CN103335814A - Inclination angle measurement error data correction system and method of experimental model in wind tunnel - Google Patents

Inclination angle measurement error data correction system and method of experimental model in wind tunnel Download PDF

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CN103335814A
CN103335814A CN2013102308169A CN201310230816A CN103335814A CN 103335814 A CN103335814 A CN 103335814A CN 2013102308169 A CN2013102308169 A CN 2013102308169A CN 201310230816 A CN201310230816 A CN 201310230816A CN 103335814 A CN103335814 A CN 103335814A
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CN103335814B (en
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郝玉洁
谢艳
林劼
付波
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University of Electronic Science and Technology of China
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Abstract

The invention discloses an inclination angle measurement error data correction system and method of an experimental model in a wind tunnel when the experimental model is placed in the wind tunnel to be subjected to a blowing experiment. The inclination angle measurement data correction system comprises a data preprocessing module, a model training module and an error data correction module, and the correction method comprises three steps: data preprocessing, model training and error data correcting. The invention provides a multi-stage and multi-model fusion error correction method based on a neural network model as a basic model, the model fitting degree is higher, the calculation result is more accurate, the nonlinear error, caused by vibration of the model under the wind action, in data measured actually by an inclination angle sensor can be corrected well, and the correction error of the correction system can be controlled within 0.004-0.01 degree near the 0 degree.

Description

风洞中实验模型倾角测量误差数据修正系统及修正方法System and method for correcting error data of inclination angle measurement of experimental model in wind tunnel

技术领域 technical field

本发明涉及一种风洞中实验模型,吹风实验过程中风洞中实验模型倾角测量误差数据修正系统及修正方法。 The invention relates to an experimental model in a wind tunnel, a correction system and a correction method for the inclination angle measurement error data of the experimental model in the wind tunnel during the blowing experiment process.

背景技术 Background technique

目前,超音速和跨音速风洞模型的测量技术,越来越多地被运用于民品的生产和测试中,对测试技术的要求和精度也越来越高。由于风洞测试过程是一项复杂的空气动力实验,测试过程环节多,受测试工具和测试环境及测试人员的技术掌握水平等多方因素影响,对测试结论、测试精度及准确性都带来影响和误差。如何能得到准确的测试数据,剔除环境造成的精度影响,这对超音速和跨音速风洞的测量技术本身至关重要。 At present, the measurement technology of supersonic and transonic wind tunnel models is more and more used in the production and testing of civilian products, and the requirements and accuracy of testing technology are getting higher and higher. Since the wind tunnel test process is a complex aerodynamic experiment with many links, it is affected by many factors such as test tools, test environment, and tester's technical mastery level, which will affect the test conclusion, test precision and accuracy. and error. How to obtain accurate test data and eliminate the influence of the environment on accuracy is crucial to the measurement technology of supersonic and transonic wind tunnels.

风洞模型中固定在支架上与水平面有个夹角α,称之为倾角,可以使用模型内部的重力传感器测量出来。倾角传感器用于测量模型在加载后的实际攻角,位于检测系统的最前端。攻角测量值是检测系统其它数值运算的基础数据之一,其准确度直接影响到检测系统测试数据的准确度。而在实际的风洞测试中,模型会受到来自前后左右外力影响,外力影响产生的力矩作用在模型上,会使模型倾角的重力传感器测量产生误差。也就是在各种外力因素的影响下,倾角传感器所测得的数据存在误差。经分析,这误差主要是由于模型受到了不同方向上的振动力矩,以至于倾角传感器的工作环境不再稳定,所以通过该传感器所得到的数字信号存在误差,并不能真实的反映模型的攻角值。因此,通过倾角传感器得到的原始数字信号不能直接用于其他数值计算,需要对这个信号进行修正补偿,以保证测试数据能够真实反映受测情况。 In the wind tunnel model, there is an angle α between the bracket and the horizontal plane, which is called the inclination angle, which can be measured by the gravity sensor inside the model. The inclination sensor is used to measure the actual angle of attack of the model after loading, and is located at the forefront of the detection system. The measured value of the angle of attack is one of the basic data for other numerical operations of the detection system, and its accuracy directly affects the accuracy of the test data of the detection system. In the actual wind tunnel test, the model will be affected by external forces from the front, rear, left and right, and the torque generated by the external force will act on the model, which will cause errors in the measurement of the gravity sensor of the model's inclination angle. That is, under the influence of various external force factors, there are errors in the data measured by the inclination sensor. After analysis, this error is mainly due to the fact that the model is subjected to vibration moments in different directions, so that the working environment of the inclination sensor is no longer stable, so there is an error in the digital signal obtained by the sensor, which cannot truly reflect the angle of attack of the model value. Therefore, the original digital signal obtained by the inclination sensor cannot be directly used for other numerical calculations, and this signal needs to be corrected and compensated to ensure that the test data can truly reflect the tested situation.

为了减少误差量,在补偿系统建模时,常常采用非线性的数学模型,而一般不采用线性模型。在非线性模型系统中,常用的数据误差补偿方法有逐次逼近法、最小二乘多项式曲线拟合方法、自适应滤波方法、拟合误差补偿公式法,三次样条插值以及用神经网络的方法等。 In order to reduce the amount of error, nonlinear mathematical models are often used when modeling compensation systems, and linear models are generally not used. In the nonlinear model system, the commonly used data error compensation methods include successive approximation method, least squares polynomial curve fitting method, adaptive filtering method, fitting error compensation formula method, cubic spline interpolation and neural network method, etc. .

由于模型受风产生振动所产生力矩的复杂性和必然性,倾角传感器数据因模型振动所产生的误差总是存在,并且这个误差通常是多个变量的复杂函数或模型。如果用常规的数学拟合方法去求得这个函数,那么要解决的关键问题除了要对可能的变量进行合理的数学描述,更要对环境中存在的变量尽可能多地发掘,另外还需要精确的数学模型来描述这些变量之间的关系,对风洞中振动误差拟合模型进行人为精确定义是很困难的,且模型的扩展能力也得不到保证。近期,数据误差修正技术领域提出采用神经网络技术进行误差补偿值拟合的新技术。由于神经网络不需要精确的数学模型,非线性映射能力好,擅长从输入输出数据中学习有用的知识,揭示数据特征,处理随机因素。利用神经网络的方法来解决如何描述数据环境与数据误差之间的关系,通过对神经网络充分的训练,利用神经网络自组织优化建模的能力,不断的以训练数据进行自组织优化,从而形成最优的且适应能力强的误差补偿模型,提升精确误差数据修正能力。 Due to the complexity and inevitability of the torque generated by the vibration of the model by the wind, the error of the inclination sensor data due to the vibration of the model always exists, and this error is usually a complex function or model of multiple variables. If the conventional mathematical fitting method is used to obtain this function, then the key problem to be solved is not only to make a reasonable mathematical description of the possible variables, but also to explore as many variables as possible in the environment. It is very difficult to define the exact mathematical model of the vibration error in the wind tunnel to describe the relationship between these variables, and the expansion ability of the model cannot be guaranteed. Recently, in the field of data error correction technology, a new technology of using neural network technology for error compensation value fitting has been proposed. Since the neural network does not require an accurate mathematical model, it has good nonlinear mapping ability, and is good at learning useful knowledge from input and output data, revealing data characteristics, and dealing with random factors. Using the neural network method to solve how to describe the relationship between the data environment and the data error, through the sufficient training of the neural network, using the ability of the neural network to self-organize and optimize the modeling, and continuously carry out self-organization optimization with the training data, thus forming The optimal and adaptable error compensation model improves the ability to correct accurate error data.

发明内容 Contents of the invention

本发明的目的在于改进现有误差补偿技术的性能,提供一种能有效修正倾角传感器实测数据中由于振动而引起的非线性误差,并且倾角值修正误差可控在0角度附近0.004~0.01精度之内的风洞中实验模型倾角测量误差数据修正系统及修正方法。 The purpose of the present invention is to improve the performance of the existing error compensation technology, to provide a method that can effectively correct the non-linear error caused by vibration in the measured data of the inclination sensor, and the correction error of the inclination value can be controlled within 0.004 to 0.01 accuracy near the 0 angle. The invention relates to a correction system and correction method for the inclination angle measurement error data of the experimental model in the wind tunnel.

本发明的目的是通过以下技术方案来实现的:风洞中实验模型倾角测量误差数据修正系统,它包括以下模块: The object of the present invention is achieved through the following technical solutions: the experimental model inclination angle measurement error data correction system in the wind tunnel, which includes the following modules:

数据预处理模块:对输入数据进行预处理,提取震动误差特征向量,系统误差修正模型训练过程与数据修正过程都包含数据预处理模块,但是在误差修正模型训练过程与数据修正过程中预处理模块完成不同工作; Data preprocessing module: Preprocessing the input data, extracting the vibration error feature vector, the system error correction model training process and the data correction process both include the data preprocessing module, but the preprocessing module in the error correction model training process and the data correction process complete different tasks;

模型训练模块:根据事先采集得到的训练数据与目标数据建立以角度、频率和振幅为输入变量参数,误差修正值为输出的联合误差修正模型,该模块包括模型特征向量提取子模块和模型训练子模块; Model training module: according to the training data and target data collected in advance, establish a joint error correction model with angle, frequency and amplitude as input variable parameters, and error correction value as output. This module includes model feature vector extraction sub-module and model training sub-module module;

数据修正模块:根据误差修正过程中数据预处理模块获得的各段输入数据,提取各段输入数据的特征向量,并将特征向量输入事先训练得到的联合误差修正模型,获得误差修正值,将修正值加到原始输入,得到修正后的数据。 Data correction module: According to the input data of each segment obtained by the data preprocessing module in the error correction process, the feature vector of each segment of input data is extracted, and the feature vector is input into the joint error correction model obtained in advance to obtain the error correction value, and the correction Values are added to the original input to obtain the corrected data.

风洞中实验模型倾角测量误差数据的修正方法,它包括数据预处理、模型训练和数据修正三个步骤,模型训练和数据修正都包含数据预处理模块,但是在模型训练与数据修正中预处理模块完成不同工作; The correction method of the inclination measurement error data of the experimental model in the wind tunnel includes three steps: data preprocessing, model training and data correction. Both model training and data correction include data preprocessing modules, but preprocessing in model training and data correction Modules perform different tasks;

所述的模型训练步骤中数据预处理包括以下子步骤: Data preprocessing in the described model training step includes the following sub-steps:

S101:加载目标数据和训练数据至修正系统,并对目标数据曲线和训练数据曲线进行下采样; S101: Load target data and training data to the correction system, and down-sample the target data curve and training data curve;

S102:分别对目标数据曲线和训练数据的曲线进行小波变换及平滑处理,得到它们的高频和低频数据; S102: respectively performing wavelet transform and smoothing processing on the target data curve and the training data curve to obtain their high-frequency and low-frequency data;

S103:对目标数据曲线的高低频数据分别与所有训练数据曲线的高低频求差,得到用于训练模型的输入(高频之差)和(低频之差)输出数据集合; S103: Calculate the difference between the high and low frequency data of the target data curve and the high and low frequencies of all the training data curves to obtain the input (difference of high frequency) and output data set (difference of low frequency) used for training the model;

所述的数据修正步骤中数据预处理包括以下子步骤: Data preprocessing in the described data correction step includes the following sub-steps:

S201:加载目标数据及各个待修正数据至系统,并对目标曲线和待修正曲线进行下采样; S201: Load the target data and each data to be corrected to the system, and down-sample the target curve and the curve to be corrected;

S202:分别对目标曲线和待修正曲线进行小波变换及平滑处理,得到它们的高频和低频数据; S202: performing wavelet transformation and smoothing processing on the target curve and the curve to be corrected respectively, to obtain their high-frequency and low-frequency data;

S203:对目标曲线的高低频数据分别与待修正曲线的高低频求差,得到误差修正模型的输入(高频之差)数据和参考曲线; S203: Calculate the difference between the high and low frequency data of the target curve and the high and low frequency of the curve to be corrected, and obtain the input (high frequency difference) data and the reference curve of the error correction model;

S204:根据端点检测的结果对获得的输入数据进行分段; S204: Segment the obtained input data according to the result of the endpoint detection;

所述的模型训练步骤包括以下子步骤: The described model training step comprises the following sub-steps:

S301:根据模型训练步骤中预处理获得的输入数据,提取修正特征; S301: Extract corrected features according to the input data obtained by preprocessing in the model training step;

S302:以模型训练过程中预处理模块获得的输出数据为输出值,S301中获得的修正特征为输入值,构成训练数据集合,系统以修正特征向量值的每一维作为一单元变量,将训练数据集合中表征每一个单元变量数据变化的训练数据子集划分为该单元变量的模型训练集合,分别训练以各个单元变量为输入变量参数,输出数据为输出值的N个(N=单元变量个数)单元变化模型,并存储为中间结果; S302: The output data obtained by the preprocessing module in the model training process is used as the output value, and the corrected features obtained in S301 are used as input values to form a training data set. The system takes each dimension of the corrected feature vector value as a unit variable, and trains The training data subset representing the data change of each unit variable in the data set is divided into the model training set of the unit variable, and each unit variable is used as the input variable parameter for training, and the output data is N of the output value (N=unit variable number number) unit variation model and stored as an intermediate result;

S303:以S302划分得到的各个单位变量训练数据子集中各特征值为中心点,在一定范围内对其插值,分别获得插之后的各个单元变量的新的特征值集合; S303: Using the center point of each eigenvalue in each unit variable training data subset obtained by dividing in S302, interpolate it within a certain range, and respectively obtain a new eigenvalue set of each unit variable after interpolation;

S304:将S303中获得的各个单元变量新的特征值集合,分别带入S302获得的单元变化模型获得各个模型的输出值,并将新的各个单元变量特征值集合和各个模型输出值,一同构成一维变化训练数据集合,并存储用于后续的模型训练; S304: Bring the new eigenvalue sets of each unit variable obtained in S303 into the unit change model obtained in S302 to obtain the output values of each model, and combine the new eigenvalue sets of each unit variable and the output values of each model together to form One-dimensionally change the training data set and store it for subsequent model training;

S305:利用S304得到的一维变化训练数据集合,基于Krging曲面拟合算法,分别拟合以任意两个单元变量值和对应模型输出值为三维坐标的M(M=                                                

Figure 2013102308169100002DEST_PATH_IMAGE001
)个空间曲面,曲面中每个点为由2维单元变量值和对应模型输出值构成的一向量; S305: Using the one-dimensional change training data set obtained in S304, based on the Krging surface fitting algorithm, respectively fitting M with any two unit variable values and corresponding model output values as three-dimensional coordinates (M=
Figure 2013102308169100002DEST_PATH_IMAGE001
) a spatial surface, each point in the surface is a vector composed of 2-dimensional unit variable values and corresponding model output values;

S306:在S305中生成的M各空间曲面中每个曲面上各抽样K个点,构成KxM个元素的误差数据训练集合,集合中每个点为一四维向量,用该误差数据训练集合训练误差修正模型Q,并保存于系统用于误差数据修正过程; S306: Sampling K points on each of the M spatial surfaces generated in S305 to form an error data training set of KxM elements, each point in the set is a four-dimensional vector, and use the error data training set to train Error correction model Q, which is stored in the system for error data correction process;

所述的数据修正包括以下子步骤: The data correction includes the following sub-steps:

S401:提取数据修正步骤中数据预处理获得的输入数据,并对各个输入分段,将数据组织成列长一定的矩阵; S401: Extracting input data obtained by data preprocessing in the data correction step, and segmenting each input, and organizing the data into a matrix with a certain column length;

S402:同S301采用相同方法提取每段数据的特征值,并将各段数据的特征值带入训练好的误差修正模型获得各段数据的误差修正值; S402: Using the same method as S301 to extract the eigenvalues of each segment of data, and bringing the eigenvalues of each segment of data into the trained error correction model to obtain the error correction value of each segment of data;

S403 :将各段数据的误差修正值连接,组成完整的误差修正值,并进行上采样形成最终的误差修正量; S403: Connect the error correction values of each segment of data to form a complete error correction value, and perform upsampling to form the final error correction value;

S404:最终的误差修正量与原始带修正的数据相加获得修正后的倾角传感器数据。 S404: Add the final error correction amount to the original data with correction to obtain corrected inclination sensor data.

所述的模型训练步骤中的单元变量为包括频率h、幅度f和角度a。 The unit variables in the model training step include frequency h, amplitude f and angle a.

本发明的优点在于: The advantages of the present invention are:

1.基于神经网络模型构建多阶段、多模型融合误差修正方法,所构建的模型具有快速学习并能逼近任意的内部模型和内部模型控制器,从而很好的对倾角传感器数据进行误差修正,使模型拟合度更高,误差补偿结果更准确。 1. Based on the neural network model to build a multi-stage, multi-model fusion error correction method, the constructed model has fast learning and can approach any internal model and internal model controller, so that the error correction of the inclination sensor data is very good, so that the model simulates The degree of fit is higher, and the result of error compensation is more accurate.

2.通过训练多种振动频率与振动强度下的神经网络修正模型,在输入倾角传感器数据时,基于多模型与多阶段数据修正算法对误差倾角传感器数据进行修正;能够有效修正倾角传感器实测数据中由于振动而引起的非线性误差,并且倾角误差修正值可控在0角度附近0.004~0.01精度之内。 2. By training the neural network correction model under various vibration frequencies and vibration intensities, when the inclination sensor data is input, the error inclination sensor data is corrected based on the multi-model and multi-stage data correction algorithm; it can effectively correct the vibration caused by the actual measurement data of the inclination sensor The non-linear error caused by it, and the correction value of the inclination error can be controlled within the accuracy of 0.004-0.01 around the 0 angle.

附图说明 Description of drawings

图1为本发明系统框架图; Fig. 1 is a system frame diagram of the present invention;

图2系统模型训练过程中数据预处理流程图; Figure 2 Flowchart of data preprocessing during system model training;

图3系统数据修正过程中数据预处理流程图; Figure 3 is a flow chart of data preprocessing in the process of system data correction;

图4为本发明的模型训练方法流程图; Fig. 4 is a flow chart of the model training method of the present invention;

图5为误差数据修正模型的神经网络结构示意图; Fig. 5 is a schematic diagram of the neural network structure of the error data correction model;

图6为本发明数据修正流程图。 Fig. 6 is a flow chart of data correction in the present invention.

具体实施方式 Detailed ways

训练数据集:事先通过击震装置,在不同频率、振幅和倾角条件下对实验模型进行击励震动,采集获得的在不同频率、不同振幅和不同倾角下的

Figure 114330DEST_PATH_IMAGE002
个倾角传感器数据。 Training data set: Vibrate the experimental model under the conditions of different frequencies, amplitudes and inclinations through the shock device in advance, and collect the data obtained at different frequencies, different amplitudes and different inclinations.
Figure 114330DEST_PATH_IMAGE002
tilt sensor data.

目标数据:人为认定的无误差的倾角传感器数据。 Target data: artificially determined error-free inclination sensor data.

下面结合附图进一步说明本发明的技术方案,但本发明所保护的内容不局限于以下所述。 The technical solution of the present invention will be further described below in conjunction with the accompanying drawings, but the content protected by the present invention is not limited to the following description.

如图1所示,风洞中实验模型倾角测量误差数据修正系统,它包括以下模块: As shown in Figure 1, the inclination measurement error data correction system of the experimental model in the wind tunnel includes the following modules:

数据预处理模块:对输入数据进行预处理,提取震动误差特征向量,系统误差修正模型训练过程与数据修正过程都包含数据预处理模块,但是在误差修正模型训练过程与数据修正过程中预处理模块完成不同工作; Data preprocessing module: Preprocessing the input data, extracting the vibration error feature vector, the system error correction model training process and the data correction process both include the data preprocessing module, but the preprocessing module in the error correction model training process and the data correction process complete different tasks;

模型训练模块:根据事先采集得到的训练数据与目标数据建立以角度、频率和振幅为输入变量参数,误差修正值为输出的联合误差修正模型,该模块包括模型特征向量提取子模块和模型训练子模块; Model training module: according to the training data and target data collected in advance, establish a joint error correction model with angle, frequency and amplitude as input variable parameters, and error correction value as output. This module includes model feature vector extraction sub-module and model training sub-module module;

数据修正模块:根据误差修正过程中数据预处理模块获得的各段输入数据,提取各段输入数据的特征向量,并将特征向量输入事先训练得到的联合误差修正模型,获得误差修正值,将修正值加到原始输入,得到修正后的数据。 Data correction module: According to the input data of each segment obtained by the data preprocessing module in the error correction process, the feature vector of each segment of input data is extracted, and the feature vector is input into the joint error correction model obtained in advance to obtain the error correction value, and the correction Values are added to the original input to obtain the corrected data.

风洞中实验模型倾角测量误差数据的修正方法,它包括数据预处理、模型训练和数据修正三个步骤,模型训练和数据修正都包含数据预处理模块,但是在模型训练与数据修正中预处理模块完成不同工作; The correction method of the inclination measurement error data of the experimental model in the wind tunnel includes three steps: data preprocessing, model training and data correction. Both model training and data correction include data preprocessing modules, but preprocessing in model training and data correction Modules perform different tasks;

如图2所示,所述的模型训练步骤中数据预处理包括以下子步骤: As shown in Figure 2, the data preprocessing in the described model training step includes the following sub-steps:

S101:加载目标数据和训练数据至修正系统,对目标数据曲线和训练数据曲线进行

Figure 2013102308169100002DEST_PATH_IMAGE003
倍下采样,获得下采样后的目标数据和各个训练数据的压缩数据; S101: Load the target data and training data to the correction system, and carry out the target data curve and the training data curve
Figure 2013102308169100002DEST_PATH_IMAGE003
times downsampling to obtain the downsampled target data and the compressed data of each training data;

S102:分别对每个压缩数据进行连续小波变换,然后进行平滑滤波处理,得到每个压缩数据的高频和低频两部分频率数据; S102: Perform continuous wavelet transform on each compressed data, and then perform smoothing and filtering processing to obtain two parts of frequency data of high frequency and low frequency of each compressed data;

S103:对目标数据曲线的高低频数据分别与所有训练数据曲线的高低频求差,得到用于训练模型的输入

Figure 31471DEST_PATH_IMAGE004
(高频之差)和
Figure 2013102308169100002DEST_PATH_IMAGE005
(低频之差)(
Figure 811208DEST_PATH_IMAGE006
 )输出数据集合; S103: Calculate the difference between the high and low frequency data of the target data curve and the high and low frequencies of all training data curves to obtain the input for training the model
Figure 31471DEST_PATH_IMAGE004
(difference in high frequency) and
Figure 2013102308169100002DEST_PATH_IMAGE005
(difference in low frequency) (
Figure 811208DEST_PATH_IMAGE006
) output data set;

如图3所示,数据修正步骤中数据预处理包括以下子步骤: As shown in Figure 3, the data preprocessing in the data correction step includes the following sub-steps:

S201:加载目标数据及各个待修正数据至系统,并对目标曲线和待修正曲线进行

Figure 144100DEST_PATH_IMAGE003
倍下采样,获得下采样后的目标数据和待修正数据的压缩数据;  S201: Load the target data and each data to be corrected to the system, and carry out the target curve and the curve to be corrected
Figure 144100DEST_PATH_IMAGE003
times downsampling to obtain the downsampled target data and the compressed data of the data to be corrected;

S202:分别对目标数据和待修正数据的压缩数据进行连续小波变换,然后进行平滑滤波处理,得到它们的高频和低频两部分数据; S202: Perform continuous wavelet transform on the compressed data of the target data and the data to be corrected respectively, and then perform smoothing and filtering processing to obtain their high-frequency and low-frequency data;

S203:将目标数据的高低频曲线分别与待修正数据的高低频求差,得到误差修正模型的输入(高频之差) 数据和参考曲线。 S203: Calculate the difference between the high and low frequency curves of the target data and the high and low frequencies of the data to be corrected to obtain the input of the error correction model (difference in high frequency) data and reference curves.

S204:根据端点检测的结果将

Figure 958473DEST_PATH_IMAGE008
分为
Figure 2013102308169100002DEST_PATH_IMAGE009
 段,并对每段后续分别进行补偿; S204: According to the result of endpoint detection, the
Figure 958473DEST_PATH_IMAGE008
Divided into
Figure 2013102308169100002DEST_PATH_IMAGE009
segment, and compensate each subsequent segment separately;

如图4所示,修正模型训练步骤包括以下子步骤: As shown in Figure 4, the correction model training step includes the following sub-steps:

S301:根据模型训练步骤中预处理获得的输入数据获得

Figure 469351DEST_PATH_IMAGE004
Figure 736384DEST_PATH_IMAGE006
 ),提取修正特征,具体步骤如下: S301: Obtain according to the input data obtained by preprocessing in the model training step
Figure 469351DEST_PATH_IMAGE004
(
Figure 736384DEST_PATH_IMAGE006
), extract the corrected features, the specific steps are as follows:

S3011:对

Figure 935284DEST_PATH_IMAGE004
进行短时傅里叶变换,获得
Figure 604163DEST_PATH_IMAGE004
每个点的频率数据; S3011: yes
Figure 935284DEST_PATH_IMAGE004
Perform short-time Fourier transform to obtain
Figure 604163DEST_PATH_IMAGE004
Frequency data for each point;

S3012:特征提取:构建P个3维特征向量

Figure 597527DEST_PATH_IMAGE010
={
Figure 289539DEST_PATH_IMAGE012
 ,
Figure 2013102308169100002DEST_PATH_IMAGE013
 },
Figure 26551DEST_PATH_IMAGE014
 ,P=的点数。其中
Figure 166731DEST_PATH_IMAGE011
为对应的
Figure 408357DEST_PATH_IMAGE004
频率数据的第
Figure 2013102308169100002DEST_PATH_IMAGE015
 点数值,
Figure 621163DEST_PATH_IMAGE012
为对应的
Figure 941331DEST_PATH_IMAGE004
幅度数据的第点数值,
Figure 5419DEST_PATH_IMAGE013
为对应的第
Figure 2013102308169100002DEST_PATH_IMAGE017
 个训练数据的倾角值; S3012: Feature extraction: constructing P 3-dimensional feature vectors
Figure 597527DEST_PATH_IMAGE010
={ ,
Figure 289539DEST_PATH_IMAGE012
,
Figure 2013102308169100002DEST_PATH_IMAGE013
},
Figure 26551DEST_PATH_IMAGE014
, P= points. in
Figure 166731DEST_PATH_IMAGE011
for the corresponding
Figure 408357DEST_PATH_IMAGE004
of the frequency data
Figure 2013102308169100002DEST_PATH_IMAGE015
pip value,
Figure 621163DEST_PATH_IMAGE012
for the corresponding
Figure 941331DEST_PATH_IMAGE004
the amplitude data pip value,
Figure 5419DEST_PATH_IMAGE013
for the corresponding
Figure 2013102308169100002DEST_PATH_IMAGE017
The inclination value of the training data;

S302:以模型训练步骤中预处理获得的

Figure 21917DEST_PATH_IMAGE005
Figure 519894DEST_PATH_IMAGE006
 )为输出数据,S301中获得的修正特征
Figure 291541DEST_PATH_IMAGE018
Figure 242179DEST_PATH_IMAGE006
 )为输入值,构成训练数据集合,系统以修正特征向量值
Figure 124685DEST_PATH_IMAGE010
的每一维作为一单元变量,将训练数据集合中表征每一个单元变量数据变化的训练数据子集划分为该单元变量的模型训练集合,即
Figure 2013102308169100002DEST_PATH_IMAGE019
 变化训练数据子集{
Figure 664119DEST_PATH_IMAGE020
Figure 2013102308169100002DEST_PATH_IMAGE021
|属于变化}、
Figure 982285DEST_PATH_IMAGE022
 变化训练数据子集{
Figure 2013102308169100002DEST_PATH_IMAGE023
|属于
Figure 875472DEST_PATH_IMAGE022
变化}和
Figure 2013102308169100002DEST_PATH_IMAGE025
 变化训练数据子集{
Figure 677337DEST_PATH_IMAGE026
Figure 2013102308169100002DEST_PATH_IMAGE027
|属于
Figure 602568DEST_PATH_IMAGE025
变化},分别训练以
Figure 826876DEST_PATH_IMAGE028
Figure 2013102308169100002DEST_PATH_IMAGE029
为输入变量参数,输出数据为输出值 的3个单元变化模型
Figure 2013102308169100002DEST_PATH_IMAGE031
Figure 522933DEST_PATH_IMAGE029
 ,并存储为中间结果; S302: Obtained by preprocessing in the model training step
Figure 21917DEST_PATH_IMAGE005
(
Figure 519894DEST_PATH_IMAGE006
) is the output data, the corrected features obtained in S301
Figure 291541DEST_PATH_IMAGE018
(
Figure 242179DEST_PATH_IMAGE006
) as the input value to form a training data set, and the system corrects the eigenvector value
Figure 124685DEST_PATH_IMAGE010
Each dimension of is used as a unit variable, and the training data subset representing the data change of each unit variable in the training data set is divided into the model training set of the unit variable, namely
Figure 2013102308169100002DEST_PATH_IMAGE019
change training_data_subset {
Figure 664119DEST_PATH_IMAGE020
,
Figure 2013102308169100002DEST_PATH_IMAGE021
| belongs to Variety},
Figure 982285DEST_PATH_IMAGE022
change training_data_subset {
Figure 2013102308169100002DEST_PATH_IMAGE023
, | belongs to
Figure 875472DEST_PATH_IMAGE022
change} and
Figure 2013102308169100002DEST_PATH_IMAGE025
change training_data_subset {
Figure 677337DEST_PATH_IMAGE026
,
Figure 2013102308169100002DEST_PATH_IMAGE027
| belongs to
Figure 602568DEST_PATH_IMAGE025
Variation}, respectively trained with
Figure 826876DEST_PATH_IMAGE028
Figure 2013102308169100002DEST_PATH_IMAGE029
is the input variable parameter, and the output data is the output value The 3 unit change model of
Figure 2013102308169100002DEST_PATH_IMAGE031
Figure 522933DEST_PATH_IMAGE029
, and stored as an intermediate result;

S303:以S302划分得到的各个单位变量训练数据子集中各特征值为中心点,用以下公式,在一定范围内对其插值,分别获得插之后的各个单元变量的新的特征值集合: S303: Use the center point of each eigenvalue in each unit variable training data subset obtained by dividing in S302, use the following formula to interpolate it within a certain range, and obtain new eigenvalue sets of each unit variable after interpolation respectively:

Figure 737883DEST_PATH_IMAGE032
=  
Figure 919465DEST_PATH_IMAGE034
 
Figure 737883DEST_PATH_IMAGE032
=
Figure 919465DEST_PATH_IMAGE034

Figure 2013102308169100002DEST_PATH_IMAGE035
=
Figure 109138DEST_PATH_IMAGE036
Figure 2013102308169100002DEST_PATH_IMAGE035
=
Figure 109138DEST_PATH_IMAGE036

=

Figure 946644DEST_PATH_IMAGE038
=
Figure 946644DEST_PATH_IMAGE038

S304:将S303中获得的各个单元变量新的特征值集合 分别带入S302获得的单元变化模型获得各个模型的输出值

Figure 863413DEST_PATH_IMAGE040
,并将新的各个单元变量特征值集合和各个模型输出值,一同构成一维变化训练数据集合{
Figure 250532DEST_PATH_IMAGE039
Figure 620333DEST_PATH_IMAGE040
},并存储用于后续的模型训练; S304: Collect the new eigenvalues of each unit variable obtained in S303 respectively into the unit change model obtained in S302 Get the output value of each model
Figure 863413DEST_PATH_IMAGE040
, and combine the new feature value sets of each unit variable and each model output value together to form a one-dimensional change training data set{
Figure 250532DEST_PATH_IMAGE039
,
Figure 620333DEST_PATH_IMAGE040
}, and stored for subsequent model training;

S305:利用S304得到的一维变化训练数据集合,基于Krging曲面拟合算法,分别拟合任意确定一维单元变量情况下,其它两个单元变量值和对应模型输出值为三维坐标,即(

Figure 245667DEST_PATH_IMAGE022
 )、(
Figure 854503DEST_PATH_IMAGE019
Figure 27995DEST_PATH_IMAGE025
Figure 38676DEST_PATH_IMAGE041
 )(
Figure 193583DEST_PATH_IMAGE022
Figure 289715DEST_PATH_IMAGE025
Figure 1319DEST_PATH_IMAGE041
)3个空间曲面,曲面中每个点为由2维单元变量值和对应模型输出值构成的一向量; S305: Using the one-dimensional change training data set obtained in S304, based on the Krging surface fitting algorithm, respectively fitting the case of arbitrarily determined one-dimensional unit variables, the values of the other two unit variables and the corresponding model output values are three-dimensional coordinates, namely ( ,
Figure 245667DEST_PATH_IMAGE022
, ), (
Figure 854503DEST_PATH_IMAGE019
,
Figure 27995DEST_PATH_IMAGE025
,
Figure 38676DEST_PATH_IMAGE041
) (
Figure 193583DEST_PATH_IMAGE022
,
Figure 289715DEST_PATH_IMAGE025
,
Figure 1319DEST_PATH_IMAGE041
) 3 spatial surfaces, each point in the surface is a vector composed of 2-dimensional unit variable values and corresponding model output values;

S306:在S305中生成的3个空间曲面中,每个曲面上各抽样

Figure 866507DEST_PATH_IMAGE042
 个点(),构成
Figure 943047DEST_PATH_IMAGE044
个元素的误差数据训练集合,集合中每个点为一四维向量{
Figure 526475DEST_PATH_IMAGE019
Figure 761465DEST_PATH_IMAGE025
},用该误差数据训练集合,训练如图5所示的{
Figure 830363DEST_PATH_IMAGE019
Figure 883770DEST_PATH_IMAGE022
}为3元输入,
Figure 204210DEST_PATH_IMAGE041
为一元输出的神经网络误差修正模型
Figure 2013102308169100002DEST_PATH_IMAGE045
,并保存于系统用于误差数据修正过程; S306: Among the three spatial surfaces generated in S305, each surface is sampled
Figure 866507DEST_PATH_IMAGE042
points ( ),constitute
Figure 943047DEST_PATH_IMAGE044
The error data training set of elements, each point in the set is a four-dimensional vector{
Figure 526475DEST_PATH_IMAGE019
, ,
Figure 761465DEST_PATH_IMAGE025
, }, use the error data to train the set, and train { as shown in Figure 5
Figure 830363DEST_PATH_IMAGE019
,
Figure 883770DEST_PATH_IMAGE022
, } is a 3-element input,
Figure 204210DEST_PATH_IMAGE041
Neural Network Error Correction Model for Unary Output
Figure 2013102308169100002DEST_PATH_IMAGE045
, and saved in the system for error data correction process;

如图6所示,数据修正包括以下子步骤: As shown in Figure 6, data correction includes the following sub-steps:

S404:最终的误差修正量与原始带修正的数据相加获得修正后的倾角传感器数据。 S404: Add the final error correction amount to the original data with correction to obtain corrected inclination sensor data.

S401:对数据修正步骤中数据预处理模块获得的输入数据的各个分段进行规整为长度为 的矩阵; S401: Regularize each segment of the input data obtained by the data preprocessing module in the data correction step to a length of matrix;

S402:同S301采用相同方法提取每段数据每个点的特征值

Figure 2013102308169100002DEST_PATH_IMAGE047
Figure 291431DEST_PATH_IMAGE048
 )(
Figure DEST_PATH_IMAGE049
 ),并将特征值带入训练好的误差修正模型
Figure 824230DEST_PATH_IMAGE045
获得各点数据的误差修正值; S402: Use the same method as S301 to extract the feature value of each point of each piece of data
Figure 2013102308169100002DEST_PATH_IMAGE047
(
Figure 291431DEST_PATH_IMAGE048
) (
Figure DEST_PATH_IMAGE049
), and the eigenvalues Bring in the trained error correction model
Figure 824230DEST_PATH_IMAGE045
Obtain the error correction value of each point data;

S403:将各段数据的各点误差修正值进行连接,组成完整的误差修正值,并进行

Figure 869546DEST_PATH_IMAGE003
倍上采样形成最终的误差修正量; S403: Connect the error correction values of each point of each segment of data to form a complete error correction value, and perform
Figure 869546DEST_PATH_IMAGE003
Times upsampling to form the final error correction amount;

S404:最终的误差修正量与原始带修正的数据相加获得修正后的倾角传感器数据。 S404: Add the final error correction amount to the original data with correction to obtain corrected inclination sensor data.

所述的模型训练步骤中的单元变量为包括频率h、幅度f和角度a。  The unit variables in the model training step include frequency h, amplitude f and angle a. the

Claims (3)

1. empirical model measurement of dip angle error information update the system in the wind-tunnel, it is characterized in that: it comprises with lower module:
Data preprocessing module: the input data are carried out pre-service, extract vibrations error character vector, systematic error correction model training process and data correction process all comprise data preprocessing module, but pretreatment module is finished different operating in VEC training process and data correction process;
The model training module: setting up with angle, frequency and amplitude according to the training data that collects in advance and target data is the input variable parameter, error correction values is the joint error correction model of output, and this module comprises that aspect of model vector extracts submodule and model training submodule;
Data correction module: import data according to each section that data preprocessing module in the error correction process obtains, extract the proper vector of each section input data, and proper vector imported the joint error correction model that precondition obtains, obtain error correction values, modified value is added to original input, obtains revised data.
2. the modification method of empirical model measurement of dip angle error information in the wind-tunnel, it is characterized in that: it comprises data pre-service, model training and three steps of data correction, model training and data correction all comprise data preprocessing module, but pretreatment module is finished different operating in model training and data correction;
The data pre-service comprises following substep in the described model training step:
S101: loaded targets data and training data be to update the system, and target data curve and training data curve are carried out down-sampling;
S102: the curve to target data curve and training data carries out wavelet transformation and smoothing processing respectively, obtains their high and low frequency data;
S103: the low-and high-frequency data to the target data curve ask poor with the low-and high-frequency of all training data curves respectively, and input (high frequency poor) and (low frequency poor) output data set of obtaining for training pattern close;
The data pre-service comprises following substep in the described data correction step:
S201: loaded targets data and each wait to revise data to system, and to aim curve and treat that fair curve carries out down-sampling;
S202: to aim curve and treat that fair curve carries out wavelet transformation and smoothing processing, obtain their high and low frequency data respectively;
S203: the low-and high-frequency data to aim curve ask poor with the low-and high-frequency for the treatment of fair curve respectively, obtain input (high frequency poor) data and the reference curve of VEC;
S204: the result according to end-point detection carries out segmentation to the input data that obtain;
Described model training step comprises following substep:
S301: according to the input data that pre-service in the model training step obtains, extract and revise feature;
S302: the output data that obtain with pretreatment module in the model training process are output valve, the correction that obtains among the S301 is characterized as input value, the composing training data acquisition, system ties up as an element variable with each of correction proper vector value, be that the model training of this element variable is gathered with the training data subset division that characterizes each element variable data variation in the training data set, training with each element variable respectively is the input variable parameter, the output data are N (N=element variable number) unit variation model of output valve, and are stored as intermediate result;
S303: point centered by each eigenwert in each unit variable training data subclass that the S302 division obtains, within the specific limits to its interpolation, the new characteristic value collection of each element variable after obtaining respectively to insert;
S304: bring the new characteristic value collection of each element variable that obtains among the S303 into output valve that unit variation model that S302 obtains obtains each model respectively, and with each new element variable characteristic value collection and each model output valve, together constitute one dimension and change the training data set, and storage is used for follow-up model training;
S305: utilize the one dimension that S304 obtains to change the training data set, based on the Krging Algorithm for Surface Fitting, the match M(M=that is three-dimensional coordinate with any two element variable values and corresponding model output valve respectively ) individual space curved surface, the vector of each point for being constituted by 2 dimension element variable values and corresponding model output valve in the curved surface;
S306: K the point of respectively sampling on each curved surface in the M that in S305, the generates space curved surface, constitute the error information training set of KxM element, each point is a four-dimensional vector in the set, with this error information training set training error correction model Q, and the system that is stored in is used for the error information makeover process;
Described data correction comprises following substep:
S401: extract the input data that the data pre-service obtains in the data correction step, and to each input segmentation, organize data into the long certain matrix of row;
S402: adopt same procedure to extract the eigenwert of every segment data with S301, and bring the eigenwert of each segment data into error correction values that the VEC that trains obtains each segment data;
S403: the error correction values of each segment data is connected, form complete error correction values, and carry out up-sampling and form final calibration corrections;
S404: the data addition of final calibration corrections and grandfather tape correction obtains revised obliquity sensor data.
3. the modification method of empirical model measurement of dip angle error information in the wind-tunnel according to claim 2 is characterized in that, the element variable in the described model training step is for comprising frequency h, amplitude f and angle a.
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CN113155405A (en) * 2021-04-27 2021-07-23 中国空气动力研究与发展中心设备设计与测试技术研究所 Wind tunnel test attack angle mechanism pose parameter tracing method
CN113255577A (en) * 2021-06-18 2021-08-13 中铁大桥科学研究院有限公司 Active control intelligent data processing method for construction vibration parameters of cable-stayed bridge
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