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CN114039378B - Wind-fire combined dispatching method and system capable of interrupting load and storage medium - Google Patents

Wind-fire combined dispatching method and system capable of interrupting load and storage medium Download PDF

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CN114039378B
CN114039378B CN202111104828.8A CN202111104828A CN114039378B CN 114039378 B CN114039378 B CN 114039378B CN 202111104828 A CN202111104828 A CN 202111104828A CN 114039378 B CN114039378 B CN 114039378B
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CN114039378A (en
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邓小勇
张曦
詹红霞
陈铁
唐山
苑吉河
王博
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State Grid Corp of China SGCC
Xihua University
Shinan Power Supply Co of State Grid Chongqing Electric Power Co
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Xihua University
Shinan Power Supply Co of State Grid Chongqing Electric Power Co
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Abstract

本发明公开了可中断负荷的风蓄火联合调度方法及系统、存储介质,调度方法包括以下步骤:S1、风电预测误差分析;S2、构建风蓄火联合调度模型:以风蓄联合运行波动标准差最小为目标构建内层模型,以可中断负荷的风电全消纳下发电企业的日收益为最大目标构建外层模型;S3、将通过内层模型得到的风蓄联合运行出力代入外层模型,获得满足系统旋转备用的各机组出力以及可中断负荷参与系统的调度计划。本发明通过电源端利用抽水蓄能机组和传统机组提供旋转备用以及风电并网量增加后利用负荷端可中断负荷等效为旋转备用,来解决大规模风电并网后引起的传统机组旋转备用容量不足的情况。

The present invention discloses a wind-storage-fire joint dispatching method and system and storage medium for interruptible loads. The dispatching method includes the following steps: S1, wind power prediction error analysis; S2, construction of a wind-storage-fire joint dispatching model: constructing an inner model with the goal of minimizing the standard deviation of wind-storage joint operation fluctuations, and constructing an outer model with the maximum goal of the daily revenue of the power generation enterprise under the full absorption of wind power for interruptible loads; S3, substituting the wind-storage joint operation output obtained by the inner model into the outer model to obtain the output of each unit that meets the system's rotating reserve and the dispatching plan for the interruptible load to participate in the system. The present invention solves the problem of insufficient rotating reserve capacity of traditional units caused by large-scale wind power grid connection by using pumped storage units and traditional units at the power supply end to provide rotating reserve and using the interruptible load at the load end as equivalent to rotating reserve after the increase in wind power grid connection.

Description

可中断负荷的风蓄火联合调度方法及系统、存储介质Wind-storage-fire joint dispatching method and system for interruptible load, and storage medium

技术领域Technical Field

本发明涉及电力能源调度技术领域,具体涉及可中断负荷的风蓄火联合调度方法及系统、存储介质。The present invention relates to the technical field of electric energy dispatching, and in particular to a wind-storage-fire joint dispatching method and system for interruptible loads, and a storage medium.

背景技术Background Art

目前,为实现“碳达峰、碳中和”的目标,电力系统已构建以新能源为主体的新型电力系统。风电等新能为主要的新能源,其在我国能源结构中比重将大幅提升,对电网安全稳定运行带来严峻挑战。抽水蓄能电站是电力系统的重要调节电源,对确保电网安全、促进新能源消纳、推动能源绿色低碳转型具有重要意义,能够在一定程度上缓解风电能源对电网安全稳定造成的影响,但是,仅仅依靠抽水蓄不能很好地满足风电等新能源并网的安全可靠性后。At present, in order to achieve the goal of "carbon peak and carbon neutrality", the power system has built a new power system with new energy as the main body. Wind power and other new energy are the main new energy sources, and their proportion in my country's energy structure will increase significantly, bringing severe challenges to the safe and stable operation of the power grid. Pumped storage power stations are important regulating power sources for the power system. They are of great significance to ensuring the safety of the power grid, promoting the consumption of new energy, and promoting the green and low-carbon transformation of energy. They can alleviate the impact of wind power energy on the safety and stability of the power grid to a certain extent. However, relying solely on pumped storage cannot meet the safety and reliability of wind power and other new energy sources connected to the grid.

因此,需要设计一种新的风蓄火联合调度方法,以提高风电等新能源并网的安全可靠性。Therefore, it is necessary to design a new wind-storage-fire joint dispatching method to improve the safety and reliability of grid connection of new energy such as wind power.

发明内容Summary of the invention

本发明的目的在于提供可中断负荷的风蓄火联合调度方法及系统、存储介质,该风蓄火联合调度方法充分考虑了风电的不确定性,首先利用传统机组与抽水蓄能机组满足风电预测误差和负荷引起的旋转备用需求,当从电源端不能满足要求时,考虑从负荷端将可中断负荷等效为旋转备用满足系统可靠性要求,有效提高了风电等新能源并网的安全可靠性。The purpose of the present invention is to provide a wind-storage-fire joint scheduling method and system, and a storage medium for interruptible loads. The wind-storage-fire joint scheduling method fully considers the uncertainty of wind power. First, traditional units and pumped storage units are used to meet the rotating reserve demand caused by wind power prediction errors and loads. When the requirements cannot be met from the power supply end, the interruptible load is considered to be equivalent to the rotating reserve from the load end to meet the system reliability requirements, thereby effectively improving the safety and reliability of the grid connection of new energy such as wind power.

本发明通过下述技术方案实现:The present invention is achieved through the following technical solutions:

可中断负荷的风蓄火联合调度方法,包括以下步骤:The wind-storage-fire joint dispatching method for interruptible loads comprises the following steps:

S1、风电预测误差分析:S1. Wind power forecast error analysis:

S11、基于Beta分布拟合风电出力概率密度函数;S11. Fitting wind power output probability density function based on Beta distribution;

S12、对获取的风电场装机规模的总容量Pwe、风电预测输出功率Pw和实际输出功率的真实值P进行标幺化处理获得标幺化后的风电预测输出功率pwn和风电实际输出功率p;S12, performing per-unit normalization processing on the total capacity P we of the wind farm installed capacity, the predicted wind power output power P w and the real value P of the actual output power to obtain the normalized predicted wind power output power p wn and the actual wind power output power p;

S13、基于步骤S1构建的风电出力概率密度函数和步骤S12获得的标幺化后的风电预测输出功率pwn和风电实际输出功率p构建某一置信水平α下风电预测误差分析模型;S13, constructing a wind power prediction error analysis model under a certain confidence level α based on the wind power output probability density function constructed in step S1 and the normalized wind power predicted output power p wn and wind power actual output power p obtained in step S12;

S2、构建风蓄火联合调度模型:S2. Construct wind-storage-fire joint dispatch model:

基于风蓄联合机组的平均并网出力和t时段风蓄联合机组的并网出力Pwh,t,以风蓄联合运行波动标准差最小为目标构建内层模型,所述内层模型用于决定抽水蓄能机组的抽水或发电功率;Based on the average grid-connected output of wind-storage combined units and the grid-connected output P wh,t of the wind-storage combined unit in period t, and an inner model is constructed with the goal of minimizing the standard deviation of fluctuations in the wind-storage combined operation. The inner model is used to determine the pumping or generating power of the pumped storage unit;

基于风蓄火联合并网收益Cwhf,以及火电机组的燃料成本Cfuel、火电机组的环境成本Cenvir、旋转备用成本CR和发电企业给予用户的可中断负荷激励成本Cload,以可中断负荷的风电全消纳下发电企业的日收益为最大目标构建外层模型;Based on the wind-storage-thermal combined grid connection income Cwhf , as well as the fuel cost of thermal power units Cfuel , the environmental cost of thermal power units Cenvir , the spinning reserve cost CR and the interruptible load incentive cost Cload given by the power generation enterprise to the user, the outer model is constructed with the daily income of the power generation enterprise under the full absorption of wind power of the interruptible load as the maximum goal;

S3、将通过内层模型得到的风蓄联合运行出力代入外层模型,结合内层模型的约束条件和外层模型的约束条件,其中,基于步骤S13构建的风电预测误差分析模型,通过机会约束规划,将外层模型的上旋转备用约束和下旋转备用约束转变换为置信水平为α的确定性约束,利用粒子群算法对外层模型进行求解,获得满足系统旋转备用的各机组出力以及可中断负荷参与系统的调度计划。S3. Substitute the wind-storage joint operation output obtained by the inner model into the outer model, combine the constraints of the inner model and the outer model, wherein, based on the wind power prediction error analysis model constructed in step S13, the upper spinning reserve constraint and the lower spinning reserve constraint of the outer model are transformed into deterministic constraints with a confidence level of α through chance constraint planning, and the particle swarm algorithm is used to solve the outer model to obtain the output of each unit that meets the system spinning reserve and the scheduling plan of the interruptible load participating in the system.

本方法考虑风电的不确定性,首先利用传统机组与抽水蓄能机组满足风电预测误差和负荷引起的的旋转备用需求,当从电源端不能满足要求时,考虑从负荷端将可中断负荷等效为旋转备用满足系统可靠性要求。利用BP神经网络进行风电预测,利用风速与功率函数关系得到风电出力,使用Beta函数拟合风电出力的概率密度函数,运用数学中的概率方法对风电预测误差进行表示。采用内外两层模型嵌套求解,即优先建立内层风电入网波动最小模型以决定抽水蓄能机组的抽水或发电功率,再在外层建立不同置信水平下计及可中断负荷的含系统旋转备用成本的风蓄火联合运行日收益最大目标模型。采用机会约束规划处理风蓄火联合运行模型中的随机变量,使用罚函数法处理约束条件,求解方法采用改进粒子群算法,有效提高了风电等新能源并网的安全可靠性。This method takes into account the uncertainty of wind power. First, traditional units and pumped storage units are used to meet the spinning reserve demand caused by wind power prediction errors and loads. When the requirements cannot be met from the power supply end, the interruptible load is considered to be equivalent to the spinning reserve from the load end to meet the system reliability requirements. BP neural network is used to predict wind power, the wind power output is obtained by using the relationship between wind speed and power function, the probability density function of wind power output is fitted using the Beta function, and the wind power prediction error is represented by the probability method in mathematics. The inner and outer two-layer model is nested for solution, that is, the inner layer wind power grid-connected minimum fluctuation model is established first to determine the pumping or power generation power of the pumped storage unit, and then the outer layer is established to take into account the interruptible load and the system spinning reserve cost. The maximum target model of the daily profit of the wind-storage-fire joint operation is established. The random variables in the wind-storage-fire joint operation model are processed by chance constrained programming, and the constraint conditions are processed by the penalty function method. The solution method adopts the improved particle swarm algorithm, which effectively improves the safety and reliability of the grid connection of new energy such as wind power.

进一步地,步骤S1中,风电出力的概率密度函数如式(1)所示:Furthermore, in step S1, the probability density function of wind power output is as shown in formula (1):

式(1)中,p为按照Beta分布函数的随机变量,表示风电实际出力,α和β表示参数,B(α,β)表示Beta函数,Beta函数如式(2)所示:In formula (1), p is a random variable according to the Beta distribution function, which represents the actual wind power output, α and β represent parameters, and B(α, β) represents the Beta function. The Beta function is shown in formula (2):

上式(2)中的参数α和β和参数方差σ2和均值μ有关,α和β分别用式(3)和式(4)表示:The parameters α and β in the above formula (2) are related to the parameter variance σ 2 and the mean μ . α and β are expressed by formula (3) and formula (4) respectively:

进一步地,步骤S1中,风电预测误差分析模型包括如下两种情况:Furthermore, in step S1, the wind power prediction error analysis model includes the following two cases:

(1)某一置信水平下,预测风电功率大于实际风电功率,用概率的方法表述如式(5)所示:(1) At a certain confidence level, the predicted wind power is greater than the actual wind power, which can be expressed in terms of probability as shown in formula (5):

(2)某一置信水平下,预测风电功率小于实际风电功率,用概率的方法表述如式(6)所示:(2) At a certain confidence level, the predicted wind power is less than the actual wind power, which can be expressed in terms of probability as shown in formula (6):

式(5)和式(6)中,a和b分别为风电预测误差在某一置信水平α下的概率区间估计的下限和上限,a和b与置信水平α的关系分别如式(7)和式(8)所示:In formula (5) and formula (6), a and b are the lower limit and upper limit of the probability interval estimation of wind power prediction error under a certain confidence level α, respectively. The relationship between a and b and the confidence level α is shown in formula (7) and formula (8), respectively:

Fcdf(a)=(1-α)Fcdf(Pwn,t) (7)F cdf (a)=(1-α)F cdf (P wn,t ) (7)

Fcdf(b)=α+(1-α)Fcdf(Pwn,t) (8)F cdf (b)=α+(1-α)F cdf (P wn,t ) (8)

式(7)和式(8)中,Fcdf(·)为累积概率分布,与概率密度函数的关系为 In equations (7) and (8), F cdf (·) is the cumulative probability distribution, and its relationship with the probability density function is:

其中,标幺化的风电输出功率的预测值Pwn和风电输出功率的实际值P的计算模型分别如式(9)和式(10)所示:Among them, the calculation models of the normalized wind power output prediction value P wn and the actual value P of wind power output power are shown in equations (9) and (10) respectively:

式(9)和式(10)中,Pwe为风电场装机规模的总容量,Pw和P分别为风电预测输出功率和实际输出功率的真实值。In equations (9) and (10), Pwe is the total capacity of the wind farm installed capacity, Pw and P are the true values of the predicted wind power output power and the actual output power, respectively.

进一步地,步骤S2中,所述内层模型如式(11)所示:Furthermore, in step S2, the inner layer model is as shown in formula (11):

式(11)中,Pwh,t为t时段风蓄联合机组的并网出力,T表示1个调度周期,为24h,为风蓄联合机组的平均并网出力,的计算模型如式(12)所示:In formula (11), P wh,t is the grid-connected output of the wind-storage combined unit in period t, T represents a dispatching cycle of 24 hours, is the average grid-connected output of the wind-storage combined unit, The calculation model of is shown in formula (12):

式(12)中,T表示1个调度周期,为24h,Pwh,t的计算模型如式(13)和式(14)所示:In formula (12), T represents one scheduling period, which is 24 hours. The calculation model of P wh,t is shown in formula (13) and formula (14):

Pwh,t=Pw,t-Pp,tup,t+Pg,tug,t (13)P wh,t =P w,t -P p,t u p,t +P g,t u g,t (13)

式(13)和式(14)中,Pwh,t为t时段风蓄联合机组的并网出力;Pp,t和Pg,t分别为t时段的抽水功率和发电功率;分别为t时段抽蓄机组处于发电状态和抽水状态下的风蓄联合运行并网出力;Pw,t分别为t时段风电的预测功率和平均预测功率;up,t和ug,t分别为抽水蓄能机组是否处于抽水或发电状态;up,t和ug,t的状态表示如式(15)所示:In equations (13) and (14), P wh,t is the grid-connected output of the wind-storage combined unit in period t; P p,t and P g,t are the pumping power and generating power in period t, respectively; and are the wind-storage combined operation and grid-connected output of the pumped-storage unit in power generation and pumping states during period t; P w,t and are the predicted power and average predicted power of wind power in period t respectively; up,t and u g,t are whether the pumped storage unit is in the pumping or generating state respectively; the state representation of up,t and u g,t is shown in formula (15):

式(15)中,1表示在此状态,0表示不在对应状态,式(15)表示抽水蓄能机组不能同时处于抽水和发电状态;In formula (15), 1 means in this state, and 0 means not in the corresponding state. Formula (15) indicates that the pumped storage unit cannot be in the pumping and power generation states at the same time;

其中,的计算模型如式(16)所示:in, The calculation model of is shown in formula (16):

进一步地,步骤S2中,所述外层模型的计算模型如式(17)所示:Furthermore, in step S2, the calculation model of the outer layer model is shown in formula (17):

Cmax=Cwhf-(Cfuel+Cenvir+CR+Cload) (17)C max =C whf -(C fuel +C envir +C R +C load ) (17)

其中,风蓄火联合并网收益Cwhf的计算模型如式(18)所示:Among them, the calculation model of wind-storage-thermal combined grid-connected income Cwhf is shown in formula (18):

式(18)中,为可中断负荷的有功功率,Pwhλwh为风蓄联合运行的收益,Pi,t为火电机组i在t时段的出力;λG为火电上网单价,T表示1个调度周期,为24h;In formula (18), is the active power of the interruptible load, P wh λ wh is the income of the wind-storage joint operation, P i,t is the output of thermal power unit i in period t; λ G is the unit price of thermal power on the grid, T represents a dispatching cycle, which is 24h;

火电机组的燃料成本Cfuel的计算模型如式(19)所示:The calculation model of the fuel cost C fuel of thermal power units is shown in formula (19):

式(19)中,N表示火电机组的机组数量;ai、bi、ci为火电机组i的燃料成本系数;T表示1个调度周期,为24h;Pi,t为火电机组i在t时段的出力;为可中断负荷的有功功率;In formula (19), N represents the number of thermal power units; a i , b i , c i are the fuel cost coefficients of thermal power unit i; T represents a scheduling cycle, which is 24 hours; P i,t is the output of thermal power unit i in period t; is the active power of the interruptible load;

火电机组的环境成本Cenvir的计算模型如式(20)所示:The calculation model of the environmental cost C envir of thermal power units is shown in formula (20):

式(20)中,λenvir,c和λenvir,s分别表示火电机组发电产生的CO2和SO2的环境成本系数,αc,i、βc,i、γc,i表示火电机组i的CO2排放系数;αs,i、βs,i、γs,i表示火电机组i的SO2排放系数;Pi,t为火电机组i在t时段的出力;为可中断负荷的有功功率;ui,t为火电机组i在t时段的开停机状态,1表示开机,0表示停机;In formula (20), λ envir,c and λ envir,s represent the environmental cost coefficients of CO 2 and SO 2 generated by thermal power generation, respectively; α c,i , β c,i , γ c,i represent the CO 2 emission coefficient of thermal power unit i; α s,i , β s,i , γ s,i represent the SO 2 emission coefficient of thermal power unit i; P i,t is the output of thermal power unit i in period t; is the active power of the interruptible load; u i,t is the start and stop status of thermal power unit i in period t, 1 means start, 0 means stop;

旋转备用成本CR的计算模型如式(21)所示:The calculation model of spinning reserve cost CR is shown in formula (21):

式(21)中,N表示火电机组的机组数量;T表示1个调度周期,为24h;分别表示t时段系统的上、下旋转备用需求;λup和λdn分别表示上、下旋转备用需求成本系数;为可中断负荷的有功功率;In formula (21), N represents the number of thermal power units; T represents a scheduling cycle, which is 24 hours; and They represent the upper and lower spinning reserve demands of the system in period t respectively; λ up and λ dn represent the upper and lower spinning reserve demand cost coefficients respectively; is the active power of the interruptible load;

可中断负荷激励成本Cload的计算模型如式(22)所示:The calculation model of interruptible load incentive cost C load is shown in formula (22):

式(22)中,M表示可中断负荷节点数,为可中断负荷m在t时段的经济补偿。In formula (22), M represents the number of interruptible load nodes, is the economic compensation for the interruptible load m during period t.

进一步地,骤S3中,内层模型的约束条件包括风蓄联合并网出力约束、上水库储能约束、抽蓄机组的功率约束、抽蓄机组的功率约束和风电机组预测功率约束。Furthermore, in step S3, the constraints of the inner model include wind-storage combined grid-connected output constraints, upper reservoir energy storage constraints, pumped storage unit power constraints, pumped storage unit power constraints and wind turbine unit predicted power constraints.

进一步地,步骤S3中,外层模型的约束条件包括系统功率平衡约束、系统潮流约束、0线路传输功率约束、系统节点电压约束、火电机组的出力约束、火电机组爬坡约束和旋转备用约束。Furthermore, in step S3, the constraints of the outer model include system power balance constraints, system power flow constraints, 0-line transmission power constraints, system node voltage constraints, thermal power unit output constraints, thermal power unit ramp constraints and spinning reserve constraints.

进一步地,旋转备用约束包括:Furthermore, the spinning reserve constraints include:

基于机会约束规划的上旋转备用约束,如式(23)-式(25)所示:The upper spinning reserve constraint based on chance-constrained programming is shown in equations (23) to (25):

基于机会约束规划的下旋转备用约束,如式(26)-式(28)所示:The lower spinning reserve constraint based on chance-constrained programming is shown in equations (26) to (28):

式(23)-式(28)中,N表示火电机组的机组数量,分别为火电机组i在t时段提供的上、下旋转备用容量;都为t时段系统负荷的备用需求容量;分别为t时段抽蓄机组提供的上、下旋转备用;α为置信水平;T10为旋转备用响应时间;为可中断负荷的有功功率,p为标幺化后的风电实际输出功率,Pwh,t为t时段风蓄联合机组的并网出力,Pi max和Pi min分别为火电机组i出力的最大值和最小值,ri,up和ri,dn分别为机组i单位时间的向上爬坡功率和向下爬坡功率;Emax上水库的最小储能;ηg和ηp分别为抽蓄机组的发电效率和抽水效率,Et为t时段上水库储能,Pi,t为火电机组i在t时段的出力,Pp,t为抽水蓄能机组在t时段的抽水功率,Pp max为抽水蓄能机组的最大抽水功率。In formula (23) to formula (28), N represents the number of thermal power units, and are the upper and lower spinning reserve capacities provided by thermal power unit i in period t respectively; and All are the reserve demand capacity of the system load during period t; and are the upper and lower spinning reserves provided by the pumped storage unit during period t ; α is the confidence level; T 10 is the spinning reserve response time; is the active power of the interruptible load, p is the normalized actual wind power output power, P wh,t is the grid-connected output of the wind-storage combined unit in period t, P i max and P i min are the maximum and minimum output of thermal power unit i respectively, ri ,up and ri ,dn are the upward climbing power and downward climbing power of unit i per unit time respectively; E max is the minimum energy storage of the upper reservoir; η g and η p are the power generation efficiency and pumping efficiency of the pumped storage unit respectively, E t is the energy storage of the upper reservoir in period t, P i,t is the output of thermal power unit i in period t, P p,t is the pumping power of the pumped storage unit in period t, and P p max is the maximum pumping power of the pumped storage unit.

一种用于可中断负荷的风蓄火联合调度的系统,所述系统包括处理器,所述处理器配置为执行上述风蓄火联合调度方法。A system for wind-storage-fire combined scheduling of interruptible loads, the system comprising a processor, and the processor is configured to execute the above-mentioned wind-storage-fire combined scheduling method.

一种计算机可读存储介质,该存储介质存储有指令,该指令用于当被处理器执行时使所述处理器执行上述风蓄火联合调度方法。A computer-readable storage medium stores instructions, which are used to enable the processor to execute the above-mentioned wind-storage-fire joint scheduling method when executed by the processor.

本发明与现有技术相比,具有如下的优点和有益效果:Compared with the prior art, the present invention has the following advantages and beneficial effects:

1、本发明充分考虑了风电的不确定性,首先利用传统机组与抽水蓄能机组满足风电预测误差和负荷引起的旋转备用需求,当从电源端不能满足要求时,考虑从负荷端将可中断负荷等效为旋转备用满足系统可靠性要求,有效提高了风电等新能源并网的安全可靠性。1. The present invention fully considers the uncertainty of wind power. First, it uses traditional units and pumped storage units to meet the spinning reserve demand caused by wind power prediction errors and loads. When the requirements cannot be met from the power supply end, it considers converting the interruptible load from the load end into spinning reserve to meet the system reliability requirements, which effectively improves the safety and reliability of the grid connection of new energy such as wind power.

2、本发明为了保证电网可靠性,通过电源端配置抽水蓄能电站和负荷端利用可中断负荷保证系统留有充足的旋转备用容量以应对风电预测误差造成的系统旋转备用需求增加。2. In order to ensure the reliability of the power grid, the present invention configures a pumped storage power station at the power supply end and uses interruptible loads at the load end to ensure that the system has sufficient spinning reserve capacity to cope with the increase in system spinning reserve demand caused by wind power prediction errors.

3、本发明可以保证风电并网量的消纳,减少火电机组的消耗,保护环境增加发电企业的经济收益。3. The present invention can ensure the absorption of wind power grid-connected, reduce the consumption of thermal power units, protect the environment and increase the economic benefits of power generation companies.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

此处所说明的附图用来提供对本发明实施例的进一步理解,构成本申请的一部分,并不构成对本发明实施例的限定。在附图中:The drawings described herein are used to provide a further understanding of the embodiments of the present invention, constitute a part of this application, and do not constitute a limitation of the embodiments of the present invention. In the drawings:

图1为本发明修改后的IEEE30节点示意图;FIG1 is a schematic diagram of the modified IEEE30 node of the present invention;

图2为风电功率预测与负荷预测图;Figure 2 is a diagram of wind power prediction and load prediction;

图3为风蓄联合运行时各有功功率曲线图;Figure 3 is a graph showing active power curves during wind and storage combined operation;

图4为上旋转备用和需求容量对比图;Figure 4 is a comparison chart of upper spinning reserve and demand capacity;

图5为各置信水平下旋转备用需求容量对比图;FIG5 is a comparison chart of the spinning reserve demand capacity at each confidence level;

图6为置信水平为0.9时各时段的机组出力计划示意图。Figure 6 is a schematic diagram of the unit output plan for each period when the confidence level is 0.9.

具体实施方式DETAILED DESCRIPTION

为使本发明的目的、技术方案和优点更加清楚明白,下面结合实施例和附图,对本发明作进一步的详细说明,本发明的示意性实施方式及其说明仅用于解释本发明,并不作为对本发明的限定。In order to make the objectives, technical solutions and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with embodiments and drawings. The exemplary implementation modes of the present invention and their description are only used to explain the present invention and are not intended to limit the present invention.

实施例1:Embodiment 1:

可中断负荷的风蓄火联合调度方法,包括以下步骤:The wind-storage-fire joint dispatching method for interruptible loads comprises the following steps:

S1、风电预测误差分析:S1. Wind power forecast error analysis:

择Beta分布拟合风电出力概率密度函数,Beta具有两个优点:其一,服从Beta分布对象的自变量取值范围为[0,1],与风电出力标幺化后的值一致;其二,Beta分布的两个形状参数不同时,可描述不同情况的风电出力曲线。Beta distribution is selected to fit the probability density function of wind power output. Beta has two advantages: first, the value range of the independent variable that obeys the Beta distribution object is [0,1], which is consistent with the value of the wind power output after normalization; second, when the two shape parameters of the Beta distribution are different, the wind power output curves in different situations can be described.

Beta分布的风电出力的概率密度函数可用下式表示。The probability density function of Beta distributed wind power output can be expressed as follows.

式中,p为按照Beta分布函数的随机变量,表示风电实际出力,α和β表示参数,B(α,β)表示Beta函数。Where p is a random variable with Beta distribution function, which represents the actual wind power output, α and β represent parameters, and B(α,β) represents Beta function.

上式(2)中的参数α和β和参数方差σ2和均值μ有关,可用以下式子表示。The parameters α and β in the above formula (2) are related to the parameter variance σ 2 and mean μ, and can be expressed by the following formula.

由于Beta分布对象的取值范围为[0,1],所以在对风电预测数据进行分析求解时,需要将风电输出功率的预测值Pwn和实际值P进行标幺化。Since the value range of the Beta distribution object is [0,1], when analyzing and solving the wind power prediction data, it is necessary to normalize the predicted value P wn and the actual value P of the wind power output power.

式中,pwn和p分别为标幺化后的风电预测输出功率和风电实际输出功率,Pw和P分别为风电预测输出功率和实际输出功率的真实值,Pwe为风电场装机规模的总容量。Where pwn and p are the normalized predicted wind power output power and actual wind power output power, Pw and P are the true values of the predicted wind power output power and actual wind power output power, and Pwe is the total capacity of the wind farm installed capacity.

风电预测误差分析包括如下两种情况:Wind power forecast error analysis includes the following two cases:

(1)某一置信水平下,预测风电功率大于实际风电功率,用概率的方法表述如下式。(1) At a certain confidence level, the predicted wind power is greater than the actual wind power, which can be expressed in the following probabilistic way.

(2)某一置信水平下,预测风电功率小于实际风电功率,用概率的方法表述如下式。(2) At a certain confidence level, the predicted wind power is less than the actual wind power, which can be expressed in the following probabilistic way.

式中,a和b分别为风电预测误差在某一置信水平α下的概率区间估计的下限和上限。Where a and b are the lower and upper limits of the probability interval estimate of wind power forecast error at a certain confidence level α.

a和b与置信水平α有如下关系。a and b have the following relationship with the confidence level α.

Fcdf(a)=(1-α)Fcdf(Pwn,t) (9)F cdf (a)=(1-α)F cdf (P wn,t ) (9)

Fcdf(b)=α+(1-α)Fcdf(Pwn,t) (10)F cdf (b)=α+(1-α)F cdf (P wn,t ) (10)

式中,Fcdf(·)为累积概率分布,与概率密度函数的关系为 Where F cdf (·) is the cumulative probability distribution, and its relationship with the probability density function is:

S2、可中断负荷的风蓄火联合调度模型构建:S2. Construction of wind-storage-fire joint dispatch model for interruptible loads:

内层模型通过建立风蓄联合运行波动标准差最小目标得到风蓄联合运行出力代入外层模型满足计及可中断负荷的风电全消纳下发电企业日收益最大目标函数,得到满足系统旋转备用的各机组出力以及可中断负荷参与系统的调度计划。The inner model establishes the minimum standard deviation target for the combined operation of wind and storage to obtain the combined operation output of wind and storage, and substitutes it into the outer model to meet the maximum objective function of the power generation enterprise's daily profit under the full absorption of wind power taking into account the interruptible load, thereby obtaining the output of each unit that meets the system's rotating reserve and the dispatch plan for the interruptible load to participate in the system.

内层目标函数:风蓄联合运行波动标准差最小。风蓄联合运行波动标准差越小,风蓄联合并网功率越平滑。Inner objective function: Minimize the standard deviation of wind-storage combined operation fluctuations. The smaller the standard deviation of wind-storage combined operation fluctuations, the smoother the wind-storage combined grid-connected power.

式中,Fwhvv为风蓄联合运行的波动标准差;为风蓄联合机组的平均并网出力。Where, F whvv is the standard deviation of fluctuation of wind-storage combined operation; It is the average grid-connected output of the wind-storage combined unit.

Pwh,t=Pw,t-Pp,tup,t+Pg,tug,t (13)P wh,t =P w,t -P p,t u p,t +P g,t u g,t (13)

式中,Pwh,t为t时段风蓄联合机组的并网出力;Pp,t和Pg,t分别为t时段的抽水功率和发电功率;分别为t时段抽蓄机组处于发电状态和抽水状态下的风蓄联合运行并网出力;Pw,t分别为t时段风电的预测功率和平均预测功率;up,t和ug,t分别为抽水蓄能机组是否处于抽水或发电状态,1表示在此状态,0表示不在对应状态;T表示1个调度周期即24h;式子(15)表示抽水蓄能机组不能同时处于抽水和发电状态。Where, P wh,t is the grid-connected output of the wind-storage combined unit in period t; P p,t and P g,t are the pumping power and generating power in period t, respectively; and are the wind-storage combined operation and grid-connected output of the pumped-storage unit in power generation and pumping states during period t; P w,t and are the predicted power and average predicted power of wind power in period t respectively; up,t and g,t respectively represent whether the pumped storage unit is in the pumping or generating state, 1 indicates it is in this state, and 0 indicates it is not in the corresponding state; T represents one scheduling cycle, i.e. 24h; Formula (15) indicates that the pumped storage unit cannot be in the pumping and generating state at the same time.

内层约束条件Inner Constraints

风蓄联合运行并网出力在抽水蓄能机组抽水状态和发电状态下约束Wind-storage combined operation grid-connected output constraints under pumping and power generation states of pumped storage units

式中,分别为风蓄机组联合运行并网出力的最小值和最大值。In the formula, and They are respectively the minimum and maximum values of the grid-connected output of the wind-storage units in joint operation.

上水库储能约束Upper reservoir energy storage constraints

Emin≤Et≤Emax (19)E min ≤E t ≤E max (19)

式中,Emax和Emin分别为最大、最小储能;ηg和ηp分别为抽蓄机组的发电效率和抽水效率。Where E max and E min are the maximum and minimum energy storage, respectively; η g and η p are the power generation efficiency and pumping efficiency of the pumped storage unit, respectively.

抽蓄机组的功率约束Power Constraints of Pumped Storage Units

式中,Pg max和Pp max分别为抽蓄机组发电功率最大值和抽水功率最大值;Et为t时段上水库储能;Δt为一个调度时段长度即1h。Where P g max and P p max are the maximum power generation capacity and pumping capacity of the pumped storage unit, respectively; E t is the energy storage in the reservoir during period t; Δt is the length of a scheduling period, i.e., 1h.

风电机组预测功率约束Wind turbine prediction power constraints

0≤Pw,t≤Pwe (23)0≤P w,t ≤P we (23)

式中,Pwe为风电机组装机容量的额定出力值。Where P we is the rated output value of the wind turbine installed capacity.

外层目标函数:包含风蓄火联合并网收益,火电机组的燃料成本、火电机组的环境成本、旋转备用成本和发电企业给予用户的可中断负荷激励成本。Outer objective function: includes the benefits of wind-storage-firepower combined grid connection, the fuel cost of thermal power units, the environmental cost of thermal power units, the spinning reserve cost and the interruptible load incentive cost given by power generation enterprises to users.

Cmax=Cwhf-(Cfuel+Cenvir+CR+Cload) (24)C max =C whf -(C fuel +C envir +C R +C load ) (24)

(1)风蓄火联合并网收益Cwhf (1) Wind-storage-thermal combined grid connection income C whf

式中,为可中断负荷的有功功率。In the formula, is the active power of the interruptible load.

(2)包含可中断负荷的火电机组的燃料成本(2) Fuel cost of thermal power units including interruptible load

式中,N表示火电机组的机组数量;ai、bi、ci为火电机组i的燃料成本系数。Where N represents the number of thermal power units; a i , b i , c i are the fuel cost coefficients of thermal power unit i.

(3)包含可中断负荷的火电机组的环境成本(3) Environmental costs of thermal power units including interruptible loads

式中,λenvir,c和λenvir,s分别表示火电机组发电产生的CO2和SO2的环境成本系数,αc,i、βc,i、γc,i分别表示火电机组i的CO2排放系数;αs,i、βs,i、γs,i分别表示火电机组i的SO2排放系数。In the formula, λ envir,c and λ envir,s represent the environmental cost coefficients of CO2 and SO2 generated by thermal power generation, respectively; α c,i , β c,i , and γ c,i represent the CO2 emission coefficients of thermal power unit i, respectively; α s,i , β s,i , and γ s,i represent the SO2 emission coefficients of thermal power unit i, respectively.

(4)包含可中断负荷的火电机组提供的旋转备用成本(4) Spinning reserve costs provided by thermal power units including interruptible loads

式中,分别表示t时段系统的上、下旋转备用需求;λup和λdn分别表示上、下旋转备用需求成本系数。In the formula, and They represent the upper and lower spinning reserve demands of the system in period t respectively; λ up and λ dn represent the upper and lower spinning reserve demand cost coefficients respectively.

(5)发电企业提供给可中断负荷的响应成本(5) Response costs provided by power generation companies to interruptible loads

外层约束条件Outer Constraints

(1)系统功率平衡约束(1) System power balance constraints

式中,Pload,t为t时段负荷功率,Ploss,t为t时段系统损耗有功功率。Where P load,t is the load power during period t, and P loss,t is the system active power loss during period t.

(2)系统潮流约束(2) System power flow constraints

式中,Pe,t和Qe,t分别为t时段电源注入节点e的有功功率和无功功率;Ve,t、Vf,t分别为t时段节点s和节点j的电压幅值;Gef,Bef分别为系统节点e和节点f的电导与电纳;θef为系统节点e和节点f之间的电压相角差。Where, Pe,t and Qe ,t are the active power and reactive power injected into node e by the power supply during period t, respectively; Ve,t and Vf ,t are the voltage amplitudes of node s and node j during period t, respectively; Gef and Bef are the conductance and susceptance of system node e and node f, respectively; θef is the voltage phase difference between system node e and node f.

(3)0线路传输功率约束(3)0 Line Transmission Power Constraint

式中,Pef,t为t时段线路ef上传输的有功功率;分别为线路ef上传输有功功率的上限和下限。Where P ef,t is the active power transmitted on line ef during period t; and They are respectively the upper and lower limits of the active power transmitted on line ef.

(4)系统节点电压约束(4) System node voltage constraints

式中,分别为节点f的电压幅值的下限和上限。In the formula, and are the lower and upper limits of the voltage amplitude at node f respectively.

(5)火电机组的出力约束(5) Output constraints of thermal power units

ui,tPi min≤Pi,t≤ui,tPi max (35)u i,t P i min ≤P i,t ≤u i,t P i max (35)

式中,Pi max和Pi min分别为火电机组i出力的最大值和最小值。 Where Pimax and Pimin are the maximum and minimum output values of thermal power unit i , respectively.

(6)火电机组爬坡约束(6) Thermal power unit climbing constraints

式中,ri,up和ri,dn分别为机组i单位时间的向上爬坡功率和向下爬坡功率,Δt表示调度单位时间段1h。Where ri,up and ri ,dn are the upward climbing power and downward climbing power of unit i per unit time, respectively, and Δt represents the scheduling unit time period of 1h.

(7)旋转备用约束(7) Spinning reserve constraints

基于机会约束规划的上旋转备用约束Up-spinning reserve constraints based on chance-constrained programming

基于机会约束规划的下旋转备用约束Lower Spinning Reserve Constraints Based on Chance Constrained Programming

式中,分别为火电机组i在t时段提供的上、下旋转备用容量;都为t时段系统负荷的备用需求容量,一般取总负荷的5%;分别为t时段抽蓄机组提供的上、下旋转备用;α为置信水平;T10为旋转备用响应时间,即取10min。In the formula, and are the upper and lower spinning reserve capacities provided by thermal power unit i in period t respectively; and Both are the reserve demand capacity of the system load during period t, generally 5% of the total load; and They are the upper and lower spinning reserves provided by the pumped storage unit during period t ; α is the confidence level; T 10 is the spinning reserve response time, which is 10 minutes.

S3、随机变量的处理:S3. Processing of random variables:

标幺化的风电实际出力为随机变量,通过机会约束规划,将上、下旋转备用约束转变换为置信水平为α的确定性约束。The normalized actual wind power output is a random variable. Through chance constrained programming, the upper and lower spinning reserve constraints are transformed into deterministic constraints with a confidence level of α.

将式(37)和(40)转换为如式(43)和(44)。Convert equations (37) and (40) into equations (43) and (44).

式中,Pwn,t为标幺化处理的预测出力;a、b分别为风电出力满足置信水平α时对应区间的下限和上限。Where Pwn,t is the normalized predicted output; a and b are the lower and upper limits of the corresponding interval when the wind power output meets the confidence level α.

S4、模型求解方法S4. Model solution method

模型研究的是多峰值的经济调度优化问题,因此选用对全局搜索和局部搜索能较好平衡的变权重的粒子群算法,公式如下所示:The model studies the multi-peak economic dispatch optimization problem, so the variable weight particle swarm algorithm that can better balance the global search and local search is selected. The formula is as follows:

式中,w(k)为第k次迭代中更新的惯性权重,wmax和wmin分别为迭代过程中惯性权重的最大值和最小值;Kmax为算法迭代次数的最大值。Where w(k) is the inertia weight updated in the kth iteration, w max and w min are the maximum and minimum values of the inertia weight during the iteration, respectively; K max is the maximum number of algorithm iterations.

本实施例首先使用Beta函数拟合风电出力的概率密度函数,运用数学中的概率方法对风电预测误差进行表示。考虑风电预测误差是含风电系统调度的基础,且考虑风电预测误差后会导致系统的旋转备用增加,通过电源端利用抽水蓄能机组和传统机组提供旋转备用以及风电并网量增加后利用负荷端可中断负荷等效为旋转备用,来解决大规模风电并网后引起的传统机组旋转备用容量不足的情况。This embodiment first uses the Beta function to fit the probability density function of wind power output, and uses the probability method in mathematics to represent the wind power prediction error. Considering that the wind power prediction error is the basis for the dispatch of the wind power system, and considering the wind power prediction error will lead to an increase in the system's spinning reserve, the power supply end uses pumped storage units and traditional units to provide spinning reserve, and after the increase in wind power grid-connected capacity, the load end can interrupt the load equivalent to the spinning reserve to solve the problem of insufficient spinning reserve capacity of traditional units caused by large-scale wind power grid connection.

为验证本实施例所述内外两层模型的有效性,算例采用修改后的IEEE30节点6机系统进行仿真检验运算如图1所示,在节点7接入风蓄联合机组。火电机组参数见表1所示,风电功率预测与负荷预测如图2所示。风电场的额定容量为100MW,抽水蓄能的最大发电功率为40MW,最大抽水功率为60MW,可逆式水轮机的发电效率为0.8,抽水效率为0.85,上游水库的初始储能为50MWh。为便于计算,风电24个时段的发电功率均满足参数α=2.767、β=2.517的Beta概率密度函数。对于火电机组对环境产生的影响用CO2和SO2的环境成本来量化,环境成本系数均为3.5元/kg,上、下旋转备用成本系数分别取140元/MWh和80元/MWh。风蓄火联合运行的上网电价取为:Ct=540元/M Wh,0≤t<8,Ct=1038.4元/M Wh,8≤t<22,Ct=540元/M Wh,22≤t<24,抽水蓄能的抽水费用取为:Cp,t=0.25Ct,1≤t≤24。改进粒子群算法的种群个体取100个,迭代的最大次数取80次,算法中的学习因子c1、c2都取为2,变惯性权重的最大值wmax和最小值wmin分别取为0.9和0.3。To verify the effectiveness of the inner and outer two-layer model described in this embodiment, the example uses the modified IEEE30-node 6-machine system for simulation verification as shown in Figure 1, and the wind-storage combined unit is connected at node 7. The parameters of the thermal power unit are shown in Table 1, and the wind power prediction and load prediction are shown in Figure 2. The rated capacity of the wind farm is 100MW, the maximum power generation of pumped storage is 40MW, the maximum pumping power is 60MW, the power generation efficiency of the reversible turbine is 0.8, the pumping efficiency is 0.85, and the initial energy storage of the upstream reservoir is 50MWh. For ease of calculation, the power generation of wind power in 24 periods meets the Beta probability density function with parameters α=2.767 and β=2.517. The impact of thermal power units on the environment is quantified by the environmental costs of CO2 and SO2 . The environmental cost coefficients are both 3.5 yuan/kg, and the upper and lower rotating reserve cost coefficients are 140 yuan/MWh and 80 yuan/MWh respectively. The on-grid electricity price for wind-storage-thermal combined operation is: C t = 540 yuan/M Wh, 0≤t<8, C t = 1038.4 yuan/M Wh, 8≤t<22, C t = 540 yuan/M Wh, 22≤t<24, and the pumping fee for pumped storage is: C p, t = 0.25C t , 1≤t≤24. The population of the improved particle swarm algorithm is 100 individuals, the maximum number of iterations is 80 times, the learning factors c 1 and c 2 in the algorithm are both 2, and the maximum value w max and minimum value w min of the variable inertia weight are 0.9 and 0.3 respectively.

表1火电机组参数Table 1 Thermal power unit parameters

当风电并网容量为100MW时,如附图3所示的风蓄联合运行时各有功功率曲线:When the wind power grid-connected capacity is 100MW, the active power curves of each type during wind-storage combined operation are as shown in Figure 3:

从图3中可以看出,抽水蓄能储能在调度周期始末时刻都是50MW,整个风蓄联合运行过程,体现了抽水蓄能的时空转移特性。风蓄联合调度过程中,总的弃风量为0MWh,风电的并网出力标准差为14MW。在不加抽水蓄能的风电并网中,总的弃风量为47MWh,风电的并网出力标准差为19.7MW。As can be seen from Figure 3, the pumped storage energy storage is 50MW at the beginning and end of the dispatch cycle. The entire wind-storage joint operation process reflects the time-space transfer characteristics of pumped storage. During the wind-storage joint dispatch process, the total wind abandonment is 0MWh, and the standard deviation of wind power grid-connected output is 14MW. In the wind power grid without pumped storage, the total wind abandonment is 47MWh, and the standard deviation of wind power grid-connected output is 19.7MW.

调度周期中,火电机组和抽水蓄能可以提供较大的下旋转备用容量,用来满足负荷和风电不确定性带来的下旋转备用需求容量。调度周期内,不同置信水平下系统提供的上旋转备用和系统上旋转备用需求容量对比如图4所示。During the dispatch cycle, thermal power units and pumped storage can provide a large lower spinning reserve capacity to meet the lower spinning reserve demand capacity caused by load and wind power uncertainty. During the dispatch cycle, the comparison of the upper spinning reserve provided by the system and the upper spinning reserve demand capacity of the system at different confidence levels is shown in Figure 4.

风蓄火联合运行提供的上旋转备用满足所有置信水平下的系统上旋转备用需求容量。系统中含有抽水蓄能机组时,系统的可靠性高。The upper spinning reserve provided by the combined operation of wind, storage and thermal power meets the system upper spinning reserve demand capacity at all confidence levels. When the system contains pumped storage units, the system reliability is high.

图5为五个置信水平1,0.95,0.9,0.85,0.8的上、下旋转备用需求容量:Figure 5 shows the upper and lower spinning reserve demand capacities at five confidence levels of 1, 0.95, 0.9, 0.85, and 0.8:

此时五个置信水平下的风火联合运行收益和风蓄火联合运行收益如表2所示:At this time, the wind-fire joint operation benefits and wind-storage-fire joint operation benefits at five confidence levels are shown in Table 2:

表2不同置信水平下有无抽蓄机组的系统收益对比Table 2 Comparison of system benefits with and without pumped storage units at different confidence levels

加入了抽水蓄能不但可以保证系统的可靠性,还可以减少煤的燃烧,减轻环境污染,提高系统经济收益。The addition of pumped storage can not only ensure the reliability of the system, but also reduce coal burning, alleviate environmental pollution and improve the economic benefits of the system.

选择置信水平为0.9时安排火电机组出力,此时发电收益较大,且备用需求满足要求。When the confidence level is 0.9, the thermal power units are arranged to output. At this time, the power generation profit is large and the reserve demand meets the requirements.

置信水平为0.9时火电机组的出力策略如图6所示:The output strategy of the thermal power unit when the confidence level is 0.9 is shown in Figure 6:

结果显示,在时段1-7和21-24负荷处于较低时,机组4处于下边界状态,没有选择停机,原因是此时系统的系统旋转备用需求较大需要火电机组为系统提供上旋转备用,增加系统的可靠性。机组5和6在时段9-20过程中由于系统负荷较大基本都处于完全出力状态。The results show that when the load is low in periods 1-7 and 21-24, unit 4 is at the lower boundary and does not choose to shut down because the system's spinning reserve demand is large and the thermal power unit needs to provide the system with upper spinning reserve to increase system reliability. Units 5 and 6 are basically in full output during periods 9-20 due to the large system load.

随着风电并网量提升,某一实地的抽水蓄能容量会因为实际情况受到限制,不能为了满足更大容量的风电而持续增加。将考虑当风电并网容量增加后,仅靠火电机组和抽蓄电站不足以解决备用容量问题时,考虑从负荷端,利用可中断负荷满足风电并网容量增加引起的旋转备用不足问题,考虑可中断负荷最大中断容量为15MW。As the amount of wind power connected to the grid increases, the pumped storage capacity of a certain site will be limited due to actual conditions and cannot continue to increase to meet the needs of larger wind power capacity. When the capacity of wind power connected to the grid increases, it will be considered that only thermal power units and pumped storage power stations are not enough to solve the problem of reserve capacity. From the load side, it will be considered to use interruptible loads to meet the problem of insufficient spinning reserve caused by the increase in wind power connected to the grid. The maximum interruption capacity of the interruptible load is considered to be 15MW.

不同风电并网容量下,五个置信水平1,0.95,0.9,0.85和0.8对应的可中断负荷的备用容量见表3。The reserve capacity of interruptible load corresponding to five confidence levels of 1, 0.95, 0.9, 0.85 and 0.8 under different wind power grid-connected capacities is shown in Table 3.

表3不同风电并网量的可中断负荷备用容量Table 3 Interruptible load reserve capacity for different wind power grid-connected quantities

在风电并网容量为100MW时,抽水蓄能和火电机组提供的旋转备用满足所有置信水平下考虑风电预测误差的旋转备用需求容量,不需要可中断负荷参与系统调度。当风电并网容量为150MW且置信水平为1时,系统的可中断负荷容量15MW全部参与系统的调度。When the wind power grid-connected capacity is 100MW, the spinning reserve provided by pumped storage and thermal power units meets the spinning reserve demand capacity considering wind power forecast errors at all confidence levels, and no interruptible load is required to participate in system dispatch. When the wind power grid-connected capacity is 150MW and the confidence level is 1, the system's interruptible load capacity of 15MW is fully involved in the system dispatch.

不同置信水平下,风电并网容量从100MW到150MW的上旋转备用需求见表4所示。The upper spinning reserve demand for wind power grid-connected capacity ranging from 100MW to 150MW at different confidence levels is shown in Table 4.

表4不同风电并网量的上旋转备用需求容量Table 4 The required capacity of upper spinning reserve for different wind power grid-connected quantities

同一风电并网量下,置信水平越高,系统需要满足的上旋转备用需求容量越大,置信水平的高低反应了系统满足上旋转备用可靠性的高低,即可靠性越高,需要满足的上旋转备用容量越大。同一置信水平下,风电并网容量的增加,系统的上旋转备用需求容量增加,因为风电并网容量增加,增加了风电并网的预测误差即增加了系统的上旋转备用需求容量。Under the same amount of wind power connected to the grid, the higher the confidence level, the greater the upper spinning reserve demand capacity that the system needs to meet. The confidence level reflects the reliability of the system in meeting the upper spinning reserve, that is, the higher the reliability, the greater the upper spinning reserve capacity that needs to be met. Under the same confidence level, the increase in wind power grid-connected capacity will increase the system's upper spinning reserve demand capacity, because the increase in wind power grid-connected capacity will increase the prediction error of wind power grid-connected capacity, that is, the system's upper spinning reserve demand capacity will increase.

不同风电并网量下的发电企业经济收益见表5所示。The economic benefits of power generation companies under different wind power grid-connected amounts are shown in Table 5.

风电并网容量相同,置信水平越低,发电企业的收益越多,在需要可中断负荷参与系统调度满足旋转备用需求容量时,发电企业的收益之差主要为发电企业提供给用户的可中断负荷成本和系统的旋转备用成本。在风电并网容量增加时,发电企业的收益之差主要是因为火电机组的燃料成本减少和氮硫化物造成的环境污染成本降低。With the same wind power grid-connected capacity, the lower the confidence level, the more revenue the power generation company will earn. When the interruptible load is required to participate in the system dispatch to meet the spinning reserve demand capacity, the difference in revenue of the power generation company is mainly the interruptible load cost provided by the power generation company to the user and the spinning reserve cost of the system. When the wind power grid-connected capacity increases, the difference in revenue of the power generation company is mainly due to the reduction in fuel costs of thermal power units and the reduction in environmental pollution costs caused by nitrogen and sulfides.

表5不同风电并网量的发电企业收益Table 5 Profits of power generation companies with different wind power grid-connected amounts

综上:In summary:

本实施例所述调度方法通过算例验证风电大规模并网条件下,为了保证电网可靠性通过电源端配置抽水蓄能电站和负荷端利用可中断负荷保证系统留有充足的旋转备用容量以应对风电预测误差造成的系统旋转备用需求增加。该方案可以保证风电并网量的消纳,减少火电机组的消耗,保护环境增加发电企业的经济收益。The dispatching method described in this embodiment verifies through calculation examples that under the condition of large-scale grid connection of wind power, in order to ensure the reliability of the power grid, a pumped storage power station is configured at the power supply end and an interruptible load is used at the load end to ensure that the system has sufficient spinning reserve capacity to cope with the increase in system spinning reserve demand caused by wind power forecast errors. This solution can ensure the absorption of wind power grid connection, reduce the consumption of thermal power units, protect the environment and increase the economic benefits of power generation companies.

以上所述的具体实施方式,对本发明的目的、技术方案和有益效果进行了进一步详细说明,所应理解的是,以上所述仅为本发明的具体实施方式而已,并不用于限定本发明的保护范围,凡在本发明的精神和原则之内,所做的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The specific implementation methods described above further illustrate the objectives, technical solutions and beneficial effects of the present invention in detail. It should be understood that the above description is only a specific implementation method of the present invention and is not intended to limit the scope of protection of the present invention. Any modifications, equivalent substitutions, improvements, etc. made within the spirit and principles of the present invention should be included in the scope of protection of the present invention.

Claims (8)

1.可中断负荷的风蓄火联合调度方法,其特征在于,包括以下步骤:1. A wind-storage-fire joint dispatching method for interruptible loads, characterized in that it comprises the following steps: S1、风电预测误差分析:S1. Wind power forecast error analysis: S11、基于Beta分布拟合风电出力概率密度函数;S11. Fitting wind power output probability density function based on Beta distribution; S12、对获取的风电场装机规模的总容量Pwe、风电预测输出功率Pw和实际输出功率的真实值P进行标幺化处理获得标幺化后的风电预测输出功率pwn和风电实际输出功率p;S12, performing per-unit normalization processing on the total capacity P we of the wind farm installed capacity, the predicted wind power output power P w and the real value P of the actual output power to obtain the normalized predicted wind power output power p wn and the actual wind power output power p; S13、基于步骤S1构建的风电出力概率密度函数和步骤S12获得的标幺化后的风电预测输出功率pwn和风电实际输出功率p构建某一置信水平α下风电预测误差分析模型;S13, constructing a wind power prediction error analysis model under a certain confidence level α based on the wind power output probability density function constructed in step S1 and the normalized wind power predicted output power p wn and wind power actual output power p obtained in step S12; S2、构建风蓄火联合调度模型:S2. Constructing a wind-fire joint dispatching model: 基于风蓄联合机组的平均并网出力和t时段风蓄联合机组的并网出力Pwh,t,以风蓄联合运行波动标准差最小为目标构建内层模型,所述内层模型用于决定抽水蓄能机组的抽水或发电功率;Based on the average grid-connected output of wind-storage combined units and the grid-connected output P wh,t of the wind-storage combined unit in period t, and an inner model is constructed with the goal of minimizing the standard deviation of fluctuations in the wind-storage combined operation. The inner model is used to determine the pumping or generating power of the pumped storage unit; 基于风蓄火联合并网收益Cwhf,以及火电机组的燃料成本Cfuel、火电机组的环境成本Cenvir、旋转备用成本CR和发电企业给予用户的可中断负荷激励成本Cload,以可中断负荷的风电全消纳下发电企业的日收益为最大目标构建外层模型;Based on the wind-storage-thermal combined grid connection income Cwhf , as well as the fuel cost of thermal power units Cfuel , the environmental cost of thermal power units Cenvir , the spinning reserve cost CR and the interruptible load incentive cost Cload given by the power generation enterprise to the user, the outer model is constructed with the daily income of the power generation enterprise under the full absorption of wind power of the interruptible load as the maximum goal; 所述内层模型如式(11)所示:The inner layer model is shown in formula (11): 式(11)中,Pwh,t为t时段风蓄联合机组的并网出力,T表示1个调度周期,为24h,为风蓄联合机组的平均并网出力,的计算模型如式(12)所示:In formula (11), P wh,t is the grid-connected output of the wind-storage combined unit in period t, T represents a dispatching cycle of 24 hours, is the average grid-connected output of the wind-storage combined unit, The calculation model of is shown in formula (12): 式(12)中,T表示1个调度周期,为24h,Pwh,t的计算模型如式(13)和式(14)所示:In formula (12), T represents one scheduling period, which is 24 hours. The calculation model of P wh,t is shown in formula (13) and formula (14): Pwh,t=Pw,t-Pp,tup,t+Pg,tug,t (13)P wh,t =P w,t -P p,t u p,t +P g,t u g,t (13) 式(13)和式(14)中,Pwh,t为t时段风蓄联合机组的并网出力;Pp,t和Pg,t分别为t时段的抽水功率和发电功率;分别为t时段抽蓄机组处于发电状态和抽水状态下的风蓄联合运行并网出力;Pw,t分别为t时段风电的预测功率和平均预测功率;up,t和ug,t分别为抽水蓄能机组是否处于抽水或发电状态;up,t和ug,t的状态表示如式(15)所示:In equations (13) and (14), P wh,t is the grid-connected output of the wind-storage combined unit in period t; P p,t and P g,t are the pumping power and generating power in period t, respectively; and are the wind-storage combined operation and grid-connected output of the pumped-storage unit in power generation and pumping states during period t; P w,t and are the predicted power and average predicted power of wind power in period t respectively; up,t and u g,t are whether the pumped storage unit is in the pumping or generating state respectively; the state representation of up,t and u g,t is shown in formula (15): 式(15)中,1表示在此状态,0表示不在对应状态,式(15)表示抽水蓄能机组不能同时处于抽水和发电状态;In formula (15), 1 means in this state, and 0 means not in the corresponding state. Formula (15) indicates that the pumped storage unit cannot be in the pumping and power generation states at the same time; 其中,的计算模型如式(16)所示:in, The calculation model of is shown in formula (16): 所述外层模型的计算模型如式(17)所示:The calculation model of the outer layer model is shown in formula (17): Cmax=Cwhf-(Cfuel+Cenvir+CR+Cload) (17)C max =C whf -(C fuel +C envir +C R +C load ) (17) 其中,风蓄火联合并网收益Cwhf的计算模型如式(18)所示:Among them, the calculation model of wind-storage-thermal combined grid-connected income Cwhf is shown in formula (18): 式(18)中,为可中断负荷的有功功率,Pwhλwh为风蓄联合运行的收益,Pi,t为火电机组i在t时段的出力;λG为火电上网单价,T表示1个调度周期,为24h;In formula (18), is the active power of the interruptible load, P wh λ wh is the income of the wind-storage joint operation, P i,t is the output of thermal power unit i in period t; λ G is the unit price of thermal power on the grid, T represents a dispatching cycle, which is 24h; 火电机组的燃料成本Cfuel的计算模型如式(19)所示:The calculation model of the fuel cost C fuel of thermal power units is shown in formula (19): 式(19)中,N表示火电机组的机组数量;ai、bi、ci为火电机组i的燃料成本系数;T表示1个调度周期,为24h;Pi,t为火电机组i在t时段的出力;为可中断负荷的有功功率;In formula (19), N represents the number of thermal power units; a i , b i , c i are the fuel cost coefficients of thermal power unit i; T represents a scheduling cycle, which is 24 hours; P i,t is the output of thermal power unit i in period t; is the active power of the interruptible load; 火电机组的环境成本Cenvir的计算模型如式(20)所示:The calculation model of the environmental cost C envir of thermal power units is shown in formula (20): 式(20)中,λenvir,c和λenvir,s分别表示火电机组发电产生的CO2和SO2的环境成本系数,αc,i、βc,i、γc,i表示火电机组i的CO2排放系数;αs,i、βs,i、γs,i表示火电机组i的SO2排放系数;Pi,t为火电机组i在t时段的出力;为可中断负荷的有功功率;ui,t为火电机组i在t时段的开停机状态,1表示开机,0表示停机;In formula (20), λ envir,c and λ envir,s represent the environmental cost coefficients of CO 2 and SO 2 generated by thermal power generation, respectively; α c,i , β c,i , γ c,i represent the CO 2 emission coefficient of thermal power unit i; α s,i , β s,i , γ s,i represent the SO 2 emission coefficient of thermal power unit i; P i,t is the output of thermal power unit i in period t; is the active power of the interruptible load; u i,t is the start and stop status of thermal power unit i in period t, 1 means start, 0 means stop; 旋转备用成本CR的计算模型如式(21)所示:The calculation model of spinning reserve cost CR is shown in formula (21): 式(21)中,N表示火电机组的机组数量;T表示1个调度周期,为24h;分别表示t时段系统的上、下旋转备用需求;λup和λdn分别表示上、下旋转备用需求成本系数;为可中断负荷的有功功率;In formula (21), N represents the number of thermal power units; T represents a scheduling cycle, which is 24 hours; and They represent the upper and lower spinning reserve demands of the system in period t respectively; λ up and λ dn represent the upper and lower spinning reserve demand cost coefficients respectively; is the active power of the interruptible load; 可中断负荷激励成本Cload的计算模型如式(22)所示:The calculation model of interruptible load incentive cost C load is shown in formula (22): 式(22)中,M表示可中断负荷节点数,为可中断负荷m在t时段的经济补偿;In formula (22), M represents the number of interruptible load nodes, is the economic compensation for the interruptible load m during period t; S3、将通过内层模型得到的风蓄联合运行出力代入外层模型,结合内层模型的约束条件和外层模型的约束条件,其中,基于步骤S13构建的风电预测误差分析模型,通过机会约束规划,将外层模型的上旋转备用约束和下旋转备用约束转变换为置信水平为α的确定性约束,利用粒子群算法对外层模型进行求解,获得满足系统旋转备用的各机组出力以及可中断负荷参与系统的调度计划。S3. Substitute the wind-storage joint operation output obtained by the inner model into the outer model, combine the constraints of the inner model and the outer model, wherein, based on the wind power prediction error analysis model constructed in step S13, the upper spinning reserve constraint and the lower spinning reserve constraint of the outer model are transformed into deterministic constraints with a confidence level of α through chance constraint planning, and the particle swarm algorithm is used to solve the outer model to obtain the output of each unit that meets the system spinning reserve and the scheduling plan of the interruptible load participating in the system. 2.根据权利要求1所述的可中断负荷的风蓄火联合调度方法,其特征在于,步骤S1中,风电出力的概率密度函数如式(1)所示:2. The wind-storage-fire combined dispatching method for interruptible loads according to claim 1 is characterized in that, in step S1, the probability density function of wind power output is as shown in formula (1): 式(1)中,p为按照Beta分布函数的随机变量,表示风电实际出力,α和β表示参数,B(α,β)表示Beta函数,Beta函数如式(2)所示:In formula (1), p is a random variable according to the Beta distribution function, which represents the actual wind power output, α and β represent parameters, and B(α, β) represents the Beta function. The Beta function is shown in formula (2): 上式(2)中的参数α和β和参数方差σ2和均值μ有关,α和β分别用式(3)和式(4)表示:The parameters α and β in the above formula (2) are related to the parameter variance σ 2 and the mean μ. α and β are expressed by formula (3) and formula (4) respectively: 3.根据权利要求1所述的可中断负荷的风蓄火联合调度方法,其特征在于,步骤S1中,风电预测误差分析模型包括如下两种情况:3. The wind-storage-fired joint dispatching method for interruptible loads according to claim 1 is characterized in that, in step S1, the wind power prediction error analysis model includes the following two cases: (1)某一置信水平下,预测风电功率大于实际风电功率,用概率的方法表述如式(5)所示:(1) At a certain confidence level, the predicted wind power is greater than the actual wind power, which can be expressed in terms of probability as shown in formula (5): (2)某一置信水平下,预测风电功率小于实际风电功率,用概率的方法表述如式(6)所示:(2) At a certain confidence level, the predicted wind power is less than the actual wind power, which can be expressed in terms of probability as shown in formula (6): 式(5)和式(6)中,a和b分别为风电预测误差在某一置信水平α下的概率区间估计的下限和上限,a和b与置信水平α的关系分别如式(7)和式(8)所示:In formula (5) and formula (6), a and b are the lower limit and upper limit of the probability interval estimation of wind power prediction error under a certain confidence level α, respectively. The relationship between a and b and the confidence level α is shown in formula (7) and formula (8), respectively: Fcdf(a)=(1-α)Fcdf(Pwn,t) (7)F cdf (a)=(1-α)F cdf (P wn,t ) (7) Fcdf(b)=α+(1-α)Fcdf(Pwn,t) (8)F cdf (b)=α+(1-α)F cdf (P wn,t ) (8) 式(7)和式(8)中,Fcdf(·)为累积概率分布,与概率密度函数的关系为 In equations (7) and (8), F cdf (·) is the cumulative probability distribution, and its relationship with the probability density function is: 其中,标幺化的风电输出功率的预测值Pwn和风电输出功率的实际值P的计算模型分别如式(9)和式(10)所示:Among them, the calculation models of the normalized wind power output prediction value P wn and the actual value P of wind power output power are shown in equations (9) and (10) respectively: 式(9)和式(10)中,Pwe为风电场装机规模的总容量,Pw和P分别为风电预测输出功率和实际输出功率的真实值。In equations (9) and (10), Pwe is the total capacity of the wind farm installed capacity, Pw and P are the true values of the predicted wind power output power and the actual output power, respectively. 4.根据权利要求1所述的可中断负荷的风蓄火联合调度方法,其特征在于,步骤S3中,内层模型的约束条件包括风蓄联合并网出力约束、上水库储能约束、抽蓄机组的功率约束、抽蓄机组的功率约束和风电机组预测功率约束。4. The wind-storage-fire joint scheduling method for interruptible loads according to claim 1 is characterized in that, in step S3, the constraints of the inner model include the wind-storage joint grid-connected output constraints, the upper reservoir energy storage constraints, the power constraints of the pumped storage units, the power constraints of the pumped storage units and the predicted power constraints of the wind turbine units. 5.根据权利要求1所述的可中断负荷的风蓄火联合调度方法,其特征在于,步骤S3中,外层模型的约束条件包括系统功率平衡约束、系统潮流约束、0线路传输功率约束、系统节点电压约束、火电机组的出力约束、火电机组爬坡约束和旋转备用约束。5. The wind-storage-fire combined scheduling method for interruptible loads according to claim 1 is characterized in that, in step S3, the constraints of the outer model include system power balance constraints, system flow constraints, 0-line transmission power constraints, system node voltage constraints, output constraints of thermal power units, thermal power unit climbing constraints and rotating standby constraints. 6.根据权利要求5所述的可中断负荷的风蓄火联合调度方法,其特征在于,所述旋转备用约束包括:6. The wind-storage-fired joint dispatching method for interruptible loads according to claim 5, characterized in that the spinning reserve constraints include: 基于机会约束规划的上旋转备用约束,如式(23)-式(25)所示:The upper spinning reserve constraint based on chance-constrained programming is shown in equations (23) to (25): 基于机会约束规划的下旋转备用约束,如式(26)-式(28)所示:The lower spinning reserve constraint based on chance-constrained programming is shown in equations (26) to (28): 式(23)-式(28)中,N表示火电机组的机组数量,分别为火电机组i在t时段提供的上、下旋转备用容量;都为t时段系统负荷的备用需求容量;分别为t时段抽蓄机组提供的上、下旋转备用;α为置信水平;T10为旋转备用响应时间;为可中断负荷的有功功率,p为标幺化后的风电实际输出功率,Pwh,t为t时段风蓄联合机组的并网出力,Pi max和Pi min分别为火电机组i出力的最大值和最小值,ri,up和ri,dn分别为机组i单位时间的向上爬坡功率和向下爬坡功率;Emax上水库的最小储能;ηg和ηp分别为抽蓄机组的发电效率和抽水效率,Et为t时段上水库储能,Pi,t为火电机组i在t时段的出力,Pp,t为抽水蓄能机组在t时段的抽水功率,为抽水蓄能机组的最大抽水功率。In formula (23) to formula (28), N represents the number of thermal power units, and are the upper and lower spinning reserve capacities provided by thermal power unit i in period t respectively; and All are the reserve demand capacity of the system load during period t; and are the upper and lower spinning reserves provided by the pumped storage unit during period t; α is the confidence level; T 10 is the spinning reserve response time; is the active power of the interruptible load, p is the normalized actual wind power output, P wh,t is the grid-connected output of the wind-storage combined unit in period t, P i max and P i min are the maximum and minimum output of thermal power unit i, ri,up and ri ,dn are the upward climbing power and downward climbing power of unit i per unit time, respectively; E max is the minimum energy storage of the upper reservoir; η g and η p are the power generation efficiency and pumping efficiency of the pumped storage unit, respectively, E t is the energy storage of the upper reservoir in period t, P i,t is the output of thermal power unit i in period t, P p,t is the pumping power of the pumped storage unit in period t, It is the maximum pumping power of the pumped storage unit. 7.一种用于可中断负荷的风蓄火联合调度的系统,其特征在于,所述系统包括处理器,所述处理器配置为执行权利要求1-6任一项所述的风蓄火联合调度方法。7. A system for wind-storage-fire combined scheduling of interruptible loads, characterized in that the system comprises a processor, and the processor is configured to execute the wind-storage-fire combined scheduling method according to any one of claims 1-6. 8.一种计算机可读存储介质,其特征在于,该存储介质存储有指令,该指令用于当被处理器执行时使所述处理器执行权利要求1-6任一项所述的风蓄火联合调度方法。8. A computer-readable storage medium, characterized in that the storage medium stores instructions, which are used to enable the processor to execute the wind-storage-fire combined scheduling method described in any one of claims 1-6 when executed by the processor.
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