CN117288418B - An intelligent identification method of aerodynamic forces in hypersonic wind tunnel based on wavelet decomposition - Google Patents
An intelligent identification method of aerodynamic forces in hypersonic wind tunnel based on wavelet decomposition Download PDFInfo
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Abstract
Description
技术领域Technical Field
本发明涉及激波风洞测力试验技术领域,具体涉及一种基于小波分解的高超声速风洞气动力智能辨识方法。The invention relates to the technical field of shock wave wind tunnel force measurement tests, and in particular to a hypersonic wind tunnel aerodynamic force intelligent identification method based on wavelet decomposition.
背景技术Background technique
风洞试验是吸气式高超声速飞行器研制的关键技术,高精度气动力测量是其中的重要部分,在风洞启动过程,高速瞬态气流会对安装在测力系统中的飞行器模型产生瞬态冲击,从而产生瞬态振动,由振动引起的模型惯性力会与气动力一同被测力系统采集,由于有效时间短暂,仅有50-200ms,惯性力难以衰减完全,最终测力系统的输出信号呈现出振荡衰减特性。在风洞试验过程中,测力系统的信号传输和采集不可避免的会产生噪声,主要为高频白噪声。此外,在试验过程中飞行器模型与测力系统连接部分的结合部会出现变频冲击,使得测力系统输出信号中会出现变频信号,影响气动力辨识精度。目前工程常用载荷辨识方法主要有:均值法、频域法、时域法和传统神经网络法,但以上方法无法有效降低变频信号的干扰,且部分方法仅能辨识一个气动力载荷常数,无法有效反映出风洞试验过程中动态气动力载荷的大小及变化过程。Wind tunnel test is a key technology for the development of air-breathing hypersonic aircraft, and high-precision aerodynamic measurement is an important part of it. During the wind tunnel startup process, high-speed transient airflow will produce transient impact on the aircraft model installed in the force measurement system, thereby generating transient vibration. The model inertial force caused by the vibration will be collected by the force measurement system together with the aerodynamic force. Due to the short effective time of only 50-200ms, the inertial force is difficult to decay completely, and the output signal of the force measurement system finally shows an oscillation attenuation characteristic. During the wind tunnel test, the signal transmission and acquisition of the force measurement system will inevitably generate noise, mainly high-frequency white noise. In addition, during the test, variable frequency impact will occur at the junction of the aircraft model and the connection part of the force measurement system, so that variable frequency signals will appear in the output signal of the force measurement system, affecting the accuracy of aerodynamic identification. At present, the commonly used load identification methods in engineering are mainly: mean method, frequency domain method, time domain method and traditional neural network method, but the above methods cannot effectively reduce the interference of variable frequency signals, and some methods can only identify an aerodynamic load constant, which cannot effectively reflect the size and change process of dynamic aerodynamic loads during wind tunnel tests.
随着航空航天技术的不断发展,高超声速技术受到各个航空航天大国的广泛关注和深入研究,其科学问题具有重要的战略意义。对于高超声速飞行器气动外形布局设计和优化问题,高精度气动力测量试验起到决定性作用。激波风洞测力试验可以为高温真实气体效应的研究提供可靠的数据,同时为我国高超声速飞行器研究提供关键技术支撑。目前,激波风洞测力试验仍存在许多未解决的关键技术问题,这些问题导致激波风洞测力试验成为一个具有挑战性的研究课题。最重要的问题之一是模型测力系统受瞬态流场气动冲击引起的结构惯性振动。在进行测力试验时,由模型-天平-支撑构成的测力系统受到瞬时冲击而产生结构振动,这些振动信号在短时间内无法快速衰减,导致测力系统的输出信号中包含惯性振动产生的干扰信号,严重影响测力试验的精准度。With the continuous development of aerospace technology, hypersonic technology has received extensive attention and in-depth research from various aerospace powers, and its scientific issues have important strategic significance. For the aerodynamic shape layout design and optimization of hypersonic aircraft, high-precision aerodynamic measurement tests play a decisive role. Shock tunnel force test can provide reliable data for the study of high-temperature real gas effects, and at the same time provide key technical support for my country's hypersonic aircraft research. At present, there are still many unresolved key technical problems in shock tunnel force test, which make shock tunnel force test a challenging research topic. One of the most important problems is the structural inertial vibration caused by the aerodynamic impact of the transient flow field on the model force measurement system. During the force measurement test, the force measurement system composed of the model-balance-support is subjected to instantaneous impact and generates structural vibration. These vibration signals cannot decay quickly in a short time, resulting in the output signal of the force measurement system containing interference signals generated by inertial vibration, which seriously affects the accuracy of the force measurement test.
发明内容Summary of the invention
针对现有技术中的上述不足,本发明提供了一种基于小波分解的高超声速风洞气动力智能辨识方法,通过动态校准试验台获得深度学习的基于天平信号与理想阶跃信号的训练数据,采用小波分解法将获取的训练数据进行分解并送入深度学习模型进行训练,利用训练好的深度学习模型对天平信号的干扰成分进行去除,得到真实的气动力信号。In view of the above-mentioned deficiencies in the prior art, the present invention provides a method for intelligent identification of aerodynamic forces in a hypersonic wind tunnel based on wavelet decomposition. Through a dynamic calibration test bench, deep learning training data based on a balance signal and an ideal step signal are obtained. The acquired training data is decomposed by a wavelet decomposition method and sent to a deep learning model for training. The trained deep learning model is used to remove the interference components of the balance signal to obtain a real aerodynamic signal.
为了达到上述发明目的,本发明采用的技术方案为:In order to achieve the above-mentioned object of the invention, the technical solution adopted by the present invention is:
一种基于小波分解的高超声速风洞气动力智能辨识方法,包括以下步骤:A hypersonic wind tunnel aerodynamic intelligent identification method based on wavelet decomposition comprises the following steps:
S1、获取模拟风洞试验过程的天平信号与理想阶跃信号;S1, obtaining a balance signal and an ideal step signal simulating a wind tunnel test process;
S2、将步骤S1中获取的天平信号与理想阶跃信号采用小波分解法进行分解,分别得到天平信号与理想阶跃信号的小波系数;S2, decomposing the balance signal and the ideal step signal obtained in step S1 by using a wavelet decomposition method to obtain wavelet coefficients of the balance signal and the ideal step signal respectively;
S3、将步骤S2中分别得到的天平信号与理想阶跃信号的小波系数输入深度学习模型中进行训练,得到训练好的深度学习模型;S3, inputting the wavelet coefficients of the balance signal and the ideal step signal respectively obtained in step S2 into the deep learning model for training, to obtain a trained deep learning model;
S4、获取天平信号,将获取的天平信号进行小波分解,得到天平信号的小波系数,并将其输入步骤S3中训练好的深度学习模型进行干扰成分的去除,并采用小波重构法将去除干扰成分的天平信号的小波系数进行重构,得到真实的气动力信号。S4, obtaining a balance signal, performing wavelet decomposition on the obtained balance signal to obtain the wavelet coefficients of the balance signal, and inputting the wavelet coefficients into the deep learning model trained in step S3 to remove interference components, and using the wavelet reconstruction method to reconstruct the wavelet coefficients of the balance signal with the interference components removed to obtain a true aerodynamic force signal.
进一步的,步骤S1具体包括:Furthermore, step S1 specifically includes:
S11、试验台通过电机实现XYZ三个方向的阶跃加载,上位机根据加载头连接的S型力传感器控制电机加载,当达到预计载荷时,释放加载头的气动装置实现卸载,并得到包含加载前信号、加载后稳定信号以及卸载后震荡信号的天平信号;S11. The test bench realizes step loading in three directions of XYZ through the motor. The upper computer controls the motor loading according to the S-type force sensor connected to the loading head. When the expected load is reached, the pneumatic device of the loading head is released to realize unloading, and a balance signal including a signal before loading, a stable signal after loading, and an oscillation signal after unloading is obtained;
S12、利用步骤S11中得到的加载后稳定信号均值减去步骤S11中得到的加载前信号均值得到阶跃幅值,并根据跳变时间人工生成理想阶跃信号。S12, using the average value of the stable signal after loading obtained in step S11 minus the average value of the signal before loading obtained in step S11 to obtain the step amplitude, and artificially generate an ideal step signal according to the jump time.
进一步的,步骤S2具体包括:Furthermore, step S2 specifically includes:
根据步骤S1中获取的天平信号与理想阶跃信号,采用小波分解法对天平信号与理想阶跃信号的频率成分进行拆解,分别得到天平信号与理想阶跃信号的小波系数。According to the balance signal and the ideal step signal obtained in step S1, the frequency components of the balance signal and the ideal step signal are decomposed by wavelet decomposition method to obtain wavelet coefficients of the balance signal and the ideal step signal respectively.
进一步的,采用小波分解法对天平信号与理想阶跃信号的频率成分进行拆解的具体过程为:Furthermore, the specific process of using wavelet decomposition method to decompose the frequency components of the balance signal and the ideal step signal is as follows:
构造分解高通滤波器和分解低通滤波器并选取bior3.3小波构造分解高通滤波器和分解低通滤波器的参数,分别将天平信号与理想阶跃信号和构造的分解高通滤波器与分解低通滤波器进行卷积操作,分别得到一级分解的天平信号与理想阶跃信号的小波细节系数和小波近似系数;将分别得到的一级分解的天平信号与理想阶跃信号的小波近似系数和构造的分解高通滤波器与分解低通滤波器进行卷积操作,分别得到次级分解的天平信号与理想阶跃信号的小波细节系数和小波近似系数。Construct a decomposition high-pass filter and a decomposition low-pass filter and select bior3.3 wavelet to construct the parameters of the decomposition high-pass filter and the decomposition low-pass filter, convolve the balance signal with the ideal step signal and the constructed decomposition high-pass filter with the decomposition low-pass filter, and obtain the wavelet detail coefficients and wavelet approximation coefficients of the first-level decomposition balance signal and the ideal step signal respectively; convolve the wavelet approximation coefficients of the first-level decomposition balance signal and the ideal step signal respectively and the constructed decomposition high-pass filter with the decomposition low-pass filter, and obtain the wavelet detail coefficients and wavelet approximation coefficients of the secondary decomposition balance signal and the ideal step signal respectively.
进一步的,步骤S3具体包括:Furthermore, step S3 specifically includes:
S31、将步骤S2得到的天平信号的小波系数作为原始数据,将理想阶跃信号的小波系数作为原始数据的标签,并将赋予标签的原始数据作为数据集输入到双向LSTM模型中;S31, using the wavelet coefficients of the balance signal obtained in step S2 as the original data, using the wavelet coefficients of the ideal step signal as the labels of the original data, and inputting the labeled original data as a data set into the bidirectional LSTM model;
S32、将步骤S31中的数据集的一部分作为训练集对双向LSTM模型进行训练,将数据集剩下的一部分作为测试集对训练的双向LSTM模型的性能进行评估;S32, using a part of the data set in step S31 as a training set to train the bidirectional LSTM model, and using the remaining part of the data set as a test set to evaluate the performance of the trained bidirectional LSTM model;
S33、选择均方差误差作为损失函数对训练中的双向LSTM模型进行预测,并判断双向LSTM模型的预测值与理想阶跃信号的小波系数的差异程度,即:S33. Select the mean square error as the loss function to predict the bidirectional LSTM model in training, and judge the difference between the predicted value of the bidirectional LSTM model and the wavelet coefficient of the ideal step signal, that is:
其中,MSE表示均方误差,n表示训练次数,Yi表示训练第i次的双向LSTM模型的预测值,表示训练第i次的理想阶跃信号的小波系数;Among them, MSE represents mean square error, n represents the number of training times, Yi represents the predicted value of the bidirectional LSTM model after the i-th training. Represents the wavelet coefficients of the ideal step signal for the i-th training;
S34、选择Adam优化器对双向LSTM模型参数进行优化,生成损失较小的双向LSTM模型。S34. Select the Adam optimizer to optimize the parameters of the bidirectional LSTM model to generate a bidirectional LSTM model with smaller loss.
进一步的,步骤S4具体包括:Furthermore, step S4 specifically includes:
S41、获取天平信号,并采用小波分解法对获取的天平信号进行分解,得到天平信号的小波系数;S41, obtaining a balance signal, and decomposing the obtained balance signal using a wavelet decomposition method to obtain a wavelet coefficient of the balance signal;
S42、将步骤S41中得到的天平信号的小波系数输入步骤S3中训练好的双向LSTM模型中去除干扰成分;S42, inputting the wavelet coefficients of the balance signal obtained in step S41 into the bidirectional LSTM model trained in step S3 to remove interference components;
S43、采用小波重构法对步骤S42中去除干扰成分的天平信号的小波系数进行重构,得到真实的气动力信号。S43, using the wavelet reconstruction method to reconstruct the wavelet coefficients of the balance signal from which the interference components are removed in step S42, to obtain a true aerodynamic force signal.
进一步的,步骤S43具体包括:Further, step S43 specifically includes:
S431、将天平信号的小波细节系数与重组高通滤波器的卷积加上天平信号的小波近似系数与重组低通滤波器的卷积,得到天平信号上一级的小波近似系数;S431, convolution of the wavelet detail coefficient of the balance signal with the reorganized high-pass filter plus convolution of the wavelet approximation coefficient of the balance signal with the reorganized low-pass filter, to obtain the wavelet approximation coefficient of the previous level of the balance signal;
S432、将步骤S431得到的天平信号上一级的小波近似系数继续重复步骤S431的操作,得到真实的气动力信号S432, repeat the operation of step S431 with the wavelet approximation coefficient of the previous level of the balance signal obtained in step S431 to obtain the real aerodynamic force signal
本发明具有以下有益效果:The present invention has the following beneficial effects:
本发明所提出的一种基于小波分解的高超声速风洞气动力智能辨识方法,能够精准地得到真实的气动力信号,即使与气动力信号的频率出现重叠时,也能够有效滤除惯性力和其他干扰信号;同时在本发明中采用小波分解技术和深度学习技术,去除每一级小波系数的干扰频率成分,使得滤除过程更加具有可解释性。The present invention proposes a hypersonic wind tunnel aerodynamic intelligent identification method based on wavelet decomposition, which can accurately obtain the real aerodynamic signal, and can effectively filter out the inertial force and other interference signals even when the frequency overlaps with the aerodynamic signal; at the same time, the present invention adopts wavelet decomposition technology and deep learning technology to remove the interference frequency components of each level of wavelet coefficients, making the filtering process more explainable.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1为本发明所提出的一种基于小波分解的高超声速风洞气动力智能辨识方法的流程示意图;FIG1 is a schematic flow chart of a hypersonic wind tunnel aerodynamic intelligent identification method based on wavelet decomposition proposed by the present invention;
图2为实施例中模型训练数据与模型训练数据功率频谱示意图;FIG2 is a schematic diagram of model training data and a power spectrum of model training data in an embodiment;
图3为实施例中构造的分解低通滤波器以及分解高通滤波器示意图;FIG3 is a schematic diagram of a decomposition low-pass filter and a decomposition high-pass filter constructed in the embodiment;
图4为实施例中训练集与测试集损失示意图;FIG4 is a schematic diagram of the training set and test set losses in an embodiment;
图5为模型预测结果和模型预测结果功率谱示意图;FIG5 is a schematic diagram of the model prediction results and the power spectrum of the model prediction results;
图6为构造的重组低通滤波器以及重组高通滤波器示意图;FIG6 is a schematic diagram of a reconstructed low-pass filter and a reconstructed high-pass filter;
图7为第9级小波分解细节系数重组信号以及重组信号功率谱示意图;FIG7 is a schematic diagram of a reconstructed signal of detail coefficients of the 9th level wavelet decomposition and a power spectrum of the reconstructed signal;
图8为第13级小波分解细节系数重组信号以及重组信号功率谱示意图。FIG8 is a schematic diagram of the reconstructed signal of the 13th level wavelet decomposition detail coefficients and the reconstructed signal power spectrum.
具体实施方式Detailed ways
下面对本发明的具体实施方式进行描述,以便于本技术领域的技术人员理解本发明,但应该清楚,本发明不限于具体实施方式的范围,对本技术领域的普通技术人员来讲,只要各种变化在所附的权利要求限定和确定的本发明的精神和范围内,这些变化是显而易见的,一切利用本发明构思的发明创造均在保护之列。The specific implementation modes of the present invention are described below so that those skilled in the art can understand the present invention. However, it should be clear that the present invention is not limited to the scope of the specific implementation modes. For those of ordinary skill in the art, as long as various changes are within the spirit and scope of the present invention as defined and determined by the attached claims, these changes are obvious, and all inventions and creations utilizing the concept of the present invention are protected.
如图1所示,一种基于小波分解的高超声速风洞气动力智能辨识方法,包括以下步骤S1-S4:As shown in FIG1 , a hypersonic wind tunnel aerodynamic intelligent identification method based on wavelet decomposition includes the following steps S1-S4:
S1、获取模拟风洞试验过程的天平信号与理想阶跃信号。S1. Obtain the balance signal and ideal step signal of the simulated wind tunnel test process.
在本发明的一个可选实施例中,由于深度学习需要大量的训练数据,风洞实验成本高昂,难以满足要求的数据量。而实验台的飞行器与天平的安装方式和真实风洞试验相同,获得的动态特性与真实风洞试验相似。所以采用动态校准试验台模拟风洞实验获得深度学习训练数据。In an optional embodiment of the present invention, since deep learning requires a large amount of training data, the wind tunnel experiment is expensive and it is difficult to meet the required data volume. The installation method of the aircraft and the balance of the test bench is the same as that of the real wind tunnel test, and the dynamic characteristics obtained are similar to those of the real wind tunnel test. Therefore, a dynamic calibration test bench is used to simulate the wind tunnel experiment to obtain deep learning training data.
具体的,步骤S1具体包括:Specifically, step S1 specifically includes:
S11、试验台通过电机实现XYZ三个方向的阶跃加载,上位机根据加载头连接的S型力传感器控制电机加载,当达到预计载荷时,释放加载头的气动装置实现卸载,并得到包含加载前信号、加载后稳定信号以及卸载后震荡信号的天平信号。S11. The test bench realizes step loading in three directions of XYZ through the motor. The upper computer controls the motor loading according to the S-type force sensor connected to the loading head. When the expected load is reached, the pneumatic device of the loading head is released to realize unloading, and a balance signal including the pre-loading signal, the stable signal after loading and the oscillation signal after unloading is obtained.
S12、利用步骤S11中得到的加载后稳定信号均值减去步骤S11中得到的加载前信号均值得到阶跃幅值,并根据跳变时间人工生成理想阶跃信号。S12, using the average value of the stable signal after loading obtained in step S11 minus the average value of the signal before loading obtained in step S11 to obtain the step amplitude, and artificially generate an ideal step signal according to the jump time.
本实施例中采集到的天平信号包括加载前信号、加载后稳定信号以及卸载后震荡信号。将加载后稳定信号减去加载前信号得到阶跃载荷,而卸载后震荡信号包含了阶跃载荷和系统惯性振动,所以采集到的天平信号具有系统惯性振动和干扰成分存在。因此,将加载后稳定信号均值减去加载前信号均值得到阶跃幅值,并根据跳变时间人工生成理想阶跃信号,将生成的理想阶跃信号作为天平信号的标签输入深度学习模型进行训练。The balance signal collected in this embodiment includes a pre-loading signal, a stable signal after loading, and an oscillating signal after unloading. The step load is obtained by subtracting the pre-loading signal from the stable signal after loading, and the oscillating signal after unloading contains the step load and the system inertial vibration, so the collected balance signal has the system inertial vibration and interference components. Therefore, the step amplitude is obtained by subtracting the mean value of the pre-loading signal from the mean value of the stable signal after loading, and an ideal step signal is artificially generated according to the jump time, and the generated ideal step signal is input as the label of the balance signal into the deep learning model for training.
如图2所示,图2为模型训练数据与模型训练数据功率频谱示意图。图2中(a)为模型训练数据图,横坐标表示训练时间,纵坐标表示法向力,实线表示输入的天平信号,虚线表示作为标签的理想阶跃信号。图2中(b)为模型训练数据功率频谱图,横坐标表示频率,纵坐标表示幅值,实线表示输入的天平信号,虚线表示作为标签的理想阶跃信号。从图2中(b)可以得到输入的天平信号的干扰频率主要为10.3Hz和56.2Hz。As shown in Figure 2, Figure 2 is a schematic diagram of model training data and model training data power spectrum. Figure 2 (a) is a model training data diagram, the horizontal axis represents the training time, the vertical axis represents the normal force, the solid line represents the input balance signal, and the dotted line represents the ideal step signal as a label. Figure 2 (b) is a power spectrum diagram of model training data, the horizontal axis represents the frequency, the vertical axis represents the amplitude, the solid line represents the input balance signal, and the dotted line represents the ideal step signal as a label. From Figure 2 (b), it can be seen that the interference frequencies of the input balance signal are mainly 10.3Hz and 56.2Hz.
S2、将步骤S1中获取的天平信号与理想阶跃信号采用小波分解法进行分解,分别得到天平信号与理想阶跃信号的小波系数。S2. Decompose the balance signal and the ideal step signal obtained in step S1 by using a wavelet decomposition method to obtain wavelet coefficients of the balance signal and the ideal step signal respectively.
具体的,步骤S2具体包括:Specifically, step S2 specifically includes:
根据步骤S1中获取的天平信号与理想阶跃信号,采用小波分解法对天平信号与理想阶跃信号的频率成分进行拆解,分别得到天平信号与理想阶跃信号的小波系数。According to the balance signal and the ideal step signal obtained in step S1, the frequency components of the balance signal and the ideal step signal are decomposed by wavelet decomposition method to obtain the wavelet coefficients of the balance signal and the ideal step signal respectively.
具体的,采用小波分解法对天平信号与理想阶跃信号的频率成分进行拆解的具体过程为:Specifically, the specific process of using wavelet decomposition method to decompose the frequency components of the balance signal and the ideal step signal is as follows:
构造分解高通滤波器和分解低通滤波器并选取bior3.3小波构造分解高通滤波器和分解低通滤波器的参数,分别将天平信号与理想阶跃信号和构造的分解高通滤波器与分解低通滤波器进行卷积操作,分别得到一级分解的天平信号与理想阶跃信号的小波细节系数和小波近似系数;将分别得到的一级分解的天平信号与理想阶跃信号的小波近似系数和构造的分解高通滤波器与分解低通滤波器进行卷积操作,分别得到次级分解的天平信号与理想阶跃信号的小波细节系数和小波近似系数。Construct a decomposition high-pass filter and a decomposition low-pass filter and select bior3.3 wavelet to construct the parameters of the decomposition high-pass filter and the decomposition low-pass filter, convolve the balance signal with the ideal step signal and the constructed decomposition high-pass filter with the decomposition low-pass filter, and obtain the wavelet detail coefficients and wavelet approximation coefficients of the first-level decomposition balance signal and the ideal step signal respectively; convolve the wavelet approximation coefficients of the first-level decomposition balance signal and the ideal step signal respectively and the constructed decomposition high-pass filter with the decomposition low-pass filter, and obtain the wavelet detail coefficients and wavelet approximation coefficients of the secondary decomposition balance signal and the ideal step signal respectively.
如图3所示,图3为构造的分解低通滤波器以及分解高通滤波器示意图。本实施例中将获取的天平信号与理想阶跃信号的频率成分采用小波分解法分别对其进行分解,一共分解成14级的小波系数,每一级小波系数包含了原始信号的频率信息和相位信息。As shown in Figure 3, Figure 3 is a schematic diagram of the constructed decomposition low-pass filter and decomposition high-pass filter. In this embodiment, the frequency components of the acquired balance signal and the ideal step signal are decomposed by wavelet decomposition method, and are decomposed into 14 levels of wavelet coefficients, each level of wavelet coefficients contains the frequency information and phase information of the original signal.
S3、将步骤S2中分别得到的天平信号与理想阶跃信号的小波系数输入深度学习模型中进行训练,得到训练好的深度学习模型。S3. Input the wavelet coefficients of the balance signal and the ideal step signal respectively obtained in step S2 into the deep learning model for training to obtain a trained deep learning model.
本实施例中深度学习模型采用双向LSTM模型,通过将分别得到的天平信号与理想阶跃信号的小波系数输入深度学习模型中进行训练,并在双向LSTM模型训练中根据该模型训练的效果调整隐层层数、隐层维度和dropout数值。其中,隐层层数选取1、2、4,隐层维度选取5、10,dropout数值选取0、0.2、0.6,学习率选取0.01、0.001、0.0001,Batchsize选取5、10,训练轮数选取1000,、5000、10000。通过综合考虑损失大小和训练时间最后确定隐层维度为10,包含两层隐层,dropout数值为0.2。并选择均方误差MSE作为损失函数,优化器选择Adam优化器,学习率为0.001,Batchsize为10,训练轮数为10000。本实施例中损失函数是用来度量双向LSTM模型的预测值与标签值即理想阶跃信号的小波系数的差异程度的运算函数,它是一个非负实值函数,损失函数越小,模型的鲁棒性就越好。损失函数主要用于双向LSTM模型的训练阶段,每个批次的训练数据送入该双向LSTM模型后,通过向前传播输出预测值,然后损失函数计算出预测值与标签值即理想阶跃信号的小波系数的差异值,也是损失值。在得到损失值后,该双向LSTM模型通过反向传播去更新各个参数,以此降低标签值与预测值之间的损失,从而使得双向LSTM模型的预测值向着标签值方向靠拢,且Adam优化器采用梯度下降法对双向LSTM模型参数进行优化,生成损失较小的双向LSTM模型,从而达到学习的目的。In this embodiment, the deep learning model adopts a bidirectional LSTM model, and the wavelet coefficients of the balance signal and the ideal step signal obtained respectively are input into the deep learning model for training, and the number of hidden layers, hidden layer dimensions and dropout values are adjusted according to the effect of the model training in the bidirectional LSTM model training. Among them, the number of hidden layers is selected as 1, 2, and 4, the hidden layer dimensions are selected as 5 and 10, the dropout values are selected as 0, 0.2, and 0.6, the learning rate is selected as 0.01, 0.001, and 0.0001, the batch size is selected as 5 and 10, and the number of training rounds is selected as 1000, 5000, and 10000. By comprehensively considering the loss size and training time, it is finally determined that the hidden layer dimension is 10, including two hidden layers, and the dropout value is 0.2. And the mean square error MSE is selected as the loss function, the optimizer selects the Adam optimizer, the learning rate is 0.001, the batch size is 10, and the number of training rounds is 10000. In this embodiment, the loss function is an operation function used to measure the difference between the predicted value of the bidirectional LSTM model and the label value, i.e., the wavelet coefficient of the ideal step signal. It is a non-negative real-valued function. The smaller the loss function, the better the robustness of the model. The loss function is mainly used in the training phase of the bidirectional LSTM model. After each batch of training data is sent to the bidirectional LSTM model, the predicted value is output through forward propagation, and then the loss function calculates the difference between the predicted value and the label value, i.e., the wavelet coefficient of the ideal step signal, which is also the loss value. After obtaining the loss value, the bidirectional LSTM model updates each parameter through back propagation to reduce the loss between the label value and the predicted value, so that the predicted value of the bidirectional LSTM model moves closer to the label value, and the Adam optimizer uses the gradient descent method to optimize the parameters of the bidirectional LSTM model to generate a bidirectional LSTM model with less loss, thereby achieving the purpose of learning.
具体的,步骤S3具体包括S31-S34:Specifically, step S3 specifically includes S31-S34:
S31、将步骤S2得到的天平信号的小波系数作为原始数据,将理想阶跃信号的小波系数作为原始数据的标签,并将赋予标签的原始数据作为数据集输入到双向LSTM模型中。S31, using the wavelet coefficients of the balance signal obtained in step S2 as the original data, using the wavelet coefficients of the ideal step signal as the labels of the original data, and inputting the labeled original data as a data set into the bidirectional LSTM model.
S32、将步骤S31中的数据集的一部分作为训练集对双向LSTM模型进行训练,将数据集剩下的一部分作为测试集对训练的双向LSTM模型的性能进行评估。S32: Use a part of the data set in step S31 as a training set to train the bidirectional LSTM model, and use the remaining part of the data set as a test set to evaluate the performance of the trained bidirectional LSTM model.
S33、选择均方差误差作为损失函数对训练中的双向LSTM模型进行预测,并判断双向LSTM模型的预测值与理想阶跃信号的小波系数的差异程度,即:S33. Select the mean square error as the loss function to predict the bidirectional LSTM model in training, and judge the difference between the predicted value of the bidirectional LSTM model and the wavelet coefficient of the ideal step signal, that is:
其中,MSE表示均方误差,n表示训练次数,Yi表示训练第i次的双向LSTM模型的预测值,表示训练第i次的理想阶跃信号的小波系数。Among them, MSE represents mean square error, n represents the number of training times, Yi represents the predicted value of the bidirectional LSTM model after the i-th training. Represents the wavelet coefficients of the ideal step signal for the i-th training.
S34、选择Adam优化器对双向LSTM模型参数进行优化,生成损失较小的双向LSTM模型。S34. Select the Adam optimizer to optimize the parameters of the bidirectional LSTM model to generate a bidirectional LSTM model with smaller loss.
如图4所示,图4为训练集与测试集损失示意图,横坐标表示训练轮数,纵坐标表示均方误差,实线表示训练集损失,纵坐标表示测试集损失。本实施例中将步骤S2得到的天平信号的小波系数作为原始数据,将理想阶跃信号的小波系数作为原始数据的标签,并将赋予标签的原始数据作为数据集输入到双向LSTM模型中,一共包括180组数据集,将其中的150组划分为训练集用于训练双向LSTM模型,将剩下的30组划分为测试集并对训练的双向LSTM模型性能进行评估。从图4中可以看到,训练到10000轮测试集损失和训练集损失最小。As shown in Figure 4, Figure 4 is a schematic diagram of the loss of the training set and the test set, the horizontal axis represents the number of training rounds, the vertical axis represents the mean square error, the solid line represents the loss of the training set, and the vertical axis represents the loss of the test set. In this embodiment, the wavelet coefficients of the balance signal obtained in step S2 are used as the original data, the wavelet coefficients of the ideal step signal are used as the labels of the original data, and the original data assigned with the labels are input into the bidirectional LSTM model as a data set, including a total of 180 groups of data sets, 150 of which are divided into training sets for training the bidirectional LSTM model, and the remaining 30 groups are divided into test sets and the performance of the trained bidirectional LSTM model is evaluated. As can be seen from Figure 4, the test set loss and the training set loss are the smallest after training to 10,000 rounds.
S4、获取天平信号,将获取的天平信号进行小波分解,得到天平信号的小波系数,并将其输入步骤S3中训练好的深度学习模型进行干扰成分的去除,并采用小波重构法将去除干扰成分的天平信号的小波系数进行重构,得到真实的气动力信号。S4, obtaining a balance signal, performing wavelet decomposition on the obtained balance signal to obtain the wavelet coefficients of the balance signal, and inputting the wavelet coefficients into the deep learning model trained in step S3 to remove interference components, and using the wavelet reconstruction method to reconstruct the wavelet coefficients of the balance signal with the interference components removed to obtain a true aerodynamic force signal.
如图5所示,图5为模型预测结果和模型预测结果功率谱示意图,图5中(a)表示模型预测结果图,横坐标表示时间,纵坐标表示法向力;图5中(b)表示模型预测结果功率谱图,横坐标表示频率,纵坐标表示幅值;输入模型的模型预测信号为天平信号。本实施例中将获取的天平信号输入到训练好的双向LSTM模型中进行预测,从图5中(a)可以得到真实的气动力信号。As shown in Figure 5, Figure 5 is a schematic diagram of the model prediction result and the power spectrum of the model prediction result. Figure 5 (a) represents the model prediction result diagram, the horizontal axis represents time, and the vertical axis represents normal force; Figure 5 (b) represents the power spectrum diagram of the model prediction result, the horizontal axis represents frequency, and the vertical axis represents amplitude; the model prediction signal input to the model is a balance signal. In this embodiment, the acquired balance signal is input into the trained bidirectional LSTM model for prediction, and the real aerodynamic force signal can be obtained from Figure 5 (a).
具体的,步骤S4具体包括S41-S42:Specifically, step S4 specifically includes S41-S42:
S41、获取天平信号,并采用小波分解法对获取的天平信号进行分解,得到天平信号的小波系数。S41, obtaining a balance signal, and decomposing the obtained balance signal using a wavelet decomposition method to obtain wavelet coefficients of the balance signal.
S42、将步骤S41中得到的天平信号的小波系数输入步骤S3中训练好的双向LSTM模型中去除干扰成分。S42, input the wavelet coefficients of the balance signal obtained in step S41 into the bidirectional LSTM model trained in step S3 to remove interference components.
S43、采用小波重构法对步骤S42中去除干扰成分的天平信号的小波系数进行重构,得到真实的气动力信号。S43, using the wavelet reconstruction method to reconstruct the wavelet coefficients of the balance signal from which the interference components are removed in step S42, to obtain a true aerodynamic force signal.
具体的,步骤S43具体包括S431-S432:Specifically, step S43 specifically includes S431-S432:
S431、将天平信号的小波细节系数与重组高通滤波器的卷积加上天平信号的小波近似系数与重组低通滤波器的卷积,得到天平信号上一级的小波近似系数。S431, the convolution of the wavelet detail coefficient of the balance signal and the reconstructed high-pass filter is added to the convolution of the wavelet approximation coefficient of the balance signal and the reconstructed low-pass filter to obtain the wavelet approximation coefficient of the previous level of the balance signal.
S432、将步骤S431得到的天平信号上一级的小波近似系数继续重复步骤S431的操作,得到真实的气动力信号。S432, repeat the operation of step S431 with the wavelet approximation coefficient of the previous level of the balance signal obtained in step S431 to obtain a true aerodynamic force signal.
如图6所示,图6为构造的重组低通滤波器以及重组高通滤波器示意图。本实施例中将分解成14级的天平信号的小波系数采用小波重构法进行重构,得到真实的气动力信号。As shown in Figure 6, Figure 6 is a schematic diagram of the constructed recombinant low-pass filter and recombinant high-pass filter. In this embodiment, the wavelet coefficients of the balance signal decomposed into 14 levels are reconstructed using the wavelet reconstruction method to obtain the real aerodynamic force signal.
如图7所示,图7为第9级小波分解细节系数重组信号以及重组信号功率谱示意图。从图7中可以看到,第9级小波分解细节分量将56.2Hz的干扰频率单独分解出来。As shown in Figure 7, Figure 7 is a schematic diagram of the reconstructed signal of the 9th level wavelet decomposition detail coefficient and the reconstructed signal power spectrum. As can be seen from Figure 7, the 9th level wavelet decomposition detail component decomposes the interference frequency of 56.2 Hz separately.
如图8所示,图8为第13级小波分解细节系数重组信号以及重组信号功率谱示意图。从图8中可以看到,第13级小波分解细节分量将10.3Hz的干扰频率单独分解出来。As shown in Figure 8, Figure 8 is a schematic diagram of the reconstructed signal and the power spectrum of the reconstructed signal after the 13th level wavelet decomposition detail coefficient. As can be seen from Figure 8, the 13th level wavelet decomposition detail component decomposes the interference frequency of 10.3 Hz separately.
本发明中应用了具体实施例对本发明的原理及实施方式进行了阐述,以上实施例的说明只是用于帮助理解本发明的方法及其核心思想;同时,对于本领域的一般技术人员,依据本发明的思想,在具体实施方式及应用范围上均会有改变之处,综上所述,本说明书内容不应理解为对本发明的限制。The present invention uses specific embodiments to illustrate the principles and implementation methods of the present invention. The description of the above embodiments is only used to help understand the method of the present invention and its core idea. At the same time, for those skilled in the art, according to the idea of the present invention, there will be changes in the specific implementation methods and application scope. In summary, the content of this specification should not be understood as a limitation on the present invention.
本领域的普通技术人员将会意识到,这里所述的实施例是为了帮助读者理解本发明的原理,应被理解为本发明的保护范围并不局限于这样的特别陈述和实施例。本领域的普通技术人员可以根据本发明公开的这些技术启示做出各种不脱离本发明实质的其它各种具体变形和组合,这些变形和组合仍然在本发明的保护范围内。Those skilled in the art will appreciate that the embodiments described herein are intended to help readers understand the principles of the present invention, and should be understood that the protection scope of the present invention is not limited to such specific statements and embodiments. Those skilled in the art can make various other specific variations and combinations that do not deviate from the essence of the present invention based on the technical revelations disclosed by the present invention, and these variations and combinations are still within the protection scope of the present invention.
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