CN105720575B - Consider that the electric power system operation standby partition zone optimizing method with profile constraints is supported in section - Google Patents
Consider that the electric power system operation standby partition zone optimizing method with profile constraints is supported in section Download PDFInfo
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Abstract
Consider that the electric power system operation standby partition zone optimizing method with profile constraints is supported in section the invention discloses a kind of.This method determines the spare type and demand of required optimization first, subregion is carried out to power network and zonal reserve requirement is converted into system integrally standby requirement, equivalent process is made in the electric power to external electrical network and standby support afterwards, and with cost of electricity-generating and the minimum target of stand-by cost sum, consider the standby capacity-constrained of the standby climbing rate constraint of power balance equation, generated output power constraint, all kinds, all kinds and transmission line and section power constraint, solve the allocative decision of each zonal reserve of power system.This method, to each subregion active power output and the standby carry out combined optimization of all kinds, realizes distributing rationally for resource well on the premise of making full use of section to support and meet profile constraints, has certain reference value to Electric Power Network Planning and operation.
Description
Technical field
It is more particularly to a kind of to consider section support and section the present invention relates to a kind of electric power system operation standby optimization method
The electric power system operation standby partition zone optimizing method of constraint.
Background technology
Standby operation of power networks is to safeguard power network safety operation, ensures that power network Quality and economy runs essential technology
Means.Certain quantity of electricity deposit should be left in operation of power networks, is changed suddenly with dealing with load, electric network fault, generating equipment
The appearance of random situations such as stopping transport, so as to which imbalance between power supply and demand is minimized into journey to the adverse effect that society and enterprise bring
Degree.The ratio that general spare capacity accounts for system total load is higher, and the power supply reliability of system is higher, but spare capacity was reserved
It is more, generating equipment utilization rate can be caused low, influence the economy of system operation.China's power system development is rapid, area power grid
Scale is increasing, and regional power grid interconnection degree is increasingly close, surpasses, extra-high voltage alternating current-direct current fast development, single time high capacity transmission
Passage gradually increases, and adds the uncertainty of system operation, right in order to safeguard the security of power system and power supply reliability
The standby configuration of power system proposes new demand, particularly power system spare partitions optimization method face under new development situation
Face new challenge.
Power system spare capacity is typically determined using Deterministic Methods or probabilistic approach at present, wherein certainty side
Method is to determine spare capacity according to the certain proportion of maximum unit capacity or system peak load in system.This method is one
Method of the kind based on operating experience, does not account for whole parameters of system, may cause standby redundancy and the wasting of resources.With right
The raising of Power System Reliability requirement, determines that power system spare capacity seems excessively coarse using certainty criterion, more
The spare capacity of power system is determined using probabilistic approach come more grid companies.Probabilistic approach is in quantitative analysis electricity
On the basis of Force system reliability index, whether reasonable carry out the reserved spare capacity of decision-making system according to reliability criterion, still
This method can not provide quantization for economy and support.How both approaches do not solve spare capacity in each generating simultaneously
Assignment problem on unit.In recent years, domestic and foreign scholars have been carried out a series of for the optimization method of power system spare capacity
Research, mainly consider the factors such as power supply uncertainty, dominant eigenvalues constraint, forecast accident, integrated economics index pair
Minute spinning reserve of spare capacity, particularly 10 is optimized.But spinning reserve be run it is standby in one kind, in order to
Preferably safeguard that power system security is stable, improve the distributing rationally, it is necessary to which, spinning reserve standby to load, accident are standby of resource
With etc. polytype operation standby coordinated and optimized.At the same time, because power network has power supply and power load distributing is uneven
The problem of, in order to make full use of the standby support ability inside power network between each subregion, power network spare partitions optimization method is not
Carry out the important development direction of standby optimization, power network physical planning and operation are had great significance.
The content of the invention
Consider that the electric power system operation standby subregion with profile constraints is supported in section it is an object of the invention to provide a kind of
Optimization method, it is optimal for target with economy, it is standby to polytype operation to optimize and obtain each subregion inside power network
The method of salary distribution of generated output and all kinds spare capacity.
Step 1:It is determined that the operation spare type of required optimization and standby on capacity and response time to all kinds
Demand;The operation of required optimization is standby to be divided into that load is standby and the major class of emergency duty two, and wherein emergency duty is by spinning reserve
Start cold standby two parts composition with quick;
Step 2:Subregion is carried out to the power system in dispatching management scope, counts the generating set information in each subregion,
And determine the method for salary distribution standby in subregion;
Step 3:Equivalent process is made to the electric power outside the power system and standby support, by equivalent process by described in
Electric power and standby support outside power system are reduced to several the non-online equivalent generator groups of nuclear power for reflecting electricity transaction;
The equivalent generator group is included in same subregion, and a subregion using the subregion as the power system;
Step 4:With the optimal Optimized model that power system spare partitions are established for object function of economy;
Step 5:The Optimized model is solved according to the initial data of the power system, draws and considers that section is supported and expired
The active power output of every generating set and all kinds spare capacity that should bear in the power system after sufficient profile constraints,
And the total active power output of each subregion and all kinds that should bear in the power system are further determined according to partition information
Spare capacity, while obtain the active power output and spare capacity that should be supported outside the power system;Solve the Optimized model
It is middle to consider following constraints:The standby climbing rate of power balance equation, the constraint of generating set power output, all kinds is about
The standby capacity-constrained of beam, all kinds and transmission line and section power constraint, the capacity-constrained utilize the power train
The mutual standby support ability of the internal each subregion of system, zonal reserve requirement is converted into system integrally standby requirement.
In the step 1), load it is standby needs recalled in 5 minutes, capacity be taken as maximum generation load 2%~
3%;And emergency duty then needs to recall in 10 minutes, capacity is taken as the 8%~10% of maximum generation load, wherein rotating standby
With capacity of the capacity not less than maximum generation unit in the power system or maximum N-1 outage capacities.
The step 2) specifically includes following steps:By the power system according to generating set distribution situation according to power supply
Area and it is divided into different regions by electric zoning, or is divided into different regions according to geographical position and administrative division;Then, count
Type, installed capacity, climbing rate and the open state of generating set in each subregion;In each subregion, all kinds are standby
The method of salary distribution be:Load is standby and spinning reserve undertakes by online non-nuclear power generating sets, and the quick cold standby that starts is then by non-
Online water power, pneumoelectric and pump-storage generator undertakes.
It is equivalent to the electric power outside the power system and standby support progress in the step 3), it is reduced to be located at institute
The single generator group of power system alternating current-direct current pick-up point is stated, according to the power system and the power trade of external power system
Plan, the limitation of AC-DC tie line transimission power, the standby support ability of external power system and the expense of outer power purchase, it is determined that
Bound, climbing rate and the cost of generating and standby support of equivalent generator pool-size.
The capacity-constrained is not to propose spare capacity requirement respectively for each subregion, but the power system is full
On the premise of the limitation of sufficient transmission-line power and section power, it is only necessary to integrally can be provided standby to meet all kinds standby total
Capacity requirement.
The economy is optimal to refer to that the power system cost of electricity-generating and stand-by cost summation are minimum, and object function is specific
It is shown below:
Wherein, online is the set of all online generating sets in the electricity generation system, PiFor i-th online generator
Group is actual to contribute, cenergy,iFor i-th online generating set cost of electricity-generating, loadRiUndertaken for i-th online generating set
Load is standby, cloadR,iFor the load stand-by cost of i-th online generating set, spinRiUndertaken for i-th online generating set
Spinning reserve, cspinR,iFor the spinning reserve cost of i-th online generating set;
Offline is water power, pneumoelectric and water-storage that be all non-online in the electricity generation system but can quickly starting
The set of unit, rapidRiThe quick startup cold standby undertaken for i-th non-online generating set, crapidR,iFor i-th it is non-
The quick startup cold standby cost of line generating set.
The power balance equation is expressed as:
Wherein, S be all nodes for belonging to the power system set, DiRepresent the load of i-th of node;
The generating set power output constraint representation is:
0≤rapidRi≤Pimax i∈offline
Wherein, PimaxFor the maximum active power output of i-th generating set, PiminMinimum technology for i-th generating set goes out
Power;
The standby climbing rate constraint representation of all kinds is:
0≤loadRi≤5·RampRatei i∈online
0≤spinRi≤10·RampRatei i∈online
0≤rapidRi≤10·RampRatei i∈offline
Wherein, RampRateiFor the climbing rate of i-th generating set;
The standby capacity-constrained of all kinds is expressed as:
Wherein, conRiThe emergency reserve capacity provided for i-th generating set,For the power system maximum N-1
Outage capacity;α values are that 2%~3%, β values are 8%~10%;
The transmission-line power constraint representation is:
Wherein, lkFor kth bar circuit in the electricity generation system,For the active power after standby response on kth bar circuit,
HkiFor breadth coefficient matrix H the i-th column element of row k, represent the injecting power of i-th of node to the wattful power on kth bar circuit
The influence of rate,For the maximum transmission power of kth bar circuit;
The section power constraint representation is:
Wherein, j represents the set for belonging to all circuits of j-th of section, PjmaxFor the maximum transmitted work(of j-th of section
Rate.
Beneficial effects of the present invention are embodied in:
The present invention is taking into full account each standby support ability in by stages and the premise for meeting section power requirement inside power network
Under, standby active power output, load that each online generating set should provide and spinning reserve and each non-online is quantitatively determined
The quick startup cold standby that generating set should provide, while give active power output that each subregion should arrange and all kinds are standby
Total amount so that the economy of power network overall operation more preferably, realizes distributing rationally for resource, and the planning to power system and fortune
Row work provides certain reference.
Brief description of the drawings
Fig. 1 is that consideration section of the present invention is supported and the electric power system operation standby partition zone optimizing method of profile constraints
Flow chart;
Fig. 2 is the example sub-area division schematic diagram in the embodiment of the present invention;
Fig. 3 is the standby method of salary distribution schematic diagram of all kinds in the embodiment of the present invention.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, it is right below in conjunction with drawings and Examples
The present invention is further described.It should be appreciated that embodiment described herein is not used to limit only to explain the present invention
The present invention
Below by taking the standby partition zone optimizing of province of China operation of power networks as an example, the present invention is specifically introduced, but should
What is understood is that invention is not limited thereto, and is applied equally to that remaining power network is carried out to run standby partition zone optimizing.
As shown in figure 1, the present invention provides a kind of electric power system operation standby subregion for considering section support and profile constraints
Optimization method, comprise the following steps:
The first step:It is determined that the spare type and demand of optimization.According to《Power system technology directive/guide》、《Operation of power networks is accurate
Then》、《CHINA SOUTHERN POWER runs standby administrative provisions》And external power system is on running standby relevant regulations, this reality
Apply the operation spare type optimized in example and be divided into that load is standby and the major class of emergency duty two, wherein emergency duty by spinning reserve and
It is quick to start cold standby two parts composition;At the same time provide, the standby needs of load recalled in 5 minutes, and capacity is taken as maximum
The 2% of generation load, the maximum generation load of example power network is 90036.76MW;Emergency duty needs to recall in 10 minutes,
Capacity is taken as the 8% of maximum generation load, and wherein spinning reserve capacity is not less than the capacity or maximum of one maximum unit of system
N-1 outage capacities, maximum outage capacity 5000MW caused by system dc bipolar locking is taken as in the present embodiment.
Second step:Sub-area division simultaneously determines the standby method of salary distribution.According to service area and by electric area, example power network is divided into
8 regions, numbering is 1~8 respectively.The subregion of example power network is as shown in Figure 2.Count power supply (i.e. generating set) in each subregion
The information such as type, installed capacity, climbing rate and open state, the number of units and appearance of each online unit of subregion and non-online unit
Amount is as shown in table 1.In each subregion, the standby method of salary distribution of all kinds is as shown in figure 3, namely:Load is standby and rotates
Standby to be undertaken by online non-nuclear power generating sets, the quick cold standby that starts is held by non-online water power, pneumoelectric and pump-storage generator
Load.
3rd step:Zonal reserve requirement is changed as system integrally standby requirement.Make full use of each subregion of internal system mutual
Standby support ability, zonal reserve requirement is converted into the overall standby requirement of system, that is to say, that, it is contemplated that example power network
In each subregion power supply and power load distributing unbalanced phenomenon be present, no longer for each subregion propose respectively spare capacity will
Ask, but the example power network is on the premise of transmission-line power and section power limitation is met, it is only necessary to integrally can be provided
It is standby to meet the standby total capacity requirement of all kinds.
4th step:The electric power in equivalent other provinces and standby support.In view of alternating current-direct current interconnection phenomenon between each province's power network be present,
The electric power in other provinces and standby support are equivalent to single generator group (the online non-core positioned at alternating current-direct current pick-up point in example power network
Group of motors), one shares eight DC links and eight alternating current interconnections between example power network and other provinces, inside example power network
Alternating current-direct current pick-up point shares 11, therefore is equivalent to 11 generating sets positioned at alternating current-direct current pick-up point in example power network, with province
Interior unit combined optimization.The equivalent source in other provinces is divided into an area, numbering 0, according to the power trade plan between province, handed over
The information such as the expense of the limitation of DC link transimission power, the standby support ability in other provinces and outer power purchase, determine equivalent generating
Bound, climbing rate and the cost of generating and standby support of unit capacity, the basic condition such as institute of table 1 that outer electric power saving is supported
Show.
The example sub-area division information of table 1
5th step:With the optimal Optimized model that power system spare partitions are established for object function of economy.It is, with
Cost of electricity-generating and the minimum target of stand-by cost sum, object function expression are as follows:
Wherein, online is all online (synchronization) generating sets, P inside example power networki、cenergy,iIt is online for i-th
The actual output of unit and cost of electricity-generating, loadRi、cloadR,iThe load undertaken for i-th online unit is standby and load it is standby into
This, spinRi、cspinR,iThe spinning reserve and spinning reserve cost undertaken for i-th online unit.Offline is example power network
Internal all non-online (asynchronous) but water power, pneumoelectric and the pump-storage generator that can quickly start, rapidRi、crapidR,i
The quick startup cold standby undertaken for i-th non-online unit and quick startup cold standby cost.
6th step:Increase constraints.Constraints in the present invention has power balance equation, generated output power about
The standby capacity-constrained of the standby climbing rate constraint of beam, all kinds, all kinds and transmission line and section power constraint.Examine
The characteristic for considering nuclear power generating sets makes it completely send out not providing standby support, i.e. it is defeated that the power bounds of nuclear power generating sets is set to its maximum
Go out power, climbing rate is set to 0;Consider when most harsh conditions are that other provinces can not provide standby support, each point inside example power network
The standby assignment problem of area's generating set, it is therefore assumed that other provinces equivalent source is completely sent out and do not provide standby support.
1) power balance equation
Wherein, S is all nodes for belonging to the example power network, DiRepresent the load of the node.
2) generated output power constrains
0≤rapidRi≤Pimax(i∈offline)
Wherein, PimaxFor the maximum active power output of i-th generating set, PiminMinimum technology for i-th generating set goes out
Power.
3) the standby climbing rate constraint of all kinds
0≤loadRi≤5·RampRatei(i∈online)
0≤spinRi≤10·RampRatei(i∈online)
0≤rapidRi≤10·RampRatei(i∈offline)
Wherein, RampRateiFor the climbing rate of i-th unit, the standby needs of load recalled in 5 minutes, emergency duty
Then need to recall in 10 minutes including spinning reserve and the quick cold standby that starts.
4) the standby capacity-constrained of all kinds
Wherein, conRiThe emergency reserve capacity provided for i-th generating set,For maximum N-1 events in example power network
Hinder capacity.Above formula shows that the standby total amount of load is not less than the 2% of maximum generation load, and spinning reserve total amount is not less than maximum N-1
Outage capacity, emergency reserve capacity is spinning reserve capacity and quick cold standby capacity sum, and total amount is not less than maximum generation
The 8% of load.
5) transmission-line power constrains
Wherein, lkFor kth bar circuit,For the active power after standby response on kth bar circuit, HkiFor breadth coefficient square
Battle array H the i-th column elements of row k, influence of the injecting power of i-th of node to the active power on kth bar circuit is represented,For
The maximum transmission power of kth bar circuit.
6) section power constrains
Wherein, j represents all circuits for belonging to j-th of section, PjmaxFor the maximum transmission power of j-th of section.
7th step:Establish Optimized model and calculated according to initial data and solved.According to above-mentioned optimization method, in Matlab
It is modeled, and is solved using Mosek optimization tools, obtains the optimization knot of each subregion active power output and all kinds of spare capacities
Fruit.
In the present embodiment, using example power network summer in 2015 big mode initial data, according to above-mentioned optimization method, draw
Consider the standby appearance of all kinds that section is supported and met after profile constraints the active power output of every generating set and should bear
Amount, and further obtain considering each subregion active power output of example power network of section support and profile constraints according to partition information, bear
Lotus is standby, spinning reserve and the quick allocative decision for starting cold standby, as shown in table 2.Now, the cost of electricity-generating of the example power network
Reach minimum with stand-by cost sum.
The example power network spare partitions optimum results of table 2
Analyze above-mentioned optimum results and understand that each subregion active power output sum is 90036.76MW in embodiment, meet maximum
The active power output of the demand of generation load, wherein 55452.26MW is provided by example power network internal generator,
34584.50MW active power output is come by the conveying of other provinces power network.
The reserve capacity for load variation in power that each subregion should bear in embodiment shares 1800.74MW, the maximum generation load more than 2%
(1800.7352MW), meet the standby requirement of partition load, wherein as it is assumed that other provinces do not provide standby support, therefore other provinces (subregion
0) the standby result of load of optimization is 0MW.
The spinning reserve capacity that each subregion should bear in embodiment shares 6761.95MW, more than the N-1 outage capacities of maximum
(5000MW), meet subregion spinning reserve requirement, wherein as it is assumed that other provinces do not provide standby support, therefore other provinces (subregion 0) is excellent
The spinning reserve result of change is 0MW.
Each subregion should bear in embodiment quick startup cold standby capacity shares 441MW, therefore each subregion is provided
Emergency reserve capacity is that spinning reserve starts cold standby sum, i.e. 7207.95MW, the maximum generation load more than 8% with quick
(7202.9408MW), meet subregion emergency duty requirement, wherein as it is assumed that other provinces do not provide standby support, therefore other provinces (subregion
0) the quick startup cold standby result of optimization is 0MW.At the same time, as can be seen from Table 1, do not opened although many subregions have
Generating set, but only subregion 4 and subregion 7 can be provided soon containing non-online water power, pneumoelectric and pump-storage generator
Speed starts cold standby, therefore it is rational quickly to start cold standby in the optimum results of table 2 all to be undertaken by subregion 4 and subregion 7.
Finally it should be noted that:The above embodiments are merely illustrative of the technical scheme of the present invention and are not intended to be limiting thereof, to the greatest extent
The present invention is described in detail with reference to above-described embodiment for pipe, those of ordinary skills in the art should understand that:Still
The embodiment of the present invention can be modified or equivalent substitution, and without departing from any of spirit and scope of the invention
Modification or equivalent substitution, it all should cover among scope of the presently claimed invention.
Claims (7)
1. a kind of consider that the electric power system operation standby partition zone optimizing method with profile constraints is supported in section, it is characterised in that:Bag
Include following steps:
Step 1:It is determined that the operation spare type of required optimization and to the standby need on capacity and response time of all kinds
Ask;The operation of required optimization is standby to be divided into that load is standby and the major class of emergency duty two, and wherein emergency duty is by spinning reserve and fast
Speed starts cold standby two parts composition;
Step 2:Subregion is carried out to the power system in dispatching management scope, counts the generating set information in each subregion, and really
Determine the method for salary distribution standby in subregion;
Step 3:Equivalent process is made to the electric power outside the power system and standby support, by equivalent process by the electric power
The electric power of its exterior and standby support are reduced to several the non-online equivalent generator groups of nuclear power for reflecting electricity transaction;By institute
State equivalent generator group and be included in same subregion, and a subregion using the subregion as the power system;
Step 4:With the optimal Optimized model that power system spare partitions are established for object function of economy;
Step 5:The Optimized model is solved according to the initial data of the power system, draws and considers that section is supported and met disconnected
The active power output of every generating set and all kinds spare capacity that should bear in the power system after the constraint of face, go forward side by side
One step determines that the total active power output of each subregion and all kinds that should bear are standby in the power system according to partition information
Capacity, while obtain the active power output and spare capacity that should be supported outside the power system;Solve and examined in the Optimized model
Consider following constraints:The standby climbing rate of power balance equation, the constraint of generating set power output, all kinds constrains, is each
The standby capacity-constrained of type, transmission-line power constraint and section power constraint, the capacity-constrained utilize the power train
The mutual standby support ability of the internal each subregion of system, zonal reserve requirement is converted into system integrally standby requirement.
2. a kind of as claimed in claim 1 consider that the electric power system operation standby partition zone optimizing side with profile constraints is supported in section
Method, it is characterised in that:In the step 1), the standby needs of load recalled in 5 minutes, and capacity is taken as maximum generation load
2%~3%;And emergency duty then needs to recall in 10 minutes, capacity is taken as the 8%~10% of maximum generation load, wherein
Capacity of the spinning reserve capacity not less than maximum generation unit in the power system or maximum N-1 outage capacities.
3. a kind of as claimed in claim 1 consider that the electric power system operation standby partition zone optimizing side with profile constraints is supported in section
Method, it is characterised in that:The step 2) specifically includes following steps:The power system is pressed according to generating set distribution situation
It is divided into different regions according to service area and by electric zoning, or is divided into different regions according to geographical position and administrative division;So
Afterwards, the type of generating set in each subregion, installed capacity, climbing rate and open state are counted;It is various types of in each subregion
The standby method of salary distribution of type is:Load is standby and spinning reserve undertakes by online non-nuclear power generating sets, quickly starts cold standby
Then undertaken by non-online water power, pneumoelectric and pump-storage generator.
4. a kind of as claimed in claim 1 consider that the electric power system operation standby partition zone optimizing side with profile constraints is supported in section
Method, it is characterised in that:It is equivalent to the electric power outside the power system and standby support progress in the step 3), it is reduced to
Single generator group positioned at the power system alternating current-direct current pick-up point, according to the power system and the electricity of external power system
Can trading program, the limitation of AC-DC tie line transimission power, the standby support ability of external power system and taking for outer power purchase
With determining the bound, climbing rate and the cost of generating and standby support of equivalent generator pool-size.
5. a kind of as claimed in claim 1 consider that the electric power system operation standby partition zone optimizing side with profile constraints is supported in section
Method, it is characterised in that:The capacity-constrained is not to propose that spare capacity requires respectively for each subregion, but the power train
System is on the premise of meeting that transmission-line power and section power limit, it is only necessary to which what integrally be can be provided standby meets all kinds
Standby total capacity requirement.
6. a kind of as claimed in claim 1 consider that the electric power system operation standby partition zone optimizing side with profile constraints is supported in section
Method, it is characterised in that:The economy is optimal to refer to that the power system cost of electricity-generating and stand-by cost summation are minimum, target letter
Shown in number formula specific as follows:
<mrow>
<mi>min</mi>
<mrow>
<mo>(</mo>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>o</mi>
<mi>n</mi>
<mi>l</mi>
<mi>i</mi>
<mi>n</mi>
<mi>e</mi>
</mrow>
</munder>
<mo>(</mo>
<mrow>
<msub>
<mi>c</mi>
<mrow>
<mi>e</mi>
<mi>n</mi>
<mi>e</mi>
<mi>r</mi>
<mi>g</mi>
<mi>y</mi>
<mo>,</mo>
<mi>i</mi>
</mrow>
</msub>
<msub>
<mi>P</mi>
<mi>i</mi>
</msub>
<mo>+</mo>
<msub>
<mi>c</mi>
<mrow>
<mi>l</mi>
<mi>o</mi>
<mi>a</mi>
<mi>d</mi>
<mi>R</mi>
<mo>,</mo>
<mi>i</mi>
</mrow>
</msub>
<msub>
<mi>loadR</mi>
<mi>i</mi>
</msub>
<mo>+</mo>
<msub>
<mi>c</mi>
<mrow>
<mi>s</mi>
<mi>p</mi>
<mi>i</mi>
<mi>n</mi>
<mi>R</mi>
<mo>,</mo>
<mi>i</mi>
</mrow>
</msub>
<msub>
<mi>spinR</mi>
<mi>i</mi>
</msub>
</mrow>
<mo>)</mo>
<mo>+</mo>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>o</mi>
<mi>f</mi>
<mi>f</mi>
<mi>l</mi>
<mi>i</mi>
<mi>n</mi>
<mi>e</mi>
</mrow>
</munder>
<msub>
<mi>c</mi>
<mrow>
<mi>r</mi>
<mi>a</mi>
<mi>p</mi>
<mi>i</mi>
<mi>d</mi>
<mi>R</mi>
<mo>,</mo>
<mi>i</mi>
</mrow>
</msub>
<msub>
<mi>rapidR</mi>
<mi>i</mi>
</msub>
<mo>)</mo>
</mrow>
</mrow>
Wherein, online is the set of all online generating sets in power system, PiFor i-th online generating set it is actual go out
Power, cenergy,iFor i-th online generating set cost of electricity-generating, loadRiThe load undertaken for i-th online generating set is standby,
cloadR,iFor the load stand-by cost of i-th online generating set, spinRiThe rotation undertaken for i-th online generating set is standby
With cspinR,iFor the spinning reserve cost of i-th online generating set;
Offline is the collection of water power, pneumoelectric and pump-storage generator all non-online in power system but can quickly start
Close, rapidRiThe quick startup cold standby undertaken for i-th non-online generating set, crapidR,iFor i-th non-online generator
The quick startup cold standby cost of group.
7. a kind of as claimed in claim 1 consider that the electric power system operation standby partition zone optimizing side with profile constraints is supported in section
Method, it is characterised in that:The power balance equation is expressed as:
<mrow>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>o</mi>
<mi>n</mi>
<mi>l</mi>
<mi>i</mi>
<mi>n</mi>
<mi>e</mi>
</mrow>
</munder>
<msub>
<mi>P</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>S</mi>
</mrow>
</munder>
<msub>
<mi>D</mi>
<mi>i</mi>
</msub>
</mrow>
Wherein, S be all nodes for belonging to the power system set, DiRepresent the load of i-th of node;
The generating set power output constraint representation is:
<mrow>
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<msub>
<mi>P</mi>
<mi>i</mi>
</msub>
<mo>+</mo>
<msub>
<mi>loadR</mi>
<mi>i</mi>
</msub>
<mo>+</mo>
<msub>
<mi>spinR</mi>
<mi>i</mi>
</msub>
<mo>&le;</mo>
<msub>
<mi>P</mi>
<mrow>
<mi>i</mi>
<mi>max</mi>
</mrow>
</msub>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msub>
<mi>P</mi>
<mi>i</mi>
</msub>
<mo>-</mo>
<msub>
<mi>loadR</mi>
<mi>i</mi>
</msub>
<mo>&GreaterEqual;</mo>
<msub>
<mi>P</mi>
<mrow>
<mi>i</mi>
<mi>min</mi>
</mrow>
</msub>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
<mo>,</mo>
<mi>i</mi>
<mo>&Element;</mo>
<mi>o</mi>
<mi>n</mi>
<mi>l</mi>
<mi>i</mi>
<mi>n</mi>
<mi>e</mi>
</mrow>
0≤rapidRi≤Pimax i∈offline
Wherein, PimaxFor the maximum active power output of i-th generating set, PiminContributed for the minimum technology of i-th generating set;
The standby climbing rate constraint representation of all kinds is:
0≤loadRi≤5·RampRatei i∈online
0≤spinRi≤10·RampRatei i∈online
0≤rapidRi≤10·RampRatei i∈offline
Wherein, RampRateiFor the climbing rate of i-th generating set;
The standby capacity-constrained of all kinds is expressed as:
<mrow>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>o</mi>
<mi>n</mi>
<mi>l</mi>
<mi>i</mi>
<mi>n</mi>
<mi>e</mi>
</mrow>
</munder>
<msub>
<mi>loadR</mi>
<mi>i</mi>
</msub>
<mo>&GreaterEqual;</mo>
<mi>&alpha;</mi>
<mo>&CenterDot;</mo>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>S</mi>
</mrow>
</munder>
<msub>
<mi>D</mi>
<mi>i</mi>
</msub>
</mrow>
<mrow>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>o</mi>
<mi>n</mi>
<mi>l</mi>
<mi>i</mi>
<mi>n</mi>
<mi>e</mi>
</mrow>
</munder>
<msub>
<mi>spinR</mi>
<mi>i</mi>
</msub>
<mo>&GreaterEqual;</mo>
<msubsup>
<mi>&Delta;P</mi>
<mrow>
<mi>m</mi>
<mi>a</mi>
<mi>x</mi>
</mrow>
<mrow>
<mi>N</mi>
<mo>-</mo>
<mn>1</mn>
</mrow>
</msubsup>
</mrow>
<mrow>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>o</mi>
<mi>n</mi>
<mi>l</mi>
<mi>i</mi>
<mi>n</mi>
<mi>e</mi>
<mo>&cup;</mo>
<mi>o</mi>
<mi>f</mi>
<mi>f</mi>
<mi>l</mi>
<mi>i</mi>
<mi>n</mi>
<mi>e</mi>
</mrow>
</munder>
<msub>
<mi>conR</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>o</mi>
<mi>n</mi>
<mi>l</mi>
<mi>i</mi>
<mi>n</mi>
<mi>e</mi>
</mrow>
</munder>
<msub>
<mi>spinR</mi>
<mi>i</mi>
</msub>
<mo>+</mo>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>o</mi>
<mi>f</mi>
<mi>f</mi>
<mi>l</mi>
<mi>i</mi>
<mi>n</mi>
<mi>e</mi>
</mrow>
</munder>
<msub>
<mi>rapidR</mi>
<mi>i</mi>
</msub>
<mo>&GreaterEqual;</mo>
<mi>&beta;</mi>
<mo>&CenterDot;</mo>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>S</mi>
</mrow>
</munder>
<msub>
<mi>D</mi>
<mi>i</mi>
</msub>
</mrow>
Wherein, conRiThe emergency reserve capacity provided for i-th generating set,For the power system maximum N-1 failures
Capacity;α values are that 2%~3%, β values are 8%~10%;
The transmission-line power constraint representation is:
<mrow>
<mo>-</mo>
<msub>
<mi>P</mi>
<mrow>
<msub>
<mi>l</mi>
<mi>k</mi>
</msub>
<mi>m</mi>
<mi>a</mi>
<mi>x</mi>
</mrow>
</msub>
<mo>&le;</mo>
<msubsup>
<mi>P</mi>
<msub>
<mi>l</mi>
<mi>k</mi>
</msub>
<mo>&prime;</mo>
</msubsup>
<mo>&le;</mo>
<msub>
<mi>P</mi>
<mrow>
<msub>
<mi>l</mi>
<mi>k</mi>
</msub>
<mi>m</mi>
<mi>a</mi>
<mi>x</mi>
</mrow>
</msub>
</mrow>
<mrow>
<msubsup>
<mi>P</mi>
<msub>
<mi>l</mi>
<mi>k</mi>
</msub>
<mo>&prime;</mo>
</msubsup>
<mo>=</mo>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>o</mi>
<mi>n</mi>
<mi>l</mi>
<mi>i</mi>
<mi>n</mi>
<mi>e</mi>
</mrow>
</munder>
<msub>
<mi>H</mi>
<mrow>
<mi>k</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>&CenterDot;</mo>
<mrow>
<mo>(</mo>
<msub>
<mi>P</mi>
<mi>i</mi>
</msub>
<mo>+</mo>
<msub>
<mi>loadR</mi>
<mi>i</mi>
</msub>
<mo>+</mo>
<msub>
<mi>spinR</mi>
<mi>i</mi>
</msub>
<mo>)</mo>
</mrow>
<mo>+</mo>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>o</mi>
<mi>f</mi>
<mi>f</mi>
<mi>l</mi>
<mi>i</mi>
<mi>n</mi>
<mi>e</mi>
</mrow>
</munder>
<msub>
<mi>H</mi>
<mrow>
<mi>k</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>&CenterDot;</mo>
<msub>
<mi>rapidR</mi>
<mi>i</mi>
</msub>
<mo>-</mo>
<munder>
<mo>&Sigma;</mo>
<mrow>
<mi>i</mi>
<mo>&Element;</mo>
<mi>S</mi>
</mrow>
</munder>
<msub>
<mi>H</mi>
<mrow>
<mi>k</mi>
<mi>i</mi>
</mrow>
</msub>
<mo>&CenterDot;</mo>
<msub>
<mi>D</mi>
<mi>i</mi>
</msub>
</mrow>
Wherein, lkFor kth bar circuit in power system,For the active power after standby response on kth bar circuit, HkiFor distribution
Coefficient matrix H the i-th column elements of row k, influence of the injecting power of i-th of node to the active power on kth bar circuit is represented,For the maximum transmission power of kth bar circuit;
The section power constraint representation is:
<mrow>
<mo>-</mo>
<msub>
<mi>P</mi>
<mrow>
<mi>j</mi>
<mi>m</mi>
<mi>a</mi>
<mi>x</mi>
</mrow>
</msub>
<mo>&le;</mo>
<munder>
<mo>&Sigma;</mo>
<mrow>
<msub>
<mi>l</mi>
<mi>k</mi>
</msub>
<mo>&Element;</mo>
<msub>
<mi>j</mi>
<mi>k</mi>
</msub>
</mrow>
</munder>
<msubsup>
<mi>P</mi>
<msub>
<mi>l</mi>
<mi>k</mi>
</msub>
<mo>&prime;</mo>
</msubsup>
<mo>&le;</mo>
<msub>
<mi>P</mi>
<mrow>
<mi>j</mi>
<mi>m</mi>
<mi>a</mi>
<mi>x</mi>
</mrow>
</msub>
</mrow>
Wherein, j represents the set for belonging to all circuits of j-th of section, PjmaxFor the maximum transmission power of j-th of section.
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