WO2022166527A1 - Feedback optimization-based wind turbine blade fault monitoring method - Google Patents
Feedback optimization-based wind turbine blade fault monitoring method Download PDFInfo
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Definitions
- the invention belongs to the technical field of wind power generation, and in particular relates to a method for wind turbine blade fault monitoring which integrates technologies such as support vector machine and particle swarm algorithm.
- Support vector machine SVM Small Vector Machine
- Particle swarm optimization is a bionic optimization algorithm.
- a mathematical model is established. This algorithm Strong global search capability.
- a fault diagnosis of fan blade cracks based on wavelet packet analysis proposed by Liu Xiaobo et al. This method needs to monitor the vibration signal of the blade through the sensor, decompose the vibration signal by wavelet packet, reconstruct and analyze the characteristic changes in the frequency domain of each signal, Detect fan blade crack faults.
- a fault diagnosis method for wind turbine blades based on deep convolutional autoencoders and XGBoost proposed by researchers at the University of Electronic Science and Technology of China Then, the multi-layer deep convolutional auto-encoder is used for unsupervised feature extraction, and the feature vector with fault information is obtained, and then the feature vector is input into XGBoost for feature learning and classification, and finally the fault intelligence of wind turbine blades is realized. detection.
- Li Shaohui et al. believed that cracks in the blades would cause changes in some frequency bands of the aerodynamic signals.
- Car M et al. inspected wind turbine blades by a LiDAR-loaded drone.
- Joshuva A et al. carried out heuristic detection of wind turbine blade faults by establishing a decision tree for the vibration signal of wind turbine blades.
- the above research only considers a single factor, and the single factor does not necessarily have an absolute correlation with the failure of the fan blade. At the same time, the problem of fan blade failure is complex.
- the existing algorithm has a large number of iterations and a large amount of calculation, and the algorithm is easy to fall into the local optimal solution. .
- the purpose of the present invention is to solve the problem that the existing fan blade fault monitoring method considers a single factor, and the single factor does not necessarily have absolute correlation with the fan blade fault, which causes the technical problem that the fan blade fault cannot be effectively monitored accurately, Moreover, the problem of fan blade failure is complex, the existing algorithm has many iterations and a large amount of calculation, and the algorithm is easy to fall into the local optimal solution, which cannot well meet the needs of fan blade fault monitoring.
- the technical scheme adopted in the present invention is:
- a support vector machine fan blade fault monitoring method optimized based on improved learning factor particle swarm optimization comprising the following steps:
- Step 1 Build a data set for fan blade condition monitoring
- Step 2 Build a support vector machine model to segment the feature space of the fan blade data
- Step 3 Optimize and solve the parameters of the support vector machine model
- Step 4 Evaluate the support vector machine model.
- the data set consists of D samples (X i , Y i ), where X i ⁇ R n , Y i ⁇ ⁇ -1, +1 ⁇ , wherein the operation data of the fan blades are collected as feature vectors X i , the fan operation status label Y (normal is +1, fault is -1)) is collected at the same time, and each feature is normalized.
- ⁇ is the sample mean of the X i feature
- ⁇ is the sample standard deviation of the X t feature
- the above operating data includes wind speed, generator speed, ambient temperature, wind direction angle, yaw position, horizontal acceleration, vertical acceleration, angle, speed, switching temperature of blade 1, blade 2, and blade 3, and the DC current of the switching DC device. , one or more of the cabin temperature.
- the radial basis function is used to construct a nonlinear segmentation support vector machine model to segment the feature space of the fan blade data.
- K(x,y) is chosen as the radial basis function:
- ⁇ i [0, C]
- C is the penalty coefficient
- b is the offset
- sgn is the sign function
- the specific optimization objective function is:
- v is the velocity of the particle
- x is the position of the particle
- p best is the optimal solution found by the individual particle in the objective optimization function
- g best is the optimal solution found by the particle group in the objective optimization function.
- the optimal solution, t represents the t-th iteration
- rand(0,1) represents any value in the (0,1) interval.
- step 4 the optimal SVM model parameter values are obtained, and the SVM model is verified. If the target accuracy rate is not met, the SVM model will be retrained. At this time, the initial velocity and position of the particles are set as the optimal SVM model. The value corresponds to the speed and position multiplied by a certain weight.
- the result of the particle swarm optimization optimization is divided into the feature space by the support vector machine. After evaluation, if the result is not satisfactory, the evaluation result is fed back to the particle swarm optimization algorithm, and the optimization is continued, and the search range is enlarged, so as to Avoid getting stuck in a local optimum.
- the present invention has the following technical effects:
- the present invention uses the Cauchy probability density as a learning factor, and it is not easy to fall into the local optimal solution. Further, the present invention adopts a negative feedback method to avoid the optimization process from falling into the local optimal solution.
- the result of particle swarm optimization optimization After the support vector machine is divided in the feature space, after the evaluation, if the result is not satisfactory, the evaluation result is fed back to the particle swarm algorithm, and the optimization is continued, and the search range is enlarged, so as to avoid falling into the local optimal solution;
- the SVM model needs to be retrained.
- the initial speed and position of the particles are set to the current optimal SVM model value corresponding to the training.
- the particle velocity and position are multiplied by a weight of a certain multiple, in order to let the particle jump out of the local optimal solution when continuing to find the global optimal solution and prevent local oscillation;
- the present invention uses the characteristics of various fan blades as the input of the model, which greatly ensures the accuracy of the model;
- the present invention adopts the support vector machine model optimized by the particle swarm algorithm with the improved learning factor to detect the fault of the fan blade, solves the problem that the nonlinear SVM model is difficult to optimize, and is easy to fall into the local optimal area, and at the same time improves the fault diagnosis of electrical equipment. reliability.
- FIG. 1 is a flow chart of the present invention.
- a feedback optimization support vector machine fan blade fault monitoring method includes the following steps:
- Step 1 Build a data set for fan blade condition monitoring
- Step 2 Build a support vector machine model to segment the feature space of the fan blade data
- Step 3 Optimize and solve the parameters of the support vector machine model
- Step 4 Evaluate the support vector machine model.
- the data set consists of D samples (X i , Y i ), where X i ⁇ R n , Y i ⁇ ⁇ -1, +1 ⁇ , wherein the operation data of the fan blades are collected as feature vectors X i , the fan operation status label Y (normal is +1, fault is -1)) is collected at the same time, and each feature is normalized.
- the standardization process is:
- ⁇ is the sample mean of the X i feature
- ⁇ is the sample standard deviation of the X t feature
- the operating data includes wind speed, generator speed, ambient temperature, wind direction angle, yaw position, horizontal acceleration, vertical acceleration, angle, speed, switching temperature of blade 1, blade 2, blade 3, switching DC DC One or more of current and cabin temperature.
- the radial basis function is used to construct a nonlinear segmentation support vector machine model to segment the feature space of the fan blade data.
- the classification decision function of the constructed support vector machine model is:
- K(x,y) is chosen as the radial basis function:
- ⁇ i [0, C]
- C is the penalty coefficient
- b is the offset
- sgn is the sign function ;
- the specific optimization objective function is:
- x (t+1) x (t) + v (t) ;
- v is the velocity of the particle
- x is the position of the particle
- p best is the optimal solution found by the individual particle in the objective optimization function
- g best is the optimal solution found by the particle group in the objective optimization function.
- the optimal solution, t represents the t-th iteration
- rand(0,1) represents any value in the (0,1) interval.
- the speed and position of each particle are vectors in the domain space of the optimization function, calculate the fitness value of each particle, update the speed v and position x of each particle, and each particle
- the speed and position of is related to the individual optimal solution p best and the group optimal solution g best .
- the Cauchy probability density is used as the learning factor.
- the present invention uses the Cauchy probability density as the learning factor, so it is not easy to fall into the local optimal solution. Further, the present invention adopts the negative feedback method to avoid the optimization process from falling into the local optimal solution.
- the support vector machine is divided in the feature space. After evaluation, if the result is not satisfactory, the evaluation result will be fed back to the particle swarm algorithm, and the optimization will continue to be searched, and the search range will be enlarged, so as to avoid falling into the local optimal solution;
- the learning factors C 1 and C 2 are certain multiples of the Cauchy probability of the sum of the squares of the L 2 norm of all particle velocities and position vectors at each iteration;
- the Cauchy probability is used as a learning factor. Because the Cauchy probability density function is flat, it is not easy for the particle swarm optimization algorithm to enter the local optimal solution.
- step 4 the optimal SVM model parameter values are obtained, and 10-fold cross-validation is performed on the SVM model. If the target accuracy rate is not met, the SVM model will be retrained. At this time, the initial velocity and position of the particles are set to be optimal The SVM model values corresponding to velocity and position are multiplied by 1.5 times the weight.
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Abstract
Description
本发明属于风力发电技术领域,尤其涉及一种融合支持向量机、粒子群算法等技术的用于风机叶片故障监测的方法。The invention belongs to the technical field of wind power generation, and in particular relates to a method for wind turbine blade fault monitoring which integrates technologies such as support vector machine and particle swarm algorithm.
在当前加快调整优化产业结构,能源结构,大力发展新能源的背景下,我国的风电装机量正在节节增高。风力发电在运行的过程中不会产生温室气体,不会对生态环境造成破坏,是我国大力发展的新能源产业。目前,及时可靠地发现风机叶片的故障是电厂运维人员的一个重要工作。Under the background of accelerating the adjustment and optimization of industrial structure, energy structure, and vigorously developing new energy, my country's wind power installed capacity is increasing steadily. Wind power generation will not generate greenhouse gases during the operation, and will not cause damage to the ecological environment. It is a new energy industry vigorously developed in my country. At present, timely and reliable detection of fan blade failures is an important task for power plant operation and maintenance personnel.
支持向量机SVM(Support Vector Machine)可以在高维特征空间下解决非线性的分割问题,粒子群算法是一种仿生的优化算法,通过对模拟鸟类的觅食过程,建立数学模型,该算法全局搜索能力强。Support vector machine SVM (Support Vector Machine) can solve nonlinear segmentation problems in high-dimensional feature space. Particle swarm optimization is a bionic optimization algorithm. By simulating the foraging process of birds, a mathematical model is established. This algorithm Strong global search capability.
目前在风机叶片故障监测上的主要研究如下:At present, the main researches on the fault monitoring of wind turbine blades are as follows:
刘晓波等提出的一种基于小波包分析的风机叶片裂纹故障诊断,该方法需要通过传感器监测叶片的振动信号,通过对振动信号进行小波包分解,重构分析每个信号频域的特征变化,来检测风机叶片裂纹故障。A fault diagnosis of fan blade cracks based on wavelet packet analysis proposed by Liu Xiaobo et al. This method needs to monitor the vibration signal of the blade through the sensor, decompose the vibration signal by wavelet packet, reconstruct and analyze the characteristic changes in the frequency domain of each signal, Detect fan blade crack faults.
电子科技大学研究人员提出的一种基于深度卷积自编码器和XGBoost的风力发电机叶片故障诊断方法,该诊断方法首先采用主成分分析对原始风力发电机叶片根部采集到的光纤载荷信号进行降维处理,然后采用多层深度卷积自编码器进行无监督地特征提取,得到具有故障信息的特征向量,之后将特征向量输入到XGBoost中进行特征学习和分类,最终实现风力发电机叶片故障智能检测。A fault diagnosis method for wind turbine blades based on deep convolutional autoencoders and XGBoost proposed by researchers at the University of Electronic Science and Technology of China Then, the multi-layer deep convolutional auto-encoder is used for unsupervised feature extraction, and the feature vector with fault information is obtained, and then the feature vector is input into XGBoost for feature learning and classification, and finally the fault intelligence of wind turbine blades is realized. detection.
黎少辉等通过分析气动信号和风机叶片故障的关系,认为叶片的裂纹会导致气动信号的部分频带发生变化。Car M等人通过装载LiDAR的无人机对风机叶片进行检测。Joshuva A等人通过对风机叶片的振动信号建立决策树对风机叶片故障进行启发式检测。By analyzing the relationship between aerodynamic signals and fan blade failures, Li Shaohui et al. believed that cracks in the blades would cause changes in some frequency bands of the aerodynamic signals. Car M et al. inspected wind turbine blades by a LiDAR-loaded drone. Joshuva A et al. carried out heuristic detection of wind turbine blade faults by establishing a decision tree for the vibration signal of wind turbine blades.
以上研究只考虑了单一因素,单一因素和风机叶片的故障不一定具有绝对的相关性,同时,风机叶片故障问题复杂,现有的算法迭代次数多,计算量大,算法容易陷入局部最优解。The above research only considers a single factor, and the single factor does not necessarily have an absolute correlation with the failure of the fan blade. At the same time, the problem of fan blade failure is complex. The existing algorithm has a large number of iterations and a large amount of calculation, and the algorithm is easy to fall into the local optimal solution. .
发明内容SUMMARY OF THE INVENTION
本发明的目的是为了解决现有的风机叶片故障监测方法考虑因素单一,单一因素与风机叶片的故障不一定具有绝对的相关性,这样造成无法有效的对风机叶片故障进行准确监测的技术问题,而且风机叶片故障问题复杂,现有算法迭代次数多、计算量大,且算法容易陷入局部最优解,不能很好的满足风机叶片故障监测的需求。The purpose of the present invention is to solve the problem that the existing fan blade fault monitoring method considers a single factor, and the single factor does not necessarily have absolute correlation with the fan blade fault, which causes the technical problem that the fan blade fault cannot be effectively monitored accurately, Moreover, the problem of fan blade failure is complex, the existing algorithm has many iterations and a large amount of calculation, and the algorithm is easy to fall into the local optimal solution, which cannot well meet the needs of fan blade fault monitoring.
为解决上述技术问题,本发明所采用的技术方案是:For solving the above-mentioned technical problems, the technical scheme adopted in the present invention is:
一种基于改进学习因子粒子群算法优化的支持向量机风机叶片故障监测方法,包括以下步骤:A support vector machine fan blade fault monitoring method optimized based on improved learning factor particle swarm optimization, comprising the following steps:
步骤一:构建风机叶片状态监测的数据集;Step 1: Build a data set for fan blade condition monitoring;
步骤二:构建支持向量机模型来分割风机叶片数据的特征空间;Step 2: Build a support vector machine model to segment the feature space of the fan blade data;
步骤三:对支持向量机模型参数进行优化求解;Step 3: Optimize and solve the parameters of the support vector machine model;
步骤四:对支持向量机模型进行评估。Step 4: Evaluate the support vector machine model.
在步骤一中,数据集由D个样本(X
i,Y
i)够成,其中X
i∈R
n,Y
i∈{-1,+1},其中,采集风机叶片的运行数据作为特征向量X
i,同时采集风机运行状态标签Y(正常为+1,故障为-1)),并且对每一个特征进行标准化。
In
上述标准化过程为:The above normalization process is:
其中μ为X i特征的样本均值,σ为X t特征的样本标准差。 where μ is the sample mean of the X i feature, and σ is the sample standard deviation of the X t feature.
上述运行数据包括风速,发电机转速,环境温度,风向角,偏航位置,水平方向加速度,垂直方向加速度,叶片1、叶片2、叶片3的角度、速度、开关温度,开关直流器的直流电流,舱内温度其中的一种或多种。The above operating data includes wind speed, generator speed, ambient temperature, wind direction angle, yaw position, horizontal acceleration, vertical acceleration, angle, speed, switching temperature of
在步骤二中,采用径向基函数构建非线性分割的支持向量机模型来分割风机叶片数据的特征空间。In the second step, the radial basis function is used to construct a nonlinear segmentation support vector machine model to segment the feature space of the fan blade data.
上构建的支持向量机模型的分类决策函数为:The classification decision function of the support vector machine model constructed above is:
其中K(x,y)选择为径向基函数:where K(x,y) is chosen as the radial basis function:
α i的值域是[0,C],C是惩罚系数;b为偏移量,sgn为符号函数 The value range of α i is [0, C], C is the penalty coefficient; b is the offset, and sgn is the sign function
具体优化目标函数为:The specific optimization objective function is:
约束条件为:0≤α i≤C,i=1,2,....D Constraints are: 0≤α i ≤C, i=1,2,....D
在步骤三中,利用改进学习因子的粒子群算法优化求解支持向量机模型的α i,σ参数(i=1,2,.....,D)。 In step 3, the particle swarm algorithm with improved learning factor is used to optimize and solve the α i , σ parameters (i=1, 2, ....., D) of the support vector machine model.
上粒子群算法中粒子的速度和位置是优化函数定义域空间的向量,即v和x是α i,σ(i=1,2,....,D)参数空间的向量,速度和位置的迭代更新如下式: The velocity and position of the particle in the above particle swarm optimization are vectors in the domain space of the optimization function, that is, v and x are vectors in the parameter space of α i , σ (i=1,2,....,D), velocity and position The iterative update of is as follows:
x (t+1)=x (t)+v (t) x (t+1) = x (t) + v (t)
其中C 1和C 2为学习因子,v为粒子的速度,x为粒子的位置,p best为粒子个体的在目 标优化函数找到的最优解,g best为粒子群体在目标优化函数找到的最优解,t表示第t次迭代,rand(0,1)表示(0,1)区间内的任意值。 where C 1 and C 2 are learning factors, v is the velocity of the particle, x is the position of the particle, p best is the optimal solution found by the individual particle in the objective optimization function, and g best is the optimal solution found by the particle group in the objective optimization function. The optimal solution, t represents the t-th iteration, and rand(0,1) represents any value in the (0,1) interval.
具体包括以下优化步骤:Specifically, the following optimization steps are included:
1)设置粒子群算法的迭代步长m,设置粒子数N;1) Set the iterative step size m of the particle swarm algorithm, and set the number of particles N;
2)设置粒子的初始速度 和初始位置 其中 表示第i个粒子的第j次迭代的速度值, 表示第i个粒子的第j次迭代的位置,径向基函数的σ=[0.01,1000],惩罚系数C∈[0.1,500],学习因子C 1和C 2为每一次迭代所有粒子速度和位置向量的L 2范数的平方和的柯西概率的一定倍数; 2) Set the initial velocity of the particles and initial position in represents the velocity value of the jth iteration of the ith particle, represents the position of the jth iteration of the ith particle, the radial basis function σ=[0.01,1000], the penalty coefficient C∈[0.1,500], and the learning factors C1 and C2 are all particle velocities for each iteration and some multiple of the Cauchy probability of the sum of squares of the L2 norm of the position vector ;
3)根据初始化条件,计算目标函数的适应值;3) According to the initialization conditions, calculate the fitness value of the objective function;
4)根据适应值,循环更新粒子的速度和位置,个体的最优解p best,群体的最优解g best,其中第j(0≤j≤m)个粒子第t次(0≤t≤N)迭代的 其中第t次(0≤t≤N)迭代的 4) According to the fitness value, cyclically update the speed and position of the particle, the optimal solution p best of the individual, and the optimal solution g best of the group, where the jth (0≤j≤m) particle is the tth time (0≤t≤ N) iterative where the t-th (0≤t≤N) iteration is
min()min()
表示最小值。represents the minimum value.
5)根据终止条件,结束算法寻优过程:达到最大迭代次数或者两代速度和位置的L 2范数小于设定值即:||v (t+1)-v (t)||≤κ且||x (t+1)-x (t)||≤γ,其中κ和γ为精度设定值。 5) According to the termination conditions, end the algorithm optimization process: the maximum number of iterations is reached or the L 2 norm of the speed and position of the two generations is less than the set value, namely: ||v (t+1) -v (t) ||≤κ And ||x (t+1) -x (t) ||≤γ, where κ and γ are precision settings.
在步骤四中,获得最优的SVM模型参数值,对SVM模型进行验证,若不满足目标准确率则将重新训练SVM模型,此时将粒子的初始速度和位置设定为最优的SVM模型值对应的速度和位置乘以一定的权重。In step 4, the optimal SVM model parameter values are obtained, and the SVM model is verified. If the target accuracy rate is not met, the SVM model will be retrained. At this time, the initial velocity and position of the particles are set as the optimal SVM model. The value corresponds to the speed and position multiplied by a certain weight.
其中,粒子群算法寻优的结果,经过支持向量机在特征空间分割,经过评估后,若结果不理想,评估的结果重新反馈到粒子群算法中,继续寻优,并加大搜索范围,从而避免陷入局部最优解。Among them, the result of the particle swarm optimization optimization is divided into the feature space by the support vector machine. After evaluation, if the result is not satisfactory, the evaluation result is fed back to the particle swarm optimization algorithm, and the optimization is continued, and the search range is enlarged, so as to Avoid getting stuck in a local optimum.
与现有技术相比,本发明具有如下技术效果:Compared with the prior art, the present invention has the following technical effects:
1、本发明使用了柯西概率密度作为学习因子,不容易陷入局部最优解,进一步的,本发明采用了负反馈手段来避免寻优过程陷入局部最优解,粒子群算法寻优的结果,经过支持向量机在特征空间分割,经过评估后,若结果不理想,评估的结果重新反馈到粒子群算法中,继续寻优,并加大搜索范围,从而避免陷入局部最优解;1. The present invention uses the Cauchy probability density as a learning factor, and it is not easy to fall into the local optimal solution. Further, the present invention adopts a negative feedback method to avoid the optimization process from falling into the local optimal solution. The result of particle swarm optimization optimization , After the support vector machine is divided in the feature space, after the evaluation, if the result is not satisfactory, the evaluation result is fed back to the particle swarm algorithm, and the optimization is continued, and the search range is enlarged, so as to avoid falling into the local optimal solution;
2、本发明对在SVM模型交叉验证后,如果准确率不达到目标值时,需要重新训练SVM模型,此时粒子的初始速度和位置都设定为当前最优的SVM模型值训练时对应的粒子速 度和位置并乘以一定倍数的权重,为了让粒子在继续寻找全局最优解时跳出局部最优解,防止局部振荡;2. After the cross-validation of the SVM model, if the accuracy rate does not reach the target value, the SVM model needs to be retrained. At this time, the initial speed and position of the particles are set to the current optimal SVM model value corresponding to the training. The particle velocity and position are multiplied by a weight of a certain multiple, in order to let the particle jump out of the local optimal solution when continuing to find the global optimal solution and prevent local oscillation;
3、本发明利用多种风机叶片的特征作为模型的输入,极大地保证了模型的准确性;3. The present invention uses the characteristics of various fan blades as the input of the model, which greatly ensures the accuracy of the model;
4、本发明采用改进学习因子的粒子群算法优化的支持向量机模型对风机叶片进行故障检测,解决非线性SVM模型难优化,容易陷入局部最优区的问题,同时提高了电气设备故障诊断的可靠性。4. The present invention adopts the support vector machine model optimized by the particle swarm algorithm with the improved learning factor to detect the fault of the fan blade, solves the problem that the nonlinear SVM model is difficult to optimize, and is easy to fall into the local optimal area, and at the same time improves the fault diagnosis of electrical equipment. reliability.
下面结合附图和实施例对本发明作进一步说明:Below in conjunction with accompanying drawing and embodiment, the present invention will be further described:
图1为本发明的流程图。FIG. 1 is a flow chart of the present invention.
如图1所示,一种反馈寻优支持向量机风机叶片故障监测方法,包括以下步骤:As shown in Figure 1, a feedback optimization support vector machine fan blade fault monitoring method includes the following steps:
步骤一:构建风机叶片状态监测的数据集;Step 1: Build a data set for fan blade condition monitoring;
步骤二:构建支持向量机模型来分割风机叶片数据的特征空间;Step 2: Build a support vector machine model to segment the feature space of the fan blade data;
步骤三:对支持向量机模型参数进行优化求解;Step 3: Optimize and solve the parameters of the support vector machine model;
步骤四:对支持向量机模型进行评估。Step 4: Evaluate the support vector machine model.
在步骤一中,数据集由D个样本(X
i,Y
i)够成,其中X
i∈R
n,Y
i∈{-1,+1},其中,采集风机叶片的运行数据作为特征向量X
i,同时采集风机运行状态标签Y(正常为+1,故障为-1)),并且对每一个特征进行标准化。
In
所述标准化过程为:The standardization process is:
其中μ为X i特征的样本均值,σ为X t特征的样本标准差。 where μ is the sample mean of the X i feature, and σ is the sample standard deviation of the X t feature.
其中,运行数据包括风速,发电机转速,环境温度,风向角,偏航位置,水平方向加速度,垂直方向加速度,叶片1、叶片2、叶片3的角度、速度、开关温度,开关直流器的直流电流,舱内温度其中的一种或多种。Among them, the operating data includes wind speed, generator speed, ambient temperature, wind direction angle, yaw position, horizontal acceleration, vertical acceleration, angle, speed, switching temperature of
在步骤二中,采用径向基函数构建非线性分割的支持向量机模型来分割风机叶片数据的特征空间。In the second step, the radial basis function is used to construct a nonlinear segmentation support vector machine model to segment the feature space of the fan blade data.
所构建的支持向量机模型的分类决策函数为:The classification decision function of the constructed support vector machine model is:
其中K(x,y)选择为径向基函数:where K(x,y) is chosen as the radial basis function:
α i的值域是[0,C],C是惩罚系数,b为偏移量,sgn为符号 函数 ; The value range of α i is [0, C], C is the penalty coefficient, b is the offset, and sgn is the sign function ;
具体优化目标函数为:The specific optimization objective function is:
约束条件为:0≤α i≤C,i=1,2,....D Constraints are: 0≤α i ≤C, i=1,2,....D
在步骤三中,利用改进学习因子的粒子群算法优化求解支持向量机模型的α i,σ参数(i=1,2,.....,D)。 In step 3, the particle swarm algorithm with improved learning factor is used to optimize and solve the α i , σ parameters (i=1, 2, ....., D) of the support vector machine model.
其中,粒子群算法中粒子的速度和位置是优化函数定义域空间的向量,即v和x是α i,σ(i=1,2,....,D)参数空间的向量; Among them, the speed and position of the particle in the particle swarm optimization algorithm are the vectors in the domain space of the optimization function, that is, v and x are the vectors in the parameter space of α i , σ (i=1,2,....,D);
速度和位置的迭代更新如下式:The iterative update of velocity and position is as follows:
x (t+1)=x (t)+v (t); x (t+1) = x (t) + v (t) ;
其中C 1和C 2为学习因子,v为粒子的速度,x为粒子的位置,p best为粒子个体的在目标优化函数找到的最优解,g best为粒子群体在目标优化函数找到的最优解,t表示第t次迭代,rand(0,1)表示(0,1)区间内的任意值。 where C 1 and C 2 are learning factors, v is the velocity of the particle, x is the position of the particle, p best is the optimal solution found by the individual particle in the objective optimization function, and g best is the optimal solution found by the particle group in the objective optimization function. The optimal solution, t represents the t-th iteration, and rand(0,1) represents any value in the (0,1) interval.
在进行优化求解时,首先设定粒子数目,每一个粒子的速度和位置是优化函数定义域空间的向量,计算每一个粒子的适应值,更新每一个粒子的速度v和位置x,每一个粒子的速度和位置和个体的最优解p best和群体最优解g best有关,这里为了平缓求解过程,采用柯西概率密度作为学习因子。 When performing the optimization solution, first set the number of particles, the speed and position of each particle are vectors in the domain space of the optimization function, calculate the fitness value of each particle, update the speed v and position x of each particle, and each particle The speed and position of is related to the individual optimal solution p best and the group optimal solution g best . In order to smooth the solution process, the Cauchy probability density is used as the learning factor.
本发明使用了柯西概率密度作为学习因子,不容易陷入局部最优解,进一步的,本发明采用了负反馈手段来避免寻优过程陷入局部最优解,粒子群算法寻优的结果,经过支持向量机在特征空间分割,经过评估后,若结果不理想,评估的结果重新反馈到粒子群算法中,继续寻优,并加大搜索范围,从而避免陷入局部最优解;The present invention uses the Cauchy probability density as the learning factor, so it is not easy to fall into the local optimal solution. Further, the present invention adopts the negative feedback method to avoid the optimization process from falling into the local optimal solution. The support vector machine is divided in the feature space. After evaluation, if the result is not satisfactory, the evaluation result will be fed back to the particle swarm algorithm, and the optimization will continue to be searched, and the search range will be enlarged, so as to avoid falling into the local optimal solution;
作为可实施的,提供以下优化步骤:As implementable, the following optimization steps are provided:
1)设置粒子群算法的迭代步长m=1500,设置粒子数N=20;1) Set the iterative step size of the particle swarm algorithm m=1500, and set the number of particles N=20;
2)设置粒子的初始速度 和初始位置 其中 表示第i个粒子的第j次迭代的速度值, 表示第i个粒子的第j次迭代的位置,径向基函数的σ∈[0.01,1000],惩罚系数C∈[0.1,500],学习因子C 1和C 2为每一次迭代所有粒子速度和位置向量的L 2范数的平方和的柯西概率的1.5倍和2.5倍, 2) Set the initial velocity of the particles and initial position in represents the velocity value of the jth iteration of the ith particle, represents the position of the jth iteration of the ith particle, the radial basis function σ∈[0.01,1000], the penalty coefficient C∈[0.1,500], and the learning factors C1 and C2 are all particle velocities for each iteration and 1.5 times and 2.5 times the Cauchy probability of the sum of squares of the L2 norm of the position vector,
学习因子C 1和C 2为每一次迭代所有粒子速度和位置向量的L 2范数的平方和的柯西概率的一定倍数; The learning factors C 1 and C 2 are certain multiples of the Cauchy probability of the sum of the squares of the L 2 norm of all particle velocities and position vectors at each iteration;
柯西概率作为学习因子,由于柯西概率密度函数平缓不容易让粒子群算法寻优的时候进入局部最优解。The Cauchy probability is used as a learning factor. Because the Cauchy probability density function is flat, it is not easy for the particle swarm optimization algorithm to enter the local optimal solution.
3)根据初始化条件,计算目标函数的适应值;3) According to the initialization conditions, calculate the fitness value of the objective function;
4)根据适应值,循环更新粒子的速度和位置,个体的最优解p best,群体的最优解g best,其中第j(0≤j≤m)个粒子第t次(0≤t≤N)迭代的 其中第t次(0≤t≤N)迭代的 4) According to the fitness value, cyclically update the speed and position of the particle, the optimal solution p best of the individual, and the optimal solution g best of the group, where the jth (0≤j≤m) particle is the tth time (0≤t≤ N) iterative where the t-th (0≤t≤N) iteration is
5)根据终止条件,结束算法寻优过程:达到最大迭代次数或者两代速度和位置的L 2范数小于设定值即:||v (t+1)-v (t)||≤κ且||x (t+1)-x (t)||≤γ,可以选择的κ=0.4,γ=0.8。 5) According to the termination conditions, end the algorithm optimization process: the maximum number of iterations is reached or the L 2 norm of the speed and position of the two generations is less than the set value, namely: ||v (t+1) -v (t) ||≤κ And ||x (t+1) -x (t) ||≤γ, κ=0.4 and γ=0.8 can be selected.
在步骤四中,获得最优的SVM模型参数值,对SVM模型进行10折交叉验证,若不满足目标准确率则将重新训练SVM模型,此时将粒子的初始速度和位置设定为最优的SVM模型值对应的速度和位置乘以1.5倍的权重。In step 4, the optimal SVM model parameter values are obtained, and 10-fold cross-validation is performed on the SVM model. If the target accuracy rate is not met, the SVM model will be retrained. At this time, the initial velocity and position of the particles are set to be optimal The SVM model values corresponding to velocity and position are multiplied by 1.5 times the weight.
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| CN112800682A (en) | 2021-05-14 |
| CN112800682B (en) | 2022-10-04 |
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