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CN104535465A - PM2.5 concentration detection method and device based on neural network - Google Patents

PM2.5 concentration detection method and device based on neural network Download PDF

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CN104535465A
CN104535465A CN201510006945.9A CN201510006945A CN104535465A CN 104535465 A CN104535465 A CN 104535465A CN 201510006945 A CN201510006945 A CN 201510006945A CN 104535465 A CN104535465 A CN 104535465A
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neural network
light intensity
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laser
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CN104535465B (en
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徐林
关天一
李砚浓
郑文婧
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Northeastern University China
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Abstract

本发明提供一种基于神经网络的PM2.5浓度检测方法及装置,首先基于夫琅禾费衍射原理建立激光检测系统,进而根据所述激光检测系统采集到的光强数字信号,基于夫琅禾费衍射原理,验证所述光强数字信号与PM2.5浓度值存在对应函数关系,将所述光强数字信号作为输入量,建立正则化神经网络模型,输出PM2.5浓度值,该方法克服了现有技术中PM2.5浓度检测方法自动化程度低的缺点,并且能够实现重复检测,检测精度高,计算简便。

The invention provides a method and device for detecting PM2.5 concentration based on a neural network. First, a laser detection system is established based on the principle of Fraunhofer diffraction, and then according to the light intensity digital signal collected by the laser detection system, the Fraunhofer Based on the principle of diffraction, it is verified that there is a corresponding functional relationship between the light intensity digital signal and the PM2.5 concentration value, and the light intensity digital signal is used as an input to establish a regularized neural network model to output the PM2.5 concentration value. The shortcomings of the low automation degree of the PM2.5 concentration detection method in the prior art are overcome, and repeated detection can be realized, the detection accuracy is high, and the calculation is simple and convenient.

Description

基于神经网络的PM2.5浓度检测方法及装置PM2.5 Concentration Detection Method and Device Based on Neural Network

技术领域:Technical field:

本发明涉及浓度检测领域,尤其涉及一种基于神经网络的PM2.5浓度检测方法及装置。The invention relates to the field of concentration detection, in particular to a neural network-based PM2.5 concentration detection method and device.

背景技术:Background technique:

近年来,我国中东部地区相继出现严重的雾霾和污染的空气,而相关研究表明,PM2.5是雾霾天气的罪魁祸首。PM2.5是指大气中空气动力学直径小于或等于2.5μm的颗粒物,也称为可入肺颗粒物,与较粗的大气颗粒相比,PM2.5粒径小,富含大量有毒、有害物质且在大气中的停留时间长、输送距离远,污染大气环境,并会对人们健康构成严重威胁。In recent years, severe smog and polluted air have appeared in the central and eastern regions of my country, and related studies have shown that PM2.5 is the chief culprit of smog. PM2.5 refers to particulate matter with an aerodynamic diameter less than or equal to 2.5 μm in the atmosphere, also known as particulate matter that can enter the lungs. Compared with coarser atmospheric particles, PM2.5 has a smaller particle size and is rich in a large number of toxic and harmful substances And the residence time in the atmosphere is long, the transportation distance is long, pollutes the atmospheric environment, and will pose a serious threat to people's health.

现有的PM2.5浓度检测方法,多采用手动式重量法、β射线衰减法和微量振荡天平法。然而,手动式重量法检测PM2.5的方法存在自动化程度低、检测重复性差,易产生积累误差,有介质消耗等问题,β射线衰减法和微量振荡天平法的粒子检测下限难以达到理想水平。The existing PM2.5 concentration detection methods mostly use manual gravimetric method, β-ray attenuation method and micro-vibration balance method. However, the method of manual gravimetric detection of PM2.5 has problems such as low automation, poor detection repeatability, easy to accumulate errors, and medium consumption.

发明内容:Invention content:

针对现有技术的缺陷,本发明提供一种基于神经网络的PM2.5浓度检测方法及装置,克服了现有技术中PM2.5浓度检测方法自动化程度低的缺点,并且能够实现重复检测,检测精度高,计算简便。Aiming at the defects of the prior art, the present invention provides a method and device for detecting PM2.5 concentration based on a neural network, which overcomes the defect of low automation of the PM2.5 concentration detection method in the prior art, and can realize repeated detection, detection High precision and easy calculation.

一方面,本发明提供一种基于神经网络的PM2.5浓度检测方法,包括:On the one hand, the present invention provides a kind of PM2.5 concentration detection method based on neural network, comprising:

基于夫琅禾费衍射原理建立激光检测系统;Establish a laser detection system based on the principle of Fraunhofer diffraction;

根据所述激光检测系统采集到的光强数字信号,基于夫琅禾费衍射原理,验证所述光强数字信号与PM2.5浓度值存在对应函数关系;According to the light intensity digital signal collected by the laser detection system, based on the Fraunhofer diffraction principle, it is verified that there is a corresponding functional relationship between the light intensity digital signal and the PM2.5 concentration value;

将所述光强数字信号作为输入量,建立正则化神经网络模型,输出PM2.5浓度值。Using the light intensity digital signal as an input, a regularized neural network model is established to output a PM2.5 concentration value.

可选地,所述激光检测系统包括:供电单元、He-Ne激光器、滤光透镜、扩束透镜、空气泵、空气室、信号接收单元、检测单元和计算单元;Optionally, the laser detection system includes: a power supply unit, a He-Ne laser, a filter lens, a beam expander lens, an air pump, an air chamber, a signal receiving unit, a detection unit and a calculation unit;

其中,所述供电单元用于为所述He-Ne激光器、所述空气泵、所述检测单元和所述计算单元提供电源;Wherein, the power supply unit is used to provide power for the He-Ne laser, the air pump, the detection unit and the calculation unit;

所述信号接收单元包括傅立叶透镜和70路光电探测器,用于接收经空气颗粒衍射后的光信号,并将其转换为光强模拟信号;The signal receiving unit includes a Fourier lens and 70 photodetectors, which are used to receive the light signal diffracted by air particles and convert it into an analog signal of light intensity;

所述检测单元用于将所述光强模拟信号经放大处理后转换为光强数字信号;The detection unit is used to amplify the light intensity analog signal and convert it into a light intensity digital signal;

所述计算单元用于根据所述光强数字信号进行建模,计算得到PM2.5浓度值;The calculation unit is used for modeling according to the light intensity digital signal, and calculates the PM2.5 concentration value;

所述供电单元分别与所述He-Ne激光器、所述空气泵、所述检测单元和所述计算单元相连,所述He-Ne激光器与所述滤光透镜相连,所述空气室分别与所述扩束透镜、所述空气泵和所述信号接收单元相连,所述信号接收单元与所述检测单元相连,所述检测单元与所述计算单元相连。The power supply unit is respectively connected with the He-Ne laser, the air pump, the detection unit and the calculation unit, the He-Ne laser is connected with the filter lens, and the air chamber is respectively connected with the The beam expander lens, the air pump are connected to the signal receiving unit, the signal receiving unit is connected to the detection unit, and the detection unit is connected to the computing unit.

可选地,所述根据所述激光检测系统采集到的光强数字信号,基于夫琅禾费衍射原理,验证所述光强数字信号与PM2.5浓度值存在对应函数关系,包括:Optionally, according to the light intensity digital signal collected by the laser detection system, based on the principle of Fraunhofer diffraction, it is verified that there is a corresponding functional relationship between the light intensity digital signal and the PM2.5 concentration value, including:

根据所述光电探测器测量的光能量分布向量,计算处理后得到待测颗粒群的粒度分布,将直径小于2.5μm的粒度分布百分比相加,得到PM2.5浓度值,验证所述光强数字信号与PM2.5浓度值存在对应关系。According to the light energy distribution vector measured by the photodetector, the particle size distribution of the particle group to be measured is obtained after calculation and processing, and the particle size distribution percentages with a diameter less than 2.5 μm are added to obtain the PM2.5 concentration value, and the light intensity number is verified. There is a corresponding relationship between the signal and the PM2.5 concentration value.

可选地,所述待测颗粒群的粒度分布,通过下式计算,Optionally, the particle size distribution of the particle group to be measured is calculated by the following formula,

E=TWE=TW

其中,E为光电探测器测量的光能量分布向量, T = t 11 . . . t 1 M . . . t N 1 . . . t NM 为光能贡献矩阵,W为待测颗粒群的粒度分布向量;Among them, E is the light energy distribution vector measured by the photodetector, T = t 11 . . . t 1 m . . . t N 1 . . . t N M is the light energy contribution matrix, and W is the particle size distribution vector of the particle group to be measured;

其中, t NM = C 1 D M [ J 0 2 ( X M , N ) + J 1 2 ( X M , N ) - J 0 2 ( X M , N - 1 ) - J 1 2 ( X M , N + 1 ) ] 为直径为DM的颗粒对探测器第N个探测环的光能量贡献,为固定常数,M为不同直径颗粒的种类,I0为入射光光强,J0(XM,N)为零阶Bessel函数,J1(XM,N)为一阶Bessel函数。in, t N M = C 1 D. m [ J 0 2 ( x m , N ) + J 1 2 ( x m , N ) - J 0 2 ( x m , N - 1 ) - J 1 2 ( x m , N + 1 ) ] is the light energy contribution of a particle with a diameter of D M to the Nth detection ring of the detector, is a fixed constant, M is the type of particles with different diameters, I 0 is the intensity of incident light, J 0 (X M,N ) is the zero-order Bessel function, and J 1 (X M,N ) is the first-order Bessel function.

可选地,所述PM2.5浓度值,通过下式计算,Optionally, the PM2.5 concentration value is calculated by the following formula,

其中,β空气密度在20℃标准大气压下取值1.205kg/m3,α为直径小于2.5μm的粒度分布。Wherein, β air density is 1.205 kg/m 3 at standard atmospheric pressure at 20°C, and α is the particle size distribution with a diameter less than 2.5 μm.

可选地,所述将所述光强数字信号作为输入量,建立正则化神经网络模型,输出得到PM2.5浓度值的步骤,包括:Optionally, the described light intensity digital signal is used as an input quantity, a regularized neural network model is established, and the step of outputting the PM2.5 concentration value includes:

初始化神经网络参数;Initialize the neural network parameters;

采用最小均方算法对神经网络模型的权值进行训练,调整权值大小。The least mean square algorithm is used to train the weights of the neural network model and adjust the size of the weights.

可选地,所述初始化神经网络参数,具体为:Optionally, the initialization of neural network parameters is specifically:

选取神经网络模型隐含层节点数等于训练样本数,选取高斯函数作为激励函数,选取所述激励函数中心作为样本数据中心,初始化神经网络的权值和激励函数拓展常数。The number of nodes in the hidden layer of the neural network model is selected to be equal to the number of training samples, the Gaussian function is selected as the activation function, the center of the activation function is selected as the sample data center, and the weights of the neural network and the expansion constants of the activation function are initialized.

另一方面,本发明提供一种基于神经网络的PM2.5浓度检测装置,包括:On the other hand, the present invention provides a kind of PM2.5 concentration detection device based on neural network, comprising:

激光检测系统建立单元,用于基于夫琅禾费衍射原理建立激光检测系统;A laser detection system establishment unit, used to establish a laser detection system based on the principle of Fraunhofer diffraction;

函数关系验证单元,用于根据所述激光检测系统采集到的光强数字信号,基于夫琅禾费衍射原理,验证所述光强数字信号与PM2.5浓度值存在对应函数关系;A functional relationship verification unit, used to verify that there is a corresponding functional relationship between the light intensity digital signal and the PM2.5 concentration value based on the light intensity digital signal collected by the laser detection system and based on the Fraunhofer diffraction principle;

神经网络模型计算单元,用于将所述光强数字信号作为输入量,建立正则化神经网络模型,输出PM2.5浓度值。The neural network model calculation unit is used to use the light intensity digital signal as an input quantity, establish a regularized neural network model, and output the PM2.5 concentration value.

可选地,所述神经网络模型计算单元,包括:Optionally, the neural network model calculation unit includes:

参数初始化模块,用于初始化神经网络参数;A parameter initialization module for initializing neural network parameters;

权值训练单元,用于采用最小均方算法对神经网络模型的权值进行训练,调整权值大小。The weight training unit is used to train the weight of the neural network model by adopting the least mean square algorithm, and adjust the size of the weight.

由上述技术方案可知,本发明的基于神经网络的PM2.5浓度检测方法及装置,首先基于夫琅禾费衍射原理建立激光检测系统,进而根据所述激光检测系统采集到的光强数字信号,基于夫琅禾费衍射原理,验证所述光强数字信号与PM2.5浓度值存在对应函数关系,将所述光强数字信号作为输入量,建立正则化神经网络模型,输出PM2.5浓度值,该方法克服了现有技术中PM2.5浓度检测方法自动化程度低的缺点,并且能够实现重复检测,检测精度高,计算简便。It can be seen from the above technical scheme that the neural network-based PM2.5 concentration detection method and device of the present invention first establishes a laser detection system based on the Fraunhofer diffraction principle, and then according to the light intensity digital signal collected by the laser detection system, Based on the principle of Fraunhofer diffraction, it is verified that there is a corresponding functional relationship between the light intensity digital signal and the PM2.5 concentration value, and the light intensity digital signal is used as an input to establish a regularized neural network model to output the PM2.5 concentration value , the method overcomes the shortcomings of the low automation degree of the PM2.5 concentration detection method in the prior art, and can realize repeated detection, high detection accuracy, and simple calculation.

附图说明:Description of drawings:

图1为本发明第一实施例提供的基于神经网络的PM2.5浓度检测方法流程示意图;Fig. 1 is the schematic flow chart of the PM2.5 concentration detection method based on neural network that the first embodiment of the present invention provides;

图2为本发明第一实施例提供的神经网络结构示意图;Fig. 2 is a schematic diagram of the neural network structure provided by the first embodiment of the present invention;

图3为本发明第二实施例提供的基于神经网络的PM2.5浓度检测方法流程示意图;Fig. 3 is the schematic flow chart of the PM2.5 concentration detection method based on the neural network provided by the second embodiment of the present invention;

图4为本发明第二实施例提供的激光检测系统结构示意图;Fig. 4 is a schematic structural diagram of the laser detection system provided by the second embodiment of the present invention;

图5为本发明第二实施例提供的神经网络模型对5组数据拟合示意图;Fig. 5 is a schematic diagram of the neural network model provided by the second embodiment of the present invention for fitting 5 groups of data;

图6为本发明第三实施例提供的基于神经网络的PM2.5浓度检测装置结构示意图;Fig. 6 is the structure diagram of the PM2.5 concentration detection device based on neural network provided by the third embodiment of the present invention;

图7为本发明第三实施例提供PM2.5浓度值对比结果。FIG. 7 provides the comparison results of PM2.5 concentration values according to the third embodiment of the present invention.

具体实施方式:Detailed ways:

下面结合附图和实施例,对本发明的具体实施方式作进一步详细描述。以下实施例用于说明本发明,但不用来限制本发明的范围。The specific implementation manners of the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. The following examples are used to illustrate the present invention, but are not intended to limit the scope of the present invention.

图1示出了本发明第一实施例提供的基于神经网络的PM2.5浓度检测方法流程示意图,如图1所示,本实施例的方法如下所述。Fig. 1 shows a schematic flowchart of a neural network-based PM2.5 concentration detection method provided by the first embodiment of the present invention. As shown in Fig. 1 , the method of this embodiment is as follows.

101、基于夫琅禾费衍射原理建立激光检测系统。101. Establish a laser detection system based on the principle of Fraunhofer diffraction.

本步骤中,所述激光检测系统包括:供电单元、He-Ne激光器、滤光透镜、扩束透镜、空气泵、空气室、信号接收单元、检测单元和计算单元;In this step, the laser detection system includes: a power supply unit, a He-Ne laser, a filter lens, a beam expander lens, an air pump, an air chamber, a signal receiving unit, a detection unit and a calculation unit;

其中,所述供电单元用于为所述He-Ne激光器、所述空气泵、所述检测单元和所述计算单元提供电源;Wherein, the power supply unit is used to provide power for the He-Ne laser, the air pump, the detection unit and the calculation unit;

所述信号接收单元包括傅立叶透镜和70路光电探测器,用于接收经空气颗粒衍射后的光信号,并将其转换为光强模拟信号;The signal receiving unit includes a Fourier lens and 70 photodetectors, which are used to receive the light signal diffracted by air particles and convert it into an analog signal of light intensity;

所述检测单元用于将所述光强模拟信号经放大处理后转换为光强数字信号;The detection unit is used to amplify the light intensity analog signal and convert it into a light intensity digital signal;

所述计算单元用于根据所述光强数字信号进行建模,计算得到PM2.5浓度值;The calculation unit is used for modeling according to the light intensity digital signal, and calculates the PM2.5 concentration value;

所述供电单元分别与所述He-Ne激光器、所述空气泵、所述检测单元和所述计算单元相连,所述He-Ne激光器与所述滤光透镜相连,所述空气室分别与所述扩束透镜、所述空气泵和所述信号接收单元相连,所述信号接收单元与所述检测单元相连,所述检测单元与所述计算单元相连。The power supply unit is respectively connected with the He-Ne laser, the air pump, the detection unit and the calculation unit, the He-Ne laser is connected with the filter lens, and the air chamber is respectively connected with the The beam expander lens, the air pump are connected to the signal receiving unit, the signal receiving unit is connected to the detection unit, and the detection unit is connected to the computing unit.

102、根据所述激光检测系统采集到的光强数字信号,基于夫琅禾费衍射原理,验证所述光强数字信号与PM2.5浓度值存在对应函数关系。102. According to the light intensity digital signal collected by the laser detection system and based on the Fraunhofer diffraction principle, verify that there is a corresponding functional relationship between the light intensity digital signal and the PM2.5 concentration value.

本步骤中,应说明的是,在建立神经网络模型之前,需要对该神经网络模型进行性能验证,进而严谨地说明该方法的有效性。因此,为了通过神经网络获取这样复杂的函数映射关系,需要根据激光检测系统采集到的光强数字信号,基于夫琅禾费衍射原理计算,能够得到唯一的PM2.5浓度值,从而验证了光强数字信号与PM2.5浓度值之间存在函数对应关系。In this step, it should be noted that before the neural network model is established, the performance of the neural network model needs to be verified, and then the validity of the method is strictly explained. Therefore, in order to obtain such a complex function mapping relationship through the neural network, it is necessary to obtain the only PM2. There is a functional correspondence between the strong digital signal and the PM2.5 concentration value.

103、将所述光强数字信号作为输入量,建立正则化神经网络模型,输出PM2.5浓度值。103. Using the light intensity digital signal as an input, establish a regularized neural network model, and output a PM2.5 concentration value.

本步骤中,图2示出了本发明第一实施例提供的神经网络结构示意图,如图2所示,选取隐含层节点数为样本数,将光强数字信号XiN=(xi1,xi2,...,xiN)为神经网络输入量,其中i=1,2,...p为训练样本,N为输入节点维数,本实施例中取N=70,令每个训练样本均对应一个隐含层节点,即取p个隐含层神经元。采用高斯函数作为隐含层和输出层的激励函数,体现正则化神经网络模型的非线性映射能力,表达式如下:In this step, FIG. 2 shows a schematic diagram of the neural network structure provided by the first embodiment of the present invention. As shown in FIG. 2, the number of nodes in the hidden layer is selected as the number of samples, and the light intensity digital signal X iN =(x i1 , x i2 ,...,x iN ) are neural network input quantities, where i=1,2,...p are training samples, and N is the dimension of input nodes. In this embodiment, N=70, so that each Each training sample corresponds to a hidden layer node, that is, p hidden layer neurons are taken. The Gaussian function is used as the activation function of the hidden layer and the output layer to reflect the nonlinear mapping ability of the regularized neural network model, and the expression is as follows:

GG ii (( Xx )) == expexp (( -- || || Xx -- CC iNi || || 22 δδ ii 22 )) ,, ii == 1,21,2 ,, .. .. .. ,, pp

其中, | | X - C iN | | = ( x 1 - c i 1 ) 2 + ( x 2 - c i 2 ) 2 + . . . + ( x N - c iN ) 2 为二维范数,δi为径向奇函数的扩展常数;in, | | x - C i | | = ( x 1 - c i 1 ) 2 + ( x 2 - c i 2 ) 2 + . . . + ( x N - c i ) 2 is the two-dimensional norm, and δ i is the expansion constant of the radial odd function;

令权值阵为W=(w1,w2,...,wp)T,输出值为PM2.5浓度,则有p维隐含层每个节点输出,表达式如下:Let the weight matrix be W=(w 1 ,w 2 ,...,w p ) T , and the output value is PM2.5 concentration, then there is a p-dimensional hidden layer for each node output, the expression is as follows:

Ff (( Xx )) == ΣΣ ii == 11 pp ww ii GG ii (( Xx ))

应说明的是,本实施例为简化运算,方便移植单片机,使系统小型化,选取每个隐含层基函数中心为CiN=XiN,即每个基函数的数据中心对应为相应样本本身,径向拓展函数取为其中dmax为样本之间的最大距离。It should be noted that in this embodiment, in order to simplify calculations, facilitate the transplantation of single-chip microcomputers, and make the system miniaturized, the center of each hidden layer basis function is selected as C iN =X iN , that is, the data center of each basis function corresponds to the corresponding sample itself , the radial expansion function is taken as where d max is the maximum distance between samples.

因此本发明只需对权值阵进行训练,调整权值大小去拟合映射关系,并确定神经网络模型的参数,进行在线或离线拟合,估计系统性能。Therefore, the present invention only needs to train the weight matrix, adjust the size of the weight to fit the mapping relationship, determine the parameters of the neural network model, and perform online or offline fitting to estimate system performance.

本实施例的基于神经网络的PM2.5浓度检测方法及装置,首先基于夫琅禾费衍射原理建立激光检测系统,进而根据所述激光检测系统采集到的光强数字信号,基于夫琅禾费衍射原理,验证所述光强数字信号与PM2.5浓度值存在对应函数关系,将所述光强数字信号作为输入量,建立正则化神经网络模型,输出PM2.5浓度值,该方法克服了现有技术中PM2.5浓度检测方法自动化程度低的缺点,并且能够实现重复检测,积累误差小,计算简便。In the neural network-based PM2.5 concentration detection method and device of this embodiment, a laser detection system is first established based on the Fraunhofer diffraction principle, and then according to the light intensity digital signal collected by the laser detection system, based on Fraunhofer Diffraction principle, verify that there is a corresponding functional relationship between the light intensity digital signal and the PM2.5 concentration value, use the light intensity digital signal as an input, establish a regularized neural network model, and output the PM2.5 concentration value, this method overcomes the The PM2.5 concentration detection method in the prior art has the disadvantage of low degree of automation, and can realize repeated detection, with small accumulation error and simple calculation.

图3示出了本发明第二实施例提供的基于神经网络的PM2.5浓度检测方法流程示意图,如图3所示,本实施例的方法如下所述。Fig. 3 shows a schematic flow chart of the neural network-based PM2.5 concentration detection method provided by the second embodiment of the present invention. As shown in Fig. 3, the method of this embodiment is as follows.

301、根据基于夫琅禾费衍射原理建立的激光检测系统,采集70路光电信号数据。301. According to the laser detection system established based on the principle of Fraunhofer diffraction, collect 70 channels of photoelectric signal data.

本步骤中,具体地,供电单元将交流电经过开关电源转化为直流电,在经过三端稳压集成电路LM317配合电位器输出稳压3V直流电供He-Ne激光器使用,He-Ne激光器产生波长为λ=0.6328μm的红色单色激光,从He-Ne激光器发出的激光经过滤光透镜和扩束透镜的整理后,形成一束平行的单色光,作为激光粒度测量的入射光,采用空气泵使空气室内的空气充分均匀分散于样品盒中,入射光经过空气室时发生夫琅禾费衍射,信号接收单元采用焦距为180mm的傅立叶透镜接收衍射光,将光线汇聚至光电探测器上,所述探测器为扇形结构,由70个对应于同一圆心角的扇环组成,每一环检测其对应的散射角范围内的散射光能,且扇形的圆心处开一个小孔,用于光路对中,通过检测单元将探测器接收到的光强模拟信号转换为光强数字信号,计算单元采用计算单片机进行建模和计算,得到空气粒度及PM2.5浓度值,如图4所示,图4示出了本发明第二实施例提供的激光检测系统结构示意图。In this step, specifically, the power supply unit converts AC power into DC power through a switching power supply, and outputs regulated 3V DC power through a three-terminal voltage stabilizing integrated circuit LM317 with a potentiometer for use by the He-Ne laser, and the He-Ne laser generates a wavelength of λ =0.6328μm red monochromatic laser, the laser emitted from the He-Ne laser is sorted by the filter lens and the beam expander lens to form a beam of parallel monochromatic light, which is used as the incident light for laser particle size measurement. The air in the air chamber is fully and evenly dispersed in the sample box, Fraunhofer diffraction occurs when the incident light passes through the air chamber, the signal receiving unit adopts a Fourier lens with a focal length of 180mm to receive the diffracted light, and converges the light to the photodetector. The detector is a fan-shaped structure, which is composed of 70 fan rings corresponding to the same central angle. Each ring detects the scattered light energy within its corresponding scattering angle range, and a small hole is opened at the center of the fan-shaped circle for optical path alignment. , the light intensity analog signal received by the detector is converted into a light intensity digital signal through the detection unit, and the calculation unit uses a computing single-chip microcomputer for modeling and calculation to obtain air particle size and PM2.5 concentration values, as shown in Figure 4, Figure 4 A schematic structural diagram of the laser detection system provided by the second embodiment of the present invention is shown.

302、根据夫琅禾费衍射原理,验证所述70路光电信号数据与PM2.5浓度值存在对应函数关系。302. According to the principle of Fraunhofer diffraction, verify that there is a corresponding functional relationship between the 70 channels of photoelectric signal data and the PM2.5 concentration value.

本步骤中,根据夫琅禾费衍射原理,当光线经过一个直径为D的颗粒时,任意角度下的衍射光强分布,通过下式计算,In this step, according to the principle of Fraunhofer diffraction, when light passes through a particle with a diameter of D, the distribution of diffracted light intensity at any angle is calculated by the following formula,

II (( θθ )) == II 00 ππ 22 DD. 44 1616 ff 22 λλ 22 [[ 22 JJ 11 (( Xx )) Xx ]] 22

其中,I(θ)为光强数字信号任意角度下的衍射光强度分布,I0为入射光光强,f为傅立叶透镜的焦距,D为空气颗粒的直径,λ为入射光的波长,J1(X)为一阶Bessel函数,则衍射光分布在探测器的第n个探测环(环半径从Sn到Sn+1,对应的角度从θn到θn+1)上的光能量,通过下式计算,Among them, I(θ) is the intensity distribution of diffracted light under any angle of light intensity digital signal, I 0 is the intensity of incident light, f is the focal length of Fourier lens, D is the diameter of the air particle, λ is the wavelength of the incident light, J 1 (X) is the first-order Bessel function, then the diffracted light is distributed in the nth detection ring of the detector (the ring radius is from S n to S n+1 , The light energy on the corresponding angle from θ n to θ n+1 ) is calculated by the following formula,

ee nno == ∫∫ θθ nno θθ nno ++ 11 II (( θθ )) ππ sinsin (( θθ )) dθdθ == ∫∫ SS nno SS nno ++ 11 II (( SS )) πSdSπSdS ,, (( nno == 1,21,2 ,, .. .. .. NN ))

由于θ很小,则将其带入上式并由Bessel函数递推公式,得到表达式如下,Since θ is small, then Putting it into the above formula and recursing the formula by the Bessel function, the expression is as follows,

ee nno == πDπD 22 88 II 00 [[ JJ 00 22 (( Xx nno )) ++ JJ 11 22 (( Xx nno )) -- JJ 00 22 (( Xx nno ++ 11 )) -- JJ 11 22 (( Xx nno ++ 11 )) ]]

其中,J0表示零阶Bessel函数。in, J 0 represents the zero-order Bessel function.

假设采集的空气由M种直径的颗粒组成,设直径为Di的颗粒有Qi个,则颗粒群在第n环的总衍射光能量,通过下式计算,Assuming that the collected air is composed of particles with M diameters, and assuming that there are Q i particles with a diameter of D i , the total diffracted light energy of the particle group at the nth ring is calculated by the following formula,

ee nno == πIπI 00 88 ΣΣ ii == 11 Mm QQ ii DD. ii 22 [[ JJ 00 22 (( Xx ii ,, nno )) ++ JJ 11 22 (( Xx ii ,, nno )) -- JJ 00 22 (( Xx ii ,, nno ++ 11 )) -- JJ 11 22 (( Xx ii ,, nno ++ 11 )) ]]

通常的颗粒分布用重量份数表示,重量与个数的关系,通过下式计算,The usual particle distribution is expressed in parts by weight, and the relationship between weight and number is calculated by the following formula,

QQ ii == 66 WW ii πρπρ DD. ii 33

其中,ρ为颗粒物质的密度,进一步地,所述颗粒群在第n环的总衍射光能量,通过下式计算,Wherein, ρ is the density of the particulate matter, and further, the total diffracted light energy of the nth ring of the particle group is calculated by the following formula,

ee nno == 33 II 00 44 ρρ ΣΣ ii == 11 Mm WW ii DD. ii [[ JJ 00 22 (( Xx ii ,, nno )) ++ JJ 11 22 (( Xx ii ,, nno )) -- JJ 00 22 (( Xx ii ,, nno ++ 11 )) -- JJ 11 22 (( Xx ii ,, nno ++ 11 )) ]]

假设探测器由N个环组成,则可以建立一个由N个方程组组成的线性方程组Assuming that the detector consists of N rings, a system of linear equations consisting of N equations can be established

ee 11 == 33 II 00 44 ρρ ΣΣ ii == 11 Mm WW ii DD. ii [[ JJ 00 22 (( Xx ii ,, 11 )) ++ JJ 11 22 (( Xx ii ,, 11 )) -- JJ 00 22 (( Xx ii ,, 22 )) -- JJ 11 22 (( Xx ii ,, 22 )) ]] ee 22 == 33 II 00 44 ρρ ΣΣ ii == 11 Mm WW ii DD. ii [[ JJ 00 22 (( Xx ii ,, 22 )) ++ JJ 11 22 (( Xx ii ,, 22 )) -- JJ 00 22 (( Xx ii ,, 33 )) -- JJ 11 22 (( Xx ii ,, 33 )) ]] .. .. .. ee NN == 33 II 00 44 ρρ ΣΣ ii == 11 Mm WW ii DD. ii [[ JJ 00 22 (( Xx ii ,, NN )) ++ JJ 11 22 (( Xx ii ,, NN )) -- JJ 00 22 (( Xx ii ,, NN ++ 11 )) -- JJ 11 22 (( Xx ii ,, NN ++ 11 )) ]]

可将上式写成矩阵形式,如下表示,The above formula can be written in matrix form as follows,

E=TWE=TW

其中,E为光电探测器测量的光能量分布向量, T = t 11 . . . t 1 M . . . t N 1 . . . t NM 为光能贡献矩阵,W为待测颗粒群的粒度分布向量;Among them, E is the light energy distribution vector measured by the photodetector, T = t 11 . . . t 1 m . . . t N 1 . . . t N M is the light energy contribution matrix, and W is the particle size distribution vector of the particle group to be measured;

其中, t NM = C 1 D M [ J 0 2 ( X M , N ) + J 1 2 ( X M , N ) - J 0 2 ( X M , N - 1 ) - J 1 2 ( X M , N + 1 ) ] 为直径为DM的颗粒对探测器第N个探测环的光能量贡献,为固定常数,M为不同直径颗粒的种类,I0为入射光光强,J0(XM,N)为零阶Bessel函数,J1(XM,N)为一阶Bessel函数。in, t N M = C 1 D. m [ J 0 2 ( x m , N ) + J 1 2 ( x m , N ) - J 0 2 ( x m , N - 1 ) - J 1 2 ( x m , N + 1 ) ] is the light energy contribution of a particle with a diameter of D M to the Nth detection ring of the detector, is a fixed constant, M is the type of particles with different diameters, I 0 is the intensity of incident light, J 0 (X M,N ) is the zero-order Bessel function, and J 1 (X M,N ) is the first-order Bessel function.

根据上述线性方程组,可得出待测颗粒群的粒度分布,将直径小于2.5μm的粒度相加即可得到PM2.5粒度α,则PM2.5浓度,可通过下式计算,According to the above linear equations, the particle size distribution of the particle group to be tested can be obtained, and the PM2.5 particle size α can be obtained by adding the particle sizes with a diameter less than 2.5 μm. Then, the PM2.5 concentration can be calculated by the following formula,

其中,β空气密度在20℃标准大气压下取值1.205kg/m3,α为直径小于2.5μm的粒度分布。Wherein, β air density is 1.205 kg/m 3 at standard atmospheric pressure at 20°C, and α is the particle size distribution with a diameter less than 2.5 μm.

由此,根据所述光能量分布向量,得到待测颗粒群的粒度分布,将直径小于2.5μm的粒度分布百分比相加后乘以空气密度,得到PM2.5浓度值,验证了所述光强数字信号与PM2.5浓度值存在对应函数关系。Thus, according to the light energy distribution vector, the particle size distribution of the particle group to be measured is obtained, and the particle size distribution percentages with diameters less than 2.5 μm are added and multiplied by the air density to obtain the PM2.5 concentration value, which verifies the light intensity There is a corresponding functional relationship between the digital signal and the PM2.5 concentration value.

303、将所述光强数字信号作为输入量,建立正则化神经网络模型。303. Using the light intensity digital signal as an input, establish a regularized neural network model.

304、初始化神经网络参数。304. Initialize neural network parameters.

本步骤中,具体为:选取神经网络模型隐含层节点数等于训练样本数,选取高斯函数函数作为激励函数,选取所述激励函数中心作为样本数据中心,初始化神经网络的权值和激励函数拓展常数。In this step, specifically: select the number of nodes in the hidden layer of the neural network model equal to the number of training samples, select the Gaussian function as the activation function, select the center of the activation function as the sample data center, initialize the weights of the neural network and expand the activation function constant.

305、将标准PM2.5浓度值作为输出量,采用最小均方算法对神经网络模型的权值进行训练,调整权值大小。305. Using the standard PM2.5 concentration value as the output, the least mean square algorithm is used to train the weights of the neural network model, and the size of the weights is adjusted.

本步骤中,应说明的是,需要采集激光检测系统的光电数据和实时对应的PM2.5浓度值,可连续隔一小时采集一次数据,同时以中国环境监测总站为准作为对应的实时PM2.5数据,一共收集200组数据,为了防止检测结果的偶然性和不准确性,增强数据具有代表性,从中选取包含较大动态范围的、具有一定间隔的100组数据作为训练集建立正则化神经网络模型,在剩余的100组数据中选取30个数据作为测试集,对建立的正则化神经网络模型进行验证。In this step, it should be explained that the photoelectric data of the laser detection system and the corresponding real-time PM2.5 concentration value need to be collected, and the data can be collected every one hour continuously, and at the same time, the corresponding real-time PM2. 5 data, a total of 200 sets of data were collected. In order to prevent the accidental and inaccurate detection results and enhance the representativeness of the data, 100 sets of data with a large dynamic range and a certain interval were selected as the training set to establish a regularized neural network. In the remaining 100 sets of data, 30 data were selected as the test set to verify the established regularized neural network model.

本实施例中权值可初始化为任意值,在利用样本数据及已知标准PM2.5值,采用最小均方算法学习规则进行训练,学习信号表达式如下,In this embodiment, the weight value can be initialized to any value. Using the sample data and the known standard PM2.5 value, the least mean square algorithm learning rule is used for training. The learning signal expression is as follows,

ej=dj-WTGj(x)   j=1,2,...pe j =d j -W T G j (x) j=1,2,...p

权向量调整量表达式如下,The expression of weight vector adjustment is as follows,

△W=ηejGj(x)△W=ηe j G j (x)

则有权向调整量表达式如下,Then the expression of the right to adjust the amount is as follows,

W(k+1)=W(k)+△WW(k+1)=W(k)+△W

其中,η为学习速率,η初始化为0~1的任意正数,如图5所示,图5示出了本发明第二实施例提供的神经网络模型对5组数据拟合示意图。Wherein, η is the learning rate, and η is initialized to any positive number from 0 to 1, as shown in FIG. 5 , which shows a schematic diagram of the neural network model provided by the second embodiment of the present invention for fitting 5 sets of data.

为了指导在计算单元中的建模、计算,需要保证收敛的情况下尽可能高效的对数据进行学习、训练,因此用迭代次数j和拟合误差δ来评价神经网络的性能。适当增大学校速率η,可以减少迭代次数j,加速数据拟合,但η过大会导致神经网络拟合发散,系统不稳定,即迭代次数表征系统的计算复杂度,而拟合误差δ为对每组数据拟合时所允许的偏差量。拟合误差δ越大,则拟合精度下降,但相应的迭代次数减少,则拟合误差δ表征神经网络算法的计算精度。本发明中,由于官方给出的PM2.5数据精度为整数个位,因此在训练终止条件中将拟合误差δ设置为小于等于1即可。In order to guide the modeling and calculation in the computing unit, it is necessary to learn and train the data as efficiently as possible while ensuring convergence. Therefore, the number of iterations j and the fitting error δ are used to evaluate the performance of the neural network. Appropriately increasing the school rate η can reduce the number of iterations j and speed up data fitting, but too much η will cause the neural network fitting to diverge and the system to be unstable, that is, the number of iterations represents the computational complexity of the system, and the fitting error δ is The amount of deviation allowed for each set of data fitting. The larger the fitting error δ, the fitting accuracy decreases, but the corresponding number of iterations decreases, and the fitting error δ represents the calculation accuracy of the neural network algorithm. In the present invention, since the official PM2.5 data accuracy is an integer number of digits, it is sufficient to set the fitting error δ to be less than or equal to 1 in the training termination condition.

306、输入采集到的光强数字信号,根据神经网络模型,得到PM2.5浓度值输出。306. Input the collected light intensity digital signal, and obtain the PM2.5 concentration value output according to the neural network model.

本实施例基于夫琅禾费衍射原理,建立了激光检测系统,并验证了采集到的光电数据与PM2.5浓度确实存在实际的映射关系,从而构建正则化神经网络计算模型,通过对神经网络学习、训练获取待求的映射关系,从而高效、精确的检测PM2.5浓度,使得整个监测系统具有自学习能力,拥有较高的实用价值。In this embodiment, based on the principle of Fraunhofer diffraction, a laser detection system is established, and it is verified that there is an actual mapping relationship between the collected photoelectric data and the PM2. Learning and training to obtain the required mapping relationship, so as to efficiently and accurately detect PM2.5 concentration, so that the entire monitoring system has self-learning ability and has high practical value.

图6示出了本发明第三实施例提供的基于神经网络的PM2.5浓度检测装置结构示意图,如图6所示,本实施例中的基于神经网络的PM2.5浓度检测装置包括:激光检测系统建立单元61、函数关系验证单元62、神经网络模型计算单元63。Fig. 6 shows the structural representation of the PM2.5 concentration detection device based on the neural network provided by the third embodiment of the present invention, as shown in Figure 6, the PM2.5 concentration detection device based on the neural network in the present embodiment includes: laser A detection system establishment unit 61 , a functional relationship verification unit 62 , and a neural network model calculation unit 63 .

激光检测系统建立单元61用于基于夫琅禾费衍射原理建立激光检测系统;The laser detection system establishment unit 61 is used to establish a laser detection system based on the principle of Fraunhofer diffraction;

函数关系验证单元62用于根据所述激光检测系统采集到的光强数字信号,基于夫琅禾费衍射原理,验证所述光强数字信号与PM2.5浓度值存在对应函数关系;The functional relationship verification unit 62 is used to verify that there is a corresponding functional relationship between the light intensity digital signal and the PM2.5 concentration value based on the light intensity digital signal collected by the laser detection system and based on the Fraunhofer diffraction principle;

神经网络模型计算单元63用于将所述光强数字信号作为输入量,建立正则化神经网络模型,输出PM2.5浓度值。The neural network model calculation unit 63 is used to use the light intensity digital signal as an input quantity, establish a regularized neural network model, and output a PM2.5 concentration value.

其中,所述神经网络模型计算单元,还包括:Wherein, the neural network model calculation unit also includes:

参数初始化模块,用于初始化神经网络参数;A parameter initialization module for initializing neural network parameters;

权值训练模块,用于采用最小均方算法对神经网络模型的权值进行训练,调整权值大小。The weight training module is used to train the weight of the neural network model by adopting the least mean square algorithm, and adjust the size of the weight.

最后,通过将国内的环境监测官方网站标准PM2.5浓度值、基于夫琅禾费衍射模型算计计算出的PM2.5浓度值,以及本发明基于神经网络算计计算出的PM2.5浓度值,对沈阳市某月内的PM2.5浓度值数据进行对比,上述PM2.5浓度值对比结果如图7所示,可看出采用神经网络算法得到的PM2.5浓度值与国内官方网站结果的偏差较小,说明本发明的基于神经网络PM2.5浓度检测方法及装置是可行的,并且计算高效,检测精度高。Finally, by combining the standard PM2.5 concentration value of the domestic environmental monitoring official website, the PM2.5 concentration value calculated based on the Fraunhofer diffraction model, and the PM2.5 concentration value calculated based on the neural network in the present invention, Comparing the PM2.5 concentration data in a certain month in Shenyang City, the comparison results of the above PM2.5 concentration values are shown in Figure 7. It can be seen that the PM2.5 concentration value obtained by using the neural network algorithm is consistent with the results of domestic official websites. The small deviation shows that the neural network-based PM2.5 concentration detection method and device of the present invention is feasible, efficient in calculation, and high in detection accuracy.

最后应说明的是:以上各实施例仅用以说明本发明的技术方案,而非对其限制;尽管参照前述各实施例对本发明进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分或者全部技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本发明权利要求所限定的范围。Finally, it should be noted that: the above embodiments are only used to illustrate the technical solutions of the present invention, rather than limiting them; although the present invention has been described in detail with reference to the foregoing embodiments, those of ordinary skill in the art should understand that: It is still possible to modify the technical solutions described in the foregoing embodiments, or perform equivalent replacements for some or all of the technical features; and these modifications or replacements do not make the essence of the corresponding technical solutions depart from the scope defined by the claims of the present invention .

Claims (9)

1. A PM2.5 concentration detection method based on a neural network is characterized by comprising the following steps:
establishing a laser detection system based on the Fraunhofer diffraction principle;
verifying that the light intensity digital signal has a corresponding function relation with a PM2.5 concentration value based on a Fraunhofer diffraction principle according to the light intensity digital signal acquired by the laser detection system;
and establishing a regularization neural network model by taking the light intensity digital signal as an input quantity, and outputting a PM2.5 concentration value.
2. The method of claim 1, wherein the laser detection system comprises: the device comprises a power supply unit, a He-Ne laser, a filter lens, a beam expanding lens, an air pump, an air chamber, a signal receiving unit, a detection unit and a calculation unit;
wherein the power supply unit is used for providing power supply for the He-Ne laser, the air pump, the detection unit and the calculation unit;
the signal receiving unit comprises a Fourier lens and 70 paths of photodetectors and is used for receiving the optical signals diffracted by the air particles and converting the optical signals into light intensity analog signals;
the detection unit is used for converting the light intensity analog signal into a light intensity digital signal after amplification processing;
the calculation unit is used for modeling according to the light intensity digital signal and calculating to obtain a PM2.5 concentration value;
the power supply unit is respectively connected with the He-Ne laser, the air pump, the detection unit and the calculation unit, the He-Ne laser is connected with the filter lens, the air chamber is respectively connected with the beam expanding lens, the air pump and the signal receiving unit, the signal receiving unit is connected with the detection unit, and the detection unit is connected with the calculation unit.
3. The method of claim 1, wherein the verifying the digital light intensity signal according to the collected digital light intensity signal of the laser detection system based on Fraunhofer diffraction principle has a corresponding function relationship with the concentration value of PM2.5 comprises:
and calculating and processing the light energy distribution vector measured by the photoelectric detector to obtain the particle size distribution of the particle group to be measured, adding the particle size distribution percentages with the diameters smaller than 2.5 mu m to obtain a PM2.5 concentration value, and verifying that the light intensity digital signal and the PM2.5 concentration value have a corresponding relation.
4. The method according to claim 3, wherein the particle size distribution of the particle group to be measured is calculated by the following formula,
E=TW
wherein E is the light energy distribution vector measured by the photoelectric detector, T = t 11 . . . t 1 M . . . t N 1 . . . t NM w is a particle size distribution vector of the particle group to be detected;
wherein, t NM = C 1 D M [ J 0 2 ( X M , N ) + J 1 2 ( X M , N ) - J 0 2 ( X M , N + 1 ) - J 1 2 ( X M , N + 1 ) ] is of diameter DMThe light energy of the nth detection ring of the detector,for a fixed constant, M is the type of particles of different diameter, I0Is the intensity of incident light, J0(XM,N) Is a zero order Bessel function, J1(XM,N) Is a first order Bessel function.
5. The method of claim 1, wherein the PM2.5 concentration value is calculated by the following formula,
wherein, betaDensity of airAt 20 deg.C under normal atmospheric pressureThe value is 1.205kg/m3And alpha is the particle size distribution with a diameter of less than 2.5 μm.
6. The method according to claim 1, wherein the step of establishing a regularized neural network model by using the light intensity digital signal as an input quantity and outputting a value of the concentration of PM2.5 comprises:
initializing neural network parameters;
and training the weight of the neural network model by adopting a least mean square algorithm, and adjusting the weight.
7. The method according to claim 6, wherein the initializing neural network parameters are specifically:
selecting the number of hidden layer nodes of the neural network model to be equal to the number of training samples, selecting a Gaussian function as an excitation function, selecting the center of the excitation function as a sample data center, and initializing the weight and excitation function expansion constant of the neural network.
8. A PM2.5 concentration detection device based on a neural network is characterized by comprising:
the laser detection system establishing unit is used for establishing a laser detection system based on the Fraunhofer diffraction principle;
the functional relationship verification unit is used for verifying that the light intensity digital signal and the PM2.5 concentration value have a corresponding functional relationship based on the Fraunhofer diffraction principle according to the light intensity digital signal acquired by the laser detection system;
and the neural network model calculation unit is used for establishing a regularization neural network model by taking the light intensity digital signal as an input quantity and outputting a PM2.5 concentration value.
9. The apparatus of claim 8, wherein the neural network model computation unit comprises:
the parameter initialization module is used for initializing neural network parameters;
and the weight training module is used for training the weight of the neural network model by adopting a least mean square algorithm and adjusting the size of the weight.
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