CN109284878A - A kind of multi-source Optimization Scheduling for considering wind-powered electricity generation, nuclear power, water-storage and coordinating - Google Patents
A kind of multi-source Optimization Scheduling for considering wind-powered electricity generation, nuclear power, water-storage and coordinating Download PDFInfo
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Abstract
The present invention relates to Economic Dispatch technologies, the multi-source Optimization Scheduling coordinated more particularly to a kind of consideration wind-powered electricity generation, nuclear power, water-storage, include: step 1 meter and abandonment cost and nuclear power peak regulation cost, constructs the wind core coordinated scheduling Optimized model containing multiple power sources；Step 2 solves scheduling model based on Cplex, and formulate operation plan using the method linearisation nuclear power peak regulation constraint of subdivision nuclear power peak regulation depth.The dispatching method passes through meter and abandonment cost and nuclear power peak regulation cost, wind-powered electricity generation and nuclear power are included in coordinated scheduling scope, coastal area peak load regulation network pressure can greatly be alleviated, reduce the frequent start-stop of conventional power unit, coastal area is promoted and contain wind-powered electricity generation and nuclear power Operation of Electric Systems economy.Nuclear power peak regulation constrained procedure is linearized by subdivision nuclear power peak regulation depth, realize the linearisation of nuclear power peaking operation constraint, to which scheduling model can be based on business optimization solver Cplex Efficient Solution, the scheduling scheme of accurate optimization is obtained, helps to reduce system operation cost.
Description
Technical field
The invention belongs to Economic Dispatch technical field more particularly to a kind of consideration wind-powered electricity generations, nuclear power, water-storage
The multi-source Optimization Scheduling of coordination.
Background technique
With the lasting increase of coastal area load peak-valley difference and the construction of land wind-powered electricity generation, offshore wind farm and nuclear power projects
Development, by the peak regulation pressure of serious aggravation coastal area power grid.Especially because the anti-tune peak character that wind-powered electricity generation may be presented, can compel
Make conventional power unit frequent start-stop, do not meet rational dispatching by power grids principle, and leads to serious abandonment.Wind-powered electricity generation and core are contained to coastal area
Electric electric system, research considers that nuclear power participates in peak regulation, and dispatches with wind-powered electricity generation, pneumoelectric, coal electricity and pumped storage unit cooperative, transports to power grid
Ji of passing through and promotion wind electricity digestion are of great significance.
Economic load dispatching for coastal area containing wind-powered electricity generation and nuclear power electric system is related to scheduling model foundation and solution side
Method.Wherein, the key that scheduling model is established is nuclear power scheduling model, need to count and its add peak regulation cost, and consideration and wind-powered electricity generation
Coordinated scheduling；On method for solving, since scheduling model is non-linear mixed 0-1 integer programming problem, inearized model is also needed
Objective function and operation constraint condition.For scheduling model, there is research by additional fuel cost and safety caused by nuclear power peak regulation
Cost comprehensive is peak regulation cost, establishes thermoelectricity-nuclear power-water-storage combined operating Optimal Operation Model with this, but do not consider with
The coordinated scheduling of wind-powered electricity generation；For method for solving, the linearisation of nuclear power operation constraint is essentially consisted in, has research to nuclear power using fixation
Shelves peak regulation depth, and based on this linearisation description nuclear power power output, realize the solution of scheduling model, but nuclear power fixed gear peak regulation depth
It is unable to accurate optimization nuclear power power output, there is certain influence on performance driving economy.
Summary of the invention
The object of the present invention is to provide one kind using economic load dispatching as principle, and meter and abandonment cost and nuclear power peak regulation cost are built
The vertical wind core coordinated scheduling Optimized model containing multiple power sources, and the method for subdivision nuclear power peak regulation depth is proposed to linearize nuclear power tune
The adjustment method of peak constraint.
To achieve the above object, the technical solution adopted by the present invention is that: a kind of consideration wind-powered electricity generation, nuclear power, water-storage are coordinated
Multi-source Optimization Scheduling, comprising the following steps:
Step 1, meter and abandonment cost and nuclear power peak regulation cost construct the wind core coordinated scheduling containing multiple power sources and optimize mould
Type；
Step 2, the method linearisation nuclear power peak regulation constraint using subdivision nuclear power peak regulation depth, solve scheduling based on Cplex
Model, and formulate operation plan.
In the multi-source Optimization Scheduling that discussed above wind-powered electricity generation, nuclear power, water-storage are coordinated, the realization packet of step 1
Include following sub-step:
Step 1.1, nuclear power unit participate in the processing of day peak regulation；For more peak regulation nuclear power units
Consider its week, day peak regulation number limitation in year and runtime, carries out day peak regulation in turn in regulating units actual motion；To guarantee more
Macrocyclic day peak regulation count constraint, and the peak regulation adhered to separately between different interests body nuclear power unit abandon electric rate equilibrium, by all peak regulations
Nuclear power unit is equivalent to a peak regulation nuclear power unitAnd scheduling power output a few days ago is optimized with this；Meter and nuclear power peak regulation cost, etc.
Effect nuclear power unit operating cost may be expressed as:
In formula:Respectively equivalent nuclear power unitOperating cost constant term and nuclear fuel cost coefficient；Respectively nuclear power scheduling power output and nominal output；pNFor nuclear power peak regulation cost coefficient；
Equivalent nuclear power unitFor more nuclear power unitsPolymerization；WithNuclear fuel cost coefficient it is identical,
Operating cost constant term and nominal output be thenIt is cumulative:
In formula: nNFor nuclear power unit quantity；The operating cost constant term of respectively i-th nuclear power unit and specified
Power output；
Step 1.2, using economic load dispatching as principle, meter and abandonment cost and nuclear power peak regulation cost establish coal electricity, pneumoelectric, core
Electricity, wind-powered electricity generation, water-storage multi-source coordinative dispatching model；
Multi-source coordinative dispatching model objective function are as follows:
C=CT+CCC+CW+CN+CPS
In formula: CT、CCC、CN、CPSRespectively fired power generating unit, gas-steam combined cycle set, nuclear power unit and the storage that draws water
Energy unit operating cost, CWFor wind-powered electricity generation abandonment cost, calculation is as follows:
CW=pW,onΔEW,on+pW,offΔEW,off
In formula: pW,on、pW,offRespectively land wind-powered electricity generation and offshore wind farm abandonment cost coefficient；ΔEW,on、ΔEW,offRespectively
Electricity is abandoned for wind-powered electricity generation on the dispatching cycle of inland and offshore wind farm；
Abandonment electricity can be calculated by following formula:
In formula: nW,onFor land wind-powered electricity generation number,Respectively i-th land wind power plant prediction power output and
Scheduling power output；nW,offFor offshore wind farm number,Respectively i-th of marine wind electric field prediction power output and tune
Degree power output.
In the multi-source Optimization Scheduling that discussed above wind-powered electricity generation, nuclear power, water-storage are coordinated, the realization packet of step 2
Include following sub-step:
Step 2.1, the method linearisation nuclear power peak regulation constraint using subdivision nuclear power peak regulation depth；Assuming that by Nuclear Safety tune
Peak depth bounds are divided into ndShelves, then m grades of peak regulation depth are as follows:
In formula:For the permitted minimum load of equivalent nuclear power unit；
The nuclear power power of lower power stage are as follows:
Under normal circumstances, nuclear power unit lifting/lowering Power x Time be 1~3h, thus have under every grade of peak regulation depth 3 rise/
Reduced power state: qm,1、qm,2、qm,3, corresponding nuclear power power are as follows:
In formula: j is the state number of lifting/lowering power；
Then nuclear power power linear indicates are as follows:
In formula: htFor nuclear power unit t moment rated power operation mark；lm,tIt is nuclear power unit in m grades of peak regulation depth, t
The low power run mark at moment；qm,j,tFor nuclear power unit m grades of peak regulation depth, j-th of state, t moment lifting power
Running mark；
Step 2.2 is based on Cplex and solves scheduling model, and formulates operation plan；
The coal electricity of nuclear power peak regulation is considered based on business optimization solver Cplex Efficient Solution, pneumoelectric, nuclear power, wind-powered electricity generation, is drawn water
Accumulation of energy multi-source coordinative dispatching model；If optimizing scheduling result requires nuclear power to participate in peak regulation a few days ago, the proximal segment time is being comprehensively considered
On the basis of interior each nuclear power unit participates in day peak regulation situation, the nuclear power unit of peak regulation is carried out the next day specified by management and running personnel, and
According to equivalent nuclear power unitGenerating optimization is as a result, determine the operation plan a few days ago of specified peak regulation nuclear power unit a few days ago；If day
Preceding optimizing scheduling result participates in peak regulation without nuclear power, then not specified nuclear power unit participates in peak regulation；For non-nuclear power unit, no matter core
Electricity whether peak regulation, power output arrange take optimizing scheduling result a few days ago.
In the multi-source Optimization Scheduling that discussed above wind-powered electricity generation, nuclear power, water-storage are coordinated, core described in step 1.1
Electric peak regulation cost coefficient considers additional fuel cost and safety cost caused by peak regulation, may be expressed as:
pN=pN,f+σpN,s
In formula: pN,fFor peak regulation fuel cost coefficient；pN,sFor peak regulation safety cost coefficient；σ is Nuclear Safety value coefficient,
For balancing the safety of nuclear power peak regulation and economy.
In the multi-source Optimization Scheduling that discussed above wind-powered electricity generation, nuclear power, water-storage are coordinated, fire described in step 1.2
Motor group, gas-steam combined cycle set operating cost calculation are as follows:
1) thermal power unit operation cost includes coal-fired cost and start-up and shut-down costs, is indicated are as follows:
In formula: nTFor fired power generating unit quantity；For 0-1 variable, characterize fired power generating unit i indicates in t period operating status, 1
Operation, 0 indicates to shut down；For coal-fired cost coefficient；It contributes for fired power generating unit i in the t period；For unit
Start-up and shut-down costs；
Fired power generating unit start-up and shut-down costs:
In formula:For 0-1 variable, when fired power generating unit i is when being changed into operating status by shutdown status the t period,It takes
1, otherwise take 0；For 0-1 variable, when unit i is when being changed into shutdown status by operating status the t period, 1 is taken, otherwise takes 0；Primary expense is shut down in respectively fired power generating unit i starting；
2) gas-steam combined cycle set operating cost includes combustion gas cost and mode conversion cost, is indicated are as follows:
In formula: nCCFor combined cycle unit quantity；MCCFor combined cycle unit all mode set,For under y mode
Reversible set of modes；For 0-1 variable, characterizing unit i in t period y mode operation conditions, 1 indicates operation, and 0 indicates to stop
Machine；For combustion gas cost coefficient under y mode；The minimum technology for being unit i at mode y power output,For machine
Group i is higher than under t period y modePower output；The conversion cost of mode z is converted to by mode y for unit；For 0-
1 variable, characterization unit i are converted to z mode by y mode in the t period, and 1 indicates transformation, and 0 indicates not change；
3) multi-source coordinative dispatching model constraint condition are as follows:
(1) system restriction；
Power-balance constraint:
In formula:It contributes for pumped storage unit i in the t period,It contributes for combined cycle unit i in the t period, Pt LTo be
System t moment load；
Wherein,
Spare capacity constraint:
In formula: the 1st is system positive rotation Reserve Constraint, the 2nd spinning reserve constraint that is negative；Ru,t、Rd,tRespectively it is
It unites in the positive and negative spinning reserve capacity of t period；Lu%, Wu,on%, Wu,off% is respectively load, land wind-powered electricity generation and offshore wind farm
Required positive rotation reserve factor；Ld%, Wd,on%, Wd,off% is respectively to bear needed for load, land wind-powered electricity generation and offshore wind farm
Spinning reserve coefficient；Respectively fired power generating unit i is maximum, minimum technology is contributed；Respectively fired power generating unit i
Raising and lowering creep speed；T10For the spinning reserve response time, 10min is taken herein；Respectively combined cycle
Maximum, minimum technology power output of the unit i under y mode；Respectively rising of the combined cycle unit i under y mode
With decline creep speed；Respectively pumped storage unit maximum power generation and the fixed power that draws water；Abandonment power is made
Be positive spinning reserve capacity；
(2) unit operation constraint；
Thermal power unit operation constraint:
In formula: being followed successively by fired power generating unit units limits, ramping rate constraints and minimum start-off time constraints；
Respectively unit i minimum runing time and minimum downtime；
Wind power output constraint:
Gas-steam combined cycle set operation constraint:
In formula: being followed successively by combined cycle unit units limits, ramping rate constraints and minimum start-off time constraints；Respectively upper and lower creep speed is converted between unit mode；It is minimum respectively under unit y mode
Runing time and minimum downtime；
Pump-storage generator operation constraint:
In formula: being followed successively by pumped storage unit generation power constraint, the constraint of upper and lower storage capacity and take out generated energy constraint day；For 0-1
Variable characterizes pumped storage unit generation state, is 1 when power generation, is otherwise 0；It contributes for the power generation dispatching of pumped storage unit i,For its upper and lower limit；Vu,tFor upper storage reservoir t moment storage capacity,VuFor its upper and lower limit；Vd,tFor lower storage reservoir t moment library
Hold,VdFor its upper and lower limit；ηiFor unit efficiency；For 0-1 variable, characterizes pumped storage unit and draws water state, be 1 when drawing water,
It otherwise is 0.
In the multi-source Optimization Scheduling that discussed above wind-powered electricity generation, nuclear power, water-storage are coordinated, transported described in step 2.1
Line flag meets constraint:
Linearize nuclear power unit rated power, low power run time-constrain are as follows:
In formula:Respectively nuclear power unit full power minimum continuous working period and low-power minimum continuous service
Time；
Running mark coupling constraint when lifting/lowering power is 2h:
Running mark coupling constraint when lifting/lowering power is 3h:
Beneficial effects of the present invention: this dispatching method meter and abandonment cost and nuclear power peak regulation cost receive wind-powered electricity generation and nuclear power
Enter coordinated scheduling scope, can greatly alleviate coastal area peak load regulation network pressure, reduce the frequent start-stop of conventional power unit, to be promoted
Coastal area contains wind-powered electricity generation and nuclear power Operation of Electric Systems economy.What is proposed linearizes nuclear power by subdivision nuclear power peak regulation depth
Peak regulation constrained procedure, it can be achieved that nuclear power peaking operation constraint linearisation, so that scheduling model can be based on business optimization solver
Cplex Efficient Solution obtains the scheduling scheme of accurate optimization, to realize to the accurate optimization of nuclear power peak regulation, improves system
Performance driving economy, and reduce abandonment, help to reduce system operation cost.
Detailed description of the invention
Fig. 1 is the general flow chart of one embodiment of the invention multi-source coordinated scheduling method；
Fig. 2 is nuclear power power and status diagram under m grades of peak regulation depth of one embodiment of the invention；
Fig. 3 is one embodiment of the invention marine wind electric field short-term forecast capability diagram a few days ago；
Fig. 4 is one embodiment of the invention daily load curve；
Fig. 5 is that one embodiment of the invention conventional power unit undertakes power output；
Fig. 6 is that one embodiment of the invention nuclear power and wind-powered electricity generation always abandon electric peak regulation power；
Fig. 7 is the nuclear power unit power output under 4 kinds of peak regulation modes of one embodiment of the invention；
Fig. 8 is one embodiment of the invention total operating cost and nuclear power peak regulation change in depth.
Specific embodiment
Embodiments of the present invention are described in detail with reference to the accompanying drawing.
Using economic load dispatching as principle, meter and abandonment cost and nuclear power peak regulation cost are established containing multiple power sources the present embodiment
Wind core coordinated scheduling Optimized model, and propose subdivision nuclear power peak regulation depth method come linearize nuclear power peak regulation constraint.This reality
The method for applying example can realize the accurate optimization to nuclear power peaking operation, model built can lifting system performance driving economy, and reduce
Abandonment.
One, firstly, introducing the principle of the present embodiment method:
A kind of multi-source Optimization Scheduling for considering wind-powered electricity generation, nuclear power, water-storage and coordinating of the present embodiment, main-process stream is as schemed
Shown in 1, comprising the following steps:
Step 1: meter and abandonment cost and nuclear power peak regulation cost, construct the wind core coordinated scheduling containing multiple power sources and optimize mould
Type.It is as follows in detail:
1.1, nuclear power unit participates in the processing of day peak regulation.For more peak regulation nuclear power unitsBy
Day peak regulation number limits in Yu Qizhou, year and runtime, carries out day peak regulation in turn in regulating units actual motion.It is longer to guarantee
The day peak regulation count constraint in period, and adhere to peak regulation between different interests body nuclear power unit separately to abandon electric rate balanced, the present embodiment is by institute
There is peak regulation nuclear power unit to be equivalent to a peak regulation nuclear power unitAnd scheduling power output a few days ago is optimized with this.
Meter and peak regulation cost, equivalent nuclear power unit operating cost may be expressed as:
In formula:Respectively equivalent nuclear power unitOperating cost constant term and nuclear fuel cost coefficient； Respectively nuclear power scheduling power output and nominal output；pNFor nuclear power peak regulation cost coefficient.
Equivalent nuclear power unitBy more nuclear power unitsIt is polymerized.WithNuclear fuel cost coefficient it is identical,Operating cost constant term and nominal output be thenIt is cumulative:
In formula: nNFor nuclear power unit quantity；The operating cost constant term and volume of respectively i-th nuclear power unit
Make power.
Nuclear power peak regulation cost coefficient combines additional fuel cost and safety cost caused by peak regulation, may be expressed as:
pN=pN,f+σpN,s
In formula: pN,fFor peak regulation fuel cost coefficient；pN,sFor peak regulation safety cost coefficient；σ is Nuclear Safety value coefficient,
For balancing the safety of nuclear power peak regulation and economy.
1.2 using economic load dispatching as principle, and meter and abandonment cost and nuclear power peak regulation cost establish coal electric-gas electricity-nuclear power-wind
Electricity-water-storage multi-source coordinative dispatching model.
Multi-source coordinative dispatching model objective function is as follows:
C=CT+CCC+CW+CN+CPS
In formula: CT、CCC、CN、CPSRespectively fired power generating unit, gas-steam combined cycle set, nuclear power unit and the storage that draws water
Energy unit operating cost, CWFor wind-powered electricity generation abandonment cost.
I. thermal power unit operation cost.
Thermal power unit operation cost includes coal-fired cost and start-up and shut-down costs, be may be expressed as:
In formula: nTFor fired power generating unit quantity；For 0-1 variable, fired power generating unit i is characterized in t period operating status, 1 table fortune
Row, 0 table are shut down；For coal-fired cost coefficient；It contributes for fired power generating unit i in the t period；For Unit Commitment
Cost.
Fired power generating unit start-up and shut-down costs:
In formula:For 0-1 variable, when fired power generating unit i is when being changed into operating status by shutdown status the t period,1 is taken,
Otherwise 0 is taken；For 0-1 variable, when unit i is when being changed into shutdown status by operating status the t period, 1 is taken, otherwise takes 0；Primary expense is shut down in respectively fired power generating unit i starting.
II. gas-steam combined cycle set operating cost.
Gas-steam combined cycle set operating cost includes combustion gas cost and mode conversion cost, be may be expressed as:
In formula: nCCFor combined cycle unit quantity；MCCFor combined cycle unit all mode set,For under y mode
Reversible set of modes；For 0-1 variable, unit i is characterized in t period y mode operation conditions, the operation of 1 table, the shutdown of 0 table；For combustion gas cost coefficient under y mode；The minimum technology for being unit i at mode y power output,For unit i
It is higher than under t period y modePower output；The conversion cost of mode z is converted to by mode y for unit；For 0-1 change
Amount, characterization unit i are converted to z mode, the transformation of 1 table by y mode in the t period, and 0 table does not change.
III. wind-powered electricity generation abandonment cost.
Wind-powered electricity generation abandonment cost calculation mode is as follows:
CW=pW,onΔEW,on+pW,offΔEW,off
In formula: pW,on、pW,offRespectively land wind-powered electricity generation and offshore wind farm abandonment cost coefficient；ΔEW,on、ΔEW,offTo adjust
It spends wind-powered electricity generation and offshore wind farm on period inland and abandons electricity.
Abandonment electricity can be calculated by following formula:
In formula: nW,onFor land wind-powered electricity generation number,Respectively i-th land wind power plant prediction power output and
Scheduling power output；nW,offFor offshore wind farm number,Respectively i-th of marine wind electric field prediction power output and tune
Degree power output.
IV. nuclear power operating cost.
It is detailed in 1.1.
Multi-source coordinative dispatching model constraint condition is as follows:
I) system restriction.
A. power-balance constraint:
In formula:It contributes for pumped storage unit i in the t period,It contributes for combined cycle unit i in the t period, Pt LTo be
System t moment load.
Wherein,
B. spare capacity constrains:
In formula: the 1st is system positive rotation Reserve Constraint, the 2nd spinning reserve constraint that is negative.Ru,t、Rd,tRespectively it is
It unites in the positive and negative spinning reserve capacity of t period；Lu%, Wu,on%, Wu,off% is respectively load, land wind-powered electricity generation and offshore wind farm
Required positive rotation reserve factor；Ld%, Wd,on%, Wd,off% is respectively to bear needed for load, land wind-powered electricity generation and offshore wind farm
Spinning reserve coefficient；Respectively fired power generating unit i is maximum, minimum technology is contributed；Respectively fired power generating unit i
Raising and lowering creep speed；T10For the spinning reserve response time, 10min is taken herein；Respectively combined cycle
Maximum, minimum technology power output of the unit i under y mode；Respectively combined cycle unit i is upper under y mode
Rise and decline creep speed；Respectively pumped storage unit maximum power generation and the fixed power that draws water.It should be noted that
Considerations above is using abandonment power as positive rotation spare capacity.
Ii) unit operation constraint.
A. thermal power unit operation constrains:
In formula: being followed successively by fired power generating unit units limits, ramping rate constraints and minimum start-off time constraints. Point
It Wei not unit i minimum runing time and minimum downtime.
B. wind power output constrains:
C. gas-steam combined cycle set operation constraint:
In formula: being followed successively by combined cycle unit units limits, ramping rate constraints and minimum start-off time constraints.Respectively upper and lower creep speed is converted between unit mode；It is minimum respectively under unit y mode
Runing time and minimum downtime.
D. nuclear power unit operation constraint:
Since nuclear power units limits are non-linear, do not arrange herein and write nuclear power unit operation constraint, can refer to 2.1 contents in detail.
E. pump-storage generator operation constraint:
In formula: being followed successively by pumped storage unit generation power constraint, the constraint of upper and lower storage capacity and take out generated energy constraint day.For 0-1
Variable characterizes pumped storage unit generation state, is 1 when power generation, is otherwise 0；It contributes for the power generation dispatching of pumped storage unit i,For its upper and lower limit；Vu,tFor upper storage reservoir t moment storage capacity,VuFor its upper and lower limit；Vd,tFor lower storage reservoir t moment library
Hold,VdFor its upper and lower limit；ηiFor unit efficiency；For 0-1 variable, characterizes pumped storage unit and draws water state, be 1 when drawing water,
It otherwise is 0.
Step 2: solving scheduling based on Cplex using the method linearisation nuclear power peak regulation constraint of subdivision nuclear power peak regulation depth
Model, and formulate operation plan.
2.1 are constrained using the method linearisation nuclear power peak regulation of subdivision nuclear power peak regulation depth.Assuming that Nuclear Safety peak regulation is deep
Degree range is divided into ndShelves, then m grades of peak regulation depth are as follows:
In formula:For the permitted minimum load of equivalent nuclear power unit.
As shown in Fig. 2, for each power phase of nuclear power and state under m grades of peak regulation depth, the nuclear power power of lower power stage
Are as follows:
Under normal circumstances, nuclear power unit lifting/lowering Power x Time be 1~3h, thus have under every grade of peak regulation depth 3 rise/
Reduced power state: qm,1、qm,2、qm,3, corresponding nuclear power power are as follows:
In formula: j is the state number of lifting/lowering power.
Then nuclear power power can linear expression are as follows:
In formula: htFor nuclear power unit t moment rated power operation mark；lm,tIt is nuclear power unit in m grades of peak regulation depth, t
The low power run mark at moment；qm,j,tFor nuclear power unit m grades of peak regulation depth, j-th of state, t moment lifting power
Running mark.
Running mark meets constraint:
Similar fired power generating unit, linearizes nuclear power unit rated power, low power run time-constrain are as follows:
In formula:Respectively nuclear power unit full power minimum continuous working period and low-power minimum continuous service
Time.
Lifting/lowering power phase, running mark there is also time coupling constraint [.Running mark couples when lifting/lowering power is 2h
Constraint:
Running mark coupling constraint when lifting/lowering power is 3h:
2.2 solve scheduling model based on Cplex, and formulate operation plan.
Consider that coal electric-gas electricity-nuclear power-wind-powered electricity generation-of nuclear power peak regulation draws water based on business optimization solver Cplex Efficient Solution
Accumulation of energy multi-source coordinative dispatching model.If optimizing scheduling result requires nuclear power to participate in peak regulation a few days ago, the proximal segment time is being comprehensively considered
On the basis of interior each nuclear power unit participates in day peak regulation situation, the nuclear power unit of peak regulation is carried out the next day specified by management and running personnel, and
According to equivalent nuclear power unitGenerating optimization is as a result, determine the operation plan a few days ago of specified peak regulation nuclear power unit a few days ago；If day
Preceding optimizing scheduling result participates in peak regulation without nuclear power, then not specified nuclear power unit participates in peak regulation.For non-nuclear power unit, no matter core
Electricity whether peak regulation, power output arrange take optimizing scheduling result a few days ago.
The following are a specific embodiments:
It constructs example and carries out simulation analysis, system basic condition are as follows: 28 fossil-fired units, install 7785MW；2 combustions
Gas-Steam Combined Cycle unit, install 480MW；1 land wind power plant, 1 marine wind electric field, installation 1000MW；3 cores
Motor group, install 2800MW；3 pump-storage generators, install 900MW.Unit relevant parameter such as table 1 is to table 4.
1 fired power generating unit parameter of table
2 gas-steam combined cycle set parameter of table
3 pump-storage generator parameter of table
4 nuclear power unit parameter of table
As shown in figure 3, contributing for marine wind electric field short-term forecast a few days ago, as shown in figure 4, for coastal certain province's summer typical day
Load curve.To simplify the process, it is assumed that land output of wind electric field and offshore wind farm field synchronization, and unit installation power output is sea turn
0.9 times of electric field.With reference to international renewable energy source mechanism statistics and wind-powered electricity generation online stake electrovalence, land wind-powered electricity generation abandonment is chosen
342 yuan of cost/(MWh), 510 yuan of offshore wind farm abandonment cost/(MWh)；Nuclear Safety value coefficient σ takes 1.5, and nuclear power is most
Big peak regulation depth is 70%Peak regulation depth is subdivided into 100 grades；Load reserve factor Lu%, Ld% takes 5%, and wind-powered electricity generation is spare
Coefficient Wu,on%, Wu,off%, Wd,on%, Wd,off% takes 15%.
For the economy for analyzing mentioned scheduling model, following 4 kinds of scheduling models are set, simulation comparison is carried out based on scene 3.
1) model 1.Nuclear power band basic load operation, and do not allow abandonment.
2) model 2.Nuclear power band basic load operation, and allow abandonment.
3) model 3.Nuclear power can be with daily load tracing mode peak regulation, and does not allow abandonment.
4) model 4.Nuclear power can be with daily load tracing mode peak regulation, and allows abandonment, namely mentioned scheduling model herein.
Except the above is distinguished, the objective function and remaining related constraint of 4 kinds of scheduling models are all the same, obtained optimization knot
Fruit is as shown in table 5 and Fig. 5, Fig. 6.
54 kinds of scheduling model optimum results of table
1) contrast model 1, model 2 and 3 optimum results of model will lead to it is found that if system dissolves wind-powered electricity generation and nuclear power completely
Conventional power unit frequent start-stop causes high switching cost, keeps the total operating cost in dispatching cycle soaring.And as shown in figure 5,
As wind-powered electricity generation/nuclear power participates in peak regulation, conventional power unit peak regulation pressure is reduced, the frequent start-stop of conventional power unit is avoided, thus greatly
Amplitude reduction start-up and shut-down costs, make total operating cost decline 32.6 ten thousand yuan, 87.58 ten thousand yuan respectively, improve performance driving economy.This
Outside, since unit quantity of electricity abandonment is at high cost, model 2 is caused to abandon the significantly high model 3 out of electric cost, thus abandonment should be avoided as far as possible.
2) contrast model 2, model 3 and 4 optimum results of model are it is found that performance driving economy: 4 > model of model, 3 > model 2.Knot
Fig. 6 analysis is closed, model 2 has the characteristics that abandonment peak regulation is flexible, but abandonment is at high cost；3 nuclear power peak regulation of model is pacified by self-operating
Staff cultivation, lower power stage power output need to be kept constant, but the opposite advantage for having abandoning core at low cost；4 wind core of model coordinates peak regulation
It combines 2 abandonment peak regulation of model flexibly and model 3 abandons core the two advantage at low cost, pass through nuclear power peak regulation and a small amount of abandonment, lifting
Conventional power unit is contributed in the load valley period, realizes zero start and stop of fired power generating unit and gas-steam combined cycle set, from
And further improve performance driving economy.
As it can be seen that wind, core peak regulation reduce conventional power unit peak regulation pressure, the frequent start-stop of conventional power unit, and wind core are avoided
Coordinated scheduling can take into account peak regulation flexibility and peak regulation cost, improve the scheduling economy containing wind-powered electricity generation and nuclear power system, and make to abandon
Wind is reduced.
It should be noted that due to abandoning electric cost coefficient offshore wind farm > land wind-powered electricity generation > nuclear power, thus wind core coordinated scheduling master
Peak regulation is undertaken by nuclear power, land wind-powered electricity generation undertakes seldom, and offshore wind farm does not undertake.Abandon electric peak regulation can make each dom income by
Damage, thus also need to formulate reasonable peak regulation compensation mechanism, to realize the balance of interest between each dom.
Influence for analysis nuclear power day peak regulation mode to scheduling optimum results, the following 4 kinds of nuclear power days peak regulation mode of setting into
Row simulation comparison.
1) mode 1, nuclear power unit band basic load operation, is not involved in daily load peak regulation.
2) mode 2, nuclear power unit participate in a day peak regulation (in a few days power invariability, but discontented hair) using extrusion pressure 100MW mode.
3) mode 3, nuclear power unit carry out daily load tracking using 3 grades of fixed peak regulation depth (30%, 50%, 70%) and adjust
Peak.
4) mode 4, the used mode of the present embodiment realize the accurate excellent of nuclear power peak regulation by segmenting nuclear power peak regulation depth
Change.
If nuclear power peak regulation, it is assumed that 2 900MW nuclear power units have participated in a day peak regulation in the recent period, now specified 1000MW nuclear power machine
Group is regulating units.The results are shown in Table 6 for the optimizing scheduling obtained based on scene 3, and peak regulation nuclear power unit power output is as shown in Figure 7.
Optimizing scheduling result under 64 kinds of table nuclear power day peak regulation mode
As shown in Table 6, mode 1 can cause a large amount of abandonments, and conventional power unit start and stop related frequency, cause high operation
Cost.Though mode 2 reduces abandonment electricity, does not reduce and abandons electric cost, and combined cycle unit start-stop time is caused to increase,
Increase total operating cost instead.Mode 3 and mode 4 drastically reduce abandonment electricity, reduce the electric cost of abandoning, and mode
4 are not necessarily to fired power generating unit and combined cycle unit start and stop peak regulation, thus total operating cost is minimum.
It is analyzed in conjunction with Fig. 7, the operation of 2 nuclear power unit extrusion pressure of mode, though downward peak regulation pressure is alleviated in the load valley period
Power, but since daily load variation cannot be tracked, the upward peak regulation pressure of load peak period is also increased, so that combined cycle machine
Group start-stop time increases, and reduces performance driving economy.3 nuclear power of mode goes out the variation of force tracking daily load, avoids 2 defect of mode,
Operating cost is thus reduced, but due to using fixed gear nuclear power peak regulation depth, is unable to accurate optimization nuclear power lower power stage and goes out
Power easily causes nuclear power " less stress " or " toning ", thus performance driving economy is not so good as mode 4.
As it can be seen that nuclear power unit participates in day peak regulation using daily load tracing mode, and to nuclear power peak regulation depth accurate optimization, it can
Total operating cost is effectively reduced.
Influence of the degree to optimum results is segmented further to analyze nuclear power peak regulation depth, by incrementally increasing nuclear power peak regulation
Gear number, obtains total operating cost and nuclear power peak regulation change in depth is as shown in Figure 8.
As it can be seen that with the increase of nuclear power peak regulation gear number, nuclear power peak regulation depth is gradually modified to 20.30% by 21.00%, and
The limits of error is contracted to ± 0.7%, and totally approach is optimal for system operation cost.This is because the fixation peak regulation depth of subdivision constantly becomes
Nearly optimal peak regulation depth, thus so that system economy is totally become excellent, and due to the continuous diminution of nuclear power peak regulation depth error, it is total to transport
The amplitude of variation of row cost also can be smaller and smaller.When gear number is 100, peak regulation depth error is limited to ± 0.7%, has approached nuclear power
Any peak regulation depth in safe range, and opposite 80 grades of optimum results, operating cost only change 0.06 ten thousand yuan, relative change rate is small
In 0.01%, thus it is believed that the accurate optimization for realizing nuclear power peak regulation.
It should be understood that the part that this specification does not elaborate belongs to the prior art.
Although being described in conjunction with the accompanying a specific embodiment of the invention above, those of ordinary skill in the art should
Understand, these are merely examples, various deformation or modification can be made to these embodiments, without departing from original of the invention
Reason and essence.The scope of the present invention is only limited by the claims that follow.
Claims (6)
1. a kind of multi-source Optimization Scheduling for considering wind-powered electricity generation, nuclear power, water-storage and coordinating, characterized in that the following steps are included:
Step 1, meter and abandonment cost and nuclear power peak regulation cost, construct the wind core coordinated scheduling Optimized model containing multiple power sources；
Step 2, the method linearisation nuclear power peak regulation constraint using subdivision nuclear power peak regulation depth, solve scheduling model based on Cplex,
And formulate operation plan.
2. considering the multi-source Optimization Scheduling that wind-powered electricity generation, nuclear power, water-storage are coordinated as described in claim 1, characterized in that
The realization of step 1 includes following sub-step:
Step 1.1, nuclear power unit participate in the processing of day peak regulation；For more peak regulation nuclear power units Consider
Day peak regulation number limits in its week, year and runtime, carries out day peak regulation in turn in regulating units actual motion；To guarantee longer week
The day peak regulation count constraint of phase, and the peak regulation adhered to separately between different interests body nuclear power unit abandon electric rate equilibrium, by all peak regulation nuclear powers
Unit is equivalent to a peak regulation nuclear power unitAnd scheduling power output a few days ago is optimized with this；Meter and nuclear power peak regulation cost, equivalent nuclei
Motor group operating cost may be expressed as:
In formula:Respectively equivalent nuclear power unitOperating cost constant term and nuclear fuel cost coefficient；
Respectively nuclear power scheduling power output and nominal output；pNFor nuclear power peak regulation cost coefficient；
Equivalent nuclear power unitFor more nuclear power unitsPolymerization；WithNuclear fuel cost coefficient it is identical,Fortune
Row cost constant term and nominal output are thenIt is cumulative:
In formula: nNFor nuclear power unit quantity；The operating cost constant term of respectively i-th nuclear power unit and it is specified go out
Power；
Step 1.2, using economic load dispatching as principle, meter and abandonment cost and nuclear power peak regulation cost establish coal electricity, pneumoelectric, nuclear power, wind
Electricity, water-storage multi-source coordinative dispatching model；
Multi-source coordinative dispatching model objective function are as follows:
C=CT+CCC+CW+CN+CPS
In formula: CT、CCC、CN、CPSRespectively fired power generating unit, gas-steam combined cycle set, nuclear power unit and water-storage machine
Group operating cost, CWFor wind-powered electricity generation abandonment cost, calculation is as follows:
CW=pW,onΔEW,on+pW,offΔEW,off
In formula: pW,on、pW,offRespectively land wind-powered electricity generation and offshore wind farm abandonment cost coefficient；ΔEW,on、ΔEW,offRespectively adjust
It spends wind-powered electricity generation and offshore wind farm on period inland and abandons electricity；
Abandonment electricity can be calculated by following formula:
In formula: nW,onFor land wind-powered electricity generation number,Respectively i-th land wind power plant prediction power output and scheduling
Power output；nW,offFor offshore wind farm number,Respectively i-th of marine wind electric field prediction is contributed and is dispatched out
Power.
3. considering the multi-source Optimization Scheduling that wind-powered electricity generation, nuclear power, water-storage are coordinated as described in claim 1, characterized in that
The realization of step 2 includes following sub-step:
Step 2.1, the method linearisation nuclear power peak regulation constraint using subdivision nuclear power peak regulation depth；Assuming that Nuclear Safety peak regulation is deep
Degree range is divided into ndShelves, then m grades of peak regulation depth are as follows:
In formula:For the permitted minimum load of equivalent nuclear power unit；
The nuclear power power of lower power stage are as follows:
Under normal circumstances, nuclear power unit lifting/lowering Power x Time is 1~3h, thus has 3 lifting/lowering function under every grade of peak regulation depth
Rate state: qm,1、qm,2、qm,3, corresponding nuclear power power are as follows:
In formula: j is the state number of lifting/lowering power；
Then nuclear power power linear indicates are as follows:
In formula: htFor nuclear power unit t moment rated power operation mark；lm,tIt is nuclear power unit in m grades of peak regulation depth, t moments
Low power run mark；qm,j,tFor nuclear power unit m grades of peak regulation depth, j-th of state, t moment lifting Power operation
Mark；
Step 2.2 is based on Cplex and solves scheduling model, and formulates operation plan；
Coal electricity, pneumoelectric, nuclear power, the wind-powered electricity generation, water-storage of nuclear power peak regulation are considered based on business optimization solver Cplex Efficient Solution
Multi-source coordinative dispatching model；It is each in the proximal segment time comprehensively considering if optimizing scheduling result requires nuclear power to participate in peak regulation a few days ago
On the basis of nuclear power unit participates in day peak regulation situation, the nuclear power unit of peak regulation, and foundation are carried out the next day specified by management and running personnel
Equivalent nuclear power unitGenerating optimization is as a result, determine the operation plan a few days ago of specified peak regulation nuclear power unit a few days ago；If adjust a few days ago
It spends optimum results and participates in peak regulation without nuclear power, then not specified nuclear power unit participates in peak regulation；For non-nuclear power unit, no matter nuclear power is
No peak regulation, power output arrange to take optimizing scheduling result a few days ago.
4. considering the multi-source Optimization Scheduling that wind-powered electricity generation, nuclear power, water-storage are coordinated as claimed in claim 2, characterized in that
Nuclear power peak regulation cost coefficient described in step 1.1 considers additional fuel cost and safety cost caused by peak regulation, may be expressed as:
pN=pN,f+σpN,s
In formula: pN,fFor peak regulation fuel cost coefficient；pN,sFor peak regulation safety cost coefficient；σ is Nuclear Safety value coefficient, is used for
Balance the safety of nuclear power peak regulation and economy.
5. considering the multi-source Optimization Scheduling that wind-powered electricity generation, nuclear power, water-storage are coordinated as claimed in claim 2, characterized in that
Fired power generating unit described in step 1.2, gas-steam combined cycle set operating cost calculation are as follows:
1) thermal power unit operation cost includes coal-fired cost and start-up and shut-down costs, is indicated are as follows:
In formula: nTFor fired power generating unit quantity；For 0-1 variable, characterizing fired power generating unit i in t period operating status, 1 indicates operation,
0 indicates to shut down；For coal-fired cost coefficient；It contributes for fired power generating unit i in the t period；For Unit Commitment
Cost；
Fired power generating unit start-up and shut-down costs:
In formula:For 0-1 variable, when fired power generating unit i is when being changed into operating status by shutdown status the t period,1 is taken, otherwise
Take 0；For 0-1 variable, when unit i is when being changed into shutdown status by operating status the t period, 1 is taken, otherwise takes 0；Primary expense is shut down in respectively fired power generating unit i starting；
2) gas-steam combined cycle set operating cost includes combustion gas cost and mode conversion cost, is indicated are as follows:
In formula: nCCFor combined cycle unit quantity；MCCFor combined cycle unit all mode set,For that can turn under y mode
The set of modes of change；For 0-1 variable, characterizing unit i in t period y mode operation conditions, 1 indicates operation, and 0 indicates to shut down；For combustion gas cost coefficient under y mode；The minimum technology for being unit i at mode y power output,For unit i
It is higher than under t period y modePower output；The conversion cost of mode z is converted to by mode y for unit；For 0-1 change
Amount, characterization unit i are converted to z mode by y mode in the t period, and 1 indicates transformation, and 0 indicates not change；
3) multi-source coordinative dispatching model constraint condition are as follows:
(1) system restriction；
Power-balance constraint:
In formula:It contributes for pumped storage unit i in the t period,It contributes for combined cycle unit i in the t period, Pt LWhen for system t
Carve load；
Wherein,
Spare capacity constraint:
In formula: the 1st is system positive rotation Reserve Constraint, the 2nd spinning reserve constraint that is negative；Ru,t、Rd,tRespectively system is in t
The positive and negative spinning reserve capacity of period；Lu%, Wu,on%, Wu,off% is respectively needed for load, land wind-powered electricity generation and offshore wind farm
Positive rotation reserve factor；Ld%, Wd,on%, Wd,off% is respectively that negative rotation needed for load, land wind-powered electricity generation and offshore wind farm turns standby
Use coefficient；Respectively fired power generating unit i is maximum, minimum technology is contributed；Respectively fired power generating unit i rise and
Decline creep speed；T10For the spinning reserve response time, 10min is taken herein；Respectively combined cycle unit i exists
Maximum, minimum technology power output under y mode；Respectively raising and lowering of the combined cycle unit i under y mode
Creep speed；Respectively pumped storage unit maximum power generation and the fixed power that draws water；Using abandonment power as dextrorotation
Turn spare capacity；
(2) unit operation constraint；
Thermal power unit operation constraint:
In formula: being followed successively by fired power generating unit units limits, ramping rate constraints and minimum start-off time constraints； Respectively
Unit i minimum runing time and minimum downtime；
Wind power output constraint:
Gas-steam combined cycle set operation constraint:
In formula: being followed successively by combined cycle unit units limits, ramping rate constraints and minimum start-off time constraints；
Respectively upper and lower creep speed is converted between unit mode；Respectively under unit y mode minimum runing time and
Minimum downtime；
Pump-storage generator operation constraint:
In formula: being followed successively by pumped storage unit generation power constraint, the constraint of upper and lower storage capacity and take out generated energy constraint day；For 0-1 variable,
Pumped storage unit generation state is characterized, is 1 when power generation, is otherwise 0；It contributes for the power generation dispatching of pumped storage unit i,For
Its upper and lower limit；Vu,tFor upper storage reservoir t moment storage capacity, V uFor its upper and lower limit；Vd,tFor lower storage reservoir t moment storage capacity, V dFor
Its upper and lower limit；ηiFor unit efficiency；For 0-1 variable, characterizes pumped storage unit and draw water state, be 1 when drawing water, be otherwise 0.
6. considering the multi-source Optimization Scheduling that wind-powered electricity generation, nuclear power, water-storage are coordinated as claimed in claim 3, characterized in that
Running mark described in step 2.1 meets constraint:
Linearize nuclear power unit rated power, low power run time-constrain are as follows:
In formula:Respectively nuclear power unit full power minimum continuous working period and low-power minimum continuous working period；
Running mark coupling constraint when lifting/lowering power is 2h:
Running mark coupling constraint when lifting/lowering power is 3h:
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| CN114050611A (en) * | 2022-01-12 | 2022-02-15 | 清华四川能源互联网研究院 | Operation scheduling linearization modeling method suitable for pumped storage power station with multiple units |
| CN115360771A (en) * | 2022-10-21 | 2022-11-18 | 河海大学 | Optimized scheduling method and device for wind storage power system and computer equipment |
| CN115360771B (en) * | 2022-10-21 | 2022-12-27 | 河海大学 | Optimized scheduling method and device for wind storage power system and computer equipment |
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