CN110033204B - Combined scheduling method for power generation maintenance considering fatigue distribution uniformity of offshore wind farms - Google Patents
Combined scheduling method for power generation maintenance considering fatigue distribution uniformity of offshore wind farms Download PDFInfo
- Publication number
- CN110033204B CN110033204B CN201910329660.7A CN201910329660A CN110033204B CN 110033204 B CN110033204 B CN 110033204B CN 201910329660 A CN201910329660 A CN 201910329660A CN 110033204 B CN110033204 B CN 110033204B
- Authority
- CN
- China
- Prior art keywords
- wind
- maintenance
- power generation
- wind turbine
- model
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
- 238000012423 maintenance Methods 0.000 title claims abstract description 88
- 238000010248 power generation Methods 0.000 title claims abstract description 54
- 238000000034 method Methods 0.000 title claims abstract description 42
- 239000011159 matrix material Substances 0.000 claims abstract description 19
- 230000008901 benefit Effects 0.000 claims abstract description 16
- 238000013178 mathematical model Methods 0.000 claims abstract description 11
- 230000000694 effects Effects 0.000 claims description 13
- 239000005431 greenhouse gas Substances 0.000 claims description 5
- 238000012545 processing Methods 0.000 claims description 4
- 239000000463 material Substances 0.000 claims description 2
- 238000012544 monitoring process Methods 0.000 claims description 2
- 238000003032 molecular docking Methods 0.000 claims 1
- 230000002459 sustained effect Effects 0.000 claims 1
- 238000004364 calculation method Methods 0.000 description 3
- 238000004422 calculation algorithm Methods 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 230000007613 environmental effect Effects 0.000 description 2
- 230000007547 defect Effects 0.000 description 1
- 238000013461 design Methods 0.000 description 1
- 244000144992 flock Species 0.000 description 1
- 230000002688 persistence Effects 0.000 description 1
- 238000004088 simulation Methods 0.000 description 1
Images
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q10/00—Administration; Management
- G06Q10/06—Resources, workflows, human or project management; Enterprise or organisation planning; Enterprise or organisation modelling
- G06Q10/063—Operations research, analysis or management
- G06Q10/0631—Resource planning, allocation, distributing or scheduling for enterprises or organisations
- G06Q10/06312—Adjustment or analysis of established resource schedule, e.g. resource or task levelling, or dynamic rescheduling
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q50/00—Information and communication technology [ICT] specially adapted for implementation of business processes of specific business sectors, e.g. utilities or tourism
- G06Q50/06—Energy or water supply
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
- Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
- Y04S10/00—Systems supporting electrical power generation, transmission or distribution
- Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications
Landscapes
- Business, Economics & Management (AREA)
- Engineering & Computer Science (AREA)
- Human Resources & Organizations (AREA)
- Economics (AREA)
- Theoretical Computer Science (AREA)
- Physics & Mathematics (AREA)
- Strategic Management (AREA)
- General Physics & Mathematics (AREA)
- Entrepreneurship & Innovation (AREA)
- General Business, Economics & Management (AREA)
- Marketing (AREA)
- Tourism & Hospitality (AREA)
- Health & Medical Sciences (AREA)
- Educational Administration (AREA)
- Operations Research (AREA)
- Public Health (AREA)
- Development Economics (AREA)
- Primary Health Care (AREA)
- General Health & Medical Sciences (AREA)
- Game Theory and Decision Science (AREA)
- Water Supply & Treatment (AREA)
- Quality & Reliability (AREA)
- Computer Hardware Design (AREA)
- Evolutionary Computation (AREA)
- Geometry (AREA)
- General Engineering & Computer Science (AREA)
- Wind Motors (AREA)
Abstract
本发明涉及一种考虑海上风电场疲劳分布均匀性的发电检修联合调度方法,包括以下步骤:1)通过尾流影响关联矩阵以及风电机组检修状态,建立新的尾流模型;2)建立考虑海上风电场疲劳分布均匀性的发电和检修联合调度数学模型;3)采用混合整数线性规划法以及混合整数二阶锥规划法将发电和检修联合调度数学模型中各非线性部分转化为线性,并通过松弛法形成混合整数线性规划模型;4)对多目标函数运用约束法进行处理,将模型转化为单目标模型,并对单目标模型进行求解,最终获取经济效益最优的发电和检修调度方案后进行海上风电场机组的联合调度。与现有技术相比,本发明具有求解高效、选择性多、计及任意风向尾流、适用范围广等优点。
The present invention relates to a power generation maintenance joint scheduling method considering the fatigue distribution uniformity of offshore wind farms, comprising the following steps: 1) establishing a new wake model through the wake influence correlation matrix and the maintenance state of the wind turbine; 2) establishing a new wake model considering the offshore wind farm The mathematical model of power generation and maintenance joint dispatching for the uniformity of wind farm fatigue distribution; 3) The mixed integer linear programming method and the mixed integer second-order cone programming method are used to convert the nonlinear parts of the power generation and maintenance joint dispatch mathematical model into linear, and The mixed integer linear programming model is formed by the relaxation method; 4) The multi-objective function is processed by the constraint method, the model is converted into a single-objective model, and the single-objective model is solved, and finally the power generation and maintenance scheduling scheme with the optimal economic benefit is obtained. Then the joint dispatch of offshore wind farm units is carried out. Compared with the prior art, the present invention has the advantages of high efficiency in solving, many selectivity, taking into account the wake of any wind direction, and wide application range.
Description
技术领域technical field
本发明涉及海上风电场检修调度领域,尤其是涉及一种考虑海上风电场疲劳分布均匀性的发电检修联合调度方法。The invention relates to the field of maintenance and scheduling of offshore wind farms, in particular to a combined scheduling method for power generation and maintenance considering the uniformity of fatigue distribution of offshore wind farms.
背景技术Background technique
海上风电发电和检修联合调度的主要目的是在检修调度周期内安排适当的检修策略以降低出海检修成本并且保证风电场发电量较大,从而为风电场带来显著的经济效益。然而由于海上恶劣环境的影响,风电机组在执行检修作业时需要考虑天气、潮汐、人员安排等因素,并且在其运行过程中,海上风向不断变化,机组间的尾流效应发生改变,机组有功出力受到影响,这使得此问题的建模和求解变得复杂。为了简化尾流效应对风电场有功出力的影响,一些文献仅计算单个风向或固定的几个风向下的尾流效应来得出风电场整体的有功出力。这对于实际中海上风向任意变化的情况过于简略而不能较为准确地表达检修周期内风电场整体的发电量。The main purpose of the joint dispatch of offshore wind power generation and maintenance is to arrange an appropriate maintenance strategy during the maintenance dispatch period to reduce the cost of overseas maintenance and ensure that the wind farm generates a large amount of power, thereby bringing significant economic benefits to the wind farm. However, due to the impact of the harsh offshore environment, wind turbines need to consider factors such as weather, tides, and personnel arrangements when performing maintenance operations. During the operation, the offshore wind direction changes constantly, the wake effect between the units changes, and the active power output of the units is changed. affected, which complicates the modeling and solution of this problem. In order to simplify the influence of the wake effect on the active power output of the wind farm, some literatures only calculate the wake effect in a single wind direction or several fixed wind directions to obtain the overall active power output of the wind farm. This is too simplistic for the actual situation where the offshore wind direction changes arbitrarily and cannot more accurately express the overall power generation of the wind farm during the maintenance period.
为了使得海上风电的运行具有更好的经济效益,一些学者和专家结合经济性提出了海上风电的检修策略或者对提高海上风电场有功出力的方法进行了讨论。然而这些模型均未将检修计划与发电计划相结合来考虑海上风电运行的经济性。并且由于风电机组发电过程中会产生疲劳,疲劳过大会影响机组运行可靠性,在检修策略中考虑风电场的疲劳分布将为决策者提供更多决策支持。In order to make the operation of offshore wind power have better economic benefits, some scholars and experts have put forward the maintenance strategy of offshore wind power or discussed the methods of improving the active power output of offshore wind farms. However, none of these models combine maintenance schedules with power generation schedules to consider the economics of offshore wind operation. In addition, due to the fatigue of wind turbines during power generation, excessive fatigue will affect the reliability of turbine operation. Considering the fatigue distribution of wind farms in the maintenance strategy will provide decision makers with more decision support.
此外,机组检修时处于停运状态,并不吸收风能,其下风向风机受到尾流影响变小,并且考虑到风向的任意性,在计算有功出力时,风电机组的相对位置动态变化,所建模型中既包含连续变量,又有离散变量,建模难度增加,模型求解更为困难。一些学者采用智能算法求解此类多约束非线性复杂问题,但其易使解陷入局部极值点。而混合整数规划法在处理此类问题时具有充分理论支撑,并在处理含离散变量的问题中具有较大优势,其关键在于对非线性模型的处理。In addition, the unit is out of operation during maintenance and does not absorb wind energy. The downwind fan is less affected by the wake, and considering the arbitrary wind direction, when calculating the active power output, the relative position of the wind turbine changes dynamically. The model contains both continuous variables and discrete variables, which increases the difficulty of modeling and makes it more difficult to solve the model. Some scholars use intelligent algorithms to solve such multi-constrained nonlinear complex problems, but it is easy to make the solutions fall into local extreme points. The mixed integer programming method has sufficient theoretical support in dealing with such problems, and has great advantages in dealing with problems with discrete variables. The key lies in the processing of nonlinear models.
因此,急需一种考虑海上风电场疲劳分布均匀性的发电和检修联合调度方法,能够在考虑风电场的疲劳分布均匀性下对海上风电的发电和检修计划进行合理安排,来为风电场获取更优的经济效益并且为决策者提供更多决策支持。Therefore, there is an urgent need for a combined power generation and maintenance scheduling method that considers the fatigue distribution uniformity of offshore wind farms, which can reasonably arrange the power generation and maintenance plans of offshore wind power while considering the fatigue distribution uniformity of wind farms, so as to obtain better performance for wind farms. economic benefits and provide decision-makers with more decision-making support.
发明内容SUMMARY OF THE INVENTION
本发明的目的就是为了克服上述现有技术存在的缺陷而提供一种考虑海上风电场疲劳分布均匀性的发电检修联合调度方法。The purpose of the present invention is to provide a combined scheduling method for power generation and maintenance considering the uniformity of fatigue distribution of offshore wind farms in order to overcome the above-mentioned defects of the prior art.
本发明的目的可以通过以下技术方案来实现:The object of the present invention can be realized through the following technical solutions:
一种考虑海上风电场疲劳分布均匀性的发电检修联合调度方法,包括以下步骤:A joint scheduling method for power generation maintenance considering the uniformity of fatigue distribution of offshore wind farms, comprising the following steps:
1)通过尾流影响关联矩阵以及风电机组检修状态,建立新的尾流模型;1) Establish a new wake model through the wake influence correlation matrix and the maintenance status of the wind turbine;
2)建立考虑海上风电场疲劳分布均匀性的发电和检修联合调度数学模型;2) Establish a mathematical model of combined power generation and maintenance scheduling considering the uniformity of fatigue distribution of offshore wind farms;
3)采用混合整数线性规划法以及混合整数二阶锥规划法将模型中各非线性部分转化为线性,并通过松弛法形成混合整数线性规划模型;3) The mixed integer linear programming method and the mixed integer second-order cone programming method are used to convert the nonlinear parts of the model into linear ones, and the mixed integer linear programming model is formed by the relaxation method;
4)对多目标函数运用约束法进行处理,将模型转化为单目标模型,并对单目标模型进行求解,最终获取经济效益最优的发电和检修调度方案后进行海上风电场机组的联合调度。4) The multi-objective function is processed by the constraint method, the model is converted into a single-objective model, and the single-objective model is solved, and finally the power generation and maintenance scheduling plan with the optimal economic benefit is obtained, and then the joint dispatching of offshore wind farm units is carried out.
所述的步骤1)具体包括以下步骤:Described step 1) specifically comprises the following steps:
11)将风电机组输入风速分解为水平和竖直两个方向,则有:11) Decompose the input wind speed of the wind turbine into two directions, horizontal and vertical, as follows:
其中,j为风电场中风电机组索引变量,t为时段索引变量,vj,t为第j台风电机组WTj在时段Tt的输入风速,vhj,t、vvj,t分别表示第j台风电机组WTj在时段Tt的水平方向和竖直方向的输入风速;Among them, j is the wind turbine index variable in the wind farm, t is the time period index variable, v j,t is the input wind speed of the jth wind turbine WT j in the time period T t , vh j,t , vv j,t represent the j the input wind speed of the wind turbine WT j in the horizontal direction and the vertical direction in the time period T t ;
12)构建尾流影响关联矩阵,并在尾流模型中结合风电机组检修状态,获得水平方向和竖直方向的输入风速,则有:12) Construct the wake influence correlation matrix, and combine the maintenance status of the wind turbine in the wake model to obtain the input wind speed in the horizontal and vertical directions, as follows:
其中,i为风电场中风电机组索引变量,vt为时段Tt的海上风速,αt为时段Tt的风向,U1j,t,U3j,t分别为时段Tt下是否为边界机组的关联矩阵,当第j台风电机组在某时段下为边界机组时,矩阵中对应元素为1,否则为0,U2j,i,t为时段Tt下第i台风电机组对第j台风电机组在水平方向具有尾流影响的关联矩阵,当第i台风电机组对第j台风电机组存在水平方向的尾流效应时,矩阵中元素取值为1,否则为0,其中,第i台风电机组和第j台风电机组始终为相邻机组,U4j,i,t为时段Tt下在竖直方向具有尾流影响的关联矩阵,ki为由机组间距和叶轮直径确定的常数,为第i台风电机组WTi在时段Tt的推力系数,与风速有关,其值可由推力系数拟合曲线得到,xi,t为第i台风电机组WTi在时段Tt的检修状态变量,1表示处于检修,0表示正常运行。Among them, i is the index variable of the wind turbines in the wind farm, v t is the offshore wind speed in the time period T t , α t is the wind direction in the time period T t , U1 j,t , U3 j,t are the boundary units in the time period T t , respectively The correlation matrix of , when the jth wind turbine is a boundary unit in a certain time period, the corresponding element in the matrix is 1, otherwise it is 0, U2 j,i,t is the ith wind turbine under the time period T t to the jth typhoon The correlation matrix of the wake effect of the wind turbine in the horizontal direction. When the ith wind turbine has a horizontal wake effect on the jth wind turbine, the element in the matrix takes the value of 1, otherwise it is 0, where the ith wind turbine The typhoon generator unit and the jth wind generator unit are always adjacent units, U4 j,i,t is the correlation matrix with wake effects in the vertical direction at the time period T t , ki is a constant determined by the unit spacing and impeller diameter , is the thrust coefficient of the ith wind turbine WT i in the time period T t , which is related to the wind speed, and its value can be obtained from the thrust coefficient fitting curve, x i,t is the maintenance state variable of the i th wind turbine WT i in the time period T t , 1 means in maintenance, 0 means normal operation.
所述的步骤2)中,考虑海上风电场疲劳分布均匀性的发电和检修联合调度数学模型的目标函数以在整个调度时间范围内最小化检修成本f1,最大化发电量f2并且使得海上风电场疲劳分布f3最均匀,则有:In the described step 2), the objective function of the mathematical model of power generation and maintenance joint dispatch considering the uniformity of the fatigue distribution of the offshore wind farm is to minimize the maintenance cost f 1 in the entire dispatch time range, maximize the power generation f 2 and make the offshore wind farm. The wind farm fatigue distribution f3 is the most uniform, then:
其中,m为风电场中风电机组总台数,n为调度周期总时段数,为材料设备成本,为环境监测成本,为基础设施成本,为运输成本,为人力成本,为停机损失成本,LPi为检修WTi的持续时间段数量;Among them, m is the total number of wind turbines in the wind farm, n is the total number of time periods in the dispatch cycle, for the cost of materials and equipment, For environmental monitoring costs, for infrastructure costs, for transportation costs, for labor cost, is the cost of downtime loss, and LP i is the number of duration periods for overhauling WT i ;
其中,Pi,t为第i台风电机组WTi在时段Tt内的输出功率,tt为时段Tt的时长;Among them, P i,t is the output power of the i-th wind turbine WT i in the time period T t , and t t is the duration of the time period T t ;
其中,f3为时段Tn风电场各机组的疲劳系数标准差,Fi(n)为第i台风电机组WTi在时段Tn的疲劳系数,为时段Tn风电场各机组疲劳系数的平均值,Fi(t0)为第i台风电机组在调度周期开始前自身所累积的疲劳系数值,γ为机组的紊流疲劳损伤和发电疲劳损伤的比值,Wi,t为第i台风电机组WTi在时段Tt的发电量,Pi rate为风电机组的额定有功出力,为第i台风电机组WTi的服务寿命,为第i台风电机组WTi的维护补偿系数。Among them, f 3 is the standard deviation of the fatigue coefficient of each wind farm in the time period T n , F i (n) is the fatigue coefficient of the i-th wind turbine WT i in the time period T n , F i (t 0 ) is the fatigue coefficient value accumulated by the i- th wind turbine itself before the dispatch cycle begins, γ is the turbulent fatigue damage and power generation fatigue of the unit The damage ratio, Wi ,t is the power generation of the i-th wind turbine WT i in the time period T t , P i rate is the rated active power output of the wind turbine, is the service life of the i-th wind turbine WT i , is the maintenance compensation coefficient of the i-th wind turbine WT i .
所述的步骤2)中,考虑海上风电场疲劳分布均匀性的发电和检修联合调度数学模型的约束条件包括:In the step 2), the constraints of the mathematical model for the joint scheduling of power generation and maintenance considering the uniformity of the fatigue distribution of the offshore wind farm include:
风电机组有功出力约束:Wind turbine active output constraints:
其中,为第i台风电机组WTi在时段Tt输出功率的最小值,为第i台风电机组WTi在时段Tt输出功率的预测值;in, is the minimum value of the output power of the i-th wind turbine WT i in the time period T t , is the predicted value of the output power of the i-th wind turbine WT i in the time period T t ;
检修必要性约束:Overhaul necessity constraints:
其中,bi,t表示指示第i台风电机组WTi是否在Tt开始进入检修状态的决策变量,1为进入,0为不进入;Among them, b i,t represents the decision variable indicating whether the i-th wind turbine WT i starts to enter the maintenance state at T t , 1 means entering, 0 means not entering;
检修持续性约束:Overhaul persistence constraints:
xi,t≥bi,t x i,t ≥b i,t
xi,t-xi,t-1≤bi,t x i,t -x i,t-1 ≤bi ,t
xi,t+xi,t-1+bi,t≤2x i,t +x i,t-1 +b i,t ≤2
其中,当t=1时,xi,t-1=0;Wherein, when t=1, x i,t-1 =0;
检修持续时间约束:Overhaul Duration Constraints:
截止期限约束:Deadline constraints:
其中,Li为第i台风电机组WTi需要完成检修作业的最末时间段序号;Among them, Li is the serial number of the last time period during which the i -th wind turbine WT i needs to complete the maintenance operation;
天气约束:Weather constraints:
其中,U为由于海上天气原因不允许进行风电机检修的时间段集合;Among them, U is the set of time periods during which wind turbine maintenance is not allowed due to offshore weather;
人力约束:Manpower constraints:
其中,和分别为检修第i台风电机组WTi在运维船、直升机和陆地口岸上的人力需求量,AMt表示在时段Tt可用的人力数量;in, and are the manpower requirements for overhauling the i-th wind turbine WT i on the operation and maintenance ship, helicopter and land port, respectively, AM t represents the available manpower in the time period T t ;
运载工具约束:Vehicle Constraints:
其中,Vi和Hi分别为检修第i台风电机组WTi所需的运维船和直升机数量,AVt和AHt分别表示在时段Tt可用的运维船和直升机数量;Among them, Vi and H i are respectively the number of operation and maintenance ships and helicopters required to overhaul the i-th wind turbine WT i , and AV t and AH t respectively represent the number of available operation and maintenance ships and helicopters in time period T t ;
温室气体排放约束:Greenhouse Gas Emissions Constraints:
其中,Di表示口岸停靠点到第i台风电机组WTi的距离,qV和qH分别为运维船和直升机载重每千克行驶每千米所排放的温室气体的千克数,为员工的平均体重,和分别为维护第i台风电机组WTi由运维船和直升机运载的设备重量,GHG为行业制定的温室气体排放标准;Among them, D i represents the distance from the port stop to the i-th wind turbine WT i , q V and q H are the kilograms of greenhouse gases emitted per kilogram of operating and maintenance ships and helicopters traveling per kilogram, respectively, is the average weight of employees, and The weight of the equipment carried by the operation and maintenance ship and the helicopter for the maintenance of the i-th wind turbine WT i , the GHG emission standard for the industry formulated by GHG;
海洋环境约束:Marine Environmental Constraints:
其中,LVt为时段Tt海上空间允许活动的运维船数量;Among them, LV t is the number of operation and maintenance ships allowed to move in the maritime space during the period T t ;
鸟群约束:Flock Constraints:
其中,LHt为时段Tt海上空间允许活动的运维直升机数量;Among them, LH t is the number of operation and maintenance helicopters allowed to move in the maritime space during the period T t ;
夜晚检修约束:Night maintenance restrictions:
其中,Y为每日夜晚的时间段,AL表示夜晚允许出海检修的限制。Among them, Y is the time period of each day and night, and AL indicates the restriction on the maintenance allowed to go to sea at night.
所述的步骤4)具体包括以下步骤:Described step 4) specifically comprises the following steps:
41)分别求解检修成本目标函数f1最小化,发电量目标函数f2最大化以及风电场疲劳分布均匀性f3最小化的单目标模型,得到不同目标下的目标函数值以及决策变量,形成目标函数的决策属性表;41) Solve the single-objective model that minimizes the maintenance cost objective function f 1 , maximizes the power generation objective function f 2 and minimizes the wind farm fatigue distribution uniformity f 3 , and obtains the objective function values and decision variables under different objectives, forming The decision attribute table of the objective function;
42)通过决策属性表中的各单目标函数值确定约束值的取值范围,将其代入相应的目标函数进行约束限制,使目标函数转化为相应的约束条件,从而形成单目标模型;42) Determine the value range of the constraint value through the value of each single objective function in the decision attribute table, and substitute it into the corresponding objective function for constraint restriction, so that the objective function is converted into the corresponding constraint condition, thereby forming a single objective model;
43)对单目标模型进行求解,最终获取经济效益最优的发电和检修调度方案后进行海上风电场机组的联合调度。43) Solve the single-objective model, and finally obtain the most economical power generation and maintenance scheduling scheme, and then carry out the joint scheduling of offshore wind farm units.
与现有技术相比,本发明具有以下优点:Compared with the prior art, the present invention has the following advantages:
一、求解高效:混合整数线性规划法作为一种传统求解算法,其具有充分理论支撑,并且计算量小,速度快。1. Efficient solution: As a traditional solution algorithm, the mixed integer linear programming method has sufficient theoretical support, and the calculation amount is small and the speed is fast.
二、选择性多:本发明所获得的发电和检修联合调度方案在考虑海上风电场疲劳分布均匀性下将有更多选择,追求较均匀的疲劳分布所对应的经济效益会较低,这为决策者提供了选择性。2. More choices: The combined dispatching scheme of power generation and maintenance obtained by the present invention will have more choices considering the uniformity of the fatigue distribution of the offshore wind farm, and the economic benefits corresponding to the pursuit of a more uniform fatigue distribution will be lower, which is Policymakers offer choice.
三、计及任意风向尾流:风电机组间的尾流效应对机组输出功率有着较大影响,考虑任意风向的尾流更能准确地表达出实际工况下海上风电机组的输出功率,可以获得更合理的发电和检修联合调度方案。3. Taking into account the wake of any wind direction: the wake effect between wind turbines has a great influence on the output power of the wind turbines. Considering the wake of any wind direction can more accurately express the output power of the offshore wind turbines under the actual working conditions. A more reasonable joint scheduling scheme for power generation and maintenance.
四、适用范围广:所建的尾流模型和约束条件对于机组间距较大的海上风电场均可适用,并且约束条件对陆上风电场也同样适用。4. Wide range of application: The built wake model and constraints are applicable to offshore wind farms with large unit spacing, and the constraints are also applicable to onshore wind farms.
附图说明Description of drawings
图1为海上风电发电和检修联合调度方案求解流程图。Figure 1 is the flow chart for solving the joint dispatch scheme of offshore wind power generation and maintenance.
图2为海上风电机组布局图。Figure 2 shows the layout of offshore wind turbines.
图3为风电机组输出功率与风速关系图。Figure 3 is a graph showing the relationship between the output power of the wind turbine and the wind speed.
图4为调度周期内风速分布图。Fig. 4 is a distribution diagram of wind speed in the dispatch period.
图5为调度周期内风向分布直方图。Figure 5 is a histogram of wind direction distribution in the dispatch period.
图6为各场景下风电机组有功出力图。Figure 6 shows the active power output diagram of the wind turbine in each scenario.
图7为不同疲劳分布均匀性下的发电和检修综合经济效益图。Figure 7 shows the comprehensive economic benefits of power generation and maintenance under different fatigue distribution uniformity.
具体实施方式Detailed ways
下面结合附图和具体实施例对本发明进行详细说明。The present invention will be described in detail below with reference to the accompanying drawings and specific embodiments.
实施例Example
如图1所示,本发明提出了一种考虑海上风电场疲劳分布均匀性的发电和检修联合调度方法,本发明首先通过构建尾流影响关联矩阵并结合风电机组检修状态,建立任意风向的尾流模型,具体的建模步骤如下:As shown in Fig. 1, the present invention proposes a joint scheduling method for power generation and maintenance considering the uniformity of fatigue distribution of offshore wind farms. The present invention first establishes a wake influence correlation matrix and combines the maintenance status of wind turbines to establish the wake of any wind direction. Flow model, the specific modeling steps are as follows:
步骤1:将风电机组任意风向的输入风速分解为水平和竖直两个方向,那么此时风速计算式为:Step 1: Decompose the input wind speed of any wind direction of the wind turbine into two directions, horizontal and vertical, then the calculation formula of wind speed at this time is:
步骤2:构建尾流影响关联矩阵,并在尾流模型中结合风电机组检修状态,获得水平方向和竖直方向的输入风速:Step 2: Build the wake influence correlation matrix, and combine the maintenance status of the wind turbine in the wake model to obtain the input wind speed in the horizontal and vertical directions:
步骤3:风电场布局如图2所示,各机组的风速均可表达,式(2)等号右侧第一部分为风电场中边界非中间机组水平方向的风速,第二部分为非边界中间机组水平方向的风速,此二部分之和为风电场中边界中间机组水平方向的风速,式(3)则是对竖直方向风速的描述。Step 3: The layout of the wind farm is shown in Figure 2. The wind speed of each unit can be expressed. The first part on the right side of the equation (2) is the wind speed in the horizontal direction of the non-intermediate units in the boundary of the wind farm, and the second part is the non-boundary middle unit. The wind speed in the horizontal direction of the unit, the sum of these two parts is the wind speed in the horizontal direction of the middle unit in the boundary of the wind farm, and Equation (3) is the description of the wind speed in the vertical direction.
其次,构建海上风电发电和检修联合调度的数学模型,该模型以调度时间范围内检修成本f1最小,发电量f2最大以及风电场疲劳分布f3最均匀为目标,同时满足发电和检修的多项约束条件。Secondly, a mathematical model for the joint dispatch of offshore wind power generation and maintenance is constructed. The model aims at the minimum maintenance cost f1, the maximum power generation f2 and the most uniform wind farm fatigue distribution f3 within the dispatching time range, while satisfying the requirements of power generation and maintenance. Multiple constraints.
然后,针对所建立的考虑海上风电场疲劳分布均匀性的发电和检修联合调度模型进行线性化处理,以使其成为混合整数线性规划模型用于求解。Then, linearize the established joint scheduling model of power generation and maintenance considering the uniformity of fatigue distribution of offshore wind farms, so as to make it a mixed integer linear programming model for solving.
上述的线性化处理主要针对风电机组输出功率,风电场疲劳分布均匀性以及尾流模型的线性化这几个方面展开,具体过程如下:The above linearization processing is mainly carried out for the output power of the wind turbine, the uniformity of the fatigue distribution of the wind farm and the linearization of the wake model. The specific process is as follows:
步骤4:针对风电机组输出功率与风速的关系,如图3所示,利用混合整数线性规划法将风电机组输出功率线性化:Step 4: According to the relationship between the output power of the wind turbine and the wind speed, as shown in Figure 3, use the mixed integer linear programming method to linearize the output power of the wind turbine:
P=δ3Prate+IF2z2 (23)P=δ 3 P rate +IF 2 z 2 (23)
s.t.v=δ2vin+δ3vr+z1+z2+z3 (24)stv=δ 2 v in +δ 3 v r +z 1 +z 2 +z 3 (24)
0≤z1≤vinδ1 (25)0≤z 1 ≤v in δ 1 (25)
0≤z2≤(vr-vin)δ2 (26)0≤z 2 ≤(v r -v in )δ 2 (26)
0≤z3≤(vout-vr)δ3 (27)0≤z 3 ≤(v out -v r )δ 3 (27)
δ1+δ2+δ3=1 (28)δ 1 +δ 2 +δ 3 =1 (28)
δ1,δ2,δ3={0,1} (29)δ 1 , δ 2 , δ 3 ={0,1} (29)
步骤5:将风电场风电机组疲劳分布均匀性线性化,先采用绝对值函数代替标准差来反映疲劳分布均匀性,那么函数f3成为:Step 5: Linearize the fatigue distribution uniformity of wind turbines in the wind farm, and first use the absolute value function instead of the standard deviation to reflect the fatigue distribution uniformity, then the function f3 becomes:
步骤6:将上述的绝对值进行线性化处理,那么可得Step 6: Linearize the above absolute value, then you can get
0≤a1i≤Md1i (34)0≤a1 i ≤Md1 i (34)
0≤a2i≤Md2i (35)0≤a2 i ≤Md2 i (35)
d1i+d2i=1 (36)d1 i +d2 i =1 (36)
步骤7:风电场疲劳分布均匀性f3可描述为Step 7: Wind farm fatigue distribution uniformity f3 can be described as
步骤8:对尾流模型线性化,先由推力系数拟合曲线得到与风速的关系,为简化计算,令Step 8: Linearize the wake model, first obtain from the thrust coefficient fitting curve The relationship with wind speed, in order to simplify the calculation, let
步骤9:将上述式子代入式(2),则式(2)等号右边第二部分化为:Step 9: Substitute the above formula into formula (2), then the second part on the right side of the equal sign of formula (2) becomes:
U2j,i,tvhi,t(1-ki(kwvhi,t+bw)(1-xi,t)) (39)U2 j,i,t vh i,t (1-k i (k w vh i,t +b w )(1-x i,t )) (39)
将此式展开后得到的非线性部分为:The nonlinear part obtained after expanding this formula is:
vhi,t(1-xi,t) (40)vh i,t (1-x i,t ) (40)
步骤10:对上述式(40)线性化处理,Step 10: Linearize the above formula (40),
vh1i,t=vhi,t(1-xi,t) (42)vh1 i,t = vh i,t (1-x i,t ) (42)
s.t. 0≤vh1i,t≤vhi,t (43)
(1-xi,t)M+vhi,t-M≤vh1i,t≤(1-xi,t)M (44)(1-x i,t )M+vh i,t -M≤vh1 i,t ≤(1-x i,t )M (44)
步骤11:利用混合整数二阶锥规划法对式(41)中的平方项线性化处理,并用松弛法对二阶锥近似描述以形成混合整数线性规划模型,令Step 11: Use the mixed-integer second-order cone programming method to linearize the square term in equation (41), and use the relaxation method to approximate the second-order cone to form a mixed-integer linear programming model, let
那么,So,
步骤12:平方项线性化后,参照式(40)的处理将式(41)线性化。同时,对式(1)和式(3)的线性化采用与式(2)同样的方法进行处理。Step 12: After the square term is linearized, the equation (41) is linearized with reference to the processing of the equation (40). Meanwhile, the linearization of formula (1) and formula (3) is processed in the same way as formula (2).
接着,运用约束法对多目标函数进行处理,将模型化为单目标模型。它可以将最重要的或是设计者最偏好的目标函数保留,作为单目标问题的目标函数,而将其它目标函数通过加一个限制域εi转变成约束条件。它能高效获得Pareto解集,在保证第r个目标的效益时,又能够很好地考虑到其他目标,在实际设计问题的求解中也较受欢迎,具体过程如下:Then, the multi-objective function is processed by the constraint method, and the model is transformed into a single-objective model. It can keep the most important objective function or the designer's most preferred objective function as the objective function of the single objective problem, and convert other objective functions into constraints by adding a restriction domain εi . It can efficiently obtain the Pareto solution set, while ensuring the benefit of the rth objective, it can also take into account other objectives, and it is also popular in solving practical design problems. The specific process is as follows:
步骤13:分别求解以上f1,f2,f3各单目标模型,得到不同目标下的目标函数值以及决策变量,形成目标函数的决策属性表,可见表1,其中带*表示以该目标函数为目标进行模型求解。Step 13: Solve the above single-objective models of f 1 , f 2 , and f 3 respectively, obtain the objective function values and decision variables under different objectives, and form the decision attribute table of the objective function, as shown in Table 1, where * indicates that the objective is The function solves the model for the target.
表1决策属性表Table 1 Decision attribute table
步骤14:通过表中数据确定εi(i=1,2,3)的取值范围,将其代入相应的目标函数进行约束限制,以使目标函数转化为相应的约束条件,从而形成单目标模型进行求解。Step 14: Determine the value range of ε i (i=1, 2, 3) through the data in the table, and substitute it into the corresponding objective function for constraints, so that the objective function can be transformed into corresponding constraints, thereby forming a single objective The model is solved.
步骤15:最后将所得的混合整数线性规划模型进行求解,以得到海上风电发电和检修联合调度方案。Step 15: Finally, the obtained mixed integer linear programming model is solved to obtain a joint dispatch scheme for offshore wind power generation and maintenance.
本方法首先通过尾流影响关联矩阵对任意风向下的尾流效应进行建模,然后构建考虑疲劳分布均匀性的海上风电发电和检修联合调度数学模型,运用混合整数线性规划法以及混合整数二阶锥规划法对模型中非线性部分进行处理,并通过松弛法最终形成混合整数线性规划模型,提高了求解效率,同时采用约束法将多目标函数转化成单目标以高效获得Pareto解集。本发明提出的方法考虑到调度周期内海上风向的变化,并在计算尾流时将检修状态也考虑在内,通过引入海上风电场疲劳分布均匀性,可为决策者提供更多可供选择的发电和检修联合调度方案,对某海上风电场机组的发电检修联合调度表明本发明所提方法的可行性和有效性。In this method, the wake effect of any wind direction is firstly modeled by the wake effect correlation matrix, and then a mathematical model for the joint dispatch of offshore wind power generation and maintenance considering the uniformity of fatigue distribution is constructed. The mixed integer linear programming method and the mixed integer two The order cone programming method processes the nonlinear part of the model, and finally forms a mixed integer linear programming model through the relaxation method, which improves the solution efficiency. At the same time, the constraint method is used to convert the multi-objective function into a single objective to obtain the Pareto solution set efficiently. The method proposed by the invention takes into account the change of the offshore wind direction during the dispatch period, and also takes the maintenance state into account when calculating the wake. By introducing the uniformity of the fatigue distribution of the offshore wind farm, it can provide decision makers with more options for selection. The joint scheduling scheme of power generation and maintenance shows the feasibility and effectiveness of the method proposed in the present invention.
具体应用场景1:对如图2所示布局的海上风电场进行算例仿真,共有10行3列30台风电机组,在规定的周期(一周共168个时段)内对海上风电场进行发电检修联合调度,此一周内风速分布如图4所示,风向如图5概率分布。选取第4日风速并基于以下4个场景分析风向的变化对机组间尾流效应产生的影响,场景1:风向为0°。场景2:风向为90°。场景3:风向为30°。场景4:风向在0°到360°之间变化,按图5概率分布,如表2所示。利用本发明提出的尾流模型对上述场景下各机组的有功出力进行求解,结果如图6所示。从图中可得场景4各风电机组的有功出力较为均匀,且其相比场景2更符合海上风电机组的实际运行工况,本发明所提出的模型和方法能够适应实际中海上风速风向变化的情况,并且采用不同的风速风向能更客观地描述出实际情况下风电场的有功出力,以更准确地描述海上风电场在此周期内的发电量。Specific application scenario 1: Simulation of an offshore wind farm with a layout as shown in Figure 2. There are 30 wind turbines in 10 rows and 3 columns, and the offshore wind farm is subjected to power generation maintenance within a specified period (168 periods in a week). For joint dispatch, the distribution of wind speed in this week is shown in Figure 4, and the probability distribution of wind direction is shown in Figure 5. Select the wind speed on the 4th day and analyze the influence of the change of wind direction on the wake effect between units based on the following 4 scenarios. Scenario 1: The wind direction is 0°. Scenario 2: The wind direction is 90°. Scenario 3: The wind direction is 30°. Scenario 4: The wind direction varies between 0° and 360°, according to the probability distribution in Figure 5, as shown in Table 2. The active power output of each unit in the above scenario is solved by using the wake model proposed by the present invention, and the result is shown in Fig. 6 . It can be seen from the figure that the active power output of each wind turbine in scenario 4 is relatively uniform, and compared with
表2不同时段下风向变化表Table 2 Variation of downwind direction at different time periods
具体应用场景2:利用本发明所提模型对海上风电场中10台机组进行发电检修调度,在考虑海上风电场疲劳分布均匀性下的发电检修综合经济效益有所不同,结合约束法得到的Pareto解的分布如图7所示,各疲劳分布均匀性下经济效益最优的点已在图中标出,每个点都会对应一种发电检修方案。显然调度周期内采取的方案使得海上风电场疲劳分布均匀性较优时,综合经济效益会较低。追求良好的海上风电场疲劳分布均匀性,会使得风电场发电量受到限制,并且需要花费更多的检修成本才能实现相应的策略,这将为决策者在制定调度方案时提供更多的选择性和更好的决策支持。Specific application scenario 2: Use the model proposed in the present invention to perform power generation maintenance scheduling for 10 units in an offshore wind farm. Considering the uniformity of the fatigue distribution of the offshore wind farm, the comprehensive economic benefits of power generation maintenance are different. The Pareto The distribution of the solution is shown in Figure 7. The points with the best economic benefits under the uniformity of each fatigue distribution have been marked in the figure, and each point corresponds to a power generation maintenance plan. Obviously, when the scheme adopted in the dispatch period makes the fatigue distribution uniformity of the offshore wind farm better, the comprehensive economic benefits will be lower. Pursuing a good uniformity of fatigue distribution in offshore wind farms will limit the power generation of wind farms and require more maintenance costs to implement corresponding strategies, which will provide decision makers with more options when formulating dispatch plans and better decision support.
Claims (4)
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201910329660.7A CN110033204B (en) | 2019-04-23 | 2019-04-23 | Combined scheduling method for power generation maintenance considering fatigue distribution uniformity of offshore wind farms |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201910329660.7A CN110033204B (en) | 2019-04-23 | 2019-04-23 | Combined scheduling method for power generation maintenance considering fatigue distribution uniformity of offshore wind farms |
Publications (2)
Publication Number | Publication Date |
---|---|
CN110033204A CN110033204A (en) | 2019-07-19 |
CN110033204B true CN110033204B (en) | 2021-03-02 |
Family
ID=67239851
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN201910329660.7A Active CN110033204B (en) | 2019-04-23 | 2019-04-23 | Combined scheduling method for power generation maintenance considering fatigue distribution uniformity of offshore wind farms |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN110033204B (en) |
Families Citing this family (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN111027807B (en) * | 2019-11-12 | 2024-02-06 | 国网河北省电力有限公司经济技术研究院 | A method for site selection and capacity determination of distributed power generation based on power flow linearization |
CN112990674A (en) * | 2021-03-01 | 2021-06-18 | 哈尔滨工程大学 | Multi-target operation scheduling method for offshore floating wind power plant |
CN114021783B (en) * | 2021-10-22 | 2025-06-20 | 国网冀北电力有限公司 | A two-stage monthly unit commitment and maintenance plan optimization method considering social carbon emission factors and short-term benefits |
CN114676546B (en) * | 2021-12-09 | 2025-03-07 | 国家电网有限公司华北分部 | Method and device for determining wind turbine distribution in a wind farm |
CN114239372B (en) * | 2021-12-15 | 2024-07-19 | 华中科技大学 | Multi-objective unit maintenance double-layer optimization method and system considering unit combination |
CN114611787A (en) * | 2022-03-09 | 2022-06-10 | 国网上海市电力公司 | Method for determining optimal chemical energy storage capacity of multi-target offshore wind farm |
Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN105048444A (en) * | 2014-08-14 | 2015-11-11 | 国家电网公司 | Method for determining wind power curtailment at wind farm based on anemometer data of anemometer tower |
CN108536907A (en) * | 2018-03-01 | 2018-09-14 | 华北电力大学 | A kind of Wind turbines far field wake flow Analytic modeling method based on simplified momentum theorem |
Family Cites Families (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
DE102011011466A1 (en) * | 2011-02-16 | 2012-08-16 | Voith Patent Gmbh | Hydraulic turbomachine |
US9696785B2 (en) * | 2013-12-28 | 2017-07-04 | Intel Corporation | Electronic device having a controller to enter a low power mode |
CN108286971B (en) * | 2017-10-18 | 2019-03-29 | 北京航空航天大学 | The control method that Inspector satellite based on MIXED INTEGER second order cone is evaded |
CN108547735B (en) * | 2018-04-17 | 2019-08-09 | 中南大学 | Comprehensive optimization control method for wind farm active power output and unit fatigue |
-
2019
- 2019-04-23 CN CN201910329660.7A patent/CN110033204B/en active Active
Patent Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN105048444A (en) * | 2014-08-14 | 2015-11-11 | 国家电网公司 | Method for determining wind power curtailment at wind farm based on anemometer data of anemometer tower |
CN108536907A (en) * | 2018-03-01 | 2018-09-14 | 华北电力大学 | A kind of Wind turbines far field wake flow Analytic modeling method based on simplified momentum theorem |
Also Published As
Publication number | Publication date |
---|---|
CN110033204A (en) | 2019-07-19 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN110033204B (en) | Combined scheduling method for power generation maintenance considering fatigue distribution uniformity of offshore wind farms | |
CN109301818B (en) | A dispatching method for wide-area distributed energy storage system considering the demand for peak regulation and voltage regulation | |
CN111310972B (en) | A stochastic planning method for maintenance paths of offshore wind turbines considering wake effects | |
Ait Alla et al. | Simulation-based aggregate installation planning of offshore wind farms | |
CN110175684A (en) | A kind of marine wind electric field O&M method and device | |
Kamarposhti et al. | Effect of wind penetration and transmission line development in order to reliability and economic cost on the transmission system connected to the wind power plant | |
US20160025071A1 (en) | Method of computing theoretical power of wind farm based on sample wind turbine method | |
Ge et al. | Optimization of maintenance scheduling for offshore wind turbines considering the wake effect of arbitrary wind direction | |
CN104779611A (en) | Economic dispatch method for micro grid based on centralized and distributed double-layer optimization strategy | |
CN115693727B (en) | Harbor-ship multi-energy fusion system and multi-level energy management method thereof | |
CN114336767A (en) | Data-driven robust optimization scheduling implementation method based on multi-affine strategy | |
Chen et al. | Research on wind power prediction method based on convolutional neural network and genetic algorithm | |
CN110909994A (en) | Power generation forecast method of small hydropower group based on big data | |
CN105281372A (en) | Multi-target multi-main-body distributed game optimization method for distributed energy sources | |
Lu et al. | Wind power forecast by using improved radial basis function neural network | |
CN108764755A (en) | A kind of wind power plant operation benefits synthesis real-time estimating method | |
CN105631549B (en) | Virtual plant distributed model predictive control method under active distribution network environment | |
Devezas et al. | How Green Is the Green Energy Transition? On the Road to Decarbonization | |
CN107221964B (en) | A kind of dynamic positioning ocean platform multiple generator group scheduling method | |
Lin et al. | Research on the Speed Optimization Model Based on BP Neural Network and Genetic Algorithm (GA) | |
CN113239630B (en) | Wind resource-influenced mobile energy network power generation and voyage optimization method and system | |
Gao et al. | Optimal voyage and power dispatch of all-electric ship using improved piecewise linearization method | |
CN111799842B (en) | A multi-stage transmission network planning method and system considering the flexibility of thermal power units | |
CN116307096A (en) | Corridor sequence quadratic programming-based intermediate-long-term scheduling algorithm for cascade reservoirs | |
CN115688007A (en) | New energy output modeling method based on data driving |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PB01 | Publication | ||
PB01 | Publication | ||
SE01 | Entry into force of request for substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
GR01 | Patent grant | ||
GR01 | Patent grant |