CN110135007A - A kind of electric energy supersedure effect analysis method based on multi-party cooperative game - Google Patents

A kind of electric energy supersedure effect analysis method based on multi-party cooperative game Download PDF

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CN110135007A
CN110135007A CN201910315901.2A CN201910315901A CN110135007A CN 110135007 A CN110135007 A CN 110135007A CN 201910315901 A CN201910315901 A CN 201910315901A CN 110135007 A CN110135007 A CN 110135007A
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electric energy
game
project
formula
supersedure
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刘可真
王骞
骆钊
和婧
刘通
卢涛
刘兴琳
苟家萁
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Kunming University of Science and Technology
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Kunming University of Science and Technology
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q50/00Systems or methods specially adapted for specific business sectors, e.g. utilities or tourism
    • G06Q50/06Electricity, gas or water supply
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00Details relating to CAD techniques
    • G06F2111/04Constraint-based CAD

Abstract

The electric energy supersedure effect analysis method based on multi-party cooperative game that the invention discloses a kind of, it is first determined each side's relationship of game participant in electric energy substitution project determines game point;Using the expense of subsidizing, number of users, electricity rates as decision content, the decision duration set of each game participant in game is constructed;Consider the key factors such as income and cost, fund discount rate, project operation service life in electric energy substitution project game, establishes the revenue function of game participant, while determining equation and inequality constraints condition, building forms electric energy supersedure effect betting model;It carries out solving electric energy supersedure effect betting model using interactive mode II algorithm of NSGA- is improved, in addition, obtaining Nash equilibrium solution on solving the obtained face Pareto, refines the optimisation strategy of each game participant.The present invention takes into account the dynamic change of economic benefit and environmental benefit using the benefitsharing problem in multi-party cooperative theory of games analysis electric energy substitution project, substitutes project development for actual electric energy and provides theory support and reference value.

Description

A kind of electric energy supersedure effect analysis method based on multi-party cooperative game
Technical field
The present invention relates to electric energy substitute technology fields, specifically, in particular to a kind of electricity based on multi-party cooperative game It can supersedure effect analysis method.
Background technique
With consuming excessively for global fossil energy, the problem of energy shortage at present and environmental pollution, is increasingly prominent.The whole world Various countries determine " unalterable quota " for reducing carbon emission jointly, and European Countries have formulated the timetable that fuel-engined vehicle is withdrawn from the market thus. China, which explicitly points out, to account for final energy consumption specific gravity to improve electric energy, raising electric energy accounts for consumption of coal specific gravity, it is renewable to improve The energy accounts for electricity consumption specific gravity, and 2016-2020 realizes that electric energy accounts for final energy consumption specific gravity and reaches about 27%, according to different electricity Can alternative technical and economic characteristic, adaptation to local conditions gradually expands electric energy alternate range, forms cleaning, safe, intelligent new Type energy-consuming mode, and propose to carry out appropriateness, reasonable compensation to electric energy substitution project.
China's ecological energy outstanding problem, environmental bearing capacity have reached and close to the upper limit, solve fossil energy burning Bring emission problem is very urgent, carries out reasonable compensation to electric energy substitution project, is conducive to improve efficiency of energy utilization, more preferably Ground promotes clean energy resource development and improves electrified level, analyzes the electric energy supersedure effect based on multi-party cooperative game, Cai Nengshi The benefit generated in existing electric energy substitution is reasonably shared equally, and the commercialization in electric energy substitution field is accelerated, and then electric energy is pushed to replace For project economic, development rationally, scientific.
Summary of the invention
The technical problems to be solved by the present invention are: proposing a kind of electric energy supersedure effect analysis based on multi-party cooperative game Method, determine user group by substitution quantitative decision, the electricity price pricing decision of the subsidy decision of government and power grid enterprises, meeting While electric power netting safe running and electric network reconstruction economy, government, power grid enterprises and the target with group's maximum revenue are realized.
In order to solve the above technical problems, a kind of electric energy supersedure effect analysis based on multi-party cooperative game proposed by the present invention Method the following steps are included:
Step 10) combs each side's relationship of game participant in electric energy substitution project game, determines game point;
Step 20) is based on multi-party cooperative game, constructs game participant decision duration set;
Step 30) considers dynamic benefit fluctuation, establishes electric energy supersedure effect betting model;
Step 40) solves electric energy supersedure effect betting model using interactive mode II algorithm of NSGA- is improved, in different scenes Under, obtain Nash equilibrium solution.
In the step 10), the game participant includes user group, power grid enterprises and government, using in set P Element PiIndicate the game participant in electric energy substitution project, specifically as shown in formula (1):
P={ P1,P2,P3…Pn} (1)
Electric energy substitution project brings benefits after carrying out, and benefit becomes the interests contradiction point in game, and mathematical form indicates As shown in formula (2):
Rij, i=1,2,3 ... n, j=1,2,3 ... n (2)
RijIndicate the benefit contradiction point between game participant i, j, i.e. the game point of game participant i, j;
Electric energy substitutes in project game shown in the integrating representation such as formula (3) of the game point of game participant:
RMWhole benefits in electric energy substitution project are indicated, from the sum of the benefit contradiction point of game participant, RijFor The game point of game participant i, j.
In the step 20), in electric energy substitution project shown in government decision duration set such as formula (4):
ΩgIt include two clock decision variables, S for decision duration set of the government in electric energy substitution projectconsIt is annual for government Subsidy expense, S are substituted to each electric energy for being modified user groupgridElectric energy alternatives are participated in power grid enterprises for government's jth year The subsidy expense of planar network architecture is matched in transformation in mesh;
User group is as the main body in electric energy substitution project, shown in decision duration set such as formula (5):
ΩconsFor decision duration set of the user group in electric energy substitution project,Received electric energy in user group for 1 year to replace The number of users of generation transformation;
Power grid enterprises carry out decision to electricity price in electric energy substitution project, shown in decision duration set such as formula (6):
ΩgridFor decision duration set of the power grid enterprises in electric energy substitution project,It is power grid enterprises to by substitution user j The electricity rates collected.
In the step 30), the electric energy substitution income and cost of each game participant in game are paid close attention to, considers fund discount Rate and project operation service life, building electric energy supersedure effect betting model are as follows:
Government's revenue function and constraint condition:
Sgrid=eθS′grid (8)
Q in formula (7)iTo substitute number of users, Licarbon is the carbon emission amount for substituting user's reduction, and P is that green is handed over Easy price, kj are government to user's penalty coefficient, and α is government to power grid enterprises' penalty coefficient in formula (8), reflect government to power grid Degree is inclined in the subsidy of enterprise, and θ is the scale coefficient of electric network reconstruction, and Scons and Sgrid are defined as above;Formula (9) is each variable Inequality constraints condition;
The revenue function and constraint condition of user group:
Δ M is that electric energy substitutes user's yield improving amount in formula (10), and R ' is unit product price after electric energy substitution, and R is electricity Unit product price before capable of substituting,For improvement cost coefficient, for measuring the different alternative costs by substitution user, CdIt is every A user changes the equipment cost with energy mode, I when carrying out electric energy substitutionpFor to by substitution user collect the electricity charge (member/ Kwh), QiFor 1 year electricity consumption (kwh) of user i after electric energy substitution, formula (11) is each variable inequality constraints condition;
Power grid enterprises' revenue function and constraint condition:
C in formula (12)AThe transformation of electric energy alternatives purpose distribution rack is participated in for power grid enterprises and construction cost, τ are annual interest Rate, TGFor the service life of power network line, N in formula (13)LNeed to expand 10kV overhead line structures number for electric energy replacement area, β is Networking coefficient, CT·kFor each shaft tower and between route construction cost, formula (14) be each variable inequality constraints condition;
After the game pattern of three game participants is formed, following electric energy substitution betting model is constructed:
In formula (15), arg max () is to make three maximum variables collections of game participant revenue function value, it is above most Excellent balance policy is both needed to meet (7), (8), (9), (10), (11), (12), (13), the equation of (14) and inequality constraints condition.
It is described that electric energy supersedure effect betting model is solved using improvement interactive mode II algorithm of NSGA- in the step 40) Specific step is as follows:
S4.1: to maximize benefit as objective function, game tripartite objective function is inputted;
S4.2: each game participant equation, inequality constraints are inputted;
S4.3: the total algebra of Evolution of Population is gen, evolutionary generation r=0;
S4.4: non-dominated ranking and crowding calculate;
S4.5: father, offspring individual merge;
S4.6: new population is generated, if so, step S4.7 is jumped to, if it is not, jumping to step S4.8
S4.7: selection, variation, crossover operation are taken to population.
S4.8: interactive non-dominated ranking calculates crowding, and generates new population, jump procedure S4.5.
S4.9: whether the total algebra gen of Evolution of Population is more than the upper limit, if so, S4.10 is jumped, if it is not, jump procedure
S4.10: generating the face Pareto, carries out Nash computable general equilibrium, terminates.
Compared with prior art, the invention has the following advantages that the present invention proposes a kind of electricity based on multi-party cooperative game Energy supersedure effect analysis method, it is therefore intended that improve electric energy accounting in energy user terminal, continuously optimize energy structure, this hair It is bright to carry out the efficiency problem generated for electric energy substitution project, according to benefited object and benefit main body, in power grid enterprises, user group Electric energy supersedure effect betting model is established with inter-governmental, which receives the number of users of electric energy substitution transformation, subsidy expense Decision content with electricity price as corresponding game participant, while objective function is quantified as with the income of three game participants, it asks The Nash equilibrium solution for taking electric energy supersedure effect betting model obtains optimal compensation, method energy provided by the invention under equilibrium solution The development of electricity market is enough effectively facilitated, and then pushes electric energy substitution project economic, development rationally, scientific.
Detailed description of the invention
Fig. 1 is the distribution schematic diagram of example noninferior solution;
Fig. 2 is the face the Pareto schematic diagram of basic example.
Specific embodiment
In order to make the object, technical scheme and advantages of the embodiment of the invention clearer, below in conjunction with the embodiment of the present invention In attached drawing, technical scheme in the embodiment of the invention is clearly and completely described, it is clear that described embodiment is A part of the embodiments of the present invention, instead of all the embodiments;Based on the embodiments of the present invention, ordinary skill people Member's every other embodiment obtained without creative efforts, shall fall within the protection scope of the present invention.
A kind of electric energy supersedure effect analysis method based on multi-party cooperative game proposed by the present invention the following steps are included:
Step 10) combs each side's relationship of game participant in electric energy substitution project game, determines game point;
Step 20) is based on multi-party cooperative game, constructs game participant decision duration set;
Step 30) considers dynamic benefit fluctuation, establishes electric energy supersedure effect betting model;
Step 40) solves electric energy supersedure effect betting model using interactive mode II algorithm of NSGA- is improved, in different scenes Under, obtain Nash equilibrium solution.
In the step 10), the game participant includes user group, power grid enterprises and government, using in set P Element PiIndicate the game participant in electric energy substitution project, specifically as shown in formula (1):
P={ P1,P2,P3…Pn} (1)
Electric energy substitution project brings benefits after carrying out, and benefit becomes the interests contradiction point in game, and mathematical form indicates As shown in formula (2):
Rij, i=1,2,3 ... n, j=1,2,3 ... n (2)
RijIndicate the benefit contradiction point between game participant i, j, i.e. the game point of game participant i, j;
Electric energy substitutes in project game shown in the integrating representation such as formula (3) of the game point of game participant:
RMWhole benefits in electric energy substitution project are indicated, from the sum of the benefit contradiction point of game participant, RijFor The game point of game participant i, j.
In the step 20), in electric energy substitution project shown in government decision duration set such as formula (4):
ΩgIt include two clock decision variables, S for decision duration set of the government in electric energy substitution projectconsIt is annual for government Subsidy expense, S are substituted to each electric energy for being modified user groupgridElectric energy alternatives are participated in power grid enterprises for government's jth year The subsidy expense of planar network architecture is matched in transformation in mesh;
User group is as the main body in electric energy substitution project, shown in decision duration set such as formula (5):
ΩconsFor decision duration set of the user group in electric energy substitution project,Received electric energy in user group for 1 year to replace The number of users of generation transformation;
Power grid enterprises carry out decision to electricity price in electric energy substitution project, shown in decision duration set such as formula (6):
ΩgridFor decision duration set of the power grid enterprises in electric energy substitution project,It is power grid enterprises to by substitution user j The electricity rates collected.
In the step 30), the electric energy substitution income and cost of each game participant in game are paid close attention to, considers fund discount Rate and project operation service life, building electric energy supersedure effect betting model are as follows:
Government's revenue function and constraint condition:
Sgrid=eθS′grid(8)
Q in formula (7)iTo substitute number of users, Licarbon is the carbon emission amount for substituting user's reduction, and P is that green is handed over Easy price, kj are government to user's penalty coefficient, and α is government to power grid enterprises' penalty coefficient in formula (8), reflect government to power grid Degree is inclined in the subsidy of enterprise, and θ is the scale coefficient of electric network reconstruction, and Scons and Sgrid are defined as above;Formula (9) is each variable Inequality constraints condition;
The revenue function and constraint condition of user group:
Δ M is that electric energy substitutes user's yield improving amount in formula (10), and R ' is unit product price after electric energy substitution, and R is electricity Unit product price before capable of substituting,For improvement cost coefficient, for measuring the different alternative costs by substitution user, CdIt is every A user changes the equipment cost with energy mode, I when carrying out electric energy substitutionpFor to by substitution user collect the electricity charge (member/ Kwh), QiFor 1 year electricity consumption (kwh) of user i after electric energy substitution, formula (11) is each variable inequality constraints condition;
Power grid enterprises' revenue function and constraint condition:
C in formula (12)AThe transformation of electric energy alternatives purpose distribution rack is participated in for power grid enterprises and construction cost, τ are annual interest Rate, TGFor the service life of power network line, N in formula (13)LNeed to expand 10kV overhead line structures number for electric energy replacement area, β is Networking coefficient, CT·kFor each shaft tower and between route construction cost, formula (14) be each variable inequality constraints condition;
After the game pattern of three game participants is formed, following electric energy substitution betting model is constructed:
In formula (15), arg max () is to make three maximum variables collections of game participant revenue function value, it is above most Excellent balance policy is both needed to meet (7), (8), (9), (10), (11), (12), (13), the equation of (14) and inequality constraints condition.
It is described that electric energy supersedure effect betting model is solved using improvement interactive mode II algorithm of NSGA- in the step 40) Specific step is as follows:
S4.1: to maximize benefit as objective function, game tripartite objective function is inputted;
S4.2: each game participant equation, inequality constraints are inputted;
S4.3: the total algebra of Evolution of Population is gen, evolutionary generation r=0;
S4.4: non-dominated ranking and crowding calculate;
S4.5: father, offspring individual merge;
S4.6: new population is generated, if so, step S4.7 is jumped to, if it is not, jumping to step S4.8
S4.7: selection, variation, crossover operation are taken to population.
S4.8: interactive non-dominated ranking calculates crowding, and generates new population, jump procedure S4.5.
S4.9: whether the total algebra gen of Evolution of Population is more than the upper limit, if so, S4.10 is jumped, if it is not, jump procedure
S4.10: generating the face Pareto, carries out Nash computable general equilibrium, terminates.
Embodiment
Project is substituted as embodiment, coal barn quantity and power such as 1 institute of table using the electric energy of Qujing of Yunnan area coal flue-cured tobacco Show:
Table 1
It is as shown in table 2 that Qujing Prefecture's flue-cured tobacco electric energy substitutes the static estimation investment of project distribution transformation:
Table 2
Example coefficient range is as shown in table 3:
Table 3
Above data is established into electric energy supersedure effect betting model by step substitution, is calculated using interactive mode NSGA- II is improved Method solves, and obtains the 20th non-domination solution as shown in Figure 1, improving interactive mode II algorithm of NSGA- has good convergence.
Then theoretical using the Nash computable general equilibrium in the face Pareto, by studying noninferior solution moving direction, government is substituted User group, power grid enterprises the tripartite income in cooperative game reach maximum, i.e., acquire Nash equilibrium solution in Pareto, obtain The forward position Pareto is as shown in Fig. 2, the benefit in electric energy substitution project is divided by each game participant, for each game ginseng that must send as an envoy to With the receptible decision in side, there are games to optimize area, i.e. user group and as big as possible, the power grid of government's profit on the face Pareto The reason of enterprises' loss is as small as possible, causes power grid enterprises that can not get a profit simultaneously with user group and government is the cost of distribution transformation It is high.
The present invention carries out the efficiency problem generated for electric energy substitution project, according to benefited object and benefit main body, in electricity Net enterprise, user group and it is inter-governmental establish electric energy supersedure effect betting model, which receives the user of electric energy substitution transformation The decision content of quantity, subsidy expense and electricity price as corresponding game participant, while with the quantization of the income of three game participants For objective function, the Nash equilibrium solution of electric energy supersedure effect betting model is sought, optimal compensation is obtained under equilibrium solution, the present invention The method of offer can effectively facilitate the development of electricity market, so push electric energy substitution project economic, rationally, science opens Exhibition.
Finally, it should be noted that the above embodiments are only used to illustrate the technical solution of the present invention., rather than its limitations;To the greatest extent Pipe present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that: its according to So be possible to modify the technical solutions described in the foregoing embodiments, or to some or all of the technical features into Row equivalent replacement;And these are modified or replaceed, various embodiments of the present invention technology that it does not separate the essence of the corresponding technical solution The range of scheme.

Claims (5)

1. a kind of electric energy supersedure effect analysis method based on multi-party cooperative game, the benefit analysis methods include following step It is rapid:
Step 10) combs each side's relationship of game participant in electric energy substitution project game, determines game point;
Step 20) is based on multi-party cooperative game, constructs game participant decision duration set;
Step 30) considers dynamic benefit fluctuation, establishes electric energy supersedure effect betting model;
Step 40) is obtained under different scenes using interactive mode II algorithm of NSGA- solution electric energy supersedure effect betting model is improved To Nash equilibrium solution.
2. a kind of electric energy supersedure effect analysis method based on multi-party cooperative game according to claim 1, feature exist In in the step 10), the game participant includes user group, power grid enterprises and government, using the element in set P PiIndicate the game participant in electric energy substitution project, specifically as shown in formula (1):
P={ P1,P2,P3…Pn} (1)
Electric energy substitution project brings benefits after carrying out, and benefit becomes the interests contradiction point in game, and mathematical form is indicated such as formula (2) shown in:
Rij, i=1,2,3 ... n, j=1,2,3 ... n (2)
RijIndicate the benefit contradiction point between game participant i, j, i.e. the game point of game participant i, j;
Electric energy substitutes in project game shown in the integrating representation such as formula (3) of the game point of game participant:
RMWhole benefits in electric energy substitution project are indicated, from the sum of the benefit contradiction point of game participant, RijFor game The game point of participant i, j.
3. a kind of electric energy supersedure effect analysis method based on multi-party cooperative game according to claim 2, feature exist In in the electric energy substitution project shown in government decision duration set such as formula (4):
ΩgIt include two clock decision variables, S for decision duration set of the government in electric energy substitution projectconsIt is government every year to every A electric energy substitution subsidy expense for being modified user group, SgridPower grid enterprises are participated in electric energy substitution project for government's jth year The subsidy expense of planar network architecture is matched in transformation;
User group is as the main body in electric energy substitution project, shown in decision duration set such as formula (5):
ΩconsFor decision duration set of the user group in electric energy substitution project,Received electric energy substitution in user group for 1 year to change The number of users made;
Power grid enterprises carry out decision to electricity price in electric energy substitution project, shown in decision duration set such as formula (6):
ΩgridFor decision duration set of the power grid enterprises in electric energy substitution project,It is collected for power grid enterprises to by substitution user j Electricity rates.
4. a kind of electric energy supersedure effect analysis method based on multi-party cooperative game according to claim 3, feature exist In, in the step 30), pay close attention to game in each game participant electric energy substitution income and cost, consider fund discount rate and Project operation service life, building electric energy supersedure effect betting model are as follows:
Government's revenue function and constraint condition:
Sgrid=eθS′grid(8)
Q in formula (7)iTo substitute number of users, Licarbon is the carbon emission amount for substituting user's reduction, and P is green settlement price Lattice, kj are government to user's penalty coefficient, and α is government to power grid enterprises' penalty coefficient in formula (8), reflect government to power grid enterprises Subsidy be inclined to degree, θ be electric network reconstruction scale coefficient, Scons and Sgrid are defined as above;Formula (9) is each variable inequality Constraint condition;
The revenue function and constraint condition of user group:
Δ M is that electric energy substitutes user's yield improving amount in formula (10), and R ' is unit product price after electric energy substitution, and R replaces for electric energy For preceding unit product price,For improvement cost coefficient, for measuring the different alternative costs by substitution user, CdFor each use Family changes the equipment cost with energy mode, I when carrying out electric energy substitutionpFor to the electricity charge (member/kw collected by substitution user H), QiFor 1 year electricity consumption (kwh) of user i after electric energy substitution, formula (11) is each variable inequality constraints condition;
Power grid enterprises' revenue function and constraint condition:
C in formula (12)AThe transformation of electric energy alternatives purpose distribution rack is participated in for power grid enterprises and construction cost, τ are Annual Percentage Rate, TG For the service life of power network line, N in formula (13)LNeed to expand 10kV overhead line structures number for electric energy replacement area, β is networking system Number, CT·kFor each shaft tower and between route construction cost, formula (14) be each variable inequality constraints condition;
After the game pattern of three game participants is formed, following electric energy substitution betting model is constructed:
In formula (15), arg max () is to make three maximum variables collections of game participant revenue function value, above optimal equal Weighing apparatus strategy is both needed to meet (7), (8), (9), (10), (11), (12), (13), the equation of (14) and inequality constraints condition.
5. a kind of electric energy supersedure effect analysis method based on multi-party cooperative game according to claim 4, feature exist In described to solve the specific of electric energy supersedure effect betting model using improvement interactive mode II algorithm of NSGA- in the step 40) Steps are as follows:
S4.1: to maximize benefit as objective function, game tripartite objective function is inputted;
S4.2: each game participant equation, inequality constraints are inputted;
S4.3: the total algebra of Evolution of Population is gen, evolutionary generation r=0;
S4.4: non-dominated ranking and crowding calculate;
S4.5: father, offspring individual merge;
S4.6: new population is generated, if so, step S4.7 is jumped to, if it is not, jumping to step S4.8
S4.7: selection, variation, crossover operation are taken to population.
S4.8: interactive non-dominated ranking calculates crowding, and generates new population, jump procedure S4.5.
S4.9: whether the total algebra gen of Evolution of Population is more than the upper limit, if so, S4.10 is jumped, if it is not, jump procedure S4.10: generating The face Pareto carries out Nash computable general equilibrium, terminates.
CN201910315901.2A 2019-04-19 2019-04-19 A kind of electric energy supersedure effect analysis method based on multi-party cooperative game Pending CN110135007A (en)

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