CN105914762A - Interconnected network frequency deviation coefficient setting method based on cooperative game theory - Google Patents
Interconnected network frequency deviation coefficient setting method based on cooperative game theory Download PDFInfo
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Abstract
The present invention discloses an interconnected network frequency deviation coefficient setting method based on a cooperative game theory. The method comprises: employing a TBC control mode in the process that the interconnected network automatically generates to control the operation; dividing different grades of the operation states according to the size of the frequency deviation, wherein the B setting modes of each control region are different in different grades; when a frequency modulation region is combined, the B coefficients of each control region is periodically changed according to the cooperative game Shapley and the nucleolus model to regulate the incoming optimization of each control region to the incoming distribution point of the cooperate game. According to the invention, the incoming optimization distribution of each control region is realized.
Description
Technical field
The present invention relates to Automatic Generation Control field, be specifically related to a kind of interconnected network frequency theoretical based on cooperative game
Deviation factor establishing method.
Background technology
Automatic Generation Control (AGC) be maintain interconnected network frequency be rated value, dominant eigenvalues is the important of planned value
Technological means.Dominant eigenvalues and frequency bias control (TBC) are rational AGC control models during interconnected network runs, in control
In the case of parameter processed selects suitably, as long as there are enough AGC regulating powers each control zone, it is possible to achieve each control zone is only responsible for
The power of disturbance of regulation one's respective area.Frequency modulation maldistribution of the resources in electrical network, the most extensive intermittent energy generating is adjusted after accessing
Frequently capacity requirement dramatically increases.The simple AGC regulating power relying on control zone self, it is difficult to ensure frequency and dominant eigenvalues
Controlling effect, the AGC regulation resource of the whole network also can not get effectively utilizing.Need to study new AGC control model, coordinate each control
AGC between district runs, and preferably plays the AGC regulating power of the whole network, it is ensured that AGC coordinates the income during controlling in each control
Fair allocat between district processed.
Under TBC control model, the setting of frequency bias coefficient (being called for short B coefficient) plays vital work to frequency retrieval
With.Existing document proposes the AGC control model according to disturbance quantity distribution B coefficient, according to the B of each control zone of big wisp of disturbance
Coefficient modifying is B+ Δ B, it is achieved AGC coordinates to control.In order to ensure the reasonable adjusting of AGC unit under different crisis situations, existing
Document also proposes the running status of the big wisp system according to frequency departure absolute value and is divided into different brackets, grade difference B system
The setting means of number is different.Document " interconnected network k-factor adjustable strategies [J] based on dynamic coefficient method. electric power network technique, 2009,
33 (12): 72-76 " consider the cooperation of AGC unit between each control zone, set in a different manner in the case of different disturbances
B coefficient.Document " East China Power Grid dynamic area controls error applied analysis [J]. Automation of Electric Systems, and 2010,34 (8): 106-
110 " describe computational methods and the physical significance of dynamic ACE, propose to consider that transregional power transmission unit tripping and interconnection are out-of-limit about
Dynamic ACE embodiment during bundle.Current research has only focused on each control interval AGC, and how coordination just can make system run
Optimized, but be not directed to income how reasonable distribution between each control zone, encourage it to carry out cooperation, form firm conjunction
Make alliance.
Summary of the invention
For solving the deficiency that prior art exists, the invention discloses a kind of interconnected network frequency theoretical based on cooperative game
Rate deviation factor establishing method, the present invention is on the basis of the AGC theoretical based on cooperative game coordinates control mechanism, it is proposed that one
Plant the interconnected network AGC coordination control strategy theoretical based on cooperative game.
For achieving the above object, the concrete scheme of the present invention is as follows:
A kind of interconnected network frequency bias coefficient establishing method theoretical based on cooperative game, including:
Interconnected network Automatic Generation Control uses TBC control model during running；
Being divided into different brackets according to frequency departure big wisp running status, under different brackets, the B coefficient of each control zone sets
Mode is different；
When combining frequency modulation district, change the B system of each control zone periodically according to the Shapley of cooperative game and the nucleolus
Number, optimizes and revises the income of each control zone the distribution of income point of cooperative game.
Further, interconnected network Automatic Generation Control is for coordinating to control, and each control zone periodically calculates this control zone
AGC unit regulating power, real-time report is to superior control centre, and control centre periodically calculates B coefficient, is assigned to each control
District.
Further, above-mentioned according to frequency departure | Δ f | is big, and wisp running status is divided into different brackets, each under different brackets
The B coefficient setting means of control zone is different, is embodied in:
| Δ f | in dead band, i.e. 0≤| Δ f |≤| Δ f |DTime, in system, all AGC units are all failure to actuate；
| Δ f | in normal regulating district, i.e. | Δ f |D<|Δf|≤|Δf|NTime, each control zone is all with natural frequency characteristic system
Number β is responsible for control as B coefficient, frequency modulation frequency modulation by perturbing area oneself, and the primary frequency modulation power provided other control zones props up
The amount of helping is fully compensated；
| Δ f | in combine regulation district, i.e. | Δ f |N<|Δf|≤|Δf|CTime, control centre is according to disturbance size and each control
The frequency regulating duty in district processed calculates B index variation amount Δ Bi, it is issued to each control zone, is B its B coefficient modifyingi+ΔBi, the most extensive
Complex frequency；
| Δ f | at urgent regulatory region, i.e. | Δ f | > | Δ f |CTime, control centre calculates each control zone B according to fm capacityi,
Make system all of AGC unit all participate in frequency modulation by fm capacity, prevent collapse of frequency.
Wherein, | Δ f |DIt is the first setting value, | Δ f |NIt is the second setting value, | Δ f |CIt is the 3rd setting value, and value | Δ f
|D<|Δf|N<|Δf|C。
Further, above-mentioned B coefficient setting principle is:
B coefficient represents the AGC frequency regulating duty that control zone undertakes, when B coefficient is arranged more than natural frequency characteristic coefficient, and its value
Frequency regulating duty outside this control zone that the biggest expression control zone undertakes is the biggest.When | Δ f | is in combine regulation district, Δ BiSet
Put and should ensure that the fair allocat of income during whole AGC coordinates to control.
Further, during AGC coordinates to control, the income of each control zone is mainly made up of two parts: the most standby
The expense that outside arranging expense that AGC pondage saved less and undertaking control zone, frequency regulating duty is spent.
Further, the most standby expense that AGC pondage saved is set less by setting up AGC pondage income
Model calculates, and undertakes the expense that frequency regulating duty outside control zone spent and calculates by setting up corresponding model.
Further, change the B coefficient of each control zone periodically according to the Shapley of cooperative game and the nucleolus,
The income of each control zone optimizes and revises the distribution of income point of cooperative game, needs to set up the income allocation model of cooperative game.
Further, the income allocation model of cooperative game, during setting up, makes N={1, and 2 ..., n} represents interconnection
The set in power grid control district, n is control zone number, and the Cooperative reference that AGC coordinates to control can be with having ordinal number to (N, v) table
Showing, wherein v is characterized function, be fromTo set of real numbers RNMapping, S is the subset of N, and v (S) refers in alliance S each
Control zone carries out AGC and coordinates to control produced income, v (φ)=0.
Further, characteristic function is meant that: to any possible control zone set S, have one to be produced by cooperating
Raw income v (S), it is clear that forS ∩ T=φ, must have v (S)+v (T)≤v (S ∪ T), i.e. and cooperative game (N, v)
Surpassing and can add, this is the essential condition of each control zone cooperation, and T is any one set.
Further, if vector x ∈ RNRepresent the distribution of income vector of game when control zone collection is combined into N, xiExpression is distributed to
The income of control zone i ∈ N, cooperative game meets two basic assumptions:
1) cooperative game (N, distribution of income vector x ∈ R v)NMeeting individual rationality, the most each control zone can obtain ratio
It is added without the more income of alliance, forThere is x (i) >=v (i).
2) cooperative game (N, distribution of income vector x ∈ R v)NMeet collective rationality, the most each alliance respectively controls distinguish
The income sum obtained is equal to the total revenue of alliance,
Further, Shapley value is the efficient solution of cooperative game, and the income that control zone i should get is equal to this control
District is the meansigma methods of the contributrion margin of its participated in alliance to each, and Shapley value is the unique value solution of cooperative game, can conduct
AGC coordinates to control the solution of economic benefit distribution.
Further, kernel: when distribution of income vector belongs to kernel, least preferably alliance is also better than other all points
The least preferably alliance of orientation amount, kernel is another solution of cooperative game, and it exists and unique, can coordinate as AGC equally
Control the solution of economic benefit distribution.
Further, B coefficient optimal design-aside principle:
During AGC coordinates to control, periodically update each control zone of B coefficient change and undertake frequency regulating duty outside this control
Expense, the integral benefit of each control zone is adjusted to the distribution of income point of cooperative game, step is as follows:
1) obtain system data, coordinate to control earnings pattern according to the AGC set up, rollably calculate each control zone
AGC pondage income and undertake the expense that frequency regulating duty spends outside control zone；
2) when | Δ f | is in combine regulation district, the actual AGC pondage income of each control zone and cooperative game are calculated
Distribution of income point, arranges the B coefficient of each control according to disturbance size and cooperative game earnings pattern, the overall receipts of each control zone
Benefit adjusts to the distribution of income point of cooperative game；
3) when | Δ f | is during at urgent regulatory region, distribute the B coefficient of each control zone according to fm capacity, and calculate this and disturb
The expense of the urgent frequency modulation in each control zone of disorder of internal organs.
Beneficial effects of the present invention:
The present invention is analyzing on the basis of the AGC theoretical based on cooperative game coordinate control mechanism, it is proposed that a kind of based on
The interconnected network AGC coordination control strategy that cooperative game is theoretical.Interconnected network AGC uses TBC control model during running,
Running status according to frequency departure big wisp system is divided into different brackets, the B coefficient setting side of each control zone under different brackets
Formula is different.When combining frequency modulation district, change the B system of each control zone periodically according to the Shapley of cooperative game and the nucleolus
Number, optimizes and revises the income of each control zone the distribution of income point of cooperative game.The system of three control zone interconnections is imitated
Very, the effectiveness of the interconnected network AGC coordination control strategy theoretical based on cooperative game is demonstrated.
Accompanying drawing explanation
Fig. 1 TBC-TBC control model；
Fig. 2 AGC coordination control strategy；
Fig. 3 | Δ f | regulation region grade classification；
System frequency change when Fig. 4 sets different B coefficient；
Fig. 5 frequency domain simulation eur contrasts；
Fig. 6 tri-control zone B coefficient setting curve；
The various method of salary distribution of Fig. 7 compares schematic diagram；
Fig. 8 B coefficient allocation flow figure based on cooperative game theory；
Fig. 9 tri-control zone interconnected electric power system；
Figure 10 tri-control zone AGC one day pondage demand curve.
Detailed description of the invention:
The present invention is described in detail below in conjunction with the accompanying drawings:
About frequency bias coefficient:
Fig. 1 represents the power system of two control zone interconnections, and control zone A and B all uses TBC control model, and Region control is inclined
The computing formula of difference ACE is respectively as follows:
ACEA=PTa-PTs+BA(fa-fs)=Δ PT+BAΔf (1)
ACEB=-(PTa-PTs)+BB(fa-fs)=-Δ PT+BBΔf (2)
In formula: PTa, PTsIt is respectively actual value and the planned value of dominant eigenvalues；fa, fsBe respectively frequency actual value and
Rated value；BA、BBIt is respectively the B coefficient of control zone A and B.
If control zone A load increases Δ PL, after primary frequency modulation, system frequency reduces Δ f=-Δ PL/(βA+βB), connection
Changed power Δ P on winding threadAB=-Δ PLβB/(βA+βB), wherein βA、βBIt is respectively the natural frequency characteristic coefficient of control zone A, B.
When control zone A, B arrange B=β, ACEA=Δ PAB+βAΔ f=-Δ PL, ACEB=Δ PBA+βBΔ f=0, only disturbs
Dynamic control zone produces control action；B is set > β time, undisturbed control zone participate in control, the beneficially fast quick-recovery of frequency；Arrange
< during β, undisturbed control zone reversely regulates B, is harmful to frequency retrieval.
Coordinate to control about AGC:
Each control zone periodically calculates the AGC unit regulating power of this control zone and (includes total regulations speed and regulation model
Enclose), real-time report is to superior control centre.Control centre according to system running state, system-wide regulation resource and is respectively controlled
The property information cycle ground such as the AGC frequency regulating duty in district processed calculate B coefficient, are assigned to each control zone, as shown in Figure 2.
The running status of system can be divided into different brackets according to the size of frequency departure absolute value, as shown in Figure 3.Not
Under ad eundem | Δ f |, each control zone B coefficient setting means is different, specific as follows:
1) | Δ f | is in dead band, i.e. 0≤| Δ f |≤| Δ f |DTime, in system, all AGC units are all failure to actuate.
2) | Δ f | in normal regulating district, i.e. | Δ f |D<|Δf|≤|Δf|NTime, it is also desirable to each control zone all with
Natural frequency characteristic coefficient β is as B coefficient, and frequency modulation frequency modulation is responsible for control by perturbing area oneself, and other control zones are provided
Primary frequency modulation power support capacity is fully compensated.
3) | Δ f | in combine regulation district, i.e. | Δ f |N<|Δf|≤|Δf|CTime, superior control centre is according to disturbance size
Δ B is calculated with the frequency regulating duty of each control zonei, it is issued to each control zone, is B its B coefficient modifyingi+ΔBi, fast quick-recovery frequency
Rate.
4) | Δ f | at urgent regulatory region, i.e. | Δ f | > | Δ f |CTime, superior control centre calculates each control according to fm capacity
District B processedi, make system all of AGC unit all participate in frequency modulation by fm capacity, prevent collapse of frequency.
B coefficient setting principle based on cooperative game
B coefficient represents the AGC frequency regulating duty that control zone undertakes, when B coefficient is arranged more than natural frequency characteristic coefficient, and its value
Frequency regulating duty outside this control zone that the biggest expression control zone undertakes is the biggest.When | Δ f | is in combine regulation district, Δ BiSet
Putting should be in line with fair and just principle, it is ensured that the fair allocat of income during whole AGC coordinates to control.This is substantially many
Conflict of interest problem between Interest Main Body, cooperative game is the effective mathematical model method solving problems, it is possible to find
A kind of reasonably income distribution program, the Δ B of each control zone of optimal design-asidei, promote it to carry out cooperation.
AGC coordinates to control earnings pattern: during AGC coordinates to control, the income of each control zone is mainly by two parts group
Become: the most standby expense that AGC pondage saved is set less and undertakes control zone outside the expense that spent of frequency regulating duty.
AGC pondage earnings pattern: the AGC pondage that each control zone can be called from other control zones, is controlled by other
District processed is the impact of remaining available AGC pondage after meeting self AGC demand, is limited by interregional interconnection transmission capacity simultaneously
System.Under certain running status, control zone i can be represented by from the maximum AGC pondage that j obtains:
Pijmax=max [min (Prj,Cijmax-Psij),0] (3)
Wherein: PijmaxThe maximum AGC pondage that can obtain from j for control zone i；PrjSelf AGC is met for control zone j
Remaining available AGC pondage after demand；CijmaxFor the maximum transfer capacity of interconnection between i and j of control zone；PsijFor control
Tie line Power planned value between district i and j processed.
Maximum AGC pondage P that control zone i can obtain from other all intarconnected cotrol districtsimaxIt is represented by:
Wherein: n is intarconnected cotrol district number.
By to historical load, generation schedule, interconnection exchange plan, spinning reserve, unit or the accident of transmission of electricity element
The analysis of the data such as fault and wind power prediction deviation, obtains control zone j historical juncture actually required AGC pondage.
AGC pondage actually required under given history run state for control zone j is represented by:
Paj=Ploadj-Ploadfj-Pgj-Psj+Plj+Pwj+Pcj+Poj (5)
Wherein: PloadjFor time dependent load in the j historical period of control zone；PloadfjHigh-frequency fluctuation for load
Part, the part i.e. original ACE signal filtering removed.From PloadjMiddle separation PloadfjObtain a minute algorithm for stage load component
Have: roll averaging method, period averaging method etc.；PgjGeneration schedule for control zone j；PsjFor control zone j and other all interconnection districts
The summation of territory Tie line Power plan；PljFor the holiday of spinning reserve, in the start-up course of spinning reserve, will
AGC capacity is had temporarily to replace it to meet the regulatory demand of system；PwjThe AGC regulation caused for wind power prediction deviation is held
Amount；PcjThe AGC pondage caused for the chance failure of unit or transmission of electricity element；PojThe AGC regulation caused for other factors is held
Amount, the AGC pondage as caused by the anti-tune phenomenon coordinating reason to produce because of AGC unit.
The setting value of AGC pondage is Psetj, control zone j meets the available AGC pondage of residue after self AGC demand
PrjIt is represented by:
Prj=Psetj-Paj (6)
If the unit cost of AGC pondage is γC, control zone i arranges the expense that AGC pondage saved less and is:
CSi=Pimax·γC (7)
| the Δ f | that undertakes frequency regulating duty cost model outside control zone: assume is in combine regulation district, and the power of control zone i lacks
Volume is Δ PLi, the disturbance of other control zones is 0.ΔPLiCan be analyzed to Δ PiNWith Δ PCTwo parts: the former control zone i exists
Regulation power in normal regulating district, the frequency regulating duty should bear for control zone i；The latter represents should by all intarconnected cotrol districts altogether
With the regulation power undertaken, the distribution distribution of interests principle based on cooperative game of frequency regulating duty.ΔPiNWith Δ PCCalculating public
Formula is respectively as shown in formula (8) and formula (9):
Wherein: Δ fNBoundary frequency deviation value for normal regulating district and combine regulation district；N is the individual of intarconnected cotrol district
Number.
ΔPC=Δ PLi-ΔPiN (9)
Assume that the AGC regulation power that j and i distribution in control zone undertakes is respectively Δ PCjWith Δ PCi, then Δ BjWith Δ BiMeter
Calculation formula is respectively as follows:
ΔBj=-Δ PCj/Δf (10)
If the unit cost undertaking frequency regulating duty is γS, control zone i undertakes the frequency regulating duty expense outside this control zone such as
Following formula:
CCi=Δ PCi·γS (12)
Comprehensive above analysis, the revenue function Y of control zone iiFor:
Yi=CSi-CCi (13)
About core: alliance S distributes to the income sum of all control zones can not be less than the total revenue of this alliance, i.e. Otherwise in alliance, member can depart from Major Leagues and individually sets up little alliance, this be referred to as cooperative game (N, v)
Alliance's rationality.The distribution of income vector meeting alliance's rationality is that (it meets individual rationality, collective for N, core v) in cooperative game
Rationality and alliance's rationality, be that all allied members are all without the allocative decision opposed.Core is probably empty set, even if not being empty set,
Core distribution is not general the most unique, therefore, it is difficult to coordinate to control the solution of economic benefit distribution as AGC.
About Shapley value: Shapley value is the efficient solution of cooperative game, according to its thought, control zone i should get
Income equal to this control zone to each the meansigma methods of the contributrion margin of its participated in alliance, be shown below:
Wherein: s represents the number of control zone, s in S！(n-s-1)！/n！Represent the probability that sequence occurs.
Shapley value is the unique value solution of cooperative game, can coordinate to control the solution of economic benefit distribution as AGC.
About kernel: the basic thought of kernel is: when distribution of income vector belongs to kernel, least preferably alliance is also excellent
Least preferably alliance in other all allocation vector.Definition index exceeds to assess S to x satisfaction property:
Beyond e, (S, size x) reflects S to x satisfaction property, and (S, x) the biggest, S is the most dissatisfied to x for e.For an x,
S has 2NIndividual, S can be expressed asj, j=1,2 ..., 2N.X satisfaction property is depended on e (S by alliancej, x), j=1,2 ..., 2NIn
Maximum.E (Sj, x) descending arrangement, obtain one 2NVector, note θ (x) be:
E (S in formulaj, x) meet:
θ (x) is the least, and alliance is the most satisfied to x.If y and z is two m dimensional vectors, and y ≠ z, ykAnd zkIt is the first of two vectors
Individual different component, if yk<zkThen claim y to press lexicographic order less than z, use symbolRepresent.For cooperative game (N, v),
Kernel γ makesThe solution procedure of kernel is to minimize maximum residual, then minimizes secondary little surplus
Remaining, the rest may be inferred.Can be represented by the formula:
Kernel is another very important solution of cooperative game, and it exists and unique, can coordinate to control warp as AGC equally
The solution of Ji benefits distribution.
B coefficient optimal design-aside principle
In interconnected network running, AGC pondage income just for cooperative game distribution of income point probability very
Little.During AGC coordinates to control, periodically update B coefficient and change each control zone and undertake the expense of frequency regulating duty outside this control
With, the integral benefit of each control zone being adjusted to the distribution of income point of cooperative game, implementing procedure figure is shown in Fig. 8.Step is as follows:
1) obtain system data, coordinate to control earnings pattern according to the AGC set up herein, rollably calculate each control zone
AGC pondage income and undertake the expense that frequency regulating duty spends outside control zone；
2) when | Δ f | is in combine regulation district, the actual AGC pondage income of each control zone and cooperative game are calculated
Distribution of income point, arranges the B coefficient of each control according to disturbance size and cooperative game earnings pattern, the overall receipts of each control zone
Benefit adjusts to the distribution of income point of cooperative game；
3) when | Δ f | is during at urgent regulatory region, distribute the B coefficient of each control zone according to fm capacity, and calculate this and disturb
The expense of the urgent frequency modulation in each control zone of disorder of internal organs.
In certain period of time tNIn (such as the same day or this month), ensure frequency quality by dynamically setting B coefficient, make each simultaneously
The income of control zone meets the distribution of interests principle of cooperative game.The fm capacity that there may be control zone is not enough to undertake distribution
Frequency regulating duty or control zone in the higher situation of frequency modulation resources costs, it may be considered that outwards fm capacity, control are bought in control zone
Sign deal contract between district processed in advance, and put on record at superior control centre, control centre examined when arranging B coefficient
Consider.
Simulation analysis: as a example by three control zone interconnected electric power systems, control zone A, B and C all use TBC control model, as
Shown in Fig. 9.On the basis of primary frequency modulation and AGC mathematical model, utilize MATLAB/Simulink emulation platform building interconnected network
Frequency time domain simulation model.
When assuming interconnected network failure-free operation to 5.0s, in the A of control zone, step produces the power shortage of 5%, this control
District can only provide the AGC pondage of 2%, and other control zone undisturbeds and AGC pondage are sufficient.Each control zone is set respectively
The situation putting different B coefficient emulates, and frequency changes as shown in Figure 4.Simulation results show described above and different B
Coefficient arranges the impact on frequency retrieval, has established theoretical basis for designing AGC based on dynamic B coefficient coordination control.
With certain three different regions realized load curve one day, generated output and Tie line Power plan and disturbance etc.
Data, as the sample calculation analysis data of tri-control zones of A, B, C, calculate the actual AGC pondage of this day each control zone respectively
Demand curve, as shown in Figure 10, the workload demand in this, as control zone each in frequency phantom changes.Assume each control zone
AGC pondage be set as the 3% of system peak load, respectively each control zone B coefficient is set to natural frequency characteristic system
Counting and dynamic change B coefficient carries out AGC coordination two kinds of scenes of control and carries out frequency emulation, Comparative result is as shown in Figure 5.Emulation knot
Fruit shows that AGC based on dynamic B coefficient coordinates all regulation resources controlling to make full use of system, preferably plays the whole network
The regulating power of AGC, maintains frequency stable.AGC pondage income according to each control zone of system data rolling calculation, when
| Δ f |, when being in combine regulation district, calculates the B coefficient of each control zone according to the income allocation model of cooperative game, and it sets song
Line is as shown in Figure 6.
Table 1 AGC pondage income
Three control zones total { A}, { B}, { C}, { A, B}, { A, C}, { B, C}, { A, B, C} seven kinds combinations, it is assumed that respectively control
AGC pondage cost in district processed is 500 yuan/MW.h, calculates the AGC pondage under this day various alliances according to example data
Income, as shown in table 1.It can be seen that each control zone obtains income, three control zones because of the most standby AGC pondage that arranges less
Alliance is bigger than the income that two control zone alliances obtain.
For ensure cooperative alliances stability, income must between three control zones reasonable distribution.By drawing,
The shaded area that in Fig. 7, ABCDEF is surrounded is the core of cooperative game, and solution is the most uniquely difficult to the solution as cooperative game.Root respectively
The Shapley value of cooperative game and kernel is calculated according to formula (14), (18), point as represented by Fig. 7 intermediate cam shape (202.771,
201.228,199.262) shown in the point (202.730,200.977,199.556) and represented by five-pointed star.
In Fig. 7, stain (197.719,200.805,204.738) represents the actual AGC pondage distribution of income of each control zone
Point, adjusts B coefficient and changes each control zone and undertake the expense of frequency regulating duty outside this control zone, make each control zone integral benefit meet
The distribution of income principle of cooperative game.This day, frequency modulation expense was 16.950 ten thousand yuan, dynamically sets B during AGC coordinates to control
Outside this control zone that during coefficient, each control zone undertakes, frequency regulating duty expense is as shown in table 2, the overall receipts of each control zone
Benefit is the distribution of income point of cooperative game.
Table 2 frequency regulating duty expense allocation
Shapley value and kernel are cooperative game allocation result under distinct principle, have different good natures, do not have
It is necessary to select one of them solution as cooperative game.Because cooperative game is without the concept of Unified, solution is not had to meet
Everyone is for the understanding of " fair ".The solution of Shapley value and this two big cooperative game of kernel respectively with utilitarianism and average
Doctrine is corresponding.
The present invention is that the AGC ensureing frequency and the control effect of dominant eigenvalues and Appropriate application the whole network regulates resource, carries
Go out a kind of interconnected network AGC theoretical based on cooperative game to coordinate to control.The operating TBC of interconnected network AGC is used to control
Pattern, carries out grade classification according to the size of frequency departure absolute value to system running state, and grade difference control zone frequency is inclined
The setting means of difference coefficient is different, it is achieved the cooperation that between regional power grid, AGC controls.Establish during AGC coordinates to control and respectively control
The mathematical model of district processed income, arranges cost model that AGC pondage saved less including the most standby and undertake control zone
Outside the cost model that spent of frequency regulating duty, when system is in associating frequency modulation district, use the Shapley value of cooperative game with
The nucleolus undertakes frequency regulating duty to the income of each control zone by the method adjustment of periodically-varied frequency bias coefficient and is spent
The expense taken, it is achieved the optimized distribution of each control zone income.Three control zone interconnected electric power systems are used to emulate, result verification
The effectiveness controlled is coordinated based on the interconnected network AGC that cooperative game is theoretical.
Although the detailed description of the invention of the present invention is described by the above-mentioned accompanying drawing that combines, but not the present invention is protected model
The restriction enclosed, one of ordinary skill in the art should be understood that on the basis of technical scheme, and those skilled in the art are not
Need to pay various amendments or deformation that creative work can make still within protection scope of the present invention.
Claims (10)
1., based on the interconnected network frequency bias coefficient establishing method that cooperative game is theoretical, it is characterized in that, including:
Interconnected network Automatic Generation Control uses TBC control model during running；
It is divided into different brackets, the B coefficient setting means of each control zone under different brackets according to frequency departure big wisp running status
Different；
When combining frequency modulation district, change the B coefficient of each control zone periodically according to the Shapley of cooperative game and the nucleolus,
The income of each control zone is optimized and revised the distribution of income point of cooperative game.
A kind of interconnected network frequency bias coefficient establishing method theoretical based on cooperative game, its
Feature is, interconnected network Automatic Generation Control is for coordinating to control, and each control zone periodically calculates the AGC unit regulation of this control zone
Ability, real-time report is to superior control centre, and control centre periodically calculates B coefficient, is assigned to each control zone.
A kind of interconnected network frequency bias coefficient establishing method theoretical based on cooperative game, its
Feature is, above-mentioned according to frequency departure, and the big wisp running status of | Δ f | is divided into different brackets, the B of each control zone under different brackets
Coefficient setting means is different, is embodied in:
| Δ f | in dead band, i.e. 0≤| Δ f |≤| Δ f |DTime, in system, all AGC units are all failure to actuate；
| Δ f | in normal regulating district, i.e. | Δ f |D<|Δf|≤|Δf|NTime, each control zone is all made with natural frequency characteristic coefficient β
For B coefficient, frequency modulation frequency modulation is responsible for control by perturbing area oneself, and the primary frequency modulation power support capacity provided other control zones is complete
Full compensation；
| Δ f | in combine regulation district, i.e. | Δ f |N<|Δf|≤|Δf|CTime, control centre is according to disturbance size and each control zone
Frequency regulating duty calculate B index variation amount Δ Bi, it is issued to each control zone, is B its B coefficient modifyingi+ΔBi, fast quick-recovery frequency
Rate；
| Δ f | at urgent regulatory region, i.e. | Δ f | > | Δ f |CTime, control centre calculates each control zone B according to fm capacityi, make be
All of AGC unit of uniting all participates in frequency modulation by fm capacity, prevents collapse of frequency；
Wherein, | Δ f |DIt is the first setting value, | Δ f |NIt is the second setting value, | Δ f |CIt is the 3rd setting value, and value | Δ f |D<|
Δf|N<|Δf|C。
A kind of interconnected network frequency bias coefficient establishing method theoretical based on cooperative game, its
Feature is, above-mentioned B coefficient setting principle is:
B coefficient represents the AGC frequency regulating duty that control zone undertakes, and when B coefficient is arranged more than natural frequency characteristic coefficient, its value is the biggest
Represent that the frequency regulating duty outside this control zone that control zone undertakes is the biggest.When | Δ f | is in combine regulation district, Δ BiSetting should
Ensure the fair allocat of income during whole AGC coordinates to control.
A kind of interconnected network frequency bias coefficient establishing method theoretical based on cooperative game, its
Feature is, during AGC coordinates to control, the income of each control zone is mainly made up of two parts: the most standby AGC that arranges less adjusts
The joint expense saved of capacity and the expense that frequency regulating duty is spent outside undertaking control zone.
A kind of interconnected network frequency bias coefficient establishing method theoretical based on cooperative game, its
Feature is, changes the B coefficient of each control zone periodically according to the Shapley of cooperative game and the nucleolus, each control zone
Income optimizes and revises the distribution of income point of cooperative game, needs to set up the income allocation model of cooperative game.
A kind of interconnected network frequency bias coefficient establishing method theoretical based on cooperative game, its
Feature is, the income allocation model of cooperative game, during setting up, makes N={1,2 ..., n} represents interconnected network control zone
Set, n is control zone number, AGC coordinate control Cooperative reference can with have ordinal number to (N, v) represent, wherein v be spy
Levy function, be fromTo set of real numbers RNMapping, S is the subset of N, and v (S) refers to that in alliance S, each control zone carries out AGC
Coordinate to control produced income, v (φ)=0.
A kind of interconnected network frequency bias coefficient establishing method theoretical based on cooperative game, its
Feature is, characteristic function is meant that: to any possible control zone set S, have income v produced by cooperating
(S), it is clear that forS ∩ T=φ, must have v (S)+v (T)≤v (S ∪ T), i.e. (N is v) to surpass to add in cooperative game
, this is the essential condition of each control zone cooperation.
A kind of interconnected network frequency bias coefficient establishing method theoretical based on cooperative game, its
Feature is, if vector x ∈ RNRepresent the distribution of income vector of game when control zone collection is combined into N, xiRepresent and distribute to control zone i ∈ N
Income, cooperative game meets two basic assumptions:
1) cooperative game (N, distribution of income vector x ∈ R v)NMeeting individual rationality, the most each control zone can obtain ratio and be not added with
Enter the more income of alliance, forThere is x (i) >=v (i).
2) cooperative game (N, distribution of income vector x ∈ R v)NMeeting collective rationality, in the most each alliance, each control zone is got
Income sum is equal to the total revenue of alliance,
A kind of interconnected network frequency bias coefficient establishing method theoretical based on cooperative game, its
Feature is, B coefficient optimal design-aside principle:
During AGC coordinates to control, periodically update B coefficient and change each control zone and undertake the expense of frequency regulating duty outside this control
With, the integral benefit of each control zone being adjusted to the distribution of income point of cooperative game, step is as follows:
1) obtaining system data, coordinate to control earnings pattern according to the AGC set up, the AGC rollably calculating each control zone adjusts
The expense that outside saving capacity gain and undertaking control zone, frequency regulating duty spends；
2) when | Δ f | is in combine regulation district, actual AGC pondage income and the income of cooperative game of each control zone is calculated
Distributing point, arranges the B coefficient of each control according to disturbance size and cooperative game earnings pattern, the integral benefit of each control zone to
The distribution of income point of cooperative game adjusts；
3) when | Δ f | is during at urgent regulatory region, distribute the B coefficient of each control zone according to fm capacity, and calculate in this disturbance
The expense of the urgent frequency modulation in each control zone.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110417031A (en) * | 2019-07-05 | 2019-11-05 | 国电南瑞科技股份有限公司 | A kind of automatic electricity generation control system frequency bias coefficient segmentation setting method |
| CN110417031B (en) * | 2019-07-05 | 2021-06-11 | 国电南瑞科技股份有限公司 | Method for sectionally setting frequency deviation coefficient of automatic power generation control system |
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| CN110896220B (en) * | 2019-12-05 | 2020-12-22 | 国网青海省电力公司经济技术研究院 | Interruptible load optimization control method based on cooperative game kernel method |
| CN111311033A (en) * | 2020-04-24 | 2020-06-19 | 广东卓维网络有限公司 | Electricity selling company electric quantity deviation control system based on electric quantity mutual insurance evaluation |
| CN117277358A (en) * | 2023-11-23 | 2023-12-22 | 国网山西省电力公司电力科学研究院 | Wind, light, water and fire multi-source frequency modulation method based on master-slave game and improved Shapley value method |
| CN117277358B (en) * | 2023-11-23 | 2024-02-02 | 国网山西省电力公司电力科学研究院 | Wind, light, water and fire multi-source frequency modulation method based on master-slave game and improved Shapley value method |
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