CN115659612A - Method for predicting residual life of offshore wind turbine generator with typhoon influence taken into consideration - Google Patents
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Abstract
本发明涉及一种考虑台风影响的海上风电机组剩余寿命预测方法,包括:基于台风对机组部件退化的影响机理,构建台风冲击下部件故障率增量模型;结合机组运行状态监测数据,构建部件运行状态的退化与冲击相关性模型,量化承受外部冲击的能力;基于台风随机冲击导致机组性能退化的时变随机性特点,构建考虑退化与冲击相依的海上风电机组部件时变故障率模型,并基于该模型,在台风冲击场景下,构建机组部件剩余寿命预测模型,采用粒子群优化算法,以预测误差最小优化参数,得到优化剩余寿命预测模型;基于实时数据修正优化剩余寿命预测模型并实现剩余寿命预测。与现有技术相比,本发明具有寿命预测准确率高等优点。
The invention relates to a method for predicting the remaining life of an offshore wind turbine considering the influence of a typhoon. The state degradation and shock correlation model quantifies the ability to withstand external shocks; based on the time-varying randomness of the performance degradation of the unit performance caused by typhoon random shocks, a time-varying failure rate model of offshore wind turbine components considering the dependence of degradation and shocks is constructed, and based on In this model, under the scenario of typhoon impact, the remaining life prediction model of unit components is constructed, and the particle swarm optimization algorithm is used to optimize the parameters with the minimum prediction error to obtain an optimized remaining life prediction model; based on real-time data, the remaining life prediction model is corrected and optimized to realize the remaining life predict. Compared with the prior art, the present invention has the advantages of high life prediction accuracy and the like.
Description
技术领域technical field
本发明涉及海上风电机组寿命预测领域,尤其是涉及一种考虑台风影响的海上风电机组剩余寿命预测方法。The invention relates to the field of life prediction of offshore wind turbines, in particular to a method for predicting the remaining life of offshore wind turbines considering the influence of typhoons.
背景技术Background technique
海上风电是加速推进我国实现“3060”双碳战略的重要力量,海上风电机组的高可靠运行是大规模海上风电可持续发展的关键因素。准确预测海上风电机组剩余寿命对降低突发失效风险及高可靠运行、高效率维护决策具有重要的理论意义和工程应用价值。我国海上风电规模化、集群化发展的沿海地区受到台风等恶劣天气影响严重,台风带来的狂风、巨浪,给海上风电机组剩余寿命的准确预测带来了巨大的挑战。Offshore wind power is an important force to accelerate my country's realization of the "3060" dual-carbon strategy, and the highly reliable operation of offshore wind turbines is a key factor for the sustainable development of large-scale offshore wind power. Accurately predicting the remaining life of offshore wind turbines has important theoretical significance and engineering application value for reducing the risk of sudden failure and making high-reliability operation and high-efficiency maintenance decisions. The coastal areas where large-scale and clustered development of offshore wind power in my country are severely affected by severe weather such as typhoons. The strong winds and huge waves brought by typhoons have brought huge challenges to the accurate prediction of the remaining life of offshore wind turbines.
现有的海上风电机组寿命预测方面的研究,主要存在以下两个问题:1)以往在风电机组剩余寿命预测的研究中,通常基于机组自然退化过程,假设机组性能随时间逐步劣化,忽略了客观存在的海上台风天气的随机冲击影响,难以准确描述海上恶劣运行环境下机组实际退化的演化规律。2)在海上多源多维运维大数据背景下,准确刻画机组随机冲击与退化状态的关联关系,对机组失效过程精确建模及剩余寿命预测不确定性量化问题仍有待解决。The existing research on life prediction of offshore wind turbines mainly has the following two problems: 1) In the past, in the research on the remaining life prediction of wind turbines, it was usually based on the natural degradation process of the wind turbines, assuming that the performance of the turbines gradually deteriorates with time, ignoring the objective Due to the random impact of typhoon weather at sea, it is difficult to accurately describe the evolution law of the actual degradation of the unit under the harsh operating environment at sea. 2) Under the background of multi-source and multi-dimensional operation and maintenance big data at sea, the problems of accurately describing the relationship between random shock and degradation state of units, accurate modeling of unit failure process and uncertainty quantification of remaining life prediction still need to be solved.
发明内容Contents of the invention
本发明的目的就是为了提供一种考虑台风影响的海上风电机组剩余寿命预测方法,考虑台风天气下,保证最小化预测均方误差,实现机组部件状态与随机退化模型的交互联动,得到准确的海上风机的寿命预测值。The purpose of the present invention is to provide a method for predicting the remaining life of offshore wind turbines considering the influence of typhoons, to ensure that the mean square error of prediction is minimized under typhoon weather, to realize the interactive linkage between the state of the unit components and the random degradation model, and to obtain accurate offshore wind turbines. The lifetime prediction value of the wind turbine.
本发明的目的可以通过以下技术方案来实现:The purpose of the present invention can be achieved through the following technical solutions:
一种考虑台风影响的海上风电机组剩余寿命预测方法,包括以下步骤:A method for predicting the remaining life of an offshore wind turbine considering the impact of a typhoon, comprising the following steps:
基于台风对机组部件退化的影响机理,分析直接冲击和间接冲击对部件故障率的影响,构建台风冲击下部件故障率增量模型;Based on the impact mechanism of typhoon on unit component degradation, the impact of direct impact and indirect impact on component failure rate is analyzed, and an incremental model of component failure rate under typhoon impact is constructed;
针对部件退化过程与冲击关联性量化问题,结合机组运行状态监测数据,构建部件运行状态的退化与冲击相关性模型,量化承受外部冲击的能力;Aiming at the problem of quantifying the correlation between component degradation process and impact, combined with the monitoring data of unit operating status, construct a degradation and impact correlation model of component operating status to quantify the ability to withstand external impacts;
基于台风随机冲击导致机组性能退化的时变随机性特点,结合台风冲击下部件故障率增量模型和退化与冲击相关性模型,构建考虑退化与冲击相依的海上风电机组部件时变故障率模型;Based on the time-varying randomness of performance degradation caused by typhoon random impact, combined with the incremental model of component failure rate and the correlation model between degradation and impact under typhoon impact, a time-varying failure rate model of offshore wind turbine components is constructed considering the dependence of degradation and impact;
基于海上风电机组部件时变故障率模型,在台风冲击场景下,构建机组部件剩余寿命预测模型,采用粒子群优化算法,以预测误差最小优化台风冲击下部件故障率增量模型和退化与冲击相关性模型的参数,得到优化剩余寿命预测模型;Based on the time-varying failure rate model of offshore wind turbine components, in the typhoon impact scenario, the remaining life prediction model of the unit components is constructed, and the particle swarm optimization algorithm is used to optimize the component failure rate increment model and the correlation between degradation and impact under the typhoon impact with the minimum prediction error The parameters of the performance model are used to obtain an optimized remaining life prediction model;
基于优化剩余寿命预测模型,结合台风冲击监测数据和机组实时运行状态监测数据修正优化剩余寿命预测模型并实现剩余寿命预测。Based on the optimized remaining life prediction model, combined with the typhoon impact monitoring data and unit real-time operating status monitoring data, the optimized remaining life prediction model is corrected and the remaining life prediction is realized.
所述台风冲击下部件故障率增量模型的构建包括以下步骤:The construction of the component failure rate incremental model under the impact of the typhoon includes the following steps:
获取台风多发区域内的台风数据;Obtain typhoon data in typhoon-prone areas;
构建Batts台风风场模型;Construct the Batts typhoon wind field model;
假设海上风电机组在运行期间遭受台风冲击的次数服从参数为λ的Poission过程,台风经过风电场前后过程中台风风场模型保持不变,采用蒙特卡洛抽样方法得到每个典型台风冲击概率,建立台风随机冲击模型;Assuming that the number of typhoon shocks encountered by offshore wind turbines during operation obeys the Poission process with a parameter of λ, and the typhoon wind field model remains unchanged before and after the typhoon passes through the wind farm, the Monte Carlo sampling method is used to obtain the probability of each typical typhoon shock, and the establishment Typhoon random impact model;
基于台风随机冲击模型,分析直接冲击和间接冲击对部件故障率的影响,构建台风冲击下部件故障率增量模型。Based on the random impact model of typhoon, the influence of direct impact and indirect impact on component failure rate is analyzed, and the incremental model of component failure rate under typhoon impact is constructed.
所述台风随机冲击模型为:The typhoon random impact model is:
其中,P(N(t)=n)表示在(0,t)内台风发生n次冲击的概率,λ为台风的到达率,fG(tsi)为第i次冲击首次到达的所需时间tsi的概率密度,Γ(i)为伽马函数值;VRmax为最大风半径处的梯度风速,K为经验参数,取值范围为6.93~6.97,Δp为台风中心气压差,Rmax为最大风速半径,f为科式参数;v表示台风瞬时风速,Vs为台风移动速度;r为台风任意位置到台风中心的距离;x为经验参数,取值范围为0.5~0.7。Among them, P(N(t)=n) represents the probability of n times of typhoon impact within (0, t), λ is the arrival rate of typhoon, f G (t si ) is the required time for the first arrival of the i-th impact Probability density at time t si , Γ(i) is the gamma function value; V Rmax is the gradient wind speed at the maximum wind radius, K is an empirical parameter, the value range is 6.93-6.97, Δp is the typhoon center pressure difference, R max is the radius of the maximum wind speed, f is a scientific parameter; v is the instantaneous wind speed of the typhoon, V s is the moving speed of the typhoon; r is the distance from any position of the typhoon to the center of the typhoon; x is an empirical parameter, and its value ranges from 0.5 to 0.7.
所述台风冲击下部件故障率增量模型为:The component failure rate incremental model under the impact of typhoon is:
其中,为部件退化与冲击相关性函数,表示部件k在运行状态为时受到冲击对故障率增量的影响,tsi和tei分别表示台风对机组冲击影响的首达时刻和解除时刻,α、ε为部件的台风直接或间接冲击修正系数,v为台风瞬时风速。in, is the component degradation and impact correlation function, which means that the component k is in the running state of t si and t ei represent the first arrival time and release time of the impact of typhoon on the unit, respectively, α and ε are the typhoon direct or indirect impact correction coefficients of components, and v is the typhoon instantaneous wind speed .
区分直接冲击和间接冲击的影响,直接冲击下的部件故障率增量模型表示为:Distinguishing the effects of direct shocks and indirect shocks, the component failure rate increment model under direct shocks is expressed as:
间接冲击下的部件故障率增量模型表示为:The incremental model of component failure rate under indirect shock is expressed as:
其中,Δλsk1i为台风直接冲击导致的机组外部部件故障率,αk1、εk1分别为台风直接冲击修正系数,w为垂直于风机表面上的风载荷,ρ为空气密度,Cs为形状系数,Sα为垂直于风向平面上的投影面积;Δλsk2i表示台风间接冲击导致的机组内部部件故障率,αk2、εk2分别为台风间接冲击修正系数,p为风机的功率,Cp为风能转换效率系数,λa为风机叶尖速比,βa为风机叶片的桨距角,ra为风机叶片半径。Among them, Δλ sk1i is the failure rate of external components of the unit caused by the direct impact of typhoon, α k1 and ε k1 are the correction coefficients of direct typhoon impact respectively, w is the wind load perpendicular to the surface of the fan, ρ is the air density, and C s is the shape coefficient , S α is the projected area on the plane perpendicular to the wind direction; Δλ sk2i represents the failure rate of the internal components of the unit caused by the indirect typhoon impact, α k2 and ε k2 are the correction coefficients of typhoon indirect impact respectively, p is the power of the fan, and C p is the wind energy Conversion efficiency coefficient, λ a is the tip speed ratio of the fan, β a is the pitch angle of the fan blade, and r a is the radius of the fan blade.
所述基于部件运行状态的退化与冲击相关性模型的构建包括以下步骤:The construction of the degradation and impact correlation model based on the operating state of the components includes the following steps:
获取海上风电机组历史运行监测数据;Obtain historical operation monitoring data of offshore wind turbines;
通过主成分聚类分析提取海上风电机组部件在不同运行工况下的健康状态特征,并根据其他状态与健康状态之间的差异值划分不同的部件状态;Extract the health state characteristics of offshore wind turbine components under different operating conditions through principal component cluster analysis, and divide different component states according to the difference between other states and health states;
根据不同工况下的部件状态划分结果以及历史状态演变过程,基于马尔可夫链状态转移过程,建立随机状态模型描述部件的历史状态转移过程,得到退化与冲击相关性模型。According to the component state division results and historical state evolution process under different working conditions, based on the Markov chain state transition process, a stochastic state model is established to describe the historical state transition process of components, and the degradation and impact correlation model is obtained.
所述退化与冲击相关性模型表示为:The degradation-shock correlation model is expressed as:
R=X'X/nq R=X'X/ nq
Y=XU=[Y1,Y2,…,Yq]Y=XU=[Y 1 ,Y 2 ,…,Y q ]
其中,为部件k的运行状态,为部件退化与冲击相关性函数,μ为状态量修正系数,风机的某一部件相关的SCADA数据标准化处理后的输入变量矩阵X包含q维初始参量,每维参量包含nq个样本,X'表示X的转置,相关系数矩阵R的特征方程有q个特征值,λ1≥λ2≥…≥λq,U=(U1,U2,…,Uq),为特征值对应的特征向量,Y为主成分,按照主成分方差从大到小的顺序进行排序,Yq为第q主成分,λji为工况j下第i个主成分对应的特征值,δ为累积方差贡献率,每类工况j的主成分分析结果按照累积方差贡献率大于δ选取ωj个主成分,π(tg)为监测点tg时刻风机部件各状态的概率分布,A为状态转移矩阵,Δt为任意时间间隔,t0为状态转移时间歩长,Sk为各状态量化值向量矩阵。in, is the operating state of component k, is the component degradation and impact correlation function, μ is the state quantity correction coefficient, the input variable matrix X after normalization processing of the SCADA data related to a certain component of the fan contains q-dimensional initial parameters, and each dimensional parameter contains n q samples, X' Represents the transposition of X, the characteristic equation of the correlation coefficient matrix R has q eigenvalues, λ 1 ≥λ 2 ≥…≥λ q , U=(U 1 ,U 2 ,…,U q ), which corresponds to the eigenvalues Eigenvector, Y is the main component, sorted according to the order of the principal component variance from large to small, Y q is the qth principal component, λ ji is the eigenvalue corresponding to the i-th principal component under working condition j, and δ is the cumulative variance Contribution rate, the principal component analysis results of each type of working condition j select ωj principal components according to the cumulative variance contribution rate greater than δ, π(t g ) is the probability distribution of each state of the fan component at the monitoring point t g , and A is the state transition matrix, Δt is an arbitrary time interval, t0 is the time step of state transition, and S k is the vector matrix of each state quantization value.
假设系统部件k的故障率λk由自然退化的故障率λ0k和遭受多次台风冲击导致的部件累积故障率增量Δλski(t)构成,机组部件的寿命为非负连续型随机变量,其自然退化过程采用威布尔分布描述,结合台风冲击下部件故障率增量模型和退化与冲击相关性模型,得到考虑退化与冲击相依的海上风电机组部件时变故障率模型:Assuming that the failure rate λ k of the system component k is composed of the natural degradation failure rate λ 0k and the component cumulative failure rate increment Δλ ski (t) caused by multiple typhoon impacts, the life of the unit component is a non-negative continuous random variable, The natural degradation process is described by Weibull distribution, combined with the component failure rate increment model under typhoon impact and the degradation and impact correlation model, the time-varying failure rate model of offshore wind turbine components considering the dependence of degradation and impact is obtained:
其中,i为台风冲击次数;N(t)为至t时刻台风冲击的累积次数;Di(t)为第i次台风期间t时刻的冲击幅值;为部件退化与冲击相关性函数,表示部件k在运行状态为时受到冲击对故障率增量的影响;tsi和tei分别表示台风对机组冲击影响的首达时刻和解除时刻;β为形状参数,η为尺度参数。Among them, i is the number of typhoon impacts; N(t) is the cumulative number of typhoon impacts up to time t; D i (t) is the impact amplitude at time t during the ith typhoon period; is the component degradation and impact correlation function, which means that the component k is in the running state of t si and t ei represent the first arrival time and release time of the typhoon’s impact on the unit, respectively; β is a shape parameter, and η is a scale parameter.
所述考虑退化与冲击相依的机组部件剩余寿命预测模型为:The remaining life prediction model of the unit components considering the dependence of degradation and impact is:
其中,部件可靠度Rk(t)表示部件正常运行时间大于t概率,P表示事件的概率,表示考虑随机台风冲击影响的部件故障率期望值函数,nz表示台风冲击场景的总次数,Z为台风冲击场景,单次台风冲击场景为台风最大风速半径、移动速度、中心气压差、最大风速半径处的风速和台风的移动方向的集合,z为台风冲击场景变量,T为部件发生故障的时刻,运行至t时刻部件剩余寿命为为剩余寿命期望值,x为剩余寿命时间变量,表示剩余寿命期望值的分布函数,为根据历史台风冲击下部件可靠度期望值函数,表示考虑随机台风冲击场景下的可靠度函数为的导函数,ts为使取t=0时剩余寿命期望值概率密度函数最大值对应的时刻,为可靠度故障阈值。Among them, the component reliability R k (t) represents the probability that the normal operation time of the component is greater than t, and P represents the probability of the event, Indicates the component failure rate expectation function considering the influence of random typhoon impact, n z indicates the total number of typhoon impact scenarios, Z is the typhoon impact scenario, and a single typhoon impact scenario is the typhoon maximum wind speed radius, moving speed, central air pressure difference, and maximum wind speed radius The set of the wind speed and the moving direction of the typhoon, z is the scene variable of typhoon impact, T is the time when the component fails, and the remaining life of the component at time t is is the expected value of remaining life, x is the time variable of remaining life, Remaining life expectancy distribution function of is the component reliability expectation function under the impact of historical typhoons, Represents the reliability function considering random typhoon impact scenarios for The derivative function of , t s is the probability density function of the expected value of the remaining life when t=0 The moment corresponding to the maximum value, is the reliability failure threshold.
通过对海上风电场中的风机某部件的寿命频次统计,利用极大似然估计方法,进行自然退化故障率模型参数估计,并在自然退化基础上,抽取nw台机组对台风冲击下部件故障率增量模型进行参数估计:Through the statistics of the life frequency of a certain component of the wind turbine in the offshore wind farm, the maximum likelihood estimation method is used to estimate the parameters of the natural degradation failure rate model, and on the basis of the natural degradation, the component failures of n w units under the impact of the typhoon are extracted Rate increment model for parameter estimation:
其中,β为形状参数,η为尺度参数,f0k(t)为威布尔分布概率密度密度分布函数,L(β,η)为似然函数,tz为部件寿命样本值,lnL(β,η)为对数似然函数,nc为样本容量,Uj为机组j的均方根误差,和yj(tgi)分别为机组j在监测点tgi时刻的剩余寿命估计值和剩余寿命实际值,ng为监测点的个数,nw为抽取的实验风机样本数量,为nw机组的平均均方根误差。Among them, β is the shape parameter, η is the scale parameter, f 0k (t) is the probability density distribution function of Weibull distribution, L(β,η) is the likelihood function, t z is the sample value of component life, lnL(β, η) is the logarithmic likelihood function, n c is the sample size, U j is the root mean square error of unit j, and y j (t gi ) are the estimated value of remaining life and the actual value of remaining life of unit j at the time of monitoring point t gi respectively, n g is the number of monitoring points, n w is the number of experimental fan samples drawn, is the average root mean square error of n w units.
与现有技术相比,本发明具有以下有益效果:Compared with the prior art, the present invention has the following beneficial effects:
(1)本发明考虑了台风随机冲击对预测结果的影响,建立了退化与冲击相依的海上风电机组部件时变故障率模型和部件故障率增量模型,能够准确描述海上恶劣运行环境下机组实际退化的演化规律。(1) The present invention takes into account the impact of typhoon random impact on the prediction results, and establishes a time-varying failure rate model and an incremental component failure rate model for components of offshore wind turbines that are dependent on degradation and impact, which can accurately describe the actual situation of the unit under the harsh operating environment at sea. The law of degenerate evolution.
(2)本发明建立了部件退化与冲击相关性模型,准确描述了随机冲击和退化状态的关联关系,并利用部件实际监测数据对剩余寿命预测模型进行修正,使得部件预测退化过程更符合实际退化过程,提高了寿命预测精度。(2) The present invention establishes a component degradation and impact correlation model, accurately describes the correlation between random impact and degradation state, and uses the actual monitoring data of the component to correct the remaining life prediction model, so that the predicted degradation process of the component is more in line with the actual degradation The process improves the accuracy of life prediction.
附图说明Description of drawings
图1为本发明的方法流程图;Fig. 1 is method flowchart of the present invention;
图2为台风冲击下海上风电机组部件故障率演化示意图;Figure 2 is a schematic diagram of the failure rate evolution of offshore wind turbine components under the impact of a typhoon;
图3为Batts台风风场模型及对海上风电场影响示意图;Figure 3 is a schematic diagram of the Batts typhoon wind field model and its impact on offshore wind farms;
图4为部件状态划分示意图;Fig. 4 is a schematic diagram of component status division;
图5为工况划分对主成分聚类分析结果的影响图;Fig. 5 is the diagram of the influence of working condition division on the results of principal component clustering analysis;
图6为随机台风冲击场景下机组部件剩余寿命示意图;Figure 6 is a schematic diagram of the remaining life of the unit components under the random typhoon impact scenario;
图7为粒子群优化算法进行参数估计的流程图;Fig. 7 is the flow chart that particle swarm optimization algorithm carries out parameter estimation;
图8为发电机电流变化与状态评估结果;Figure 8 shows the generator current change and state evaluation results;
图9为发电机随机状态量化期望值随运行时间的变化;Figure 9 is the variation of the quantized expected value of the random state of the generator with the running time;
图10为发电机剩余寿命期望值概率密度分布;Figure 10 is the probability density distribution of the remaining life expectancy of the generator;
图11为三种寿命预测方法可靠度变化过程;Figure 11 shows the reliability change process of the three life prediction methods;
图12为方法3修正过程对应的可靠度变化过程;Figure 12 is the reliability change process corresponding to the correction process of
图13为三种方法剩余寿命预测结果比较;Figure 13 is a comparison of the remaining life prediction results of the three methods;
图14为不同台风到达率λ下剩余寿命期望值概率密度曲线;Figure 14 is the probability density curve of the remaining life expectancy under different typhoon arrival rates λ;
图15为随机台风冲击次数对预测误差的影响。Figure 15 shows the impact of the number of random typhoon impacts on the forecast error.
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。本实施例以本发明技术方案为前提进行实施,给出了详细的实施方式和具体的操作过程,但本发明的保护范围不限于下述的实施例。The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments. This embodiment is carried out on the premise of the technical solution of the present invention, and detailed implementation and specific operation process are given, but the protection scope of the present invention is not limited to the following embodiments.
一种考虑台风影响的海上风电机组剩余寿命预测方法,如图1所示,包括以下步骤:A method for predicting the remaining life of offshore wind turbines considering the impact of typhoons, as shown in Figure 1, includes the following steps:
1)基于台风对机组部件退化的影响机理,分析直接冲击和间接冲击对部件故障率的影响,构建台风冲击下部件故障率增量模型。1) Based on the impact mechanism of typhoon on unit component degradation, the influence of direct impact and indirect impact on component failure rate is analyzed, and an incremental model of component failure rate under typhoon impact is constructed.
1-1)获取台风多发区域内的台风数据;1-1) Obtain typhoon data in typhoon-prone areas;
1-2)构建Batts台风风场模型;台风风场模型及对海上风电场影响示意图如图3所示;1-2) Build the Batts typhoon wind field model; the typhoon wind field model and the schematic diagram of the impact on the offshore wind farm are shown in Figure 3;
1-3)假设海上风电机组在运行期间遭受台风冲击的次数服从参数为λ的Poission过程,台风经过风电场前后过程中台风风场模型保持不变,采用蒙特卡洛抽样方法得到每个典型台风冲击概率,建立台风随机冲击模型;1-3) Assuming that the number of typhoon shocks encountered by offshore wind turbines during operation obeys the Poission process with parameter λ, and the typhoon wind field model remains unchanged before and after the typhoon passes through the wind farm, the Monte Carlo sampling method is used to obtain each typical typhoon Shock probability, establish a typhoon random shock model;
所述台风随机冲击模型为:The typhoon random impact model is:
其中,P(N(t)=n)表示在(0,t)内台风发生n次冲击的概率,λ为台风的到达率,fG(tsi)为第i次冲击首次到达的所需时间tsi的概率密度,Γ(i)为伽马函数值;VRmax为最大风半径处的梯度风速,K为经验参数,取值范围为6.93~6.97,Δp为台风中心气压差,Rmax为最大风速半径,f为科式参数;v表示台风瞬时风速,Vs为台风移动速度;r为台风任意位置到台风中心的距离;x为经验参数,取值范围为0.5~0.7。Among them, P(N(t)=n) represents the probability of n times of typhoon impact within (0, t), λ is the arrival rate of typhoon, f G (t si ) is the required time for the first arrival of the i-th impact Probability density at time t si , Γ(i) is the gamma function value; V Rmax is the gradient wind speed at the maximum wind radius, K is an empirical parameter, the value range is 6.93-6.97, Δp is the typhoon center pressure difference, R max is the radius of the maximum wind speed, f is a scientific parameter; v is the instantaneous wind speed of the typhoon, V s is the moving speed of the typhoon; r is the distance from any position of the typhoon to the center of the typhoon; x is an empirical parameter, and its value ranges from 0.5 to 0.7.
1-4)基于台风随机冲击模型,分析直接冲击和间接冲击对部件故障率的影响,构建台风冲击下部件故障率增量模型:1-4) Based on the random impact model of typhoon, analyze the influence of direct impact and indirect impact on component failure rate, and construct the incremental model of component failure rate under typhoon impact:
其中,为部件退化与冲击相关性函数,表示部件k在运行状态为时受到冲击对故障率增量的影响,tsi和tei分别表示台风对机组冲击影响的首达时刻和解除时刻,α、ε为部件的台风直接或间接冲击修正系数,v为台风瞬时风速。in, is the component degradation and impact correlation function, which means that the component k is in the running state of t si and t ei represent the first arrival time and release time of the impact of typhoon on the unit, respectively, α and ε are the typhoon direct or indirect impact correction coefficients of components, and v is the typhoon instantaneous wind speed .
区分直接冲击和间接冲击的影响,直接冲击下的部件故障率增量模型表示为:Distinguishing the effects of direct shocks and indirect shocks, the component failure rate increment model under direct shocks is expressed as:
间接冲击下的部件故障率增量模型表示为:The incremental model of component failure rate under indirect shock is expressed as:
其中,Δλsk1i为台风直接冲击导致的机组外部部件故障率,αk1、εk1分别为台风直接冲击修正系数,w为垂直于风机表面上的风载荷,ρ为空气密度,Cs为形状系数,Sα为垂直于风向平面上的投影面积;Δλsk2i表示台风间接冲击导致的机组内部部件故障率,αk2、εk2分别为台风间接冲击修正系数,p为风机的功率,Cp为风能转换效率系数,λa为风机叶尖速比,βa为风机叶片的桨距角,ra为风机叶片半径。Among them, Δλ sk1i is the failure rate of external components of the unit caused by the direct impact of typhoon, α k1 and ε k1 are the correction coefficients of direct typhoon impact respectively, w is the wind load perpendicular to the surface of the fan, ρ is the air density, and C s is the shape coefficient , S α is the projected area on the plane perpendicular to the wind direction; Δλ sk2i represents the failure rate of the internal components of the unit caused by the indirect typhoon impact, α k2 and ε k2 are the correction coefficients of typhoon indirect impact respectively, p is the power of the fan, and C p is the wind energy Conversion efficiency coefficient, λ a is the tip speed ratio of the fan, β a is the pitch angle of the fan blade, and r a is the radius of the fan blade.
本实施例以我国某海上风电场为例,该海上风电场包含36台3MW风机,按4排9列规划布局,风机南北向间距0.5km,东西向间距1km。In this embodiment, an offshore wind farm in my country is taken as an example. The offshore wind farm includes 36 3MW wind turbines arranged in 4 rows and 9 columns. The distance between the wind turbines is 0.5 km in the north-south direction and 1 km in the east-west direction.
基于历史台风年鉴以及该风电场对历史台风过程监测数据的统计,得到台风随机冲击模型参数估计值如表1所示。Based on the historical typhoon yearbook and the wind farm's statistics on historical typhoon process monitoring data, the estimated values of typhoon random impact model parameters are shown in Table 1.
表1台风模型参数估计值Table 1 Estimated values of typhoon model parameters
2)针对部件退化过程与冲击关联性量化问题,结合机组运行状态监测数据,构建部件运行状态的退化与冲击相关性模型,量化承受外部冲击的能力。2) Aiming at the problem of quantifying the correlation between component degradation process and impact, combined with the monitoring data of unit operating status, a correlation model between degradation and impact of component operating status is constructed to quantify the ability to withstand external impacts.
2-1)获取海上风电机组历史运行监测数据;2-1) Obtain historical operation monitoring data of offshore wind turbines;
2-2)通过主成分聚类分析提取海上风电机组部件在不同运行工况下的健康状态特征,并根据其他状态与健康状态之间的差异值划分不同的部件状态;2-2) Extract the health state characteristics of offshore wind turbine components under different operating conditions through principal component cluster analysis, and divide different component states according to the difference between other states and the healthy state;
2-3)根据不同工况下的部件状态划分结果以及历史状态演变过程,基于马尔可夫链状态转移过程,建立随机状态模型描述部件的历史状态转移过程,得到退化与冲击相关性模型。2-3) According to the state division results of components under different working conditions and the historical state evolution process, based on the Markov chain state transition process, a stochastic state model is established to describe the historical state transition process of components, and the degradation and impact correlation model is obtained.
采用马尔可夫链状态转移过程描述部件随机状态状态模型在台风天气的随机扰动下,随着机组部件随机失效状态的加剧,部件对外部冲击愈发敏感,承受冲击的能力逐步下降。部件退化与冲击相关性函数为单调递增函数。Using Markov Chain State Transition Process to Describe the Stochastic State Model of Components Under the random disturbance of typhoon weather, with the aggravation of the random failure state of unit components, the components become more sensitive to external shocks, and the ability to withstand shocks gradually decreases. Component Degradation and Shock Correlation Function is a monotonically increasing function.
所述退化与冲击相关性模型表示为:The degradation-shock correlation model is expressed as:
R=X'X/nq R=X'X/ nq
Y=XU=[Y1,Y2,…,Yq]Y=XU=[Y 1 ,Y 2 ,…,Y q ]
其中,为部件k的运行状态,为部件退化与冲击相关性函数,μ为状态量修正系数,风机的某一部件相关的SCADA数据标准化处理后的输入变量矩阵X包含q维初始参量,每维参量包含nq个样本,X'表示X的转置,相关系数矩阵R的特征方程有q个特征值,λ1≥λ2≥…≥λq,U=(U1,U2,…,Uq),为特征值对应的特征向量,Y为主成分,按照主成分方差从大到小的顺序进行排序,Yq为第q主成分,Y1为第一主成分,具有最大方差,能够解释数据的大部分信息,λji为工况j下第i个主成分对应的特征值,δ为累积方差贡献率,每类工况j的主成分分析结果按照累积方差贡献率大于δ选取ωj个主成分,π(tg)为监测点tg时刻风机部件各状态的概率分布,A为状态转移矩阵,Δt为任意时间间隔,t0为状态转移时间歩长,Sk为各状态量化值向量矩阵。in, is the operating state of component k, is the component degradation and impact correlation function, μ is the state quantity correction coefficient, the input variable matrix X after normalization processing of the SCADA data related to a certain component of the fan contains q-dimensional initial parameters, and each dimensional parameter contains n q samples, X' Represents the transposition of X, the characteristic equation of the correlation coefficient matrix R has q eigenvalues, λ 1 ≥λ 2 ≥…≥λ q , U=(U 1 ,U 2 ,…,U q ), which corresponds to the eigenvalues Eigenvector, Y is the main component, sorted according to the order of the principal component variance from large to small, Y q is the qth principal component, Y 1 is the first principal component, has the largest variance, and can explain most of the information of the data, λ ji is the eigenvalue corresponding to the i-th principal component under working condition j, and δ is the cumulative variance contribution rate. For the principal component analysis results of each type of working condition j, ω j principal components are selected according to the cumulative variance contribution rate greater than δ, π(t g ) is the probability distribution of each state of the fan components at the monitoring point tg , A is the state transition matrix, Δt is an arbitrary time interval, t0 is the state transition time step, and S k is the vector matrix of quantized values of each state.
本实施例以故障率较高且故障后果较严重的发电机为例,划分发电机的状态为健康、轻微异常、异常、故障四种状态,如图4所示,初始概率分布为π(tg=0)=[1000]。In this embodiment, taking a generator with a relatively high failure rate and serious failure consequences as an example, the states of the generator are divided into four states: healthy, slightly abnormal, abnormal, and faulty. As shown in Figure 4, the initial probability distribution is π(t g = 0) = [1000].
结合发电机相关的SCADA监测参量,根据初始主成分聚类分析结果划分为低、中、高三种风速下的三类运行工况。对三类工况数据分别进行主成分聚类分析,并按照累积方差贡献率大于90%选择主成分,主成分分析后的不同工况下的发电机健康特征聚类结果如图5所示。Combined with the SCADA monitoring parameters related to the generator, according to the initial principal component cluster analysis results, it is divided into three types of operating conditions under three wind speeds: low, medium and high. The principal component cluster analysis is performed on the data of the three types of working conditions, and the principal components are selected according to the cumulative variance contribution rate greater than 90%. The clustering results of generator health characteristics under different working conditions after principal component analysis are shown in Figure 5.
3)基于台风随机冲击导致机组性能退化的时变随机性特点,结合台风冲击下部件故障率增量模型和退化与冲击相关性模型,构建考虑退化与冲击相依的海上风电机组部件时变故障率模型。3) Based on the time-varying randomness of the unit performance degradation caused by the random impact of the typhoon, combined with the component failure rate increment model and the degradation-impact correlation model under the typhoon impact, the time-varying failure rate of offshore wind turbine components considering the dependence of degradation and impact is constructed Model.
假设系统部件k的故障率λk由自然退化的故障率λ0k和遭受多次台风冲击导致的部件累积故障率增量Δλski(t)构成,机组部件的寿命为非负连续型随机变量,其自然退化过程采用威布尔分布描述,结合台风冲击下部件故障率增量模型和退化与冲击相关性模型,得到考虑退化与冲击相依的海上风电机组部件时变故障率模型:Assuming that the failure rate λ k of the system component k is composed of the natural degradation failure rate λ 0k and the component cumulative failure rate increment Δλ ski (t) caused by multiple typhoon impacts, the life of the unit component is a non-negative continuous random variable, The natural degradation process is described by Weibull distribution, combined with the component failure rate increment model under typhoon impact and the degradation and impact correlation model, the time-varying failure rate model of offshore wind turbine components considering the dependence of degradation and impact is obtained:
其中,i为台风冲击次数;N(t)为至t时刻台风冲击的累积次数;Di(t)为第i次台风期间t时刻的冲击幅值;为部件退化与冲击相关性函数,表示部件k在运行状态为时受到冲击对故障率增量的影响;tsi和tei分别表示台风对机组冲击影响的首达时刻和解除时刻;β为形状参数,η为尺度参数。Among them, i is the number of typhoon impacts; N(t) is the cumulative number of typhoon impacts up to time t; D i (t) is the impact amplitude at time t during the ith typhoon period; is the component degradation and impact correlation function, which means that the component k is in the running state of t si and t ei represent the first arrival time and release time of the typhoon’s impact on the unit, respectively; β is a shape parameter, and η is a scale parameter.
台风冲击下海上风电机组部件故障率演化示意图如图2所示。The schematic diagram of the failure rate evolution of offshore wind turbine components under the impact of typhoon is shown in Fig. 2.
4)基于海上风电机组部件时变故障率模型,在台风冲击场景下,构建机组部件剩余寿命预测模型,采用粒子群优化算法,以预测误差最小优化台风冲击下部件故障率增量模型和退化与冲击相关性模型的参数,得到优化剩余寿命预测模型。4) Based on the time-varying failure rate model of offshore wind turbine components, in the typhoon impact scenario, the remaining life prediction model of the unit components is constructed, and the particle swarm optimization algorithm is used to optimize the component failure rate increment model and the degradation and The parameters of the shock correlation model are used to obtain an optimized remaining life prediction model.
根据历史台风分布概率,采用蒙特卡洛抽样法随机抽样建立(0,t)内N(t)次随机台风冲击场景,单次台风冲击场景为台风最大风速半径、移动速度、中心气压差、最大风速半径处的风速和台风的移动方向的集合。根据机组历史状态监测数据,构建基于马尔可夫转移过程的机组部件随机状态模型,获得部件历史状态转移过程。并结合任意运行时刻tg之前的实际台风天气数据和部件运行状态监测数据对台风冲击场景及部件状态转移过程进行修正,以此得到考虑退化与冲击相依的机组部件剩余寿命预测模型:According to the distribution probability of historical typhoons, the Monte Carlo sampling method is used to randomly sample and establish N(t) random typhoon impact scenarios within (0, t). A collection of wind speeds at the wind speed radius and the typhoon's moving direction. According to the historical state monitoring data of the unit, a stochastic state model of the unit components based on the Markov transfer process is constructed to obtain the historical state transfer process of the components. Combined with the actual typhoon weather data before any operating time t g and the monitoring data of component operating status, the typhoon impact scene and component state transition process are corrected, so as to obtain the remaining life prediction model of unit components considering the dependence of degradation and impact:
其中,部件可靠度Rk(t)表示部件正常运行时间大于t概率,P表示事件的概率,表示考虑随机台风冲击影响的部件故障率期望值函数,nz表示台风冲击场景总次数,Z为台风冲击场景,z为台风冲击场景变量,T为部件发生故障的时刻,运行至t时刻部件剩余寿命为为剩余寿命期望值,x为剩余寿命时间变量,表示剩余寿命期望值的分布函数,为根据历史台风冲击下部件可靠度期望值函数,表示考虑随机台风冲击场景下的可靠度函数为的导函数,ts为使取t=0时剩余寿命期望值概率密度函数最大值对应的时刻,为可靠度故障阈值。Among them, the component reliability R k (t) represents the probability that the normal operation time of the component is greater than t, and P represents the probability of the event, Represents the expected value function of component failure rate considering the impact of random typhoon, n z indicates the total number of typhoon impact scenarios, Z is the typhoon impact scenario, z is the variable of the typhoon impact scenario, T is the time when the component fails, and the remaining life of the component runs to time t for is the expected value of remaining life, x is the time variable of remaining life, Remaining life expectancy distribution function of is the component reliability expectation function under the impact of historical typhoons, Represents the reliability function considering random typhoon impact scenarios for The derivative function of , t s is the probability density function of the expected value of the remaining life when t=0 The moment corresponding to the maximum value, is the reliability failure threshold.
通过对海上风电场中的风机某部件的寿命频次统计,利用极大似然估计方法,进行自然退化故障率模型参数估计,并在自然退化基础上,抽取nw台机组对台风冲击下部件故障率增量模型进行参数估计:Through the statistics of the life frequency of a certain component of the wind turbine in the offshore wind farm, the maximum likelihood estimation method is used to estimate the parameters of the natural degradation failure rate model, and on the basis of the natural degradation, the component failures of n w units under the impact of the typhoon are extracted Rate increment model for parameter estimation:
其中,β为形状参数,η为尺度参数,f0k(t)为威布尔分布概率密度密度分布函数,L(β,η)为似然函数,tz为部件寿命样本值,lnL(β,η)为对数似然函数,nc为样本容量,Uj为机组j的均方根误差,和yj(tgi)分别为机组j在监测点tgi时刻的剩余寿命估计值和剩余寿命实际值,ng为监测点的个数,nw为抽取的实验风机样本数量,U为nw机组的平均均方根误差。Among them, β is the shape parameter, η is the scale parameter, f 0k (t) is the probability density distribution function of Weibull distribution, L(β,η) is the likelihood function, t z is the sample value of component life, lnL(β, η) is the logarithmic likelihood function, n c is the sample size, U j is the root mean square error of unit j, and y j (t gi ) are the estimated value of remaining life and the actual value of remaining life of unit j at the time of monitoring point t gi respectively, n g is the number of monitoring points, n w is the number of experimental fan samples drawn, and U is n The average root mean square error of w unit.
随机台风冲击场景下机组部件剩余寿命示意图如图6所示。图7为粒子群优化算法的流程图。本实施例中,设置初始粒子数目为40,学习因子同为1.494,粒子最大速度为0.8。通过粒子群算法参数寻优,参数估计结果表2所示:The schematic diagram of the remaining life of the unit components under the random typhoon impact scenario is shown in Fig. 6. Fig. 7 is a flowchart of the particle swarm optimization algorithm. In this embodiment, the initial particle number is set to 40, the learning factor is also 1.494, and the maximum particle velocity is 0.8. Through particle swarm optimization algorithm parameter optimization, the parameter estimation results are shown in Table 2:
表2剩余寿命预测模型参数估计结果Table 2 Estimation results of remaining life prediction model parameters
5)基于优化剩余寿命预测模型,结合台风冲击监测数据和机组实时运行状态监测数据修正优化剩余寿命预测模型并实现剩余寿命预测。5) Based on the optimized remaining life prediction model, combined with the typhoon impact monitoring data and unit real-time operating status monitoring data, the optimized remaining life prediction model is revised and the remaining life prediction is realized.
图8表示因发电机电流异常而导致机组停机前一段时间的发电机状态评估结果。图9表示根据马尔可夫状态转移过程,任意监测点在不同初始状态下的发电机随机状态量化期望值随运行时间的变化。Fig. 8 shows the evaluation results of the generator status for a period of time before the unit stops due to abnormal generator current. Fig. 9 shows the variation of the quantized expected value of the random state of the generator with the running time at any monitoring point under different initial states according to the Markovian state transition process.
图10表示为考虑台风随机冲击影响的发电机剩余寿命期望值概率密度分布函数的分布图。Figure 10 shows the distribution diagram of the probability density distribution function of the expected value of the remaining life of the generator considering the random impact of the typhoon.
以某机组发电机剩余寿命预测为例,结合历史监测数据,验证模型有效性。分别对比三种方法,方法1:不考虑台风冲击影响的自然退化预测模型;方法2:随机台风冲击场景,考虑退化与台风冲击相依的预测模型;方法3:在方法2基础上,结合实际台风冲击修正的预测模型。根据历史台风发生的间隔时间以及各状态的持续时间,每间隔50天进行模型修正。Taking the remaining life prediction of a unit generator as an example, combined with historical monitoring data, the validity of the model is verified. The three methods are compared respectively, method 1: natural degradation prediction model without considering the impact of typhoon impact; method 2: random typhoon impact scenario, considering the prediction model of degeneration and typhoon impact interdependence; method 3: on the basis of
图11显示,方法1不考虑台风影响,只计及机组部件自然退化过程,预测结果最为乐观,高估了部件的可靠性和剩余寿命。相比方法1,方法2、3考虑了台风对机组部件退化过程的影响,可靠性演化过程更贴近于实际,剩余寿命预测的均方根误差(RMSE)分别降低了17.4%和25.1%。方法3与方法2相比,由于结合实际台风冲击修正模型,预测误差进一步减小,比方法2降低了7.7%。Figure 11 shows that
图12表示,该台机组在运行过程中先后经历了台风“海葵”和台风“布拉万”的冲击后,对于方法3中模型部分修正过程。Figure 12 shows that after the unit has experienced the impact of typhoon "Hai Kui" and typhoon "Bulavan" during its operation, it partially corrects the model in
图13显示,随着监测数据的增多,方法3的预测结果更加贴近于实际寿命值,预测精度提升。Figure 13 shows that with the increase of monitoring data, the prediction result of
分别分析台风到达率λ对剩余寿命预测的影响以及随机台风冲击次数对预测误差的影响。图14显示,随着台风冲击频率增加,概率密度曲线的峰值向左上方移动,且曲线形状变窄、概率分布更为集中,表明台风冲击频率的增加加快了机组部件可靠度降低的速度,剩余寿命预测期望值降低,概率分布更集中,剩余寿命预测的不确定性降低。图15显示,当台风冲击次数与实际发生次数相同时,剩余寿命预测误差RMSE最小,监测数据修正对RMSE的减小更有利。当台风冲击次数偏离实际台风发生次数时,降低了因台风冲击次数偏差而导致的剩余寿命预测误差。The influence of typhoon arrival rate λ on the remaining life prediction and the influence of random typhoon impact times on the prediction error are respectively analyzed. Figure 14 shows that with the increase of typhoon impact frequency, the peak value of the probability density curve moves to the upper left, and the shape of the curve becomes narrower, and the probability distribution is more concentrated, which indicates that the increase of typhoon impact frequency accelerates the reliability reduction of unit components, and the remaining Life prediction expectations are reduced, probability distributions are more focused, and uncertainty in remaining life predictions is reduced. Figure 15 shows that when the number of typhoon impacts is the same as the actual number of occurrences, the remaining life prediction error RMSE is the smallest, and the correction of monitoring data is more beneficial to the reduction of RMSE. When the number of typhoon impacts deviates from the actual number of typhoon occurrences, the remaining life prediction error caused by the deviation of typhoon impact times is reduced.
通过本实施例可以看出,本发明提出的方法有效可行,可为考虑台风影响的海上风电机组剩余寿命预测提供参考。It can be seen from this embodiment that the method proposed by the present invention is effective and feasible, and can provide a reference for the prediction of the remaining life of offshore wind turbines considering the influence of typhoons.
以上详细描述了本发明的较佳具体实施例。应当理解,本领域的普通技术人员无需创造性劳动就可以根据本发明的构思做出诸多修改和变化。因此,凡本技术领域中技术人员依据本发明的构思在现有技术的基础上通过逻辑分析、推理、或者有限的实验可以得到的技术方案,皆应在权利要求书所确定的保护范围内。The preferred specific embodiments of the present invention have been described in detail above. It should be understood that those skilled in the art can make many modifications and changes according to the concept of the present invention without creative effort. Therefore, all technical solutions that can be obtained by those skilled in the art based on the concept of the present invention through logical analysis, reasoning, or limited experiments on the basis of the prior art shall be within the scope of protection defined in the claims.
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