CN104598991B - Consider outer power transmission transaction, transprovincially transregional interconnection transaction and the Unit Combination acquisition methods of security constraint - Google Patents
Consider outer power transmission transaction, transprovincially transregional interconnection transaction and the Unit Combination acquisition methods of security constraint Download PDFInfo
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Abstract
The invention discloses one kind to consider outer power transmission transaction, transregional interconnection transaction transprovincially and the Unit Combination acquisition methods of security constraint, this method is traded plan and operation plan as background using Utilities Electric Co., need to embody the economic performance problem of trade variety and rule for electricity transaction, establish the mathematical model towards transaction composition, the object function of optimization is that Utilities Electric Co. buys outer power transmission transaction and transregional interconnection tranaction costs transprovincially are minimum, constraints includes the security constraint of operation of power networks, the physical constraint of unit operation and transaction composition constraint, the Utilities Electric Co. that can help to need to consider trade variety and rule formulates trading program and operation plan, improve the science and validity of decision-making, contribute to the power purchase strategy and purchases strategies of optimization Utilities Electric Co., lift the lean operation level of electricity transaction business.
Description
Technical field
The invention belongs to Utilities Electric Co.'s meter and the Unit Combination field of transaction composition and security constraint, more particularly to consider outer
The formulation that power transmission is merchandised with the operation plan of transregional interconnection transaction transprovincially.
Background technology
From the point of view of electricity market reform situation in recent years, the regional power grid unified electricity market that country mainly carries out is built
If during, due to the influence of many factors such as each province's level of economic development difference, electricity price level difference, electricity marketization changes
Leather encounters bigger difficulty and resistance, and regional power grid unified electricity market is handling coordination of each side concerned's interests etc.,
Also various complicated sharp contradictions are faced with.Meanwhile to meet social economy's fast development needs, alleviate power supply contradiction,
Short of electricity and nest electricity and the situation deposited effectively are solved, there is an urgent need for realize optimization of energy resources in China.With alternating current-direct current
Extra-high voltage progressively puts into operation, and grid contact is increasingly close between major area and province, to realize that the most optimum distribution of resources in the whole country carries
Solid hardware foundation is supplied.Therefore, between major area and province and inside the province trading program become realize that global resource is distributed rationally
Key point.
Since modeling of the electricity transaction for resource is not limited in the physical characteristics such as unit, circuit, more often also need
Embody the economic performances such as trade variety, trading rules.Therefore, under the target that global resource is distributed rationally, there is an urgent need for for not
With the characteristic of electricity transaction composition, overall planning, studies the power generation dispatching towards transaction composition.In composition of merchandising, weigh here
Point considers that outer power transmission transaction is distributed rationally with what transregional interconnection transprovincially was merchandised.
Unit Combination under Power Market is considered as Network Security Constraints has become a kind of common recognition.The transmission of electric power must
Must be using electric power networks as support, and follow specific physics law, i.e., always along the path of impedance minimum.This that is,
On electricity market, it is difficult to determine the relation between specific consumer and specific provider.The influence of network can also cause
The problem of power trade of different directions mutually restricts.Therefore, Unit Combination only has the constraint of meter and electric power networks, could protect
Optimal power trade is realized while the safe and reliable operation for demonstrate,proving power grid.
The content of the invention
It is an object of the invention to provide power transmission transaction, transprovincially transregional interconnection transaction and security constraint outside a kind of consideration
Unit Combination acquisition methods.
To reach above-mentioned purpose, present invention employs following technical scheme.
The first step, three-dimensional is expanded to by the dimension of optimized variable unit output, wherein the first dimension is the time, the second dimension is machine
Group power generating value, the third dimension are the trade varieties of the power of the assembling unit, and trade variety includes the transaction of outer power transmission, transprovincially transregional interconnection transaction
Merchandise with basic electricity；
Second step, establishes Optimized model, the object function of Optimized model be system the transaction of outer power transmission with it is transregional transprovincially
Winding thread transaction power purchase expense is minimum, and the constraints of Optimized model includes the constraint of unit gross capability, participates in the machine of outer power transmission transaction
The unit of group transaction Constraint, the unit output constraint for being not involved in outer power transmission transaction, participation transregional interconnection transaction transprovincially is handed over
Easy Constraint and the unit output constraint for being not involved in transregional interconnection transaction transprovincially；
3rd step, is solved to obtain each trade variety power generating value of unit during power purchase expense minimum to Optimized model.
The unit gross capability constraint representation is：
Wherein, Tra represents trade variety number；Pi,tRepresent gross capability values of the unit i t-th of period；Pi,t,jTable
Show power generating values of the unit i in t-th of period, j-th of trade variety.
The unit transaction Constraint of the outer power transmission transaction of the participation is expressed as：
Wherein,Represent the outer power transmission trade contract charge value signed in contract time Tout；Tout represents outer power transmission
The trade contract time；Iout represents to participate in the unit number of outer power transmission transaction；Pi,t,outRepresent that unit i is handed over t-th of period
Easy kind is the power generating value of outer power transmission transaction；Δ t represents time segment length.
It is described be not involved in the transaction of outer power transmission unit output constraint representation be：
Wherein, inotRepresent to be not involved in the unit that outer power transmission is merchandised.
The unit transaction Constraint of the participation transregional interconnection transaction transprovincially is expressed as：
Wherein,Represent the interconnection trade contract charge value transregional transprovincially signed in contract time Tcont；Tcont
Represent the transregional interconnection trade contract time transprovincially；Icont represents to participate in the unit number of transregional interconnection transaction transprovincially；
Pi,t,contRepresent power generating values of the unit i in t-th of period trade variety for transregional interconnection transaction transprovincially；Δ t represents the time
Segment length.
It is described be not involved in transregional interconnection transaction transprovincially unit output constraint representation be：
Wherein, inotRepresent to be not involved in the unit of transregional interconnection transaction transprovincially.
The constraints of the Optimized model further includes the constraint of unit output bound, unit minimum continuous start-stop time about
Beam, the power-balance constraint of system, the spare capacity of system constrain and the Transmission Capacity Constraints of circuit.
The object function is expressed as：
Wherein, F represents power transmission transaction and the power purchase expense of Utilities Electric Co. in transregional interconnection transaction transprovincially outside system；T
Represent the time hop count in research cycle；Unit number in I expression systems；Δ t represents time segment length；Costi,outExpression machine
During group i contributes, when trade variety is merchandised for outer power transmission, the power purchase expense of Utilities Electric Co.；Costi,contIn representing that unit i contributes,
When trade variety is transregional interconnection transaction transprovincially, the power purchase expense of Utilities Electric Co.；Pi,t,contRepresent unit i t-th of time
Section trade variety is the power generating value of transregional interconnection transaction transprovincially；Pi,t,outRepresent that unit i is in t-th of period trade variety
The power generating value of outer power transmission transaction, zi,t=1 expression unit i is in open state, z t-th of periodi,t=0 expression unit i exists
T-th of period is in shutdown status.
Beneficial effects of the present invention are embodied in：
Classified in the present invention by transaction composition to unit output, by conventional two-dimensional unit output Model Extension into three-dimensional
Unit output model, so as to introduce transaction compositional factors in Unit Combination, and establish on this basis consider outer power transmission merchandise,
Transregional interconnection transaction transprovincially and the mathematical model of the Unit Combination of security constraint, with the transaction of outer power transmission and transregional contact transprovincially
The minimum target of Utilities Electric Co.'s purchases strategies optimizes in line transaction, to consider that outer power transmission is counted with transregional interconnection transaction transprovincially
Draw and the formulation of operation plan provides a strong guarantee, trade variety and rule can be embodied in electricity transaction is for the modeling of resource
Then, the trading program and operation plan for realizing Utilities Electric Co. coordinate and optimize, and improve the science and validity of decision-making, adapt to concentrate
The requirement that united market is runed after deployment.
Brief description of the drawings
Fig. 1 is conventional rack combined two-dimension model；
Fig. 2 is the Unit Combination threedimensional model for considering transaction component；
Fig. 3 is the solution flow diagram of model；
Fig. 4 is grid wiring diagram, wherein：BUS represents busbar；
Fig. 5 is each moment output power diagram of unit 5；
Embodiment
The invention will be further described with reference to the accompanying drawings and examples.
First, unit output dimension is expanded
How to realize that the identification of more transaction compositions and classification are that foundation considers outer power transmission transaction, transprovincially transregional interconnection is merchandised
With the basis of the Optimization of Unit Commitment By Improved of security constraint.
As shown in Figure 1, the Unit Combination model of original consideration security constraint is two dimensional models, the unit in model goes out
Power is and the relevant two-dimentional continuous variable of time, unit.Particularly, each unit has in the time span that some sets
One power output state；There is a power output state in each period of some unit in the time span of research.
When introducing multi-exchange composition, the power that every unit is sent just is provided with trade variety attribute.Can be so
Understand, if it is P that certain period of unit, which contributes, then m1%*The trade variety of P power is merchandised for basic electricity, m2%*P work(
The trade variety of rate is merchandised for outer power transmission, m3%*The trade variety of P power is transregional interconnection transaction transprovincially.Wherein, Ge Gejiao
Percentage summation shared by easy kind is 1, is expressed as m1+m2+m3=100.Here, power transmission is merchandised, transprovincially except basic electricity refers to
Transregional interconnection transaction and the electric power of special deal component, special deal component is Direct Purchase of Electric Energy by Large Users and Generation Rights Trade.
At this moment, consider that the Unit Combination model of transaction composition and security constraint should be changed into by two traditional dimensional models
Three dimensionality model, the unit output in model are and time, unit, the relevant three-dimensional continuous variable of transaction component.Particularly,
Each unit has a power output state in the time span that some sets；Some unit is in the time span of research
Each period have a power output state；Each unit is contributed in each period a trade variety attribute,
As shown in Figure 2.
According to being analyzed in Fig. 2, it is P that unit is contributed in time t (1), then a part of power transaction composition is that outer power transmission is handed over
Easily, a part of power transaction composition is transregional interconnection transaction transprovincially, some power transaction component is basic electricity transaction.
From the above mentioned, in the modeling for considering transaction component, power needs to carry out expanding dimension processing, by the two dimension of script
Degree model extension becomes three dimensionality model.This is the modeling optimized integration for considering multi-exchange composition.
The trade variety of unit output is merchandised by basic electricity, the transaction of outer power transmission and transregional interconnection transaction transprovincially are formed,
Therefore unit gross capability is expressed as：
Wherein, Tra represents trade variety number；Pi,tRepresent gross capability values of the unit i t-th of period；Pi,t,jExpression machine
Power generating values of the group i in t-th of period, j-th of trade variety.
2nd, meter and the mode that outer power transmission is merchandised in a model
Outer power transmission transaction refers mainly to the outer power transmission transaction of region class, power grid level Utilities Electric Co..This transaction is in some electric power
Company electric power deficiency or since other reasons need to occur during other grid transmissions, this transaction is generally closer to the distance adjacent
It is unfolded between Utilities Electric Co..Outer power transmission transaction has all embodied in the constraints of model and object function.Outer power transmission transaction
Meter and mode in object function are shown in Part IV.
Meter and mode of the outer power transmission transaction in constraints are as follows：
It is negotiated to determine if predicted using annual contract trade mode, Utilities Electric Co. between net according to annual electrical demand
Electricity price, signs purchase sale of electricity contract between year net.The unit transaction Constraint for so participating in outer power transmission transaction is expressed as：
Wherein,Represent the outer power transmission trade contract charge value signed in contract time Tout；Tout represents outer power transmission
The trade contract time；Iout represents to participate in the unit number of outer power transmission transaction；Pi,t,outRepresent that unit i merchandises t-th of period
Kind is the power generating value of outer power transmission transaction；Δ t represents time segment length.
And the unit output constraint representation for being not involved in sending outside electricity transaction is：
Wherein, inotRepresent to be not involved in the unit that outer power transmission is merchandised.
3rd, meter and the mode that transprovincially transregional interconnection is merchandised in a model
Interconnecting ties electricity transaction scale embodies the tightness degree that power grid connects each other from a side.Each subregion electricity
Net often needs the exchange power on agreement interconnection, is carried out according to bilateral electricity contract for the consideration of security and economy
Transaction.In addition, to ensure power demand of the power grid under normal and accident mode, there should be enough power branch between partition power grid
Help ability.Electric Power Network Planning can strengthen interconnecting ties passage construction by optimizing electricity transaction scale between partition power grid, improve point
Area's grid power transmission and support ability, make planning operation of power networks more flexible, are provided a strong guarantee for electricity transaction, maximum model
Enclose and realize global resource energy-consuming.
Transprovincially transregional interconnection transaction has all embodied in the constraints of model and object function.Transregional contact transprovincially
Meter and mode of the line transaction in object function are shown in Part IV.
Meter and mode of the transregional interconnection transaction transprovincially in constraints are as follows：
Each partition power grid often needs the exchange power on agreement interconnection for the consideration of security and economy, according to
Bilateral electricity contract is traded.At this time, the unit transaction Constraint for participating in transregional interconnection transaction transprovincially is expressed as：
Wherein,Represent the interconnection trade contract charge value transregional transprovincially signed in contract time Tcont；Tcont
Represent the transregional interconnection trade contract time transprovincially；Icont represents to participate in the unit number of transregional interconnection transaction transprovincially；
Pi,t,contRepresent power generating values of the unit i in t-th of period trade variety for transregional interconnection transaction transprovincially；Δ t represents the period
Length.
And the unit output constraint representation for being not involved in transregional interconnection transaction transprovincially is：
Wherein, inotRepresent to be not involved in the unit of transregional interconnection transaction transprovincially.
4th, outer power transmission transaction, transprovincially transregional interconnection transaction and the Unit Combination model of security constraint are considered
Object function
The object function that the present invention establishes model is that the outer power transmission transaction of system and electric power in transregional interconnection transaction transprovincially are public
The power purchase expense of department is minimum, is shown below：
Wherein, F represents power transmission transaction and the power purchase expense of Utilities Electric Co. in transregional interconnection transaction transprovincially outside system；T
Represent the when hop count in research cycle；Unit number in I expression systems；Δ t represents time segment length；Costi,outRepresent i-th
In unit output, when trade variety is merchandised for outer power transmission, the power purchase expense of Utilities Electric Co.；Costi,contRepresent that i-th of unit goes out
In power, when trade variety is transregional interconnection transaction transprovincially, the power purchase expense of Utilities Electric Co.；Pi,t,contRepresent unit i at t-th
Period trade variety is the power generating value of transregional interconnection transaction transprovincially；Pi,t,outRepresent that unit i is in t-th of period trade variety
The power generating value of outer power transmission transaction；zi,tRepresent unit i in the state of t-th of period, zi,t=1 represents to be in open state, zi,t=
0 represents to be in shutdown status.
Constraints
1) unit output bound constrains
In formula：
Pi,max, Pi,minRepresent the upper and lower limit that i-th of machine set technology is contributed；Pi,t,jRepresent unit i in t-th of period jth
The power generating value of a trade variety；Tra represents trade variety number.
2) the minimum continuous start-off time constraints of unit
Ti on≥MUTi
Ti off≥MDTi
In formula：
Ti on、Ti offRepresent the unit i times continuously run and the time continuously stopped transport；
MUTi、MDTiRepresent unit i minimums run time and minimum idle time；
3) power-balance constraint of system
In formula：
DtRepresent the system total load of t moment.
4) Transmission Capacity Constraints of circuit
pl,min≤pl≤pl,max
In formula：
plRepresent the power by circuit l；pl,min、pl,maxThe power upper and lower limit of circuit l is represented respectively.
5) the spare capacity constraint of system
In formula：
Rt,minRepresent the spinning reserve demand minimum value of t period systems.
More than in addition to 5 constraintss, it is also necessary to the unit including the constraint of unit gross capability, the outer power transmission transaction of participation
Transaction Constraint, the unit output constraint for being not involved in outer power transmission transaction, the unit transaction for participating in transregional interconnection transaction transprovincially
Constraint and the unit output constraint for being not involved in transregional interconnection transaction transprovincially, it is detailed with Part III that these constrain in second
Illustrate.
5th, the acquisition methods of result
As a result acquisition is to establish the outer power transmission transaction of consideration, transprovincially transregional interconnection transaction and the unit group of security constraint
In molding type, optimization program is write under VS2008 environment using C Plus Plus, is realized by Cplex API to being mixed in Cplex
The calling of integer optimization solver, the solution of implementation model calculate, and finally obtain result.
The Unit Combination model for considering outer power transmission transaction, transprovincially transregional interconnection transaction and security constraint is electric system warp
The improvement of Ji scheduling model.Economic Dispatch model is more complicated, especially dynamic economic dispatch model, mathematically
Be presented high dimension, nonconvex property, discreteness, nonlinear feature, solve it is difficult, be all the time educational circles's research difficulties it
One.The method for solving enlightenment formula method of academia's research, dynamic programming, Lagrangian Relaxation, branch and bound method, heredity
The artificial intelligence class algorithm such as algorithm, particle cluster algorithm, ant group algorithm.Now with commercial planning software Cplex, Xpress,
The maturation of Gurobi etc., the solution of Optimized model is realized based on these commercialization optimization softwares, can not only reduce engineering technology people
The time of member's exploitation program, more times are put into the foundation of model and the design of scheme, model can also be improved and asked
Solve accuracy and robustness.Since Electrical Power System Dynamic economic load dispatching model is to consider outer power transmission transaction, transprovincially transregional interconnection
Transaction and the basis of the Unit Combination model of security constraint, the present invention realize dynamic economy based on commercial planning software Cplex
Scheduling model optimization calculates.Cplex is based on the commercial planning software that various optimization solvers are core.It can solve linear gauge
Draw problem and mixed integer programming problem.It can solve the problems, such as linear programming, quadratic programming, quadratic constraints type.
Optimization program is write under VS2008 environment using C Plus Plus, is realized by Cplex API to being mixed in Cplex
The calling of integer optimization solver is closed, solves established model.Fig. 3 gives the application flow of model core optimization program.
Simulation example：
Firstly, it is necessary to point out：The model of the present invention is improved on the basis of traditional Economic Dispatch model
's.Solved using Cplex, realize the solution for considering outer power transmission and transregional interconnection transaction optimization problem transprovincially.
The IEEE RTS examples of modification are taken in emulation, and system one shares thermal power generation unit 26, total installation of generating capacity
3105MW, annual peak load 2550MW, occur not considering 6 Hydropower Units in former example in the winter time, in the example of modification, and
Hydropower installed capacity has been subtracted in workload demand.It is assumed here that when Δ t=1 is small, the period take 24 it is small when.Grid wiring diagram
See Fig. 4, table 1 gives the parameter of unit.Table 2 gives the parameter for participating in outer power transmission transaction.It is transregional transprovincially that table 3 gives participation
The parameter of interconnection transaction.Table 4 gives sequential load.Table 5 gives outer power transmission prediction sequential power.Table 6 gives transprovincially
Transregional interconnection predicts sequential power.
The parameter of unit in 1 simulation example of table
Table 2 participates in the parameter of outer power transmission transaction
Table 3 participates in the parameter of transregional interconnection transaction transprovincially
4 sequential load of table
| Period | Load value (MW) | Period | Load value (MW) |
| 1 | 1923 | 13 | 2293.5 |
| 2 | 1923 | 14 | 2293.5 |
| 3 | 1923 | 15 | 2293.5 |
| 4 | 1923 | 16 | 2293.5 |
| 5 | 1923 | 17 | 2293.5 |
| 6 | 1923 | 18 | 2293.5 |
| 7 | 1923 | 19 | 2293.5 |
| 8 | 1923 | 20 | 2293.5 |
| 9 | 1923 | 21 | 2293.5 |
| 10 | 1923 | 22 | 2293.5 |
| 11 | 1923 | 23 | 2293.5 |
| 12 | 1923 | 24 | 2293.5 |
5 outer power transmission of table predicts sequential power
Transprovincially transregional interconnection predicts sequential load to table 6
| Period | Dominant eigenvalues value (MW) | Period | Dominant eigenvalues value (MW) |
| 1 | 150 | 13 | 90 |
| 2 | 150 | 14 | 90 |
| 3 | 150 | 15 | 90 |
| 4 | 150 | 16 | 90 |
| 5 | 150 | 17 | 90 |
| 6 | 150 | 18 | 90 |
| 7 | 150 | 19 | 90 |
| 8 | 150 | 20 | 90 |
| 9 | 150 | 21 | 90 |
| 10 | 150 | 22 | 90 |
| 11 | 150 | 23 | 90 |
| 12 | 150 | 24 | 90 |
Meanwhile traditional model is contrasted with operating cost and the model emulation of the minimum object function of payment for initiation, as a result
It is as follows.Table 7 is the Comparative result of different target function model.It can be seen from the figure that model of the present invention obtain send telephone order outside
The electricity charge are sent outside than traditional model purchases by telephone that the electricity charge are less, and transprovincially transregional interconnection power purchase expense is than traditional power purchase expense more
It is few.At this time, the output power diagram of unit 5 is shown in Fig. 5.By Fig. 5 it can be seen that the power generating value at 5 each moment of unit, and performance number
Trade variety.
7 different target function model Comparative result of table
Can see by above-mentioned emulation, this simulation example the result is that feasible, and can guide Utilities Electric Co. exist
When considering outer power transmission with transregional interconnection transaction optimization transprovincially, the Unit Combination decision-making for considering security constraint is formulated, improves decision-making
Science and validity, realize that the trading program of Utilities Electric Co. is coordinated and optimized with operation plan, help to optimize Utilities Electric Co.
Power purchase strategy and purchases strategies, lifted electricity transaction business lean operation level, reach advantageous effect of the invention.
The present invention is counted for Utilities Electric Co. and the realistic problem of the Unit Combination of transaction composition and security constraint, based on reality
Electric system trading program and operation plan requirement, establish consider the transaction of outer power transmission, transregional interconnection transaction transprovincially with it is safe
The mathematical model of the Unit Combination of constraint.Electric system trading program and Unit Combination decision-making are considered as a whole in modeling process,
Coordination optimization, emphasis considers the power purchase Cost Optimization of outer power transmission transaction and transregional interconnection transaction transprovincially in composition of merchandising,
The Constraint of outer power transmission transaction and transregional interconnection transaction transprovincially is considered in model.While in order to realize more transaction compositions
Identification and classification, by conventional two-dimensional unit output Model Extension into three-dimensional unit output model, so as to be introduced in Unit Combination
Transaction compositional factors.
The mathematical model collectively as decision variable, plans as a whole the unit output of consideration trade variety and start and stop state variable
Optimization.The object function of optimization is that the outer power transmission of system is merchandised with the power purchase expense of Utilities Electric Co. in transregional interconnection transaction transprovincially most
It is small, the security constraint and the physical constraint of generator operation of constraints including operation of power networks and the transaction of outer power transmission with transprovincially across
The Constraint of area's interconnection transaction.The foundation of mathematical model and use can help to need to be related to consider outer power transmission transaction and across
The Utilities Electric Co. for saving transregional interconnection transaction carries out the formulation of operation plan, improves the science and validity of decision-making, contributes to
Optimize the power purchase strategy and purchases strategies of Utilities Electric Co., lift the lean operation level of electricity transaction business.
Claims (5)
1. a kind of outer power transmission transaction of consideration, transprovincially transregional interconnection transaction and the Unit Combination acquisition methods of security constraint, it is special
Sign is：Comprise the following steps：
The first step, three-dimensional is expanded to by the dimension of optimized variable unit output, wherein the first dimension is the time, the second dimension is that unit goes out
Force value, the third dimension are the trade varieties of the power of the assembling unit, and trade variety includes the transaction of outer power transmission, transprovincially transregional interconnection transaction and base
This electricity is merchandised；
Second step, establishes Optimized model, the object function of Optimized model is the outer power transmission transaction of system and transregional interconnection transprovincially
Power purchase of merchandising expense is minimum, and unit of the constraints of Optimized model including the constraint of unit gross capability, the outer power transmission transaction of participation is handed over
Easy Constraint, the unit output constraint for being not involved in outer power transmission transaction, the unit transaction electricity for participating in transregional interconnection transaction transprovincially
Amount constraint and the unit output constraint for being not involved in transregional interconnection transaction transprovincially；
The object function is expressed as：
<mrow>
<mi>min</mi>
<mi> </mi>
<mi>F</mi>
<mo>=</mo>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>t</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>T</mi>
</munderover>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mi>I</mi>
</munderover>
<mrow>
<mo>(</mo>
<msub>
<mi>P</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>t</mi>
<mo>,</mo>
<mi>o</mi>
<mi>u</mi>
<mi>t</mi>
</mrow>
</msub>
<mo>*</mo>
<mi>&Delta;</mi>
<mi>t</mi>
<mo>*</mo>
<msub>
<mi>Cost</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>o</mi>
<mi>u</mi>
<mi>t</mi>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>P</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>t</mi>
<mo>,</mo>
<mi>c</mi>
<mi>o</mi>
<mi>n</mi>
<mi>t</mi>
</mrow>
</msub>
<mo>*</mo>
<mi>&Delta;</mi>
<mi>t</mi>
<mo>*</mo>
<msub>
<mi>Cost</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>c</mi>
<mi>o</mi>
<mi>n</mi>
<mi>t</mi>
</mrow>
</msub>
<mo>)</mo>
</mrow>
<mo>*</mo>
<msub>
<mi>z</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>t</mi>
</mrow>
</msub>
</mrow>
Wherein, F represents power transmission transaction and the power purchase expense of Utilities Electric Co. in transregional interconnection transaction transprovincially outside system；T is represented
Time hop count in research cycle；Unit number in I expression systems；Δ t represents time segment length；Costi,outRepresent that unit i goes out
In power, when trade variety is merchandised for outer power transmission, the power purchase expense of Utilities Electric Co.；Costi,contIn representing that unit i contributes, intensive good
When kind is transregional interconnection transaction transprovincially, the power purchase expense of Utilities Electric Co.；Pi,t,contRepresent that unit i merchandises t-th of period
Kind is the power generating value of transregional interconnection transaction transprovincially；Pi,t,outExpression unit i is outer power transmission in t-th of period trade variety
The power generating value of transaction, zi,t=1 expression unit i is in open state, z t-th of periodi,t=0 represents unit i at t-th
Period is in shutdown status；
The unit transaction Constraint of the outer power transmission transaction of the participation is expressed as：
<mrow>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>I</mi>
<mi>o</mi>
<mi>u</mi>
<mi>t</mi>
</mrow>
</munderover>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>t</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>T</mi>
<mi>o</mi>
<mi>u</mi>
<mi>t</mi>
</mrow>
</munderover>
<mrow>
<mo>(</mo>
<msub>
<mi>P</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>t</mi>
<mo>,</mo>
<mi>o</mi>
<mi>u</mi>
<mi>t</mi>
</mrow>
</msub>
<mo>*</mo>
<mi>&Delta;</mi>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msub>
<mover>
<mi>Q</mi>
<mo>&OverBar;</mo>
</mover>
<mrow>
<mi>e</mi>
<mo>,</mo>
<mi>T</mi>
<mi>o</mi>
<mi>u</mi>
<mi>t</mi>
</mrow>
</msub>
</mrow>
Wherein,Represent the outer power transmission trade contract charge value signed in contract time Tout；Tout represents outer power transmission transaction
The contract time；Iout represents to participate in the unit number of outer power transmission transaction；Δ t represents time segment length；
The unit transaction Constraint of the participation transregional interconnection transaction transprovincially is expressed as：
<mrow>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>I</mi>
<mi>c</mi>
<mi>o</mi>
<mi>n</mi>
<mi>t</mi>
</mrow>
</munderover>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>t</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>T</mi>
<mi>c</mi>
<mi>o</mi>
<mi>n</mi>
<mi>t</mi>
</mrow>
</munderover>
<mrow>
<mo>(</mo>
<msub>
<mi>P</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>t</mi>
<mo>,</mo>
<mi>c</mi>
<mi>o</mi>
<mi>n</mi>
<mi>t</mi>
</mrow>
</msub>
<mo>*</mo>
<mi>&Delta;</mi>
<mi>t</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msub>
<mover>
<mi>Q</mi>
<mo>&OverBar;</mo>
</mover>
<mrow>
<mi>c</mi>
<mo>,</mo>
<mi>T</mi>
<mi>c</mi>
<mi>o</mi>
<mi>n</mi>
<mi>t</mi>
</mrow>
</msub>
</mrow>
Wherein,Represent the interconnection trade contract charge value transregional transprovincially signed in contract time Tcont；Tcont is represented
The transregional interconnection trade contract time transprovincially；Icont represents to participate in the unit number of transregional interconnection transaction transprovincially；
3rd step, is solved to obtain each trade variety power generating value of unit during power purchase expense minimum to Optimized model.
2. a kind of outer power transmission transaction of consideration, transprovincially transregional interconnection transaction and the unit of security constraint according to claim 1
Combine acquisition methods, it is characterised in that：The unit gross capability constraint representation is：
<mrow>
<munderover>
<mo>&Sigma;</mo>
<mrow>
<mi>j</mi>
<mo>=</mo>
<mn>1</mn>
</mrow>
<mrow>
<mi>T</mi>
<mi>r</mi>
<mi>a</mi>
</mrow>
</munderover>
<msub>
<mi>P</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>t</mi>
<mo>,</mo>
<mi>j</mi>
</mrow>
</msub>
<mo>=</mo>
<msub>
<mi>P</mi>
<mrow>
<mi>i</mi>
<mo>,</mo>
<mi>t</mi>
</mrow>
</msub>
</mrow>
Wherein, Tra represents trade variety number；Pi,tRepresent gross capability values of the unit i t-th of period；Pi,t,jRepresent unit
Power generating values of the i in t-th of period, j-th of trade variety.
3. a kind of outer power transmission transaction of consideration, transprovincially transregional interconnection transaction and the unit of security constraint according to claim 1
Combine acquisition methods, it is characterised in that：It is described be not involved in the transaction of outer power transmission unit output constraint representation be：
<mrow>
<msub>
<mi>P</mi>
<mrow>
<msub>
<mi>i</mi>
<mrow>
<mi>n</mi>
<mi>o</mi>
<mi>t</mi>
</mrow>
</msub>
<mo>,</mo>
<mi>t</mi>
<mo>,</mo>
<mi>o</mi>
<mi>u</mi>
<mi>t</mi>
</mrow>
</msub>
<mo>=</mo>
<mn>0</mn>
</mrow>
Wherein, inotRepresent to be not involved in the unit that outer power transmission is merchandised.
4. a kind of outer power transmission transaction of consideration, transprovincially transregional interconnection transaction and the unit of security constraint according to claim 1
Combine acquisition methods, it is characterised in that：It is described be not involved in transregional interconnection transaction transprovincially unit output constraint representation be：
<mrow>
<msub>
<mi>P</mi>
<mrow>
<msub>
<mi>i</mi>
<mrow>
<mi>n</mi>
<mi>o</mi>
<mi>t</mi>
</mrow>
</msub>
<mo>,</mo>
<mi>t</mi>
<mo>,</mo>
<mi>c</mi>
<mi>o</mi>
<mi>n</mi>
<mi>t</mi>
</mrow>
</msub>
<mo>=</mo>
<mn>0</mn>
</mrow>
Wherein, inotRepresent to be not involved in the unit of transregional interconnection transaction transprovincially.
5. a kind of outer power transmission transaction of consideration, transprovincially transregional interconnection transaction and the unit of security constraint according to claim 1
Combine acquisition methods, it is characterised in that：The constraints of the Optimized model further includes the constraint of unit output bound, unit most
Small continuous start-off time constraints, the power-balance constraint of system, the constraint of the spare capacity of system and circuit transmission line capability about
Beam.
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| JP2004112868A (en) * | 2002-09-13 | 2004-04-08 | Toshiba Corp | Power control system and electric power control method |
| CN103337039A (en) * | 2013-04-28 | 2013-10-02 | 国家电网公司 | Multi-target multi-constrained medium and long term power purchase decision-making method |
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| CN103617552A (en) * | 2013-11-22 | 2014-03-05 | 冶金自动化研究设计院 | Power generation cost optimization method for iron and steel enterprise |
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| JP2004112868A (en) * | 2002-09-13 | 2004-04-08 | Toshiba Corp | Power control system and electric power control method |
| CN103337039A (en) * | 2013-04-28 | 2013-10-02 | 国家电网公司 | Multi-target multi-constrained medium and long term power purchase decision-making method |
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