CN107844055A - A kind of cold, heat and electricity triple supply micro-grid system optimizing operation method based on game theory - Google Patents
A kind of cold, heat and electricity triple supply micro-grid system optimizing operation method based on game theory Download PDFInfo
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Abstract
The invention discloses a kind of cold, heat and electricity triple supply microgrid optimizing operation method based on game theory, it is proposed on the premise of cool and thermal power balancing the load is met, optimization aim is up to the comprehensive income that microgrid is run, using microgrid power capability, the quality of power supply and system reliability as constraints, build microgrid model, each game element in microgrid is determined, the object function of microgrid optimization operation is established and is solved, so as to the microgrid operating scheme optimized.Advantage：This method can be to the microgrid containing cold, heat and electricity triple supply management and running scheme optimize, greatly increase the comprehensive income of micro-grid system；The deficiency in terms of current cold, heat and electricity triple supply microgrid Optimized Operation operation is compensate for a certain extent, is advantageous to system, objectively analyzes the on-road efficiency of microgrid project, is provided reference to optimize the operation of microgrid engineering, is promoted the development of CCHP microgrids.
Description
Technical field
The present invention relates to a kind of cold, heat and electricity triple supply micro-grid system optimizing operation method based on game theory, belong to power train
System planning and running technology field.
Background technology
It is continuously increased with the development and energy resource consumption of society, the problems such as fossil energy shortage and environmental pollution increasingly
Seriously, microgrid is developed rapidly.Wherein, cold, heat and electricity triple supply (CCHP) microgrid has turned into improves energy efficiency and subtracts
One of Core Solution of few greenhouse gas emission.
CCHP microgrids are effectively combined into as a kind of distributed energy mode of management by CCHP systems and micro-capacitance sensor.
CCHP microgrids are whole by TRT, gas fired-boiler, heat recovery system, energy storage device, refrigeration plant, regenerative resource and main power network
An entirety is combined into realize the cascade utilization of the energy, improves energy utilization rate, while can also effectively adjust natural gas, electric power
Seasonal peaks and troughs it is poor, be supplement indispensable in energy resource structure.Simultaneously as CCHP microgrids, which have, integrates regenerative resource
The characteristics of, compared to independent CCHP systems or micro-capacitance sensor, there is new and more powerful function.
Cold and hot electric load and regenerative resource are included simultaneously in CCHP microgrids, the output of regenerative resource has fluctuation,
Close coupling relation between three kinds of energy of cool and thermal power be present, and it is closely relevant with prime mover characteristic.Therefore, CCHP microgrids are one multiple
Miscellaneous system, it has many uncertain, various structures and strong coupling, its optimize traffic control method also with its
He has relatively big difference by microgrid.At present, the use of CCHP microgrids is increased substantially in global range, and CCHP microgrids are optimized and transported
Capable research turns into focus.
Game theory (Game Theory), is both a Ge Xin branches of modern mathematics, and important of operational research
Section, it is intended to solve the relation of vying each other between different subjects, by considering predictive behavior individual in game and agenda,
To study their optimisation strategy, gained Nash Equilibrium Solution is the mutual peak optimization reaction in game side.It is substantially general in game theory
Thought includes game side, action, information, strategy, income, equilibrium and result etc..Wherein game side, strategy and income are most basic want
Element.Game theory has become one of economic standard analytical tools at present, finance, security, biology, economics,
Electric automatization, computer science, military strategy and other many subjects are all widely used.
Game theory breaches in conventional Multipurpose Optimal Method and system element is regarded as " dead ", passive object idea,
The concept with competition, cooperation and adaptability has been introduced, has gone to recognize from the competition between system element and the interactive effect of cooperation
Know and describe the behavior of complication system, so as to solve multi-objective optimization question.
The content of the invention
The technical problems to be solved by the invention are the defects of overcoming prior art, there is provided a kind of based on the cold and hot of game theory
Electric trilogy supply micro-grid system optimizing operation method, optimization aim is up to the comprehensive income that microgrid is run, put down with microgrid energy
Weighing apparatus, the quality of power supply and system reliability are constraints, build microgrid model, determine that each game element, foundation are based in microgrid
The microgrid optimization operational objective function of game theory is simultaneously solved, so as to the microgrid operating scheme optimized.This method can be right
Microgrid management and running scheme containing cold, heat and electricity triple supply optimizes, and greatly increases the comprehensive income of micro-grid system.The present invention
The deficiency in terms of current cold, heat and electricity triple supply microgrid Optimized Operation operation is compensate for a certain extent, is advantageous to system, objective
The on-road efficiency of microgrid project is analyzed on ground, and reference is provided to optimize the operation of microgrid engineering, promotes the microgrid marketization, industrialization hair
Exhibition.
In order to solve the above technical problems, the present invention provides a kind of cold, heat and electricity triple supply microgrid optimization operation based on game theory
Method, it is characterized in that, comprise the following steps：
Step 1：Microgrid model is built, and the game element in micro-grid system is analyzed；
Step 2：Analysis based on step 1, establish the CCHP microgrid optimal operation models based on game theory：
Wherein, E (x) is the comprehensive income of whole CCHP microgrids operation；G (x) is equality constraint；S (x) is inequality
Constraints, s are the lower limit of inequality constraints condition,For the upper limit of inequality constraints condition；xp,
xw,xg,xbPhotovoltaic generating system, wind generator system, CCHP systems, the operation reserve of energy-storage system are represented respectively；
Step 3：Establish the comprehensive income letter of economic well-being of workers and staff in foundation microgrid, environmentally friendly income, operation and maintenance expenses use and fuel cost
Number, game solution is carried out based on iterative strategy, draws stable Nash Equilibrium Solution；
Step 4：Analyze the operation reserve in each micro- source in microgrid after game, draw CCHP microgrids optimization operating scheme and should
The comprehensive income that microgrid is run under scheme.
Further, in the step 1：
Step 1-1 builds microgrid model, selects photovoltaic generating system, wind generator system, energy-storage system and CCHP systems
As micro- source, the wherein micro- source of photovoltaic generating system, wind generator system only exports electric flux, CCHP systems can export simultaneously it is cold,
Heat, electric three kinds of energy, energy-storage system include three kinds of stored energy forms of cool and thermal power, may be used also while fluctuation for stabilizing system self-energy
Store the unnecessary energy；
Step 1-2 game elements are analyzed, and each micro- source in microgrid is accordingly to be regarded as into game participant in the present invention, is designated as i,
I=1,2 ... n；The running situation in each micro- source is game strategies, is designated as Mi, M={ M1,M2,...Mn, M runs plan for each micro- source
Set slightly；The comprehensive income of each micro- source operation is designated as Ei, i=1,2 ... n；Balance policy be system gaming after obtained by
Optimized operation strategy.
Further, in the step 2：
The comprehensive income function of step 2-1CCHP microgrids operation is designated as：
In formula, eiThe absolute benefit of itself, e when taking certain action strategy for game side iijTaken action plan for game side i
The income of other game sides when slightly；λiiFor weight system, its value reacts cooperation between each game person and competing
Strive degree, λiiValue is bigger, represents that the degree of cooperation is lower, competition extent is higher；Work as λiiWhen=1, represent between each game person only
In the presence of competition, betting model now will be converted to non-cooperative game model by Cooperative reference；
Equality constraint in step 2-2CCHP microgrids refers to the energy balance constraint of system；Inequality constraints condition master
To include the voltage of system, frequency security runs constraint, the energy supply of distributed power source units limits, CCHP systems constrains, energy storage is held
Amount constraint and PCC points exchange power constraint.
Further, the microgrid energy Constraints of Equilibrium such as following formula：
P in formulaE、Pc、PHAvailable electric, the hot and cold energy in micro-grid power source side, P are represented respectivelyEL、PCL、PHLThen represent respectively
Demand of the microgrid load side to electric, the hot and cold energy.
Further, micro-grid system the safe operation constraint such as following formula：
[U in formulai,Uh]、[fi,fh] represent that microgrid can be with the voltage U of safe operation, frequency f sections respectively；Distributed electrical
Source units limits：
minPGi≤PGi≤maxPGi (5)
P in formulaGiRepresent the output of distributed power source.
Further, the CCHP systems energy supply constraint, the ratio and appearance of the cold and hot electric energy that CCHP systems can provide
Amount is closely related with prime mover characteristic, and formula f (e, c, h) represents the capacity and ratio of electric, hot and cold three kinds of energy of CCHP system outputs
Example, y (mt) represent capacity and the ratio constraint of electric, the hot and cold energy of prime mover of the system configuration, cooling/heating equipment output：
f(e,c,h)∈y(mt) (6)
Further, the stored energy capacitance constraint, using batteries to store energy, its capacity is represented by state-of-charge SOC, charged
State not only needs to meet bound, also to meet the relation of accumulator cell charging and discharging power and capacity.
In formula, UDCFor the DC bus-bar voltage of system, Δ t is the time of a discharge and recharge, PSjContributed for energy storage；
Further, the PCC points exchange power constraint：
Pmin≤P≤Pmax (8)
In formula, Pmin、PmaxPower respectively is exchanged with the minimum and maximum that major network is appointed, power is entered with micro-grid system
Direction is just.
Further, in the step 3：
Step 3-1 establishes the comprehensive income function of each game side in microgrid：
E=N-B (9)
In formula, N represents net profit during operation, and B represents the operation expense of microgrid.
N=Ne+Nc, wherein Ne are economics well-being of workers and staff, the electricity charge that economic well-being of workers and staff is paid by user, are converted for hot/cold expense
Arrive；Nc is environmentally friendly income, and environmentally friendly income is converted to obtain by carbon emission transaction cost；
B=Boe+Boh+Bom, Boe represent to expend, including fuel cost during micro-grid system self-operating；With grid-connected fortune
The electricity expense bought during row from major network is used；Boh represents labour cost；Bom represents the operating repairs expense of equipment；
Game derivation algorithms of the step 3-2 based on iterative strategy, is comprised the following steps that：
4) initial possible strategy C is generated at random in each game strategies space0={ C10,C20,...Cm0}；
5) C is rememberedi-1For the strategy set of other game sides in addition to game side i；Any i-th of game person, with the game person
Income EiFor target, fixed Ci-1It is constant, belonging to the policy space C of the game sideiInterior carry out single object optimization, ask optimal and determine
PlanOptimize game person's income；
6) strategy combination is madeResult after optimizing for game, examine C1Feasibility, it is such as discontented
Foot, turn 1)；If satisfied, calculating whether the distance between former and later two strategy combinations meet convergence criterion | | C1-C0| |≤ε, wherein
ε is arbitrary small number, and described distance is a kind of norm, if satisfied, then game terminates；If not satisfied, then with C1Replace C0, it is transferred to
2) it is iterated circulation；
Draw stable Nash Equilibrium Solution.
The beneficial effect that the present invention is reached：
1) uncertain, the strong coupling feature of CCHP microgrids so that both competitive between each micro- source in system or have
Cooperative.System call operating scheme is optimized based on game theory, more agrees with the unique characteristics of CCHP micro-grid systems, draws
Optimization operating scheme also it is more effective rationally；
2) method by introducing weight coefficient in betting model, the coupling between three kinds of energy of cool and thermal power is included
Optimized model, ensure that CCHP microgrids optimization operating scheme is on the basis of the strong coupling feature of CCHP microgrids has been taken into full account
Obtain, more meet running situation；
3) CCHP systems prime mover and cooling/heating device characteristics have been taken into full account, to hot and cold, the electric energy of its output
The constraint of capacity and ratio, it ensure that the feasibility of final optimization pass scheme.
Brief description of the drawings
Fig. 1 is the schematic flow sheet of the CCHP microgrid optimizing operation methods based on game theory.
Embodiment
The invention will be further described below in conjunction with the accompanying drawings.Following examples are only used for clearly illustrating the present invention
Technical scheme, and can not be limited the scope of the invention with this.
A kind of cold, heat and electricity triple supply (CCHP) microgrid optimizing operation method based on game theory, it is characterized in that, including it is following
Step：
Step 1：Microgrid model is built, and the game element in micro-grid system is analyzed；
Step 2：Analysis based on step 1, establish the CCHP microgrid optimal operation models based on game theory：
Wherein, E (x) is the comprehensive income of whole CCHP microgrids operation；G (x) is equality constraint；S (x) is inequality
Constraints, s are the lower limit of inequality constraints condition,For the upper limit of inequality constraints condition；xp,
xw,xg,xb... represent respectively micro- in the micro-grid systems such as photovoltaic generating system, wind generator system, CCHP systems, energy-storage system
The operation reserve in source.
Step 3：It is later that foundation has considered economic well-being of workers and staff in microgrid, environmentally friendly income, operation and maintenance expenses use and fuel cost
Comprehensive income function, game solution is carried out based on iterative strategy, draws stable Nash Equilibrium Solution；
Step 4：Analyze the operation reserve in each micro- source in microgrid after game, draw CCHP microgrids optimization operating scheme and should
The comprehensive income that microgrid is run under scheme.
As step 1 describes to build microgrid model in Fig. 1, and the game element in micro-grid system is analyzed；
Step 1-1 builds microgrid model, selects photovoltaic generating system, wind generator system, energy-storage system and cool and thermal power three
Alliance (CCHP) system only exports electric flux, CCHP systems as micro- source, wherein micro- source such as photovoltaic generating system, wind generator system
System can export hot and cold, electric three kinds of energy simultaneously, and energy-storage system is mainly used in stabilizing system power swing.
Step 1-2 game elements are analyzed, and each micro- source in microgrid is accordingly to be regarded as into game participant in the present invention, is designated as i,
I=1,2 ... n；The running situation in each micro- source is game strategies, is designated as Mi, M={ M1,M2,...Mn, M runs plan for each micro- source
Set slightly；The comprehensive income of each micro- source operation is designated as ei, i=1,2 ... n；Balance policy be system gaming after obtained by
Optimized operation strategy.
Step 2 describes to establish the CCHP microgrid optimal operation models based on game theory in accompanying drawing 1；
The comprehensive income function of step 2-1CCHP microgrids operation is designated as：
In formula, eiThe absolute benefit of itself, e when taking certain action strategy for game side iijTaken action plan for game side i
The income of other game sides when slightly；λiiFor weight system, its value reacts cooperation between each game person and competing
Strive degree, λiiValue is bigger, represents that the degree of cooperation is lower, competition extent is higher.Work as λiiWhen=1, represent between each game person only
In the presence of competition, betting model now will be converted to non-cooperative game model by Cooperative reference.
Equality constraint in step 2-2CCHP microgrids refers to the energy balance constraint of system；Inequality constraints condition master
To include safe operation constraint (voltage, frequency), distributed power source units limits, CCHP systems energy supply constraint, the energy storage of system
Capacity-constrained and PCC points exchange power constraint etc..
Microgrid energy Constraints of Equilibrium, P in formulaE、Pc、PHAvailable electric, the hot and cold energy in micro-grid power source side is represented respectively,
PEL、PCL、PHLDemand of the microgrid load side to electric, the hot and cold energy is then represented respectively：
Micro-grid system safe operation constrains, [U in formulal,Uh]、[fl,fh] represent that microgrid can be with the electricity of safe operation respectively
Pressure, frequency separation：
Distributed power source (DG) units limits：
minPGi≤PGi≤maxPGi
(5)
The energy supply constraint of CCHP systems, ratio and capacity and prime mover characteristic of the cold and hot electric energy that CCHP systems can provide
Closely related, formula f (e, c, h) represents the capacity and ratio of electric, hot and cold three kinds of energy of CCHP system outputs, and y (mt) is represented should
Capacity and the ratio constraint of electric, the hot and cold energy of prime mover of system configuration, cooling/heating equipment output：
f(e,c,h)∈y(mt) (6)
Stored energy capacitance is constrained, and by taking battery as an example, its capacity is represented by state-of-charge (SOC), and state-of-charge not only needs
Meet bound, also to meet the relation of accumulator cell charging and discharging power and capacity.
In formula, UDCFor the DC bus-bar voltage of system, Δ t is the time of a discharge and recharge, PSjContributed for energy storage.
PCC points exchange power constraint：
Pmin≤P≤Pmax (8)
In formula, Pmin、PmaxPower respectively is exchanged with the minimum and maximum that major network is appointed, power is entered with micro-grid system
Direction is just.
In accompanying drawing 1 step 3 describe to establish in microgrid considered economic well-being of workers and staff, environmentally friendly income, operation and maintenance expenses use and
The later comprehensive income function of fuel cost, and game solution is carried out based on iterative strategy, draw stable Nash Equilibrium Solution；
Step 3-1 establishes the comprehensive income function of each game side in microgrid：
E=N-B (9)
In formula, N represents net profit during operation, and B represents the operation expense of microgrid.
N=Ne+Nc, wherein Ne are economics well-being of workers and staff, can by user pay the electricity charge, for hot/cold expense, this draws；Nc
It is environmentally friendly income, environmentally friendly income is converted to obtain by carbon emission transaction cost.
B=Boe+Boh+Bom, Boe represent to expend, including fuel cost during micro-grid system self-operating is (such as natural
Gas etc.) and the electricity expense that receives from major network when being incorporated into the power networks use；Boh represents labour cost；Bom represents the operating repairs of equipment
Expense.
Game derivation algorithms of the step 3-2 based on iterative strategy, is comprised the following steps that：
1) initial possible strategy C is generated at random in each game strategies space0={ C10,C20,...Cm0}；
2) C is rememberedi-1For the strategy set of other game sides in addition to game side i；Any i-th (i=1,2 ... n) game
Person, with the income E of the game personiFor target, fixed Ci-1It is constant, belonging to the policy space C of the game sideiInterior carry out single goal
Optimization, asks best decisionOptimize game person's income；
3) strategy combination is madeResult after optimizing for game, examine C1Feasibility, it is such as discontented
1) foot, goes to step；If satisfied, calculating whether the distance between former and later two strategy combinations meet convergence criterion | | C1-C0||≤ε,
Wherein ε is arbitrary small number, and described distance is a kind of norm, if satisfied, then game terminates；If not satisfied, then with C1Replace C0,
It is transferred to step 2) and is iterated circulation；
4) stable Nash Equilibrium Solution is drawn.
Step 4 describes to analyze the operation reserve in each micro- source in microgrid after game in accompanying drawing 1, draws the excellent of CCHP microgrids
Change the comprehensive income that microgrid is run under operating scheme and the program.
Described above is only the preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art
For member, without departing from the technical principles of the invention, some improvement and deformation can also be made, these are improved and deformation
Also it should be regarded as protection scope of the present invention.
Claims (9)
1. a kind of cold, heat and electricity triple supply microgrid optimizing operation method based on game theory, it is characterized in that, comprise the following steps：
Step 1：Microgrid model is built, and the game element in micro-grid system is analyzed；
Step 2：Analysis based on step 1, establish the CCHP microgrid optimal operation models based on game theory：
Wherein, E (x) is the comprehensive income of whole CCHP microgrids operation；G (x) is equality constraint；S (x) is inequality constraints
Condition, s are the lower limit of inequality constraints condition,For the upper limit of inequality constraints condition；xp,xw,xg,
xbPhotovoltaic generating system, wind generator system, CCHP systems, the operation reserve of energy-storage system are represented respectively；
Step 3：Establish the comprehensive income function of economic well-being of workers and staff in foundation microgrid, environmentally friendly income, operation and maintenance expenses use and fuel cost, base
Game solution is carried out in iterative strategy, draws stable Nash Equilibrium Solution；
Step 4：The operation reserve in each micro- source in microgrid after game is analyzed, draws the optimization operating scheme and the program of CCHP microgrids
The comprehensive income of lower microgrid operation.
2. a kind of cold, heat and electricity triple supply microgrid optimizing operation method based on game theory according to claim 1, its feature
It is, in the step 1：
Step 1-1 builds microgrid model, selects photovoltaic generating system, wind generator system, energy-storage system and CCHP system conducts
Micro- source, wherein photovoltaic generating system, the micro- source of wind generator system only export electric flux, and CCHP systems can export hot and cold, electric simultaneously
Three kinds of energy, energy-storage system include three kinds of stored energy forms of cool and thermal power, can also stored while fluctuation for stabilizing system self-energy
The unnecessary energy；
Step 1-2 game elements are analyzed, and each micro- source in microgrid is accordingly to be regarded as into game participant in the present invention, is designated as i, i=
1,2,...n；The running situation in each micro- source is game strategies, is designated as Mi, M={ M1,M2,...Mn, M is each micro- source operation reserve
Set；The comprehensive income of each micro- source operation is designated as Ei, i=1,2 ... n；Balance policy be system gaming after obtained by most
Excellent operation reserve.
3. a kind of cold, heat and electricity triple supply microgrid optimizing operation method based on game theory according to claim 1, its feature
It is, in the step 2：
The comprehensive income function of step 2-1CCHP microgrids operation is designated as：
In formula, eiThe absolute benefit of itself, e when taking certain action strategy for game side iijFor game side i take action strategy when
The income of other game sides；λiiFor weight system, its value reacts the cooperation and competition journey between each game person
Degree, λiiValue is bigger, represents that the degree of cooperation is lower, competition extent is higher；Work as λiiWhen=1, represent to only exist between each game person
Competition, betting model now will be converted to non-cooperative game model by Cooperative reference；
Equality constraint in step 2-2CCHP microgrids refers to the energy balance constraint of system；Inequality constraints condition is mainly wrapped
Include the voltage of system, frequency security runs constraint, distributed power source units limits, CCHP systems energize constraint, stored energy capacitance about
Beam and PCC points exchange power constraint.
4. a kind of cold, heat and electricity triple supply microgrid optimizing operation method based on game theory according to claim 3, its feature
It is the microgrid energy Constraints of Equilibrium such as following formula：
P in formulaE、Pc、PHAvailable electric, the hot and cold energy in micro-grid power source side, P are represented respectivelyEL、PCL、PHLMicrogrid is then represented respectively
Demand of the load side to electric, the hot and cold energy.
5. a kind of cold, heat and electricity triple supply microgrid optimizing operation method based on game theory according to claim 3, its feature
It is micro-grid system the safe operation constraint such as following formula：
[U in formulai,Uh]、[fi,fh] represent that microgrid can be with the voltage U of safe operation, frequency f sections respectively；Distributed power source is contributed
Constraint：
minPGi≤PGi≤maxPGi (5)
P in formulaGiRepresent the output of distributed power source.
6. a kind of cold, heat and electricity triple supply microgrid optimizing operation method based on game theory according to claim 3, its feature
It is the CCHP systems energy supply constraint, ratio and capacity and prime mover characteristic of the cold and hot electric energy that CCHP systems can provide
Closely related, formula f (e, c, h) represents the capacity and ratio of electric, hot and cold three kinds of energy of CCHP system outputs, and y (mt) is represented should
Capacity and the ratio constraint of electric, the hot and cold energy of prime mover of system configuration, cooling/heating equipment output：
f(e,c,h)∈y(mt) (6)。
7. a kind of cold, heat and electricity triple supply microgrid optimizing operation method based on game theory according to claim 3, its feature
It is that the stored energy capacitance constraint, using batteries to store energy, its capacity is represented by state-of-charge SOC, and state-of-charge not only needs full
Sufficient bound, also to meet the relation of accumulator cell charging and discharging power and capacity.
In formula, UDCFor the DC bus-bar voltage of system, Δ t is the time of a discharge and recharge, PSjContributed for energy storage.
8. a kind of cold, heat and electricity triple supply microgrid optimizing operation method based on game theory according to claim 3, its feature
It is that the PCC points exchange power constraint：
Pmin≤P≤Pmax (8)
In formula, Pmin、PmaxPower respectively is exchanged with the minimum and maximum that major network is appointed, power direction is entered with micro-grid system
For just.
9. a kind of cold, heat and electricity triple supply microgrid optimizing operation method based on game theory according to claim 1, its feature
It is, in the step 3：
Step 3-1 establishes the comprehensive income function of each game side in microgrid：
E=N-B (9)
In formula, N represents net profit during operation, and B represents the operation expense of microgrid.
N=Ne+Nc, wherein Ne are economics well-being of workers and staff, the electricity charge that economic well-being of workers and staff is paid by user, for hot/cold expense convert to obtain；Nc
It is environmentally friendly income, environmentally friendly income is converted to obtain by carbon emission transaction cost；
B=Boe+Boh+Bom, Boe represent to expend, including fuel cost during micro-grid system self-operating；During with being incorporated into the power networks
The electricity expense bought from major network is used；Boh represents labour cost；Bom represents the operating repairs expense of equipment；
Game derivation algorithms of the step 3-2 based on iterative strategy, is comprised the following steps that：
1) initial possible strategy C is generated at random in each game strategies space0={ C10,C20,...Cm0}；
2) C is rememberedi-1For the strategy set of other game sides in addition to game side i；Any i-th of game person, with the receipts of the game person
Beneficial EiFor target, fixed Ci-1It is constant, belonging to the policy space C of the game sideiInterior carry out single object optimization, asks best decisionOptimize game person's income；
3) strategy combination is madeResult after optimizing for game, examine C1Feasibility, be such as unsatisfactory for, turn
1)；If satisfied, calculating whether the distance between former and later two strategy combinations meet convergence criterion | | C1-C0| |≤ε, wherein ε are to appoint
Meaning decimal, described distance is a kind of norm, if satisfied, then game terminates；If not satisfied, then with C1Replace C0, it is transferred to and 2) carries out
Iterative cycles；
Draw stable Nash Equilibrium Solution.
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Cited By (12)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN108491976A (en) * | 2018-03-29 | 2018-09-04 | 华南理工大学 | A kind of micro- energy net multiple target progress control method |
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| CN108491976A (en) * | 2018-03-29 | 2018-09-04 | 华南理工大学 | A kind of micro- energy net multiple target progress control method |
| CN110322092B (en) * | 2018-03-30 | 2022-09-27 | 南京理工大学 | Source-network-load multi-layer game economic dispatching method |
| CN108510122A (en) * | 2018-03-30 | 2018-09-07 | 中国电建集团福建省电力勘测设计院有限公司 | The integrated energy system optimization method of optimal double constraints is utilized based on environmental emission, hot * |
| CN110322092A (en) * | 2018-03-30 | 2019-10-11 | 南京理工大学 | One provenance net lotus multiplayer gaming economic load dispatching method |
| CN108510122B (en) * | 2018-03-30 | 2021-08-31 | 中国电建集团福建省电力勘测设计院有限公司 | Comprehensive energy system optimization method based on optimal double-constraint condition |
| CN108964017A (en) * | 2018-06-05 | 2018-12-07 | 东南大学 | A kind of distributed energy interacted system cost distribution method based on cooperative game |
| CN109884888A (en) * | 2018-12-30 | 2019-06-14 | 国网天津市电力公司电力科学研究院 | A kind of more building microgrid model predictions regulation method based on non-cooperative game |
| CN109884888B (en) * | 2018-12-30 | 2023-03-03 | 国网天津市电力公司电力科学研究院 | Multi-building micro-grid model prediction regulation and control method based on non-cooperative game |
| CN111461443A (en) * | 2020-04-07 | 2020-07-28 | 上海电气风电集团股份有限公司 | Optimal design method and system for wind power plant, electronic device and storage medium |
| CN111461443B (en) * | 2020-04-07 | 2022-11-08 | 上海电气风电集团股份有限公司 | Optimal design method and system for wind power plant, electronic device and storage medium |
| CN112069734A (en) * | 2020-09-04 | 2020-12-11 | 华北电力大学 | Optimal regulation and control method and system for electric heat pump-thermoelectric combined system |
| CN112202206A (en) * | 2020-09-10 | 2021-01-08 | 上海大学 | Multi-energy micro-grid distributed scheduling method based on potential game |
| CN112529728A (en) * | 2020-11-24 | 2021-03-19 | 华能定边新能源发电有限公司 | Non-cooperative game-based comprehensive energy system optimization scheduling method |
| CN112529728B (en) * | 2020-11-24 | 2024-09-24 | 华能定边新能源发电有限公司 | Comprehensive energy system optimal scheduling method based on non-cooperative game |
| CN112394643B (en) * | 2020-11-27 | 2021-11-09 | 大连理工大学 | Scheduling method and system for thermoelectric system of iron and steel enterprise and computer readable storage medium |
| CN112394643A (en) * | 2020-11-27 | 2021-02-23 | 大连理工大学 | Scheduling method and system for thermoelectric system of iron and steel enterprise and computer readable storage medium |
| CN116957139A (en) * | 2023-06-28 | 2023-10-27 | 湖南大学 | Multi-comprehensive-energy microgrid optimal operation method and system considering carbon transaction among microgrids |
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