CN116644663A - A Transformer Hotspot Temperature Inversion Prediction Method Based on Oil Temperature at Characteristic Measurement Points - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及油浸式变压器热点温度监测技术领域,特别是一种基于特征测点油温的变压器热点温度反演预测方法。The invention relates to the technical field of hot spot temperature monitoring of oil-immersed transformers, in particular to a transformer hot spot temperature inversion prediction method based on oil temperature at characteristic measuring points.
背景技术Background technique
变压器是电网和发电机组之间的重要连接,其安全稳定运行对保障整个系统的长期安全至关重要。根据国内外相关统计分析,变压器绝缘老化或损坏是引起变压器事故的一个重要原因,并且绕组是变压器故障的主要部位之一。绕组绝缘和变压器温升密切相关,而随着大型高压油浸变压器的投运,其温升问题更加突出。变压器的热点温度若超过阈值则容易引起变压器事故,直接影响变电站的安全性;热点温度若太低则说明变压器容量没有利用充分,有待提高变电站的经济性。因此,监测大型油浸式变压器热点温度有利于减少变压器故障率、延长变压器使用寿命,并保证变压器的经济效益。The transformer is an important connection between the power grid and the generator set, and its safe and stable operation is crucial to ensure the long-term safety of the entire system. According to relevant statistical analysis at home and abroad, the aging or damage of transformer insulation is an important cause of transformer accidents, and winding is one of the main parts of transformer failure. Winding insulation is closely related to transformer temperature rise, and with the commissioning of large-scale high-voltage oil-immersed transformers, the problem of temperature rise becomes more prominent. If the hot spot temperature of the transformer exceeds the threshold, it will easily cause transformer accidents and directly affect the safety of the substation; if the hot spot temperature is too low, it means that the transformer capacity is not fully utilized, and the economy of the substation needs to be improved. Therefore, monitoring the hot spot temperature of large oil-immersed transformers is conducive to reducing the failure rate of transformers, prolonging the service life of transformers, and ensuring the economic benefits of transformers.
目前,对于大型油浸式变压器,布置分布式光纤温度传感器来直接批量监测其热点温度的难度大、运维成本高,所以工程现场对于大型油浸式变压器,通常使用间接方法对热点温度进行估算预测,现阶段最常使用的方法是根据国家标准GB/T 1094.7(对应于IEC60076-7)中的经验模型,由顶层油温的监测值间接估算热点温度。但该经验模型忽略了变压器油的一些非线性特征,也无法体现变压器运行状态改变对热点温度的影响。而随着人工智能技术在电力系统中的广泛应用,利用变压器监控系统中除热点温度之外容易获取的运行历史数据,使用智能算法实现对热点温度的连续预测,有利于变压器运行状况的实时监测和运行模式的及时调整。但现有文献建立的热点温度预测模型,大多样本数据是热点温度试验测量数据,样本的获取受试验条件和变压器实际运行状态的限制;此外,部分文献的热点温度预测模型仅能根据同一时刻变压器其他状态的实测数据计算当前时刻的热点温度,而并不能反映热点温度在时域上的变化情况。At present, for large-scale oil-immersed transformers, it is difficult to arrange distributed optical fiber temperature sensors to directly monitor the hot-spot temperature in batches, and the operation and maintenance costs are high. Therefore, for large-scale oil-immersed transformers, the engineering site usually uses indirect methods to estimate the hot-spot temperature Forecasting, the most commonly used method at this stage is to indirectly estimate the hot spot temperature from the monitoring value of the top oil temperature according to the empirical model in the national standard GB/T 1094.7 (corresponding to IEC60076-7). However, this empirical model ignores some nonlinear characteristics of transformer oil, and cannot reflect the influence of transformer operating state changes on hot spot temperature. With the wide application of artificial intelligence technology in the power system, using the historical operation data that is easy to obtain in the transformer monitoring system except for the hot spot temperature, the intelligent algorithm is used to realize the continuous prediction of the hot spot temperature, which is conducive to the real-time monitoring of the transformer operating status And the timely adjustment of the operating mode. However, most of the hotspot temperature prediction models established in the existing literature are the hotspot temperature test measurement data, and the acquisition of samples is limited by the test conditions and the actual operation status of the transformer; in addition, the hotspot temperature prediction model in some literatures can only The measured data of other states calculates the hotspot temperature at the current moment, but does not reflect the change of the hotspot temperature in the time domain.
发明内容Contents of the invention
为了解决上述技术问题,本发明提出一种基于特征测点油温的变压器热点温度反演预测方法,结合有限元仿真和人工智能算法,以变压器多状态量监测数据和热点温度仿真数据构建分析样本,可实现热点温度快捷的连续预测,对于大型油浸式变压器的运维管理具有一定参考价值。In order to solve the above technical problems, the present invention proposes a transformer hotspot temperature inversion prediction method based on the oil temperature of characteristic measuring points, combined with finite element simulation and artificial intelligence algorithm, and constructs an analysis sample with transformer multi-state monitoring data and hotspot temperature simulation data , can realize rapid and continuous prediction of hot spot temperature, and has certain reference value for the operation and maintenance management of large oil-immersed transformers.
第一方面,本发明提供了一种基于特征测点油温的变压器热点温度反演预测方法,包括:In the first aspect, the present invention provides a transformer hotspot temperature inversion prediction method based on oil temperature at characteristic measuring points, including:
步骤A、根据油浸式变压器特征测点油温及其他相关状态量的数天监测信息,构建特征测点油温预测模型的多元时间序列样本数据;Step A, according to several days of monitoring information of the oil temperature at the characteristic measuring point of the oil-immersed transformer and other relevant state quantities, construct the multivariate time series sample data of the oil temperature prediction model at the characteristic measuring point;
步骤B、对步骤A所述多元时间序列样本数据进行归一化处理,并计算其相关系数矩阵,提取特征测点油温的特征向量;Step B, performing normalization processing on the multivariate time series sample data described in step A, and calculating its correlation coefficient matrix, and extracting the feature vector of the oil temperature at the feature measuring point;
步骤C、以步骤B所述特征向量作为多维输入,以特征测点油温作为多维输出,建立多元时间序列预测模型,并在步骤A所述样本数据上验证其有效性和准确性,从而可对特征测点油温进行单步预测(实时滚动预测)或多步预测(短期预测);Step C, using the feature vector described in step B as the multidimensional input, and using the oil temperature of the characteristic measuring point as the multidimensional output, to establish a multivariate time series prediction model, and verify its validity and accuracy on the sample data described in step A, so that Single-step forecast (real-time rolling forecast) or multi-step forecast (short-term forecast) for oil temperature at characteristic measuring points;
步骤D、对变压器温度场分布进行仿真计算,提取不同工况下的热点温度和特征测点油温构建热点温度的反演样本;Step D. Carry out simulation calculation on the temperature field distribution of the transformer, extract the hot spot temperature and the oil temperature of the characteristic measuring point under different working conditions to construct the inversion sample of the hot spot temperature;
步骤E、建立热点温度与特征测点油温的关系模型,在步骤D所述反演样本上验证其有效性和准确性,从而可实现对热点温度未来值的反演预测。Step E: Establish a relationship model between the hot spot temperature and the oil temperature at the characteristic measuring point, and verify its validity and accuracy on the inversion sample described in step D, so as to realize the inversion prediction of the future value of the hot spot temperature.
作为本发明的一种优选技术方案:所述步骤A中,基于油浸式变压器热点温度反演原理选择多个易于获取监测数据的变压器油温测点作为特征测点,如顶层油温、出油口温度、进油口温度等,结合其他相关状态量的监测信息,如电压、电流、有功功率、无功功率、冷却器温度等,构建如下式所示的多元时间序列样本数据:As a preferred technical solution of the present invention: in the step A, a plurality of transformer oil temperature measurement points that are easy to obtain monitoring data are selected as characteristic measurement points based on the hot spot temperature inversion principle of the oil-immersed transformer, such as the top layer oil temperature, outlet Oil port temperature, oil inlet temperature, etc., combined with monitoring information of other related state variables, such as voltage, current, active power, reactive power, cooler temperature, etc., construct multivariate time series sample data as shown in the following formula:
式中,为第j组数据的第i维状态量,m为包括特征测点油温的所有状态量的总维数,n为时间序列总长度,即样本数据的总组数。In the formula, is the i-th dimension state quantity of the j-th group of data, m is the total dimension of all state quantities including the oil temperature of the characteristic measuring point, and n is the total length of the time series, that is, the total number of groups of sample data.
作为本发明的一种优选技术方案:所述步骤B中,综合考虑序列的线性相关性和非线性相关性,按如下公式计算Pearson-Spearman混合相关系数矩阵:As a kind of preferred technical scheme of the present invention: in described step B, comprehensively consider the linear correlation and the nonlinear correlation of sequence, calculate Pearson-Spearman mixed correlation coefficient matrix by following formula:
式中,分别表示n组数据第p、q维状态量的平均值;将p、q两维状态量数据xp、xq分别按降序排列形成新的列向量x′p、x′q,/>和/>在x′p、x′q中的位置分别记为值在[-1,1]之间,/>表示完全负相关,/>表示完全不相关,/>表示完全正相关。In the formula, Represent the average value of the p and q-dimensional state quantities of n groups of data; arrange the p and q two-dimensional state quantity data x p , x q in descending order to form new column vectors x′ p , x′ q , /> and /> The positions in x′ p , x′ q are respectively denoted as The value is between [-1, 1], /> Indicates a complete negative correlation, /> means completely irrelevant, /> means a perfect positive correlation.
作为本发明的一种优选技术方案:所述步骤C中,多元时间序列预测模型为CNN-GRU模型,其基本结构包括CNN特征提取模块和GRU预测模块,CNN特征提取模块含有卷积层、池化层和展平层,GRU预测模块包括GRU循环单元和全连接层,具体的CNN模块中卷积层层数、卷积核个数、卷积核大小以及GRU模块中循环单元层数、循环单元个数则通过样本数据的预测效果进一步设计。As a preferred technical solution of the present invention: in the step C, the multivariate time series prediction model is a CNN-GRU model, its basic structure includes a CNN feature extraction module and a GRU prediction module, and the CNN feature extraction module contains a convolutional layer, a pool layer and flattening layer, the GRU prediction module includes the GRU recurrent unit and the fully connected layer, the number of convolutional layers in the specific CNN module, the number of convolution kernels, the size of the convolution kernel, and the number of recurrent unit layers in the GRU module, the cycle The number of units is further designed through the prediction effect of the sample data.
作为本发明的一种优选技术方案:所述步骤D中,对不同工况下的变压器温度场分布进行多物理场耦合的有限元仿真计算,从中提取多种工况下的热点温度,结合相应工况下特征测点油温的监测数据,构建热点温度的反演样本,并进行归一化处理。As a preferred technical solution of the present invention: in the step D, the finite element simulation calculation of multi-physics field coupling is performed on the temperature field distribution of the transformer under different working conditions, and the hot spot temperature under various working conditions is extracted therefrom, combined with the corresponding Based on the monitoring data of oil temperature at characteristic measuring points under working conditions, an inversion sample of hot spot temperature is constructed and normalized.
作为本发明的一种优选技术方案:所述步骤E中,热点温度与特征测点油温的关系模型为PSO-BPNN模型;所述步骤E包括如下步骤E1至步骤E7:As a preferred technical solution of the present invention: in the step E, the relationship model between the hot spot temperature and the oil temperature at the characteristic measuring point is a PSO-BPNN model; the step E includes the following steps E1 to E7:
步骤E1、确定BPNN的拓扑结构,即其输入层、隐含层和输出层单元数;Step E1, determine the topological structure of BPNN, that is, the number of units in its input layer, hidden layer and output layer;
步骤E2、确定PSO结构,以BPNN训练误差作为粒子适应度,初始化粒子群;Step E2, determine the PSO structure, use the BPNN training error as the particle fitness, and initialize the particle swarm;
步骤E3、计算每个粒子当前位置的适应度值,以此来衡量该位置的优劣程度,并将第d维中的第i个粒子在当前迭代次数下找到的具有最大适应度值的位置记作Pid,即个体历史最优解;将第d维中的所有粒子在当前迭代次数下找到的具有最大适应度值的位置记作Pgd,即群体历史最优解。Step E3, calculate the fitness value of the current position of each particle, so as to measure the pros and cons of the position, and use the position with the maximum fitness value found by the i-th particle in the d-th dimension under the current number of iterations Denoted as P id , that is, the individual historical optimal solution; the position with the maximum fitness value found by all particles in the d-th dimension under the current iteration number is denoted as P gd , that is, the group historical optimal solution.
步骤E4、根据粒子群的个体历史最优解和群体历史最优解,用如下公式更新每个粒子的速度和位置以保证粒子朝着更优解的方向移动:Step E4, according to the individual historical optimal solution and the group historical optimal solution of the particle swarm, use the following formula to update the velocity and position of each particle to ensure that the particle moves towards a better solution:
vid(k+1)=ωvid+c1r1(Pid(k)-xid(k))+c2r2(Pgd(k)-xid(k))v id (k+1)=ωv id +c 1 r 1 (P id (k)-x id (k))+c 2 r 2 (P gd (k)-x id (k))
xid(k+1)=xid(k)+vid(k+1)x id (k+1)=x id (k)+v id (k+1)
式中,k为迭代次数;xid、vid分别为d维目标求解空间中第i个粒子的位置和速度;ω为速度的惯性权重;c1为单个粒子的个体加速系数,c2为粒子群的群体加速系数;r1和r2为[0,1]范围中的随机常数;In the formula, k is the number of iterations; x id and v id are respectively the position and velocity of the i-th particle in the d-dimensional target solution space; ω is the inertia weight of the velocity; c 1 is the individual acceleration coefficient of a single particle, and c 2 is The population acceleration coefficient of the particle swarm; r 1 and r 2 are random constants in the range [0, 1];
步骤E5、重复步骤E3和步骤E4,直到达到设定的终止条件,如达到最大迭代次数、适应度满足预先设定的阈值或运行时间超过限制等,输出最后一次迭代计算出的群体历史最优解作为全局最优解,即PSO优化的BPNN权重和偏置;Step E5, repeat step E3 and step E4 until the set termination condition is reached, such as reaching the maximum number of iterations, the fitness meets the preset threshold or the running time exceeds the limit, etc., and output the group history optimal calculated in the last iteration The solution is taken as the global optimal solution, that is, the PSO-optimized BPNN weights and biases;
步骤E6、以粒子群的输出结果初始化BPNN权重和偏置,在步骤D所述的热点温度反演样本上训练并验证热点温度和特征测点油温的关系模型;Step E6, initialize the BPNN weight and bias with the output of the particle swarm, and train and verify the relationship model between the hot spot temperature and the oil temperature at the characteristic measuring point on the hot spot temperature inversion sample described in step D;
步骤E7、基于前述步骤C预测出的特征测点油温未来值,以及步骤E6所述热点温度和特征测点油温的关系模型,实现对热点温度未来值的实时或短期预测。Step E7, based on the future value of the oil temperature of the characteristic measuring point predicted in the aforementioned step C, and the relationship model between the hot spot temperature and the oil temperature of the characteristic measuring point described in step E6, realize real-time or short-term prediction of the future value of the hot spot temperature.
第二方面,本发明提供了一种计算机设备,包括存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序,所述处理器执行所述计算机程序时实现上述方法的步骤。In a second aspect, the present invention provides a computer device, including a memory, a processor, and a computer program stored in the memory and operable on the processor, and the processor implements the steps of the above method when executing the computer program.
第三方面,本发明提供了一种计算机可读存储介质,其上存储有计算机程序,所述计算机程序被处理器执行时实现上述方法的步骤。In a third aspect, the present invention provides a computer-readable storage medium, on which a computer program is stored, and when the computer program is executed by a processor, the steps of the above method are implemented.
本发明提出一种基于特征测点油温的变压器热点温度反演预测方法,与现有技术相比,本发明实施例结合有限元仿真和人工智能算法,建立数据驱动的高精度预测模型,预测建模时的样本数据不依赖热点温度测量试验,因而不受试验条件和变压器实际运行状态的限制;基于热点温度反演原理,利用变压器监控系统中容易获取的相关状态量历史数据,实现对热点温度未来值的快捷预测,对于大型油浸式变压器的运维管理具有一定参考价值。The present invention proposes a transformer hotspot temperature inversion prediction method based on the oil temperature of characteristic measuring points. The sample data during modeling does not depend on the hot spot temperature measurement test, so it is not limited by the test conditions and the actual operating state of the transformer; The quick prediction of the future value of temperature has certain reference value for the operation and maintenance management of large oil-immersed transformers.
附图说明Description of drawings
图1是本发明实施例中基于特征测点油温的变压器热点温度反演预测方法的流程示意图;Fig. 1 is a schematic flow chart of a transformer hotspot temperature inversion prediction method based on characteristic measuring point oil temperature in an embodiment of the present invention;
图2是本发明实施例中建立特征测点油温预测模型使用的CNN-GRU网络结构示意图;2 is a schematic diagram of the CNN-GRU network structure used to establish the feature measuring point oil temperature prediction model in the embodiment of the present invention;
图3是本发明实施例中建立热点温度和特征测点油温关系模型使用的BPNN结构示意图。Fig. 3 is a schematic diagram of the BPNN structure used to establish the relationship model between the hot spot temperature and the oil temperature of the characteristic measuring point in the embodiment of the present invention.
具体实施方式Detailed ways
为使本发明实施例的目的、技术方案和优点更加清楚,下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。In order to make the purpose, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments It is a part of embodiments of the present invention, but not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.
如图1所示,一种基于特征测点油温的变压器热点温度反演预测方法,包括以下步骤:As shown in Figure 1, a transformer hotspot temperature inversion prediction method based on oil temperature at characteristic measuring points includes the following steps:
步骤A、针对所述大型油浸式变压器,基于热点温度反演原理,选择易于获取监测数据顶层油温Ttop_oil、出油口温度Toil_out、进油口温度Toil_in作为变压器的特征测点油温;其他相关状态量有高压侧相电压UA、UB、UC,高压侧线电压UAB、UBC、UCA,高压侧电流IA、IB、IC,有功功率P,无功功率Q,频率f,功率因数cosφ,冷却器出水口温度Twater_out和冷却器进水口温度Twater_in;油浸式变压器特征测点油温及其他相关状态量的监测数据采样时间为3分钟,提取5天的监测数据构建如下式所示的多元时间序列样本数据:Step A. For the large-scale oil-immersed transformer, based on the hot spot temperature inversion principle, select the top oil temperature T top_oil , the oil outlet temperature T oil_out , and the oil inlet temperature T oil_in which are easy to obtain monitoring data as the characteristic measuring point oil of the transformer temperature; other relevant state quantities include high voltage side phase voltage U A , U B , U C , high voltage side line voltage U AB , U BC , U CA , high voltage side current I A , I B , I C , active power P, reactive power Power Q, frequency f, power factor cosφ, cooler water outlet temperature T water_out and cooler water inlet temperature T water_in ; oil-immersed transformer characteristic measuring point oil temperature and other related state quantity monitoring data sampling time is 3 minutes, extract The 5-day monitoring data constructs multivariate time series sample data as shown in the following formula:
式中,为第j组数据的第i维状态量,/>分别表示第j组数据中的Toil_out、Toil_in、Ttop_oil、Twater_in、Twater_out、UA、UB、UC、UAB、UBC、UCA、IA、IB、IC、P、Q、f、cosφ。In the formula, is the i-th dimension state quantity of the j-th group of data, /> respectively represent T oil_out , T oil_in , T top_oil , T water_in , T water_out , U A , U B , U C , U AB , U BC , U CA , I A , I B , I C , P, Q, f, cos φ.
步骤B、对步骤A所述多元时间序列样本数据进行归一化处理,综合考虑序列的线性相关性和非线性相关性,按如下公式计算Pearson-Spearman混合相关系数矩阵:Step B, normalize the multivariate time series sample data described in step A, comprehensively consider the linear correlation and nonlinear correlation of the sequence, and calculate the Pearson-Spearman mixed correlation coefficient matrix according to the following formula:
式中,分别表示n组数据第p、q维状态量的平均值;将p、q两维状态量数据xp、xq分别按降序排列形成新的列向量/>和/>在/>中的位置分别记为/>值在[-1,1]之间,/>表示完全负相关,/>表示完全不相关,/>表示完全正相关;In the formula, Represent the average value of the p and q-dimensional state quantities of n groups of data respectively; arrange the p and q two-dimensional state quantity data x p and x q in descending order to form a new column vector /> and /> at /> The positions in are denoted as /> The value is between [-1, 1], /> Indicates a complete negative correlation, /> means completely irrelevant, /> Indicates a complete positive correlation;
根据相关系数矩阵的计算结果,提取为特征测点油温的特征向量。According to the calculation results of the correlation coefficient matrix, extract is the eigenvector of the oil temperature at the characteristic measuring point.
步骤C、以步骤B所述特征向量作为多维输入,以特征测点油温作为多维输出,建立基于CNN-GRU多元时间序列预测模型。CNN-GRU网络基本结构包括CNN特征提取模块和GRU预测模块,CNN特征提取模块含有卷积层、池化层和展平层,GRU预测模块包括GRU循环单元和全连接层。根据实际样本的预测效果确定CNN-GRU网络的具体结构为:CNN卷积层为2层,卷积核的数量和大小分别为64、2和32、2,卷积步长均为1;GRU循环单元层数为1层,单元个数为200;激活函数均为为ReLU函数。Step C, using the feature vector described in step B as the multidimensional input, and using the oil temperature of the characteristic measuring point as the multidimensional output, to establish a multivariate time series prediction model based on CNN-GRU. The basic structure of the CNN-GRU network includes a CNN feature extraction module and a GRU prediction module. The CNN feature extraction module includes a convolutional layer, a pooling layer, and a flattening layer. The GRU prediction module includes a GRU recurrent unit and a fully connected layer. According to the prediction effect of actual samples, the specific structure of the CNN-GRU network is determined as follows: CNN convolution layer is 2 layers, the number and size of convolution kernels are 64, 2 and 32, 2, respectively, and the convolution step size is 1; GRU The number of recurrent unit layers is 1, and the number of units is 200; the activation functions are all ReLU functions.
对步骤A所述样本数据按8∶2划分训练集和测试集。单步预测模型的设置为:根据1小时的变压器历史监测信息预测出下一采样时刻的特征测点油温,即模型单次学习的输入为20组特征向量、输出为未来的1组目标向量。多步预测模型的设置为:由5小时的历史监测信息预测未来1小时的特征测点油温的CNN-GRU模型,即模型单次学习的输入为100组特征向量、输出为未来的20组目标向量。测试集上该模型的验证结果如下表所示:For the sample data described in step A, divide the training set and the test set by 8:2. The setting of the single-step prediction model is: predict the oil temperature of the characteristic measuring point at the next sampling time according to the historical monitoring information of the transformer for 1 hour, that is, the input of the single learning of the model is 20 sets of feature vectors, and the output is 1 set of target vectors in the future . The setting of the multi-step prediction model is: a CNN-GRU model that predicts the oil temperature of the characteristic measuring point in the next hour from the historical monitoring information of 5 hours, that is, the input of the single learning of the model is 100 sets of feature vectors, and the output is 20 sets in the future target vector. The verification results of the model on the test set are shown in the following table:
由表所示的验证结果可证明该CNN-GRU模型对于特征测点油温预测有效性和准确性,从而可利用该CNN-GRU模型对特征测点油温进行单步预测(实时滚动预测)或多步预测(短期预测)The verification results shown in the table can prove that the CNN-GRU model is effective and accurate in predicting the oil temperature of the characteristic measuring points, so that the CNN-GRU model can be used for single-step prediction of the oil temperature of the characteristic measuring points (real-time rolling prediction) or multi-step forecasting (short-term forecasting)
步骤D、对400组不同工况下的变压器温度场分布进行多物理场耦合的有限元仿真计算,从中提取多种工况下的热点温度,结合相应工况下特征测点油温的监测数据,构建热点温度的反演样本,对反演进行归一化处理,并按8∶2的比例划分训练集和测试集。Step D: Carry out multi-physics coupling finite element simulation calculations on the temperature field distribution of 400 groups of transformers under different working conditions, extract hot spot temperatures under various working conditions, and combine the monitoring data of oil temperature at characteristic measuring points under corresponding working conditions , construct the inversion sample of hotspot temperature, normalize the inversion, and divide the training set and test set according to the ratio of 8:2.
步骤E、建立基于PSO-BPNN的热点温度与特征测点油温的关系模型,在步骤D所述反演样本上验证其有效性和准确性,从而可实现对热点温度未来值的反演预测。具体包括如下步骤E1至步骤E7:Step E. Establish a PSO-BPNN-based relationship model between the hot spot temperature and the oil temperature at the characteristic measuring point, and verify its validity and accuracy on the inversion sample described in step D, so as to realize the inversion prediction of the future value of the hot spot temperature . Specifically, the following steps E1 to E7 are included:
步骤E1、确定BPNN的拓扑结构:以[Toil_out,Toil_in,Ttop_oil]为输入,以热点温度Thot_spot为输出,隐含层为1层、10单元;Step E1, determine the topological structure of BPNN: take [T oil_out , T oil_in , T top_oil ] as the input, take the hot spot temperature T hot_spot as the output, and the hidden layer is 1 layer and 10 units;
步骤E2、确定PSO结构,设置粒子个数为80,最大迭代次数为500次,以BPNN训练误差作为粒子适应度,初始化粒子群。Step E2, determine the PSO structure, set the number of particles to 80, the maximum number of iterations to 500, and use the BPNN training error as the particle fitness to initialize the particle swarm.
步骤E3、计算每个粒子当前位置的适应度值,以此来衡量该位置的优劣程度,并将第d维中的第i个粒子在当前迭代次数下找到的具有最大适应度值的位置记作Pid,即个体历史最优解;将第d维中的所有粒子在当前迭代次数下找到的具有最大适应度值的位置记作Pgd,即群体历史最优解。Step E3, calculate the fitness value of the current position of each particle, so as to measure the pros and cons of the position, and use the position with the maximum fitness value found by the i-th particle in the d-th dimension under the current number of iterations Denoted as P id , that is, the individual historical optimal solution; the position with the maximum fitness value found by all particles in the d-th dimension under the current iteration number is denoted as P gd , that is, the group historical optimal solution.
步骤E4、根据粒子群的个体历史最优解和群体历史最优解,用如下公式更新每个粒子的速度和位置以保证粒子朝着更优解的方向移动:Step E4, according to the individual historical optimal solution and the group historical optimal solution of the particle swarm, use the following formula to update the velocity and position of each particle to ensure that the particle moves towards a better solution:
vid(k+1)=ωvid+c1r1(Pid(k)-xid(k))+c2r2(Pgd(k)-xid(k))v id (k+1)=ωv id +c 1 r 1 (P id (k)-x id (k))+c 2 r 2 (P gd (k)-x id (k))
xid(k+1)=xid(k)+vid(k+1)x id (k+1)=x id (k)+v id (k+1)
式中,k为迭代次数;xid、vid分别为d维目标求解空间中第i个粒子的位置和速度;ω为速度的惯性权重,此处设为线性时变递减惯性权重;c1为单个粒子的个体加速系数,c2为粒子群的群体加速系数,取c1=c2=2;r1和r2为[0,1]范围中的随机常数;In the formula, k is the number of iterations; x id and v id are the position and velocity of the i-th particle in the d-dimensional target solution space; is the individual acceleration coefficient of a single particle, c 2 is the group acceleration coefficient of the particle swarm, and c 1 =c 2 =2; r 1 and r 2 are random constants in the range of [0, 1];
步骤E5、重复步骤E3和步骤E4,直到达到设定的终止条件,如达到最大迭代次数、适应度满足预先设定的阈值或运行时间超过限制等,输出最后一次迭代计算出的群体历史最优解作为全局最优解,即PSO优化的BPNN权重和偏置;Step E5, repeat step E3 and step E4 until the set termination condition is reached, such as reaching the maximum number of iterations, the fitness meets the preset threshold or the running time exceeds the limit, etc., and output the group history optimal calculated in the last iteration The solution is taken as the global optimal solution, that is, the PSO-optimized BPNN weights and biases;
步骤E6、以粒子群的输出结果初始化BPNN权重和偏置,在步骤D所述的热点温度反演样本训练集上训练热点温度和特征测点油温的关系模型,并在测试集上进行验证,结果表明热点温度样本观测值和PSO-BPNN模型拟合值的误差不超过0.8℃,相对误差绝对值最大不超过1.5%,完全能够满足工程要求。Step E6, initialize the BPNN weight and bias with the output of the particle swarm, train the relationship model between the hot spot temperature and the oil temperature of the characteristic measuring point on the hot spot temperature inversion sample training set described in step D, and verify it on the test set , the results show that the error between the observed value of the hot spot temperature sample and the fitted value of the PSO-BPNN model does not exceed 0.8°C, and the absolute value of the relative error does not exceed 1.5%, which can fully meet the engineering requirements.
步骤E7、基于前述步骤C预测出的特征测点油温未来值,以及步骤E6所述热点温度和特征测点油温的关系模型,实现对热点温度未来值的实时或短期预测。Step E7, based on the future value of the oil temperature of the characteristic measuring point predicted in the aforementioned step C, and the relationship model between the hot spot temperature and the oil temperature of the characteristic measuring point described in step E6, realize real-time or short-term prediction of the future value of the hot spot temperature.
此外,本发明实施例还提出一种计算机设备,包括存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序,处理器执行计算机程序时实现上述方法的步骤。In addition, an embodiment of the present invention also proposes a computer device, including a memory, a processor, and a computer program stored in the memory and operable on the processor. When the processor executes the computer program, the steps of the above method are implemented.
此外,本发明实施例还提出一种计算机可读存储介质,其上存储有计算机程序,计算机程序被处理器执行时实现上述方法的步骤。In addition, an embodiment of the present invention also provides a computer-readable storage medium on which a computer program is stored, and when the computer program is executed by a processor, the steps of the above method are implemented.
本领域内的技术人员应明白,本申请的实施例可提供为方法、系统、或计算机程序产品。因此,本申请可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本申请可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。Those skilled in the art should understand that the embodiments of the present application may be provided as methods, systems, or computer program products. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein.
以上所述实施例仅表达了本申请的几种优选实施方式,但是本发明并不局限于上述的具体实施方式,上述的具体实施方式仅仅是示意性的,而不是限制性的。本领域的普通技术人员在本发明的启示下,在不脱离本发明宗旨和权利要求所保护的范围情况下,还可做出很多形式的改进和替换,这些均属于本发明的保护范围之内。The above-mentioned embodiments only express several preferred implementations of the present application, but the present invention is not limited to the above-mentioned specific implementations, and the above-mentioned specific implementations are only illustrative, not restrictive. Under the enlightenment of the present invention, those of ordinary skill in the art can also make many forms of improvement and replacement without departing from the purpose of the present invention and the scope protected by the claims, and these all belong to the protection scope of the present invention .
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