CN115660841A - Community-level P2P energy transaction bipartite graph matching method considering social influence - Google Patents
Community-level P2P energy transaction bipartite graph matching method considering social influence Download PDFInfo
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Abstract
The invention discloses a bipartite graph matching method for community-level P2P energy trading considering social influence, which is used for acquiring user load, electricity price, new energy output range, power generation and utilization preference of users and network parameter data of a power distribution network accessed by a community-level microgrid, and transmitting the data as parameters into an optimization model; analyzing the condition of end-to-end transaction in the community, establishing an internal transaction optimization model of the community, and analyzing the social influence of the transaction in the community; modeling the transaction process inside each community-level microgrid by utilizing multi-subject deep reinforcement learning to obtain an energy transaction model inside each community-level microgrid; matching is carried out among communities, and the total energy exceeding or shortage part in the communities is consumed; and after the energy producers and the energy consumers in each community are traded, outputting the energy shortage/excess part of each community so as to match the communities, solving the optimal matching result by using the Hungarian algorithm in the matching process, and minimizing the weight sum of the matching lines.
Description
Technical Field
The invention belongs to the technical field of P2P (peer-to-peer) transaction in an electric power market, and particularly relates to a bipartite graph matching method for community-level P2P energy transaction considering social influence.
Background
In recent years, with the development of distributed energy technology, end users in electric power systems have become more active. Many users who have installed photovoltaic cell panel, battery energy storage system and electric automobile can sell unnecessary electric power for the system according to the price of electricity of surfing the net. Therefore, the concept of energy producers and consumers is now commonly introduced to describe such active end users. The local P2P energy trading market between the producers and the consumers is one of energy trading scenes which are increasingly important in the fields of power distribution networks and micro-grids in recent years, but the producers and the consumers are often distributed in different community-level micro-grids, each community has excess power and shortage, the mutual influence of the electricity utilization behaviors of users in the same community is not considered in the existing P2P trading, the trading matching difficulty among the communities is high, and the optimal matching result is difficult to solve in polynomial time by a traditional algebraic trading matching model.
Disclosure of Invention
In order to solve the above mentioned shortcomings in the background art, the present invention provides a bipartite graph matching method for community-level P2P energy trading in consideration of social influence.
The purpose of the invention can be realized by the following technical scheme: a bipartite graph matching method for community-level P2P energy trading considering social influence comprises the following steps:
acquiring use data, wherein the use data comprises user load, electricity price, new energy output range, power generation and utilization preference of users and network parameter data of a power distribution network accessed by a community-level microgrid;
analyzing the condition of end-to-end transaction in the community, establishing an internal transaction optimization model of the community, transmitting the obtained use data serving as parameters into the internal transaction optimization model of the community, and analyzing the social influence of the transaction in the community;
modeling the transaction process inside each community-level microgrid by utilizing multi-subject deep reinforcement learning to obtain an energy transaction model inside each community-level microgrid;
after an energy transaction model inside each community-level microgrid is obtained, matching is carried out among communities to consume the part of total energy exceeding or shortage inside the communities, and the matching problem between energy buyers and energy sellers is described in a bipartite graph mode to maximize the benefit of an energy seller of a matching result and minimize the electricity purchasing cost after the energy buyer is matched;
and after the energy producers and the energy consumers in each community are traded, outputting the energy shortage/excess part of each community so as to match each community, solving the optimal matching result by using the Hungarian algorithm in the matching process, and simultaneously minimizing the weight sum of the matching lines so as to minimize the network passing cost in the trading process.
Preferably, the user load comprises year-round load data of the user, and the data collection interval of the user load is 15 minutes at the minimum.
Preferably, the electricity prices include national uniform peak-valley average three-hour electricity prices, and internet access electricity prices of the end users; the new energy output range comprises the upper and lower power generation limits of photovoltaic power generation and wind power generation renewable energy; the power generation and utilization preference of the user comprises a cost function of power generation of the user, a utility function of power utilization and the social state of the user; the network parameters of the power distribution network accessed by the community-level microgrid comprise line parameters of the whole power distribution network, fluctuation ranges of voltages of all nodes and a grid structure of the power distribution network.
Preferably, the process of establishing the intra-community transaction optimization model comprises the following steps:
the internal community transaction optimization model is established as follows:
in the formula (I), the compound is shown in the specification,for the payload of user i at time t,i.e. the utility that user i gets to consume the payload at time t,for the electricity purchasing quantity of the P2P trading market in the community,the E-purchase price of the user i at the P2P at the time t, xi t The method comprises the steps of collecting decision variables of the whole community-level market, namely net load and the electricity purchasing quantity of users in a P2P trading market in a community;
schedulable resources for each energy producer and consumer in the community include reducible load, interruptible load, transferable load and distributed energy storage, modeled as follows:
in the formula (I), the compound is shown in the specification,representing the set of users i in community n,for the run-time of the entire market,in order to load the total amount of resources for flexibility,respectively, user i can reduce load, interrupt load and transfer load at time t,the amount of load over the total time period required for transferable loads,for the rigid load of user i at time t,for the payload of user i at time t,charging power for user i at time t, P i cha The rated charging power for the stored energy of user i,for the charging state of the stored energy of user i,discharge power, P, for user i at time t i dis The rated discharge power of the stored energy for user i,is the discharge state of the stored energy of user i,for the energy storage capacity of the user i at the time t,charging and discharging coefficients of the stored energy of the user i are respectively, delta t is the charging and discharging time step length of the stored energy,the lower limit and the upper limit of the energy storage capacity of the user i.
Preferably, in addition to the operating constraints of the energy producers and consumers' distributed power supplies, the intra-community transactions also need to satisfy the following power balance constraints:
in the formula (I), the compound is shown in the specification,for the purchased electric power of the nth community to the upper level grid at time t,photovoltaic power generation power of user i at time t,Transacting electric energy for P2P of user i at time t whenPositive indicates that user i buys power at time t whenA negative indicates that user i sells at time t.
Preferably, the process of obtaining an energy transaction model inside each community-level microgrid comprises:
modeling an end-to-end transaction process within each community as a Markov process, wherein the Markov observations are set as follows:
in the formula (I), the compound is shown in the specification,which is an observation set on the power generation side, t represents an index of time,representing the P2P transaction electricity price of user i at time t,representing the photovoltaic power generation power of the user i at the moment t,a value representing the stiffness load of the user i,indicating the amount of energy stored by user i at time t,for a set of social network observations within a community,respectively represents the operation difficulty, the communication degree, the information depth, the social influence degree and the influence of the friends of the transaction behavior, the higher the numerical value is, the greater the influence of the item on the transaction result is,is an observation set of the whole market;
the Markov action set is built up as follows:
in the formula (I), the compound is shown in the specification,in order to be able to reduce the upper limit of the load,an upper limit for the interruptible load is,is the upper limit of the transferable load,is a Markov motion value;
after the markov action set and the markov observation set are obtained, the state transition process of each individual can be updated according to the action, and the updated state transition is as follows:
preferably, after obtaining the state transition, defining a reward function corresponding to the state transition as follows:
in the formula, r i cost,t ,r i uti,t ,r i psy,t ,r i DER,t Respectively represent the electricity selling income and the electricity purchasing utility,
formula (II)Psychological rewards and usage and maintenance costs of distributed power sources that are consistent with the ability of energy producers and consumers in the same community to maintain behavior,meaning that the net load is averaged,and respectively representing the maintenance cost of photovoltaic and distributed energy storage, and obtaining a return function value by taking opposite numbers.
Preferably, the process of matching between communities comprises:
the community P2P matching problem is written as follows:
in the formula (I), the compound is shown in the specification,for the price community n sells electricity to community m,selling electricity to the community m for the community n,active loss, p, for the entire distribution network transaction t Is one by oneA vector of the contribution power of the community,for the lagrange dual variables corresponding to active balance,for reactive losses of the entire distribution network transaction, q t A vector composed of the reactive power output of each community,for Lagrange dual variables corresponding to reactive balancing, p min,t ,p max,t Respectively the active output lower limit and the active output upper limit of each community,for corresponding Lagrangian dual variables, q min,t ,q max,t Respectively the lower limit and the upper limit of reactive power output of each community,for the corresponding Lagrangian dual variable, v min,t ,v max,t Respectively corresponding to the lower limit and the upper limit of the voltage amplitude for each node,for the corresponding Lagrangian dual variable, | s start,t || 2 Is the square of the complex power amplitude at the beginning of the branch, | s end,t || 2 Is the square of the complex power amplitude at the end of the branch, (S) t ) 2 The upper limit of the complex power amplitude of the whole branch circuit is defined;
in order to minimize the influence of transactions on a power distribution network when P2P transactions are matched among communities, the P2P matching problem of the communities is linearized, and then a Lagrangian function is solved as follows:
in the formula, pi t Representing the weight of the transaction for community n to community m,respectively, representing the effects of energy, loss, node voltage and line blocking on the network.
Preferably, an apparatus comprises:
one or more processors;
a memory for storing one or more programs;
when executed by one or more of the processors, cause the one or more processors to implement a bipartite graph matching method for community-level P2P energy trading that takes into account social influences, as described above.
Preferably, a storage medium containing computer executable instructions for performing a bipartite graph matching method for community-level P2P energy trading taking social influence into account as described above when executed by a computer processor.
The invention has the beneficial effects that:
the invention analyzes the social relationship which determines the energy utilization decision of each energy producer and consumer in each community, creates a multi-subject deep reinforcement learning model based on the social relationship, and accurately delineates the transaction process while ensuring the normal transaction of each user in the community. And considering the line parameters in the network in the process of matching optimization, and optimizing and matching the even and Hungarian algorithms by using Lagrange, the influence of the P2P energy use matching between the social intervals on the power distribution network is fully considered.
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In order to more clearly illustrate the embodiments or technical solutions in the prior art of the present invention, the drawings used in the description of the embodiments or prior art will be briefly described below, and it is obvious for those skilled in the art that other drawings can be obtained based on these drawings without creative efforts.
FIG. 1 is a schematic diagram of a three-layer structure including communities, energy producers and consumers, and power distribution network operators in a P2P trading market according to the present invention;
FIG. 2 is a diagram of a modeling architecture for the cyber-physical-social system according to the present invention;
FIG. 3 is a schematic diagram of how each community-level microgrid forms a buyer and a seller according to the shortage and excess of internal energy in the embodiment of the invention;
FIG. 4 is a flow chart of a coupling algorithm of multi-agent deep reinforcement learning and Hungarian algorithm according to an embodiment of the invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
As shown in fig. 1, a bipartite graph matching method for community-level P2P energy trading considering social influence includes the following steps:
(1) Acquiring user load, electricity price, new energy output range, power generation and utilization preference of users and network parameter data of a power distribution network accessed by a community-level microgrid, and transmitting the collected data serving as parameters into an optimization model;
further, the user load data comprises the load data of the user all year round, and the data acquisition interval is minimum 15 minutes;
further, the electricity price information comprises national uniform peak-valley average three-hour electricity prices and internet access electricity prices of terminal users;
further, the new energy output range comprises the upper and lower power generation limits of renewable energy sources such as photovoltaic power generation and wind power generation;
furthermore, the power generation and utilization preference of the user comprises a cost function of power generation of the user, a utility function of power utilization and the social state of the user;
furthermore, the network parameters of the power distribution network comprise line parameters of the whole power distribution network, the fluctuation range of the voltage of each node and the grid structure of the power distribution network.
(2) Analyzing the end-to-end transaction condition in the community, establishing an internal transaction optimization model of the community, and analyzing the social influence of the transaction in the community;
(21) The optimization goal of the intra-community optimization model is to maximize the welfare of the producers and consumers. Thus, the model for each community can be established as follows:
in the formula (I), the compound is shown in the specification,for the payload of user i at time t,i.e. the utility that user i gets by consuming so much load at time t,for the user to purchase the electricity quantity on the P2P trading market in the community,the P2P electricity purchase price, xi, of the user i at the time t t A set of decision variables for the entire community-level market.
(22) Schedulable resources of each energy producer and consumer in the community mainly include reducible load, interruptible load, transferable load and distributed energy storage, and can be modeled as follows:
in the formula (I), the compound is shown in the specification,representing the set of users i in community n,for the run-time of the entire market,in order to load the total amount of resources for flexibility,respectively, user i's reducible load, interruptible load, transferable load at time t,the amount of load over the total time period required for transferable loads,for the rigid load of user i at time t,for the payload of user i at time t,charging power for user i at time t, P i cha The rated charging power for the stored energy of user i,for the charging state of the stored energy of user i,discharge power, P, for user i at time t i dis The rated discharge power of the stored energy for user i,is the discharge state of the stored energy of user i,for the energy storage capacity of the user i at the time t,the charging and discharging coefficients of the stored energy of the user i are respectively, delta t is the charging and discharging time step length of the stored energy,the lower limit and the upper limit of the energy storage capacity of the user i.
(23) In addition to distributed power supply operating constraints for each of the victims, intra-community transactions also need to satisfy the following power balance constraints:
in the formula (I), the compound is shown in the specification,for the purchased electric power of the nth community to the upper level grid at time t,for the photovoltaic power generation power of the user i at the time t,and (3) trading electric energy for the P2P of the user i at the moment t, wherein the positive state indicates that the user i buys electricity at the moment t, and the negative state indicates that the user i sells electricity at the moment t.
(3) As shown in fig. 2, in order to consider social influence among energy users in each community-level microgrid, the method adopts multi-agent deep reinforcement learning to model the transaction process in each microgrid, and models the whole community-level microgrid as an information-physics-social system.
(31) In order to model deep reinforcement learning, the invention models an end-to-end transaction process in each community as a Markov process, wherein the Markov observation set is as follows:
in the formula (I), the compound is shown in the specification,is an observation set on the power generation side, wherein the meaning of each variable is consistent with that of the corresponding variable in (2),for a set of social network observations within a community,respectively represents the operation difficulty, the communication degree, the information depth, the social influence degree and the influence of the friends of the transaction behavior, the higher the numerical value is, the greater the influence of the item on the transaction result is,is the set of observations across the market.
(32) In addition to the observation set, the present invention builds a Markov action set as follows:
in the formula (I), the compound is shown in the specification,in order to be able to reduce the upper limit of the load,is the upper limit of the interruptible load,is the upper limit of the transferable load,is a markov action value.
(33) After the action set and the state set of the Markov process are obtained, the invention can update the state transition process of each individual according to the action, and the updated state transition is as follows:
the meaning of each variable in the formula (ii) is identical to that of the corresponding variable in (31) and (32).
(34) After obtaining the state transition action, the invention defines the reward function corresponding to the state transition as follows:
in the formula, r i cost,t ,r i uti,t ,r i psy,t ,r i DER,t Respectively represents the electricity selling income, the electricity purchasing utility, the psychological reward keeping consistent with the behavior of energy producers and consumers in the same community and the use and maintenance cost of the distributed power supply,meaning that the net load is averaged,and respectively representing the maintenance cost of photovoltaic and distributed energy storage, and obtaining a return function value by taking the opposite number.
(4) After an energy transaction model inside each community-level microgrid is obtained, matching can be performed between communities so as to further consume the part of total energy excess or shortage inside the communities.
(41) The community P2P matching problem at the entire distribution network level can be written as follows:
in the formula (I), the compound is shown in the specification,for the price community n sells electricity to community m,the amount of electricity sold to community m for community n,active loss for the entire distribution network transaction, p t A vector of contribution powers is formed for each community,for lagrange dual variables corresponding to active balancing,for reactive losses of the entire distribution network transaction, q t Is a vector formed by the reactive output power of each community,for lagrange dual variables corresponding to reactive balance, p min,t ,p max,t Respectively the active output lower limit and the active output upper limit of each community,for corresponding Lagrangian dual variables, q min,t ,q max,t Respectively the lower limit and the upper limit of reactive power output of each community,for corresponding Lagrangian dual variables, v min,t ,v max,t Respectively corresponding to the lower limit and the upper limit of the voltage amplitude for each node,for the corresponding Lagrangian dual variable, | s start,t || 2 Is the square of the complex power amplitude at the beginning of the branch, | s end,t || 2 Is the square of the complex power amplitude at the end of the branch, (S) t ) 2 The upper limit of the complex power amplitude of the whole branch.
(42) In order to minimize the influence of the transaction on the power distribution network when the P2P transaction is matched among communities, the method linearizes the original problem, and then solves the Lagrangian function as follows:
in the formula, pi t Representing the weight of the transaction for community n to community m,respectively representing the effects of energy, loss, node voltage and line blocking on the network, the present invention reduces the impact of inter-community energy trading on the distribution network by minimizing the sum of these matching weights while matching.
(5) After the energy producers and consumers in each community trade according to the multi-agent deep learning algorithm in fig. 4, the energy shortage/excess part of each community can be output, so that the communities are matched, and the sum of the weights of the matching lines is minimized while the best matching result is solved by using the hungarian algorithm in the matching process.
Preferably, an apparatus comprises:
one or more processors;
a memory for storing one or more programs;
when executed by one or more of the processors, cause the one or more processors to implement a bipartite graph matching method for community-level P2P energy trading that takes into account social influences, as described above.
Preferably, a storage medium containing computer executable instructions for performing a bipartite graph matching method for community-level P2P energy trading taking social influence into account as described above when executed by a computer processor.
In the description herein, references to the description of "one embodiment," "an example," "a specific example" or the like are intended to mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the invention. In this specification, the schematic representations of the terms used above do not necessarily refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
The foregoing shows and describes the general principles, essential features, and advantages of the invention. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, which are described in the specification and illustrated only to illustrate the principle of the present invention, but that various changes and modifications may be made therein without departing from the spirit and scope of the present invention, which fall within the scope of the invention as claimed.
Claims (10)
1. A bipartite graph matching method for community-level P2P energy trading taking social influence into account, comprising the steps of:
acquiring use data, wherein the use data comprises user load, electricity price, new energy output range, power generation and utilization preference of users and network parameter data of a power distribution network accessed by a community-level microgrid;
analyzing the end-to-end transaction condition in the community, establishing an internal community transaction optimization model, transmitting the obtained use data serving as parameters into the internal community transaction optimization model, and analyzing the social influence of the transaction in the community;
modeling the transaction process inside each community-level microgrid by using multi-agent deep reinforcement learning to obtain an energy transaction model inside each community-level microgrid;
after an energy transaction model inside each community-level microgrid is obtained, matching is carried out among communities to consume the part of total energy excess or shortage inside the communities, and the matching problem between energy buyers and energy sellers is described in a bipartite graph mode to maximize the income of an energy seller of a matching result and minimize the electricity purchasing cost after an energy buyer is matched;
and after the energy producers and the energy consumers in each community are traded, outputting the energy shortage/excess part of each community so as to match each community, solving the optimal matching result by using the Hungarian algorithm in the matching process, and simultaneously minimizing the weight sum of the matching lines so as to minimize the network passing cost in the trading process.
2. The bipartite graph matching method for community-level P2P energy trading taking social influence into account of claim 1, wherein the user load comprises year-round load data of the user, and the data collection interval of the user load is 15 minutes at a minimum.
3. The bipartite graph matching method for community-level P2P energy trading taking into account social influence as claimed in claim 1, wherein the electricity prices include national uniform peak-valley-average three-hour electricity prices, end-user internet electricity prices; the new energy output range comprises the upper and lower power generation limits of photovoltaic power generation and wind power generation renewable energy; the power generation and utilization preference of the user comprises a cost function of power generation of the user, a utility function of power utilization and the social state of the user; the network parameters of the power distribution network accessed by the community-level microgrid comprise line parameters of the whole power distribution network, fluctuation ranges of voltages of all nodes and a grid structure of the power distribution network.
4. The bipartite graph matching method for community-level P2P energy trading with consideration of social influence according to claim 1, wherein the process of establishing a community internal trading optimization model comprises the steps of:
the internal community transaction optimization model is established as follows:
in the formula (I), the compound is shown in the specification,for the payload of user i at time t,i.e. the utility that user i gets to consume the payload at time t,for the electricity purchasing quantity of the P2P trading market in the community,the E-purchase price of the user i at the P2P at the time t, xi t A set of decision variables for the whole community-level market, the net load and the electricity quantity bought by the user in the P2P trading market in the community;
schedulable resources for each energy producer and consumer in the community include reducible load, interruptible load, transferable load and distributed energy storage, modeled as follows:
in the formula (I), the compound is shown in the specification,representing the set of users i in community n,for the run-time of the entire market,in order to load the total amount of resources for flexibility,respectively, user i can reduce load, interrupt load and transfer load at time t,the amount of load over the total period of time required for the transferable load,for the rigid load of user i at time t,for the payload of user i at time t,charging power for user i at time t, P i cha The rated charging power for the stored energy of user i,charging of stored energy for user iThe status of the mobile station is,discharge power, P, for user i at time t i dis The rated discharge power of the stored energy for user i,is the discharge state of the stored energy of user i,for the energy storage capacity of the user i at the time t,the charging and discharging coefficients of the stored energy of the user i are respectively, delta t is the charging and discharging time step length of the stored energy,the lower limit and the upper limit of the energy storage capacity of the user i.
5. The bipartite graph matching method for community-level P2P energy trading taking social influence into account of claim 4, wherein in addition to the operational constraints of the distributed power sources of energy producers and consumers, the intra-community trading needs to satisfy the following power balance constraints:
in the formula (I), the compound is shown in the specification,for the nth community's purchased power to the upper grid at time t,for the photovoltaic power generation power of the user i at the time t,transacting electric energy for P2P of user i at time t whenPositive indicates that user i buys power at time t whenA negative indicates that user i sells at time t.
6. The bipartite graph matching method for community-level P2P energy trading taking social influence into account of claim 1, wherein the process of obtaining the energy trading model inside each community-level microgrid comprises:
modeling an end-to-end transaction process within each community as a Markov process, wherein the Markov observations are set as follows:
in the formula (I), the compound is shown in the specification,is an observation set on the power generation side, and t representsThe index between the two or more of the data blocks,representing the P2P transaction electricity price of user i at time t,representing the photovoltaic power generation power of the user i at the time t,a value representing the stiffness load of the user i,indicating the energy storage capacity of the user i at the time t,for a set of social network observations within a community,respectively represents the operation difficulty, the communication degree, the information depth, the social influence degree and the influence of the friends of the transaction behavior, the higher the numerical value is, the greater the influence on the transaction result is,is an observation set of the whole market;
the Markov action set is built up as follows:
in the formula (I), the compound is shown in the specification,in order to be able to reduce the upper limit of the load,an upper limit for the interruptible load is,is an upper limit of the transferable load,is a Markov action value;
after the markov action set and the markov observation set are obtained, the state transition process of each individual can be updated according to the action, and the updated state transition is as follows:
7. the bipartite graph matching method for community-level P2P energy trading with social influence taken into account according to claim 6, wherein after obtaining the state transition, a reward function corresponding to the state transition is defined as follows:
in the formula (I), the compound is shown in the specification,respectively represent the electricity selling income and the electricity purchasing utility,
formula (II)Psychological rewards to keep energy producers and consumers in the same community behaving consistently and the cost of using and maintaining distributed power sources,meaning that the payload is averaged,and respectively representing the maintenance cost of photovoltaic and distributed energy storage, and obtaining a return function value by taking the opposite number.
8. The bipartite graph matching method for community-level P2P energy trading taking social influence into account of claim 1, wherein the matching between communities comprises:
the community P2P matching problem is written as follows:
in the formula (I), the compound is shown in the specification,the price for community n to sell electricity to community m,the amount of electricity sold to community m for community n,active loss, p, for the entire distribution network transaction t A vector of contribution powers is formed for each community,for lagrange dual variables corresponding to active balancing,reactive loss, q, for entire distribution network transactions t Is a vector formed by the reactive output power of each community,for corresponding reactive power balanceLagrange dual variable, p min,t ,p max,t Respectively the active output lower limit and the active output upper limit of each community,for corresponding Lagrangian dual variables, q min,t ,q max,t Respectively the lower limit and the upper limit of reactive power output of each community,for corresponding Lagrangian dual variables, v min,t ,v max,t Respectively corresponding to the lower limit and the upper limit of the voltage amplitude for each node,for the corresponding Lagrangian dual variable, | | s start,t || 2 Is the square of the complex power amplitude at the beginning of the branch, | s end,t || 2 Is the square of the complex power amplitude at the end of the branch, (S) t ) 2 The upper limit of the complex power amplitude of the whole branch circuit is set;
in order to minimize the influence of transactions on a power distribution network when P2P transactions are matched among communities, the P2P matching problem of the communities is linearized, and then a Lagrangian function is solved as follows:
9. An apparatus, comprising:
one or more processors;
a memory for storing one or more programs;
when executed by one or more of the processors, cause the one or more processors to implement a bipartite graph matching method for community-level P2P energy trading with consideration of social influences as claimed in any one of claims 1-8.
10. A storage medium containing computer executable instructions which when executed by a computer processor are adapted to perform a bipartite graph matching method for community-level P2P energy trading taking social influence into account as claimed in any of claims 1-8.
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CN116934115A (en) * | 2023-07-18 | 2023-10-24 | 天津大学 | Real-time end-to-end energy transaction method considering time-varying virtual energy storage |
CN116934115B (en) * | 2023-07-18 | 2024-04-09 | 天津大学 | Real-time end-to-end energy transaction method considering time-varying virtual energy storage |
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