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CN105279707B - A kind of random production analog method considering load and wind-powered electricity generation temporal characteristics - Google Patents

A kind of random production analog method considering load and wind-powered electricity generation temporal characteristics Download PDF

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CN105279707B
CN105279707B CN201510712610.9A CN201510712610A CN105279707B CN 105279707 B CN105279707 B CN 105279707B CN 201510712610 A CN201510712610 A CN 201510712610A CN 105279707 B CN105279707 B CN 105279707B
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丁明
林玉娟
韩平平
毕锐
张晶晶
陈锋
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China Electric Power Research Institute Co Ltd CEPRI
Hefei University of Technology
State Grid Anhui Electric Power Co Ltd
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Hefei University of Technology
State Grid Anhui Electric Power Co Ltd
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Abstract

本发明公开了一种综合考虑负荷与风电时序特性的随机生产模拟方法,其特征是:针对风电机组出力的时序间歇性和反调峰性、不可调度性,以及传统随机生产模拟多忽略负荷的时序特性,根据发电机组不同的运行模式提出了四种机组模型并进行随机生产模拟。本发明能快速、合理地研究风电时序特性和发电机组处于不同运行状态下各种运行因素对随机生产模拟的影响,从而能建立起更加全面的数学模型,提高计算效率。

The invention discloses a stochastic production simulation method that comprehensively considers load and wind power timing characteristics, and is characterized in that it is aimed at the timing intermittency, anti-peak regulation and non-schedulability of the output of wind turbines, and the fact that traditional stochastic production simulation mostly ignores load According to the timing characteristics, four unit models are proposed according to the different operation modes of the generating units, and the stochastic production simulation is carried out. The invention can quickly and reasonably study the influence of wind power timing characteristics and various operating factors on random production simulation under different operating states of the generator set, thereby establishing a more comprehensive mathematical model and improving calculation efficiency.

Description

一种综合考虑负荷与风电时序特性的随机生产模拟方法A Stochastic Production Simulation Method Considering Load and Wind Power Sequential Characteristics

技术领域technical field

本发明涉及电力系统随机生产模拟领域,具体地说是一种综合考虑负荷与风电时序特性的随机生产模拟方法。The invention relates to the field of stochastic production simulation of power systems, in particular to a stochastic production simulation method that comprehensively considers load and wind power timing characteristics.

背景技术Background technique

电力系统随机生产模拟是发电系统规划和运行优化的重要方法和工具。它是一种通过优化发电机组的生产情况,考虑到发电机组和电力负荷的随机性,来计算出最优运行方式下各个发电厂的发电量、电力系统的生产成本以及可靠性指标的算法,它常应用于电力系统电源规划、可靠性评估、机组组合和电力市场。目前电力系统随机生产模拟的方法主要有模拟法和解析法。模拟法模型简单、适应性强,但计算结果有明显的统计性质,计算效率不高。解析法是在一定的简化假设条件下,建立电力系统数学模型,具有清晰的物理概念,精确的数学模型,计算效率高,但传统模型考虑的因素较少,难以描述机组的各种运行状态。因此,建立能考虑多种运行因素的机组模型,对于研究多种运行因素的影响具有重要意义。Power system stochastic production simulation is an important method and tool for power system planning and operation optimization. It is an algorithm that calculates the power generation of each power plant, the production cost of the power system, and the reliability index of each power plant under the optimal operation mode by optimizing the production of the generating set and taking into account the randomness of the generating set and the electric load. It is often used in power system power planning, reliability assessment, unit combination and power market. At present, the methods of stochastic production simulation in power system mainly include simulation method and analytical method. The simulation model is simple and adaptable, but the calculation results have obvious statistical properties, and the calculation efficiency is not high. The analytical method is to establish a mathematical model of the power system under certain simplified assumptions. It has a clear physical concept, an accurate mathematical model, and high calculation efficiency. However, the traditional model considers fewer factors and is difficult to describe the various operating states of the unit. Therefore, it is of great significance to establish a unit model that can consider various operating factors for studying the influence of various operating factors.

含风电的电力系统随机生产模拟最重要的在于确定风电在负荷曲线上的最佳带负荷位置。目前,对风电的处理方式主要有以下两种:负值负荷模型和多状态机组模型。将风电机组等效为常规多状态机组模型能够表现出风电机组出力的概率性,但由于时间序列信息的丢失,难以准确描述风力发电反调峰特性的影响;将风电处理为负值负荷,直接在负荷上减去,对小规模风电并网具有一定可行性。随着风电规模的增加,建立大规模风电并网模型具有重要的意义。The most important thing in stochastic production simulation of power system including wind power is to determine the optimal load position of wind power on the load curve. At present, there are two main ways to deal with wind power: negative load model and multi-state unit model. Equivalenting wind turbines to conventional multi-state unit models can show the probability of wind turbine output, but due to the loss of time series information, it is difficult to accurately describe the impact of wind power generation anti-peaking characteristics; wind power is treated as a negative load, directly Subtracting from the load has certain feasibility for small-scale wind power grid connection. With the increase of wind power scale, it is of great significance to establish a large-scale wind power grid-connected model.

发明内容Contents of the invention

本发明是为避免上述现有技术所存在的不足之处,提供一种综合考虑负荷与风电时序特性的随机生产模拟方法,以期能快速、合理地研究风电时序特性和发电机组处于不同运行状态下各种运行因素对随机生产模拟的影响,从而能建立起更加全面的数学模型,提高计算效率。In order to avoid the shortcomings of the above-mentioned prior art, the present invention provides a stochastic production simulation method that comprehensively considers load and wind power timing characteristics, in order to quickly and reasonably study wind power timing characteristics and generating units in different operating states The impact of various operating factors on random production simulation can establish a more comprehensive mathematical model and improve calculation efficiency.

本发明为达到上述发明目的采用如下技术方案:The present invention adopts following technical scheme for reaching above-mentioned purpose of the invention:

本发明综合考虑负荷与风电时序特性的随机生产模拟方法,是应用于电力系统中,其特点是按如下步骤进行:The present invention comprehensively considers the stochastic production simulation method of load and wind power sequence characteristics, is applied in the power system, and is characterized in that it is carried out according to the following steps:

步骤1、获取研究周期T内电力系统的发电机组数据、风电资源数据和时序负荷数据,由所述时序负荷数据获得原始时序负荷曲线,并记为Load1;Step 1. Obtain the generator set data, wind power resource data and time-series load data of the power system in the research period T, and obtain the original time-series load curve from the time-series load data, and record it as Load1;

步骤2、建立四种机组模型,包括:基荷机组模型、启停调峰机组模型、压负荷调峰机组模型和两分段启停调峰机组模型;Step 2. Establish four unit models, including: base load unit model, start-stop peak-shaving unit model, pressure load peak-shaving unit model, and two-stage start-stop peak-shaving unit model;

步骤3、由所述发电机组数据和时序负荷数据,初步修正所述原始时序负荷曲线Load1,获得初步修正时序负荷曲线,记为Load2;Step 3. Preliminarily correct the original time-series load curve Load1 from the generator set data and time-series load data to obtain a preliminary corrected time-series load curve, which is denoted as Load2;

步骤4、设定风电修正负荷次数为n,并初始化n=1;Step 4. Set the wind power correction load times as n, and initialize n=1;

步骤5、由所述发电机组数据获得供热机组强迫出力,根据所述风电资源数据和供热机组强迫出力,修正所述初步修正时序负荷曲线Load2,获得第n次风电接纳量Wn和第n次时序净负荷曲线Load3nStep 5. Obtain the forced output of the heating unit from the data of the generating set, and modify the preliminary correction time-series load curve Load2 according to the wind power resource data and the forced output of the heating unit to obtain the nth wind power acceptance W n and the N time sequence net load curve Load3 n ;

步骤6、将所述第n次时序净负荷曲线Load3n转化为第n次等效持续负荷曲线,并求取所述第n次等效持续负荷曲线上,负荷值为X处的初始累积概率P0,n(X)、初始累积频率F0,n(X)、初始电量不足期望值EENS0,n(X)和初始最大增长速率 Step 6, converting the nth time series net load curve Load3 n into the nth equivalent continuous load curve, and calculating the initial cumulative probability at the load value X on the nth equivalent continuous load curve P 0,n (X), initial accumulative frequency F 0,n (X), initial low battery expected value EENS 0,n (X) and initial maximum growth rate

步骤7、根据所述电力系统的运行需求确定所述电力系统的初始旋转备用容量和初始爬坡容量值 Step 7. Determine the initial spinning reserve capacity of the power system according to the operating requirements of the power system and the initial ramp capacity value

步骤8、由所述发电机组数据获得总投运次数I;设定投运机组次数为i,并初始化i=1;Step 8. Obtain the total number of times I is put into operation from the data of the generating set; set the number of times of putting into operation as i, and initialize i=1;

步骤9、根据电力系统的约束条件,以最低发电成本为目标,判断是否需要重新修正风电,若需要,则将n+1赋值给n,并返回步骤5执行,若不需要,则确定第i次投运的发电机组号;Step 9. According to the constraints of the power system and aiming at the lowest power generation cost, judge whether it is necessary to re-correct the wind power. If necessary, assign n+1 to n and return to step 5 for execution. If not, determine the i-th The generator set number put into operation for the second time;

步骤10、根据所述第i次投运的发电机组类型及带基荷的状况,确定第i次投运的发电机组所属的机组模型;Step 10, according to the type of the generator set put into operation for the ith time and the condition of the base load, determine the unit model to which the generator set put into operation for the ith time belongs;

当i=1时,由所述初始累积概率P0,n(X)和所述初始累积频率F0,n(X)获得第i次投运发电机组时所述电力系统需要机组投运的转移率和不需要机组投运的转移率 When i=1, from the initial cumulative probability P 0,n (X) and the initial cumulative frequency F 0,n (X) to obtain the i-th commissioning generator set, the power system needs the generating set to be put into operation transfer rate and transfer rates that do not require unit commissioning

当i≠1时,由第i-1次投运发电机组后的累积概率Pi-1,n(X)和第i-1次累计频率Fi-1,n(X)获得第i次投运发电机组时所述电力系统需要机组投运的转移率和不需要机组投运的转移率 When i≠1, the i-th cumulative probability P i-1,n (X) and the i-1 cumulative frequency F i-1,n (X) after the i-1th generator set is put into operation can be used to obtain the i-th When the generator set is put into operation, the power system requires the transfer rate of the generator set to be put into operation and transfer rates that do not require unit commissioning

步骤11、根据所述第i次投运的发电机组号,修正获得第i次投运发电机组后所述电力系统的旋转备用容量和爬坡容量 Step 11. Correct and obtain the spinning reserve capacity of the power system after the ith generator set is put into operation according to the number of the generator set put into operation for the ith time and climbing capacity

步骤12、将所述第i次投运的发电机组所属的机组模型转化为等效两状态机组模型或等效三状态机组模型;Step 12, converting the unit model to which the generating unit put into operation for the ith time belongs to an equivalent two-state unit model or an equivalent three-state unit model;

步骤13、将所述等效两状态机组模型或等效三状态机组模型进行随机生产模拟,获得第i次投运发电机组后的累积概率Pi,n(X)、累积频率Fi,n(X)、电量不足期望值EENSi,n(X)和最大增长速率 Step 13. Perform stochastic production simulation on the equivalent two-state unit model or equivalent three-state unit model, and obtain the cumulative probability P i,n (X) and cumulative frequency F i,n of the generator set put into operation for the ith time. (X), the expected value of insufficient power EENS i,n (X) and the maximum growth rate

步骤14、累计第i次投运发电机后的总投运容量,并判断i<I是否成立;若成立,则将i+1赋值给i;并返回步骤9;否则,表示完成随机生产模拟。Step 14. Accumulate the total operating capacity of the generator after the i-th operation, and judge whether i<I is true; if it is true, assign i+1 to i; and return to step 9; otherwise, it means that the random production simulation is completed .

本发明综合考虑负荷与风电时序特性的随机生产模拟方法的特点也在于:The stochastic production simulation method of the present invention, which comprehensively considers load and wind power sequence characteristics, is also characterized by:

步骤1中所述发电机组包括火电发电机组、水电发电机组和核电发电机组;所述发电机组数据包括机组的类型、台数、容量、出力上下限、平均无故障时间MTTF、平均修复时间MTTR以及耗量微增率;所述风电资源数据包括风电机组出力及其对应的时段;所述时序负荷数据为按时间顺序排列的逐小时负荷。The generating sets described in step 1 include thermal power generating sets, hydroelectric generating sets and nuclear power generating sets; the generating set data includes the type, number, capacity, upper and lower limits of output, mean time between failures (MTTF), mean time to repair (MTTR) and consumption The amount of slight increase rate; the wind power resource data includes the output of wind turbines and the corresponding time period; the time series load data is the hourly load arranged in chronological order.

步骤2中是根据随机生产模拟过程中机组的不同运行状态、带基荷的状况以及分段机组容量来建立四种机组模型;In step 2, four unit models are established according to the different operating states of the unit during the stochastic production simulation process, the condition with base load and the capacity of the segmented unit;

所述基荷机组模型:表示一台以额定容量在基荷运行的不分段连续运行机组;The base load unit model: represents a non-segmented continuous operation unit operating at the base load with rated capacity;

所述启停调峰机组模型:表示一台以额定容量在基荷以上做调峰运行的不分段间歇运行机组;The start-stop peak-shaving unit model: represents a non-segmented intermittent operation unit whose rated capacity is above the base load for peak-shaving operation;

所述压负荷调峰机组模型:表示一台第一分段以最小技术出力在基荷运行,第二分段在基荷以上做调峰运行的分段连续运行机组;The model of the pressure load peak-shaving unit: represents a segmented continuous operation unit in which the first segment operates at the base load with the minimum technical output, and the second segment performs peak-shaving operation above the base load;

所述两分段启停调峰机组模型:表示一台两个分段均在基荷以上做调峰运行的分段间歇运行机组。The two-segment start-stop peak-shaving unit model: represents a segmented intermittent operation unit whose two segments are both above the base load for peak-shaving operation.

步骤5中所述第n次风电接纳量Wn按如下步骤获得:The nth wind power acceptance W n mentioned in step 5 is obtained according to the following steps:

步骤a、设定变量t,并初始化t=1;将初步修正时序负荷曲线Load2在t时刻的负荷值记为Load2t;Step a, set the variable t, and initialize t=1; record the load value of the preliminary corrected time series load curve Load2 at time t as Load2t;

步骤b、判断n=1是否成立,若成立,则转步骤c;否则,转步骤d;Step b, judging whether n=1 is established, if established, then go to step c; otherwise, go to step d;

步骤c、判断t时刻是否满足:Load2t-强迫出力>=风电机组发电量;Step c, judging whether time t is satisfied: Load2t-forced output >= wind turbine generating capacity;

若满足,则令t时刻的风电接纳量=风电机组发电量;否则,令t时刻风电接纳量=Load2t-强迫出力;转步骤f;If it is satisfied, then let the wind power acceptance at time t=the power generation of wind turbines; otherwise, let the wind power acceptance at time t=Load2t-forced output; go to step f;

步骤d、以λ为弃风比率;判断t时刻是否满足:Load2t-(强迫出力+λ×风电装机容量×n)>=风电机组发电量;Step d, taking λ as the wind abandonment ratio; judging whether the time t is satisfied: Load2t-(forced output+λ×wind power installed capacity×n)>=wind turbine generating capacity;

若满足,则令t时刻风电接纳量=风电机组发电量;否则,转步骤e;If it is satisfied, set the wind power acceptance amount at time t = wind power generating capacity; otherwise, go to step e;

步骤e、判断Load2t-(强迫出力+λ×风电装机容量×n)>0是否成立,若成立,则令t时刻风电接纳量=Load2t-(强迫出力+λ×风电装机容量×n);否则,令t时刻风电接纳量=风电机组发电量;Step e. Determine whether Load2t-(forced output+λ×wind power installed capacity×n)>0 is true, and if it is true, then set wind power acceptance at time t=Load2t-(forced output+λ×wind power installed capacity×n); otherwise , so that wind power acceptance at time t = wind power generating capacity;

步骤f、判断t=T是否成立,若成立,则表示获得第n次风电接纳量Wn;否则,将t+1赋值给t,并返回步骤b。Step f, judging whether t=T is true, if true, it means that the nth wind power acceptance amount W n is obtained; otherwise, assign t+1 to t, and return to step b.

步骤9中是按如下步骤判断是否需要重新修正风电:Step 9 is to judge whether it is necessary to re-correct the wind power according to the following steps:

步骤(1)、判断i>1且第i次投运发电机后的总投运容量大于所述电力系统的最大负荷是否成立,若成立,则选择耗量微增率最小的机组或机组分段进行投运,并转步骤(7);否则,转步骤(2);Step (1), judging whether i>1 and the total operating capacity after the i-th putting into operation of the generator is greater than the maximum load of the power system is true, if true, select the unit or unit group with the smallest consumption micro-increase rate put into operation, and go to step (7); otherwise, go to step (2);

步骤(2)、判断所有未投运的机组中是否还有强迫出力机组或机组分段,若有,则选取耗量微增率最小的强迫出力机组或机组分段进行投运,并转步骤(7);否则,转步骤(3);Step (2), judging whether there are forced output units or unit segments among all the units that have not been put into operation, if so, select the forced output unit or unit segment with the smallest consumption micro-increase rate to put into operation, and go to step (7); Otherwise, go to step (3);

步骤(3)、判断是否满足所述电力系统的旋转备用约束和爬坡约束条件,若满足,则转步骤(5);否则,转步骤(4);Step (3), judging whether the spinning reserve constraint and the climbing constraint condition of the power system are satisfied, if satisfied, then go to step (5); otherwise, go to step (4);

步骤(4)、判断所有未投运的机组中是否存在分段机组的第一分段,若存在,则选取耗量微增率最小的第一分段进行投运,并转步骤(7);否则,表示需要重新修正风电;Step (4), judging whether there is the first section of the sectioned unit among all the units not put into operation, if it exists, select the first section with the smallest consumption micro-increase rate to put into operation, and go to step (7) ; Otherwise, it means that wind power needs to be re-corrected;

步骤(5)、查找所有未投运的机组中耗量微增率最小的机组或机组分段,判断该机组或机组分段是否为分段机组的第二分段;若是,则转步骤(6);否则,转步骤(7);Step (5), find the unit or unit segment with the smallest consumption micro-increase rate among all the units not put into operation, and judge whether the unit or unit segment is the second subsection of the segmented unit; if so, go to step ( 6); otherwise, go to step (7);

步骤(6)、对所述电力系统的旋转备用容量和爬坡容量进行预修正,并判断是否满足预修正后的旋转备用约束和爬坡约束条件,若满足,则投入分段机组的第二分段,并转步骤(7);否则,则在排除最小比耗量机组为分段机组的第二分段的情况下,转步骤(5);Step (6), pre-correcting the spinning reserve capacity and ramping capacity of the power system, and judging whether the pre-corrected spinning reserve constraint and ramping constraint conditions are satisfied, and if so, put into the second Segmentation, and go to step (7); otherwise, turn to step (5) under the condition that the minimum specific consumption unit is the second subsection of the subsection unit;

步骤(7)、表示不需要重新修正风电。Step (7), indicating that wind power does not need to be re-corrected.

步骤9中所述电力系统的约束条件包括如式(1)和式(2)所示的旋转备用约束和爬坡约束的:The constraints of the power system described in step 9 include the spinning reserve constraints and ramp constraints shown in equations (1) and (2):

式(1)和式(2)中:表示第i次投运发电机组后所述电力系统的旋转备用容量;SPR0为系统的旋转备用容量需求;表示第i次投运发电机组后所述电力系统的增荷容量;t0为要求旋转备用容量投入的时间;为事故旋转备用容量需求;为负荷增长旋转备用容量需求;Xi为第i次投运的发电机组在等效持续负荷曲线上的投运点;表示第i次投运的发电机组在投运点Xi处最大增荷速率;Δt表示爬坡时间。In formula (1) and formula (2): Indicates the spinning reserve capacity of the power system after the generator set is put into operation for the ith time; SPR 0 is the spinning reserve capacity demand of the system; Indicates the load-increasing capacity of the power system after the generator set is put into operation for the ith time; t 0 is the time required to put in the spinning reserve capacity; Rotate reserve capacity requirements for incidents; is the demand for load growth spinning reserve capacity; X i is the operating point of the generator set put into operation for the ith time on the equivalent continuous load curve; Indicates the maximum load-increasing rate of the generator set put into operation for the ith time at the point Xi; Δt represents the ramp-up time.

步骤10中,所述需要机组投运的转移率和不需要机组投运的转移率按利用式(3)和式(4)进行计算:In step 10, the transfer rate of the unit that needs to be put into operation and transfer rates that do not require unit commissioning Calculate according to formula (3) and formula (4):

式(3)和式(4)中:Fi-1,n(Xi)表示第i-1次投运发电机组后负荷值X=Xi处的累积概率;Pi-1,n(Xi)表示第i-1次投运发电机组后负荷值X=Xi处的累积频率。In formula (3) and formula (4): F i-1,n (X i ) represents the cumulative probability of load value X=X i after the i-1th generator set is put into operation; P i-1,n ( X i ) represents the cumulative frequency at the load value X=X i after the generator set is put into operation for the i-1th time.

步骤11中,按如下情况修正所述旋转备用容量和爬坡容量 In step 11, modify the spinning reserve capacity as follows and climbing capacity

(a)如果第i次投运的发电机组为分段机组的第一分段,其容量为Cd i,则利用式(5)和式(6)进行修正:(a) If the generating unit put into operation for the i-th time is the first section of the segmented unit, and its capacity is C d i , then use formula (5) and formula (6) to make corrections:

(b)如果第i次投运的发电机组为分段机组的第二分段,其容量为Xd i,则利用式(7)和式(8)进行修正:(b) If the generating unit put into operation for the i-th time is the second section of the subsection unit, and its capacity is X d i , then use formula (7) and formula (8) to make corrections:

(c)如果第i次投运的发电机组为不分段机组,则利用式(9)和式(10)进行修正:(c) If the generator set put into operation for the i-th time is a non-segmented unit, use formula (9) and formula (10) to make corrections:

式(5)-式(10)中,Ce i表示第i次投运的发电机组的额定容量;表示第i-1次投运发电机组后电力系统的旋转备用容量;表示第i-1次投运发电机组后系统的爬坡容量。In formula (5) - formula (10), C e i represents the rated capacity of the generator set put into operation for the ith time; Indicates the spinning reserve capacity of the power system after the generator set is put into operation for the i-1th time; Indicates the climbing capacity of the system after the i-1th generator set is put into operation.

步骤13中所述的累积概率Pi,n(X)、累积频率Fi,n(X)、电量不足期望值EENSi,n(X)和最大增长速率是按如下情况获得:Cumulative probability P i,n (X), cumulative frequency F i,n (X), expected battery deficit EENS i,n (X) and maximum growth rate as described in step 13 is obtained as follows:

1)若第i次投运的发电机组为不分段机组或分段机组的第一分段,则利用式(12)、式(13)和式(14)获得累积概率Pi,n(X)、累积频率Fi,n(X)和电量不足期望值EENSi,n(X):1) If the generating unit put into operation for the i-th time is a non-segmented unit or the first segment of a segmented unit, the cumulative probability P i,n ( X), cumulative frequency F i,n (X) and expected value of insufficient power EENS i,n (X):

Pi,n(X)=Pi-1,n(X)·(1-FORi)+Pi-1,n(X-Ci)·FORi (12)P i,n (X)=P i-1,n (X)·(1-FOR i )+P i-1,n (XC i )·FOR i (12)

Fi,n(X)=Fi-1,n(X)·(1-FORi)+Fi-1,n(X-Ci)·FORi+ue i·FORi·[Pi-1,n(X-Ci)-Pi-1,n(X)] (13)F i,n (X)=F i-1,n (X)·(1-FOR i )+F i-1,n (XC i )·FOR i +u e i ·FOR i ·[P i- 1,n (XC i )-P i-1,n (X)] (13)

EENSi,n(X)=EENSi-1,n(X)·(1-FORi)+EENSi-1,n(X-Ci)·FORi (14)EENS i,n (X)=EENS i-1,n (X)·(1-FOR i )+EENS i-1,n (XC i )·FOR i (14)

式(12)、式(13)和式(14)中:X表示所述等效持续负荷曲线上的负荷值;Pi,n(X)、Fi,n(X)和EENSi,n(X)分别表示第i次机组投运后等效持续负荷曲线上负荷值为X处的累积概率、累积频率和电量不足期望值;Pi-1,n(X)、Fi-1,n(X)和EENSi-1,n(X)分别表示第i-1次机组投运后等效持续负荷曲线上负荷值为X处的累积概率、累积频率和电量不足期望值;FORi表示第i次投运的发电机组的等效两状态机组出力为零的概率;ue i表示所述等效两状态机组的等效修复率;Ci表示第i次投运的发电机组或机组分段的容量,若第i次投运的发电机组为不分段机组,则Ci=Ce i,若第i次投运的发电机组为分段机组的第一分段,则Ci=Cd iIn formula (12), formula (13) and formula (14): X represents the load value on the equivalent continuous load curve; P i,n (X), F i,n (X) and EENS i,n (X) respectively represent the cumulative probability, cumulative frequency and expected value of insufficient electricity on the equivalent continuous load curve of the i-th unit after it is put into operation; P i-1,n (X), F i-1,n (X) and EENS i -1,n (X) represent the cumulative probability, cumulative frequency, and expected value of electricity shortage on the equivalent continuous load curve of the i-1 unit after it is put into operation, respectively; The probability that the output of the equivalent two-state unit of the generator set put into operation for the i time is zero; u e i represents the equivalent repair rate of the equivalent two-state unit; C i represents the generator set or unit group put into operation for the i time The capacity of the segment, if the generator set put into operation for the i-th time is a non-segmented unit, then C i =C e i , if the generator set put into operation for the i-th time is the first segment of a segmented unit, then C i = C d i .

若第i次投运的发电机组为分段机组的第二分段,则利用式(15)、式(16)和式(17)进行反卷积运算,获得反卷积运算后的累积概率P1 i(X)、累积频率F1 i(X)和电量不足期望值EENS1 i(X):再利用式(18)、式(19)和式(20),获得累积概率Pi,n(X)、累积频率Fi,n(X)和电量不足期望值EENSi,n(X):If the generator set put into operation for the i-th time is the second segment of the segmented unit, use formula (15), formula (16) and formula (17) to perform deconvolution operation to obtain the cumulative probability after deconvolution operation P 1 i (X), cumulative frequency F 1 i (X) and expected value of battery shortage EENS 1 i (X): Reuse formula (18), formula (19) and formula (20) to obtain cumulative probability P i,n (X), cumulative frequency F i,n (X) and expected value of insufficient power EENS i,n (X):

P1 i(X)=[Pi-1,n(X)-P1 i(X-Cd i)·FORi]/(1-FORi) (15)P 1 i (X)=[P i-1,n (X)-P 1 i (XC d i )·FOR i ]/(1-FOR i ) (15)

F1 i(X)=[Fi-1.n(X)-F1 i(X-Cd i)·FORi-ue i·FORi·(P1 i(X-Cd i)-P1 i(X))]/(1-FORi) (16)F 1 i (X)=[F i-1.n (X)-F 1 i (XC d i )·FOR i -u e i ·FOR i ·(P 1 i (XC d i )-P 1 i (X))]/(1-FOR i ) (16)

EENS1 i(X)=[EENSi-1,n(X)-EENS1 i(X-Cd i)]/(1-FORi) (17)EENS 1 i (X)=[EENS i-1,n (X)-EENS 1 i (XC d i )]/(1-FOR i ) (17)

Pi,n(X)=P1 i(X)·AVi+P1 i(X-Xd i)·DFORi+P1 i(X-Ce i)·FORi (18)P i,n (X)=P 1 i (X)·AV i +P 1 i (XX d i )·DFOR i +P 1 i (XC e i )·FOR i (18)

Fi,n(X)=F1 i(X)·AVi+F1 i(X-Xd i)·DFORi+F1 i(X-Ce i)·FORi+AVi·λT i·[P1 i(X-Ce i)-P1 i(X)]+AVi·ρ- i,n·[P1 i(X-Xd i)-P1 i(X)]+DFORi·λD i·[P1 i(X-Ce i)-P1 i(X-Xd i)]F i,n (X)=F 1 i (X)·AV i +F 1 i (XX d i )·DFOR i +F 1 i (XC e i )·FOR i +AV i ·λ T i ·[ P 1 i (XC e i )-P 1 i (X)]+AV i ·ρ - i,n ·[P 1 i (XX d i )-P 1 i (X)]+DFOR i ·λ D i ·[P 1 i (XC e i )-P 1 i (XX d i )]

(19) (19)

EENSi,n(X)=EENS1 i(X)·AVi+EENS1 i(X-Xd i)·DFORi+EENS1 i(X-Ce i)·FORi (20)EENS i,n (X)=EENS 1 i (X) AV i +EENS 1 i (XX d i ) DFOR i +EENS 1 i (XC e i ) FOR i (20)

式(15)—式(20)中:AVi,DFORi,FORi分别表示所述等效三状态机组额定出力概率、降额出力概率和零出力概率;λT i和λD i分别表示所述等效三状态机组中额定状态和降额状态的强迫停运率,P1 i(X),F1 i(X),EENS1 i(X)分别表示将一段反卷积后等效持续负荷曲线上负荷值为X处的累积概率、累积频率和电量不足期望值。In formula (15) - formula (20): AV i , DFOR i , FOR i respectively represent the rated output probability, derated output probability and zero output probability of the equivalent three-state unit; λ T i and λ D i represent The forced outage rates of the rated state and the derated state in the equivalent three-state unit, P 1 i (X), F 1 i (X), and EENS 1 i (X) represent the equivalent Cumulative probability, cumulative frequency and expected value of power shortage at the load value X on the continuous load curve.

与已有技术相比,本发明有益效果体现在:Compared with the prior art, the beneficial effects of the present invention are reflected in:

1、本发明通过建立一种综合考虑负荷与风电时序特性的随机生产模拟方法,充分考虑了风电的时序特性和机组处在不同运行状态下各种运行因素对随机生产模拟的影响,是一种高效、全面的电力系统随机生产模拟的方法。与传统随机生产模拟机组模型不同,本发明根据投运机组类型及带负荷位置确定机组模型,同一机组模型因带负荷位置不同而改变,有效反映出所有机组的运行情况;另外,本发明可有效考虑系统备用和爬坡约束,以及机组最小开停机限制、启动失败和爬坡时间约束等因素的影响,提高了计算速度,具有重要的工程应用价值。1. By establishing a stochastic production simulation method that comprehensively considers load and wind power timing characteristics, the present invention fully considers the influence of wind power timing characteristics and various operating factors on stochastic production simulation under different operating states of the unit. A method for efficient and comprehensive stochastic production simulation of power systems. Different from the traditional random production simulation unit model, the present invention determines the unit model according to the type of unit in operation and the load position, and the same unit model changes due to different load positions, effectively reflecting the operation conditions of all units; in addition, the present invention can effectively Considering the system backup and ramp constraints, as well as the influence of factors such as unit minimum start and stop restrictions, startup failure, and ramp time constraints, the calculation speed is improved, which has important engineering application value.

2、本发明采用时序负荷曲线,并提取时序负荷的相关信息,可有效反映负荷时序改变对整个随机生产模拟过程的影响。2. The present invention adopts the time series load curve and extracts the relevant information of the time series load, which can effectively reflect the influence of the load time series change on the entire stochastic production simulation process.

3、本发明根据随机生产模拟过程中机组的不同运行状态(如降额、间歇、连续)、带负荷位置(是否带基荷)及分段机组,建立了四种多状态机组模型,可考虑机组启动失败率、最小开停机时间限制和爬坡速率限制,充分考虑了机组自身结构和各种运行因素的影响,提高了解析法数学模型的合理性。3. The present invention establishes four kinds of multi-state unit models according to the different operating states (such as derating, intermittent, continuous) of the unit in the stochastic production simulation process, the load position (whether with base load) and the sub-unit units, which can be considered The start-up failure rate of the unit, the minimum start-stop time limit and the ramp rate limit fully consider the influence of the unit's own structure and various operating factors, and improve the rationality of the mathematical model of the analytical method.

4、本发明重点考虑机组发电时段中出现强迫停运的概率,采用系统需要机组投入的情况下机组故障的条件强迫停运率CFOR进行卷积运算,其中条件强迫停运率CFOR不仅与已投运机组的停运特性有关,也与负荷频率转移特性有关,因此动态计算条件强迫停运率CFOR,能有效去除在系统不需要机组投运时故障对卷积计算的影响。4. The present invention focuses on the probability of forced outage during the power generation period of the unit, and uses the conditional forced outage rate CFOR of the unit failure under the condition that the system needs the unit to be put into operation to carry out the convolution operation, wherein the conditional forced outage rate CFOR is not only related to the already put into operation The outage characteristics of the operating units are also related to the load frequency transfer characteristics. Therefore, the dynamic calculation of the conditional forced outage rate CFOR can effectively remove the influence of faults on the convolution calculation when the system does not require the units to be put into operation.

5、本发明着重考虑风电的反调峰性和不可调度性,提出了大规模风电并网时谷荷比例弃风的方法,充分保留了风电出力的时序特性。5. The present invention focuses on anti-peak regulation and non-schedulability of wind power, and proposes a method of curtailing wind power in proportion to valley load when large-scale wind power is connected to the grid, fully retaining the timing characteristics of wind power output.

6、本发明提供了系统的旋转备用和爬坡约束条件,并在每次投运机组或机组分段后进行校验,保证了旋转备用和爬坡约束能时刻满足,提高了系统的可靠性。6. The present invention provides the system's spinning reserve and climbing constraint conditions, and checks each time the unit or unit is put into operation, ensuring that the spinning reserve and climbing constraints can be met at all times, improving the reliability of the system .

7、本发明将四种多状态机组模型转化为等效两状态机组模型和等效三状态机组模型,简化了机组模型的卷积运算,提高了计算效率。7. The present invention converts the four multi-state unit models into an equivalent two-state unit model and an equivalent three-state unit model, which simplifies the convolution operation of the unit model and improves calculation efficiency.

附图说明Description of drawings

图1为本发明中综合考虑负荷与风电时序特性的随机生产模拟方法建模流程图;Fig. 1 is the modeling flow chart of stochastic production simulation method comprehensively considering load and wind power timing characteristics in the present invention;

图2为本发明中基荷机组的两状态机组模型(模型1)状态空间图;Fig. 2 is a two-state unit model (model 1) state space diagram of the base load unit in the present invention;

图3为本发明中启停调峰机组模型的五状态机组模型(模型2)状态空间图;Fig. 3 is a five-state unit model (model 2) state space diagram of the start-stop peak-shaving unit model in the present invention;

图4为本发明中压负荷调峰机组模型的四状态机组模型(模型3)状态空间图;Fig. 4 is the state space diagram of the four-state unit model (model 3) of the medium pressure load peaking unit model of the present invention;

图5为本发明中两分段启停调峰机组模型七状态机组模型(模型4)状态空间图;Fig. 5 is a seven-state unit model (model 4) state space diagram of two-stage start-stop peak-shaving unit model among the present invention;

图6为本发明中库容式水电削峰逐次切负荷方法示意图;Fig. 6 is a schematic diagram of the load-shaving method of storage capacity hydropower peak-shaving successively in the present invention;

图7为本发明中等效持续负荷曲线图;Fig. 7 is equivalent continuous load curve figure among the present invention;

图8为本发明中风电谷荷弃风示意图;Fig. 8 is a schematic diagram of wind power abandonment in valley load in the present invention;

图9为本发明中等效两状态机组模型状态空间图;Fig. 9 is a state space diagram of an equivalent two-state unit model in the present invention;

图10为本发明中等效三状态机组模型状态空间图。Fig. 10 is a state space diagram of an equivalent three-state unit model in the present invention.

具体实施方式Detailed ways

如图1所示,本实施例中,综合考虑负荷与风电时序特性的随机生产模拟方法按如下步骤进行:As shown in Figure 1, in this embodiment, the stochastic production simulation method that comprehensively considers the load and the timing characteristics of wind power is carried out as follows:

步骤1、获取研究周期T内电力系统的发电机组数据、风电资源数据和时序负荷数据,由时序负荷数据获得原始时序负荷曲线,并记为Load1;Step 1. Obtain the generator set data, wind power resource data and time-series load data of the power system in the research period T, and obtain the original time-series load curve from the time-series load data, which is recorded as Load1;

步骤1中的发电机组包括火电发电机组、水电发电机组和核电发电机组;发电机组数据包括机组的类型(分段情况)、台数、容量、出力上下限、平均无故障时间MTTF、平均修复时间MTTR以及耗量微增率;风电资源数据包括风电机组出力及其对应的时段;时序负荷数据为按时间顺序排列的逐小时负荷。所有含时间信息的数值计算时需要保证单位统一(如可统一以小时为单位)。The generating sets in step 1 include thermal power generating sets, hydroelectric generating sets and nuclear power generating sets; generating set data includes the type of generating sets (segmentation), number, capacity, upper and lower limits of output, mean time between failures MTTF, mean time to repair MTTR And the slight increase rate of consumption; the wind power resource data includes the output of wind turbines and the corresponding time period; the time series load data is the hourly load arranged in chronological order. When calculating all numerical values containing time information, it is necessary to ensure that the unit is unified (for example, the unit of hour can be unified).

步骤2、建立四种机组模型,包括:基荷机组模型、启停调峰机组模型、压负荷调峰机组模型和两分段启停调峰机组模型;Step 2. Establish four unit models, including: base load unit model, start-stop peak-shaving unit model, pressure load peak-shaving unit model, and two-stage start-stop peak-shaving unit model;

步骤2是根据随机生产模拟过程中机组的不同运行状态(如降额、间歇、连续)、带基荷的状况(是否带基荷)以及分段机组容量(假设分段机组第一分段容量等于降额状态出力)来建立四种机组模型;Step 2 is based on the different operating states of the unit during the stochastic production simulation process (such as derating, intermittent, continuous), the condition with base load (whether with base load) and the capacity of the segmented unit (assuming that the capacity of the first segment of the segmented unit is equal to derating state output) to establish four unit models;

基荷机组模型(两状态模型)如图2所示:表示一台以额定容量在基荷运行的不分段连续运行机组;其停运概率与传统生产模拟的模型无异,可直接采用强迫停运率FOR(即机组零状态概率)计算。The base load unit model (two-state model) is shown in Figure 2: it represents a non-segmented continuous operation unit operating at the base load with rated capacity; its outage probability is the same as that of the traditional production simulation model, and the forced Calculation of the outage rate FOR (that is, the zero state probability of the unit).

启停调峰机组模型(五状态模型)如图3所示:表示一台以额定容量在基荷以上做调峰运行的不分段间歇运行机组;需转化为等效两状态机组模型进行计算。The start-stop peak-shaving unit model (five-state model) is shown in Figure 3: it represents a non-segmented intermittent operation unit whose rated capacity is above the base load for peak-shaving operation; it needs to be converted into an equivalent two-state unit model for calculation .

压负荷调峰机组模型(四状态模型)如图4所示:表示一台第一分段以最小技术出力在基荷运行,第二分段在基荷以上做调峰运行的分段连续运行机组;在系统需要机组投运的情况下,需转化为等效三状态机组模型进行计算。The model of the pressure load peak-shaving unit (four-state model) is shown in Figure 4: it means that the first segment operates at the base load with the minimum technical output, and the second segment performs peak-shaving operation above the base load for segmental continuous operation Unit; when the system requires the unit to be put into operation, it needs to be transformed into an equivalent three-state unit model for calculation.

两分段启停调峰机组模型(七状态模型)如图5所示:表示一台两个分段均在基荷以上做调峰运行的分段间歇运行机组。同样需转化为等效三状态机组模型进行计算。The two-stage start-stop peak-shaving unit model (seven-state model) is shown in Figure 5: it represents a segmented intermittent operation unit whose two segments are both above the base load for peak-shaving operation. It also needs to be transformed into an equivalent three-state unit model for calculation.

步骤3、由发电机组数据和时序负荷数据,初步修正原始时序负荷曲线Load1,获得初步修正时序负荷曲线,记为Load2;Step 3. Preliminarily correct the original time-series load curve Load1 based on the generator set data and time-series load data, and obtain the preliminary corrected time-series load curve, which is denoted as Load2;

步骤3中的初步修正原始时序负荷曲线Load1主要为:以时间顺序排列的逐小时负荷数据,先按负的负荷模型处理承担基荷的核电和径流水电;针对水电比重较小的系统,再按逐次切负荷方法,安排库容式水电进行削峰,降低负荷曲线的峰谷差;若水电所占比重较大,则将库容式水电机组在负荷曲线上寻求最佳工作位置并进行卷积运算。The preliminary correction of the original time-series load curve Load1 in step 3 is mainly: the hourly load data arranged in chronological order, and the nuclear power and runoff hydropower that bear the base load are first processed according to the negative load model; for the system with a small proportion of hydropower, then press Sequential load shedding method arranges storage capacity hydropower for peak shaving to reduce the peak-valley difference of the load curve; if hydropower accounts for a large proportion, the storage capacity hydropower unit seeks the best working position on the load curve and performs convolution operation.

逐次切负荷法:根据日负荷图得到最大负荷;用最大负荷减去该机组最大允许出力以定出该机组最初工作位置;如图6所示,对于该机组如果阴影部分的面积大于给定值,则抬高工作位置;反之则降低工作位置。让工作位置以上的负荷都由该机组带,并将大于该机组最大允许出力时段的出力取其最大允许出力值。Successive load shedding method: get the maximum load according to the daily load diagram; subtract the maximum allowable output of the unit from the maximum load to determine the initial working position of the unit; as shown in Figure 6, if the area of the shaded part of the unit is greater than the given value , the working position will be raised; otherwise, the working position will be lowered. Let the load above the working position be carried by the unit, and take the maximum allowable output value for the output that is greater than the maximum allowable output period of the unit.

如图6所示,抬高或降低工作位置的步长取Δx=(E-Eg)/T,T为模拟时间长度,一般取24h,当|E-Eg|≤ε时满足迭代要求,ε为设定的精度。As shown in Figure 6, the step size of raising or lowering the working position is Δx=(EE g )/T, T is the simulation time length, generally 24h, when |EE g |≤ε meets the iteration requirements, ε is the set specified accuracy.

步骤4、设定风电修正负荷次数为n,并初始化n=1;若风电不需要进行多次谷荷弃风,则n=1不会改变;若风电需进行多次谷荷弃风,则每进行一次谷荷弃风,n的值就会增加1,但由于多次弃风的次数无法提前确定,故n的最大值也无法提前知晓,只有完成整个随机生产过程之后才能确定(需要注意的是,只要风电修正次数改变,所有的机组需要重新安排投运,故机组参数和系统约束条件参数均为第n次风电修正负荷后的值)。Step 4. Set the number of wind power correction loads as n, and initialize n=1; if wind power does not need to perform multiple valley load curtailment, then n=1 will not change; if wind power requires multiple valley load curtailment, then Every time Guhe abandons wind, the value of n will increase by 1, but since the number of times of abandoning wind cannot be determined in advance, the maximum value of n cannot be known in advance, and can only be determined after the entire random production process is completed (note What is interesting is that as long as the number of wind power corrections changes, all units need to be rescheduled to be put into operation, so the parameters of the units and the parameters of the system constraints are the values after the nth wind power correction load).

步骤5、由发电机组数据获得供热机组强迫出力,根据风电资源数据和供热机组强迫出力(即所有机组最小技术出力之和),修正初步修正时序负荷曲线Load2,获得第n次风电接纳量Wn和第n次时序净负荷曲线Load3nStep 5. Obtain the forced output of the heating unit from the data of the generating unit, and modify the preliminary correction time-series load curve Load2 according to the wind power resource data and the forced output of the heating unit (that is, the sum of the minimum technical output of all units), and obtain the nth wind power acceptance W n and n time sequence net load curve Load3 n ;

步骤5中的第n次风电接纳量Wn按如下步骤获得:The nth wind power acceptance W n in step 5 is obtained by the following steps:

步骤a、设定变量t,并初始化t=1;将初步修正时序负荷曲线Load2在t时刻的负荷值记为Load2t;Step a, set the variable t, and initialize t=1; record the load value of the preliminary corrected time series load curve Load2 at time t as Load2t;

步骤b、判断n=1是否成立,若成立,则转步骤c;否则,转步骤d;Step b, judging whether n=1 is established, if established, then go to step c; otherwise, go to step d;

步骤c、判断t时刻是否满足:Load2t-强迫出力>=风电机组发电量;Step c, judging whether time t is satisfied: Load2t-forced output >= wind turbine generating capacity;

若满足,则令t时刻的风电接纳量=风电机组发电量;否则,令t时刻风电接纳量=Load2t-强迫出力;转步骤f;If it is satisfied, then let the wind power acceptance at time t=the power generation of wind turbines; otherwise, let the wind power acceptance at time t=Load2t-forced output; go to step f;

步骤d、以λ为弃风比率;判断t时刻是否满足:Load2t-(强迫出力+λ×风电装机容量×n)>=风电机组发电量;Step d, taking λ as the wind abandonment ratio; judging whether the time t is satisfied: Load2t-(forced output+λ×wind power installed capacity×n)>=wind turbine generating capacity;

若满足,则令t时刻风电接纳量=风电机组发电量;否则,转步骤e;If it is satisfied, set the wind power acceptance amount at time t = wind power generating capacity; otherwise, go to step e;

步骤e、判断Load2t-(强迫出力+λ×风电装机容量×n)>0是否成立,若成立,则令t时刻风电接纳量=Load2t-(强迫出力+λ×风电装机容量×n);否则,令t时刻风电接纳量=风电机组发电量;Step e. Determine whether Load2t-(forced output+λ×wind power installed capacity×n)>0 is true, and if it is true, then set wind power acceptance at time t=Load2t-(forced output+λ×wind power installed capacity×n); otherwise , so that wind power acceptance at time t = wind power generating capacity;

步骤f、判断t=T是否成立,若成立,则表示获得第n次风电接纳量Wn;否则,将t+1赋值给t,并返回步骤b。Step f, judging whether t=T is true, if true, it means that the nth wind power acceptance amount W n is obtained; otherwise, assign t+1 to t, and return to step b.

以T=24为例,如图7所示,当n=1时,经过初始谷荷弃风,可获得周期T内的初始弃风量和初始风电接纳接纳量W1;当n>1时,经过多次谷荷弃风直到满足约束条件,最终可获得周期T内的弃风量和风电接纳接纳量WnTaking T=24 as an example, as shown in Figure 7, when n=1, after the initial valley load curtailment, the initial curtailed wind volume and the initial wind power acceptance capacity W 1 in the period T can be obtained; when n>1, After several times of abandoning the wind in Guhe until the constraint conditions are met, the amount of abandoned wind and wind power acceptance W n in the period T can be finally obtained;

步骤6、将第n次时序净负荷曲线Load3n转化为第n次等效持续负荷曲线,并求取第n次等效持续负荷曲线上,负荷值为X处的初始累积概率P0,n(X)、初始累积频率F0,n(X)、初始电量不足期望值EENS0,n(X)和初始最大增长速率 Step 6. Convert the nth time series net load curve Load3 n into the nth equivalent continuous load curve, and calculate the initial cumulative probability P 0,n at the load value X on the nth equivalent continuous load curve (X), initial cumulative frequency F 0,n (X), initial expected value of insufficient power EENS 0,n (X) and initial maximum growth rate

步骤6中的负荷值为X处的初始累积概率P0,n(X)、初始累积频率F0,n(X)、初始电量不足期望值EENS0,n(X)和初始最大增长速率是按如下步骤求取:The load value in step 6 is the initial cumulative probability P 0,n (X) at X, the initial cumulative frequency F 0,n (X), the initial expected value of insufficient electricity EENS 0,n (X) and the initial maximum growth rate It is obtained according to the following steps:

如图8,取从某日正午12点开始连续24h数据:As shown in Figure 8, take the continuous 24h data from 12:00 noon on a certain day:

初始累积概率P0,n(X)、累积频率F0,n(X)和负荷最大增长速率的计算式如下:Initial cumulative probability P 0,n (X), cumulative frequency F 0,n (X) and maximum load growth rate The calculation formula is as follows:

式(1)-式(3)中:Pt(X),Ft(X)和为各时刻负荷值为X处的累积概率,累积频率和增长速率,其计算式如下:In formula (1)-formula (3): P t (X), F t (X) and is the accumulative probability, accumulative frequency and growth rate at the load value X at each moment, and its calculation formula is as follows:

式(4)-式(6)中:xt,xt+1为t和t+1时刻的负荷值。In Formula (4)-Formula (6): x t , x t+1 are the load values at time t and t+1.

初始电量不足期望值EENS0,n(X)为图8中阴影部分面积;本发明中负荷值X代表一系列负荷点,其值从0开始到((最大负荷+机组总容量)/ΔX+1)·ΔX为止,步长为ΔX(一般取机组容量最大公约数)。The expected value of the initial electricity shortage EENS 0,n (X) is the area of the shaded part in Figure 8; the load value X in the present invention represents a series of load points, and its value starts from 0 to ((maximum load+total capacity of the unit)/ΔX+1 ) · ΔX, the step size is ΔX (generally take the greatest common divisor of unit capacity).

步骤7、根据电力系统的运行需求确定(第n次风电修正负荷后)电力系统的初始旋转备用容量和初始爬坡容量值以及爬坡容量需求、事故备用容量需求和负荷增长备用容量需求;Step 7. Determine the initial spinning reserve capacity of the power system (after the nth wind power correction load) according to the operating requirements of the power system and the initial ramp capacity value And climbing capacity demand, emergency reserve capacity demand and load growth reserve capacity demand;

步骤8、由发电机组数据获得总投运次数I;设定投运机组次数为i,并初始化i=1;Step 8. Obtain the total operation times I from the generator set data; set the number of operation units as i, and initialize i=1;

步骤8中的总投运次数I=分段机组台数×2+不分段机组台数。The total number of times of commissioning in step 8 I = the number of segmented units × 2 + the number of non-segmented units.

步骤9、根据电力系统的约束条件,以最低发电成本为目标,判断是否需要重新修正风电,若需要,则将n+1赋值给n,并返回步骤5执行,若不需要,则确定第i次投运的发电机组号;Step 9. According to the constraints of the power system and aiming at the lowest power generation cost, judge whether it is necessary to re-correct the wind power. If necessary, assign n+1 to n and return to step 5 for execution. If not, determine the i-th The generator set number put into operation for the second time;

步骤9是按如下步骤判断是否需要重新修正风电:Step 9 is to judge whether it is necessary to re-correct the wind power according to the following steps:

步骤(1)、判断i>1且第i次投运发电机后的总投运容量大于电力系统的最大负荷是否成立,若成立,则选择耗量微增率最小的机组或机组分段进行投运,并转步骤(7);否则,转步骤(2);Step (1), judging whether i>1 and the total operating capacity of the generator after the i-th operation is greater than the maximum load of the power system is true, if true, select the unit or unit segment with the smallest consumption micro-increase rate Put into operation, and go to step (7); otherwise, go to step (2);

步骤(2)、判断所有未投运的机组中是否还有强迫出力机组或机组分段,若有,则选取耗量微增率最小的强迫出力机组或机组分段进行投运,并转步骤(7);否则,转步骤(3);Step (2), judging whether there are forced output units or unit segments among all the units that have not been put into operation, if so, select the forced output unit or unit segment with the smallest consumption micro-increase rate to put into operation, and go to step (7); Otherwise, go to step (3);

步骤(3)、判断是否满足电力系统的旋转备用约束和爬坡约束条件,若满足,则转步骤(5);否则,转步骤(4);Step (3), judging whether the spinning reserve constraint and the climbing constraint condition of the power system are satisfied, if satisfied, then go to step (5); otherwise, go to step (4);

步骤(4)、判断所有未投运的机组中是否存在分段机组的第一分段,若存在,则选取耗量微增率最小的第一分段进行投运,并转步骤(7);否则,表示需要重新修正风电;Step (4), judging whether there is the first section of the sectioned unit among all the units not put into operation, if it exists, select the first section with the smallest consumption micro-increase rate to put into operation, and go to step (7) ; Otherwise, it means that wind power needs to be re-corrected;

步骤(5)、查找所有未投运的机组中耗量微增率最小的机组或机组分段,判断该机组或机组分段是否为分段机组的第二分段;若是,则转步骤(6);否则,转步骤(7);Step (5), find the unit or unit segment with the smallest consumption micro-increase rate among all the units not put into operation, and judge whether the unit or unit segment is the second subsection of the segmented unit; if so, go to step ( 6); otherwise, go to step (7);

步骤(6)、对电力系统的旋转备用容量和爬坡容量进行预修正,并判断是否满足预修正后的旋转备用约束和爬坡约束条件,若满足,则投入分段机组的第二分段,并转步骤(7);否则,则在排除最小比耗量机组为分段机组的第二分段的情况下,转步骤(5);Step (6), pre-correct the spinning reserve capacity and ramping capacity of the power system, and judge whether the pre-corrected spinning reserve constraints and ramping constraints are satisfied, and if so, put into the second segment of the segmented unit , and go to step (7); otherwise, go to step (5) under the condition that the minimum specific consumption unit is excluded as the second section of the subsection unit;

步骤(7)、表示不需要重新修正风电。Step (7), indicating that wind power does not need to be re-corrected.

步骤9中电力系统的约束条件包括如式(7)和式(8)所示的旋转备用约束和爬坡约束:The constraints of the power system in step 9 include spinning reserve constraints and ramp constraints as shown in equations (7) and (8):

式(7)和式(8)中:表示(第n次风电修正负荷后)第i次投运发电机组后电力系统的旋转备用容量,常规机组都没有投运时,其值为可快速投运的冷备用机组容量;SPR0为系统的旋转备用容量需求,通常为一给定值;表示(第n次风电修正负荷后)第i次投运发电机组后电力系统的增荷容量,若投入不分段机组,增荷容量不变,如投入分段机组,则需要对增荷容量进行修正;t0为要求旋转备用容量投入的时间;为事故旋转备用容量需求,即系统要求其设置的事故旋转备用容量在t0小时内全部到达(若取t0=0.2h,即要求12min内系统能够提供所需旋转备用容量值);为负荷增长旋转备用容量需求,负荷备用需要的平均增荷速率为式(8)不等式右边整体代表系统的爬坡容量需求,由于可见其值为一变量;Xi为第i次投运的发电机组在等效持续负荷曲线上的投运点;表示(第n次风电修正负荷后)第i次投运的发电机组在投运点Xi处最大增荷速率;Δt表示考虑爬坡速率约束的爬坡时间,可取Δt=0.25h(即15min)。In formula (7) and formula (8): Indicates the spinning reserve capacity of the power system after the i-th putting into operation of the generator set (after the nth wind power correction load). When no conventional generating set is put into operation, its value is the capacity of the cold standby set that can be put into operation quickly; SPR 0 is the system Spinning reserve capacity requirement of , usually a given value; Indicates (after the nth wind power correction load) the increased load capacity of the power system after the ith generator set is put into operation. Make corrections; t 0 is the time required to invest in spinning reserve capacity; For the accident spinning reserve capacity demand, that is, the accident spinning reserve capacity required by the system All arrive within t 0 hours (if t 0 =0.2h, it is required that the system can provide the required spinning reserve capacity value within 12 minutes); Spin reserve capacity demand for load growth, the average load increase rate required by load reserve is The right side of the inequality in equation (8) as a whole represents the climbing capacity requirement of the system, because It can be seen that its value is a variable; X i is the operating point of the generator set put into operation for the ith time on the equivalent continuous load curve; Indicates (after the nth wind power correction load) the maximum load increase rate of the generator set put into operation for the ith time at the operating point Xi; ).

除考虑系统旋转备用约束和爬坡约束条件外,还考虑总投运容量与最大负荷关系,机组的随机故障、机组启动失败概率PS、机组最小开停机时间限制和机组爬坡速率的限制TR(以启停调峰机组模型为例,即从零出力状态到满额出力状态所需的爬坡时间)。In addition to considering the system spinning reserve constraints and ramp constraints, the relationship between the total operating capacity and the maximum load, the random failure of the unit, the unit startup failure probability P S , the minimum start-stop time limit of the unit and the limit of the unit ramp rate TR (Take the start-stop peak-shaving unit model as an example, that is, the ramp-up time required from zero output state to full output state).

步骤10、根据第i次投运的发电机组类型及带基荷的状况,确定第i次投运的发电机组所属的机组模型;Step 10, according to the type of the generator set put into operation for the ith time and the condition of the base load, determine the unit model to which the generator set put into operation for the ith time belongs;

当i=1时,由初始累积概率P0,n(X)和初始累积频率F0,n(X)获得(第n次风电修正负荷后)第i次投运发电机组时电力系统需要机组投运的转移率和不需要机组投运的转移率 When i=1, it is obtained from the initial cumulative probability P 0,n (X) and initial cumulative frequency F 0,n (X) (after the nth wind power correction load) that the power system needs a generating set when it is put into operation for the first time Shipping transfer rate and transfer rates that do not require unit commissioning

当i≠1时,由第i-1次投运发电机组后的累积概率Pi-1,n(X)和第i-1次累计频率Fi-1,n(X)获得(第n次风电修正负荷后)第i次投运发电机组时电力系统需要机组投运的转移率和不需要机组投运的转移率 When i≠1, it is obtained from the cumulative probability P i-1,n (X) and the cumulative frequency F i-1,n (X) of the i-1th time after the generator set is put into operation for the i-1th time (the nth After the wind power load is corrected for the second time), the power system needs the transfer rate of the unit to be put into operation when the generator set is put into operation for the ith time and transfer rates that do not require unit commissioning

步骤10中的需要机组投运的转移率和不需要机组投运的转移率按利用式(9)和式(10)进行计算:The transfer rate that requires the unit to be put into operation in step 10 and transfer rates that do not require unit commissioning Calculate according to formula (9) and formula (10):

式(9)和式(10)中:Fi-1,n(Xi)表示(第n次风电修正负荷后)第i-1次投运发电机组后负荷值X=Xi处的累积概率;Pi-1,n(Xi)表示(第n次风电修正负荷后)第i-1次投运发电机组后负荷值X=Xi处的累积频率。In formulas (9) and (10): F i-1,n (X i ) represents (after the n-th wind power correction load) the cumulative load value X=X i after the i-1th generator set is put into operation Probability; P i-1,n (X i ) represents (after the nth wind power correction load) the cumulative frequency at the load value X=X i after the i-1th generator set is put into operation.

设定发电机组最小连续运行时间和最小经济停机时间假设整个系统的停运持续时间和正常运行时间服从电力系统需要机组投运的转移率(又称“需求率”)和不需要机组投运的转移率(又称“不需求率”)的指数分布,故:Set the minimum continuous running time of the generator set and minimum economic downtime Assuming that the outage duration and uptime of the entire system obey the transfer rate that the power system needs to put the unit into operation (also known as the "demand rate") and transfer rates that do not require units to be commissioned (Also known as the "dispossession rate") exponential distribution, so:

式(11)和式(12)中:pu i是第i次投运的发电机组的运行时间大于最小连续运行时间的概率;pd i是第i次投运的发电机组的停运时间大于最小经济停机时间的概率。In formula (11) and formula (12): p u i is the running time of the generator set put into operation for the ith time greater than the minimum continuous running time The probability of ; p d i is the outage time of the generator set put into operation for the ith time is greater than the minimum economic downtime The probability.

机组的开停机限制约束:需将启停调峰机组和两分段启停调峰机组模型中的需求率和不需求按下式进行修正:The start-stop limit constraints of the unit: the demand rate in the start-stop peak-shaving unit and the two-stage start-stop peak-shaving unit model needs to be and does not require Correct as follows:

此时修正后的需求率和不需求在原有的基础上打了折扣,所得的机组模型为考虑机组最小开停机限制后,机组在整个随机生产模拟过程中的状态空间图,各部分概率即为机组在整个生产模拟过程中所处在该状态的概率;修正后的需求率则表示加入开停机时间限制后,机组从备用状态的向爬坡状态的实际转移率。The revised demand rate at this time and does not require Discounted on the original basis, the obtained unit model is the state space diagram of the unit during the entire stochastic production simulation process after considering the minimum start-up and shutdown restrictions of the unit, and the probability of each part is the position of the unit during the entire production simulation process. Probability of the state; corrected demand rate It represents the actual transfer rate of the unit from the standby state to the ramp state after adding the on-off time limit.

步骤11、根据第i次投运的发电机组号,修正获得(第n次风电修正负荷后)第i次投运发电机组后电力系统的旋转备用容量和爬坡容量 Step 11. According to the generator set number put into operation for the ith time, the spinning reserve capacity of the power system after the generator set put into operation for the ith time is corrected to obtain (after the nth wind power correction load) and climbing capacity

步骤11中是按如下情况修正旋转备用容量和爬坡容量 In step 11, the spinning reserve capacity is corrected as follows and climbing capacity

(a)如果第i次投运的发电机组为分段机组的第一分段,其容量为Cd i,此时机组1段投运,第2分段处在旋转备用状态,备用容量增加量,爬坡容量也增加,增加的爬坡容量最多为2段容量,则利用式(15)和式(16)进行修正:(a) If the generator set put into operation for the ith time is the first segment of the segmented unit, and its capacity is C d i , at this time, the first segment of the unit is put into operation, and the second segment is in the spinning standby state, and the reserve capacity increases amount, the climbing capacity also increases, and the increased climbing capacity is at most 2 stages of capacity, then use formula (15) and formula (16) to correct:

(b)如果第i次投运的发电机组为分段机组的第二分段,其容量为Xd i,2段退出旋转备用状态,备用容量减少,爬坡容量也随之减少,减少的爬坡容量最多为2段容量,则利用式(17)和式(18)进行修正:(b) If the generator set put into operation for the ith time is the second segment of the segmented unit, its capacity is X d i , and the second segment exits the spinning reserve state, the reserve capacity decreases, and the ramp capacity also decreases accordingly. The reduced The climbing capacity is at most 2 stages of capacity, then use formula (17) and formula (18) to modify:

(c)如果第i次投运的发电机组为不分段机组,机组投运对系统的备用容量和爬坡容量没有影响,则利用式(19)和式(20)进行修正:(c) If the generator set put into operation for the i-th time is a non-segmented unit, and the operation of the unit has no effect on the reserve capacity and ramp capacity of the system, then use formula (19) and formula (20) to make corrections:

式(15)-式(20)中,Ce i表示第i次投运的发电机组的额定容量;表示(第n次风电修正负荷后)第i-1次投运发电机组后电力系统的旋转备用容量;表示(第n次风电修正负荷后)第i-1次投运发电机组后系统的爬坡容量。In formula (15) - formula (20), C e i represents the rated capacity of the generating set put into operation for the ith time; Indicates (after the nth wind power correction load) the spinning reserve capacity of the power system after the i-1th generator set is put into operation; Indicates (after the nth wind power correction load) the climbing capacity of the system after the i-1th generator set is put into operation.

步骤12、将第i次投运的发电机组所属的机组模型转化为等效两状态机组模型,如图9所示,或等效三状态机组模型,如图10所示;Step 12, converting the unit model of the generating unit put into operation for the ith time into an equivalent two-state unit model, as shown in Figure 9, or an equivalent three-state unit model, as shown in Figure 10;

基荷机组模型和启停调峰机组模型需转化为等效两状态机组模型,压负荷调峰机组模型和两分段启停调峰机组模型需转化为等效三状态机组模型;其等效两状态机组模型或等效三状态机组模型的状态概率计算如下:The base load unit model and the start-stop peak-shaving unit model need to be transformed into an equivalent two-state unit model, and the pressure-load peak-shaving unit model and the two-stage start-stop peak-shaving unit model need to be transformed into an equivalent three-state unit model; the equivalent The state probabilities for a two-state unit model or an equivalent three-state unit model are calculated as follows:

1)基荷机组模型(两状态模型)可直接采用强迫停运率FOR(即机组零状态概率)计算。即:1) The base-load unit model (two-state model) can be directly calculated using the forced outage rate FOR (ie, the zero-state probability of the unit). which is:

CFOR=FOR (21)CFOR=FOR (21)

2)启停调峰机组模型(五状态模型)需转化为等效两状态机组模型进行计算。停运概率采用条件强迫停运率CFOR计算,CFOR一般指系统需要机组投运的情况下机组故障的概率;需要注意的是,图3考虑了爬坡时间约束,此时CFOR表示系统需要机组投运的情况下机组出力为零的概率,图中爬坡状态为机组刚启动状态,其出力为零。故:2) The start-stop peak-shaving unit model (five-state model) needs to be transformed into an equivalent two-state unit model for calculation. The outage probability is calculated using the conditional forced outage rate CFOR, which generally refers to the probability of unit failure when the system requires the unit to be put into operation; it should be noted that the ramp time constraint is considered in Figure 3. The probability that the output of the unit is zero in the case of operation, the climbing state in the figure is the state of the unit just started, and its output is zero. Therefore:

式(22)中:P3,P4,P5分别表示图中机组模型中状态3,4,5的概率。In formula (22): P3, P4, and P5 represent the probabilities of states 3, 4, and 5 in the unit model in the figure, respectively.

3)压负荷调峰机组模型(四状态模型)在系统需要机组投运的情况下,需转化为等效三状态机组模型进行计算。等效三状态的三个状态分别为:机组额定出力状态概率AV,机组降额出力状态概率DFOR和机组零状态概率FOR,对应计算式如下:3) The model of the pressure load peak-shaving unit (four-state model) needs to be transformed into an equivalent three-state unit model for calculation when the system requires the unit to be put into operation. The three states of the equivalent three states are: the unit rated output state probability AV, the unit derated output state probability DFOR and the unit zero state probability FOR, and the corresponding calculation formula is as follows:

式(23)中:P1,P2,P3,P4分别表示图中机组模型中状态1,2,3,4的概率。In formula (23): P1, P2, P3, and P4 represent the probabilities of states 1, 2, 3, and 4 in the unit model in the figure, respectively.

4)两分段启停调峰机组模型(七状态模型)同样等效为三状态机组进行计算;图4中爬坡1段为刚启动时刻,出力近似为零,爬坡3段为刚从降额开始增加出力时刻,出力近似为降额出力,其等效三状态状态概率计算如下:4) The two-stage start-stop peak-shaving unit model (seven-state model) is also equivalent to a three-state unit for calculation; in Figure 4, the first stage of climbing is the moment of just starting, and the output is approximately zero, and the third stage of climbing is just from the start. When the derating starts to increase the output, the output is approximately the derated output, and the equivalent three-state state probability is calculated as follows:

式(24)中:P3,P4,P5,P6,P7分别表示图中机组模型中状态3,4,5,6,7的概率。In formula (24): P3, P4, P5, P6, and P7 represent the probabilities of states 3, 4, 5, 6, and 7 in the unit model in the figure, respectively.

步骤13、将等效两状态机组模型或等效三状态机组模型进行随机生产模拟,获得(第n次风电修正负荷后)第i次投运发电机组后的累积概率Pi,n(X)、累积频率Fi,n(X)、电量不足期望值EENSi,n(X)和最大增长速率并计算获得第i次投运的发电机组的发电量、发电成本以及机组的冷、热启动次数;Step 13. Perform stochastic production simulation on the equivalent two-state unit model or the equivalent three-state unit model, and obtain the cumulative probability P i,n (X) after the i-th operation of the generating unit (after the n-th wind power correction load) , cumulative frequency F i,n (X), expected value of insufficient power EENS i,n (X) and maximum growth rate And calculate the power generation, power generation cost and cold and hot start times of the generator set put into operation for the ith time;

步骤13中的累积概率Pi,n(X)、累积频率Fi,n(X)、电量不足期望值EENSi,n(X)和最大增长速率是按如下情况获得:Cumulative probability P i,n (X), cumulative frequency F i,n (X), expected value of battery shortage EENS i,n (X) and maximum growth rate in step 13 is obtained as follows:

1)若第i次投运的发电机组为不分段机组或分段机组的第一分段,则利用式(26)、式(27)和式(28)获得累积概率Pi,n(X)、累积频率Fi,n(X)和电量不足期望值EENSi,n(X):1) If the generating unit put into operation for the i-th time is a non-segmented unit or the first segment of a segmented unit, the cumulative probability P i,n ( X), cumulative frequency F i,n (X) and expected value of insufficient power EENS i,n (X):

Pi,n(X)=Pi-1,n(X)·(1-FORi)+Pi-1,n(X-Ci)·FORi (26)P i,n (X)=P i-1,n (X)·(1-FOR i )+P i-1,n (XC i )·FOR i (26)

Fi,n(X)=Fi-1,n(X)·(1-FORi)+Fi-1,n(X-Ci)·FORi+ue i·FORi·[Pi-1,n(X-Ci)-Pi-1,n(X)] (27)F i,n (X)=F i-1,n (X)·(1-FOR i )+F i-1,n (XC i )·FOR i +u e i ·FOR i ·[P i- 1,n (XC i )-P i-1,n (X)] (27)

EENSi,n(X)=EENSi-1,n(X)·(1-FORi)+EENSi-1,n(X-Ci)·FORi (28)EENS i,n (X)=EENS i-1,n (X)·(1-FOR i )+EENS i-1,n (XC i )·FOR i (28)

式(26)、式(27)和式(28)中:X表示等效持续负荷曲线上的负荷值,以ΔX(一般取所有发电机组容量的最大公约数)为间隔,X=0,ΔX,2·ΔX…(最大负荷+Pi(X)/ΔX+1)·ΔX;Pi,n(X)、Fi,n(X)和EENSi,n(X)分别表示(第n次风电修正负荷后)第i次机组投运后等效持续负荷曲线上负荷值为X处的累积概率、累积频率和电量不足期望值;Pi-1,n(X)、Fi-1,n(X)和EENSi-1,n(X)分别表示(第n次风电修正负荷后)第i-1次机组投运后等效持续负荷曲线上负荷值为X处的累积概率、累积频率和电量不足期望值;FORi表示第i次投运的发电机组的等效两状态机组出力为零的概率;ue i表示等效两状态机组的等效修复率;Ci表示第i次投运的发电机组或机组分段的容量,若第i次投运的发电机组为不分段机组,则Ci=Ce i,若第i次投运的发电机组为分段机组的第一分段,则Ci=Cd iIn formula (26), formula (27) and formula (28): X represents the load value on the equivalent continuous load curve, with ΔX (generally taking the greatest common divisor of the capacity of all generator sets) as the interval, X=0,ΔX ,2·ΔX...(maximum load+P i (X)/ΔX+1)·ΔX; P i,n (X), F i,n (X) and EENS i,n (X) represent respectively (n After the first wind power correction load) the cumulative probability, cumulative frequency and expected value of power shortage on the equivalent continuous load curve after the i-th unit is put into operation at the load value X; P i-1,n (X), F i-1, n (X) and EENS i-1,n (X) respectively represent (after the n-th wind power correction load) the cumulative probability and cumulative frequency and power shortage expectation; FOR i represents the probability that the output of the equivalent two-state unit of the i-th generator set is zero; u e i represents the equivalent repair rate of the equivalent two-state unit; C i represents the i-th The capacity of the generator set or unit section in operation, if the generator set put into operation for the i-th time is a non-segmented unit, then C i =C e i , if the generator set put into operation for the i-th time is the first One segment, then C i =C d i .

若第i次投运的发电机组为分段机组的第二分段,则利用式(29)、式(30)和式(31)进行反卷积运算,获得反卷积运算后的累积概率P1 i(X)、累积频率F1 i(X)和电量不足期望值EENS1 i(X):再利用式(32)、式(33)和式(34),获得累积概率Pi,n(X)、累积频率Fi,n(X)和电量不足期望值EENSi,n(X):If the generator set put into operation for the i-th time is the second segment of the segmented unit, use formula (29), formula (30) and formula (31) to perform deconvolution operation to obtain the cumulative probability after deconvolution operation P 1 i (X), cumulative frequency F 1 i (X) and expected value of battery shortage EENS 1 i (X): Reuse formula (32), formula (33) and formula (34) to obtain cumulative probability P i,n (X), cumulative frequency F i,n (X) and expected value of insufficient power EENS i,n (X):

P1 i(X)=[Pi-1,n(X)-P1 i(X-Cd i)·FORi]/(1-FORi) (29)P 1 i (X)=[P i-1,n (X)-P 1 i (XC d i )·FOR i ]/(1-FOR i ) (29)

F1 i(X)=[Fi-1.n(X)-F1 i(X-Cd i)·FORi-ue i·FORi·(P1 i(X-Cd i)-P1 i(X))]/(1-FORi) (30)F 1 i (X)=[F i-1.n (X)-F 1 i (XC d i )·FOR i -u e i ·FOR i ·(P 1 i (XC d i )-P 1 i (X))]/(1-FOR i ) (30)

EENS1 i(X)=[EENSi-1,n(X)-EENS1 i(X-Cd i)]/(1-FORi) (31)EENS 1 i (X)=[EENS i-1,n (X)-EENS 1 i (XC d i )]/(1-FOR i ) (31)

Pi,n(X)=P1 i(X)·AVi+P1 i(X-Xd i)·DFORi+P1 i(X-Ce i)·FORi (32)P i,n (X)=P 1 i (X)·AV i +P 1 i (XX d i )·DFOR i +P 1 i (XC e i )·FOR i (32)

Fi,n(X)=F1 i(X)·AVi+F1 i(X-Xd i)·DFORi+F1 i(X-Ce i)·FORi+AVi·λT i·[P1 i(X-Ce i)-P1 i(X)]+AVi·ρ- i,n·[P1 i(X-Xd i)-P1 i(X)]+DFORi·λD i·[P1 i(X-Ce i)-P1 i(X-Xd i)]F i,n (X)=F 1 i (X)·AV i +F 1 i (XX d i )·DFOR i +F 1 i (XC e i )·FOR i +AV i ·λ T i ·[ P 1 i (XC e i )-P 1 i (X)]+AV i ·ρ - i,n ·[P 1 i (XX d i )-P 1 i (X)]+DFOR i ·λ D i ·[P 1 i (XC e i )-P 1 i (XX d i )]

(33) (33)

EENSi,n(X)=EENS1 i(X)·AVi+EENS1 i(X-Xd i)·DFORi+EENS1 i(X-Ce i)·FORi (34)EENS i,n (X)=EENS 1 i (X) AV i +EENS 1 i (XX d i ) DFOR i +EENS 1 i (XC e i ) FOR i (34)

式(29)—式(34)中:AVi,DFORi,FORi分别表示等效三状态机组额定出力概率、降额出力概率和零出力概率;λT i和λD i分别表示等效三状态机组中额定状态和降额状态的强迫停运率,P1 i(X),F1 i(X),EENS1 i(X)分别表示将一段反卷积后等效持续负荷曲线上负荷值为X处的累积概率、累积频率和电量不足期望值。In Equation (29)—Equation (34): AV i , DFOR i , FOR i respectively represent the rated output probability, derated output probability and zero output probability of the equivalent three-state unit; λ T i and λ D i represent the equivalent The forced outage rates of the rated state and the derated state in the three-state unit, P 1 i (X), F 1 i (X), and EENS 1 i (X) represent the deconvoluted equivalent continuous load curve The load value is the cumulative probability, cumulative frequency and expected value of insufficient power at X.

步骤14、累计第i次投运发电机后的总投运容量,并判断i<I是否成立;若成立,则将i+1赋值给i;并返回步骤9;否则,表示完成随机生产模拟。Step 14. Accumulate the total operating capacity of the generator after the i-th operation, and judge whether i<I is true; if it is true, assign i+1 to i; and return to step 9; otherwise, it means that the random production simulation is completed .

最终随机生产模拟结果中,可计算处理得到风电接纳量、弃风率,并计算得到生产模拟周期内冷、热启动次数、启动成本和冷、热启动成本以及可靠性指标EENS和LOLP;另外,还可以研究机组自身约束条件和系统约束条件对随机生产模拟的影响。In the final stochastic production simulation results, the wind power acceptance and wind abandonment rate can be calculated and processed, and the number of cold and hot starts, start-up costs and cold and hot start-up costs in the production simulation cycle, as well as reliability indicators EENS and LOLP can be calculated; in addition, It is also possible to study the influence of unit constraints and system constraints on stochastic production simulation.

Claims (9)

1. a kind of random production analog method considering load and wind-powered electricity generation temporal characteristics is applied in electric system, It is characterized in that the method carries out as follows:
Step 1, generating set data, wind power resources data and the sequential load data for obtaining electric system in T research cycle, by The sequential load data obtains original temporal load curve, and is denoted as Load1;
Step 2 establishes four kinds of unit models, including:Base lotus unit model, start and stop regulating units model, pressure load regulating units Model and two segmentation start and stop regulating units models;
Step 3, by the generating set data and sequential load data, tentatively correct the original temporal load curve Load1, Preliminary amendment sequential load curve is obtained, Load2 is denoted as;
Step 4 sets wind-powered electricity generation modified load number as n, and initializes n=1;
Step 5 is obtained the forced output of thermal power plant unit by the generating set data, according to the wind power resources data and heat supply machine Group, which is forced, contributes, and corrects the preliminary amendment sequential load curve Load2, obtains n-th wind-powered electricity generation receiving amount WnWith n-th sequential Net load curve Load3n
Step 6, by the n-th sequential net load curve Load3nIt is converted into n-th equivalent load duration curve, and seeks institute It states on n-th equivalent load duration curve, load value is the initial build probability P at X0,n(X), initial build frequency F0,n(X)、 Initial quantity of electricity deficiency desired value EENS0,n(X) and initial maximum rate of rise
Step 7, the initial rotation spare capacity that the electric system is determined according to the operation demand of the electric systemWith Initial climbing capability value
Step 8, always put into operation number I by generating set data acquisition;The unit number that puts into operation is set as i, and initializes i=1;
Step 9, the constraints according to electric system judge whether to need to correct wind again using minimum cost of electricity-generating as target Electricity, if desired, n+1 is then assigned to n, and return to step 5 executes, if not needing, it is determined that the generating set that ith puts into operation Number;
The situation of step 10, the generating set type and tape base lotus that are put into operation according to the ith, determines the power generation that ith puts into operation Unit model belonging to unit;
As i=1, by the initial build probability P0,n(X) and the initial build frequency F0,n(X) ith is obtained to put into operation hair The electric system needs the rate of transform that unit puts into operation when motor groupWith the rate of transform for not needing unit and putting into operation
As i ≠ 1, by the cumulative probability P after (i-1)-th generating set that puts into operationi-1,n(X) and (i-1)-th cumulative frequency Fi-1,n(X) Obtain ith put into operation generating set when the electric system rate of transform that needs unit to put into operationWith do not need what unit put into operation The rate of transform
Step 11, the generator group number to be put into operation according to the ith are corrected and obtain ith and put into operation the electric power after generating set The spinning reserve capacity of systemWith climbing capacity
Step 12, convert the unit model belonging to generating set that the ith puts into operation to equivalent two states unit model or Equivalent three-state machine group model;
The equivalent two states unit model or equivalent three-state machine group model are carried out Stochastic Production Simulation by step 13, are obtained Ith puts into operation the cumulative probability P after generating seti,n(X), cumulative frequency Fi,n(X), expected loss of energy EENSi,n(X) and Maximum growth rate
Step 14, accumulative ith put into operation the capacity that always puts into operation after generator, and judge whether i < I are true;If so, then by i+ 1 is assigned to i;And return to step 9;Otherwise, it indicates to complete Stochastic Production Simulation.
2. the random production analog method according to claim 1 for considering load and wind-powered electricity generation temporal characteristics, feature Be generating set described in step 1 include thermoelectricity generating set, hydroelectricity generator group and nuclear power generator group;The generating set Data include the type of unit, number of units, capacity, output bound, mean free error time MTTF, mean repair time MTTR with And consumption tiny increment;The wind power resources data include Wind turbines output and its corresponding period;The sequential load data To be sequentially arranged by hour load.
3. the random production analog method according to claim 1 for considering load and wind-powered electricity generation temporal characteristics, feature It is according to the different operating statuses of unit, the situation of tape base lotus during Stochastic Production Simulation and to be segmented unit in step 2 to be Capacity establishes four kinds of unit models;
The base lotus unit model:It indicates one and continuous operation unit is not segmented in basic load operation with rated capacity;
The start and stop regulating units model:Indicate the not sectional intermittent for doing peaking operation more than base lotus with a rated capacity fortune Row unit;
The pressure load regulating units model:Indicate that one first segmentation is contributed with minimum technology in basic load operation, the second segmentation The zonal cooling operating unit of peaking operation is done more than base lotus;
The two segmentations start and stop regulating units model:Between indicating that the segmentation of peaking operation is done in two segmentations more than base lotus It has a rest operating unit.
4. the random production analog method according to claim 1 for considering load and wind-powered electricity generation temporal characteristics, feature It is the receiving amount of n-th wind-powered electricity generation described in step 5 WnIt obtains as follows:
Step a, variable t is set, and initializes t=1;The preliminary sequential load curve Load2 that corrects is remembered in the load value of t moment For Load2t;
Step b, judge whether n=1 is true, if so, then go to step c;Otherwise, d is gone to step;
Step c, judge whether t moment meets:Load2t-, which is forced, to contribute>=Wind turbines generated energy;
If satisfied, then enabling wind-powered electricity generation receiving amount=Wind turbines generated energy of t moment;Otherwise, enable t moment wind-powered electricity generation receiving amount= Load2t-, which is forced, to contribute;Go to step f;
Step d, it is to abandon wind ratio with λ;Judge whether t moment meets:Load2t- (forced output+λ × installed capacity of wind-driven power × n)>=Wind turbines generated energy;
If satisfied, then enabling t moment wind-powered electricity generation receiving amount=Wind turbines generated energy;Otherwise, e is gone to step;
Step e, judge Load2t- (forcing output+λ × installed capacity of wind-driven power × n)>Whether 0 is true, if so, then enable t moment Wind-powered electricity generation receiving amount=Load2t- (forces output+λ × installed capacity of wind-driven power × n);Otherwise, t moment wind-powered electricity generation receiving amount=wind-powered electricity generation is enabled Unit generation amount;
Step f, judge whether t=T is true, if so, it then indicates to obtain n-th wind-powered electricity generation receiving amount Wn;Otherwise, t+1 is assigned to T, and return to step b.
5. the random production analog method according to claim 1 for considering load and wind-powered electricity generation temporal characteristics, feature Be in step 9 it is to judge whether to need to correct wind-powered electricity generation again as follows:
Step (1) judges that i > 1 and the ith capacity that always puts into operation after generator that puts into operation are more than the peak load of the electric system It is whether true, if so, it then selects the unit of consumption tiny increment minimum or machine set of segmentation to put into operation, and goes to step (7);It is no Then, it goes to step (2);
Whether step (2) judges to also have in all units not put into operation and forces output unit or machine set of segmentation, if so, then choosing The forced output unit or machine set of segmentation of consumption tiny increment minimum put into operation, and go to step (7);Otherwise, it goes to step (3);
Step (3) judges whether the spinning reserve constraint for meeting the electric system and Climing constant condition, if satisfied, then turning Step (5);Otherwise, it goes to step (4);
Step (4) judges the first segmentation with the presence or absence of segmentation unit in all units not put into operation, and if it exists, then chooses consumption The first minimum segmentation of amount tiny increment puts into operation, and goes to step (7);Otherwise, it indicates to need to correct wind-powered electricity generation again;
Step (5), the unit or machine set of segmentation for searching consumption tiny increment minimum in all units not put into operation, judge the unit or Whether machine set of segmentation is the second segmentation for being segmented unit;If so, going to step (6);Otherwise, it goes to step (7);
Step (6) carries out pre-corrected to the spinning reserve capacity and climbing capacity of the electric system, and judges whether to meet pre- Revised spinning reserve constraint and Climing constant condition if satisfied, then putting into the second segmentation of segmentation unit, and are gone to step (7);Otherwise, then it is gone to step (5) in the case where it is the second segmentation for being segmented unit to exclude minimum specific consumption unit;
Step (7), expression need not correct wind-powered electricity generation again.
6. the random production analog method according to claim 1 for considering load and wind-powered electricity generation temporal characteristics, feature The constraints for being electric system described in step 9 includes spinning reserve constraint and Climing constant as shown in formula (1) and formula (2) 's:
In formula (1) and formula (2):Indicate that ith puts into operation the spinning reserve capacity of the electric system after generating set;SPR0 For the spinning reserve capacity demand of system;Indicate that the ith increasing lotus of the electric system after generating set of putting into operation is held Amount;t0For the time for requiring spinning reserve capacity to put into;For accident spinning reserve capacity demand;For load growth Spinning reserve capacity demand;XiGenerating set the putting into operation a little on equivalent load duration curve put into operation for ith;Table Show generating set that ith puts into operation in the point X that puts into operationiMost increase lotus rate at place;Δ t indicates the climbing time.
7. the random production analog method according to claim 1 for considering load and wind-powered electricity generation temporal characteristics, feature It is in step 10, it is described to need the rate of transform that unit puts into operationWith the rate of transform for not needing unit and putting into operationBy the formula of utilization (3) It is calculated with formula (4):
In formula (3) and formula (4):Fi-1,n(Xi) indicate (i-1)-th generating set afterload value X=X that puts into operationiThe cumulative probability at place; Pi-1,n(Xi) indicate (i-1)-th generating set afterload value X=X that puts into operationiThe cumulative frequency at place.
8. the random production analog method according to claim 1 for considering load and wind-powered electricity generation temporal characteristics, feature It is to correct the spinning reserve capacity by following situation in step 11With climbing capacity
If (a) generating set that ith puts into operation is the first segmentation for being segmented unit, capacity Cd i, then formula (5) and formula are utilized (6) it is modified:
If (b) generating set that ith puts into operation is the second segmentation for being segmented unit, capacity Xd i, then formula (7) and formula are utilized (8) it is modified:
If (c) generating set that ith puts into operation is not to be segmented unit, it is modified using formula (9) and formula (10):
In formula (5)-formula (10), Ce iIndicate the rated capacity for the generating set that ith puts into operation;It indicates to put into operation for (i-1)-th time The spinning reserve capacity of electric system after generating set;The climbing of system after (i-1)-th generating set that puts into operation of expression Capacity.
9. the random production analog method according to claim 1 for considering load and wind-powered electricity generation temporal characteristics, feature It is the cumulative probability P described in step 13i,n(X), cumulative frequency Fi,n(X), expected loss of energy EENSi,n(X) and most it increases Long rateIt is to be obtained by following situation:
1) if the generating set that ith puts into operation is the first segmentation for not being segmented unit or being segmented unit, formula (12), formula are utilized (13) and formula (14) obtains cumulative probability Pi,n(X), cumulative frequency Fi,n(X) and expected loss of energy EENSi,n(X):
Pi,n(X)=Pi-1,n(X)·(1-FORi)+Pi-1,n(X-Ci)·FORi (12)
Fi,n(X)=Fi-1,n(X)·(1-FORi)+Fi-1,n(X-Ci)·FORi+ue i·FORi·[Pi-1,n(X-Ci)-Pi-1,n(X)] (13)
EENSi,n(X)=EENSi-1,n(X)·(1-FORi)+EENSi-1,n(X-Ci)·FORi (14)
In formula (12), formula (13) and formula (14):X indicates the load value on the equivalent load duration curve;Pi,n(X)、Fi,n(X) And EENSi,n(X) indicate that load value is the cumulative probability at the places X, tires out on equivalent load duration curve after ith unit puts into operation respectively Product frequency and expected loss of energy;Pi-1,n(X)、Fi-1,n(X) and EENSi-1,n(X) after indicating that (i-1)-th unit puts into operation respectively Load value is cumulative probability, cumulative frequency and the expected loss of energy at X on equivalent load duration curve;FORiIndicate i-th The probability that the equivalent two states unit output of the secondary generating set to put into operation is zero;ue iIndicate the equivalent of the equivalent two states unit Repair rate;CiIndicate the capacity of generating set or machine set of segmentation that ith puts into operation, if the generating set that ith puts into operation be regardless of Section unit, then Ci=Ce iIf the generating set that ith puts into operation is the first segmentation for being segmented unit, Ci=Cd i
If the generating set that ith puts into operation is the second segmentation for being segmented unit, carried out using formula (15), formula (16) and formula (17) De-convolution operation obtains the cumulative probability P after de-convolution operation1 i(X), cumulative frequency F1 i(X) and expected loss of energy EENS1 i(X):Recycling formula (18), formula (19) and formula (20) obtain cumulative probability Pi,n(X), cumulative frequency Fi,n(X) and electricity Insufficient desired value EENSi,n(X):
P1 i(X)=[Pi-1,n(X)-P1 i(X-Cd i)·FORi]/(1-FORi) (15)
F1 i(X)=[Fi-1.n(X)-F1 i(X-Cd i)·FORi-ue i·FORi·(P1 i(X-Cd i)-P1 i(X))]/(1-FORi) (16)
EENS1 i(X)=[EENSi-1,n(X)-EENS1 i(X-Cd i)]/(1-FORi) (17)
Pi,n(X)=P1 i(X)·AVi+P1 i(X-Xd i)·DFORi+P1 i(X-Ce i)·FORi (18)
Fi,n(X)=F1 i(X)·AVi+F1 i(X-Xd i)·DFORi+F1 i(X-Ce i)·FORi+AVi·λT i·[P1 i(X-Ce i)-P1 i (X)]+AVi·ρ-i,n·[P1 i(X-Xd i)-P1 i(X)]+DFORi·λD i·[P1 i(X-Ce i)-P1 i(X-Xd i)]
(19)
EENSi,n(X)=EENS1 i(X)·AVi+EENS1 i(X-Xd i)·DFORi+EENS1 i(X-Ce i)·FORi (20)
In formula (15)-formula (20):Ce iIndicate the rated capacity for the generating set that ith puts into operation, Cd iIndicate the hair that ith puts into operation Motor group is the capacity for the first segmentation for being segmented unit;AVi, DFORi, FORiIndicate that the equivalent three condition unit is specified respectively Output probability, derated output probability and zero output probability;λT iAnd λD iRated condition in the equivalent three condition unit is indicated respectively With the forced outage rate of drop volume state, P1 i(X), F1 i(X), EENS1 i(X) it indicates persistently to bear equivalent after one section of deconvolution respectively Load value is cumulative probability, cumulative frequency and the expected loss of energy at X on lotus curve.
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