CN112861335B - P2G and energy storage-containing low-carbon economic dispatching method for comprehensive energy system - Google Patents
P2G and energy storage-containing low-carbon economic dispatching method for comprehensive energy system Download PDFInfo
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Abstract
Description
技术领域technical field
本发明属于综合能源系统运行优化技术领域,具体来说,涉及一种含P2G及储能的综合能源系统低碳经济调度方法。The invention belongs to the technical field of operation optimization of an integrated energy system, and specifically relates to a low-carbon economic scheduling method for an integrated energy system including P2G and energy storage.
背景技术Background technique
近年来,中国可再生能源产业发展迅速。截至2020年6月底,全国可再生能源(风/光)装机容量达4.33亿千瓦。然而,由于风光资源分布不均衡、电网投资运维成本高、市场交易机制不完善等原因,目前我国的可再生能源处在利用效率低、投资效益不足、市场竞争力弱的困境中。随着可再生能源快速发展,传统财政直补方式的压力日益增加。In recent years, China's renewable energy industry has developed rapidly. As of the end of June 2020, the national renewable energy (wind/light) installed capacity reached 433 million kilowatts. However, due to the unbalanced distribution of wind and solar resources, the high cost of grid investment and operation and maintenance, and the imperfect market trading mechanism, my country's renewable energy is currently in the predicament of low utilization efficiency, insufficient investment returns, and weak market competitiveness. With the rapid development of renewable energy, the pressure of traditional direct financial subsidies is increasing.
为缓解可再生能源面临的困境,P2G(电转气(powerto gas,P2G)作为IES中核心环节可将低谷时无法被消纳的剩余风电转化为天然气并联合储能装置(energy storagesystem,ESS)和各类能源转换装置(如冷热电联供系统(combined cooling,heating andpower,CCHP))互联运行,实现联供系统之间的强耦合,从而提高系统运行灵活性,增强其对风电的消纳能力,而碳交易市场的出现使得电转气不仅能消纳风电的同时还能参与碳交易,降低综合能源系统经济成本,将碳减排,更好引导社会良性发展。In order to alleviate the plight of renewable energy, P2G (power to gas, P2G), as the core link in IES, can convert the remaining wind power that cannot be absorbed in low valleys into natural gas and combine energy storage system (ESS) and Various energy conversion devices (such as combined cooling, heating and power, CCHP) are interconnected to achieve strong coupling between the combined cooling and heating systems, thereby improving the flexibility of system operation and enhancing its absorption of wind power capacity, and the emergence of the carbon trading market enables power-to-gas not only to absorb wind power, but also to participate in carbon trading, reduce the economic cost of the comprehensive energy system, reduce carbon emissions, and better guide the healthy development of society.
发明内容Contents of the invention
技术问题:本发明所要解决的技术问题为提供一种考虑综合能源系统的使用成本约束条件,考虑综合能源系统中各设备运行特性的约束条件,考虑综合能源系统中各设备本身的减碳经济效益,降低综合能源系统运行维护成本的含电转气设备P2G及储能的综合能源系统低碳经济调度方法。Technical problem: The technical problem to be solved by the present invention is to provide a method that considers the use cost constraints of the integrated energy system, considers the constraints of the operating characteristics of each equipment in the integrated energy system, and considers the carbon reduction economic benefits of each equipment in the integrated energy system , a low-carbon economic scheduling method for integrated energy systems including power-to-gas equipment P2G and energy storage that reduces the operation and maintenance costs of integrated energy systems.
技术方案:为解决上述技术问题,本发明提出一种含P2G及储能的综合能源系统运行低碳经济调度方法,包括以下步骤:Technical solution: In order to solve the above technical problems, the present invention proposes a low-carbon economic scheduling method for the operation of an integrated energy system including P2G and energy storage, including the following steps:
步骤10)建立综合能源系统运行优化模型,包括燃气轮机、燃气锅炉、电转气设备P2G、蓄电池、电制冷机、电热锅炉、余热锅炉、换热装置、蓄热槽、风电机组和光伏机组;Step 10) Establish an integrated energy system operation optimization model, including gas turbines, gas boilers, power-to-gas equipment P2G, batteries, electric refrigerators, electric boilers, waste heat boilers, heat exchange devices, heat storage tanks, wind turbines and photovoltaic units;
步骤20)建立电转气设备运行机制参与碳交易机制模型;Step 20) Establishing a model of the power-to-gas equipment operation mechanism participating in the carbon trading mechanism;
步骤30)将步骤20)中建立的电转气设备运行机制参与碳交易机制模型加入至步骤10)中建立的综合能源系统运行优化模型中。Step 30) Add the power-to-gas equipment operation mechanism participating in carbon trading mechanism model established in step 20) to the integrated energy system operation optimization model established in step 10).
所述的步骤10)中,建立综合能源系统运行优化模型的过程为:In the described step 10), the process of establishing an integrated energy system operation optimization model is:
步骤101)建立综合能源系统运行优化模型中的出力成本模型,其中,综合能源系统IES购买燃料成本模型为式(1):Step 101) Establish the output cost model in the integrated energy system operation optimization model, wherein, the integrated energy system IES purchase fuel cost model is formula (1):
式(1)中,fgas为购买燃料的单位热值价格;为m台联供燃气轮机GT共同发电功率;为n台燃气锅炉GB共同产热功率;α,β,γ为燃气轮机GT燃料成本系数;ηGB为燃气锅炉GB的产热效率;Δt为调度时段步长;In formula (1), f gas is the price per unit calorific value of purchased fuel; Co-generated power for m sets of gas turbines GT; is the common heat production power of n gas-fired boilers GB; α, β, γ are the fuel cost coefficients of gas turbine GT; η GB is the heat production efficiency of gas-fired boiler GB; Δt is the step size of the scheduling period;
综合能源系统IES购电费用与电网交互费用如式(2)、(3)所示:The integrated energy system IES power purchase cost and grid interaction cost are shown in formulas (2) and (3):
上式中,ft,grid为t时段综合能源系统IES交换功率的价格,当值大于0的时候表示综合能源系统IES向大电网购电,小于0的时候表示综合能源系统IES向大电网售电以获取利润,分别表示t时段系统向大电网购电、售电的价格,用分段函数表示如式(3)所示;Pt,grid为t时段综合能源系统IES与大电网交换的功率;In the above formula, f t,grid is the exchange power price of the integrated energy system IES in the t period. When the value is greater than 0, it means that the integrated energy system IES purchases electricity from the large power grid; when it is less than 0, it means that the integrated energy system IES sells electricity to the large grid. electricity for profit, Respectively represent the price of electricity purchased and sold by the system from the large power grid during the period t, expressed as a piecewise function as shown in formula (3); P t,grid is the power exchanged between the integrated energy system IES and the large power grid during the period t;
综合能源系统IES中储能装置ESS运行成本的公式为:The formula for the operating cost of the energy storage device ESS in the integrated energy system IES is:
上式中:蓄电池ES每次充放电使用成本相同,则fr为蓄电池ES单次完全充放电的成本,fpur为购买价格,Mcyc为充放电次数;为t时段蓄电池ES的充放电功率; 为t时段蓄热槽HS的充放热功率;fcap为蓄电池ES的容量;In the above formula: the cost of each charge and discharge of the battery ES is the same, then f r is the cost of a single complete charge and discharge of the battery ES, f pur is the purchase price, and M cyc is the number of charge and discharge; is the charging and discharging power of the battery ES in the period t; is the charging and discharging power of the heat storage tank HS during the period t; f cap is the capacity of the battery ES;
综合能源系统IES运行维修成本公式为式(6):The formula for IES operation and maintenance cost of integrated energy system is formula (6):
式中,Ki为综合能源系统IES维护运行费用系数;Pi,t为第i台设备在t时段的出力;In the formula, K i is the IES maintenance and operation cost coefficient of the integrated energy system; P i,t is the output of the i-th equipment in the period t;
综合能源系统IES碳交易成本公式为式(7):The formula of IES carbon transaction cost of integrated energy system is formula (7):
Ft,ct=fco2(-Mp2g-Mp)Pt,p2g+fc(MGT-Mm)Pt,GT 式(7)F t,ct =f co2 (-M p2g -M p )P t,p2g +f c (M GT -M m )P t,GT formula (7)
上式中,fco2、fc分别表示购买CO2的价格系数与碳向外排放的价格系数;MGT为燃气轮机GT的碳排放强度,Mm为其碳排放分配额;Pt,GT为t时段燃气轮机GT的发电量;In the above formula, f co2 and f c represent the price coefficient of purchasing CO 2 and the price coefficient of carbon emission; M GT is the carbon emission intensity of gas turbine GT, and M m is its carbon emission allocation; P t,GT is The power generation of the gas turbine GT in the period t;
步骤102)建立综合能源系统IES运行优化模型中各设备的运行约束模型,其中电气母线平衡方程为式(8):Step 102) Establish the operation constraint model of each equipment in the IES operation optimization model of the integrated energy system, wherein the electrical bus balance equation is formula (8):
Pt,WT+Pt,PV+Pt,GT+Pt,grid+Pt,ES,D-Pt,P2G-Pt,ER-Pt,EB-Pt,ES,C-Lt,E=0 式(8)P t,WT +P t,PV +P t,GT +P t,grid +P t,ES,D -P t,P2G -P t,ER -P t,EB -P t,ES,C -L t, E = 0 Formula (8)
式(8)中,Pt,WT、Pt,PV分别表示t时段风机机组与光伏机组的出力kW;Pt,GT表示t时段燃气轮机输出的电功率;Pt,grid表示t时段系统与电网的交换功率kW;Pt,ES,C、Pt,ES,D分别表示t时段蓄电池充放电功率;Pt,P2G表示t时段电转气设备P2G输入的电功率;Pt,ER表示t时段电制冷机输入的电功率;Pt,EB表示t时段电热锅炉输入的电功率;Lt,E表示t时段用户电负荷;In formula (8), P t,WT , P t,PV represent the output kW of the fan unit and the photovoltaic unit during the period t; P t,GT represents the electric power output by the gas turbine during the period t ; P t,ES,C , P t,ES,D respectively represent the charging and discharging power of the battery during the t period; P t ,P2G represent the electric power input by the power-to-gas equipment P2G during the t period; The electric power input by the refrigerator; P t, EB represents the electric power input by the electric heating boiler during the t period; L t, E represents the user's electric load during the t period;
空气母线平衡方程为式(9):The air bus balance equation is formula (9):
ηERQt,ER-Lt,C=0 式(9)η ER Q t,ER -L t,C =0 Formula (9)
式(9)中,ηER为吸收式制冷机制冷效率;Qt,ER表示t时段制冷机产冷功率;Lt,C表示t时段用户冷负荷;In formula (9), η ER is the cooling efficiency of the absorption refrigerator; Q t,ER represents the cooling power of the refrigerator during the t period; L t,C represents the cooling load of the user during the t period;
烟气母线平衡方程为式(10):The balance equation of the flue gas busbar is formula (10):
ηGTPt,GT-Qt,WH=0 式(10)η GT P t,GT -Q t,WH =0 Formula (10)
式(10)中,ηGT为燃气轮机的产热效率;Qt,WH表示t时段余热锅炉产热出力;In formula (10), η GT is the heat production efficiency of the gas turbine; Q t,WH represents the heat production output of the waste heat boiler during the period t;
蒸汽母线平衡方程为式(11):The steam bus balance equation is formula (11):
ηWHQt,WH+Qt,GB+Qt,HS,D-Qt,HS,C-Qt,HX=0 式(11)η WH Q t,WH +Q t,GB +Q t,HS,D -Q t,HS,C -Q t,HX =0 Formula (11)
式(11)中,ηWH为余热锅炉的转换效率;Qt,GB表示t时段燃气锅炉的产热功率;Qt,HS,C、Qt,HS,D分别表示t时段蓄热槽的储放热功率;In formula (11), η WH is the conversion efficiency of the waste heat boiler; Q t,GB represents the heat production power of the gas-fired boiler during the t period; Q t,HS,C and Q t,HS,D represent the heat storage capacity Heat storage and discharge power;
热水母线平衡方程为式(12):The hot water bus balance equation is formula (12):
ηHXQt,HX-Lt,H=0 式(12)η HX Q t,HX -L t,H =0 Formula (12)
式(12)中:ηHX为换热器的转换效率;Qt,HX表示t时段换热器的热出力;Lt,H表示t时段用户热负荷;In the formula (12): η HX is the conversion efficiency of the heat exchanger; Q t,HX represents the heat output of the heat exchanger in the period t; L t,H represents the heat load of the user in the period t;
综合能源系统IES与电网交互状态约束为式(13):The interactive state constraints of the integrated energy system IES and the grid are expressed as formula (13):
式中,Pmax,buy、Pmax,sell分别表示综合能源系统IES向电网交互的最大购电量与售电量;Kbuy、Ksell分别表示综合能源系统IES向电网交互时购电、售电的状态,二者是相互排斥的;In the formula, P max,buy and P max,sell represent the maximum power purchase and sale of the integrated energy system IES to the grid, respectively; state, the two are mutually exclusive;
电转气设备P2G约束为式(14):The P2G constraint of power-to-gas equipment is formula (14):
式(14)中,Pmin,P2G、Pmax,P2G分别表示电转气设备P2G工作功率的最小值与最大值kW;Rdown,P2G、Rup,P2G分别表示其消耗功率的爬坡速率下限与上限。In formula (14), P min, P2G , P max, P2G respectively represent the minimum value and maximum value of the P2G working power kW of the power-to-gas equipment; R down, P2G , R up, P2G represent the lower limit of the climbing rate of the power consumption with cap.
燃气轮机GT的约束为式(15):The constraint of gas turbine GT is formula (15):
式(15)中,Pmin,GT、Pmax,GT分别表示燃气轮机GT工作功率的最小值与最大值;Rdown,GT、Rup,GT分别表示其输出功率的爬坡速率下限与上限;In formula (15), P min,GT , P max,GT represent the minimum and maximum working power of gas turbine GT respectively; R down,GT , R up,GT represent the lower limit and upper limit of the ramp rate of the output power respectively;
风电机组、光伏机组的约束为式(16):The constraints of wind turbines and photovoltaic generators are formula (16):
式(16)中,PPV,t和PWT,t分别为风电机组和光伏机组t时刻时的实际出力;和 分别表示风电机组和光伏机组的预测出力;In formula (16), P PV,t and P WT,t are the actual output of the wind turbine and photovoltaic generator at time t, respectively; and represent the predicted output of wind turbines and photovoltaic units, respectively;
蓄电池约束为式(17):The battery constraint is formula (17):
式(17)中,表示蓄电池充放电功率的下限;表示蓄电池充放电功率的上限kW;UES,C表示蓄电池充电状态的标记位,1为充电,0为停止充电;UES,D表示蓄电池放电状态的标记位,1为放电,0为停止放电;W(T+1)、W(T)分别表示蓄电池在T+1与T时间段的荷电状态;Wmax、Wmin为蓄电池荷电状态的上下限;ηES,C、ηES,D分别表示蓄电池充放电效率;σES为蓄电池自放电率;In formula (17), Indicates the lower limit of battery charging and discharging power; Indicates the upper limit kW of the charging and discharging power of the battery; U ES, C indicates the flag bit of the battery charging state, 1 means charging, 0 means stop charging; U ES, D means the flag bit of the battery discharging state, 1 means discharging, 0 means stop discharging ; W(T+1), W(T) represent the state of charge of the battery in T+1 and T time periods respectively; W max , W min are the upper and lower limits of the state of charge of the battery; η ES,C , η ES, D respectively represent the charging and discharging efficiency of the battery; σ ES is the self-discharging rate of the battery;
蓄热槽约束为式(18):The heat storage tank is constrained by formula (18):
式(18)中,分别为蓄热槽充放热功率的最大值与最小值;UHS,C、UHS,D分别为蓄热槽充放热的状态变量;E(T+1)、E(T)分别表示蓄热槽在T+1与T时间段的容量;Emax、Emin为蓄热槽容量的上下限;ηHS,C、ηHS,D分别表示蓄热槽充放热效率;бHS为蓄热槽热量耗散率。In formula (18), are the maximum and minimum values of the heat storage tank charging and discharging power; U HS,C , U HS,D are the state variables of the heat storage tank charging and discharging; The capacity of the heat storage tank in the T+1 and T time periods; E max and E min are the upper and lower limits of the capacity of the heat storage tank; Heat sink heat dissipation rate.
所述的步骤20)中,建立电转气设备P2G运行机制参与碳交易模型的具体过程为:In the step 20), the specific process of establishing the P2G operation mechanism of the power-to-gas equipment to participate in the carbon trading model is as follows:
步骤201),建立电转气设备P2G运行机制中的反应原理如式(19)所示:Step 201), establish the reaction principle in the P2G operation mechanism of the power-to-gas equipment as shown in formula (19):
甲烷反应后生成的CH4体积与反应前消耗的CO2体积相同,而CO2又是反应过程中不可或缺的原料,需要从碳交易市场进行购买,则电转气设备P2G单位电能所消耗的CO2的量与t时段购买CO2成本如式(20)、(21)所示:The volume of CH 4 generated after the methane reaction is the same as the volume of CO 2 consumed before the reaction, and CO 2 is an indispensable raw material in the reaction process and needs to be purchased from the carbon trading market, so the power-to-gas equipment P2G unit electricity consumption The amount of CO 2 and the cost of purchasing CO 2 during period t are shown in equations (20) and (21):
上式中,ρco2为CO2的密度;ηp2g为电转气设备P2G的转化效率;Pt,p2g为t时段电转气设备P2G运行时所消耗的电能,t=1,2,3…,T为综合能源系统IES调度周期时段数;LCH4为甲烷的燃烧热值,取36MJ/m3;fco2为购买CO2的价格系数;In the above formula, ρ co2 is the density of CO 2 ; η p2g is the conversion efficiency of the power-to-gas equipment P2G; P t,p2g is the electric energy consumed by the power-to-gas equipment P2G during the period t, t=1,2,3..., T is the number of time slots in the IES scheduling cycle of the integrated energy system; L CH4 is the combustion calorific value of methane, which is 36MJ/m 3 ; f co2 is the price coefficient for purchasing CO 2 ;
步骤202),建立电转气设备P2G参与碳交易市场成本如式(22)所示:Step 202), the cost of establishing P2G equipment to participate in the carbon trading market is shown in formula (22):
fp2g=fco2(-Mp2g-Mp)Pt,p2g 式(22)f p2g =f co2 (-M p2g -M p )P t,p2g formula (22)
式(22)中,Mp为单位电能电转气设备P2G的碳排放额,因设备运行过程中无碳排放,取值为0。In formula (22), M p is the carbon emission quota of P2G equipment per unit of electric energy. Since there is no carbon emission during the operation of the equipment, the value is 0.
所述的步骤30)中,将步骤20)中建立的电转气设备P2G运行机制和碳交易模型加入至步骤10)中建立的综合能源系统运行优化模型中建立以最大利润为目标的低碳经济调度模型如式(23)所示:In the step 30), the power-to-gas equipment P2G operation mechanism and carbon trading model established in step 20) are added to the integrated energy system operation optimization model established in step 10) to establish a low-carbon economy with the goal of maximum profit The scheduling model is shown in formula (23):
式(23)中,T为综合能源系统IES调度周期时段数;Ft,gas为t时段综合能源系统IES购买燃料费用;Ft,grid为t时段综合能源系统IES与外部电网进行交互费用;Ft,ess为t时段综合能源系统IES中储能装置ESS的运行费用;Ft,om为t时段综合能源系统IES中各设备运营维修费用;Ft,ct为t时段综合能源系统IES所参与碳交易费用。In formula (23), T is the number of time slots in the IES scheduling period of the integrated energy system; F t,gas is the fuel purchase cost of the IES in the t period; F t,grid is the interaction cost between the IES and the external power grid in the t period; F t,ess is the operating cost of the energy storage device ESS in the integrated energy system IES in the period t; F t,om is the operation and maintenance cost of each equipment in the integrated energy system IES in the period t; F t,ct is the cost of the IES in the integrated energy system in the period t Participate in carbon trading fees.
有益效果:与现有技术相比,本发明具有以下优点:本发明搭建了一种考虑电转气设备P2G及储能的含可再生能源的综合能源系统低碳经济调度方法,将电转气设备P2G和燃气轮机参与碳交易市场进行交易,构建了低碳经济调度模型,本发明能够解决的问题是:1、含储能的综合能源系统可以通过储能装置ESS解耦系统“热电联产”中以热定电的耦合关系,实现负荷的互补和能量的变换,满足系统电、热、气负荷的需求;2、通过对所提模型中的电转气设备P2G引入碳交易前后场景进行分析对比,得出该模型可有效考虑系统经济性与低碳性,并有效降低综合能源系统经济成本,使综合能源系统的优化配置结果更符合实际要求,对于推动节能减排和新能源未来发展具有重要意义。Beneficial effects: Compared with the prior art, the present invention has the following advantages: The present invention builds a low-carbon economic scheduling method for an integrated energy system containing renewable energy that considers power-to-gas equipment P2G and energy storage, and converts power-to-gas equipment P2G Participate in the carbon trading market with gas turbines to conduct transactions, and build a low-carbon economic scheduling model. The problems that the present invention can solve are: 1. The integrated energy system with energy storage can be decoupled by the energy storage device ESS in the "cogeneration" system. The coupling relationship between heat and electricity realizes load complementarity and energy transformation, and meets the needs of the system's electricity, heat, and gas loads; 2. By analyzing and comparing the scenes before and after the introduction of carbon trading in the power-to-gas equipment P2G in the proposed model, it is obtained The model can effectively consider the system economy and low carbon, and effectively reduce the economic cost of the integrated energy system, so that the optimal configuration of the integrated energy system is more in line with the actual requirements, which is of great significance for promoting energy conservation and emission reduction and the future development of new energy.
附图说明Description of drawings
图1是含电转气设备P2G的综合能源系统IES的能量流示意图;Figure 1 is a schematic diagram of the energy flow of the integrated energy system IES including the power-to-gas equipment P2G;
图2是电转气设备P2G生产过程描述示意图;Figure 2 is a schematic diagram illustrating the P2G production process of the power-to-gas equipment;
图3是综合能源系统IES中风机机组和光伏机组出力预测曲线;Figure 3 is the output forecast curve of fan unit and photovoltaic unit in the integrated energy system IES;
图4是综合能源系统的分时购电价格曲线;Figure 4 is the time-of-use power purchase price curve of the integrated energy system;
图5是综合能源系统IES内电负荷优化平衡状态示意图;Figure 5 is a schematic diagram of the optimal balance state of electric loads in the integrated energy system IES;
图6是综合能源系统IES内热负荷优化平衡状态示意图。Fig. 6 is a schematic diagram of the optimal balance state of heat load in the integrated energy system IES.
具体实施方式Detailed ways
为了使本发明的目的、技术方案及优点更加清楚明白,以下结合附图及实施案例对本发明进行深入地详细说明。应当理解,此处所描述的具体实施案例仅仅用以解释本发明,并不用于限定发明。In order to make the object, technical solution and advantages of the present invention more clear, the present invention will be described in detail below in combination with the accompanying drawings and implementation examples. It should be understood that the specific implementation cases described here are only used to explain the present invention, and are not intended to limit the invention.
本发明提供一种含P2G及储能的综合能源系统低碳经济调度方法,包括以下步骤:The invention provides a low-carbon economic scheduling method for an integrated energy system including P2G and energy storage, comprising the following steps:
步骤10)建立综合能源系统运行优化模型,包括燃气轮机、燃气锅炉、电转气设备P2G、蓄电池、电制冷机、电热锅炉、余热锅炉、换热装置、蓄热槽、风电机组和光伏机组;Step 10) Establish an integrated energy system operation optimization model, including gas turbines, gas boilers, power-to-gas equipment P2G, batteries, electric refrigerators, electric boilers, waste heat boilers, heat exchange devices, heat storage tanks, wind turbines and photovoltaic units;
步骤20)建立电转气设备运行机制参与碳交易机制模型;Step 20) Establishing a model of the power-to-gas equipment operation mechanism participating in the carbon trading mechanism;
步骤30)将步骤20)中建立的电转气设备运行机制参与碳交易机制模型加入至步骤10)中建立的综合能源系统运行优化模型中。Step 30) Add the power-to-gas equipment operation mechanism participating in carbon trading mechanism model established in step 20) to the integrated energy system operation optimization model established in step 10).
所述的步骤10)中,建立综合能源系统运行优化模型的过程为:In the described step 10), the process of establishing an integrated energy system operation optimization model is:
步骤101)建立综合能源系统运行优化模型中的出力成本模型,其中,综合能源系统IES购买燃料成本模型为式(1):Step 101) Establish the output cost model in the integrated energy system operation optimization model, wherein, the integrated energy system IES purchase fuel cost model is formula (1):
式(1)中,fgas为购买燃料的单位热值价格;为m台联供燃气轮机GT共同发电功率;为n台燃气锅炉GB共同产热功率;α,β,γ为燃气轮机GT燃料成本系数;ηGB为燃气锅炉GB的产热效率;Δt为调度时段步长;In formula (1), f gas is the price per unit calorific value of purchased fuel; Co-generated power for m sets of gas turbines GT; is the common heat production power of n gas-fired boilers GB; α, β, γ are the fuel cost coefficients of gas turbine GT; η GB is the heat production efficiency of gas-fired boiler GB; Δt is the step size of the scheduling period;
综合能源系统IES购电费用与电网交互费用如式(2)、(3)所示:The integrated energy system IES power purchase cost and grid interaction cost are shown in formulas (2) and (3):
上式中,ft,grid为t时段综合能源系统IES交换功率的价格,当值大于0的时候表示综合能源系统IES向大电网购电,小于0的时候表示综合能源系统IES向大电网售电以获取利润,分别表示t时段系统向大电网购电、售电的价格,用分段函数表示如式(3)所示;Pt,grid为t时段综合能源系统IES与大电网交换的功率;In the above formula, f t,grid is the exchange power price of the integrated energy system IES in the t period. When the value is greater than 0, it means that the integrated energy system IES purchases electricity from the large power grid; when it is less than 0, it means that the integrated energy system IES sells electricity to the large grid. electricity for profit, Respectively represent the price of electricity purchased and sold by the system from the large power grid during the period t, expressed as a piecewise function as shown in formula (3); P t,grid is the power exchanged between the integrated energy system IES and the large power grid during the period t;
综合能源系统IES中储能装置ESS运行成本的公式为:The formula for the operating cost of the energy storage device ESS in the integrated energy system IES is:
上式中:蓄电池ES每次充放电使用成本相同,则fr为蓄电池ES单次完全充放电的成本,fpur为购买价格,Mcyc为充放电次数;为t时段蓄电池ES的充放电功率; 为t时段蓄热槽HS的充放热功率;fcap为蓄电池ES的容量;In the above formula: the cost of each charge and discharge of the battery ES is the same, then f r is the cost of a single complete charge and discharge of the battery ES, f pur is the purchase price, and M cyc is the number of charge and discharge; is the charging and discharging power of the battery ES in the period t; is the charging and discharging power of the heat storage tank HS during the period t; f cap is the capacity of the battery ES;
综合能源系统IES运行维修成本公式为式(6):The formula for IES operation and maintenance cost of integrated energy system is formula (6):
式中,Ki为综合能源系统IES维护运行费用系数;Pi,t为第i台设备在t时段的出力;In the formula, K i is the IES maintenance and operation cost coefficient of the integrated energy system; P i,t is the output of the i-th equipment in the period t;
综合能源系统IES碳交易成本公式为式(7):The formula of IES carbon transaction cost of integrated energy system is formula (7):
Ft,ct=fco2(-Mp2g-Mp)Pt,p2g+fc(MGT-Mm)Pt,GT 式(7)F t,ct =f co2 (-M p2g -M p )P t,p2g +f c (M GT -M m )P t,GT formula (7)
上式中,fco2、fc分别表示购买CO2的价格系数与碳向外排放的价格系数;MGT为燃气轮机GT的碳排放强度,Mm为其碳排放分配额;Pt,GT为t时段燃气轮机GT的发电量;In the above formula, f co2 and f c represent the price coefficient of purchasing CO 2 and the price coefficient of carbon emission; M GT is the carbon emission intensity of gas turbine GT, and M m is its carbon emission allocation; P t,GT is The power generation of the gas turbine GT in the period t;
步骤102)建立综合能源系统IES运行优化模型中各设备的运行约束模型,其中电气母线平衡方程为式(8):Step 102) Establish the operation constraint model of each equipment in the IES operation optimization model of the integrated energy system, wherein the electrical bus balance equation is formula (8):
Pt,WT+Pt,PV+Pt,GT+Pt,grid+Pt,ES,D-Pt,P2G-Pt,ER-Pt,EB-Pt,ES,C-Lt,E=0 式(8)P t,WT +P t,PV +P t,GT +P t,grid +P t,ES,D -P t,P2G -P t,ER -P t,EB -P t,ES,C -L t, E = 0 Formula (8)
式(8)中,Pt,WT、Pt,PV分别表示t时段风机机组与光伏机组的出力;Pt,GT表示t时段燃气轮机输出的电功率;Pt,grid表示t时段系统与电网的交换功率;Pt,ES,C、Pt,ES,D分别表示t时段蓄电池充放电功率;Pt,P2G表示t时段电转气设备P2G输入的电功率;Pt,ER表示t时段电制冷机输入的电功率;Pt,EB表示t时段电热锅炉输入的电功率;Lt,E表示t时段用户电负荷;In formula (8), P t,WT , P t,PV respectively represent the output of the fan unit and the photovoltaic unit during the t period; P t ,GT represents the electric power output by the gas turbine during the t period; Exchange power; P t, ES, C , P t, ES, D respectively represent the charging and discharging power of the battery during the t period; P t , P2G represent the electric power input by the power-to-gas equipment P2G during the t period; The input electric power; P t, EB represents the electric power input by the electric heating boiler during the t period; L t, E represents the user's electric load during the t period;
空气母线平衡方程为式(9):The air bus balance equation is formula (9):
ηERQt,ER-Lt,C=0 式(9)η ER Q t,ER -L t,C =0 Formula (9)
式(9)中,ηER为吸收式制冷机制冷效率;Qt,ER表示t时段制冷机产冷功率;Lt,C表示t时段用户冷负荷;In formula (9), η ER is the cooling efficiency of the absorption refrigerator; Q t,ER represents the cooling power of the refrigerator during the t period; L t,C represents the cooling load of the user during the t period;
烟气母线平衡方程为式(10):The balance equation of the flue gas busbar is formula (10):
ηGTPt,GT-Qt,WH=0 式(10)η GT P t,GT -Q t,WH =0 Formula (10)
式(10)中,ηGT为燃气轮机的产热效率;Qt,WH表示t时段余热锅炉产热出力;In formula (10), η GT is the heat production efficiency of the gas turbine; Q t,WH represents the heat production output of the waste heat boiler during the period t;
蒸汽母线平衡方程为式(11):The steam bus balance equation is formula (11):
ηWHQt,WH+Qt,GB+Qt,HS,D-Qt,HS,C-Qt,HX=0 式(11)η WH Q t,WH +Q t,GB +Q t,HS,D -Q t,HS,C -Q t,HX =0 Formula (11)
式(11)中,ηWH为余热锅炉的转换效率;Qt,GB表示t时段燃气锅炉的产热功率kW;Qt,HS,C、Qt,HS,D分别表示t时段蓄热槽的储放热功率;In formula (11), η WH is the conversion efficiency of the waste heat boiler; Q t,GB represents the heat production power kW of the gas-fired boiler in the t period; Q t,HS,C , Q t,HS,D represent the heat storage tank in the t period heat storage and discharge power;
热水母线平衡方程为式(12):The hot water bus balance equation is formula (12):
ηHXQt,HX-Lt,H=0 式(12)η HX Q t,HX -L t,H =0 Formula (12)
式(12)中:ηHX为换热器的转换效率;Qt,HX表示t时段换热器的热出力;Lt,H表示t时段用户热负荷;In the formula (12): η HX is the conversion efficiency of the heat exchanger; Q t,HX represents the heat output of the heat exchanger in the period t; L t,H represents the heat load of the user in the period t;
综合能源系统IES与电网交互状态约束为式(13):The interactive state constraints of the integrated energy system IES and the grid are expressed as formula (13):
式中,Pmax,buy、Pmax,sell分别表示综合能源系统IES向电网交互的最大购电量与售电量;Kbuy、Ksell分别表示综合能源系统IES向电网交互时购电、售电的状态,二者是相互排斥的;In the formula, P max,buy and P max,sell represent the maximum power purchase and sale of the integrated energy system IES to the grid, respectively; state, the two are mutually exclusive;
电转气设备P2G约束为式(14):The P2G constraint of power-to-gas equipment is formula (14):
式(14)中,Pmin,P2G、Pmax,P2G分别表示电转气设备P2G工作功率的最小值与最大值kW;Rdown,P2G、Rup,P2G分别表示其消耗功率的爬坡速率下限与上限。In formula (14), P min, P2G , P max, P2G respectively represent the minimum value and maximum value of the P2G working power kW of the power-to-gas equipment; R down, P2G , R up, P2G represent the lower limit of the climbing rate of the power consumption with cap.
燃气轮机GT的约束为式(15):The constraint of gas turbine GT is formula (15):
式(15)中,Pmin,GT、Pmax,GT分别表示燃气轮机GT工作功率的最小值与最大值;Rdown,GT、Rup,GT分别表示其输出功率的爬坡速率下限与上限;In formula (15), P min,GT , P max,GT represent the minimum and maximum working power of gas turbine GT respectively; R down,GT , R up,GT represent the lower limit and upper limit of the ramp rate of the output power respectively;
风电机组、光伏机组的约束为式(16):The constraints of wind turbines and photovoltaic generators are formula (16):
式(16)中,PPV,t和PWT,t分别为风电机组和光伏机组t时刻时的实际出力;和 分别表示风电机组和光伏机组的预测出力;In formula (16), P PV,t and P WT,t are the actual output of the wind turbine and photovoltaic generator at time t, respectively; and represent the predicted output of wind turbines and photovoltaic units, respectively;
蓄电池约束为式(17):The battery constraint is formula (17):
式(17)中,表示蓄电池充放电功率的下限;表示蓄电池充放电功率的上限;UES,C表示蓄电池充电状态的标记位,1为充电,0为停止充电;UES,D表示蓄电池放电状态的标记位,1为放电,0为停止放电;W(T+1)、W(T)分别表示蓄电池在T+1与T时间段的荷电状态;Wmax、Wmin为蓄电池荷电状态的上下限;ηES,C、ηES,D分别表示蓄电池充放电效率;σES为蓄电池自放电率;In formula (17), Indicates the lower limit of battery charging and discharging power; Indicates the upper limit of the charging and discharging power of the battery; U ES, C indicates the flag bit of the charging state of the battery, 1 means charging, 0 means stop charging; U ES, D means the flag bit of the battery discharging state, 1 means discharging, 0 means stop discharging; W(T+1) and W(T) represent the state of charge of the battery in the time period T+1 and T respectively; W max and W min are the upper and lower limits of the state of charge of the battery; η ES,C , η ES,D Respectively represent the charging and discharging efficiency of the battery; σ ES is the self-discharging rate of the battery;
蓄热槽约束为式(18):The heat storage tank is constrained by formula (18):
式(18)中,分别为蓄热槽充放热功率的最大值与最小值;UHS,C、UHS,D分别为蓄热槽充放热的状态变量;E(T+1)、E(T)分别表示蓄热槽在T+1与T时间段的容量;Emax、Emin为蓄热槽容量的上下限;ηHS,C、ηHS,D分别表示蓄热槽充放热效率;бHS为蓄热槽热量耗散率。In formula (18), are the maximum and minimum values of the heat storage tank charging and discharging power; U HS,C , U HS,D are the state variables of the heat storage tank charging and discharging; The capacity of the heat storage tank in the T+1 and T time periods; E max and E min are the upper and lower limits of the capacity of the heat storage tank; Heat sink heat dissipation rate.
所述的步骤20)中,建立电转气设备P2G运行机制参与碳交易模型的具体过程为:In the step 20), the specific process of establishing the P2G operation mechanism of the power-to-gas equipment to participate in the carbon trading model is as follows:
步骤201),建立电转气设备P2G运行机制中的反应原理如式(19)所示:Step 201), establish the reaction principle in the P2G operation mechanism of the power-to-gas equipment as shown in formula (19):
甲烷反应后生成的CH4体积与反应前消耗的CO2体积相同,而CO2又是反应过程中不可或缺的原料,需要从碳交易市场进行购买,则电转气设备P2G单位电能所消耗的CO2的量与t时段购买CO2成本如式(20)、(21)所示:The volume of CH 4 generated after the methane reaction is the same as the volume of CO 2 consumed before the reaction, and CO 2 is an indispensable raw material in the reaction process and needs to be purchased from the carbon trading market, so the power-to-gas equipment P2G unit electricity consumption The amount of CO 2 and the cost of purchasing CO 2 during period t are shown in equations (20) and (21):
上式中,ρco2为CO2的密度;ηp2g为电转气设备P2G的转化效率;Pt,p2g为t时段电转气设备P2G运行时所消耗的电能,t=1,2,3…,T为综合能源系统IES调度周期时段数;LCH4为甲烷的燃烧热值,取36MJ/m3;fco2为购买CO2的价格系数;In the above formula, ρ co2 is the density of CO 2 ; η p2g is the conversion efficiency of the power-to-gas equipment P2G; P t,p2g is the electric energy consumed by the power-to-gas equipment P2G during the period t, t=1,2,3..., T is the number of time slots in the IES scheduling cycle of the integrated energy system; L CH4 is the combustion calorific value of methane, which is 36MJ/m 3 ; f co2 is the price coefficient for purchasing CO 2 ;
步骤202),建立电转气设备P2G参与碳交易市场成本如式(22)所示:Step 202), the cost of establishing P2G equipment to participate in the carbon trading market is shown in formula (22):
fp2g=fco2(-Mp2g-Mp)Pt,p2g 式(22)f p2g =f co2 (-M p2g -M p )P t,p2g formula (22)
式(22)中,Mp为单位电能电转气设备P2G的碳排放额,因设备运行过程中无碳排放,取值为0。In formula (22), M p is the carbon emission quota of P2G equipment per unit of electric energy. Since there is no carbon emission during the operation of the equipment, the value is 0.
所述的步骤30)中,将步骤20)中建立的电转气设备P2G运行机制和碳交易模型加入至步骤10)中建立的综合能源系统运行优化模型中建立以最大利润为目标的低碳经济调度模型如式(23)所示:In the step 30), the power-to-gas equipment P2G operation mechanism and carbon trading model established in step 20) are added to the integrated energy system operation optimization model established in step 10) to establish a low-carbon economy with the goal of maximum profit The scheduling model is shown in formula (23):
式(23)中,T为综合能源系统IES调度周期时段数;Ft,gas为t时段综合能源系统IES购买燃料费用;Ft,grid为t时段综合能源系统IES与外部电网进行交互费用;Ft,ess为t时段综合能源系统IES中储能装置ESS的运行费用;Ft,om为t时段综合能源系统IES中各设备运营维修费用;Ft,ct为t时段综合能源系统IES所参与碳交易费用。In formula (23), T is the number of time slots in the IES scheduling period of the integrated energy system; F t,gas is the fuel purchase cost of the IES in the t period; F t,grid is the interaction cost between the IES and the external power grid in the t period; F t,ess is the operating cost of the energy storage device ESS in the integrated energy system IES in the period t; F t,om is the operation and maintenance cost of each equipment in the integrated energy system IES in the period t; F t,ct is the cost of the IES in the integrated energy system in the period t Participate in carbon trading fees.
实施例Example
如图1-图6所示,本实施例建立了含电转气设备P2G及储能的综合能源系统低碳经济调度模型,将电转气设备运行机制和碳交易制度引入多能源耦合机组的综合能源系统模型中,分析与储能联合之间的供耗优化情况,并与传统综合能源系统运行优化方法进行对比,对引入碳交易制度后系统运行成本进行分析,验证本发明提出的含P2G及储能的综合能源系统低碳经济调度方法对降低系统运行成本的有效性。As shown in Figures 1 to 6, this embodiment establishes a low-carbon economic dispatch model for a comprehensive energy system including power-to-gas equipment P2G and energy storage, and introduces the operation mechanism of power-to-gas equipment and the carbon trading system into the comprehensive energy of multi-energy coupling units In the system model, analyze the optimization of supply and consumption between energy storage and energy storage, and compare it with the traditional comprehensive energy system operation optimization method, analyze the system operation cost after introducing the carbon trading system, and verify the P2G and storage system proposed by the present invention. The effectiveness of low-carbon economic dispatching methods for integrated energy systems in reducing system operating costs.
首先选取某区域含可再生能源发电的园区综合能源系统作为仿真对象,系统中包括电转气设备P2G,3台燃气轮机GT,风机机组WT,光伏机组PV,蓄热槽HS、蓄电池ES、余热锅炉WH,电制冷机ER、电热锅炉EB、换热机组HX以及燃气锅炉GB等装置,电转气设备P2G正常运行的生产效率(γ(P2G))为0.6,最大的运行功率为150kW;碳排放的价格为0.2元/kg,碳排放的分配额为0.5kg/(kW·h),CO2的价格系数为380元/t;燃气轮机GT的碳排放强度为0.5kg/(kW·h),调度的时段总长为24h,调度的时长Δt为1h,运维成本为0.1元/kW;其它设备的运维成本均取0.02元/kW。冷热电联供系统CCHP中主要设备的相关基础参数在表1中给出,假设天然气价格为3.45元/m2,依据所建优化调度模型进行仿真。Firstly, the comprehensive energy system of a park with renewable energy power generation in a certain area is selected as the simulation object. The system includes power-to-gas equipment P2G, 3 gas turbines GT, fan unit WT, photovoltaic unit PV, heat storage tank HS, battery ES, waste heat boiler WH , electric refrigerator ER, electric boiler EB, heat exchange unit HX, gas boiler GB and other devices, the production efficiency (γ (P2G) ) of the power-to-gas equipment P2G in normal operation is 0.6, and the maximum operating power is 150kW; the price of carbon emissions is 0.2 yuan/kg, the allocation of carbon emissions is 0.5kg/(kW h), and the price coefficient of CO 2 is 380 yuan/t; the carbon emission intensity of gas turbine GT is 0.5kg/(kW h), and the dispatched The total length of the period is 24h, the scheduling time Δt is 1h, and the operation and maintenance cost is 0.1 yuan/kW; the operation and maintenance cost of other equipment is 0.02 yuan/kW. The relevant basic parameters of the main equipment in the combined cooling, heating and power system CCHP are given in Table 1. Assuming that the price of natural gas is 3.45 yuan/m 2 , the simulation is carried out based on the established optimal dispatching model.
表1系统中各设备容量及参数Table 1 The capacity and parameters of each equipment in the system
为了验证考虑电转气设备P2G及储能的综合能源系统优化运行的优越性,对园区综合能源系统IES的算例运行结果进行分析,算例场景中,风机机组、光伏机组以及电转气设备P2G转化效率的不确定性将不纳入考虑。In order to verify the superiority of the optimized operation of the integrated energy system considering the power-to-gas equipment P2G and energy storage, the calculation example operation results of the integrated energy system IES in the park are analyzed. Uncertainty in efficiency will not be taken into account.
联系购电价格曲线分析,根据图5可以看出:在22:00-06:00时段,电价和负荷均处于低谷期,风机机组WT出力逐步增加,且大部分电能供给电热锅炉EB,电负荷由综合能源系统向电网购电以满足用户的需求。在07:00-12:00时段,随着电价和负荷逐渐上升,燃气轮机GT出力增加,蓄电池ES开始向综合能源系统提供能量,以此来弥补对于电网的依赖,并且系统开始对电网倒送功率以获利来优化运行成本;在13:00-17:00时段,电价和负荷逐渐下降,燃气轮机GT出力逐步降低,在17:00-18:00时段是下班高峰期,用电量增加,负荷增大,电价上升,综合能源系统IES的工作情况和07:00-12:00时段类似;19:00-23:00时段,电价和负荷均逐渐下降。In connection with the analysis of the power purchase price curve, it can be seen from Figure 5 that: during the period from 22:00 to 06:00, the electricity price and load are at a low point, the WT output of the fan unit gradually increases, and most of the electric energy is supplied to the electric boiler EB, and the electric load The integrated energy system purchases electricity from the grid to meet the needs of users. During the period from 07:00 to 12:00, as the electricity price and load gradually rise, the output of the gas turbine GT increases, and the battery ES starts to provide energy to the integrated energy system to make up for the dependence on the grid, and the system begins to send power back to the grid Optimize operating costs by making profits; during 13:00-17:00, electricity prices and loads gradually decrease, and gas turbine GT output gradually decreases; during 17:00-18:00 is the off-duty peak period, power consumption increases, The electricity price increases, and the working condition of the IES is similar to that of the 07:00-12:00 period; during the 19:00-23:00 period, both the electricity price and the load gradually decrease.
综合能源系统IES中热能的供耗为余热锅炉、燃气锅炉和蓄热槽。图6为综合能源系统IES内热负荷供电优化情况,由图6可知,在调度时段内系统可以满足热负荷的需求。22:00-06:00时段,主要由电热锅炉EB来满足热负荷的需求,07:00-11:00时段,燃气轮机GT出力增加,实现热电联产,电热锅炉EB开始关闭且富余热能由蓄热槽HS储存。12:00-16:00及19:00-22:00时段,电价和负荷逐步下降,燃气轮机GT出力减少,综合能源系统IES所提供的热能减少,蓄热槽HS向综合能源系统IES释放能量;17:00-18:00时段,综合能源系统IES的工作情况和07:00-11:00时段基本相同。The supply and consumption of thermal energy in the integrated energy system IES are waste heat boilers, gas boilers and heat storage tanks. Figure 6 shows the optimization of thermal load power supply in the integrated energy system IES. It can be seen from Figure 6 that the system can meet the demand of thermal load during the scheduling period. During the period from 22:00 to 06:00, the electric boiler EB is mainly used to meet the heat load demand. During the period from 07:00 to 11:00, the output of the gas turbine GT is increased to realize cogeneration of heat and power. Hot tank HS storage. During 12:00-16:00 and 19:00-22:00, the electricity price and load gradually decrease, the output of the gas turbine GT decreases, the heat energy provided by the integrated energy system IES decreases, and the heat storage tank HS releases energy to the integrated energy system IES; During the period of 17:00-18:00, the working conditions of the integrated energy system IES are basically the same as those of the period of 07:00-11:00.
为验证综合能源系统中考虑电转气设备P2G联合储能装置碳交易优化后的优势,设置2个场景来对比有碳交易情况下综合能源系统调度优化结果。In order to verify the advantages of considering the carbon trading optimization of power-to-gas equipment P2G combined energy storage devices in the integrated energy system, two scenarios were set up to compare the scheduling optimization results of the integrated energy system under the condition of carbon trading.
场景1:不考虑碳交易机制,综合能源系统按照以热定电的耦合方式运行。Scenario 1: Regardless of the carbon trading mechanism, the integrated energy system operates in a coupled manner based on heat and electricity.
场景2:考虑碳交易机制,综合能源系统电负荷优先以可再生能源供应。Scenario 2: Considering the carbon trading mechanism, the electricity load of the integrated energy system is given priority to supply with renewable energy.
上述2种运行方式下综合能源系统的运行成本如表2所示。场景1中综合能源系统中的电转气设备P2G不参加碳交易,考虑到可再生能源的波动性,系统内电负荷优先以燃气轮机供应,消纳的可再生能源电量较少,系统总的运行成本较高。场景2中综合能源系统优先消纳可再生能源,电转气设备参与碳交易,解除燃气轮机的出力约束,实现可再生能源消纳,效益明显。The operating costs of the integrated energy system under the above two operating modes are shown in Table 2. In
表2不同场景下系统运行总费用Table 2 Total cost of system operation under different scenarios
由表2可知,在冬季典型日条件下,场景1和场景2系统全时段总运行成本分别为30115元,27618元。场景2较场景1系统运行总成本降低了,由此可见含电转气设备P2G的综合能源系统能够实现能量的协调使用,减少碳排量,并且仍可保证系统运行具有良好的经济性,这是由于电转气设备P2G的联合,综合能源系统能对可再生能源进行大规模消纳,从而减少燃料的需求,在碳交易市场出售碳排放权,继而降低碳排量,做到能量在空间与时间上的转移;通过引入蓄热槽HS,充分利用峰谷时差的电价,打破传统系统“热电联产”中以热定电的耦合关系,解除燃气轮机GT的出力限制,实现热能的协调分配,有效提高能源利用效率;同时,可减少燃气锅炉GB的出力,进一步降低碳排放量,系统全时段总运行成本得以优化。因此,本发明中所提出的含电转气设备P2G及储能的综合能源系统优化模型能够满足系统运行成本最低的同时降低碳排量以及系统约束的各个单位调度达到最佳运行策略,即实现了电-热-气的联合调度。It can be seen from Table 2 that under typical winter conditions, the total operating costs of the system in
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