CN115557600A - A biochemical reaction artificial neural network intelligent aeration device and its control method - Google Patents
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- 238000005273 aeration Methods 0.000 title claims abstract description 46
- 238000000034 method Methods 0.000 title claims abstract description 31
- 238000005842 biochemical reaction Methods 0.000 title claims abstract description 30
- 238000013528 artificial neural network Methods 0.000 title claims abstract description 18
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- 238000004364 calculation method Methods 0.000 claims abstract description 3
- 210000002569 neuron Anatomy 0.000 claims description 36
- 239000010865 sewage Substances 0.000 claims description 17
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- 238000005276 aerator Methods 0.000 claims description 15
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- 239000012528 membrane Substances 0.000 claims description 9
- 238000000926 separation method Methods 0.000 claims description 9
- QVGXLLKOCUKJST-UHFFFAOYSA-N atomic oxygen Chemical compound [O] QVGXLLKOCUKJST-UHFFFAOYSA-N 0.000 claims description 6
- 239000006185 dispersion Substances 0.000 claims description 6
- 239000001301 oxygen Substances 0.000 claims description 6
- 229910052760 oxygen Inorganic materials 0.000 claims description 6
- JEGUKCSWCFPDGT-UHFFFAOYSA-N h2o hydrate Chemical compound O.O JEGUKCSWCFPDGT-UHFFFAOYSA-N 0.000 claims description 2
- XKMRRTOUMJRJIA-UHFFFAOYSA-N ammonia nh3 Chemical compound N.N XKMRRTOUMJRJIA-UHFFFAOYSA-N 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
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- 239000005416 organic matter Substances 0.000 description 2
- 230000002411 adverse Effects 0.000 description 1
- 241001148470 aerobic bacillus Species 0.000 description 1
- 230000032683 aging Effects 0.000 description 1
- 230000003851 biochemical process Effects 0.000 description 1
- 230000015556 catabolic process Effects 0.000 description 1
- 238000006243 chemical reaction Methods 0.000 description 1
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Abstract
本发明公开了一种生化反应的人工神经网络智能曝气装置及其控制方法,本发明通过将神经网络模型部署在控制器内,通过神经网络模型根据进水水质监测组件和出水水质监测组件采集的数据去调整网络参数,从而使得本发明能根据水质、水量和外部环境优化计算过程,精确控制曝气量。
The invention discloses a biochemical reaction artificial neural network intelligent aeration device and a control method thereof. The invention deploys a neural network model in a controller, and uses the neural network model to collect data according to the influent water quality monitoring component and the effluent water quality monitoring component. The data can be used to adjust the network parameters, so that the present invention can optimize the calculation process according to the water quality, water quantity and external environment, and accurately control the aeration amount.
Description
技术领域technical field
本发明涉及污水处理技术领域,具体涉及一种生化反应的人工神经网络智能曝气装置及其控制方法。The invention relates to the technical field of sewage treatment, in particular to an artificial neural network intelligent aeration device for biochemical reactions and a control method thereof.
背景技术Background technique
SBR水处理工艺即序批式活性污泥法,又称间歇式活性污泥法污水处理工艺。SBR工艺基于以悬浮生长的微生物在好氧-缺氧-厌氧条件下对污水中的有机物、氨氮等污染物进行降解的废水生物处理活性污泥法的工艺。为了提供好氧条件,SBR生化反应池内需要进行曝气,往往以曝气机形式提供;在缺氧-厌氧阶段,停止曝气。The SBR water treatment process is the sequence batch activated sludge method, also known as the intermittent activated sludge method sewage treatment process. The SBR process is based on the process of activated sludge biological treatment of wastewater that degrades organic matter, ammonia nitrogen and other pollutants in sewage with suspended microorganisms under aerobic-anoxic-anaerobic conditions. In order to provide aerobic conditions, aeration is required in the SBR biochemical reaction tank, which is often provided in the form of an aerator; in the anoxic-anaerobic stage, the aeration is stopped.
曝气量直接决定了好氧微生物的生长活动,对有机物降解作用、硝化作用等生化反应阶段起重要作用;若曝气量不足,则导致水中溶解氧不足,好氧菌无法正常生存,从而使污泥活性受到抑制,硝化不足,出水化学需氧量和氨氮超标,影响出水水质;若曝气量过量,即曝气量已经超过活性污泥处理污水实际所需要的氧量,则导致活性污泥发生自身氧化,引起污泥老化解絮和污泥膨胀等不良后果,过度曝气不但对工艺有负面影响,还会增加不必要的能耗。The amount of aeration directly determines the growth activities of aerobic microorganisms, and plays an important role in the biochemical reaction stages such as organic matter degradation and nitrification; if the amount of aeration is insufficient, it will lead to insufficient dissolved oxygen in the water, and aerobic bacteria cannot survive normally, so that Sludge activity is inhibited, nitrification is insufficient, and the chemical oxygen demand and ammonia nitrogen of the effluent exceed the standard, which affects the water quality of the effluent; if the aeration is excessive, that is, the aeration has exceeded the actual oxygen required by the activated sludge to treat sewage, resulting in activated sewage. Sludge self-oxidation will cause adverse consequences such as sludge aging, deflocculation and sludge bulking. Excessive aeration not only has a negative impact on the process, but also increases unnecessary energy consumption.
现有曝气技术无法根据水质、水量和外部环境进行调整和优化,使得曝气量不精确。The existing aeration technology cannot be adjusted and optimized according to the water quality, water quantity and external environment, making the aeration volume inaccurate.
发明内容Contents of the invention
针对现有技术中的上述不足,本发明提供的一种生化反应的人工神经网络智能曝气装置及其控制方法解决了现有曝气技术无法根据水质、水量和外部环境进行调整和优化,使得曝气量不精确的问题。Aiming at the above-mentioned deficiencies in the prior art, the invention provides a biochemical reaction artificial neural network intelligent aeration device and its control method to solve the problem that the existing aeration technology cannot be adjusted and optimized according to the water quality, water quantity and external environment, so that The problem of inaccurate aeration volume.
为了达到上述发明目的,本发明采用的技术方案为:一种生化反应的人工神经网络智能曝气装置,包括:控制器、曝气机、调节池、SBR生化池、MBR膜分离池、出水池、进水水质监测组件和出水水质监测组件;In order to achieve the purpose of the above invention, the technical solution adopted in the present invention is: an artificial neural network intelligent aeration device for biochemical reactions, including: a controller, an aerator, a regulating tank, an SBR biochemical tank, an MBR membrane separation tank, and a water outlet tank , Influent water quality monitoring components and effluent water quality monitoring components;
所述调节池中设置提升泵,用于将汇入调节池的污水抽入SBR生化池;所述SBR生化池用于对污水进行生化反应,并将进行生化反应后的污水汇入MBR膜分离池;所述MBR膜分离池用于对进行生化反应后的污水进行泥水分离,得到过滤后的水;所述出水池用于盛装过滤后的水;所述进水水质监测组件插入调节池,用于采集进水数据,并发送至控制器;所述出水水质监测组件插入SBR生化池,用于采集曝气过程的水质数据,并发送至控制器;所述控制器用于根据进水数据和水质数据,对曝气机的曝气量进行控制;所述曝气机用于对SBR生化池输入氧气。A lifting pump is set in the regulating tank to pump the sewage into the regulating tank into the SBR biochemical pool; the SBR biochemical pool is used for biochemical reaction of the sewage, and the sewage after the biochemical reaction is poured into the MBR membrane for separation pool; the MBR membrane separation pool is used to separate the sludge from the sewage after the biochemical reaction to obtain filtered water; the outlet pool is used to hold the filtered water; the influent water quality monitoring component is inserted into the adjustment pool, Used to collect influent data and send it to the controller; the effluent water quality monitoring component is inserted into the SBR biochemical tank to collect water quality data during the aeration process and send it to the controller; the controller is used to collect the water quality data according to the influent data and Water quality data, to control the aeration rate of the aerator; the aerator is used to input oxygen to the SBR biochemical tank.
进一步地,所述进水水质监测组件包括:流量计、COD检测仪、TP检测仪、TN检测仪、DO检测仪、温度检测仪和pH检测仪;所述出水水质监测组件包括:COD检测仪、TP检测仪、TN检测仪、DO检测仪、污泥浓度检测仪、pH检测仪和ORP检测仪。Further, the influent water quality monitoring component includes: flowmeter, COD detector, TP detector, TN detector, DO detector, temperature detector and pH detector; the effluent water quality monitoring component includes: COD detector , TP detector, TN detector, DO detector, sludge concentration detector, pH detector and ORP detector.
一种生化反应的人工神经网络智能曝气装置的控制方法,包括以下步骤:A method for controlling an artificial neural network intelligent aeration device for biochemical reactions, comprising the following steps:
S1、根据进水水质监测组件和出水水质监测组件采集的数据,对神经网络模型进行训练,得到初步训练的神经网络模型;S1. According to the data collected by the influent water quality monitoring component and the effluent water quality monitoring component, the neural network model is trained to obtain a preliminary trained neural network model;
S2、将初步训练的神经网络模型部署在控制器内;S2. Deploy the initially trained neural network model in the controller;
S3、实时采集进水水质监测组件和出水水质监测组件的数据,并输入控制器内,调整初步训练的神经网络模型的网络参数;S3, collect the data of the influent water quality monitoring component and the effluent water quality monitoring component in real time, and input it into the controller, and adjust the network parameters of the neural network model of preliminary training;
S4、根据调整后的神经网络模型,计算得到曝气机的曝气量。S4. Calculate the aeration volume of the aerator according to the adjusted neural network model.
进一步地,所述步骤S1中神经网络模型包括:输入层、隐含层和输出层;Further, the neural network model in the step S1 includes: an input layer, a hidden layer and an output layer;
输入层与输出层的关系为:The relationship between the input layer and the output layer is:
其中,Y为输出层的输出,Xk为输入层的第k个输入量,K为输入量的数量,为第k个输入量对应的实际输出,Cjk为第j个隐藏层神经元第k个输入量对应的径向基中心,σj为第j个隐藏层神经元的径向基宽度;Djk为第j个隐藏层神经元第k个输入量的权重,L为隐藏层神经元的数量,wj为第j个隐藏层神经元的权重,N为隐藏层神经元的数量。Among them, Y is the output of the output layer, X k is the kth input of the input layer, K is the number of inputs, is the actual output corresponding to the kth input quantity, C jk is the radial basis center corresponding to the kth input quantity of the jth hidden layer neuron, σ j is the radial basis width of the jth hidden layer neuron; D jk is the weight of the kth input of the jth hidden layer neuron, L is the number of hidden layer neurons, wj is the weight of the jth hidden layer neuron, and N is the number of hidden layer neurons.
进一步地,所述获取径向基中心包括以下步骤:Further, said obtaining the radial basis center includes the following steps:
A1、计算所有输入量之间的距离,得到样本距离集合;A1. Calculate the distance between all input quantities to obtain a set of sample distances;
A2、从样本距离集合选取多个不同的样本距离作为初始中心;A2. Select a plurality of different sample distances from the sample distance set as the initial center;
A3、计算多个输入量到每个初始中心的距离;A3. Calculate the distance from multiple input quantities to each initial center;
A4、判断是否存在距离小于距离阈值,若是,则将输入量加入对应的初始中心,得到多个相似集合,若否,则将该距离作为新的初始中心,并跳转至步骤A3,直到所有输入量均分配到相似集合;A4. Determine whether there is a distance smaller than the distance threshold. If yes, add the input amount to the corresponding initial center to obtain multiple similar sets. If not, use the distance as the new initial center, and jump to step A3 until all Input quantities are distributed to similar sets;
A5、根据相似集合中所有输入量,得到径向基中心。A5. Obtain the radial basis center according to all input quantities in the similarity set.
上述进一步方案的有益效果为:先从样本距离集合选取多个不同的样本距离作为初始中心,可得到多个初始中心,找到距离初始中心近的输入量,从而将其归入一个相似集合内,在相似集合内的输入量,距离均低于距离阈值,在存在输入量均距离现有初始中心较远时,即不满足距离阈值时,则将该距离作为新的初始中心,从而使得每个输入量均能分入各自的相似集合中,自适应的找到径向基中心。The beneficial effect of the above further scheme is: first select a plurality of different sample distances from the sample distance set as the initial center, obtain multiple initial centers, find the input quantity close to the initial center, and classify it into a similar set, The distances of the input quantities in the similar set are all lower than the distance threshold. When there is an input quantity that is far away from the existing initial center, that is, when the distance threshold is not met, the distance is used as the new initial center, so that each The input quantities can be divided into respective similar sets, and the radial basis center is found adaptively.
进一步地,所述步骤A5中径向基中心的计算公式为:Further, the formula for calculating the radial basis center in the step A5 is:
其中,Cjk为一个相似集合中第j个隐藏层神经元第k个输入量对应的径向基中心,P为相似集合中输入量的数量,Xk为输入层的第k个输入量。Among them, C jk is the radial basis center corresponding to the k-th input of the j-th hidden layer neuron in a similar set, P is the number of inputs in the similar set, and X k is the k-th input of the input layer.
进一步地,所述第j个隐藏层神经元的权重更新公式为:Further, the weight update formula of the jth hidden layer neuron is:
wj i+1=wj i-△wj i w j i+1 =w j i -△w j i
其中,wj i+1为第i+1次迭代的第j个隐藏层神经元的权重,wj i为第i次迭代的第j个隐藏层神经元的权重,△wj i为第i次迭代的第j个隐藏层神经元的权重变化量。Among them, w j i+1 is the weight of the jth hidden layer neuron in the i+1th iteration, w j i is the weight of the jth hidden layer neuron in the ith iteration, and △w j i is the weight of the jth hidden layer neuron in the ith iteration. The weight variation of the jth hidden layer neuron in the i iteration.
进一步地,所述权重变化量△wj i的公式为:Further, the formula of the weight variation Δw j i is:
其中,η为移动步长,为第i-1次迭代的梯度均值估计量,θi-1为第i-1次迭代的梯度统计离散度估计量,λi-1为第i-1次迭代的衰减因子,λi-2为第i-2次迭代的衰减因子,为第i-2次迭代的梯度均值估计量,θi-2为第i-2次迭代的梯度统计离散度估计量,Yi为第i次迭代的输出层的输出,ε为常数。Wherein, n is the moving step size, is the gradient mean estimator of the i-1th iteration, θi -1 is the gradient statistical dispersion estimator of the i-1th iteration, λi -1 is the attenuation factor of the i-1th iteration, λi- 2 is the attenuation factor of the i-2th iteration, is the gradient mean estimator of the i-2 iteration, θ i-2 is the gradient statistical dispersion estimator of the i-2 iteration, Y i is the output of the output layer of the i-th iteration, and ε is a constant.
综上,本发明的有益效果为:本发明通过将神经网络模型部署在控制器内,通过神经网络模型根据进水水质监测组件和出水水质监测组件采集的数据去调整网络参数,从而使得本发明能根据水质、水量和外部环境优化计算过程,精确控制曝气量。In summary, the beneficial effects of the present invention are: the present invention deploys the neural network model in the controller, and adjusts the network parameters according to the data collected by the influent water quality monitoring component and the effluent water quality monitoring component through the neural network model, so that the present invention It can optimize the calculation process according to water quality, water quantity and external environment, and precisely control the aeration amount.
附图说明Description of drawings
图1为一种生化反应的人工神经网络智能曝气装置的示意图;Fig. 1 is the schematic diagram of the artificial neural network intelligent aeration device of a kind of biochemical reaction;
图2为一种生化反应的人工神经网络智能曝气装置的控制方法的流程图。Fig. 2 is a flowchart of a control method of an artificial neural network intelligent aeration device for biochemical reactions.
具体实施方式detailed description
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 embodiments of the present invention are described below so that those skilled in the art can understand the present invention, but it should be clear that the present invention is not limited to the scope of the specific embodiments. For those of ordinary skill in the art, as long as various changes Within the spirit and scope of the present invention defined and determined by the appended claims, these changes are obvious, and all inventions and creations using the concept of the present invention are included in the protection list.
如图1所示,一种生化反应的人工神经网络智能曝气装置,包括:控制器、曝气机、调节池、SBR生化池、MBR膜分离池、出水池、进水水质监测组件和出水水质监测组件;As shown in Figure 1, an artificial neural network intelligent aeration device for biochemical reactions includes: a controller, an aerator, a regulating tank, an SBR biochemical tank, an MBR membrane separation tank, an outlet tank, an inlet water quality monitoring component, and an outlet water Water quality monitoring components;
所述调节池中设置提升泵,用于将汇入调节池的污水抽入SBR生化池;所述SBR生化池用于对污水进行生化反应,并将进行生化反应后的污水汇入MBR膜分离池;所述MBR膜分离池用于对进行生化反应后的污水进行泥水分离,得到过滤后的水;所述出水池用于盛装过滤后的水;所述进水水质监测组件插入调节池,用于采集进水数据,并发送至控制器;所述出水水质监测组件插入SBR生化池,用于采集曝气过程的水质数据,并发送至控制器;所述控制器用于根据进水数据和水质数据,对曝气机的曝气量进行控制;所述曝气机用于对SBR生化池输入氧气。A lifting pump is set in the regulating tank to pump the sewage into the regulating tank into the SBR biochemical pool; the SBR biochemical pool is used for biochemical reaction of the sewage, and the sewage after the biochemical reaction is poured into the MBR membrane for separation pool; the MBR membrane separation pool is used to separate the sludge from the sewage after the biochemical reaction to obtain filtered water; the outlet pool is used to hold the filtered water; the influent water quality monitoring component is inserted into the adjustment pool, Used to collect influent data and send it to the controller; the effluent water quality monitoring component is inserted into the SBR biochemical tank to collect water quality data during the aeration process and send it to the controller; the controller is used to collect the water quality data according to the influent data and Water quality data, to control the aeration rate of the aerator; the aerator is used to input oxygen to the SBR biochemical tank.
所述进水水质监测组件包括:流量计、COD检测仪、TP检测仪、TN检测仪、DO检测仪、温度检测仪、pH检测仪和污泥浓度检测仪;所述出水水质监测组件包括:COD检测仪、TP检测仪、TN检测仪、DO检测仪、污泥浓度检测仪、pH检测仪和ORP检测仪。The influent water quality monitoring component includes: a flow meter, a COD detector, a TP detector, a TN detector, a DO detector, a temperature detector, a pH detector and a sludge concentration detector; the outlet water quality monitoring component includes: COD detector, TP detector, TN detector, DO detector, sludge concentration detector, pH detector and ORP detector.
如图2所示,一种生化反应的人工神经网络智能曝气装置的控制方法,包括以下步骤:As shown in Figure 2, a control method of an artificial neural network intelligent aeration device for a biochemical reaction comprises the following steps:
S1、根据进水水质监测组件和出水水质监测组件采集的数据,对神经网络模型进行训练,得到初步训练的神经网络模型;S1. According to the data collected by the influent water quality monitoring component and the effluent water quality monitoring component, the neural network model is trained to obtain a preliminary trained neural network model;
S2、将初步训练的神经网络模型部署在控制器内;S2. Deploy the initially trained neural network model in the controller;
S3、实时采集进水水质监测组件和出水水质监测组件的数据,并输入控制器内,调整初步训练的神经网络模型的网络参数;S3, collect the data of the influent water quality monitoring component and the effluent water quality monitoring component in real time, and input it into the controller, and adjust the network parameters of the neural network model of preliminary training;
S4、根据调整后的神经网络模型,计算得到曝气机的曝气量。S4. Calculate the aeration volume of the aerator according to the adjusted neural network model.
通过生化反应前后采集的数据,通过机器学习获得下一运行周期的参考曝气量,随着系统的运行时间增加,储存的曝气量工艺数据增加,给予后续可参照的曝气量数据越多,曝气量也就越来越精准,出水水质也越稳定,达到智能、高效和节能的目的。Through the data collected before and after the biochemical reaction, the reference aeration volume for the next operation cycle is obtained through machine learning. As the operating time of the system increases, the stored aeration volume process data increases, and the more aeration volume data that can be referenced in the future , the aeration volume will become more and more accurate, and the effluent water quality will be more stable, achieving the goals of intelligence, high efficiency and energy saving.
在步骤S1中,先通过进水水质监测组件采集的数据和出水水质监测组件采集的数据,初步找到经过曝气机曝气后进水和出水的数据对应关系,得到初步训练的神经网络模型,将初步训练的神经网络模型运用于生化池的生化过程中,在实际运行过程中,通过曝气后出水的数据,去再次不断微调神经网络模型的网络参数,相当于在实际运行过程中,一直在训练神经网络模型,使得网络参数变化,适应外部环境。In step S1, through the data collected by the influent water quality monitoring component and the data collected by the effluent water quality monitoring component, the corresponding relationship between the influent and effluent data after aeration by the aerator is initially found, and the neural network model for preliminary training is obtained. Apply the initially trained neural network model to the biochemical process of the biochemical pool. In the actual operation process, the network parameters of the neural network model are continuously fine-tuned again through the data of the water after aeration, which is equivalent to the actual operation process. In training the neural network model, the network parameters are changed to adapt to the external environment.
进水水质监测组件采集的数据是神经网络模型的输入数据,而出水水质监测组件采集的数据经过曝气机后的实际数据,根据输入数据和实际数据,可以对神经网络模型的网络参数进行调节。The data collected by the influent water quality monitoring component is the input data of the neural network model, and the data collected by the effluent water quality monitoring component is the actual data after passing through the aerator. According to the input data and actual data, the network parameters of the neural network model can be adjusted. .
所述步骤S1中神经网络模型包括:输入层、隐含层和输出层;The neural network model in the step S1 includes: an input layer, a hidden layer and an output layer;
输入层与输出层的关系为:The relationship between the input layer and the output layer is:
其中,Y为输出层的输出,Xk为输入层的第k个输入量,K为输入量的数量,为第k个输入量对应的实际输出,Cjk为第j个隐藏层神经元第k个输入量对应的径向基中心,σj为第j个隐藏层神经元的径向基宽度;Djk为第j个隐藏层神经元第k个输入量的权重,L为隐藏层神经元的数量,wj为第j个隐藏层神经元的权重,N为隐藏层神经元的数量。Among them, Y is the output of the output layer, X k is the kth input of the input layer, K is the number of inputs, is the actual output corresponding to the kth input quantity, C jk is the radial basis center corresponding to the kth input quantity of the jth hidden layer neuron, σ j is the radial basis width of the jth hidden layer neuron; D jk is the weight of the kth input of the jth hidden layer neuron, L is the number of hidden layer neurons, wj is the weight of the jth hidden layer neuron, and N is the number of hidden layer neurons.
输入层的第k个输入量Xk的数据来源于进水水质监测组件采集的数据,第k个输入量对应的实际输出来源于出水水质监测组件采集的数据。The data of the kth input quantity X k of the input layer comes from the data collected by the influent water quality monitoring component, and the actual output corresponding to the kth input quantity comes from the data collected by the effluent water quality monitoring component.
所述获取径向基中心包括以下步骤:The acquisition of the radial basis center includes the following steps:
A1、计算所有输入量之间的距离,得到样本距离集合;A1. Calculate the distance between all input quantities to obtain a set of sample distances;
A2、从样本距离集合选取多个不同的样本距离作为初始中心;A2. Select a plurality of different sample distances from the sample distance set as the initial center;
A3、计算多个输入量到每个初始中心的距离;A3. Calculate the distance from multiple input quantities to each initial center;
A4、判断是否存在距离小于距离阈值,若是,则将输入量加入对应的初始中心,得到多个相似集合,若否,则将该距离作为新的初始中心,并跳转至步骤A3,直到所有输入量均分配到相似集合;A4. Determine whether there is a distance smaller than the distance threshold. If yes, add the input amount to the corresponding initial center to obtain multiple similar sets. If not, use the distance as the new initial center, and jump to step A3 until all Input quantities are distributed to similar sets;
A5、根据相似集合中所有输入量,得到径向基中心。A5. Obtain the radial basis center according to all input quantities in the similarity set.
在本实施例中,输入量的类型包括:反应水温、污泥浓度、进水流量、调节池PH值、COD值、NH3-N值、ORP值和TP值。In this embodiment, the types of input quantities include: reaction water temperature, sludge concentration, influent flow rate, pH value of the regulating tank, COD value, NH3-N value, ORP value and TP value.
所述步骤A5中径向基中心的计算公式为:The formula for calculating the radial basis center in the step A5 is:
其中,Cjk为一个相似集合中第j个隐藏层神经元第k个输入量对应的径向基中心,P为相似集合中输入量的数量,Xk为输入层的第k个输入量。Among them, C jk is the radial basis center corresponding to the k-th input of the j-th hidden layer neuron in a similar set, P is the number of inputs in the similar set, and X k is the k-th input of the input layer.
所述第j个隐藏层神经元的权重更新公式为:The weight update formula of the jth hidden layer neuron is:
wj i+1=wj i-Δwj i w j i+1 =w j i -Δw j i
其中,wj i+1为第i+1次迭代的第j个隐藏层神经元的权重,wj i为第i次迭代的第j个隐藏层神经元的权重,Δwj i为第i次迭代的第j个隐藏层神经元的权重变化量。Among them, w j i+1 is the weight of the jth hidden layer neuron in the i+1th iteration, w j i is the weight of the jth hidden layer neuron in the ith iteration, Δw j i is the i The weight variation of the jth hidden layer neuron in the iteration.
所述权重变化量Δwj i的公式为:The formula of the weight variation Δw j i is:
其中,η为移动步长,为第i-1次迭代的梯度均值估计量,θi-1为第i-1次迭代的梯度统计离散度估计量,λi-1为第i-1次迭代的衰减因子,λi-2为第i-2次迭代的衰减因子,为第i-2次迭代的梯度均值估计量,θi-2为第i-2次迭代的梯度统计离散度估计量,Yi为第i次迭代的输出层的输出,ε为常数。Wherein, n is the moving step size, is the gradient mean estimator of the i-1th iteration, θi -1 is the gradient statistical dispersion estimator of the i-1th iteration, λi -1 is the attenuation factor of the i-1th iteration, λi- 2 is the attenuation factor of the i-2th iteration, is the gradient mean estimator of the i-2 iteration, θ i-2 is the gradient statistical dispersion estimator of the i-2 iteration, Y i is the output of the output layer of the i-th iteration, and ε is a constant.
在本实施例中,输入层与输出层的关系公式、获取径向基中心的过程、径向基中心的公式、隐藏层神经元的权重更新公式和权重变化量的公式适用于本发明的神经网络模型的所有训练过程。In this embodiment, the relationship formula between the input layer and the output layer, the process of obtaining the radial basis center, the formula of the radial basis center, the weight update formula of the neuron in the hidden layer and the formula of the weight variation are applicable to the neuron of the present invention. All training processes of the network model.
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