CN109327025A - Consider the power grid N-1 safety economy method for optimizing scheduling of transmission operation elastic space - Google Patents
Consider the power grid N-1 safety economy method for optimizing scheduling of transmission operation elastic space 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
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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
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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
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Abstract
The invention discloses the power grid N-1 safety economy method for optimizing scheduling for considering transmission operation elastic space, key steps are as follows: 1) obtains power grid master data.2) transmission line malfunction increase-volume elastic model in short-term is established.3) interconnection adjustment elastic model is established.4) the N-1 safety economy scheduling model for considering transmission operation elastic space is established.5) according to the N-1 safety economy scheduling model for considering transmission operation elastic space, power grid is optimized.The present invention improves the optimizing space of unit output, expands operation of power networks feasible zone when considering failure increase-volume in short-term and interconnection adjustment transmission operation elastic space.The optimization method of the considerations of present invention constructs transmission operation elastic space further improves the ability that power grid receives wind-powered electricity generation under the premise of reducing operating cost.
Description
Technical field
The present invention relates to Economic Dispatch fields, specifically the power grid N-1 peace of consideration transmission operation elastic space
Full economic load dispatching optimization method.
Background technique
Probabilistic increase, power grid security are injected due to the growth of network load and by the power grid of representative of new energy
The feasible zone of operation is gradually reduced, and operation of power networks approaches the limit.The new change and neomorph of electric system are electrical network economy, peace
Row for the national games proposes new challenge.Have numerous scholars to ask for keys such as the probabilistic operation of power networks optimization methods of consideration
Topic conducts a research, and such methods can improve the safety and economy of operation of power networks in safe operation of electric network domain.However, if
The safe operation of power system problem in the case of load growth and the uncertain increase of power grid injection is fundamentally solved, is needed
Expand the running boundary of power grid, the feasible zone of extended power running Optimization problem.Therefore, if can be set according to power grid
The physical essence of received shipment row constraint, excavates " elastic space " in safe operation of electric network domain, will more fully utilize existing power grid
Equipment extends the optimizing space of network optimization, improves the breadth and depth that power network resources are distributed rationally.
In network optimization problem, the major constraints for link of transmitting electricity are that transmission line of electricity capacity-constrained and regional power grid are got in touch with
The planned transmission power constraint of line, the elastic space that can be excavated mainly include failure
Increase-volume in short-term and interconnection adjust two aspects.In terms of failure increase-volume in short-term, existing document is in risk node at present
Boundary price meter and increase-volume in short-term, the proposition of part document consider the dispatching method of the failure elasticity of increase-volume in short-term, but mostly with voltage
Phase angle mode models, and whens large-scale calculations introduces a large amount of optimized variables；Interconnection adjustment elasticity aspect, existing Method Modeling
It is more rough, do not account for influence of the outer net to interconnection power transmission；Also, existing method not comprehensively meter and failure in short-term
The transmission operations elastic spaces such as increase-volume, interconnection adjustment, analyze its economic benefit and the influence to new energy consumption.
Summary of the invention
Present invention aim to address problems of the prior art.
To realize the present invention purpose and the technical solution adopted is that such, consider the power grid of transmission operation elastic space
N-1 safety economy method for optimizing scheduling, mainly comprises the steps that
1) power grid master data is obtained.Further, the power grid master data mainly includes system loading data, new energy
Source predicts force data, unit, network parameter and interconnection parameter.
2) transmission line malfunction increase-volume elastic model in short-term is established, key step is as follows:
2.1) route trend constraint under basic status is determined, it may be assumed that
In formula, fk×1Line Flow vector is tieed up for k.K is power network line number.Unit output vector is tieed up for u.U is
Power grid unit number.Node load, which is tieed up, for n injects vector.Matrix Cn×uFor power grid unit-node connection matrix.Matrix
Ak×nFor the transfer distribution factor matrix of power grid.Matrix Ak×nThe linear coupling relationship of node injection and Line Flow is described.Line threshold transmission capacity vector is tieed up for k.
2.2) Line Flow constraint when moment, unit output not yet adjust after failure is determined, it may be assumed that
In formula, parameter kcFor the increase-volume coefficient in short-term of route under malfunction.kc≥1.(c) N-1 that route c is disconnected is indicated
Fault scenes.C is N-1 failure collection.The new transfer distribution factor matrix of power grid after being disconnected for route c.
2.3) failure TaIn time, unit output adjusts Line Flow.The route tide that unit output adjusts after consideration failure
Stream constraint is as follows:
In formula,For failure unit output vector adjusted,For unit Line Flow adjusted to
Amount.
2.4) unit output adjusts TaThe climbing capacity of unit, obtains T in timeaThe climbing capacity constraint of unit in time
It is as follows:
In formula,For TaThe climbing capacity of unit in time.Unit output vector is tieed up for u.
2.5) constraint condition according to formula 2 to formula 4 establishes the transmission operation elasticity for considering failure increase-volume in short-term
Spatial model.
3) interconnection adjustment elastic model is established.
The key step for establishing interconnection adjustment elastic model is as follows:
3.1) the equivalent constraint of confirmation outer net operation, key step are as follows:
3.1.1 equivalent optimization mould) is established according to the operations constraint such as generator capacity, line transmission of interconnection external network
Type.
The objective function of equivalent Optimized model is as shown in formula 5 and formula 6.
CBi'=maxPBi'(i'=1,2 ..., NB)。 (5)
In formula, NBIt is interconnection boundary node number.CBi'For boundary node Bi'The active volume at place.I' is Arbitrary Boundaries
Node.PBi'For boundary node Bi'The active power of transmission；
In formula, CB-allFor section active volume.I' is Arbitrary Boundaries node.PBi'For boundary node Bi'What is transmitted is active
Power.NBIt is interconnection boundary node number.
3.1.2) constraint condition of equivalent Optimized model is to interconnect the operation constraint of outer net, such as formula 7 to 9 institute of formula
Show.
Trend Constraints of Equilibrium is as follows:
PE=BEθE。 (7)
In formula, PEFor outer net and boundary node injecting power vector.θEFor outer net and boundary node phase angle vector.BEBe for
Establish the susceptance submatrix of outer net and boundary node injecting power to the relationship between corresponding phase angle.
Generator capacity constraint is as follows:
In formula, PGEIt is outer net generator active power vector.
Line transmission power constraint is as follows:
In formula, PlEIt is transmission line of electricity active power vector.
3.1.3) the constraint condition according to formula 7 to formula 9, to objective function CBiAnd CB-allIt is updated, obtains
The equivalent constraint of interconnection outer net operation.
fL≤fc。 (10)
In formula, fLFor tie-line power transmission.fcFor equivalent optimum results.
3.2) determine that power stepization constrains, it may be assumed that
In formula,WithRespectively interconnection transmission capacity bound.Zi”For characterization equivalent generator unit fortune
The 0-1 variable of row state.Pi”It contributes for the i-th " platform equivalent unit, and unit output is fixed value Pd。
3.3) daily electricity constraint independent of time is determined, it may be assumed that
In formula, D is interconnection day to exchange electricity, is determined by trading program.fL,tFor interconnection period t transmission function
Rate.
3.4) constraint condition according to formula 10 to formula 12, to objective function CBiAnd CB-allIt is updated, thus
Establish interconnection adjustment elastic model.
4) the N-1 safety economy scheduling model for considering transmission operation elastic space is established.
It establishes and considers that the key step of the N-1 safety economy scheduling model of transmission operation elastic space is as follows:
4.1) objective function min F is determined, it may be assumed that
In formula, F is total power production cost.T is scheduling time.U is unit number.CGi,tFor unit i period t power generation
Expense.CL,tFor the power purchase expense of outer net day part.Cw,tFor Wind turbines period t abandonment punishment cost.
Abandonment punishment cost C of the Wind turbines in period tw,tIt is as follows:
In formula, λwFor abandonment penalty factor.Activity of force is predicted for period t Wind turbines. Pw,tFor Wind turbines
Practical activity of force out.
Unit i mainly includes coal consumption cost C in the power generation expense of period tCi,t, unit starting cost Ci,t,UIt is closed with unit
Stop cost Ci,t,D。
4.2) increase-volume elastic safety constraint formula and interconnection transmit elastic restraint formula to combined circuit in short-term, establish optimization about
Beam condition, as shown in formula 15 to 19.
Account load balancing constraints are as follows:
In formula, NgFor system convention generator number of units.Pgi,tFor unit i period t power output.fL,tIt is interconnection in the period
The transimission power of t.Pw,tFor the wind power output of period t.Pd,tFor total power load of period t.
The constraint of unit output bound is as follows:
In formula, Ii,tEach unit is characterized in the start and stop state of period t.For each unit period t most
Greatly, minimum load.Pgi,tFor unit i period t power output.
Unit minimum start-off time constraints are as follows:
In formula, ti,t,onAnd ti,t,offRespectively unit i moment t lasting booting and shut down the time. Ti,onAnd Ti,off
Respectively unit i is switched on and shuts down the time in the minimum of period t.Ii,tEach unit is characterized in the start and stop state of period t.Ii,t-1Table
Each unit is levied in the start and stop state of period t-1. Ti,UStart the time for unit i.Ti,DThe time is shut down for unit i.
Unit Commitment expense restriction is as follows:
In formula, KiAnd JiThe single startup-shutdown expense of respectively unit i and unit j.
Unit ramp loss is as follows:
Ii,t-1Pi,t-1-λidown≤Pgi,t≤Ii,t-1Pi,t-1+λiup。 (19)
In formula, λiupFor the ratio of slope of climbing of unit i.λidownFor the downward climbing rate of unit i.
4.3) linear solution formula 15 is updated objective function min F, to formula 19 to obtain considering transmission of electricity
Run the N-1 safety economy scheduling model of elastic space.
1) method of linear solution, which specifically includes that, carries out linear solution using CPLEX software.2) GUROBI software is utilized
Carry out linear solution.
5) according to the N-1 safety economy scheduling model for considering transmission operation elastic space, power grid is optimized.
The solution have the advantages that unquestionable.The present invention is considering that failure increase-volume in short-term and interconnection adjustment are defeated
When electricity operation elastic space, the optimizing space of unit output is improved, operation of power networks feasible zone is expanded.What the present invention constructed
The optimization method of transmission operation elastic space is considered under the premise of reducing operating cost, is further improved power grid and is received wind
The ability of electricity.The present invention improves the transmission capacity of route, alleviates backlog degree, it is feasible to expand unit output
Domain.The present invention can precisely portray interconnection " true " elastic space, under the premise of guaranteeing the safety of operation of power networks, expand
Operation of power networks feasible zone.The operating cost of power grid can be effectively reduced in the present invention, promotes the consumption of wind-powered electricity generation.
Detailed description of the invention
Fig. 1 is interconnection active volume equivalence schematic diagram；
Fig. 2 is IEEE30 node and IEEE9 node interacted system figure；
Fig. 3 is typical day load curve and wind-powered electricity generation prediction graph；
Fig. 4 is that interconnection can transmission capacity analogous diagram；
Fig. 5 is the practical power output situation of each scheduling strategy wind-powered electricity generation.
Specific embodiment
Below with reference to embodiment, the invention will be further described, but should not be construed the above-mentioned subject area of the present invention
It is only limitted to following embodiments.Without departing from the idea case in the present invention described above, according to ordinary skill knowledge and
Customary means makes various replacements and change, should all include within the scope of the present invention.
Embodiment 1:
Referring to Fig. 1 to Fig. 4, the power grid N-1 safety economy method for optimizing scheduling of transmission operation elastic space is considered, mainly
The following steps are included:
1) power grid master data is obtained.
Further, the power grid master data mainly includes grid generator quantity, power grid unit number, interconnection transmission
Power, wind power output, electric load, power purchase expense and power generation expense.
N-1 principle is to determine a kind of criterion of power system security, also known as single failure safety criterion.
Any independent component (generator, transmission line of electricity, transformer according to N-1 criterion, in N number of element of electric system
Deng) break down and be removed after, should not cause because All other routes overload trip due to cause user to have a power failure, do not destroy system
Stability, do not occur the accidents such as collapse of voltage.Compared with fail-safe analysis, N-1 principle is not required to collect element outage rate
It is a kind of extremely easy safety inspection criterion etc. a large amount of initial data, is widely applied in Utilities Electric Co..
In Electric Power Network Planning, N-1 verification should be carried out to the planning done, check whether to meet N-1 principle.If satisfied, then electric
Network planning, which is drawn, to meet the requirements.
2) transmission line malfunction increase-volume elastic model in short-term is established.
The present embodiment uses transfer distribution factor modeling pattern of the unit output as optimized variable, with current power grid tune
The scheduling modeling method that degree center uses is adapted.Without loss of generality, the present embodiment puts aside Line Flow after N-1 failure
Multistage adjustment requirement, only consider the interim increase-volume of trend under line fault conditions, and power grid required to adjust in T time.It is more
The requirement of section adjustment can also be modeled by the method for the present invention.
Generating set is engine, generator and control system composition.
It establishes and considers that the key step of the transmission operation elastic space model of failure increase-volume in short-term is as follows:
2.1) route trend constraint under basic status is determined, it may be assumed that
In formula, fk×1Line Flow vector is tieed up for k.K is power network line number.Unit output vector is tieed up for u.U is
Power grid unit number.Node load, which is tieed up, for n injects vector.Matrix Cn×uFor power grid unit-node connection matrix.Matrix
Ak×nFor the transfer distribution factor matrix of power grid.Matrix Ak×nThe linear coupling relationship of node injection and Line Flow is described.Line threshold transmission capacity vector is tieed up for k.
2.2) Line Flow constraint when moment, unit output not yet adjust after failure is determined, it may be assumed that
In formula, parameter kcFor the increase-volume coefficient in short-term of route under malfunction.kc≥1.(c) N-1 that route c is disconnected is indicated
Fault scenes.C is N-1 failure collection.The new transfer distribution factor matrix of power grid after being disconnected for route c.For route
K ties up Line Flow vector under the N-1 fault scenes that c is disconnected.Power grid turns under the N-1 fault scenes disconnected for route c
Move distribution factor matrix.
2.3) failure TaIn time, unit output adjusts Line Flow.The route tide that unit output adjusts after consideration failure
Stream constraint is as follows:
In formula,For failure unit output vector adjusted,For unit Line Flow adjusted to
Amount.
2.4) unit output adjusts TaThe climbing capacity of unit, obtains T in timeaThe climbing capacity constraint of unit in time
It is as follows:
In formula,For TaThe climbing capacity of unit in time.Unit output vector is tieed up for u.
2.5) constraint condition according to formula 2 to formula 4 establishes the transmission operation elasticity for considering failure increase-volume in short-term
Spatial model.
3) interconnection adjustment elastic model is established.
Currently, the mode that the operational mode of interconnection mainly uses in transmission of electricity link immobilizes for dominant eigenvalues, on
Grade scheduling institution formulates tie-line power transmission plan in a period of time, is issued to each subdispatch mechanism.The mode advantage exists
In easy to accomplish point of electric power saving electric quantity balancing, but the elastic space of interconnection is not made full use of to expand electric power netting safe running domain,
Realize that the coordination of the energy between region is mutually helped.In conjunction with power grid actual operating mode, the present invention proposes that interconnection adjusts springform
Type, tie-line power transmission can adjust, but need to consider the constraint of following three aspect:
It I is) constraint for meeting interconnection outer net service condition, it is equivalent that tie-line power transmission cannot cross the operation of its outer net
Constraint (maximum power that interconnection outer net can support interconnection transmission).
II) consideration convenient for electric network reliability and scheduling, tie-line power transmission meet ladderization constraint.
It III) is the limitation for meeting transregional electricity trading program, the constraint that day exchange electricity need to remain unchanged.
As shown in Figure 1, the active volume of interconnection is limited by generator capacity, the line transmission etc. of interconnection external network
Operation constraint.But the information between regional power grid is difficult to real-time exchange, and this section proposes the outer net static equivalence method of active volume,
By establishing equivalent Optimized model, retain the operation constraint of outer net.
The key step for establishing interconnection adjustment elastic model is as follows:
3.1) the equivalent constraint of confirmation outer net operation, key step are as follows:
3.1.1 equivalent optimization mould) is established according to the operations constraint such as generator capacity, line transmission of interconnection external network
Type.
The objective function of equivalent Optimized model is as shown in formula 5 and formula 6.
CBi'=maxPBi'(i'=1,2 ..., NB)。 (5)
In formula, NBIt is interconnection boundary node number.CBi'For boundary node Bi'The active volume at place.I' is Arbitrary Boundaries
Node.PBi'For boundary node Bi'The active power of transmission；
In formula, CB-allFor section active volume.I' is Arbitrary Boundaries node.PBi'For boundary node Bi'What is transmitted is active
Power.NBIt is interconnection boundary node number.
3.1.2) constraint condition of equivalent Optimized model is to interconnect the operation constraint of outer net, such as formula 7 to 9 institute of formula
Show.
Trend Constraints of Equilibrium is as follows:
PE=BEθE。 (7)
In formula, PEFor outer net and boundary node injecting power vector.θEFor outer net and boundary node phase angle vector.BEBe for
Establish the susceptance submatrix of outer net and boundary node injecting power to the relationship between corresponding phase angle.
Generator capacity constraint is as follows:
In formula, PGEIt is outer net generator active power vector.(*)max、(*)minRespectively represent the bound of variable *.It is outer net generator active power lower limit.It is the outer net generator active power upper limit.
Line transmission power constraint is as follows:
In formula, PlEIt is transmission line of electricity active power vector.(*)max、(*)minRespectively represent the bound of variable *.
It is transmission line of electricity active power lower limit.It is the transmission line of electricity active power upper limit.
3.1.3) the constraint condition according to formula 7 to formula 9, to objective function CBiAnd CB-allIt is updated, obtains
The equivalent constraint of interconnection outer net operation.
fL≤fc。 (10)
In formula, fLFor tie-line power transmission.fcFor equivalent optimum results.
3.2) tie-line power transmission is thought of as by NEPlatform equivalent generator composition, is realized by Unit Combination and is got in touch with
The ladder of linear heat generation rate, so that it is determined that power stepization constrains, it may be assumed that
In formula,WithRespectively interconnection transmission capacity bound.Zi”For characterization equivalent generator unit fortune
The 0-1 variable of row state.Pi”It contributes for the i-th " platform equivalent unit, and unit output is fixed value Pd。NEFor outer net node
Number.
3.3) daily electricity constraint independent of time is determined, it may be assumed that
In formula, D is interconnection day to exchange electricity, is determined by trading program.fL,tFor interconnection period t transmission function
Rate.
3.4) constraint condition according to formula 10 to formula 12, to objective function CBiWith objective function CB-allIt carries out more
Newly, to establish interconnection adjustment elastic model.
4) the N-1 safety economy scheduling model for considering transmission operation elastic space is established.
It establishes and considers that the key step of the N-1 safety economy scheduling model of transmission operation elastic space is as follows:
4.1) with 1h for a period, T=24 is established and is considered grid power transmission operation elastic space for the present embodiment scheduling
Power grid N-1 safety economy scheduling model, by optimizing each unit output and outer net tie-line power transmission, and by abandonment electricity
It is added in objective function in the form of penalty term, keeps overall running cost minimum, available objective function min F:
In formula, F is total power production cost.T is scheduling time.U is unit number.CGi,tFor unit i period t power generation
Expense.CL,tFor the power purchase expense of outer net day part.Cw,tFor Wind turbines period t abandonment punishment cost.
Abandonment punishment cost C of the Wind turbines in period tw,tIt is as follows:
In formula, λwFor abandonment penalty factor.Activity of force is predicted for period t Wind turbines. Pw,tFor Wind turbines
Practical activity of force out.
Unit i mainly includes coal consumption cost C in the power generation expense of period tCi,t, unit starting cost Ci,t,UIt is closed with unit
Stop cost Ci,t,D。
4.2) combination failure increase-volume elastic safety constraint formula (formula 3 to 4) in short-term and interconnection transmit elastic restraint formula
(formula 11 to 12) establishes optimization constraint condition, as shown in formula 15 to 19.
Account load balancing constraints are as follows:
In formula, NgFor system convention generator number of units.Pgi,tFor unit i period t power output. fL,tFor interconnection when
The transimission power of section t.Pw,tFor the wind power output of period t.Pd,tFor total power load of period t.
The constraint of unit output bound is as follows:
In formula, Ii,tEach unit is characterized in the start and stop state of period t.For each unit period t most
Greatly, minimum load.Pgi,tFor unit i period t power output.
Unit minimum start-off time constraints are as follows:
In formula, ti,t,onAnd ti,t,offRespectively unit i moment t lasting booting and shut down the time. Ti,onAnd Ti,off
Respectively unit i is switched on and shuts down the time in the minimum of period t.Ii,tEach unit is characterized in the start and stop state of period t.Ii,t-1Table
Each unit is levied in the start and stop state of period t-1. Ti,UStart the time for unit i.Ti,DThe time is shut down for unit i.
Unit Commitment expense restriction difference is as follows:
In formula, KiAnd JiThe respectively booting of the single of unit i and unit j, idleness expense.
Unit ramp loss is as follows:
Ii,t-1Pi,t-1-λidown≤Pgi,t≤Ii,t-1Pi,t-1+λiup。 (19)
In formula, λiupFor the ratio of slope of climbing of unit i.λidownFor the downward climbing rate of unit i.Pgi,t-1For unit i when
The power output of section t-1.
4.3) linear solution formula 15 is updated objective function min F, to formula 19 to obtain considering transmission of electricity
Run the N-1 safety economy scheduling model of elastic space.
It is linear function or quadratic function according to cost function under normal operating condition of unit, which is MIXED INTEGER
Linear optimization problem (MILP) or MIXED INTEGER double optimization problem (MIQCP), can be by business softwares such as CPLEX or GUROBI
Efficient Solution.
1) method of linear solution, which specifically includes that, carries out linear solution using CPLEX software.2) GUROBI software is utilized
Carry out linear solution.
5) according to the N-1 safety economy scheduling model for considering transmission operation elastic space, power grid is optimized.
Embodiment 2:
A kind of comparative test for the power grid N-1 safety economy method for optimizing scheduling considering transmission operation elastic space, mainly
The following steps are included:
1) test macro is established, that is, establishing IEEE30 node, (No. 7 nodes meet 150MW with IEEE9 node interacted system figure
Wind turbines).
2) different comparison models
The power grid N-1 safety economy method for optimizing scheduling for considering transmission operation elastic space is mentioned for verifying embodiment 1
Validity, assessment considers the economic benefit dispatched a few days ago and wind electricity digestion situation after transmission operation elastic space, using as follows
4 kinds of models are compared:
M1: the conventional economical scheduling scheme of route N-1 failure does not consider failure increase-volume in short-term and interconnection adjustment elasticity.
If route increase-volume coefficient kcIt is 1, the constant 80MW of day part tie-line power transmission.
M2: only consider that the economic dispatch program of failure increase-volume in short-term elasticity (refers to New England of U.S. power grid (ISO-
NE).Line Flow transmission capacity setting: setting route increase-volume coefficient kcIt is 1.2, failure adjustment time T is 15min, day part
The constant 80MW of tie-line power transmission.
M3: only consider the economic dispatch program that interconnection is adjusted flexibly.If route increase-volume coefficient kcIt is 1, interconnection transmission
Power can be adjusted flexibly under the premise of guaranteeing that daily electricity is constant in the case where interconnection transmits security constraint.
M4: while considering the economy of two aspect transmission operation elastic space of failure increase-volume in short-term and interconnection transmission capacity
Scheduling scheme considers the power grid N-1 safety economy method for optimizing scheduling of transmission operation elastic space.If route increase-volume coefficient
kcIt is 1.2, failure adjustment time T is 15min, and tie-line power transmission can be adjusted flexibly in the case where interconnection transmits security constraint.
3) simulation analysis.As shown in Figures 2 and 3, IEEE30 node and IEEE9 node interacted system figure are given, it is typical
Daily load curve and wind-powered electricity generation prediction curve.
First to interconnection can transmission capacity carry out simulation analysis, due to M3, M4 consider interconnection adjustment elasticity,
Interconnection can transmission capacity optimum results it is as shown in Figure 4.
Simulation result shows after considering interconnection safe transmission capacity, transmits safety about compared to traditional interconnection
Beam, more accurate features tie-line power transmission feasible zone, ensure that the safety of contact linear elasticity adjustment
Then the economic benefit of transmission operation elastic space is analyzed.The economic benefit of 4 kinds of scheduling strategies such as table 1
It is shown.As can be seen that M2, M3, M4 reduce 4.3%, 4.1%, 8.9% relative to M1 overall running cost respectively.Simulation result
Show overall running cost all decreases to some degree after considering transmission operation elastic space, considers that failure is short at the same time
When Shi Zengrong and interconnection adjust transmission operation elastic space, operating cost reduction is further decreased.
The economic efficiency contrast of 14 kinds of scheduling strategies of table is analyzed
Further analysis considers the wind electricity digestion benefit of each scheduling strategy of transmission operation elastic space.Fig. 3 is each scheduling
The practical power output situation of tactful wind-powered electricity generation, it can be seen that after considering transmission operation elastic space, in the abandonment amount of abandonment period
There is apparent reduction, table 2 lists the wind electricity digestion index of each scheduling strategy, when consideration transmission operation elastic space carries out
Optimized Operation a few days ago, M2, M3, M4 reduce 4.7%, 2.9%, 7.8% relative to the full scheduling slot abandonment ratio of M1 respectively,
Have relative to M1 wind-powered electricity generation abandonment ratio reduces to a certain extent, considers faulty line increase-volume in short-term and interconnection tune at the same time
When whole transmission operation elastic space, abandonment ratio is further decreased.Simulation result shows after considering transmission operation elastic space
The feasible zone for expanding unit output improves the transmission capacity of route, improves the ability that power grid receives wind-powered electricity generation.
The wind electricity digestion Comparative result of 24 kinds of scheduling strategies of table is analyzed
Claims (6)
1. consider transmission operation elastic space power grid N-1 safety economy method for optimizing scheduling, it is characterised in that: mainly include with
Lower step:
1) the power grid master data is obtained；
2) transmission line malfunction increase-volume elastic model in short-term is established；
3) interconnection adjustment elastic model is established；
4) the N-1 safety economy scheduling model for considering transmission operation elastic space is established.
5) according to the N-1 safety economy scheduling model for considering transmission operation elastic space, power grid is optimized.
2. a kind of power grid N-1 safety economy optimizing scheduling side for considering transmission operation elastic space according to claim 1
Method, it is characterised in that: the power grid master data mainly includes that system loading data, new energy predict force data, unit, net
Network parameter and interconnection parameter.
3. a kind of power grid N-1 safety economy optimizing scheduling for considering transmission operation elastic space according to claim 1 or 2
Method, it is characterised in that: establish and consider that the key step of the transmission operation elastic space model of failure increase-volume in short-term is as follows:
1) route trend constraint under basic status is determined, it may be assumed that
In formula, fk×1Line Flow vector is tieed up for k；K is power network line number；Unit output vector is tieed up for u；U is power grid machine
Group number；Node load, which is tieed up, for n injects vector；Matrix Cn×uFor power grid unit-node connection matrix；Matrix Ak×nFor electricity
The transfer distribution factor matrix of net；Matrix Ak×nThe linear coupling relationship of node injection and Line Flow is described；Line is tieed up for k
Road Total transfer capability vector；
2) Line Flow constraint when moment, unit output not yet adjust after failure is determined, it may be assumed that
In formula, parameter kcFor the increase-volume coefficient in short-term of route under malfunction, kc≥1；Subscript (c) indicates the N-1 that route c is disconnected
Fault scenes；C is N-1 failure collection；The new transfer distribution factor matrix of power grid after being disconnected for route c；
3) failure TaIn time, unit output adjusts Line Flow.The Line Flow constraint that unit output adjusts after consideration failure is such as
Shown in lower:
In formula,For failure unit output vector adjusted；For unit Line Flow vector adjusted；TaFor
Fault time；
4) unit output adjusts TaThe climbing capacity of unit, obtains T in timeaThe climbing capacity of unit constrains following institute in time
Show:
In formula,For TaThe climbing capacity of unit in time；Unit output vector is tieed up for u.
4. a kind of power grid N-1 safety economy optimizing scheduling for considering transmission operation elastic space according to claim 1 or 3
Method, which is characterized in that the key step for establishing interconnection adjustment elastic model is as follows:
1) the equivalent constraint of confirmation outer net operation, key step are as follows:
1.1) equivalent Optimized model is established according to the operations constraint such as generator capacity, line transmission of interconnection external network；
The objective function of equivalent Optimized model is as shown in formula 5 and formula 6；
CBi'=maxPBi'(i'=1,2 ..., NB)； (5)
In formula, NBIt is interconnection boundary node number；CBi'For boundary node Bi'The active volume at place；I' is Arbitrary Boundaries node；
PBi'For boundary node Bi'The active power of transmission；
In formula, CB-allFor section active volume；I' is Arbitrary Boundaries node；PBi'For boundary node Bi' transmission active power；NB
It is interconnection boundary node number；
1.2) constraint condition of equivalent Optimized model is to interconnect the operation constraint of outer net, as shown in formula 7 to formula 9；
Trend Constraints of Equilibrium is as follows:
PE=BEθE； (7)
In formula, PEFor outer net and boundary node injecting power vector；θEFor outer net and boundary node phase angle vector；BEIt is to establish
The susceptance submatrix of outer net and boundary node injecting power and the relationship between corresponding phase angle；
Generator capacity constraint is as follows:
In formula, PGEIt is outer net generator active power vector；(*)max、(*)minRespectively represent the bound of variable *；
Line transmission power constraint is as follows:
In formula, PlEIt is transmission line of electricity active power vector；(*)max、(*)minRespectively represent the bound of variable *；
1.3) constraint condition according to formula 7 to formula 9, to objective function CBi'And CB-allIt is updated, obtains outside interconnection
The equivalent constraint of net operation；
fL≤fc； (10)
In formula, fLFor tie-line power transmission, fcFor equivalent optimum results；
2) determine that power stepization constrains, it may be assumed that
In formula,WithRespectively interconnection transmission capacity bound；Zi”Shape is run for characterization equivalent generator unit
The 0-1 variable of state；Pi”For the i-th " platform equivalent unit power output；Unit output is fixed value Pd；
3) daily electricity constraint independent of time is determined, it may be assumed that
In formula, D is interconnection day to exchange electricity, is determined by trading program；fL,tFor interconnection period t transimission power；
4) constraint condition according to formula 10 to formula 12 establishes interconnection adjustment elastic model.
5. a kind of power grid N-1 safety economy optimizing scheduling for considering transmission operation elastic space according to claim 1 or 2
Method, which is characterized in that establish and consider that the key step of the N-1 safety economy scheduling model of transmission operation elastic space is as follows:
1) objective function min F is determined, it may be assumed that
In formula, F is total power production cost；T is scheduling time；U is unit number；CGi,tFor unit i period t power generation expense；
CL,tFor the power purchase expense of outer net day part；Cw,tFor Wind turbines period t abandonment punishment cost；
Abandonment punishment cost C of the Wind turbines in period tw,tIt is as follows:
In formula, λwFor abandonment penalty factor；Activity of force is predicted for period t Wind turbines；Pw,tFor the practical power output of Wind turbines
Power；
Unit i mainly includes coal consumption cost C in the power generation expense of period tCi,t, unit starting cost Ci,t,UCost is shut down with unit
Ci,t,D；
2) increase-volume elastic safety constraint formula and interconnection transmit elastic restraint formula to combination failure in short-term, establish optimization constraint condition,
As shown in formula 15 to 19；
Power-balance constraint is as follows:
In formula, NgFor system convention generator number of units；Pgi,tFor unit i period t power output；fL,tIt is interconnection period t's
Transimission power；Pw,tFor the wind power output of period t；Pd,tFor total power load of period t；
The constraint of unit output bound is as follows:
In formula, Ii,tEach unit is characterized in the start and stop state of period t；For each unit period t maximum, most
Small power output；Pgi,tFor unit i period t power output；
Unit minimum start-off time constraints are as follows:
In formula, ti,t,onAnd ti,t,offRespectively unit i moment t lasting booting and shut down the time；Ti,onAnd Ti,offRespectively
Unit i is switched on and shuts down the time in the minimum of period t；Ii,tEach unit is characterized in the start and stop state of period t；Ii,t-1Characterize each machine
Start and stop state of the group in period t-1；Ti,UStart the time for unit i；Ti,DThe time is shut down for unit i；
Unit Commitment expense restriction is as follows:
In formula, KiAnd JiThe single startup-shutdown expense of respectively unit i and unit j；
Unit ramp loss is as follows:
Ii,t-1Pi,t-1-λidown≤Pgi,t≤Ii,t-1Pi,t-1+λiup； (19)
In formula, λiupFor the ratio of slope of climbing of unit i；λidownFor the downward climbing rate of unit i；
3) linear solution formula 15 is updated objective function min F, to formula 19 to obtain considering transmission operation elasticity
The N-1 safety economy scheduling model in space.
6. a kind of power grid N-1 safety economy optimizing scheduling for considering transmission operation elastic space according to claim 1 or 2
Method, which is characterized in that the 1) method of linear solution, which specifically includes that, carries out linear solution using CPLEX software；2) it utilizes
GUROBI software carries out linear solution.
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