CN112781903B - Fault diagnosis method for blast furnace blower and TRT unit based on digital twin system - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及数字孪生系统、故障诊断等领域,特别涉及一种基于数字孪生系统的高炉鼓风机和TRT机组故障诊断方法。The invention relates to the fields of a digital twin system, fault diagnosis and the like, in particular to a fault diagnosis method for a blast furnace blower and a TRT unit based on the digital twin system.
背景技术Background technique
高炉鼓风和TRT系统是高炉炼铁的重要工艺流程,不但能利用高炉煤气的余压进行高效发电,而且还有效地解决了减压阀组产生的噪声污染和管道振动,也为高炉顶压稳定控制有着重要作用。实践证明TRT发电量约为高炉鼓风机所耗电量的40%左右,因此高炉鼓风机和TRT机组的健康情况及其运行的状态直接影响着炼铁的产量和安全性,对其进行故障诊断极其重要。但是在高炉炼铁过程中,高炉鼓风机和TRT机组往往处于工况恶劣、不稳定、功率大、负载重且连续运行状态,由于运行故障导致的恶性事故屡见不鲜。Blast furnace blasting and TRT system are important technological processes of blast furnace ironmaking. They can not only use the residual pressure of blast furnace gas to generate high-efficiency power generation, but also effectively solve the noise pollution and pipeline vibration generated by the pressure reducing valve group, and also reduce the pressure on the top of the blast furnace. Stability control plays an important role. Practice has proved that the TRT power generation is about 40% of the power consumption of the blast furnace blower. Therefore, the health of the blast furnace blower and the TRT unit and its operation status directly affect the output and safety of ironmaking, and it is extremely important to troubleshoot them. . However, in the process of blast furnace ironmaking, blast furnace blowers and TRT units are often in bad working conditions, unstable, high power, heavy load and continuous operation, and vicious accidents caused by operating failures are not uncommon.
随着各种智能算法的研究和深入,运用于故障诊断的算法越来越多,但是由于高炉鼓风机和TRT机组运行工况复杂多变,运行参数繁多,故障特征提取也成为故障诊断领域的一大难点。With the research and in-depth study of various intelligent algorithms, more and more algorithms are used in fault diagnosis. However, due to the complex and changeable operating conditions of blast furnace blowers and TRT units, and the many operating parameters, fault feature extraction has also become an important issue in the field of fault diagnosis. Big difficulty.
发明内容SUMMARY OF THE INVENTION
本发明克服了高炉鼓风机和TRT机组运行工况复杂多变,运行参数繁多,故障特征提取困难的问题,提出了一种基于数字孪生系统的高炉鼓风机和TRT机组故障诊断方法。The invention overcomes the problems of complex and changeable operating conditions of the blast furnace blower and the TRT unit, numerous operating parameters and difficulty in extracting fault features, and proposes a fault diagnosis method for the blast furnace blower and the TRT unit based on a digital twin system.
为了实现上述目的,本发明提供了以下解决方案:In order to achieve the above object, the present invention provides the following solutions:
一种基于数字孪生系统的高炉鼓风机和TRT机组故障诊断方法,首先构建高炉鼓风机和TRT机组系统的三维模型;通过采集现场实时数据和计算虚拟数据,搭建高炉鼓风机和TRT机组数字孪生系统;基于数字孪生系统对数据进行异常数据剔除;利用改进的振动频谱占比提取方法,进行时频域特征提取;根据时频域特征以及其他的运行参数构建基于Adam算法的神经网络故障诊断算法;最后神经网络输出结果保存在数字孪生系统,形成设备故障部件的故障信息的三维动态展示,生成诊断报告,并推送给现场管理人员。A fault diagnosis method for blast furnace blower and TRT unit based on digital twin system. Firstly, construct a three-dimensional model of blast furnace blower and TRT unit system. The twin system removes abnormal data from the data; uses the improved vibration spectrum ratio extraction method to extract time-frequency domain features; constructs a neural network fault diagnosis algorithm based on Adam algorithm according to the time-frequency domain features and other operating parameters; finally, the neural network The output results are stored in the digital twin system to form a three-dimensional dynamic display of the fault information of the faulty components of the equipment, generate a diagnosis report, and push it to the on-site management personnel.
上述技术方案中,优选地,所述的步骤S1中,基于Unity3D进行三维建模,包括高炉鼓风机和TRT机组整条生产线的三维建模,复现现场的设备实景,与现场工艺流程一致。In the above technical solution, preferably, in the step S1, three-dimensional modeling is performed based on Unity3D, including the three-dimensional modeling of the entire production line of the blast furnace blower and the TRT unit, and the actual scene of the equipment on site is reproduced, which is consistent with the on-site process flow.
优选地,所述的高炉鼓风机和TRT机组数字孪生系统可进行现场实时数据的采集以及数据建模虚拟数据的预测,实现与现场同步运行的实时系统和当现场停机时也能运行的虚拟孪生系统两种场景,并对每种场景的故障数据进行标记。Preferably, the digital twin system of the blast furnace blower and TRT unit can collect on-site real-time data and predict virtual data for data modeling, so as to realize a real-time system that runs synchronously with the site and a virtual twin system that can also run when the site is shut down Two scenarios, and mark the failure data of each scenario.
优选地,所述的异常数据剔除,为通过滑动平均算法剔除传输异常的数据或因环境中偶然变动因素引起的异常数据,以免影响故障诊断的精确性。具体方法如下:Preferably, the abnormal data removal is to remove abnormal data transmitted or abnormal data caused by accidental changes in the environment through a moving average algorithm, so as not to affect the accuracy of fault diagnosis. The specific method is as follows:
剔除异常数据后t时刻的运行参数变量X记为Xt,θt为剔除异常数据前运行参数变量X在t时刻的取值,β为滑动平均系数,β∈[0,1),在β=0时,不使用滑动平均,Xt=θt;使用滑动平均后:The operating parameter variable X at time t after removing abnormal data is denoted as X t , θ t is the value of operating parameter variable X at time t before removing abnormal data, β is the moving average coefficient, β∈[0,1), at β =0, do not use moving average, X t = θ t ; after using moving average:
Xt=β*Xt-1+(1-β)*θt X t =β*X t-1 +(1-β)*θ t
优选地,步骤S4中所述的改进的振动频谱占比提取方法,包括如下步骤:Preferably, the improved vibration spectrum ratio extraction method described in step S4 includes the following steps:
(1)获取设备的振动时域波形信号x(n)=[x1,x2,x3…xN],其中xN为振动加速度值,N为采样点数;(1) Obtain the vibration time-domain waveform signal x(n)=[x 1 , x 2 , x 3 ... x N ] of the equipment, where x N is the vibration acceleration value, and N is the number of sampling points;
(2)对振动时域波形信号进行快速傅里叶变换FFT,根据傅里叶变换公式:其中0≤k≤N-1,n为第n个数据,k为频域上第k个值,WN=e-j*2*π/N是旋转因子,设N=2r,将x(n)分为前后各一半,得到两个长为N/2的序列,经整合计算得到:(2) Perform fast Fourier transform (FFT) on the vibration time domain waveform signal, according to the Fourier transform formula: Where 0≤k≤N-1, n is the nth data, k is the kth value in the frequency domain, W N =e -j*2*π/N is the twiddle factor, set N=2 r , set x (n) is divided into two halves before and after, and two sequences with a length of N/2 are obtained, which are obtained by integration and calculation:
(3)得到FFT后的振动信号频域值[f1,|X(1)|;f2,|X(2);…fN,|X(N)|],其中,f1,f2,…,fN为FFT后的频率值,|X(1)|,|X(2)|,…,,|X(N)|为对应频率下频率幅值;(3) Obtain the frequency domain value of the vibration signal after FFT [f1,|X(1)|; f2,|X(2);...fN,|X(N)|], where f1, f2,...,fN is the frequency value after FFT, |X(1)|,|X(2)|,…,,|X(N)| is the frequency amplitude value at the corresponding frequency;
(4)计算设备的特征频率,分别为0.5倍频、1倍频、1.5倍频、2倍频、 2.5倍频、3倍频、3.5倍频、4倍频、高倍频,记为: [f0.5X,f1X,f1.5X,f2X,f2.5X,f3X,f3.5X,f4X,fnX],倍频为基频的倍数,基频等于1倍频;(4) The characteristic frequencies of the computing equipment are 0.5 times, 1 times, 1.5 times, 2 times, 2.5 times, 3 times, 3.5 times, 4 times and high times, respectively, which are recorded as: [ f 0.5X ,f 1X ,f 1.5X ,f 2X ,f 2.5X ,f 3X ,f 3.5X ,f 4X ,f nX ], the frequency multiplier is a multiple of the fundamental frequency, and the fundamental frequency is equal to 1 frequency;
其中,fnX为高倍频的频率,即大于4倍频的频率,其中f1X为1倍频的频率,Vr为设备的转速,得到设备的特征频率为:Among them, f nX is the frequency of high frequency multiplication, that is, the frequency greater than 4 times frequency, Where f 1X is the frequency of 1 frequency, Vr is the rotation speed of the equipment, and the characteristic frequency of the equipment is obtained as:
此处n为高倍频,表示大于4倍频的所有频率;Here n is a high octave, indicating all frequencies greater than 4 times the frequency;
(5)计算特征频率的频谱占比:(5) Calculate the spectral proportion of the characteristic frequency:
①如果fi为第i个频率值,则选取所有的fi对应幅值综合作为0.5 倍频的幅值,得到0.5倍频的幅值占比为:(i为第i个频率,或第i个频率对应的幅值)①If fi is the ith frequency value, then all the corresponding amplitudes of fi are selected as the 0.5-octave amplitude, and the ratio of the 0.5-octave amplitude is: (i is the ith frequency, or the corresponding frequency of the ith frequency amplitude)
②同理,如果fj为第j个频率值,得到1倍频的幅值占比为:②Similarly, if fj is the jth frequency value, and the ratio of the amplitude of 1 octave is:
③同理,如果fa为第a个频率值,得到1.5倍频的幅值占比为:③Similarly, if fa is the a-th frequency value, and the ratio of the amplitude of the 1.5-octave frequency is:
④同理,如果fb为第b个频率值,得到2倍频的幅值占比为:④ In the same way, if fb is the b-th frequency value, and the ratio of the amplitude of the 2-fold frequency is:
⑤同理,如果fc为第c个频率值,得到2.5倍频的幅值占比为:⑤Similarly, if fc is the c-th frequency value, and the ratio of the amplitude of the 2.5 times frequency is:
⑥同理,如果fd为第d个频率值,得到3倍频的幅值占比为:⑥Similarly, if fd is the d-th frequency value, and the ratio of the amplitude of the 3-fold frequency is:
⑦同理,如果fg为第g个频率值,得到3.5倍频的幅值占比为:⑦Similarly, if fg is the g-th frequency value, and the ratio of the amplitude of the 3.5-octave frequency is:
⑧同理,如果fe为第e个频率值,得到4倍频的幅值占比为:⑧ Similarly, if fe is the e-th frequency value, and the ratio of the amplitude of the quadruple frequency is:
⑨最后,如果fn为第n个频率值,得到高倍频的幅值占比为:⑨ Finally, if fn is the nth frequency value, and the ratio of the amplitude of the high frequency multiplication is:
其中,sum(|X(n)|)为(|X(N)|)中前t个最大值幅值的总和, t=e/8。Among them, sum(|X(n)|) is ( The sum of the first t maximum magnitudes in |X(N)|), t=e/8.
优选地,所述的构建基于Adam算法的神经网络故障诊断算法包括以下步骤:Preferably, the described constructing a neural network fault diagnosis algorithm based on the Adam algorithm includes the following steps:
(1)确定神经网络的输入和输出,其中输入为设备的运行参数变量和振动时频域数据,包括电流、电压、功率、温度、流量、三轴向振动有效值、三轴向振动时域指标、三轴向频域指标;输出为设备的故障类型,包括设备转子磨损、不平衡、不对中、基座松动、轴承内圈故障、轴承外圈故障、动静件摩擦故障。(1) Determine the input and output of the neural network, where the input is the operating parameter variables of the equipment and the vibration time-frequency domain data, including current, voltage, power, temperature, flow, triaxial vibration RMS, triaxial vibration time domain Index, three-axis frequency domain index; the output is the fault type of the equipment, including equipment rotor wear, unbalance, misalignment, loose base, bearing inner ring fault, bearing outer ring fault, friction fault of moving and static parts.
(2)确定该神经网络的下述参数:输入层节点数目为8,输出层节点数目为1,隐含层有1个,且每个隐含层的节点数为26个,网络学习率为0.21,动量系数为0.01;(2) Determine the following parameters of the neural network: the number of nodes in the input layer is 8, the number of nodes in the output layer is 1, there is 1 hidden layer, and the number of nodes in each hidden layer is 26, and the network learning rate is 0.21, the momentum coefficient is 0.01;
(3)利用加速梯度算法(Adam算法)优化神经网络权重,具体方法为:在带动量的梯度下降法的基础上,引入平方梯度,并对速率进行偏差纠正;(3) Using the accelerated gradient algorithm (Adam algorithm) to optimize the weight of the neural network, the specific method is: on the basis of the gradient descent method with momentum, the square gradient is introduced, and the deviation of the rate is corrected;
(4)构建完整的正向和反向计算神经网络模型,读取数字孪生系统中有故障标识的数据,进行训练和测试;(4) Build a complete forward and reverse computing neural network model, read the data of the fault identification in the digital twin system, and conduct training and testing;
(5)读取实时运行数据进行故障诊断和输出。(5) Read real-time operating data for fault diagnosis and output.
本发明的有益效果为:The beneficial effects of the present invention are:
本发明构建了鼓风机和TRT三维模型,利用改进的频谱占比方法构建鼓风机和TRT神经网络故障诊断算法,可以实现鼓风机和TRT的实时监测和故障诊断,并以三维直观的形式展现,因此可有效解决高炉鼓风机和TRT机组运行工况复杂多变,运行参数繁多,故障特征难以提取这一问题。本发明方法可有效的实现高炉鼓风机和TRT机组的故障诊断和健康分析,并通过与数字孪生系统结合,直观展现设备的故障三维信息,对现场操作进行指导,从而保证了现场设备的安全高效运行,具有很高的实际生产价值。The invention constructs a three-dimensional model of the blower and the TRT, and uses the improved spectrum ratio method to construct a fault diagnosis algorithm of the blower and the TRT neural network, which can realize the real-time monitoring and fault diagnosis of the blower and the TRT, and display them in a three-dimensional intuitive form, so it can effectively It solves the problem that the operation conditions of blast furnace blower and TRT unit are complex and changeable, there are many operating parameters, and it is difficult to extract fault features. The method of the invention can effectively realize the fault diagnosis and health analysis of the blast furnace blower and the TRT unit, and by combining with the digital twin system, the three-dimensional fault information of the equipment can be displayed intuitively, and the on-site operation can be guided, thereby ensuring the safe and efficient operation of the on-site equipment. , with high actual production value.
附图说明Description of drawings
图1为本发明一种基于数字孪生系统的高炉鼓风机和TRT机组故障诊断方法流程图。FIG. 1 is a flowchart of a fault diagnosis method for a blast furnace blower and a TRT unit based on a digital twin system of the present invention.
图2为本发明高炉鼓风机和TRT数字孪生系统结构框架图。FIG. 2 is a structural frame diagram of the blast furnace blower and the TRT digital twin system of the present invention.
图3为本发明神经网络输入输出结构示意图。FIG. 3 is a schematic diagram of the input and output structure of the neural network of the present invention.
具体实施方式Detailed ways
如图1所示,本发明提供一种基于数字孪生系统的高炉鼓风及和TRT机组故障诊断方法,首先构建高炉鼓风机和TRT机组系统的三维模型;通过采集现场实时数据和计算虚拟数据,搭建高炉鼓风机和TRT机组数字孪生系统;基于数字孪生系统对数据进行异常数据剔除;利用改进的振动频谱占比提取方法,进行时频域特征提取;根据时频域特征以及其他的运行参数构建基于Adam算法的神经网络故障诊断算法;最后神经网络输出结果保存在数字孪生系统,形成设备故障部件的故障信息的三维动态展示,生成诊断报告,并推送给现场管理人员。As shown in Figure 1, the present invention provides a kind of blast furnace blower and TRT unit fault diagnosis method based on digital twin system, first constructs the three-dimensional model of blast furnace blower and TRT unit system; The digital twin system of blast furnace blower and TRT unit; based on the digital twin system, the abnormal data is eliminated; the improved vibration spectrum ratio extraction method is used to extract the time-frequency domain features; according to the time-frequency domain features and other operating parameters, the Adam based The neural network fault diagnosis algorithm of the algorithm; finally, the output of the neural network is stored in the digital twin system, forming a three-dimensional dynamic display of the fault information of the faulty components of the equipment, generating a diagnosis report, and pushing it to the on-site management personnel.
其中,高炉鼓风机和TRT机组三维模型构建是基于Unity3D进行三维建模,包括高炉鼓风机和TRT机组整条生产线的三维建模,复现现场的设备实景,与现场工艺流程一致。Among them, the 3D model construction of blast furnace blower and TRT unit is based on Unity3D for 3D modeling, including the 3D modeling of the entire production line of blast furnace blower and TRT unit, which reproduces the actual scene of the equipment on site, which is consistent with the on-site process flow.
其中,高炉鼓风机和TRT机组数字孪生系统如图2所示,包括三维模型实时场景漫游、三维模型虚拟场景漫游、实时运行数据采集和保存、虚拟数据实时预测和保存、故障前数据标记和分类、故障结果保存和报警推送等功能,实现与现场同步运行的实时系统和当现场停机时也能运行的虚拟孪生系统两种场景。Among them, the digital twin system of blast furnace blower and TRT unit is shown in Figure 2, including 3D model real-time scene roaming, 3D model virtual scene roaming, real-time operation data collection and storage, virtual data real-time prediction and storage, pre-fault data labeling and classification, Functions such as fault result saving and alarm push, realize two scenarios, a real-time system that runs synchronously with the site, and a virtual twin system that can also run when the site is down.
高炉鼓风机和TRT机组数字孪生系统包括运行和仿真两大模块,运行模块主要通过智能传感器和现场数据库的通讯实现现场实时数据的采集,具体包括高炉顶压和鼓风机的控制性能评估模块、鼓风机和高炉顶压的控制参数优化模块、鼓风机喘振辨识模块、机组能效分析模块、机组能流模块、透平机叶片积灰模块、机组健康诊断模块,来实现高炉鼓风机和TRT机组实时监测和状态分析;仿真模块通过设定相关的现场的工况条件,实现鼓风机控制仿真模块、高炉顶压控制仿真模块、鼓风机防喘振控制仿真模块、TRT启机流程控制仿真模块、TRT停机流程控制仿真模块、TRT紧急停机流程控制仿真模块的建立。The digital twin system of blast furnace blower and TRT unit includes two modules: operation and simulation. The operation module mainly realizes real-time data collection on site through the communication of intelligent sensors and on-site database, including blast furnace top pressure and blower control performance evaluation module, blower and blast furnace Top pressure control parameter optimization module, blower surge identification module, unit energy efficiency analysis module, unit energy flow module, turbine blade ash accumulation module, unit health diagnosis module, to realize real-time monitoring and status analysis of blast furnace blower and TRT unit; The simulation module realizes the blower control simulation module, blast furnace top pressure control simulation module, blower anti-surge control simulation module, TRT start-up process control simulation module, TRT shutdown process control simulation module, TRT start-up process control simulation module by setting relevant on-site working conditions. The establishment of emergency shutdown process control simulation module.
本发明通过滑动平均算法剔除传输异常的数据或因环境中偶然变动因素引起的异常数据,以免影响故障诊断的精确性。具体方法如下:The invention eliminates abnormal data in transmission or abnormal data caused by accidental change factors in the environment through a moving average algorithm, so as not to affect the accuracy of fault diagnosis. The specific method is as follows:
剔除异常数据后t时刻的运行参数变量X记为Xt,θt为剔除异常数据前运行参数变量X在t时刻的取值,β为滑动平均系数,β∈[0,1),在β=0时,不使用滑动平均,Xt=θt;使用滑动平均后:The operating parameter variable X at time t after removing abnormal data is denoted as X t , θ t is the value of operating parameter variable X at time t before removing abnormal data, β is the moving average coefficient, β∈[0,1), at β =0, do not use moving average, X t = θ t ; after using moving average:
Xt=β*Xt-1+(1-β)*θt X t =β*X t-1 +(1-β)*θ t
其中,改进的振动频谱占比提取方法,包括如下步骤:Among them, the improved method for extracting the proportion of vibration spectrum includes the following steps:
(1)获取设备的振动时域波形信号x(n)=[x1,x2,x3…xN],其中,xN为振动加速度值,N为采样点数;(1) Obtain the vibration time-domain waveform signal x(n)=[x 1 , x 2 , x 3 ... x N ] of the equipment, where x N is the vibration acceleration value, and N is the number of sampling points;
(2)对振动时域波形信号进行快速傅里叶变换FFT,根据傅里叶变换公式:其中0≤k≤N-1,n为第n个数据,k为频域上第k个值,WN=e-j*2*π/N是旋转因子,设N=2r,将x(n)分为前后各一半,得到两个长为N/2的序列,经整合计算得到:(2) Perform fast Fourier transform (FFT) on the vibration time domain waveform signal, according to the Fourier transform formula: Where 0≤k≤N-1, n is the nth data, k is the kth value in the frequency domain, W N =e -j*2*π/N is the twiddle factor, set N=2 r , set x (n) is divided into two halves before and after, and two sequences with a length of N/2 are obtained, which are obtained by integration and calculation:
(3)最后得到FFT后的振动信号频域值[f1,|X(1)|;f2,|X(2);…fN,|X(N)|],其中,f1,f2,…,fN为FFT后的频率值,|X(1)|,|X(2)|,…,,|X(N)|为对应频率下频率幅值;(3) Finally, the frequency domain value of the vibration signal after FFT is obtained [f1, |X(1)|; f2, |X(2);...fN,|X(N)|], where f1, f2,..., fN is the frequency value after FFT, |X(1)|,|X(2)|,…,,|X(N)| is the frequency amplitude value at the corresponding frequency;
(4)计算设备的特征频率,分别为0.5倍频、1倍频、1.5倍频、2倍频、 2.5倍频、3倍频、3.5倍频、4倍频、高倍频(大于4倍频的频率统称为高倍频),记为:[f0.5X,f1X,f1.5X,f2X,f2.5X,f3X,f3.5X,f4X,fnX],(4) The characteristic frequencies of the computing equipment are 0.5 times, 1 times, 1.5 times, 2 times, 2.5 times, 3 times, 3.5 times, 4 times, high times (more than 4 times) The frequencies are collectively referred to as high octaves), recorded as: [f 0.5X , f 1X , f 1.5X , f 2X , f 2.5X , f 3X , f 3.5X , f 4X , f nX ],
其中,fnX为高倍频的频率,即大于4倍频的频率,其中f1X为1倍频的频率,Vr为设备的转速,得到设备的特征频率为:Among them, f nX is the frequency of high frequency multiplication, that is, the frequency greater than 4 times frequency, Where f 1X is the frequency of 1 frequency, Vr is the rotation speed of the equipment, and the characteristic frequency of the equipment is obtained as:
此处n为高倍频,表示大于4倍频的所有频率;Here n is a high octave, indicating all frequencies greater than 4 times the frequency;
(5)计算特征频率的频谱占比:(5) Calculate the spectral proportion of the characteristic frequency:
①如果fi为第i个频率值,则选取所有的fi对应幅值综合作为0.5 倍频的幅值,得到0.5倍频的幅值占比为:(i为第i个频率,或第i个频率对应的幅值)①If fi is the ith frequency value, then all the corresponding amplitudes of fi are selected as the 0.5-octave amplitude, and the ratio of the 0.5-octave amplitude is: (i is the ith frequency, or the corresponding frequency of the ith frequency amplitude)
②同理,如果fj为第j个频率值,得到1倍频的幅值占比为:②Similarly, if fj is the jth frequency value, and the ratio of the amplitude of 1 octave is:
③同理,如果fa为第a个频率值,得到1.5倍频的幅值占比为:③Similarly, if fa is the a-th frequency value, and the ratio of the amplitude of the 1.5-octave frequency is:
④同理,如果fb为第b个频率值,得到2倍频的幅值占比为:④ In the same way, if fb is the b-th frequency value, and the ratio of the amplitude of the 2-fold frequency is:
⑤同理,如果fc为第c个频率值,得到2.5倍频的幅值占比为:⑤Similarly, if fc is the c-th frequency value, and the ratio of the amplitude of the 2.5 times frequency is:
⑥同理,如果fs为第d个频率值,得到3倍频的幅值占比为:⑥Similarly, if fs is the d-th frequency value, and the ratio of the amplitude of the 3-fold frequency is:
⑦同理,如果fg为第g个频率值,得到3.5倍频的幅值占比为:⑦Similarly, if fg is the g-th frequency value, and the ratio of the amplitude of the 3.5-octave frequency is:
⑧同理,如果fe为第e个频率值,得到4倍频的幅值占比为:⑧ Similarly, if fe is the e-th frequency value, and the ratio of the amplitude of the quadruple frequency is:
⑨最后,如果fn为第n个频率值,得到高倍频的幅值占比为:⑨ Finally, if fn is the nth frequency value, and the ratio of the amplitude of the high frequency multiplication is:
其中,sum(|X(n)|)为(|X(N)|)中前t个最大值幅值的总和, t=e/8。Among them, sum(|X(n)|) is ( The sum of the first t maximum magnitudes in |X(N)|), t=e/8.
其中,构建基于Adam算法的神经网络故障诊断算法包括以下步骤:Among them, constructing a neural network fault diagnosis algorithm based on Adam algorithm includes the following steps:
(1)确定神经网络的输入和输出,如图3所示,其中输入为设备的运行参数变量和振动时频域数据,包括电流、电压、功率、温度、流量、三轴向振动有效值、三轴向振动时域指标、三轴向频域指标;输出为设备的故障类型,包括设备转子磨损、不平衡、不对中、基座松动、轴承内圈故障、轴承外圈故障、动静件摩擦故障。(1) Determine the input and output of the neural network, as shown in Figure 3, where the input is the equipment's operating parameter variables and vibration time-frequency domain data, including current, voltage, power, temperature, flow, three-axis vibration RMS, Three-axial vibration time domain index, three-axial frequency domain index; the output is the fault type of the equipment, including equipment rotor wear, unbalance, misalignment, loose base, bearing inner ring fault, bearing outer ring fault, friction of dynamic and static parts Fault.
其中,时域指标包括峰值指标、峭度指标、歪度指标、裕度指标、脉冲指标;频域指标包括0.5倍频、1倍频、1.5倍频、2倍频、2.5倍频、3倍频、3.5倍频、 4倍频、高倍频(大于4倍频的频率统称为高倍频)。Among them, time domain indicators include peak index, kurtosis index, skewness index, margin index, and pulse index; frequency domain indicators include 0.5 multipliers, 1 multipliers, 1.5 multipliers, 2 multipliers, 2.5 multipliers, and 3 multipliers frequency, 3.5 times frequency, 4 times frequency, high frequency (the frequencies greater than 4 times frequency are collectively referred to as high frequency).
(2)确定该神经网络的下述参数:输入层节点数目为8,输出层节点数目为1,隐含层有1个,且每个隐含层的节点数为26个,网络学习率为0.21,动量系数为0.01;(2) Determine the following parameters of the neural network: the number of nodes in the input layer is 8, the number of nodes in the output layer is 1, there is 1 hidden layer, and the number of nodes in each hidden layer is 26, and the network learning rate is 0.21, the momentum coefficient is 0.01;
(3)利用加速梯度算法(Adam算法)优化神经网络权重,具体方法为在带动量的梯度下降法的基础上,引入平方梯度,并对速率进行偏差纠正;(3) Using the accelerated gradient algorithm (Adam algorithm) to optimize the weight of the neural network, the specific method is to introduce the squared gradient on the basis of the gradient descent method with momentum, and to correct the deviation of the rate;
(4)构建完整的正向和反向计算神经网络模型,读取数字孪生系统中有故障标识的数据,进行训练和测试;(4) Build a complete forward and reverse computing neural network model, read the data of the fault identification in the digital twin system, and conduct training and testing;
(5)读取实时运行数据进行故障诊断,并输出保存在数字孪生系统相应模块。(5) Read the real-time operating data for fault diagnosis, and output and save it in the corresponding module of the digital twin system.
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