Generator Set;Indicate that conventional power unit/Gas Generator Set is negative
Climbing capacity;θreftIndicate reference mode phase angle;Indicate power line transmission capacity;Indicate transmission line admittance;
Indicate two end node phase angle of power circuit le;Indicate each wind power plant abandonment amount;Indicate that each wind power plant wind-powered electricity generation maximum goes out
Power;Indicate each load bus cutting load amount of electric system;Indicate each load bus load of electric system;Indicate day
Right gas yield;Indicate gas production up/down circle;rstIndicate that natural gas caisson deposits tolerance;It indicates
Tolerance maximum/minimum value is deposited in caisson;qst in/qst outIndicate natural gas inflow/discharge;Indicate gas storage
Device air inflow/gas output the upper limit;Indicate each natural gas system node igNode air pressure;Indicate node atmospherically/
Lower bound;Indicate each pipe natural gas storage;For pipeline storage and node pressure coefficient of relationship;Indicate natural gas
Pipe ends node air pressure;Indicate natural gas line lg inflow/outflow amount;For compressor compresses coefficient;Point
It Biao Shi not two end node air pressure of compressor;Indicate natural gas average flow rate in pipeline;Indicate pipeline tide
Stream and its two end nodes air pressure coefficient of relationship;Ne(ie)/Nw(ie)/De(ie)/Neg(ie)/Le(ie) indicate and electric system node
ieConnected conventional power unit/wind power plant/electric load/Gas Generator Set/transmission line set;Lg(ig)/S(ig)/Ng(ig)/Dg(ig)
It indicates and natural gas system node igConnected natural gas transmission pipelines/caisson/natural gas well/natural gas load collection
It closes.
Wherein, formula (18) show nonlinear restriction, therefore is linearized using piecewise-linear techniques.
Step 6 solves wind-powered electricity generation and can receive discrimination model, obtains wind-powered electricity generation and extremely contributes scene, judges whether to meet convergence item
Part, if satisfied, then loop termination and exporting corresponding wind-powered electricity generation and can receive up-and-down boundary;
Step 7, if not satisfied, scene of then extremely being contributed according to the wind-powered electricity generation generates new wind power output or more bound constrained,
And be added to the wind-powered electricity generation and can receive in capability assessment model, solution, which obtains new wind-powered electricity generation, can receive up-and-down boundary.
It can receive capability assessment model that can receive with wind-powered electricity generation in the specific implementation, can use nested C&CG algorithm and solve wind-powered electricity generation
The two-stage model that discrimination model is constituted, detailed process are as follows:
It is first the solution two-stage model, is done following model equivalency conversion:
Wind-powered electricity generation, which can be received, differentiates subproblem:
s.t.Ex+Gz+Rv≤hs (30)
In formula,Indicate constant coefficient matrix or vector;V indicates wind-powered electricity generation uncertainty vector;X and z distinguishes table
Show continuous type and Boolean type decision variable vector;
And wind-powered electricity generation can receive capability evaluation primal problem:
s.t.Kw+Lμ≤hm (32)
In formula, K, L, hmFor constant coefficient matrix or vector;W indicates that wind-powered electricity generation can receiving area Margin Vector;μ indicates system fortune
Row risk vector;
Based on above-mentioned conversion, the process of nested C&CG algorithm solution specifically:
The number of iterations k=0, convergence error ξ are set first, extract wind power output predicted valueUnit Combination strategy;
Then using risk assessment index as objective function, it is constraint condition that wind-powered electricity generation, which can receive boundary constraint, solves the first rank
Section primal problem, optimization wind-powered electricity generation can receiving area:
s.t.
Wherein, note wind-powered electricity generation can receiving area up-and-down boundary optimal solution be wk, remember OriskOptimal value is Ok risk, in formulaIndicate Hadamaed product;Formula (16) is that wind-powered electricity generation can receive criterion subproblem to generate the constraint that extreme scenes are added.
Above-mentioned wind-powered electricity generation is solved again and can be received and differentiates subproblem, remembers that the optimal solution of v is vk+1, remember that objective function F optimal value is
FkIf Fk< ξ, then termination algorithm and export wind-powered electricity generation can receiving area up-and-down boundary wk;Otherwise, increase vector xk+1,zk+1And such as
Under be constrained to first stage primal problem
The number of iterations k=k+1 is enabled again, is returned to above-mentioned steps and is operated;
Wherein, ξ is minimum positive number;K is current iteration number;E/G/R/ Λ/h indicates constant coefficient matrix or vector;
OriskExpression system operation risk value;FkFor abandonment cutting load amount;μ is system operation risk vector;X and z respectively indicate second-order
Duan Feng electricity, which can be received, differentiates in subproblem continuous variable and integer variable in min problem decision variable;V indicates that wind-powered electricity generation is uncertain
Property.
In addition, range can be received to obtain wind-powered electricity generation, it can propose that wind-powered electricity generation can receive ranging assessments index first, such as Fig. 2 institute
Be shown as wind-powered electricity generation described in the embodiment of the present invention can receiving area schematic diagram, as shown in Figure 2: ordinate be wind power output account for wind power plant dress
The ratio of machine capacity, figure orbicular spot dotted line indicate wind power output prediction curve, dash area III indicate wind-powered electricity generation can receiving area,
I.e. any wind power output scene not will cause electric system abandonment or cutting load in the area.Side's point solid line indicates that wind-powered electricity generation is real
Border power curve characterizes a certain wind power output scene, it is not difficult to find that it is not by shadow region III envelope, beyond on shadow region
The part of lower boundary will lead to electric system abandonment and cutting load respectively, and the practical power curve of wind-powered electricity generation is beyond on dash area III
The part of lower boundary then respectively indicates electric system in current wind power output field with the region that dash area III up-and-down boundary surrounds
Abandonment amount and cutting load amount under scape, as shown in shadow region I, II in figure.
In the specific implementation, wind-powered electricity generation can receive bound w when solution wind-powered electricity generation can receive capability assessment modelu/wlIt is variable, wind
Electrode tip scene is known parameters;When discrimination model can be received by solving wind-powered electricity generation, it is known quantity, wind-powered electricity generation that wind-powered electricity generation, which can receive up-and-down boundary,
Extreme power output scene vu/vlIt is Boolean variable;Circulation solves in this way.
It is described in detail again with process of the specific example to above-mentioned appraisal procedure below, according to certain 5 node power net
Network and 7 node natural gas network coupled system parameters, carry out emulation testing in MATLAB, are illustrated in figure 3 the present invention and are lifted
The coupled system topology schematic diagram of example, generator parameter are as shown in the table:
1 generator parameter table of table
1 Fans W1, installed capacity 250MW;3 electric load PL1-PL3;6 power transmission line L1-L6;2 gas wells
GW1And GW2;5 natural gas conventional transmission line Gline1-Gline5;1 compressor C1;3 gas load GL1-GL3.It joins in detail
Number is shown in Table 1, wherein G1-G3Always it is in open state.
Test result is as follows:
As can be seen that considering that natural gas network increases system operation risk after Gas Generator Set constraint, illustrate natural gas grid
Network really to Gas Generator Set fuel supply has an impact, wind-powered electricity generation fluctuation it is larger when, with rapid adjustability Gas Generator Set by
To natural gas network constraint, cause electric system regulating power insufficient, causes more operation risks, and traditional wind-powered electricity generation appraisal procedure
Natural gas network constraint is not considered, Gas Generator Set idealization is handled, so that assessment result excessively idealizes.
Traditional measurements method (do not consider that fuel gas supply constrain) with the method for the present invention (considering fuel gas supply constraint) one day 24
Period wind-powered electricity generation can receive up-and-down boundary and predicted value difference and accumulative operation risk as shown in figure 4, as seen from Figure 4: consider
Fuel gas supply constraint wind-powered electricity generation can receive bound to be obviously reduced, particularly evident in period 6 to the period 12, illustrate to consider fuel gas supply
Constraint to can receive wind-powered electricity generation range have great influence.In addition, by abandonment cutting load risk it is found that considering to fire in one day 24 period
Risk is to reduce after gas supply constraint, and partial period increases obviously, and corresponding wind-powered electricity generation can receive bound, and also gap is more apparent,
Illustrate that Gas Generator Set fuel is limited by natural gas network, the decline of system regulating power thereby results in system running losses.
It is worth noting that, the content being not described in detail in the embodiment of the present invention belongs to professional and technical personnel in the field's public affairs
The prior art known.
In conclusion the method for the embodiment of the present invention has the advantages that
1. constraint of the natural gas network to Gas Generator Set fuel gas supply is considered, so that electric system wind electricity digestion capability is commented
Estimate and is more in line with engineering reality, it can be to avoid the excessively optimistic bring loss of Traditional measurements method;
2. the wind-powered electricity generation for proposing a kind of consideration wind-powered electricity generation prediction error can receive domain evaluation index, so that wind-powered electricity generation can receiving area
It assesses more accurate;
3. proposing a kind of towards runing time scale, the modeling method for calculating close friend, considering fuel gas supply constraint, solution effect
Rate is high, is easy to Project Realization.
The foregoing is only a preferred embodiment of the present invention, but scope of protection of the present invention is not limited thereto,
Within the technical scope of the present disclosure, any changes or substitutions that can be easily thought of by anyone skilled in the art,
It should be covered by the protection scope of the present invention.Therefore, protection scope of the present invention should be with the protection model of claims
Subject to enclosing.
Claims (6)
1. a kind of appraisal procedure of electric system wind electricity digestion capability, which is characterized in that the described method includes:
Step 1, the initial parameter information for obtaining electric system to be assessed first, including wind power output predicted valueUnit Combination plan
Slightly;
Step 2: building wind-powered electricity generation can receive capability assessment model, and addition wind-powered electricity generation can receive up-and-down boundary to constrain, solve initial wind-powered electricity generation
Up-and-down boundary can be received;
Step 3 characterizes wind-powered electricity generation uncertainty using Boolean variable, it is combined building wind-powered electricity generation with the wind power output predicted value
Uncertain set W;Wherein, wind-powered electricity generation does not know set W by Boolean variable vu/vlUp-and-down boundary w can be received with wind-powered electricity generationu/wlCommon structure
At;
Step 4 can receive criterion using abandonment amount, cutting load amount as optimal value building wind-powered electricity generation, differentiate that the wind-powered electricity generation is uncertain with this
Whether set can generate abandonment, cutting load;
Step 5, setting electric system and natural gas system model constrain, and criterion can be received to be bonded wind-powered electricity generation with the wind-powered electricity generation
Discrimination model can be received;
Step 6 solves wind-powered electricity generation and can receive discrimination model, obtains wind-powered electricity generation and extremely contributes scene, judges whether to meet the condition of convergence, if
Meet, then loop termination and exports corresponding wind-powered electricity generation and can receive up-and-down boundary;
Step 7, if not satisfied, scene of then extremely being contributed according to the wind-powered electricity generation generates new wind power output or more bound constrained, and will
It, which is added to the wind-powered electricity generation, to receive in capability assessment model, and solution, which obtains new wind-powered electricity generation, can receive up-and-down boundary.
2. the appraisal procedure of electric system wind electricity digestion capability according to claim 1, which is characterized in that institute in step 3
The wind-powered electricity generation of building does not know set W and is made of following formula 1 and 2:
Wherein,Indicate that wind-powered electricity generation is uncertain,For Boolean variable, 1/0 expression wind power output is taken to reach its section of contributing
The upper bound/predicted value;For Boolean variable, 1/0 expression wind power output is taken to reach its section lower bound/predicted value of contributing;Table
Show wind power output up/down boundary;Belong to wind-powered electricity generation and does not know set W.
3. the appraisal procedure of electric system wind electricity digestion capability according to claim 1, which is characterized in that institute in step 4
It is shown in following formula 3 that the wind-powered electricity generation of building, which can receive criterion:
Wherein,It indicates abandonment amount/cutting load amount, if optimal value F=0, indicates that wind-powered electricity generation does not know set W and can receive;
Otherwise, if F > 0, indicate that wind-powered electricity generation does not know set W and can not receive;Φ indicates min problem decision variable set, and X indicates min problem
The feasible zone of decision variable.
4. the appraisal procedure of electric system wind electricity digestion capability according to claim 1, which is characterized in that institute in steps of 5
The electric system of setting and natural gas system model constraint representation are as follows:
In the above formulas, neWith NeIndicate conventional power unit index and quantity;negWith NegIndicate Gas Generator Set index and quantity;ngWith
NgIndicate natural gas well index and quantity;nwWith NwIndicate natural gas well index and quantity;T and T indicate period ordinal number with
Quantity;leWith LeElectrical power system transmission clue is respectively indicated to draw and quantity;lgWith LgRespectively indicate natural gas system transmission line index
With quantity;ieWith IeRespectively indicate electric system node ordinal number and quantity;igWith IgRespectively indicate natural gas system node ordinal number with
Quantity;deWith DeIndicate power system load index and quantity;dgWith DgIndicate natural gas load index and quantity;C and C is indicated
Natural gas system compressor ordinal number and quantity;Indicate conventional power unit/Gas Generator Set operating status;Indicate normal
Advise unit output up/down circle;Indicate Gas Generator Set power output up/down circle;Indicate that conventional power unit/Gas Generator Set goes out
Power;Indicate the positive climbing capacity of conventional power unit/Gas Generator Set;Indicate the negative climbing energy of conventional power unit/Gas Generator Set
Power;θreftIndicate reference mode phase angle;Indicate power line transmission capacity;Indicate transmission line admittance;Indicate electricity
Two end node phase angle of line of force road le;Indicate each wind power plant abandonment amount;Indicate each wind power plant wind-powered electricity generation maximum output;Table
Show each load bus cutting load amount of electric system;Indicate each load bus load of electric system;Indicate gas production;Indicate gas production up/down circle;rstIndicate that natural gas caisson deposits tolerance;It indicates in caisson
Deposit tolerance maximum/minimum value;qst in/qst outIndicate natural gas inflow/discharge;Expression caisson air inflow/
The gas output upper limit;Indicate each natural gas system node igNode air pressure;Indicate node atmospherically/lower bound;It indicates
Each pipe natural gas storage;For pipeline storage and node pressure coefficient of relationship;Indicate two end node of natural gas line
Air pressure;Indicate natural gas line lg inflow/outflow amount;For compressor compresses coefficient;Respectively indicate compressor
Two end node air pressures;Indicate natural gas average flow rate in pipeline;Indicate pipeline trend and its two end segment
Point air pressure coefficient of relationship;Ne(ie)/Nw(ie)/De(ie)/Neg(ie)/Le(ie) indicate and electric system node ieConnected routine
Unit/wind power plant/electric load/Gas Generator Set/transmission line set;Lg(ig)/S(ig)/Ng(ig)/Dg(ig) indicate and natural gas
System node igConnected natural gas transmission pipelines/caisson/natural gas well/natural gas load set.
5. the appraisal procedure of electric system wind electricity digestion capability according to claim 1, which is characterized in that structure in step 2
The process of capability assessment model can be received by building wind-powered electricity generation specifically:
It is added again after abandonment amount is multiplied with corresponding penalty factor respectively with cutting load amount, obtains Operation of Electric Systems loss;
The running losses integrate wind power output probability density function again, then obtain Operation of Electric Systems risk, count
It is as follows to learn expression formula:
In formula, αt/βtIndicate that abandonment amount/cutting load amount corresponds to penalty factor,Expression wind power output predicted value/
The upper bound/lower bound/installed capacity;Indicate that wind-powered electricity generation predicts error, obedience mean value is 0, mean square deviation isNormal distribution, meter
Calculation method is as follows:
In formula, σ indicates that wind power output prediction-error coefficients, wind power output prediction-error coefficients not only have with wind-powered electricity generation prediction power output
It closes, as time scale increase gradually increases;Indicate that wind-powered electricity generation predicts probability of error distribution function.
6. the appraisal procedure of electric system wind electricity digestion capability according to claim 1, which is characterized in that in step 7, benefit
The two-stage model that wind-powered electricity generation can receive capability assessment model and wind-powered electricity generation that discrimination model can be received to constitute is solved with nested C&CG algorithm
Process specifically:
It is first the solution two-stage model, is done following model equivalency conversion:
Wind-powered electricity generation, which can be received, differentiates subproblem:
s.t.Ex+Gz+Rv≤hs (30)
In formula,Indicate constant coefficient matrix or vector;V indicates wind-powered electricity generation uncertainty vector;X and z respectively indicates company
Ideotype and Boolean type decision variable vector;
And wind-powered electricity generation can receive capability evaluation primal problem:
s.t.Kw+Lμ≤hm (32)
In formula, K, L, hmFor constant coefficient matrix or vector;W indicates that wind-powered electricity generation can receiving area Margin Vector;μ indicates that system runs wind
Dangerous vector;
Based on above-mentioned conversion, the process of nested C&CG algorithm solution specifically:
The number of iterations k=0, convergence error ξ are set first, extract wind power output predicted valueUnit Combination strategy;
Then using risk assessment index as objective function, it is constraint condition that wind-powered electricity generation, which can receive boundary constraint, solves first stage master
Problem, optimization wind-powered electricity generation can receiving area:
s.t.
Wherein, note wind-powered electricity generation can receiving area up-and-down boundary optimal solution be wk, remember OriskOptimal value isIn formulaTable
Show Hadamaed product;
Above-mentioned wind-powered electricity generation is solved again and can be received and differentiates subproblem, remembers that the optimal solution of v is vk+1, note objective function F optimal value is FkIf Fk
< ξ, then termination algorithm and export wind-powered electricity generation can receiving area up-and-down boundary wk;Otherwise, increase vector xk+1,zk+1And following constraint
To first stage primal problem
The number of iterations k=k+1 is enabled again, is returned to above-mentioned steps and is operated;
Wherein, ξ is minimum positive number;K is current iteration number;E/G/R/ Λ/h indicates constant coefficient matrix or vector;OriskIt indicates
System operation risk value;FkFor abandonment cutting load amount;μ is system operation risk vector;X and z respectively indicate second stage wind-powered electricity generation
It can receive and differentiate min problem continuous variable and integer variable in subproblem;V indicates that wind-powered electricity generation is uncertain.
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