CN113362178A - Calculation method and device for guiding power distribution network to charge users participating in P2P transaction - Google Patents

Calculation method and device for guiding power distribution network to charge users participating in P2P transaction Download PDF

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CN113362178A
CN113362178A CN202110737645.3A CN202110737645A CN113362178A CN 113362178 A CN113362178 A CN 113362178A CN 202110737645 A CN202110737645 A CN 202110737645A CN 113362178 A CN113362178 A CN 113362178A
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王蓓蓓
林雪杉
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Abstract

The invention discloses a computing method and a device for guiding a power distribution network to charge users participating in P2P transaction, wherein the method comprises the following steps: (1) establishing a user contribution calculation method for determining the electricity purchasing priority and a space model for simulating a P2P transaction relationship; (2) based on the game rule of P2P transaction, a stage supply and demand game model in a cooperative evolution game theory is used for representing the game process of the producers and the consumers, the income values of the suppliers and the demanders under different strategies are respectively calculated, and the income matrix of the producers and the consumers is established; (3) according to the income matrix of the supply and demand parties, the expected income and the average income are calculated, the replication dynamic equation, the system local equilibrium point and the Jacobian matrix under different equilibrium points are respectively calculated, the evolution stability strategy of the producers and the consumers participating in the P2P transaction is analyzed, and the charge amount of the power distribution network to the P2P users is calculated. According to the method, the calculation method is provided for the charging mode of the power distribution network for guiding the user to participate in the P2P transaction by establishing the evolutionary game model of the user participating in the P2P transaction and analyzing the stability strategy of the evolutionary game model.

Description

Calculation method and device for guiding power distribution network to charge users participating in P2P transaction
Technical Field
The invention relates to the technical field of power market economy, in particular to a computing method and device for guiding a power distribution network to charge users participating in P2P trading.
Background
Currently, Distributed Energy (DER) plays an important role in reducing carbon emissions and alleviating energy shortage. The continuous increase in the amount of electricity generated by DER and its percentage in the distribution grid has caused current grid-tie policies to limit its development. With the advance of the spot market at home and abroad, researches show that a point-to-point (Peer-to-Peer, P2P) transaction mode can promote DER grid connection requirements. Meanwhile, due to the low price, the users are more inclined to buy the electric energy sold by other users. At this time, all users are decision makers for participating in P2P trading, and participate in clearing in a mode of submitting quotes, so that the electric quantity of the users participating in the P2P trading must be balanced, and DER consumption is improved. However, since the decision is maximized based on the own profit, the supplier may not sell the electricity when the supplier needs to bear the transaction net fee. Thus, it is likely that the vast majority of the producers will be reluctant to act as suppliers, which may result in a lack of collaboration in the P2P transaction, affecting DER consumption.
Disclosure of Invention
The invention aims to provide a computing method and a computing device for guiding a power distribution network to charge users participating in P2P trading, and establishes research on the P2P market trading behavior of the users participating in the power distribution network based on an evolutionary game aiming at the P2P trading trend of future power distribution network market development. The method provides an evolutionary game model and an excitation mechanism aiming at limited rationality of participants, simulates the behavior of users with distributed energy as the producers and the consumers to participate in the P2P trading of the power distribution network under the excitation of the contribution degree parameters, analyzes the final evolutionary stability strategy of the producers and the consumers under continuous dynamic change, and provides a calculation method for guiding the power distribution network to charge the users participating in the P2P trading.
The purpose of the invention can be realized by the following technical scheme: the invention discloses a computing method and a device for guiding a power distribution network to charge users participating in P2P transaction, which are characterized by comprising the following steps:
(1) establishing a user contribution calculation method for determining the electricity purchasing priority and a space model for simulating a P2P transaction relation based on the user behaviors of the P2P transaction;
(2) establishing a producer and consumer income matrix of a stage supply and demand game model based on a game rule of P2P transaction;
(3) and calculating a replication dynamic equation, a local balance point and a Jacobian matrix through the income matrix of the producer and the consumer, analyzing an evolution stabilization strategy of the producer and the consumer participating in P2P transaction, and calculating the charge amount of the distribution network to the P2P user.
Further, the step (1) specifically comprises:
(1-1) user contribution calculation method
When the user is a producer and a consumer are involved in the P2P transaction, the supplier needs to pay the transaction fee to the power distribution network, and the user may refuse or rarely supply the electric energy as a power generator due to no profit. And calculating and determining the priority through the contribution of the producers and the consumers, acquiring the electric energy of the demand parties according to the priority sequence, and storing the transaction history among the users in a network sharing manner for the transaction parties to call.
The contribution of the producer and the consumer is determined based on the ratio of the power sale to the power purchase, and the calculation formula is as follows:
Figure BDA0003142142160000021
in the formula: v is the contribution of the destroyer, the subscript j represents the corresponding value of the electricity selling transaction j, and the subscript k represents the corresponding value of the electricity purchasing transaction k; sjThe profit obtained for the producer and the consumer to sell electricity as the supplier in the electricity selling transaction j; ckThe profit obtained by purchasing electricity as a demand party in the electricity purchasing transaction k for the producer and the consumer; j and K represent the set of electricity selling and electricity purchasing transactions of the respectively producing and consuming person in the P2P transaction process.
(1-2) establishing a P2P transaction relation space model
P2P transactions in a power distribution grid may be represented by a spatial model. In a true P2P network, a demand party often transacts with some designated supplier. Thus, the trade relationships between the producers and the consumers are not random, and can be modeled by building a Trade Overlay Network (TON) as a space model to simulate the trade relationships of the producer and the consumer P2P.
TON is a virtual network topology based on P2P network, the simulation framework is represented by a two-dimensional matrix network with periodic boundary conditions, in TON, a vertex D (demand) represents a demand side in the P2P network, and an edge represents the transaction relationship between the production and consumption persons. Suppliers s (supplier) that are designated to trade with a certain demander are located adjacent to the demander in TON, so that the demanders can only buy power from their "neighbors". The square mesh network has a uniformity distribution with a degree of 4 per user, which means that each of the producers and consumers is assumed to have the same capacity to request services.
Further, the step (2) specifically comprises:
(2-1) establishing game rules for P2P transactions
Due to the problems in P2P transactions, the transaction process can be represented by a stage game model in the evolutionary game theory. In the stage game model, game rules established by a power distribution network are included in addition to the producers and the consumers, the game strategies and the profits participating in the P2P transaction. The number of gambling parties determines the number of producers and consumers participating in the P2P transaction, and thus, the N users in the P2P network form a whole. The strategies adopted by the prosumers and consummates are related to the degree of cooperation, non-cooperation and user contribution. The stage gambling model describes the detailed process of conducting the P2P transaction between the destroyers and determines the yield of the destroyers in the P2P transaction. The gaming rules are intended to designate suppliers that provide power to the consumers and to act as their "neighbor" nodes in the TON.
It should be noted that the transactions between the producers and the consumers are asymmetric, that is, when the demand party makes a request for purchasing electricity to the supplier, the supplier does not necessarily have the willingness to sell electricity, and only the supplier can decide whether to supply electricity to the demand party. In addition, electricity purchasing and selling activities do not occur simultaneously. The stage game satisfies both requirements.
In order to research the cooperative evolution game, a supply and demand game mode is adopted. The game of supply and demand is a problem with two-player games, where one of the deputients acts as the supplier and the other deputient acts as the demander. The provider has two options, cooperative or traitorous. Herein, cooperation refers to the cost c of the supplier paying the distribution network for supplying power to the demander, and the benefit obtained by the demander is the cost s saved compared to purchasing power from the distribution network. If the supplier chooses a traitor policy, its contribution is reduced, resulting in loss of revenue, when the demand side revenue is related to its policy.
(2-2) establishing a producer and consumer income matrix of the stage supply and demand game model
The power generator needs to report the electric energy bidding curve in the market. The fuel cost can be described as a quadratic function of the output, and the marginal cost is obtained by solving the first order differential. Affine processing is performed on the marginal cost, and an electric energy bidding curve based on a Linear Supply Function (LSF) model is obtained.
Figure BDA0003142142160000031
s represents the additional cost of the electric energy saved by the purchasing of the demand party in the P2P transaction; p represents the contribution income of the demand side due to electricity purchase in the P2P transaction to avoid unfair transactions in the P2P market. e represents the electricity selling income of the supplier in the P2P transaction; v represents the contribution degree income of the supplier due to electricity sale because of actively participating in the P2P transaction; c represents the fee the supplier needs to pay for the distribution network by engaging in the P2P transaction.
Further, the step (3) comprises the following steps:
and (3-1) obtaining the income matrix of the demand side by the income matrix of the producer and the consumer of the stage supply and demand game model, and representing the income value of the demand side under different strategies.
Figure BDA0003142142160000041
(3-2) the expected profit when the demander selects the cooperation strategy is calculated from the profit matrix of (3-1).
Figure BDA0003142142160000042
In the formula: a is the expected income when the demander selects the cooperation strategy; (10) 1 in (1) indicates that the demander selects the cooperation strategy, and 0 indicates that the traitor strategy is not selected; y represents the probability of the supplier selecting the cooperation strategy; 1-y represents the probability of a provider selecting a traitor policy; and y ∈ [0,1 ].
(3-3) the average profit of the demander is also calculated from the profit matrix of (3-1).
Figure BDA0003142142160000043
In the formula: b is the average income of the demand side; x represents the probability of the demander selecting the cooperation strategy; 1-x represents the probability of a claimant selecting a traitor policy; and x ∈ [0,1 ].
(3-4) according to the Markas equation, the growth rate of the selected cooperation strategy of the Demand side is equal to the expected income minus the average income, and then the replication dynamic equation of the Demand side (Demand) is as follows:
Fdemand=x(A-B)=x(1-x)(sy-p)
in the formula: fdemandThe dynamic equation is copied for the demand side.
And (3-5) obtaining the income matrix of the supplier from the income matrix of the producers and the consumers of the stage supply and demand game model, and representing the income value of the supplier under different strategies.
Figure BDA0003142142160000044
(3-6) the expected revenue when the supplier selects the cooperation strategy is calculated from the revenue matrix of (3-5).
Figure BDA0003142142160000051
In the formula: c, expected income when a supplier selects a cooperation strategy; (10) a 1 in (1) indicates the vendor selects the collaboration policy, and a 0 indicates the vendor selects the traitor policy.
(3-7) the average profit of the supplier is also calculated from the profit matrix of (3-5).
Figure BDA0003142142160000052
In the formula: d is the average income of the supplier; x represents the probability of the demander selecting the cooperation strategy; 1-x represent the probability of a claimant selecting a traitor policy.
(3-8) according to the markas equation, the increase rate of the Supplier (Supplier) selecting the cooperation strategy is equal to the expected income minus the average income, and then the replication dynamic equation of the demand side is as follows:
Fsupplier=y(US1-US)=y(1-y)[(e-c-v)x-v]
in the formula: fsupplierThe dynamic equation is copied for the demand side.
(3-9) game population combined with (3-4) and (3-8) replicates the dynamic equation, let the set of locally equalized points be R ═ x, y, and reach the local equalization of the system at a growth rate of 0, let differential equation FdemandAnd FsupplierAll solutions of (2) are 0, and then the local equalization point of the system is obtained:
Figure BDA0003142142160000053
in the formula: r1、R2、R3、R4、R5Respectively representing the values of five local equalization points of the system.
(3-10) according to the method proposed by Friedman, a population dynamics described by a system of differential equations whose robustness of stationary points is obtained by local stationary analysis of Jacobian matrices obtained by the system:
Figure BDA0003142142160000061
in the formula: j denotes the Jacobian matrix of the system.
(3-11) Jacobian matrices for different equalization points can be obtained from (3-10).
Figure BDA0003142142160000062
In the formula: j. the design is a square1,J2,J3,J4,J5Are respectively corresponded toBalance point R1,R2,R3,R4,R5The Jacobian matrix of (1).
(3-12) by analyzing the Jacobian matrix in (3-11), matrix determinants det (J) corresponding to different equilibrium points and traces tr (J) of the matrix can be calculated, wherein when det (J) >0 and tr (J) <0, the evolving equilibrium points in (3-11) reach a stable state (ESS).
Figure BDA0003142142160000063
According to the ESS under different equilibrium points, the charging amount of users participating in the P2P transaction can be calculated when the power distribution network reaches different user participation states.
The invention also provides a device for calculating the charge, which comprises: the power network and operation instruction input module is used for acquiring network physical parameters of the power distribution network and a power distribution network market operation instruction corresponding to the time period,
the power distribution network charging and user P2P transaction condition output module is used for acquiring transaction information of electricity purchase and sale report and quotation of a user as a producer and a consumer, inputting the transaction information into the game model to obtain a P2P transaction matching result, and determining the charging amount of the power distribution network to the participating users after calculation;
and the user P2P transaction information storage module is used for storing historical transaction information of the user as a producer and a consumer and providing a contribution degree parameter for the next transaction.
Considering the operating state of the power distribution network and a P2P transaction matching model of the user; solving a P2P trading matching model participated by the user by adopting an evolutionary game theory method, increasing market fairness effectiveness on the basis of considering user contribution, and obtaining trading electric quantity and trading price of the user as a producer and a consumer in market balance; and adopting a P2P transaction supporting/P2P transaction supporting instruction for the user based on the running states of the line trend of the power distribution network, the output of the distributed power supply, the user consumption and the like, integrating the matching conditions of the P2P transaction participated by the user, and giving the amount of money for guiding the power distribution network to charge the P2P participated user.
Has the advantages that: compared with the prior art, the invention has the following remarkable advantages: the method considers the operation condition of the power distribution network and the fairness and effectiveness of the users participating in the P2P transaction, introduces the P2P transaction decision and the user transaction game of the power distribution network, simulates the P2P transaction matching process of the users participating in the P2P transaction in the power distribution network by establishing a P2P transaction matching model of the users, calculates the amount of money for guiding the power distribution network to charge the users participating in the P2P transaction, and solves the charging problem caused by the fact that the power distribution network deals with the P2P transaction of the users in the future market.
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FIG. 1 is a schematic flow diagram of one embodiment of the present invention
FIG. 2 is a schematic diagram of a power distribution network charging calculation device according to an embodiment of the present invention
FIG. 3 is a schematic diagram of the structure of an apparatus of an embodiment of the present invention
FIG. 4 is a schematic diagram of the TON structure of the present invention
Detailed Description
The embodiment provides a calculation method and a device for guiding a power distribution network to charge users participating in a P2P transaction, and the main steps of the calculation method and the device are shown in fig. 1.
For example, in order to actively schedule new energy users to participate in P2P transactions, (s-P) may be used>0,(e-2v-c)>0,p<0,v>0, in this case R of ESS4The distribution network has to pay the active participating demanders a sum of-c, and c<e-2v, the stability of the equilibrium point is shown in table 1, and both trading parties are involved in the P2P trade in the stable strategy.
TABLE 1
Figure BDA0003142142160000081
The table shows that the stable equilibrium point is R under the condition that the distribution network supports P2P transaction4And at the moment, the patch of the power distribution network is-c.
For example, when the power distribution network is blocked or the distributed power supply affects the stability of the power distribution network at a certain moment, and the power distribution network wants to be dispatched in a centralized manner and does not support the user to participate in P2P transaction, the (s-P) can be realized>0,(e-2v-c)>0,p>0,v>0, in this case R of ESS1The distribution network needs to charge the demand party with a money amount c<e-2v, with equilibrium point stability as shown in table 2, where both trading side stability policies are not involved in the P2P trade.
TABLE 2
Figure BDA0003142142160000082
Figure BDA0003142142160000091
The table shows that the stable equilibrium point is R under the condition that the distribution network does not support P2P transaction1The charging rate of the power distribution network at this time is c.
Fig. 2 is a schematic diagram of a charging calculation apparatus for a power distribution network according to an embodiment of the present invention. The embodiment can be suitable for guiding the power distribution network to calculate the charging amount of the user participating in the P2P transaction, and the device can be implemented in a software and/or hardware manner, and the device can be configured in a terminal device. This distribution network charge computing device includes: the system comprises a power network and operation instruction input module, a power distribution network charging and user P2P transaction condition output module and a user P2P transaction information storage module.
The power distribution network charging calculation device provided by the embodiment of the invention can be used for executing the method for calculating the charging amount of the power distribution network for guiding the users participating in the P2P transaction, and has the corresponding functions and beneficial effects of the execution method.
It should be noted that, in the embodiment of the device for determining the user transaction amount and the price, the units and modules included in the device are merely divided according to the functional logic, but are not limited to the above division as long as the corresponding functions can be realized; in addition, specific names of the functional units are only for convenience of distinguishing from each other, and are not used for limiting the protection scope of the present invention.
Fig. 3 is a schematic structural diagram of an apparatus according to an embodiment of the present invention, where the embodiment of the present invention provides a service for implementing the method for calculating power distribution network charging according to the above embodiment of the present invention, and the device for determining power distribution network charging in the above embodiment may be configured. Fig. 3 illustrates a block diagram of an exemplary device 12 suitable for use in implementing embodiments of the present invention. The device 12 shown in fig. 3 is only an example and should not bring any limitations to the functionality and scope of use of the embodiments of the present invention.
As shown in FIG. 3, device 12 is in the form of a general purpose computing device. The components of device 12 may include, but are not limited to: one or more processors or processing units 16, a system memory 28, and a bus 18 that couples various system components including the system memory 28 and the processing unit 16. The processing unit 16 executes the program stored in the system memory 28, so as to implement the method for calculating the market force of the generator according to the embodiment of the present invention. Through the equipment, the problem of charging of the power distribution network for users participating in P2P trading is solved, the power distribution network is helped to increase/reduce the P2P trading degree after the power distribution network makes supporting/non-supporting P2P trading decisions by measuring the running condition of the power distribution network, the market operation risk is reduced, and the power market running efficiency is improved.
While the invention has been described in connection with what is presently considered to be the most practical and preferred embodiment, it is to be understood that the invention is not to be limited to the disclosed embodiment, but on the contrary, is intended to cover various modifications and equivalent arrangements included within the spirit and scope of the appended claims.

Claims (6)

1. A method for calculating a charge directed to a power distribution network for a user participating in a P2P transaction, the method comprising:
(1) establishing a user contribution calculation method for determining the electricity purchasing priority and a space model for simulating a P2P transaction relation based on the user behaviors of the P2P transaction;
(2) establishing a producer and consumer income matrix of a stage supply and demand game model based on a game rule of P2P transaction;
(3) and calculating a replication dynamic equation, a local balance point and a Jacobian matrix through the income matrix of the producer and the consumer, analyzing an evolution stabilization strategy of the producer and the consumer participating in P2P transaction, and calculating the charge amount of the distribution network to the P2P user.
2. The method of claim 1, wherein the computing method is used for directing the distribution network to charge users participating in a P2P transaction, and comprises: the step (1) specifically comprises the following steps:
user contribution calculation method
When a user is used as a producer and a consumer to participate in P2P transaction, a supplier needs to pay transaction cost to a power distribution network, the user may refuse or rarely provide electric energy as a power generator due to no profit, the priority is determined by calculating the contribution of the producer and the consumer, a demand side obtains the electric energy according to the priority sequence, and the transaction history among the users is stored in a network sharing manner for the transaction side to call;
the contribution of the producer and the consumer is determined based on the ratio of the power sale to the power purchase, and the calculation formula is as follows:
Figure FDA0003142142150000011
in the formula: v is the contribution of the destroyer, the subscript j represents the corresponding value of the electricity selling transaction j, and the subscript k represents the corresponding value of the electricity purchasing transaction k; sjThe profit obtained for the producer and the consumer to sell electricity as the supplier in the electricity selling transaction j; ckThe profit obtained by purchasing electricity as a demand party in the electricity purchasing transaction k for the producer and the consumer; j and K respectively represent the collection of electricity selling and electricity purchasing transaction behaviors of the obstetric and Xiaoer in the P2P transaction process;
establishing P2P transaction relation space model
Considering that the trading relationships between the producers and the consumers are not random, a trading overlay network TON can be established as a spatial model for simulating the trading relationships of the producer and the consumer P2P, wherein the TON is a virtual network topology based on a P2P network, and a simulation framework is represented by a two-dimensional square matrix network with periodic boundary conditions.
3. The method of claim 2, wherein the computing method is used for directing the distribution network to charge users participating in P2P transactions, and comprises: the step (2) specifically comprises the following steps:
establishing game rules for P2P transactions
The transaction process is represented by a stage game model in an evolutionary game theory, wherein N users in a P2P network form a whole, producers and consumers adopt cooperation/non-cooperation degrees related to the contribution degree of the users and determine P2P transaction benefits, and game rules specify that suppliers which supply power to demanders need to be used as 'neighbor' nodes in TON;
it should be noted that the transaction between the producers and the consumers is asymmetric, that is, when the demand party makes a request for purchasing electricity to the supplier, the supplier does not necessarily have the willingness of selling electricity, and only the supplier can decide whether to supply electricity to the demand party, and furthermore, the electricity purchasing and selling behaviors do not occur simultaneously, and the stage game meets the two requirements;
in order to research a cooperative evolution game, a supply and demand game mode is adopted, wherein the supply and demand game is a problem of a two-person game, one producer is used as a supplier, the other producer is used as a demand producer, the supplier has two choices, cooperation or traitor, cooperation means cost c of the supplier needing to pay to a power distribution network for supplying power to the demand producer, and income obtained by the demand producer is compared with cost s saved by purchasing power from the power distribution network, if the supplier selects a traitor strategy, the contribution degree of the supplier is reduced, and income loss is generated, and the income of the demand producer is related to the strategy;
producer and consumer income matrix for establishing stage supply and demand game model
The power generator needs to report an electric energy bidding curve in the market, fuel cost of the power generator can be described as a quadratic function of output, first-order differentiation is carried out to obtain marginal cost, and affine processing is carried out on the marginal cost to obtain the electric energy bidding curve based on a linear supply function model.
4. The method of claim 3, wherein the computing method is used for directing the distribution network to charge users participating in a P2P transaction, and comprises: the step (3) specifically comprises the following steps:
(3-1) the income matrix of the demand side is obtained by the income matrix of the producers and the consumers of the stage supply and demand game model and represents the income values of the demand side under different strategies,
Figure FDA0003142142150000031
(3-2) the expected profit when the demander selects the cooperation strategy is calculated from the profit matrix of (3-1),
Figure FDA0003142142150000032
in the formula: a is the expected income when the demander selects the cooperation strategy; (10) 1 in (1) indicates that the demander selects the cooperation strategy, and 0 indicates that the traitor strategy is not selected; y represents the probability of the supplier selecting the cooperation strategy; 1-y represents the probability of a provider selecting a traitor policy; and y is equal to [0,1],
(3-3) the average profit of the demand side is also calculated from the profit matrix of (3-1),
Figure FDA0003142142150000033
in the formula: b is the average income of the demand side; x represents the probability of the demander selecting the cooperation strategy; 1-x represents the probability of a claimant selecting a traitor policy; and x is equal to [0,1],
(3-4) according to the Markas equation, the growth rate of the selected cooperation strategy of the Demand side is equal to the expected income minus the average income, and then the replication dynamic equation of the Demand side (Demand) is as follows:
Fdemand=x(A-B)=x(1-x)(sy-p)
in the formula: fdemandCopying a dynamic equation for a demand side;
(3-5) the income matrix of the supplier is obtained by the income matrix of the producers and the consumers of the stage supply and demand game model, the income matrix represents the income values of the supplier under different strategies,
Figure FDA0003142142150000041
(3-6) the expected revenue when the supplier selects the cooperation strategy is calculated from the revenue matrix of (3-5),
Figure FDA0003142142150000042
in the formula: c, expected income when a supplier selects a cooperation strategy; a 1 in 10 denotes a vendor selection cooperation policy, and a 0 denotes a vendor selection traitor policy;
(3-7) the average profit of the supplier is also calculated from the profit matrix of (3-5),
Figure FDA0003142142150000043
in the formula: d is the average income of the supplier; x represents the probability of the demander selecting the cooperation strategy; 1-x represents the probability of a claimant selecting a traitor policy,
(3-8) according to the markas equation, the increase rate of the Supplier (Supplier) selecting the cooperation strategy is equal to the expected income minus the average income, and then the replication dynamic equation of the demand side is as follows:
Fsupplier=y(US1-US)=y(1-y)[(e-c-v)x-v]
in the formula: fsupplierCopying a dynamic equation for a demand side;
(3-9) game population combined with (3-4) and (3-8) replicates the dynamic equation, let the set of locally equalized points be R ═ x, y, and reach the local equalization of the system at a growth rate of 0, let differential equation FdemandAnd FsupplierAll solutions of (2) are 0, and then the local equalization point of the system is obtained:
R1=(0,0);R2=(0,1);R3=(1,0);R4=(1,1);
Figure FDA0003142142150000044
in the formula: r1、R2、R3、R4、R5Five for respectively representing the systemA value of a local equalization point;
(3-10) according to the method proposed by Friedman, a population dynamics described by a system of differential equations whose robustness of stationary points is obtained by local stationary analysis of Jacobian matrices obtained by the system:
Figure FDA0003142142150000051
in the formula: j represents the Jacobian matrix of the system;
(3-11) Jacobian matrices for different equalization points can be obtained from (3-10),
Figure FDA0003142142150000052
Figure FDA0003142142150000053
in the formula: j. the design is a square1,J2,J3,J4,J5Respectively correspond to the balance points R1,R2,R3,R4,R5The Jacobian matrix of (1);
(3-12) from the analysis of Jacobian matrix in (3-11), matrix determinant det (J) and trace tr (J) of matrix corresponding to different equilibrium points can be calculated, wherein when det (J) >0 and tr (J) <0, the evolving equilibrium points in (3-11) reach steady state (ESS),
Figure FDA0003142142150000054
according to the ESS under different equilibrium points, the charging amount of users participating in the P2P transaction can be calculated when the power distribution network reaches different user participation states.
5. A computing device for directing an electrical distribution network to charge users participating in a P2P transaction, comprising:
the power network and operation instruction input module is used for acquiring network physical parameters of the power distribution network and a power distribution network market operation instruction corresponding to the time period,
the power distribution network charging and user P2P transaction condition output module is used for acquiring transaction information of electricity purchase and sale report and quotation of a user as a producer and a consumer, inputting the transaction information into the game model to obtain a P2P transaction matching result, and determining the charging amount of the power distribution network to the participating users after calculation;
and the user P2P transaction information storage module is used for storing historical transaction information of the user as a producer and a consumer and providing a contribution degree parameter for the next transaction.
6. An apparatus, comprising:
one or more processors;
a memory for storing one or more programs;
when executed by the one or more processors, cause the one or more processors to implement a method of calculating a charge for a user participating in a P2P transaction over the power distribution network as recited in any of claims 1-4.
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