CN113961867A - Building type producer and consumer non-cooperative game energy trading method considering market power evaluation - Google Patents
Building type producer and consumer non-cooperative game energy trading method considering market power evaluation Download PDFInfo
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Abstract
The invention discloses a building type producer and consumer non-cooperative game energy trading method considering market force evaluation, which is used for solving the optimal trading decision problem among building type producers and consumers. The model applies the thought of the non-cooperative game, accurately evaluates the market trading potential of the prosumers and the consumers before the trading begins, and establishes the multi-prosumer and consumery non-cooperative game energy trading model considering market force evaluation. Constructing a market trading potential evaluation model of the obstetric and XIAO person according to the physical characteristics and the operation mode of each obstetric and XIAO person; constructing a benefit function of a seller producer and a seller and a market operator based on the characteristics of a non-cooperative game model; and (4) combining the electric energy transaction process of the producer and the consumer and the definition of the pure strategy Nash equilibrium point to obtain an optimal transaction strategy. The method can solve the market trading potential and the optimal trading strategy of the producers and the consumers within a period of continuous time, thereby providing effective support for the correct decision of the power market staff and having certain engineering practical value.
Description
Technical Field
The invention relates to an energy trading method for an electric power market, in particular to a building type producer and consumer non-cooperative game energy trading method considering market force evaluation.
Background
In recent years, the advantages of distributed energy development gradually emerge, and the energy supply mode is transformed from centralized to distributed mode, which is a necessary trend. Under the background, a local electric energy sharing and trading method, namely a point-to-point (P2P) energy trading method, is produced, can effectively reduce the threshold and the trading cost of market trading at a user side, and motivates each market subject to participate in distributed trading, and is widely applied to electric energy trading between producers and consumers at present. However, the distributed energy trading still faces the problems of random user behaviors, random bidding strategies of all the main bodies, complex market relations and the like, so that accurate evaluation of market trading potentials of all the main bodies is urgently needed, and further, game relations among different market main bodies are clarified.
At present, the forms of electric energy sharing and distributed transaction among the producers and the consumers can be basically divided into the following two types: (1) an energy sharing and transaction mechanism based on a cooperative game model; (2) an energy sharing and transaction mechanism based on non-cooperative gaming. In the former, the main form is that each producer and consumer participates in market trading in a federation mode and preferentially consumes the internal surplus electric energy in an energy sharing mode. However, firstly, besides the two variables of electricity price and electricity quantity which are directly related to the trading result, the energy consumption characteristics and controllable potential of the end user are also important factors influencing the trading, and the existing research work, although also involving the research on the load demand response of the production and consumption users, fails to systematically evaluate the market potential of the production and consumption users from the aspect of the energy consumption characteristics of the users. Secondly, the current research on the P2P trading mode based on the non-cooperative game is mostly restricted by the analysis on the trading strategy and the energy management strategy of each producer and consumer at the game equilibrium point, and there is only a few research on deep analysis on the conditions and the influencing factors of the P2P from the game equilibrium point of view. With the further opening of the user side market and the gradual promotion of the decentralized trading mode, the conventional method does not refine the whole process of the producer and the consumer participating in the market trading, can not meet the market potential evaluation requirement in the trading process, and is difficult to formulate an optimal electricity price strategy.
Disclosure of Invention
The purpose of the invention is as follows: the invention aims to provide a building type non-cooperative game energy trading method for the producers and the consumers, which can solve the market power of the producers and the consumers and an optimal trading strategy.
The technical scheme is as follows: the invention relates to a market power evaluation-related multi-producer and consumer non-cooperative game energy trading method, which is used for carrying out market evaluation and solving an optimal trading strategy on an energy utilization system of a public building system, wherein building type producers and consumers are public building users with both electric energy production and consumption capacities, and comprise photovoltaic units for producing electric energy and an operation system for consuming electric energy, and the method comprises the following steps:
(1) constructing a market trading potential evaluation model of the producer and the consumer according to energy utilization equipment and energy consumption thereof contained in an operating system of the producer and the consumer;
(2) constructing utility functions of seller producers and sellers and market operators based on a non-cooperative game model;
(3) and obtaining a Nash equilibrium point through an enumeration experiment according to the actual transaction process, and solving the electricity price at the Nash equilibrium point to obtain an optimal transaction strategy.
In the step (1), the operation system of the building type producer is a building air conditioning system consisting of N1 water chilling units, N2 chilled water pumps, N3 cooling coil fans, N4 cooling water pumps and N5 cooling towers, and a market trading potential evaluation model of the building air conditioning system is shown as the following formula:
in the formula, Pchiller,i、PCHWpump,j、PAHU、PCWpump,mAnd Ptower,nRespectively representing the energy consumption of a water chilling unit, the power of a freezing water pump, the energy consumption of a fan coil, the power of a cooling water pump and the energy consumption of a cooling tower.
The energy consumption of the water chilling unit is calculated according to the following formula:
wherein Q iseThe COP is the energy efficiency ratio of the water chilling unit and is the cooling load on the chilled water circulation side, and is calculated according to the following formula:
wherein r is the load factor of the water chilling unit, namely the cooling load QeAnd rated load QnomRatio of (A) to (B), TeTo the evaporation temperature, TcThe condensing temperature is calculated according to the following formula:
in the formula, TchwrAnd TcwsRespectively representing the return water temperature of chilled water and the supply water temperature of condensed water, QcRepresents the load on the condensed water circulation side, Fchw(mchw) And Fcw(mcw) Is related to the flow rate m of the chilled waterchwAnd the flow rate m of the condensed watercwIs shown as follows:
the freezing water pump and the cooling water pump are both provided with a frequency conversion system, and the power of the freezing water pump and the cooling water pump is calculated according to the following formula:
in the formula: pchw/cw.pumpFor freezing/cooling water pump power, mchw/cwFor freezing/cooling water flow, mchw/cw.nomRated for freezing/cooling water flow, kpAnd ApIs the correlation coefficient.
The heat exchange process of the fan coil is as follows:
in the formula: qroom.kM is the corresponding area cold loadsa,kAnd mchw,kRespectively the wind speed of the fan and the flow of the frozen water in the coil pipe; t ischwsRespectively represents the supply water temperature of chilled water, Tma,kThe temperature of the mixed air inside and outside the inner chamber of the air box can be expressed asMeanwhile, the sum of the flow rates of the chilled water in the coil pipe is equal to the total flow rate of the chilled water in the system:
the energy consumption of the fan coil is calculated according to the following formula:
in the formula: m issa、msa.nomRespectively, the fan speed in the fan coil and its rated value, kf、AfThe correlation coefficient in the process of calculating the energy consumption of the fan coil is determined by the model of the specific fan coil.
The heat dissipation process of the cooling tower is shown as the following formula:
in the formula, mta,nAnd mcw,nRespectively the wind speed and the cooling water flow in the cooling tower; t iscwrAnd TwbRespectively setting the return water temperature of the chilled water and the wet bulb temperature of the cooling tower;
the energy consumption of the cooling tower is calculated according to the following formula:
in the formula: m ista、mta.nomRespectively the wind speed of the fan in the cooling tower and its nominal value.
The step (2) comprises the following steps:
(21) calculating the trading power demand of the producer and the consumer at any moment according to the following formula:
in the formula (I), the compound is shown in the specification,the transaction electric quantity of the z th producer and the z th consumer is represented, and if the transaction electric quantity is positive, the z th producer and the z th consumer are represented as the seller; if it is negative, it indicates that the seller z is at the buyer,respectively representing the photovoltaic load, the fixed load and the central air-conditioning load of the z th producer and consumer at the time t;
(22) establishing a seller producer and seller utility function, and calculating the difference between the electricity selling income and the related cost at the time t as shown in the following formula:
in the formula (I), the compound is shown in the specification,the P2P electricity selling income, the transaction income with the operator, the P2P service expense and the air conditioning load regulation and control cost of the seller producer and the seller producer are respectively calculated as follows:
in the formula, λt bFor the electricity purchase price of the operator,for trade fees between producers and consumers, lambdat dsFor the service fee of the P2P transaction between the producers and the consumers,for the transaction power between the producers and consumers m and x,selling electricity power to the operator for the seller producer m;to quantify the correlation coefficient of economic cost, Tt inIndicating the room temperature, Tt refRepresents the most comfortable room temperature reference temperature of the user;
(23) establishing a utility function of a market operator, and calculating the difference between the income of the retail market of the calculator and the electric energy wholesale cost thereof, wherein the difference is shown as the following formula:
in the formula (I), the compound is shown in the specification,indicating the net profit to the market operator,trading revenue for its electrical energy in retail markets;a service fee charged to it for the inter-destroyer P2P transaction;for its wholesale electricity price cost. Each part is specifically calculated as follows:
in the formula (I), the compound is shown in the specification,indicating sales of buyer, seller and seller by market operatorThe price of the electricity is that the electricity is charged,selling electric power and purchasing electric power for market operators. PtRepresents the total power sold by the operator to the producer and consumer; lambda [ alpha ]t daThe price of electricity is wholesale market.
The electricity price at the nash equilibrium point in the step (3) is calculated according to the following formula:
in the formula (I), the compound is shown in the specification,price of electricity sold, lambda, for seller's dealerst dsFor the service electricity price, lambda, of the market operatort bThe price of electricity is bought for the market,the price of electricity sold in the market is high.
Has the advantages that: compared with the prior art, the invention has the following remarkable advantages: according to the characteristics of the building type producers and consumers, market potential evaluation and game competition relations in the market transaction process are considered, a non-cooperative game energy transaction model which is involved in market force evaluation and applicable to the building type producers and consumers is constructed, the market transaction potential can be evaluated and the optimal transaction strategy can be selected, so that effective support is provided for correct decision making of power market workers, and the building type producers and consumers have high engineering practical value.
Drawings
FIG. 1 is a flow chart of the present invention;
FIG. 2 is a plot of market trade demand for three-parity-producing and three-stills;
FIG. 3 shows the result of evaluation of the trading potential of each building market;
FIG. 4 is a graph of seller buyer utility function change in view of market force assessment;
FIG. 5 is a graph of seller buyer utility function change without regard to market force assessment;
FIG. 6 is a graph of Nash equilibrium solution change as the air conditioning cost factor increases;
fig. 7 is a diagram of nash equilibrium solution changes when the service offer ceiling is lowered.
Detailed Description
The technical scheme of the invention is further explained by combining the attached drawings.
In the specific transaction process, different behaviors of the producers and the consumers can influence the electricity price, but even if the influence is caused, the electricity price at the Nash equilibrium point is still the optimal pricing strategy in the application, and the proving process is as follows:
step 301: any seller producer reduces its P2P quote:
the price of a seller's producer/consumer is reduced toThus is provided withThe quotations of other seller producers and distributors are unchanged, and the service quotations of market operators are unchanged, so that the following steps are provided:
because the service quotation of the market operator is not changed, the regulation and control cost of the air conditioner load is not changed, and the producers and consumers have the following power balance typeTherefore, there are:
thus, when a seller producer decreases an offer, it does not result in an increase in its utility function.
Step 302: any seller producer adds its P2P quote:
when any seller producer/seller increases its P2P transaction quote, there isThe electricity purchase cost of any buyer's producer/seller's producer/is higher than the electricity purchase cost of the remaining producers:
therefore, the electricity purchase cost of any buyer's producer to seller's producer l is higher than that of direct transaction with the operator, so that no producer can choose to transact with the seller's producer l, i.e. the buyer's producer/consumer lWith reference to the above simplification process, one can obtain:
then there areThat is, any seller producer and seller producer can raise the quotation, and the utility function can not be increased, so as to meet the game equilibrium condition.
Step 303: market operators reduce their service offerings:
thus, it is possible to provide,Market operators reduce their service offers without increasing their utility function;
step 304: market operators improve their service offerings: when a market operator increases its service offerings, there areThus, the buyer's seller does not trade, and so onSubtracting the utility functions, then there are:
therefore, the temperature of the molten metal is controlled,market operators increase their service offerings without increasing their utility function.
In summary, at the available game equilibrium point, the electricity selling price of the seller purchase and consumption agent is:and the service electricity prices of market operators are:
the technical effects of the invention are described below by taking a three-person computing system as an example:
the simulation calculation example comprises a market operator and three producers and consumers gathering different public buildings, wherein the building resources gathered by the producer and consumer 1 are two shopping malls, the building resources gathered by the producer and consumer 2 are 2 hotels, and the building resources gathered by the producer and consumer 3 are 2 office buildings.
First, the market trading potential of the producer and the consumer is evaluated, and the potential evaluation result shown in fig. 3 is obtained. It can be seen that the load reduction of the two office buildings aggregated by the prosumers 3 is the largest, and the load reduction of the department store 1 aggregated by the prosumers 1 and the hotel 2 aggregated by the prosumers 2 is smaller. On one hand, the machine set equipped for the two office buildings has higher capacity and larger adjustable space; on the other hand, the reference temperature of the two office buildings is higher, so the temperature adjusting range is larger, and the transaction potential is larger.
As can be seen from fig. 4 and 5, the overall profit of the seller's producer 1 is higher when the market force evaluation is considered. The main reason is that under the flexible regulation strategy, the market power level of each producer and consumer is improved, the electricity selling quantity of the seller producer and consumer is obviously increased, and the overall income of the seller producer and consumer is also improved.
Due to the competitive relationship between the seller's producers and the market operators, and the interference of various influencing factors, the P2P transaction between the producers and the consumers does not always occur, and as can be seen from fig. 6 and 7, when the air conditioner quantization cost coefficient is gradually increased, no influence is caused on the transaction behavior of the producers and the distribution of nash equilibrium points, and only the benefit function of the seller's producers is influenced as can be seen from fig. 6. This is mainly because, in the balance point of the game, the quantified economic cost coefficient of the air conditioning load is not used as a variable affecting the nash balance point, and therefore does not affect the form of the P2P transaction. Secondly, when the upper limit of the service quotation of the market operator is lowered, the trade behavior of the P2P of the producer and the consumer can be seen to be obviously changed, so that the market operator can quantitatively set the upper limit of the service expense according to the upper limit, thereby limiting or promoting the trade between the producer and the consumer.
The effectiveness and the practicability of the model constructed by the invention are verified by the above proof and simulation results. The market trading potential evaluation result of the prosumer and the optimal P2P trading strategy can be obtained through the market force evaluation model and the non-cooperative game model, and the result has good economy, so that effective support can be provided for the correct decision of market staff, and certain engineering practical value is achieved.
Claims (8)
1. A building type producer and consumer non-cooperative game energy trading method considering market force evaluation is used for carrying out market evaluation on an energy utilization system of a public building system and solving an optimal trading strategy, and is characterized in that the building type producer and consumer is a public building user with both electric energy production and consumption capacity and comprises a photovoltaic unit for producing electric energy and an operation system for consuming electric energy, and the method comprises the following steps:
(1) constructing a market trading potential evaluation model of the producer and the consumer according to energy utilization equipment and energy consumption thereof contained in an operating system of the producer and the consumer;
(2) constructing utility functions of seller producers and sellers and market operators based on a non-cooperative game model;
(3) and obtaining a Nash equilibrium point through an enumeration experiment according to the actual transaction process, and solving the electricity price at the Nash equilibrium point to obtain an optimal transaction strategy.
2. The building type producer non-cooperative game energy trading method considering market force assessment according to claim 1, wherein in the step (1), the building type producer is a building air conditioning system consisting of N1 water chilling units, N2 chilled water pumps, N3 cooling coil fans, N4 cooling water pumps and N5 cooling towers, and the market trading potential assessment model is as follows:
in the formula, Pchiller,i、PCHWpump,j、PAHU、PCWpump,mAnd Ptower,nRespectively representing the energy consumption of a water chilling unit, the power of a freezing water pump, the energy consumption of a fan coil, the power of a cooling water pump and the energy consumption of a cooling tower.
3. The building type producer and consumer non-cooperative game energy trading method considering market force assessment according to claim 2, wherein the energy consumption of the chiller is calculated according to the following formula:
wherein Q iseThe COP is the energy efficiency ratio of the water chilling unit and is the cooling load on the chilled water circulation side, and is calculated according to the following formula:
wherein r is the load factor of the water chilling unit, namely the cooling load QeAnd rated load QnomRatio of (A) to (B), TeTo the evaporation temperature, TcThe condensing temperature is calculated according to the following formula:
in the formula, TchwrAnd TcwsRespectively representing the return water temperature of chilled water and the supply water temperature of condensed water, QcRepresents the load on the condensed water circulation side, Fchw(mchw) And Fcw(mcw) Is related to the flow rate m of the chilled waterchwAnd the flow rate m of the condensed watercwThe empirical formula of (2) is shown as follows:
4. the building type producer and consumer non-cooperative game energy trading method considering market force assessment according to claim 2, wherein the chilled water pump and the cooling water pump are both provided with a frequency conversion system, and the power of the chilled water pump and the cooling water pump is calculated according to the following formula:
in the formula: pchw/cw.pumpFor freezing/cooling water pump power, mchw/cwFor freezing/cooling water flow, mchw/cw.nomRated for freezing/cooling water flow, kpAnd ApIs the correlation coefficient.
5. The building type producer and consumer non-cooperative game energy trading method considering market force assessment according to claim 2, wherein the heat exchange process of the fan coil is as follows:
in the formula: qroom.kM is the corresponding area cold loadsa,kAnd mchw,kRespectively the wind speed of the fan and the flow of the frozen water in the coil pipe; t ischwsRespectively represents the supply water temperature of chilled water, Tma,kThe temperature of the mixed air inside and outside the inner chamber of the air box can be expressed asSimultaneously the flow of the cold water in the coil pipeThe sum equals the total flow of chilled water in the system:
the energy consumption of the fan coil is calculated according to the following formula:
in the formula: m issa、msa.nomRespectively, the fan speed in the fan coil and its rated value, kf、AfThe correlation coefficient in the process of calculating the energy consumption of the fan coil is determined by the model of the specific fan coil.
6. The building type producer non-cooperative game energy trading method considering market force assessment according to claim 2, wherein the heat dissipation process of the cooling tower is as follows:
in the formula, mta,nAnd mcw,nRespectively the wind speed and the cooling water flow in the cooling tower; t iscwrAnd TwbRespectively setting the return water temperature of the chilled water and the wet bulb temperature of the cooling tower;
the energy consumption of the cooling tower is calculated according to the following formula:
in the formula: m ista、mta.nomWind speed of the fan in the cooling tower and its nominal value, kf、AfIs the correlation coefficient.
7. The building type producer non-cooperative game energy trading method taking market force assessment into account of claim 2, wherein the step (2) comprises the steps of:
(21) calculating the trading power demand of the producer and the consumer at any moment according to the following formula:
in the formula (I), the compound is shown in the specification,the transaction electric quantity of the z th producer and the z th consumer is represented, and if the transaction electric quantity is positive, the z th producer and the z th consumer are represented as the seller; if it is negative, it indicates that the seller z is at the buyer,respectively representing the photovoltaic load, the fixed load and the central air-conditioning load of the z th producer and consumer at the time t;
(22) establishing a seller producer and seller utility function, and calculating the difference between the electricity selling income and the related cost at the time t as shown in the following formula:
in the formula (I), the compound is shown in the specification,P2P sales revenue, transaction revenue with operator, P2P service expenses, and air conditioning burden for seller producers and sellers, respectivelyThe load control cost is calculated as follows:
in the formula (I), the compound is shown in the specification,for the electricity purchase price of the operator,for the transaction fee between the parity producing and consumption persons,for the service fee of the P2P transaction between the producers and the consumers,for the transaction power between the producers and consumers m and x,selling electricity power to the operator for the seller producer m;to quantify the correlation coefficient of economic cost, Tt inIndicating the room temperature, Tt refRepresents the most comfortable room temperature reference temperature of the user;
(23) establishing a utility function of a market operator, and calculating the difference between the income of the retail market of the calculator and the electric energy wholesale cost thereof, wherein the difference is shown as the following formula:
in the formula (I), the compound is shown in the specification,indicating the net profit to the market operator,trading revenue for its electrical energy in retail markets;a service fee charged to it for the inter-destroyer P2P transaction;for its wholesale electricity price cost. Each part is specifically calculated as follows:
in the formula (I), the compound is shown in the specification,represents the electricity selling price of the buyer, the producer and the consumer by the market operator,selling electric power and purchasing electric power for market operators. PtRepresents the total power sold by the operator to the producer and consumer;the price of electricity is wholesale market.
8. The building type producer and consumer non-cooperative game energy trading method in consideration of market force assessment according to claim 2, wherein the electricity price at nash equilibrium point in the step (3) is calculated as follows:
in the formula (I), the compound is shown in the specification,the selling price of the electricity of the agent is generated and consumed for the seller,for the service electricity rate of the market operator,the price of electricity is bought for the market,the price of electricity sold in the market is high.
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CN115271438B (en) * | 2022-07-27 | 2023-07-25 | 河海大学 | Multi-main-body game collaborative scheduling method capable of considering carbon emission and electronic equipment |
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