CN111950809B - Master-slave game-based hierarchical and partitioned optimized operation method for comprehensive energy system - Google Patents
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Abstract
A master-slave game-based hierarchical and partitioned optimization operation method for an integrated energy system comprises the following steps: establishing a master-slave game layered partition architecture of the multi-park comprehensive energy system; establishing a game main body optimization model of the multi-park comprehensive energy system and a game subordinate body optimization model of the multi-park comprehensive energy system based on a master-slave game layered partition framework of the multi-park comprehensive energy system; the game main body optimization model of the multi-park comprehensive energy system and the game slave body optimization model of the multi-park comprehensive energy system are combined to jointly form a master-slave game double-layer optimization operation model of the multi-park comprehensive energy system, and the master-slave game double-layer optimization operation model of the multi-park comprehensive energy system is solved by combining a chaotic self-adaptive particle swarm algorithm and a mixed integer linear programming method. The invention effectively exerts the complementary and cooperative advantages among various energy sources of cold, heat, electricity and gas, further reduces the comprehensive operation cost of the system and realizes the economic, flexible and cooperative optimization operation of the comprehensive energy system of multiple parks.
Description
Technical Field
The invention relates to an optimized operation method of a comprehensive energy system. In particular to a master-slave game-based hierarchical and partitioned optimized operation method of an integrated energy system.
Background
With the increasing exhaustion of global fossil energy and the gradual aggravation of environmental pollution problems, renewable energy sources such as wind energy, solar energy, geothermal energy and the like are more and more valued, and the world energy pattern faces a huge challenge. The comprehensive energy system is used as a natural extension of a micro-grid, integrates various distributed energy sources and traditional energy sources such as cold, heat, electricity, gas and the like, can realize the gradient high-efficiency utilization of energy, and becomes an important means for green, high-efficiency and sustainable utilization of energy at present.
A plurality of energy devices are integrated in the comprehensive energy system, different types of energy are tightly coupled and flexibly converted, and energy management and optimized operation are the key points of current comprehensive energy research. The existing literature focuses on single energy buildings or micro-grids in parks, researches on collaborative optimization operation of multiple comprehensive energy parks in the area are less, and multi-type energy interactive support among different parks is less considered. Therefore, the master-slave game-based hierarchical and partitioned optimization operation research of the multi-park comprehensive energy system has important significance.
Disclosure of Invention
The invention aims to solve the technical problem of providing a master-slave game-based comprehensive energy system layered and partitioned optimal operation method which can give full play to the energy interaction support advantage between parks and gives consideration to the benefits between the whole system and individual parks.
The technical scheme adopted by the invention is as follows: a master-slave game-based hierarchical and partitioned optimization operation method for an integrated energy system comprises the following steps:
1) establishing a master-slave game layering partition architecture of the multi-park comprehensive energy system, wherein the master-slave game layering partition architecture comprises a system layer and a park layer;
2) establishing a game main body optimization model of the multi-park comprehensive energy system and a game subordinate body optimization model of the multi-park comprehensive energy system based on the master-slave game layered partition framework of the multi-park comprehensive energy system established in the step 1);
3) combining the game main body optimization model of the multi-park comprehensive energy system established in the step 2) with the game slave body optimization model of the multi-park comprehensive energy system to jointly form a master-slave game double-layer optimization operation model of the multi-park comprehensive energy system, and solving the master-slave game double-layer optimization operation model of the multi-park comprehensive energy system by adopting a chaotic self-adaptive particle swarm algorithm and a mixed integer linear programming method.
The master-slave game-based hierarchical and partitioned optimized operation method of the comprehensive energy system has the following advantages:
1. the invention considers the interaction of various energies between gardens, can exert the interaction support advantages of different garden areas and promote the energy supply and demand balance.
2. According to the invention, by establishing the master-slave game double-layer optimization operation model of the multi-park integrated energy system, the benefits of the whole integrated energy system and the park individual can be reasonably considered, and the method is more suitable for practical application.
3. The invention can effectively exert the complementary and cooperative advantages among various energy sources of cold, heat, electricity and gas, further reduce the comprehensive operation cost of the system and realize the economic, flexible and cooperative optimized operation of the comprehensive energy system of multiple parks.
Drawings
FIG. 1 is a principal and subordinate game hierarchical partition architecture diagram of a multi-campus energy complex of the present invention;
FIG. 2 is a flow chart of a master-slave game double-layer optimization operation model solving process of the multi-park comprehensive energy system;
FIG. 3 is a block diagram of a typical example of a multi-park integrated energy system in accordance with an embodiment of the present invention
FIG. 4a is a graph illustrating energy load and wind/solar power forecast for a residential quarter in an embodiment of the present invention;
FIG. 4b is a graph illustrating energy load and wind/solar power forecast for an industrial park in accordance with an embodiment of the present invention;
FIG. 4c is a graph of energy load and wind/solar power forecast for a commercial park in accordance with an embodiment of the present invention;
FIG. 5 is a comparison graph of system flexibility margins under different scenarios in the example of the present invention
FIG. 6a is a result of scheduling for optimizing the energy flow of power supply and demand in a park according to an embodiment of the present invention;
FIG. 6b is the result of the optimized scheduling of the natural gas energy supply and demand flow in the park according to the embodiment of the present invention;
FIG. 6c is a diagram illustrating the result of the optimized scheduling of the energy flow of heat energy supply and demand in the park according to an embodiment of the present invention;
FIG. 6d is the result of scheduling optimization of energy flow for cooling energy supply and demand in the campus according to the embodiment of the present invention.
Detailed Description
The method for the layered and partitioned optimized operation of the comprehensive energy system based on the master-slave game is described in detail below with reference to the embodiments and the accompanying drawings.
The invention discloses a master-slave game-based comprehensive energy system layered and partitioned optimal operation method, which comprises the following steps of:
1) establishing a master-slave game layering partition architecture of the multi-park comprehensive energy system, wherein the master-slave game layering partition architecture comprises a system layer and a park layer; as shown in fig. 1, specifically:
the main body of the system layer is an energy scheduling center which is used as an upper leader, and the centralized scheduling of the system is realized by issuing a regulation and control instruction to each park; the main body of the park layer is a commercial park operator, an industrial park operator and a residential park operator which are used as lower-layer followers, and each park operator realizes self optimized operation by optimizing the output dispatching plan of internal equipment on the basis of an energy dispatching center instruction; the system layer and the park layer have benefit interaction to form a typical game pattern, so that the double-layer optimization problem of the multi-park integrated energy system is described as a master-slave game problem of a leader and a plurality of followers, and a master-slave game hierarchical partition architecture G of the multi-park integrated energy system is as follows:
G={(COi∪EDC),{SCOi},{SEDC},{BCOi},{BEDC}}
in the formula, COi and EDC respectively represent a park i operator and an energy dispatching center; sCOi、SEDCRespectively a strategy set of a park i operator and an energy dispatching center; b isCOi、BEDCRespectively for the operator of campus i and the energy dispatching center.
2) Establishing a game main body optimization model of the multi-park comprehensive energy system and a game subordinate body optimization model of the multi-park comprehensive energy system based on the master-slave game layered partition framework of the multi-park comprehensive energy system established in the step 1); wherein the content of the first and second substances,
(1) the game main body optimization model of the multi-park integrated energy system takes the minimum integrated operation cost of the multi-park integrated energy system as a target function and takes the energy purchasing constraint, the energy interaction constraint and the system flexibility constraint as constraint conditions. Wherein the content of the first and second substances,
(1.1) the objective function expression of the game subject optimization model of the multi-park integrated energy system is as follows:
in the formula: eEDCThe comprehensive operation cost of the comprehensive energy system of the multiple parks is reduced; including cost of energy purchaseLoss costAnd environmental protection costT is a scheduling period of 24 h;andrespectively representing the electricity purchasing quantity, the gas purchasing quantity and the heat purchasing quantity of the park i in the time period t;andrespectively the electricity purchase, gas purchase and heat purchase prices in the time period t; beta is ap、βgAnd betahRespectively obtaining equivalent carbon emission coefficients of electricity, gas and heat purchased from the system to an external network; alpha is the treatment cost of unit carbon emission;andrespectively, the electric and pneumatic power interaction between the parks i and j, andγp、γgthe electric and pneumatic power transmission loss coefficients are respectively.
(1.2) the constraint conditions of the game main body optimization model of the multi-park integrated energy system are specifically expressed as follows:
(1.2.1) energy purchase constraints:
in the formula, Pb,i,max、Gb,i,maxAnd Hb,i,maxRespectively purchasing electricity, gas and heat power upper limits of the park i; pb,max、Gb,maxAnd Hb,maxRespectively purchasing electricity, gas and heat from the system to an external network;
(1.2.2) energy interaction constraint
In the formula, Pij,max、Gij,maxThe upper limits of the electric power and the pneumatic power interaction between the parks i and j are respectively;the power and gas power interaction directions are respectively, the power flows from the park i to the park j when the direction is positive, and the power flows from the park i to the park j when the direction is negative;
(1.2.3) System flexibility constraints
1≥IEFMt≥IEFMmin
In the formula, IEFMminFlexibility margins for systems IEFMtThe lower limit of (d); k represents energy type, K ═ { p, h, c, g }, p, h, c, g represent electricity, heat, cold, gas, respectively;respectively the actual demand total amount and the maximum allowable supply total amount of the energy type k in the park i in the period t; m, N denote the demand side and supply side sets of units, respectively, of the campus;representing the actual demand of the unit m on the energy type k in the park i in the period t;represents the maximum allowable supply of unit n to energy type k in time period park i.
(2) The game slave optimization model of the multi-park integrated energy system takes the minimum running cost of the park i as an objective function and takes energy balance constraint, energy equipment constraint and park flexibility constraint as constraint conditions. Wherein the content of the first and second substances,
(2.1) the objective function expression of the game slave optimization model of the multi-park integrated energy system is as follows:
in the formula: eCOiFor operating costs of park i, including park i energy purchase costsPark i operation and maintenance costAnd park i sell energy revenueT is a scheduling period of 24 h;andrespectively representing the purchase of the park i in the time period tElectricity quantity, gas purchasing quantity and heat purchasing quantity;andrespectively the electricity purchase, gas purchase and heat purchase prices in the time period t; r is an operation and maintenance equipment set in the park i; p is a radical ofom,rThe unit power operation and maintenance cost of the equipment r;the running power of equipment r in the park i at the time t;andrespectively the electric power interaction quantity and the pneumatic power interaction quantity between the parks i and j;the power interaction directions of electricity and gas are respectively; the price of the power interaction between the park i and the park j in the time period t is respectively the price of the power interaction between the park i and the park j in the time period t.
(2.2) the constraint conditions of the game slave optimization model of the multi-park integrated energy system are specifically expressed as follows:
(2.2.1) energy balance constraints
In the formula (I), the compound is shown in the specification,andoutput electric power of a transformer, a photovoltaic, a fan and a micro-combustion engine in the park i at the time t respectively;respectively the electric, hot, cold and air load power of the park i at the time t;the power consumption of the electric refrigerator in the park i is t time period;the thermal powers of the in-i heat exchanger and the micro-combustion engine in the park at the time t are respectively output;the heat consumption power of the absorption refrigerator in the park i at the time period t;the output cold power of the electric refrigerator and the absorption refrigerator in the park i at the time period t respectively;the air consumption of the micro-combustion engine in the park i at the time t; energy discharge power of electricity storage, heat storage, cold storage and gas storage in the park i at the time t respectively; the charging power of electricity storage, heat storage, cold storage and gas storage in the park i at the time t is respectively.
(2.2.2) energy plant restraint
In the formula, Ppv,i,max、Pwt,i,max、Pt,i,max、Pmt,i,max、Hhe,i,max、Hac,i,maxAnd Pec,i,maxThe maximum values of the operating power of the photovoltaic, wind power, the transformer, the micro-combustion engine, the heat exchanger, the absorption refrigerator and the electric refrigerator in the park i are respectively set; subscript x represents the energy storage type;respectively storing energy charging and discharging power and energy storage states in a park i at a time period t;respectively storing the initial energy and the final energy of energy storage equipment in the park i; ex,i,min、Ex,i,maxRespectively the minimum and maximum energy states of the energy storage equipment in the park i; px,c,i,max、Px,d,i,maxRespectively the maximum charging and discharging power of the energy storage equipment; lambda [ alpha ]x,c,i、λx,d,iRespectively a charge state and a discharge state are 0-1 variables;
(2.2.3) park flexibility constraints
In the formula (I), the compound is shown in the specification,and IEFMi,minRespectively the flexibility margin and the lower limit of the park i at the time period t; k represents energy type, K ═ { p, h, c, g }, p, h, c, g represent electricity, heat, cold, gas, respectively;respectively the actual demand sum and the maximum allowed supply sum of the energy type k in the park i during the period t.
3) Combining the game main body optimization model of the multi-park comprehensive energy system established in the step 2) with the game slave body optimization model of the multi-park comprehensive energy system to jointly form a master-slave game double-layer optimization operation model of the multi-park comprehensive energy system, and solving the master-slave game double-layer optimization operation model of the multi-park comprehensive energy system by adopting a chaotic self-adaptive particle swarm algorithm and a mixed integer linear programming method. Wherein the content of the first and second substances,
(1) the master-slave game double-layer optimization operation model of the multi-park comprehensive energy system is represented as follows:
in the formula, EEDCThe comprehensive operation cost of the comprehensive energy system of the multiple parks is reduced; eCOiThe operating cost for park i; x is the strategy of the upper layer game main body; y isiFor policies from campus i, y-iThe strategy combination of the slave parks except the slave park i;the optimal strategy of the slave park i under the condition of the strategy x of the upper-layer game main body, S (x) is the strategy set of each slave park of the lower layer,the optimal strategy set of all slave parks under the condition of the strategy x of the upper layer game main body is given, namely Nash equilibrium solution of the park layer game, andi=1,2,3。
(2) the solving of the master-slave game double-layer optimization operation model of the multi-park comprehensive energy system by adopting the chaotic self-adaptive particle swarm optimization and combining the mixed integer linear programming method is as follows: the chaotic self-adaptive particle swarm algorithm and the mixed integer linear programming method are comprehensively applied, a Gurobi solver is called through a Yalmip tool box to solve a master-slave game double-layer optimization operation model of the multi-park comprehensive energy system, a layered and partitioned optimization operation scheme of the multi-park comprehensive energy system is obtained, and the solving process is shown in figure 2.
Specific examples are given below.
The invention carries out simulation analysis based on a typical example of a certain energy Internet small town multi-park comprehensive energy system, the specific structure is shown in figure 3, the system mainly comprises residential parks, industrial parks, commercial parks and town energy dispatching centers, the parks are connected through an energy pipe network, the heat/cold water transmission energy loss is large, the system only considers the electricity and gas energy interaction between the parks, and the electricity and gas transmission loss coefficients are respectively set to be 6% and 3%. Energy load and wind-solar output prediction curves of various parks are shown in fig. 4, 4b and 4c, and in order to further promote renewable energy consumption, the wind power and the photovoltaic adopt an MPPT mode. The energy prices are shown in table 1, and the energy trading price between parks is 0.05 yuan higher than the real-time energy price.
TABLE 1 energy prices
In order to verify the effectiveness of the master-slave game double-layer optimization operation strategy provided by the invention, the system optimization operation effect under different strategy combinations is researched in the following 4 scenes.
Scene 1: energy interaction is not considered, and each park is optimized independently.
Scene 2: and only considering the electric energy interaction, and uniformly optimizing the dispatching center.
Scene 3: and considering the interaction of various types of energy of electricity and gas, and uniformly optimizing the dispatching center.
Scene 4: and the interaction of electricity and gas with various types of energy is considered, and the master-slave game is optimized in a double-layer mode.
The system optimization results under different scenarios are shown in table 2.
TABLE 2 comparison of system optimization results under different scenarios
By analyzing and comparing the operation costs in different scenes in the table 1, it can be found that compared with the energy interaction between the garden intervals which is not considered in the scene 1, the comprehensive operation cost of the system can be further reduced by introducing the energy interaction strategies in the scenes 2, 3 and 4, and the economical efficiency of the scenes 3 and 4 which consider the interaction of various types of energy of electricity and gas is better than that of the scene 2 which only considers the interaction of electric energy.
Further analysis on the scenes 3 and 4 shows that the scene 4 adopts the master-slave game double-layer optimization strategy provided by the invention, the comprehensive operation cost of the scene is not much different from that of the scene 3 which performs single-layer optimization by taking the overall economic efficiency of the system as the best target, but the system flexibility margin is obviously improved in the supply and demand tension period (12:00-20:00), as shown in fig. 5. And scene 4 is based on a master-slave game model, different optimization targets and constraint conditions are respectively selected from the upper layer and the lower layer for double-layer optimization, the benefits of a master dispatching center and each slave park can be considered simultaneously, and the method is more suitable for practical application.
Specific analysis is performed on the scene 4, taking a residential park as an example, and the internal multi-energy flow optimization scheduling result is shown in fig. 6a, 6b, 6c and 6 d. In the figure, energy input is shown above the horizontal axis and energy output is shown below the horizontal axis.
It can be seen that the optimized scheduling result is the result of the joint action of multiple factors. On one hand, under the influence of the energy utilization condition and the energy price of the park, the park operator reasonably arranges the output scheduling plan of the whole day by exerting the energy flexible conversion and storage advantages of the multi-type energy equipment; on the other hand, because energy interaction exists between different parks, the energy utilization characteristics and the scheduling plan of other parks also have an influence on the optimal scheduling result of the park.
In summary, the comprehensive energy system layered and partitioned optimization operation method based on the master-slave game can give consideration to the benefits of the whole system and the individual garden, promote energy supply and demand balance, effectively reduce the comprehensive operation cost of the garden, promote energy supply and demand balance, and verify the correctness and the effectiveness of the multi-garden comprehensive energy system layered and partitioned optimization operation method based on the master-slave game.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are also within the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.
Claims (6)
1. A master-slave game-based hierarchical and partitioned optimization operation method of an integrated energy system is characterized by comprising the following steps:
1) establishing a master-slave game layering partition architecture of the multi-park comprehensive energy system, wherein the master-slave game layering partition architecture comprises a system layer and a park layer;
2) establishing a game main body optimization model of the multi-park comprehensive energy system and a game subordinate body optimization model of the multi-park comprehensive energy system based on the master-slave game layered partition framework of the multi-park comprehensive energy system established in the step 1); wherein the content of the first and second substances,
the game main body optimization model of the multi-park integrated energy system takes the minimum integrated operation cost of the multi-park integrated energy system as a target function and takes energy purchasing constraint, energy interaction constraint and system flexibility constraint as constraint conditions; the expression of the target function is as follows:
in the formula:EEDCthe comprehensive operation cost of the comprehensive energy system of the multiple parks is reduced; including cost of energy purchaseLoss costAnd environmental protection costT is a scheduling period of 24 h;andrespectively representing the electricity purchasing quantity, the gas purchasing quantity and the heat purchasing quantity of the park i in the time period t;andrespectively the electricity purchase, gas purchase and heat purchase prices in the time period t; beta is ap、βgAnd betahRespectively obtaining equivalent carbon emission coefficients of electricity, gas and heat purchased from the system to an external network; alpha is the treatment cost of unit carbon emission;andrespectively, the electric and pneumatic power interaction between the parks i and j, andγp、γgthe electric power transmission loss coefficient and the pneumatic power transmission loss coefficient are respectively;
the game slave optimization model of the multi-park integrated energy system takes the minimum running cost of the park i as a target function and takes energy balance constraint, energy equipment constraint and park flexibility constraint as constraint conditions; the expression of the target function is as follows:
in the formula: eCOiFor operating costs of park i, including park i energy purchase costsPark i operation and maintenance costAnd park i sell energy revenueT is a scheduling period of 24 h;andrespectively representing the electricity purchasing quantity, the gas purchasing quantity and the heat purchasing quantity of the park i in the time period t;andrespectively the electricity purchase, gas purchase and heat purchase prices in the time period t; r is an operation and maintenance equipment set in the park i; p is a radical ofom,rThe unit power operation and maintenance cost of the equipment r;for the equipment r in the time zone t iThe operating power of (c);andrespectively the electric power interaction quantity and the pneumatic power interaction quantity between the parks i and j;the power interaction directions of electricity and gas are respectively;respectively the electricity and gas power interaction prices between the parks i and j in the time period t;
3) combining the game main body optimization model of the multi-park comprehensive energy system established in the step 2) with the game slave body optimization model of the multi-park comprehensive energy system to jointly form a master-slave game double-layer optimization operation model of the multi-park comprehensive energy system, and solving the master-slave game double-layer optimization operation model of the multi-park comprehensive energy system by adopting a chaotic self-adaptive particle swarm algorithm and a mixed integer linear programming method.
2. The layered and partitioned optimization operation method of the comprehensive energy system based on the master-slave game as claimed in claim 1, wherein the master-slave game layered and partitioned architecture of the multi-park comprehensive energy system including the system layer and the park layer in step 1) is specifically as follows:
the main body of the system layer is an energy scheduling center which is used as an upper leader, and the centralized scheduling of the system is realized by issuing a regulation and control instruction to each park; the main body of the park layer is a commercial park operator, an industrial park operator and a residential park operator which are used as lower-layer followers, and each park operator realizes self optimized operation by optimizing the output dispatching plan of internal equipment on the basis of an energy dispatching center instruction; the master-slave game layered partition architecture G of the multi-park comprehensive energy system is as follows:
G={(COi∪EDC),{SCOi},{SEDC},{BCOi},{BEDC}}
in the formula, COi and EDC respectively represent a park i operator and an energy dispatching center; sCOi、SEDCRespectively a strategy set of a park i operator and an energy dispatching center; b isCOi、BEDCRespectively for the operator of campus i and the energy dispatching center.
3. The master-slave game-based hierarchical and partitioned optimization operation method of the integrated energy system, according to claim 1, wherein the constraint conditions of the game main body optimization model of the multi-park integrated energy system are specifically expressed as:
(1) energy purchase constraint:
in the formula, Pb,i,max、Gb,i,maxAnd Hb,i,maxRespectively purchasing electricity, gas and heat power upper limits of the park i; pb,max、Gb,maxAnd Hb,maxRespectively purchasing electricity, gas and heat from the system to an external network;
(2) energy interaction constraint
In the formula, Pij,max、Gij,maxThe upper limits of the electric power and the pneumatic power interaction between the parks i and j are respectively;the power and gas power interaction directions are respectively, the power flows from the park i to the park j when the direction is positive, and the power flows from the park i to the park j when the direction is negative;
(3) system flexibility constraints
1≥IEFMt≥IEFMmin
In the formula, IEFMminFlexibility margins for systems IEFMtThe lower limit of (d); k represents energy type, K ═ { p, h, c, g }, p, h, c, g represent electricity, heat, cold, gas, respectively;respectively the actual demand total amount and the maximum allowable supply total amount of the energy type k in the park i in the period t; m, N denote the demand side and supply side sets of units, respectively, of the campus;representing the actual demand of the unit m on the energy type k in the park i in the period t;represents the maximum allowable supply of unit n to energy type k in time period park i.
4. The master-slave game-based hierarchical and partitioned optimization operation method for the integrated energy system, according to claim 1, wherein the constraint conditions of the game slave optimization model of the multi-park integrated energy system are specifically expressed as follows:
(1) energy balance constraint
In the formula (I), the compound is shown in the specification,andrespectively of transformers, photovoltaics, fans and micro-gas turbines in the park i at the time tOutputting electric power;respectively the electric, hot, cold and air load power of the park i at the time t;the power consumption of the electric refrigerator in the park i is t time period;the thermal powers of the in-i heat exchanger and the micro-combustion engine in the park at the time t are respectively output;the heat consumption power of the absorption refrigerator in the park i at the time period t;the output cold power of the electric refrigerator and the absorption refrigerator in the park i at the time period t respectively;the air consumption of the micro-combustion engine in the park i at the time t; energy discharge power of electricity storage, heat storage, cold storage and gas storage in the park i at the time t respectively; energy charging powers of electricity storage, heat storage, cold storage and gas storage in the park i at the time period t respectively;
(2) energy plant restraint
In the formula, Ppv,i,max、Pwt,i,max、Pt,i,max、Pmt,i,max、Hhe,i,max、Hac,i,maxAnd Pec,i,maxThe maximum values of the operating power of the photovoltaic, wind power, the transformer, the micro-combustion engine, the heat exchanger, the absorption refrigerator and the electric refrigerator in the park i are respectively set; subscript x represents the energy storage type;respectively storing energy charging and discharging power and energy storage states in a park i at a time period t;respectively storing the initial energy and the final energy of energy storage equipment in the park i; ex,i,min、Ex,i,maxRespectively the minimum and maximum energy states of the energy storage equipment in the park i; px,c,i,max、Px,d,i,maxRespectively the maximum charging and discharging power of the energy storage equipment; lambda [ alpha ]x,c,i、λx,d,iRespectively a charge state and a discharge state are 0-1 variables;
(3) park flexibility constraints
In the formula (I), the compound is shown in the specification,and IEFMi,minRespectively the flexibility margin and the lower limit of the park i at the time period t; k represents energy type, K ═ { p, h, c, g }, p, h, c, g represent electricity, heat, cold, gas, respectively;respectively the actual demand sum and the maximum allowed supply sum of the energy type k in the park i during the period t.
5. The method for performing hierarchical and partition optimization on the comprehensive energy system based on the master-slave game according to claim 1, wherein the master-slave game double-layer optimization operation model of the multi-park comprehensive energy system in the step 3) is represented as follows:
in the formula, EEDCThe comprehensive operation cost of the comprehensive energy system of the multiple parks is reduced; eCOiThe operating cost for park i; x is the strategy of the upper layer game main body; y isiFor policies from campus i, y-iThe strategy combination of the slave parks except the slave park i;the optimal strategy of the slave park i under the condition of the strategy x of the upper-layer game main body, S (x) is the strategy set of each slave park of the lower layer,the optimal strategy set of all slave parks under the condition of the strategy x of the upper layer game main body is given, namely Nash equilibrium solution of the park layer game, and
6. the method for performing layered and partitioned optimization operation on the comprehensive energy system based on the master-slave game according to claim 1, wherein the solving of the master-slave game double-layer optimization operation model of the multi-park comprehensive energy system by using the chaotic self-adaptive particle swarm algorithm and the mixed integer linear programming method in the step 3) is as follows: and comprehensively applying a chaotic self-adaptive particle swarm algorithm and a mixed integer linear programming method, and calling a Gurobi solver to solve a master-slave game double-layer optimization operation model of the multi-park comprehensive energy system through a Yalmip tool box to obtain a hierarchical and subarea optimization operation scheme of the multi-park comprehensive energy system.
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