CN118188342A - Fan-oriented fault early warning and life prediction method - Google Patents
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Abstract
Description
技术领域Technical Field
本发明涉及风机故障预警与寿命预测技术领域,具体涉及一种面向风机的故障预警与寿命预测方法。The present invention relates to the technical field of fault warning and life prediction of wind turbines, and in particular to a fault warning and life prediction method for wind turbines.
背景技术Background technique
风电机组对自然环境的要求十分苛刻,考虑风资源分布情况和最大化利用为目的,机组通常建造在如近海、戈壁滩和草原等偏远宽阔地区。受极端恶劣的运行环境和复杂多变的运行工况影响,风电机组相较于传统发电设备更容易发生故障,这导致了风机除前期高昂的建设投入外,后期的运营和维护费用也非常昂贵。由于风电机组特殊的运行环境,其维护通常需要较长时间的准备,当机组由于突发故障出现非计划停机时,检修时间过长会导致风场的发电量减少,进一步影响风电场的经济效益。而随着科学技术的不断发展,风电机组逐渐向大型化、复杂化、批量化趋势发展,这使得风机维护变得更为困难和昂贵。因此,如何降低风电机组运营和维护成本,成为了提高风力发电经济效益和推动风电行业健康发展所面临的重大挑战。Wind turbines have very strict requirements on the natural environment. Considering the distribution of wind resources and the purpose of maximizing their utilization, wind turbines are usually built in remote and wide areas such as offshore, Gobi Desert and grassland. Affected by the extremely harsh operating environment and complex and changeable operating conditions, wind turbines are more prone to failure than traditional power generation equipment. This leads to high initial construction investment and very expensive later operation and maintenance costs. Due to the special operating environment of wind turbines, their maintenance usually requires a long time to prepare. When the unit has an unplanned shutdown due to a sudden failure, the long maintenance time will lead to a reduction in the power generation of the wind farm, further affecting the economic benefits of the wind farm. With the continuous development of science and technology, wind turbines are gradually developing towards large-scale, complex and mass production, which makes wind turbine maintenance more difficult and expensive. Therefore, how to reduce the operation and maintenance costs of wind turbines has become a major challenge faced by improving the economic benefits of wind power generation and promoting the healthy development of the wind power industry.
目前,对风电机组的维护方式主要有事后维护和定期维护两种。事后维护,又称修复性维护,是指在机组发生故障后,使其恢复到能够执行规定功能状态所实施的一系列维修工作。定期维护,又称预防性维护,是指定期地对机组进行系统性检查、测试和零件更换,以降低故障发生的概率,减轻故障发生的后果。近年来,随着风电行业的快速发展,常用的维护方式逐渐暴露出缺点,且难以满足运营商的要求。为了降低运维成本,提高风机可利用率,状态监测维护成为制定风电机组维护策略的研究重点。状态监测维护,又称预测性维护,是通过监控性能状态数据,及时准确地评价机组的运行状态,判断故障的发生以及进行性能状态的趋势预测,从而预先制定出维修计划,确定机组维修的时间和内容。根据在故障发生前对机组异常状态的识别和预警,以及对机组剩余寿命的预测,维护人员可以判断机组当前的运行状态,确定实施维修或零件替换的必要性,制定最优的维修计划,最大程度地避免机组故障和维修过剩的发生,并且确保有充足的时间来进行修理或获取替换部件,从而使得部件乃至整个风电机组在保证安全可靠的情况下,消耗最少的资源,并能达到最长的有效使用寿命。At present, there are two main maintenance methods for wind turbines: post-maintenance and regular maintenance. Post-maintenance, also known as corrective maintenance, refers to a series of maintenance work carried out to restore the unit to a state where it can perform the specified functions after a failure. Regular maintenance, also known as preventive maintenance, refers to regular systematic inspection, testing and parts replacement of the unit to reduce the probability of failure and mitigate the consequences of failure. In recent years, with the rapid development of the wind power industry, commonly used maintenance methods have gradually exposed their shortcomings and are difficult to meet the requirements of operators. In order to reduce operation and maintenance costs and improve the availability of wind turbines, condition monitoring maintenance has become a research focus for formulating wind turbine maintenance strategies. Condition monitoring maintenance, also known as predictive maintenance, is to monitor performance status data, timely and accurately evaluate the operating status of the unit, judge the occurrence of failures, and predict the trend of performance status, so as to formulate a maintenance plan in advance and determine the time and content of unit maintenance. Based on the identification and early warning of abnormal conditions of the unit before a failure occurs, as well as the prediction of the remaining life of the unit, maintenance personnel can determine the current operating status of the unit, determine the necessity of implementing maintenance or parts replacement, and formulate the optimal maintenance plan to minimize the occurrence of unit failures and excessive maintenance, and ensure that there is sufficient time to carry out repairs or obtain replacement parts, so that the components and even the entire wind turbine unit can consume the least resources and achieve the longest effective service life while ensuring safety and reliability.
基于数据驱动的寿命预测方法是根据获取到的历史运行数据,建立可以描述设备运行状态变化规律的模型,进而分析出设备当前的运行状况,并预测设备故障前的剩余寿命。该方法不需要系统地掌握设备的机械结构和失效机理,而是利用统计学理论、机器学习技术、模式识别等方法原理,对设备的历史运行数据进行分析,建立预测模型与运行监测变量之间的函数映射关系,以实现设备的运行状态监测和剩余寿命预估,为制定维修计划提供相应的决策信息。基于数据驱动的寿命预测方法包括可靠性方法、随机过程、时间序列和神经网络等方法。The data-driven life prediction method is to establish a model that can describe the law of equipment operation status changes based on the historical operation data obtained, and then analyze the current operation status of the equipment and predict the remaining life of the equipment before failure. This method does not require a systematic understanding of the mechanical structure and failure mechanism of the equipment. Instead, it uses statistical theory, machine learning technology, pattern recognition and other methods and principles to analyze the historical operation data of the equipment, establish a functional mapping relationship between the prediction model and the operation monitoring variables, so as to realize the equipment's operation status monitoring and remaining life estimation, and provide corresponding decision-making information for the formulation of maintenance plans. Data-driven life prediction methods include reliability methods, random processes, time series and neural networks.
随着科学技术的不断发展,机械设备日益趋向大型化、复杂化,获得其完备的失效机理和物理结构变得更加困难,所以基于物理模型的寿命预测方法在应用和研究方面受到了极大的限制。随着物联网、互联网和计算机技术的发展,获取设备的监测数据变得更为简单,基于数据驱动的方法逐渐成为解决机械设备寿命预测更加有效的方法,因此,亟需一种考虑到风力发电机组运行环境恶劣和工况复杂多变的特殊性能实现关键部件的故障预警和寿命预测的方法。With the continuous development of science and technology, mechanical equipment is becoming increasingly large-scale and complex, and it is becoming more difficult to obtain its complete failure mechanism and physical structure, so the life prediction method based on physical models is greatly limited in application and research. With the development of the Internet of Things, the Internet and computer technology, it has become easier to obtain equipment monitoring data, and data-driven methods have gradually become a more effective way to solve the life prediction of mechanical equipment. Therefore, there is an urgent need for a method to realize fault warning and life prediction of key components taking into account the special performance of wind turbines in harsh operating environments and complex and changeable working conditions.
发明内容Summary of the invention
为解决现有技术中存在的问题,本发明提供了一种面向风机的故障预警与寿命预测方法,针对风机各关键部件的运行特性,发展基于优化的自联想核回归模型、长短期记忆网络模型和威布尔比例风险模型,实现关键部件的故障预警和寿命预测有机结合,解决了上述背景技术中提到的问题。In order to solve the problems existing in the prior art, the present invention provides a fault warning and life prediction method for wind turbines. According to the operating characteristics of each key component of the wind turbine, an optimized autoassociative kernel regression model, a long short-term memory network model and a Weibull proportional risk model are developed to achieve an organic combination of fault warning and life prediction of key components, thereby solving the problems mentioned in the above background technology.
为实现上述目的,本发明提供如下技术方案:一种面向风机的故障预警与寿命预测方法,包括如下步骤:To achieve the above object, the present invention provides the following technical solution: a fault warning and life prediction method for a wind turbine, comprising the following steps:
S1、通过传感器或数据采集装置获取风机运行过程中的原始运行数据;S1. Obtaining original operation data of the fan during operation through sensors or data acquisition devices;
S2、对原始数据进行数据预处理;S2, preprocessing the original data;
S3、将预处理后的数据划分为训练集和测试集,训练集和测试集由机组历史健康数据按85%与15%的比例划分得到;S3, dividing the preprocessed data into a training set and a test set, wherein the training set and the test set are obtained by dividing the historical health data of the unit in a ratio of 85% to 15%;
S4、使用OAKR模型进行预测并进行基于MSE指标与多变量贝叶斯指标的故障预警;S4. Use the OAKR model to make predictions and perform fault warnings based on the MSE index and multivariate Bayesian index;
S5、发生故障预警后使用LSTM-WPHM模型进行剩余寿命预测。S5. After a fault warning occurs, the LSTM-WPHM model is used to predict the remaining life.
优选的,在步骤S2中,所述的数据预处理包括空缺值、无穷值处理,删除启停数据,季节性因素消除,数据标准化以及小波包贝叶斯去噪。Preferably, in step S2, the data preprocessing includes processing of missing values and infinite values, deleting start and stop data, eliminating seasonal factors, data standardization and wavelet packet Bayesian denoising.
优选的,在步骤S4中,具体包括如下:Preferably, in step S4, the following is specifically included:
S41、模型训练:划分用于模型训练的85%历史健康数据,采用等间距间隔采样方法对前70%数据进行采样,生成记忆矩阵;采用单纯型优化方法对后15%数据进行OAKR算法中核函数带宽h的优化;S41, model training: divide 85% of the historical health data for model training, use the equal-interval sampling method to sample the first 70% of the data to generate a memory matrix; use the simplex optimization method to optimize the kernel function bandwidth h in the OAKR algorithm for the last 15% of the data;
S42、模型测试:将训练好的OAKR模型用于模型测试,得到健康状态下模型的性能参数,为模型预警提供基础;S42, Model testing: Use the trained OAKR model for model testing to obtain the performance parameters of the model in a healthy state, providing a basis for model early warning;
S43、模型预测:将预处理后的待检测数据输入到训练好的OAKR模型中,输出预测值,计算预测值与真实值之间的均方误差MSE和贝叶斯因子报警指标,当超出阈值时,模型发生报警。S43, model prediction: input the preprocessed data to be tested into the trained OAKR model, output the predicted value, calculate the mean square error (MSE) between the predicted value and the true value and the Bayes factor alarm index, and when the threshold is exceeded, the model will alarm.
优选的,在步骤S4中,OAKR方法步骤包括:Preferably, in step S4, the OAKR method steps include:
第一步、计算监测向量v和每一个记忆向量Xi之间的距离,得到一个n×1的距离向量d,采用欧式距离计算:The first step is to calculate the distance between the monitoring vector v and each memory vector Xi to obtain an n×1 distance vector d, using Euclidean distance calculation:
第二步、通过得到的距离矩阵d和高斯核函数来计算权重w,w是一个n×1的向量矩阵,每个元素由以下公式计算:The second step is to calculate the weight w through the obtained distance matrix d and Gaussian kernel function. w is an n×1 vector matrix, and each element is calculated by the following formula:
式中,h是核函数带宽,决定了核函数的平滑程度,小的带宽h可以体现更多细节但常常导致尾部欠平滑;相反,大的带宽h常丢失细节,导致变化剧烈部分过于平滑;Where h is the kernel function bandwidth, which determines the smoothness of the kernel function. A small bandwidth h can reflect more details but often leads to undersmoothing of the tail. On the contrary, a large bandwidth h often loses details, resulting in oversmoothing of the parts with drastic changes.
第三步、使用单纯形算法优化带宽h;Step 3: Use the simplex algorithm to optimize the bandwidth h;
第四步、通过得到的权重w做监测向量v的预测值 由每个记忆向量Xi的加权平均值计算得到,计算公式如下:Step 4: Use the obtained weight w to make the predicted value of the monitoring vector v It is calculated by the weighted average of each memory vector Xi , and the calculation formula is as follows:
优选的,在步骤S5中,具体包括如下:Preferably, in step S5, the following is specifically included:
S51、相关变量筛选:根据专家知识和故障机理,筛选出影响轴承温度变化的相关变量,并通过相关性分析,确定各变量与轴承温度的相关程度;S51. Related variable screening: Based on expert knowledge and fault mechanism, screen out the related variables that affect the bearing temperature change, and determine the degree of correlation between each variable and the bearing temperature through correlation analysis;
S52、LSTM模型训练:利用机组健康状态下的变量数据,训练LSTM轴承温度预测模型,拟合出相关变量与轴承温度的非线性映射关系;S52, LSTM model training: Use the variable data under the unit health status to train the LSTM bearing temperature prediction model and fit the nonlinear mapping relationship between the relevant variables and the bearing temperature;
S53、LSTM模型验证:对训练好的LSTM轴承温度预测模型进行验证,分析模型的训练过程是否收敛,评估模型的均方误差和决定系数是否符合要求,若模型不满足精度要求,则对模型重新进行训练;S53, LSTM model verification: verify the trained LSTM bearing temperature prediction model, analyze whether the model training process converges, and evaluate whether the mean square error and determination coefficient of the model meet the requirements. If the model does not meet the accuracy requirements, retrain the model;
S54、轴承状态指标确定:若LSTM轴承温度预测模型满足要求,则计算出轴承温度在健康状态下的预测值,并以实际值与预测值的残差作为轴承状态指标;S54, bearing status index determination: if the LSTM bearing temperature prediction model meets the requirements, the predicted value of the bearing temperature in a healthy state is calculated, and the residual between the actual value and the predicted value is used as the bearing status index;
S55、WPHM建模:根据机组故障信息,选取训练集中故障机组和健康机组的轴承状态指标,建立WPHM模型;S55, WPHM modeling: Based on the unit fault information, the bearing status indicators of the faulty units and healthy units in the training set are selected to establish the WPHM model;
S56、模型阈值确定:利用LSTM-WPHM模型对训练集中的机组进行可靠性分析,通过对比故障机组和健康机组的差异,给出失效阈值Ff和报警阈值Fa;S56, model threshold determination: Use the LSTM-WPHM model to perform reliability analysis on the units in the training set, and give the failure threshold Ff and the alarm threshold Fa by comparing the differences between the faulty units and the healthy units;
S57、轴承故障报警:利用LSTM-WPHM模型对机组进行分析,计算出机组各时刻下的累积失效概率F(t,X),并结合阈值设置,给出模型报警;S57, bearing fault alarm: Use the LSTM-WPHM model to analyze the unit, calculate the cumulative failure probability F(t,X) of the unit at each time, and combine the threshold setting to give a model alarm;
S58、轴承寿命预测:当F(t,X)超过报警阈值Fa时,对机组故障进行剩余寿命预测,根据模型报警前F(t,X)的变化趋势,拟合出机组退化失效曲线,预测F(t,X)达到失效阈值Ff的时刻,并结合拟合曲线参数估计的置信区间,给出剩余寿命区间。S58. Bearing life prediction: When F(t,X) exceeds the alarm threshold Fa , the remaining life of the unit fault is predicted. According to the change trend of F(t,X) before the model alarm, the unit degradation failure curve is fitted to predict the moment when F(t,X) reaches the failure threshold Ff . Combined with the confidence interval estimated by the fitting curve parameters, the remaining life interval is given.
优选的,在步骤S52中,所述的LSTM模型由2层LSTM神经网络、2层Dropout层和1层Dense层组成;Preferably, in step S52, the LSTM model consists of 2 layers of LSTM neural networks, 2 layers of Dropout layers and 1 layer of Dense layer;
LSTM模型中的第一层LSTM神经网络节点数为64,激活函数为Relu函数,LSTM的第二层LSTM神经网络节点数为128,激活函数为Relu函数,Dense层节点数为1,Dropout层添加在每层LSTM网络后。The number of nodes in the first layer of LSTM neural network in the LSTM model is 64, and the activation function is the Relu function. The number of nodes in the second layer of LSTM neural network is 128, and the activation function is the Relu function. The number of nodes in the Dense layer is 1, and the Dropout layer is added after each layer of LSTM network.
优选的,在步骤S54中,以预测值与实际值的残差δ作为表征轴承状态的指标,将该轴承状态指标δ作为WPHM模型的输入,计算公式如下:Preferably, in step S54, the residual δ between the predicted value and the actual value is used as an index to characterize the bearing state, and the bearing state index δ is used as an input of the WPHM model, and the calculation formula is as follows:
δ=ytrue-ypre δ=y true -y pre
式中,ytrue为轴承温度实际值,ypre为轴承温度预测值。Where y true is the actual value of the bearing temperature, and y pre is the predicted value of the bearing temperature.
优选的,在步骤S58中,采用指数函数来拟合其变化趋势,表达式为:Preferably, in step S58, an exponential function is used to fit its changing trend, and the expression is:
y(t)=aet+by(t)=ae t +b
式中,t为机组轴承运行时长,当达到失效阈值Ff时,轴承的剩余寿命tRUL为:Where t is the running time of the unit bearing. When the failure threshold F f is reached, the remaining life t RUL of the bearing is:
tRUL=tpf-ta;t RUL = t pf - ta ;
式中,ta是轴承故障预警时间,tpf是预测出的机组停机时间。Where t a is the bearing failure warning time, and t pf is the predicted unit downtime.
本发明的有益效果是:本发明结合OAKR模型、LSTM模型、WPHM模型对风机进行故障预警以及剩余寿命预测。使用OAKR模型进行预测并发展基于MSE指标与多变量贝叶斯指标的故障预警,发生故障预警后使用LSTM-WPHM模型进行剩余寿命预测。经实际数据验证能够有效的实现故障预警以及剩余寿命预测,可以帮助维修人员判断机组当前状态,避免机组故障和维修过剩的发生,消耗最少的资源达到最长的有效使用寿命。The beneficial effect of the present invention is that the present invention combines the OAKR model, the LSTM model, and the WPHM model to perform fault warning and remaining life prediction for the fan. The OAKR model is used to predict and develop fault warning based on the MSE indicator and the multivariate Bayesian indicator. After the fault warning occurs, the LSTM-WPHM model is used to predict the remaining life. It has been verified by actual data that fault warning and remaining life prediction can be effectively realized, which can help maintenance personnel judge the current state of the unit, avoid unit failure and excessive maintenance, and consume the least resources to achieve the longest effective service life.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1为本发明方法步骤流程示意图;FIG1 is a schematic flow chart of the steps of the method of the present invention;
图2为本发明LSTM轴承温度预测模型结构示意图;FIG2 is a schematic diagram of the structure of the LSTM bearing temperature prediction model of the present invention;
图3为本发明LSTM-WPHM模型的故障预警和寿命预测示意图;FIG3 is a schematic diagram of fault warning and life prediction of the LSTM-WPHM model of the present invention;
图4为本发明实施例测试集中漏报机组的2个验证分析示意图,(a)为漏报机组1,(b)为漏报机组2。FIG4 is a schematic diagram of two verification analyses of missed reporting units in a test set according to an embodiment of the present invention, wherein (a) is missed reporting unit 1 and (b) is missed reporting unit 2.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.
本发明提供一种技术方案:一种面向风机的故障预警与寿命预测方法,如图1所示,为本发明的步骤流程,具体包括如下步骤:The present invention provides a technical solution: a fault warning and life prediction method for a wind turbine, as shown in FIG1 , which is a step flow of the present invention, specifically comprising the following steps:
1)通过传感器等数据采集装置获取风机运行过程中的运行数据;1) Obtaining the operation data of the fan during operation through sensors and other data acquisition devices;
2)对原始数据进行数据预处理:空缺值、无穷值处理;删除启停数据;季节性因素消除;数据标准化;小波包贝叶斯去噪;2) Preprocess the original data: handle missing values and infinite values; delete start and stop data; eliminate seasonal factors; standardize data; and use wavelet packet Bayesian denoising;
3)划分训练集、测试集:训练集和测试集由机组历史健康数据按85%与15%的比例划分得到;3) Divide the training set and test set: The training set and test set are obtained by dividing the historical health data of the crew in a ratio of 85% to 15%;
4)模型训练:近一步划分用于模型训练的85%历史健康数据,其中前70%数据用于生成记忆矩阵,后15%数据用于优化OAKR算法中的核函数带宽h。采用等间距间隔采样方法对前70%数据进行采样,生成记忆矩阵;采用单纯型优化方法对后15%数据进行OAKR算法中核函数带宽h的优化;4) Model training: 85% of the historical health data for model training is further divided, of which the first 70% of the data is used to generate the memory matrix, and the last 15% of the data is used to optimize the kernel function bandwidth h in the OAKR algorithm. The first 70% of the data is sampled using the equal-interval sampling method to generate the memory matrix; the last 15% of the data is optimized using the simplex optimization method to optimize the kernel function bandwidth h in the OAKR algorithm;
5)模型测试:将训练好的OAKR模型用于模型测试,得到健康状态下模型的性能参数,为模型预警提供基础;5) Model testing: Use the trained OAKR model for model testing to obtain the performance parameters of the model in a healthy state, providing a basis for model early warning;
6)模型预测:将预处理后的待检测数据输入到训练好的OAKR模型中,输出预测值,计算预测值与真实值之间的均方误差MSE和贝叶斯因子报警指标,当超出阈值时,模型发生报警;6) Model prediction: Input the preprocessed data to be tested into the trained OAKR model, output the predicted value, calculate the mean square error (MSE) and Bayes factor alarm index between the predicted value and the true value, and the model will alarm when the threshold is exceeded;
7)模型发生报警后,进行寿命预测;7) After the model alarm occurs, life prediction is performed;
8)相关变量筛选:根据专家知识和故障机理,筛选出影响轴承温度变化的相关变量,并通过相关性分析,确定各变量与轴承温度的相关程度;8) Related variable screening: Based on expert knowledge and fault mechanism, screen out the related variables that affect the bearing temperature change, and determine the degree of correlation between each variable and the bearing temperature through correlation analysis;
9)LSTM模型训练:利用机组健康状态下的变量数据,训练LSTM轴承温度预测模型,拟合出相关变量与轴承温度的非线性映射关系;9) LSTM model training: Use the variable data under the healthy state of the unit to train the LSTM bearing temperature prediction model and fit the nonlinear mapping relationship between the relevant variables and the bearing temperature;
10)LSTM模型验证:对训练好的LSTM轴承温度预测模型进行验证,分析模型的训练过程是否收敛,评估模型的均方误差和决定系数是否符合要求。若模型不满足精度要求,则对模型重新进行训练。10) LSTM model verification: Verify the trained LSTM bearing temperature prediction model, analyze whether the model training process has converged, and evaluate whether the mean square error and determination coefficient of the model meet the requirements. If the model does not meet the accuracy requirements, retrain the model.
11)轴承状态指标:若LSTM轴承温度预测模型满足要求,则计算出轴承温度在健康状态下的预测值,并以实际值与预测值的残差作为轴承状态指标。11) Bearing status index: If the LSTM bearing temperature prediction model meets the requirements, the predicted value of the bearing temperature in a healthy state is calculated, and the residual between the actual value and the predicted value is used as the bearing status index.
12)WPHM建模:根据机组故障信息,选取训练集中故障机组和健康机组的轴承状态指标,建立WPHM模型。12) WPHM modeling: Based on the unit fault information, the bearing status indicators of the faulty units and healthy units in the training set are selected to establish the WPHM model.
13)模型阈值确定:利用LSTM-WPHM模型对训练集中的机组进行可靠性分析,通过对比故障机组和健康机组的差异,给出失效阈值Ff和报警阈值Fa。13) Model threshold determination: The LSTM-WPHM model is used to perform reliability analysis on the units in the training set. By comparing the differences between faulty units and healthy units, the failure threshold Ff and alarm threshold Fa are given.
14)轴承故障报警:利用LSTM-WPHM模型对机组进行分析,计算出机组各时刻下的累积失效概率F(t,X),并结合阈值设置,给出相应的模型报警。14) Bearing fault alarm: Use the LSTM-WPHM model to analyze the unit, calculate the cumulative failure probability F(t,X) of the unit at each time, and combine the threshold setting to give the corresponding model alarm.
15)轴承寿命预测:当F(t,X)超过报警阈值Fa时,对机组故障进行剩余寿命预测,根据模型报警前F(t,X)的变化趋势,拟合出机组退化失效曲线,预测F(t,X)达到失效阈值Ff的时刻,并结合拟合曲线参数估计的置信区间,给出剩余寿命区间。15) Bearing life prediction: When F(t,X) exceeds the alarm threshold Fa , the remaining life of the unit fault is predicted. According to the change trend of F(t,X) before the model alarm, the unit degradation failure curve is fitted to predict the moment when F(t,X) reaches the failure threshold Ff . Combined with the confidence interval estimated by the fitting curve parameters, the remaining life interval is given.
基于优化的自联想核回归方法(OAKR)Optimized Auto-Associative Kernel Regression (OAKR)
自联想核回归方法(Auto-associative Kernel Regression,AAKR)是一种基于两列数组相似性原理的非参数建模技术,它使用监测向量与记忆向量的相似度来推断模型的响应,模型训练简单,不依赖于设备和故障类型信息,适用于多变量的各种设备运行监测和故障报警。OAKR方法是在此基础上通过优化的方式,得到最佳的模型参数,从而更好的用于设备状态监测和故障预警。Auto-associative Kernel Regression (AAKR) is a non-parametric modeling technique based on the principle of similarity between two-column arrays. It uses the similarity between the monitoring vector and the memory vector to infer the response of the model. The model training is simple and does not depend on the equipment and fault type information. It is suitable for multi-variable equipment operation monitoring and fault alarm. The OAKR method is based on this and obtains the best model parameters through optimization, so that it can be better used for equipment status monitoring and fault warning.
提取设备多维监测数据,把用于创建OAKR模型的样本记忆向量储存在一个矩阵X中,其中Xi,j代表第j个关键变量的第i个向量值。对于n个记忆向量,p个变量的记忆矩阵X可表示为:Extract the multi-dimensional monitoring data of the equipment and store the sample memory vectors used to create the OAKR model in a matrix X, where Xi ,j represents the i-th vector value of the j-th key variable. For n memory vectors, the memory matrix X of p variables can be expressed as:
监测向量用1×p的矩阵V表示为:The monitoring vector is represented by a 1×p matrix V:
V=[v1,v2,…,vp] (2)V=[v 1 ,v 2 ,…,v p ] (2)
模型的预测值可以通过对记忆矩阵X的每一个记忆向量进行加权平均计算得到,其中加权平均参数用机组健康数据进行估计。OAKR方法由四步组成:首先,计算监测向量v和每一个记忆向量Xi之间的距离,得到一个n×1的距离向量d,本发明采用最常用的欧式距离计算:The predicted value of the model can be obtained by weighted averaging each memory vector of the memory matrix X, where the weighted average parameter is estimated using the unit health data. The OAKR method consists of four steps: First, the distance between the monitoring vector v and each memory vector Xi is calculated to obtain an n×1 distance vector d. The present invention uses the most commonly used Euclidean distance calculation:
第二步,通过得到的距离矩阵d和高斯核函数来计算权重w,w也是一个n×1的向量矩阵,每个元素由以下公式计算:In the second step, the weight w is calculated by the obtained distance matrix d and Gaussian kernel function. w is also an n×1 vector matrix, and each element is calculated by the following formula:
式中h是核函数带宽,决定了核函数的平滑程度。小的带宽h可以体现更多细节但常常导致尾部欠平滑;相反,大的带宽h常丢失细节,导致变化剧烈部分过于平滑。Where h is the kernel function bandwidth, which determines the smoothness of the kernel function. A small bandwidth h can reflect more details but often leads to less smooth tails; on the contrary, a large bandwidth h often loses details and leads to overly smooth parts with drastic changes.
第三步,使用单纯形算法优化带宽h。The third step is to optimize the bandwidth h using the simplex algorithm.
第四步,通过得到的权重w做监测向量v的预测值 由每个记忆向量Xi的加权平均值计算得到,计算公式如下:The fourth step is to use the obtained weight w to make the predicted value of the monitoring vector v It is calculated by the weighted average of each memory vector Xi , and the calculation formula is as follows:
LSTM-WPHM模型LSTM-WPHM model
LSTM温度预测模型LSTM temperature prediction model
选取影响轴承温度的相关变量作为模型输入,轴承温度作为模型输出,训练LSTM轴承温度预测模型。图2为LSTM轴承温度预测模型结构,该模型由2层LSTM神经网络、2层Dropout层和1层Dense层组成。模型中的第一层LSTM神经网络节点数为64,激活函数为Relu函数,第二层LSTM神经网络节点数为128,激活函数为Relu函数,Dense层节点数为1,Dropout层添加在每层LSTM网络后,在每次迭代训练中随机移除20%的神经元,以减少模型出现过拟合的概率。The relevant variables affecting the bearing temperature are selected as the model input, and the bearing temperature is selected as the model output to train the LSTM bearing temperature prediction model. Figure 2 shows the structure of the LSTM bearing temperature prediction model, which consists of 2 layers of LSTM neural networks, 2 layers of Dropout layers, and 1 layer of Dense layer. The number of nodes in the first layer of the LSTM neural network in the model is 64, and the activation function is the Relu function. The number of nodes in the second layer of the LSTM neural network is 128, and the activation function is the Relu function. The number of nodes in the Dense layer is 1. After the Dropout layer is added to each layer of the LSTM network, 20% of the neurons are randomly removed in each iterative training to reduce the probability of overfitting of the model.
选取风机轴承健康阶段的运行数据,训练LSTM轴承温度预测模型,建立轴承温度与各影响因素的非线性映射关系。利用训练好的LSTM模型预测出正常运行状态下的轴承温度值,当轴承发生异常时,预测值与实际值会发生较大偏差。因此,本发明以预测值与实际值的残差δ作为表征轴承状态的指标,计算公式如下:The operating data of the fan bearing in the healthy stage is selected to train the LSTM bearing temperature prediction model, and a nonlinear mapping relationship between the bearing temperature and various influencing factors is established. The trained LSTM model is used to predict the bearing temperature value under normal operating conditions. When the bearing is abnormal, a large deviation will occur between the predicted value and the actual value. Therefore, the present invention uses the residual δ between the predicted value and the actual value as an indicator to characterize the bearing state, and the calculation formula is as follows:
δ=ytrue-ypre (6)δ=y true -y pre (6)
式中,ytrue为轴承温度实际值,ypre为轴承温度预测值。该指标融合各类因素对轴承温度的影响,突显出轴承故障所引起的温度异常变化。将该轴承状态指标δ作为WPHM模型的输入,对风机轴承进行故障预警和寿命预测In the formula, y true is the actual value of the bearing temperature, and y pre is the predicted value of the bearing temperature. This index integrates the influence of various factors on the bearing temperature and highlights the abnormal temperature changes caused by bearing failure. The bearing status index δ is used as the input of the WPHM model to perform fault warning and life prediction for the fan bearing.
威布尔比例风险模型Weibull proportional hazards model
传统的比例风险模型没有假定λ0(t)的分布形式,仅根据现有数据给出离散型的基线失效率,无法给出随历史寿命变化的连续型的基线失效率。考虑到不同机械设备在特定工况下都有其相应的失效分布函数,而且全参数模型的分析精度通常要高于半参数模型,有学者提出将可靠性中常用的失效分布引入到模型中,建立全参数统计回归模型,来对机械设备进行更准确地分析。在实际工程应用中,威布尔分布是一种常用于描述机械设备失效程度随时间变化的分布函数,因此常作为基线失效函数代入比例风险模型,得到威布尔比例风险模型(Weibull Proportional Hazard Model,WPHM),其失效率函数表达式为:The traditional proportional hazard model does not assume the distribution form of λ 0 (t), and only gives a discrete baseline failure rate based on existing data, and cannot give a continuous baseline failure rate that changes with historical life. Considering that different mechanical equipment has its corresponding failure distribution function under specific working conditions, and the analysis accuracy of the full parameter model is usually higher than that of the semi-parametric model, some scholars have proposed to introduce the failure distribution commonly used in reliability into the model and establish a full parameter statistical regression model to analyze mechanical equipment more accurately. In actual engineering applications, the Weibull distribution is a distribution function commonly used to describe the change of the failure degree of mechanical equipment over time. Therefore, it is often used as a baseline failure function to substitute into the proportional hazard model to obtain the Weibull Proportional Hazard Model (WPHM), and its failure rate function expression is:
WPHM模型相应的可靠性指标为:The corresponding reliability index of the WPHM model is:
WPHM模型中的未知参数β,η和α通常采用极大似然估计法进行参数估计,似然函数的一般表达式为:The unknown parameters β, η and α in the WPHM model are usually estimated using the maximum likelihood estimation method. The general expression of the likelihood function is:
式中,n为数据样本总数,δi为数据样本截尾指示量,取值为1表示样本失效,取值为0表示数据截尾,q为样本失效个数。将等式(7)和(9)代入等式(11)可得WPHM模型的似然函数为:Where n is the total number of data samples, δ i is the data sample truncation indicator, a value of 1 indicates sample failure, a value of 0 indicates data truncation, and q is the number of sample failures. Substituting equations (7) and (9) into equation (11), the likelihood function of the WPHM model is:
相应的对数似然函数为:The corresponding log-likelihood function is:
对上式中对数似然函数lnL(β,η,α)的未知参数β,η和α分别求偏导,可得Taking partial derivatives of the unknown parameters β, η and α of the log-likelihood function lnL(β,η,α) in the above formula, we can get
令各偏导数等于零,得到非线性方程组,求解方程组,可得参数估计值 和/>由于该方程属于超越方程,求得解析解相对困难,因此通常利用迭代算法对其进行近似的数值求解。本发明采用拟牛顿法中的BFGS算法进行求解。BFGS算法利用BFGS矩阵作为牛顿法中二阶导数的近似,取代Hessian矩阵,解决了牛顿法中下降方向不存在、Hessian矩阵计算困难等问题,而且具有更好的数值稳定性,其公式如下:Setting each partial derivative equal to zero, we get a nonlinear system of equations. Solving the system of equations gives us the estimated values of the parameters. and/> Since the equation belongs to a transcendental equation, it is relatively difficult to obtain an analytical solution, so an iterative algorithm is usually used to approximate the numerical solution. The present invention adopts the BFGS algorithm in the quasi-Newton method to solve it. The BFGS algorithm uses the BFGS matrix as an approximation of the second-order derivative in the Newton method to replace the Hessian matrix, which solves the problems of the non-existence of the descending direction and the difficulty in calculating the Hessian matrix in the Newton method, and has better numerical stability. The formula is as follows:
式中,Bk为BFGS矩阵,Δxk=xk+1-xk,Δfk=f(xk+1)-f(xk),xk为函数变量,f(·)为目标函数。Wherein, Bk is the BFGS matrix, Δxk = xk+1 - xk , Δfk = f( xk+1 )-f( xk ), xk is the function variable, and f(·) is the objective function.
LSTM-WPHM模型LSTM-WPHM model
根据等式(7),融合LSTM轴承温度预测模型给出的轴承状态指标δ,建立LSTM-WPHM模型,模型的失效率函数表达式为:According to equation (7), the bearing condition index δ given by the LSTM bearing temperature prediction model is integrated to establish the LSTM-WPHM model. The failure rate function expression of the model is:
根据威布尔比例风险模型,对LSTM-WPHM轴承可靠性模型中的未知参数进行估计,其对数似然函数为如下:According to the Weibull proportional hazard model, the unknown parameters in the LSTM-WPHM bearing reliability model are estimated, and its log-likelihood function is as follows:
分别对等式(19)中对数似然函数lnL(β,η,α)的未知参数β,η和α求偏导,并令各偏导数等于零,得到非线性方程组。利用BFGS算法求解方程组可得参数估计值 和/> The unknown parameters β, η and α of the log-likelihood function lnL(β,η,α) in equation (19) are obtained by partial derivatives, and each partial derivative is set equal to zero to obtain a nonlinear system of equations. The parameter estimates can be obtained by solving the system of equations using the BFGS algorithm: and/>
LSTM-WPHM模型相应的可靠性指标为:The corresponding reliability index of the LSTM-WPHM model is:
其中,累积失效概率F(t,X)可以表征轴承的故障程度,其数值越大,说明轴承故障的程度越大。同时,F(t,X)也反映出轴承运行过程中的性能衰减,随着轴承性能的退化,F(t,X)会表现为逐次递增。因此,本章以累积失效概率F(t,X)作为轴承的失效指标,实现对风机轴承的故障预警和寿命预测,并根据故障机组和健康机组的分析结果,得到各机组的均值和最大值统计特征,确定出机组的报警阈值Fa和失效阈值Ff。Among them, the cumulative failure probability F(t,X) can characterize the degree of bearing failure. The larger its value, the greater the degree of bearing failure. At the same time, F(t,X) also reflects the performance degradation of the bearing during operation. As the bearing performance deteriorates, F(t,X) will increase gradually. Therefore, this chapter uses the cumulative failure probability F(t,X) as the failure indicator of the bearing to achieve fault warning and life prediction of the fan bearing. Based on the analysis results of the faulty units and healthy units, the mean and maximum statistical characteristics of each unit are obtained, and the alarm threshold F a and failure threshold F f of the unit are determined.
图3展示了LSTM-WPHM模型对机组故障报警和寿命预测的示意图。首先通过LSTM模型融合多维变量数据,计算出轴承状态指标,然后根据WPHM模型计算出轴承的累积失效概率F(t,X)。当F(t,X)达到报警阈值Fa时,给出机组故障预警,并开始对机组进行寿命预测分析,根据F(t,X)变化趋势进行曲线拟合,预测机组F(t,X)未来的变化趋势,当预测的F(t,X)达到失效阈值Ff时,判定机组发生故障停机,给出机组的剩余寿命。当模型给出故障预警时,通常认为轴承出现了早期故障征兆,在没有维修的情况下,轴承的累积失效概率会随着运行时长呈现非线性单调上升趋势。因此,本发明采用指数函数来拟合其变化趋势,表达式为:Figure 3 shows a schematic diagram of the LSTM-WPHM model for unit fault alarm and life prediction. First, the multi-dimensional variable data is integrated through the LSTM model to calculate the bearing status index, and then the cumulative failure probability F(t,X) of the bearing is calculated according to the WPHM model. When F(t,X) reaches the alarm threshold Fa , a unit fault warning is given, and the life prediction analysis of the unit is started. According to the change trend of F(t,X), curve fitting is performed to predict the future change trend of the unit F(t,X). When the predicted F(t,X) reaches the failure threshold Ff , the unit is judged to have a fault shutdown, and the remaining life of the unit is given. When the model gives a fault warning, it is generally believed that the bearing has early signs of failure. In the absence of maintenance, the cumulative failure probability of the bearing will show a nonlinear monotonic upward trend with the running time. Therefore, the present invention uses an exponential function to fit its change trend, and the expression is:
y(t)=aet+b (0.1)y(t)=ae t +b (0.1)
式中,t为机组轴承运行时长。当达到失效阈值Ff时,轴承的剩余寿命tRUL为Where t is the running time of the unit bearing. When the failure threshold F f is reached, the remaining life of the bearing t RUL is
tRUL=tpf-ta (0.2)t RUL = t pf - t a (0.2)
式中,ta是轴承故障预警时间,tpf是预测出的机组停机时间。考虑风机轴承实际运行寿命存在不确定性,通过拟合曲线参数估计的置信区间,给出失效预测趋势变化的上下限,从而得到机组轴承的剩余寿命区间,进而定量化剩余寿命的不确定性。由此,通过LSTM-WPHM混合模型,实现对风电机组停机前的故障预警和剩余寿命预测的有机结合。In the formula, ta is the bearing fault warning time, and tpf is the predicted unit downtime. Considering the uncertainty of the actual operating life of the wind turbine bearing, the upper and lower limits of the failure prediction trend change are given by fitting the confidence interval of the curve parameter estimation, so as to obtain the remaining life interval of the unit bearing, and then quantify the uncertainty of the remaining life. Therefore, the LSTM-WPHM hybrid model is used to achieve an organic combination of fault warning and remaining life prediction before the wind turbine is shut down.
实施验证Implementation verification
以某海上风场实际运行数据为例验证本发明提出的方法,流程如下:The actual operation data of a certain offshore wind farm is used as an example to verify the method proposed in the present invention. The process is as follows:
1.使用OAKR模型进行故障预警,发生故障报警后进行以下步骤;1. Use the OAKR model for fault warning. After a fault alarm occurs, perform the following steps;
2.受变转速、变工况以及环境变化的影响,轴承温度会呈现周期性的波动,根据专家知识和故障机理,选取绕组温度、转速、风速、有功功率、环境温度和机舱温度6个影响驱动端轴承温度的变量数据进行分析;2. Affected by variable speed, variable working conditions and environmental changes, the bearing temperature will fluctuate periodically. Based on expert knowledge and fault mechanism, six variable data affecting the drive-end bearing temperature, including winding temperature, speed, wind speed, active power, ambient temperature and cabin temperature, are selected for analysis;
3.选取4MW风电机组中的24台故障机组和75台健康机组2016年到2019年的SCADA数据作为训练集,对所提出的LSTM-WPHM混合模型进行训练;3. The SCADA data of 24 faulty units and 75 healthy units in 4MW wind turbines from 2016 to 2019 were selected as the training set to train the proposed LSTM-WPHM hybrid model;
4.利用24台故障机组和20台健康机组2020年的SCADA数据作为测试集,对模型和方法进行验证;4. Use the SCADA data of 24 faulty units and 20 healthy units in 2020 as a test set to verify the model and method;
5.使用测试集数据对本发明进行验证;5. Use the test set data to verify the present invention;
6.寿命预测结果。6. Life expectancy prediction results.
如表1所示,机组报警整体准确率为78.7%,误报率为4.3%,故障预测平均提前时间为13天7小时。As shown in Table 1, the overall accuracy of the unit alarm is 78.7%, the false alarm rate is 4.3%, and the average advance time for fault prediction is 13 days and 7 hours.
表1测试集机组报警结果Table 1 Test set unit alarm results
如图4所示,图4为测试集中漏报机组的2个分析案例,可以看出,模型未在机组故障时刻给出报警,从原始轴承温度可以看出,温度确定超过了系统报警预警。经模型分析后,轴承状态指标在故障发生时刻未有明显变化,原因可能是轴承温度超限主要受其它因素影响,并不是模型考虑的影响因素或机组自身故障所致,因此模型没有给出报警。As shown in Figure 4, Figure 4 is an analysis case of two units that were missed in the test set. It can be seen that the model did not give an alarm at the time of the unit failure. From the original bearing temperature, it can be seen that the temperature definitely exceeded the system alarm warning. After model analysis, the bearing status index did not change significantly at the time of the failure. The reason may be that the bearing temperature exceeding the limit is mainly affected by other factors, not the influencing factors considered by the model or the unit's own failure, so the model did not give an alarm.
综上,上述方法能够实现机组的故障预警和寿命预测,且减少机组的误报情况,同时可以识别出受环境因素影响而导致的系统漏报,由此证明了本发明所提出模型和方法针对机组异常状态下剩余寿命预测的准确性和有效性。In summary, the above method can realize fault warning and life prediction of the unit and reduce the false alarm of the unit. At the same time, it can identify the system underreporting caused by environmental factors, thereby proving the accuracy and effectiveness of the model and method proposed in the present invention for predicting the remaining life of the unit under abnormal conditions.
尽管参照前述实施例对本发明进行了详细的说明,对于本领域的技术人员来说,其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换,凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。Although the present invention has been described in detail with reference to the aforementioned embodiments, it is still possible for those skilled in the art to modify the technical solutions described in the aforementioned embodiments, or to make equivalent substitutions for some of the technical features therein. Any modifications, equivalent substitutions, improvements, etc. made within the spirit and principles of the present invention should be included in the protection scope of the present invention.
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CN118859902A (en) * | 2024-07-05 | 2024-10-29 | 大唐南京热电有限责任公司 | Data preprocessing method and fault warning system |
CN119046517A (en) * | 2024-10-30 | 2024-11-29 | 国网上海市电力公司 | CLCC life prediction and fault risk analysis method, system, equipment and medium |
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