CN112630564B - Transformer DGA fault diagnosis method based on neighborhood rough set and AMPOS-ELM - Google Patents
Transformer DGA fault diagnosis method based on neighborhood rough set and AMPOS-ELM Download PDFInfo
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Abstract
Description
技术领域technical field
本发明涉及电力系统变压器故障状态监测技术领域,尤其涉及一种基于邻域粗糙集与AMPOS-ELM的变压器DGA故障诊断方法。The invention relates to the technical field of power system transformer fault state monitoring, in particular to a transformer DGA fault diagnosis method based on neighborhood rough sets and AMPOS-ELM.
背景技术Background technique
电力变压器是电网系统中地位重要、价格昂贵的电气设备之一,在电力系统中占据不可或缺的作用,在电能的变换、传输环节起着核心作用。因此,保证电力变压器的安全运行非常必要。The power transformer is one of the important and expensive electrical equipment in the power grid system. It plays an indispensable role in the power system and plays a central role in the transformation and transmission of electric energy. Therefore, it is very necessary to ensure the safe operation of power transformers.
经过长期的变压器运行维护实践和大量的故障调查分析,发现变压器如果存在潜在故障或者在故障形成的初步阶段时,变压器油中溶解的各种气体就会反映出早期征兆。油中溶解气体分析(Dissolved Gas Analysis,简称DGA)正是为检测这些故障特征气体组分及含量,以便于分析判断变压器运行状况和故障隐患。After long-term transformer operation and maintenance practice and a large number of fault investigation and analysis, it is found that if there is a potential fault in the transformer or in the initial stage of fault formation, various gases dissolved in the transformer oil will reflect early symptoms. Dissolved Gas Analysis (DGA for short) is to detect the gas components and content of these fault characteristics, so as to analyze and judge the operation status of transformers and hidden faults.
变压器绝缘油是矿物油的一种,主要成分为含有碳碳双键或三键的不饱和烃和其他碳氢化合物。变压器内部放电故障或发热故障中会使一些油分子中某些碳氢键或碳碳键断裂,从而产生微量的活泼氢原子和碳氢化合物自由基,这些游离的氢原子和自由基又通过化学反应再次化合,最终可以形成H2、CH4、C2H6、C2H4、C2H2等烃类气体化合物。Transformer insulating oil is a kind of mineral oil, and its main components are unsaturated hydrocarbons and other hydrocarbons containing carbon-carbon double or triple bonds. Some carbon-hydrogen bonds or carbon-carbon bonds in some oil molecules will be broken during the internal discharge fault or heating fault of the transformer, thereby generating a small amount of active hydrogen atoms and hydrocarbon free radicals, and these free hydrogen atoms and free radicals will pass through chemical The reaction is combined again, and finally hydrocarbon gas compounds such as H2, CH4, C2H6, C2H4, and C2H2 can be formed.
电力变压器结构复杂,器件众多,一旦发生故障,无法及时查明故障类型,给后续维修造成了很大不便。而目前由于IEC三比值法其设置的边界条件比较苛刻,易导致误判、漏判等情况的发生,可能造成变压器带故障长期运行,对电力系统的正常运行埋下潜在风险。Power transformers have complex structures and numerous components. Once a fault occurs, it is impossible to find out the type of fault in time, which causes great inconvenience to subsequent maintenance. At present, due to the harsh boundary conditions set by the IEC three-ratio method, it is easy to cause misjudgment, missed judgment, etc., which may cause long-term operation of the transformer with faults, burying potential risks for the normal operation of the power system.
目前智能算法在变压器故障诊断领域的研究已经取得了很多成果,主要包括人工神经网络法(BPNN)、支持向量机法(Support Vector Machine,SVM)(Extreme LearningMachine,ELM)、极限学习机等方法,但不足之处仍然存在。首先在特征量选取方面,输入特征的选取对分类结果有很大影响,选择的输入特征维度数过高,造成引入过多非必要变量,不仅会造成预测准确性降低,还使参与训练的模型过于复杂,选择输入特征量较少时,又难以获得足够的信息表征输出特性,因此选择恰当的输入特征,对后续诊断可靠性至关重要。其次在算法方面,BPNN具有很强的容错及非线性映射能力,但却存在收敛速度慢和易过拟合等问题。SVM能更好的处理局部极小值且具有较强的泛化能力,但核参数和惩罚因子的选取限制SVM的分类性能,并且若选取的参数不合适,将出现诊断结果误差较大等问题。ELM以其学习速度快、泛化能力优良、分类准确率高等特点,在变压器故障诊断领域运用广泛,但由于ELM分类结果受初始随机生成参数的影响,若缺少合适的优化算法对其参数进行优化,易导致损失函数较大、鲁棒性较差的问题。虽然粒子群算法的诊断效果较好,但存在易陷入局部最优的缺陷,仍需进一步优化。At present, many achievements have been made in the research of intelligent algorithm in the field of transformer fault diagnosis, mainly including artificial neural network method (BPNN), support vector machine method (Support Vector Machine, SVM) (Extreme Learning Machine, ELM), extreme learning machine and other methods, But the shortcomings still exist. First of all, in terms of feature quantity selection, the selection of input features has a great impact on the classification results. The selected input feature dimensions are too high, resulting in the introduction of too many unnecessary variables, which will not only reduce the prediction accuracy, but also make the model participating in the training It is too complicated, and when the amount of selected input features is small, it is difficult to obtain enough information to characterize the output characteristics. Therefore, selecting appropriate input features is crucial to the reliability of subsequent diagnosis. Secondly, in terms of algorithms, BPNN has strong fault tolerance and nonlinear mapping capabilities, but it has problems such as slow convergence and easy overfitting. SVM can better deal with local minima and has strong generalization ability, but the selection of kernel parameters and penalty factors limits the classification performance of SVM, and if the selected parameters are inappropriate, there will be problems such as large errors in diagnostic results. . ELM is widely used in the field of transformer fault diagnosis due to its fast learning speed, excellent generalization ability, and high classification accuracy. , it is easy to lead to the problem of large loss function and poor robustness. Although the particle swarm optimization algorithm has a good diagnostic effect, it has the defect that it is easy to fall into a local optimum, and further optimization is still needed.
发明内容Contents of the invention
本发明针对基于DGA数据的智能变压器故障现有智能算法在变压器故障诊断准确率不高的问题,提供一种基于邻域粗糙集与AMPOS-ELM的变压器DGA故障诊断方法,以提高变压器故障诊断的准确率。The present invention aims at the problem that the existing intelligent algorithm for intelligent transformer faults based on DGA data has a low accuracy rate in transformer fault diagnosis, and provides a transformer DGA fault diagnosis method based on neighborhood rough sets and AMPOS-ELM to improve the accuracy of transformer fault diagnosis. Accuracy.
一种基于邻域粗糙集与AMPOS-ELM的变压器DGA故障诊断方法包括以下步骤:A transformer DGA fault diagnosis method based on neighborhood rough sets and AMPOS-ELM includes the following steps:
步骤S001,将变压器的各样本初始特征量结合各DGA故障诊断标准建立变压器初始故障特征量集,所述各样本初始特征量为因变压器故障产生的一种最主要的挥发性气体的含量以及因同一变压器故障产生的两种主要气体的体积比值;Step S001, combine the initial characteristic quantities of each sample of the transformer with each DGA fault diagnosis standard to establish a transformer initial fault characteristic quantity set. The volume ratio of the two main gases produced by the same transformer fault;
步骤S002,采用邻域粗糙集分析后获得属性重要度高的关键特征量;Step S002, obtaining key feature quantities with high attribute importance after neighborhood rough set analysis;
步骤S003,构建AMPOS-ELM模型,将邻域粗糙集筛选出的关键特征量作为AMPOS-ELM网络模型的输入,进行变压器故障诊断。Step S003, constructing an AMPOS-ELM model, and using the key feature quantities selected by the neighborhood rough set as the input of the AMPOS-ELM network model to perform transformer fault diagnosis.
有益效果:本发明的基于邻域粗糙集与AMPOS-ELM的变压器DGA故障诊断方法针对目前基于DGA数据在变压器故障诊断方法准确率易受输入特征影响以及极限学习机参数选择困难的问题,提出基于邻域粗糙集与自适应变异粒子群极限学习机算法的变压器故障诊断方法,提高了目前智能算法诊断结果的准确率。Beneficial effect: the transformer DGA fault diagnosis method based on neighborhood rough set and AMPOS-ELM of the present invention is aimed at the problem that the accuracy rate of the transformer fault diagnosis method based on DGA data is easily affected by the input characteristics and the parameter selection of the extreme learning machine is difficult. The transformer fault diagnosis method based on the neighborhood rough set and adaptive mutation particle swarm extreme learning machine algorithm improves the accuracy of the diagnosis results of the current intelligent algorithm.
具体实施方式Detailed ways
以下通过特定的具体实例说明本申请的实施方式,本领域技术人员可由本说明书所揭露的内容轻易地了解本申请的其他优点与功效。本申请还可以通过另外不同的具体实施方式加以实施或应用,本说明书中的各项细节也可以基于不同观点与应用,在没有背离本申请的精神下进行各种修饰或改变。需说明的是,在不冲突的情况下,以下实施例及实施例中的特征可以相互组合。Embodiments of the present application are described below through specific examples, and those skilled in the art can easily understand other advantages and effects of the present application from the content disclosed in this specification. The present application can also be implemented or applied through other different specific implementation modes, and various modifications or changes can be made to the details in this specification based on different viewpoints and applications without departing from the spirit of the present application. It should be noted that, in the case of no conflict, the following embodiments and features in the embodiments can be combined with each other.
一种基于邻域粗糙集与AMPOS-ELM的变压器DGA故障诊断方法包括以下步骤:A transformer DGA fault diagnosis method based on neighborhood rough sets and AMPOS-ELM includes the following steps:
步骤S001,将变压器的各样本初始特征量结合各DGA故障诊断标准建立变压器初始故障特征量集,所述各样本初始特征量为因变压器故障产生的一种最主要的挥发性气体的含量以及因同一变压器故障产生的两种主要气体的体积比值;Step S001, combine the initial characteristic quantities of each sample of the transformer with each DGA fault diagnosis standard to establish a transformer initial fault characteristic quantity set. The volume ratio of the two main gases produced by the same transformer fault;
步骤S002,采用邻域粗糙集分析后获得属性重要度高的关键特征量;Step S002, obtaining key feature quantities with high attribute importance after neighborhood rough set analysis;
步骤S003,构建AMPOS-ELM模型,将邻域粗糙集筛选出的关键特征量作为AMPOS-ELM网络模型的输入,进行变压器故障诊断。Step S003, constructing an AMPOS-ELM model, and using the key feature quantities selected by the neighborhood rough set as the input of the AMPOS-ELM network model to perform transformer fault diagnosis.
进一步的,在步骤S001中,“将变压器的各样本初始特征量结合各DGA故障诊断标准建立变压器初始故障特征量集”包括以下步骤:Further, in step S001, "combining the initial feature quantities of each sample of the transformer with each DGA fault diagnosis standard to establish a transformer initial fault feature set" includes the following steps:
步骤S101,将变压器的各样本初始特征量根据DGA故障诊断标准建立7个故障类型,分别为正常状态组、局部放电组、低能放电状态组、高能放电状态组、高温过热状态组、放电兼过热组、中低温过热状态组,即所有的样本初始特征量都能够被归入到该7个故障类型内;Step S101, based on the initial characteristic quantities of each sample of the transformer, 7 fault types are established according to the DGA fault diagnosis standard, which are normal state group, partial discharge group, low-energy discharge state group, high-energy discharge state group, high-temperature overheating state group, discharge and overheating state group group, medium and low temperature overheating state group, that is, all initial feature quantities of samples can be classified into the seven fault types;
步骤S102,根据比值法构造故障特征的规则,将因变压器故障产生的一种最主要的挥发性气体的含量以及因同一变压器故障产生的两种主要气体的体积比值作为初始故障特征量集。Step S102, according to the rule of constructing fault characteristics by the ratio method, the content of a most important volatile gas produced by a transformer fault and the volume ratio of two main gases produced by the same transformer fault are used as an initial fault feature set.
进一步的,在步骤S002中,“采用邻域粗糙集分析后获得属性重要度高的关键特征量”包括以下步骤:Further, in step S002, "obtaining key feature quantities with high attribute importance after neighborhood rough set analysis" includes the following steps:
步骤S201,以变压器故障类型为决策属性、初始故障特征量为条件属性,建立决策信息表,确立属性重要度下限及邻域半径集合;Step S201, taking the transformer fault type as the decision attribute and the initial fault feature quantity as the condition attribute, establishing a decision information table, establishing the lower limit of the attribute importance and the set of neighborhood radii;
步骤S202,通过邻域粗糙集算法得到优化故障特征量集并得到各优化故障特征的属性重要度;Step S202, obtaining the optimized fault feature quantity set through the neighborhood rough set algorithm and obtaining the attribute importance of each optimized fault feature;
步骤S203,将各优化故障特征量的属性重要度与传统的变压器故障诊断选取的特征量的属性重要度按照从大到小的顺序进行排序,比传统的变压器故障诊断选取的特征量的属性重要度大的优化故障特征量的属性重要度对应的故障特征量,作为DGA特征量,该DGA特征量即为属性重要度高的关键特征量。Step S203, sort the attribute importance of each optimized fault feature quantity and the attribute importance of the feature quantity selected in the traditional transformer fault diagnosis in descending order, which is more important than the attribute of the feature quantity selected in the traditional transformer fault diagnosis The fault feature quantity corresponding to the attribute importance of the optimized fault feature quantity with large degree is used as the DGA feature quantity, and the DGA feature quantity is the key feature quantity with high attribute importance.
邻域粗糙集算法的具体步骤如下:The specific steps of the neighborhood rough set algorithm are as follows:
步骤S301,输入决策系统NDT={U,A∪V,N,f},其中U为故障类型和初始故障特征量的集合,A为初始故障特征量的集合,V为故障类型的集合,N为故障类型的数量,f是信息函数,该信息函数指定了集合U中的每一个对象的属性值,为取得更为优化的故障特征量,设定属性重要度下限值为0.2;Step S301, input decision system NDT={U,A∪V,N,f}, where U is the set of fault types and initial fault features, A is the set of initial fault features, V is the set of fault types, N is the number of fault types, f is an information function, and this information function specifies the attribute value of each object in the set U. In order to obtain a more optimized fault characteristic value, the lower limit of attribute importance is set to 0.2;
步骤S302,建立集合A的子集B,即设A和B是U的两个等价关系族,且子集B独立于A,子集B记为red;Step S302, establishing a subset B of the set A, that is, assuming that A and B are two equivalence relation families of U, And the subset B is independent of A, and the subset B is recorded as red;
步骤S303,令对任意an∈(A-red)利用公式计算正域posB(V),并选择an,使正域posB(V)值最大,其中Step S303, make For any a n ∈ (A-red) use the formula Calculate the positive field pos B (V), and choose a n to maximize the value of the positive field pos B (V), where
δB(Xi)={Xi|Xj∈U,Δ(Xi,Xj)≤δ},δ B (X i )={X i |X j ∈U,Δ(X i ,X j )≤δ},
Xg∈U,X g ∈ U,
δB(Xi)是Xg的邻域,即集合δB(Xi)中的所有故障特征量都与Xg相似,Yg是U的等价子集;δ B (X i ) is the neighborhood of X g , that is, all fault feature quantities in the set δ B (X i ) are similar to X g , and Y g is an equivalent subset of U;
步骤S304,定义集合V对B的依赖度: Step S304, define the dependency of set V on B:
初始故障特征量a∈B,初始故障特征量a对决策属性V的属性重要度公式为:sig(a,B,V)=γB(V)-γB-{a}(V),如果计算出的结果大于属性重要度下限值0.2,那么就输出red,否则输出初始故障特征量a,直至将所有的初始故障特征量分类完成,从而获得优化故障特征量集并得到各优化故障特征的属性重要度。The initial fault feature quantity a∈B, the attribute importance formula of the initial fault feature quantity a to the decision attribute V is: sig(a,B,V)=γ B (V)-γ B-{a} (V), if If the calculated result is greater than the lower limit value of attribute importance 0.2, then output red, otherwise output the initial fault feature quantity a, until all the initial fault feature quantities are classified, so as to obtain the optimal fault feature set and each optimized fault feature attribute importance.
构建AMPOS-ELM模型,将邻域粗糙集筛选出的关键特征量作为AMPOS-ELM网络模型的输入,进行变压器故障诊断的方法如下:The AMPOS-ELM model is constructed, and the key feature quantities selected by the neighborhood rough set are used as the input of the AMPOS-ELM network model, and the method for transformer fault diagnosis is as follows:
步骤S401:确定ELM拓扑结构以及训练样本,初始化粒子群,选取合适的cmax与cmin、kmax、ω、M;Step S401: Determine the ELM topology and training samples, initialize the particle swarm, and select appropriate c max and c min , k max , ω, M;
步骤S402:设POS算法当前的适应度Fi=σ。将每个粒子的适应度值与该粒子所经历过的最优位置pbest进行比较,如果Fi<pbest,则用pbest代替Fi,否则维持现状;Step S402: Set the current fitness F i =σ of the POS algorithm. Compare the fitness value of each particle with the optimal position pbest experienced by the particle, if F i < pbest, replace F i with pbest, otherwise maintain the status quo;
步骤S403:比较Fi与gbest的大小,如果优于前者,则将其作为当前的gbest成为最新的全局最佳位置;Step S403: compare the size of F i and gbest, if it is better than the former, use it as the current gbest to become the latest global best position;
步骤S404:按式(1)更新粒子权重αi、并同时根据式(2)判断粒子群是否早熟,若早熟则对粒子按式(5)给予逃逸操作,否则根据式(3)、式(4)更新粒子速度和位置。循环上述步骤,运行次数达到kmax=160最大迭代次数或gbest达到稳定时,退出程序,并返回当前最优个体及其适应度;Step S404: Update particle weight α i according to formula (1), and judge whether the particle swarm is premature according to formula (2), if it is premature, give the particle an escape operation according to formula (5); 4) Update particle velocity and position. Repeat the above steps, when the running times reach k max = 160 maximum iterations or gbest reaches stability, exit the program and return the current optimal individual and its fitness;
式中:αi为粒子i的权重系数,i=1,2,3.....M,M为种群规模,pbesti为粒子的最佳位置,gbest为全局最佳位置。In the formula: α i is the weight coefficient of particle i, i=1,2,3...M, M is the population size, pbest i is the best position of the particle, gbest is the global best position.
式中:Δ为粒子群的平均适应值偏离度,fi为粒子i的适应度,favg为当前群体的平均适应度。In the formula: Δ is the deviation degree of the average fitness value of the particle swarm, f i is the fitness degree of particle i, f avg is the average fitness degree of the current group.
式中,k为迭代次数;ω为惯性权重;c1、c2为粒子学习因子;r1、r2∈rand[0,1];分别为第k次迭代时超参数i的第j维变量的速度、位置、个体最优位置和全局最优位置。In the formula, k is the number of iterations; ω is the inertia weight; c 1 , c 2 are particle learning factors; r 1 , r 2 ∈ rand[0,1]; are the speed, position, individual optimal position and global optimal position of the j-th dimension variable of the hyperparameter i at the k-th iteration, respectively.
式中:r∈[0,1]上的均匀随机数;zk为逃逸控制因子。In the formula: uniform random number on r ∈ [0,1]; z k is the escape control factor.
步骤S405:输出最优适应度所对应的输入权值和隐层阈值,计算最优输出权值矩阵;Step S405: output the input weight and hidden layer threshold corresponding to the optimal fitness, and calculate the optimal output weight matrix;
步骤S406:根据输出权值矩阵,建立基于ELM的变压器故障诊断模型;Step S406: Establish an ELM-based transformer fault diagnosis model according to the output weight matrix;
步骤S407:将测试样本集输入步骤S406建立的模型进行变压器故障诊断。Step S407: Input the test sample set into the model established in step S406 for transformer fault diagnosis.
本发明采用某电科院提供的共417组已确认变压器故障类型样本,根据相关规程诊断结果可划分为7种状态,具体如下:(1)正常状态(N);(2)局部放电(PD)(3)低能放电状态(D1);(4)高能放电状态(D2);(5)高温过热状态(T3);(6)放电兼过热(TD);(7)中低温过热状态(T12)。样本分布如表1所示,共417组样本,从中随机选取317组作为训练集,剩余100组为测试集。The present invention uses a total of 417 groups of confirmed transformer fault type samples provided by an electric power research institute, and can be divided into 7 states according to the diagnostic results of relevant regulations, as follows: (1) normal state (N); (2) partial discharge (PD) )(3) Low energy discharge state (D1); (4) High energy discharge state (D2); (5) High temperature overheat state (T3); (6) Discharge and overheat state (TD); (7) Medium and low temperature overheat state (T12 ). The sample distribution is shown in Table 1. There are 417 groups of samples in total, 317 groups are randomly selected as the training set, and the remaining 100 groups are used as the test set.
样本分布如表1。The sample distribution is shown in Table 1.
表1变压器故障样本Table 1 Transformer fault samples
变压器故障产生的气体有以下存在形式:Gases generated by transformer faults exist in the following forms:
2、筛选关键属性特征2. Screen key attribute characteristics
利用317条训练数据建立决策表,基于邻域粗糙集算法对其进行属性约简,获得最终最小故障特征集及相关重要度见表3。与传统变压器故障诊断选取的特征量进行对比,选取表3中属性重要度排序靠前的CH4/H2、C2H4/C2H6、C2H2/C2H4故障特征,作为DGA特征量优选结果。317 pieces of training data are used to establish a decision table, and the attributes are reduced based on the neighborhood rough set algorithm. The final minimum fault feature set and related importance are shown in Table 3. Compared with the feature quantities selected for traditional transformer fault diagnosis, the CH4/H2, C2H4/C2H6, and C2H2/C2H4 fault features ranked first in the importance of attributes in Table 3 are selected as the optimal result of DGA feature quantities.
表3关键属性特征集及属性重要度Table 3 Key attribute feature set and attribute importance
3、ELM参数优化及故障诊断3. ELM parameter optimization and fault diagnosis
针对测试集进行故障诊断识别,将关键特征指标作为AMPOS-ELM的输入特征量,AMPOS-ELM诊断结果如下表4。Carry out fault diagnosis and recognition for the test set, and use the key characteristic indicators as the input feature quantity of AMPOS-ELM. The diagnosis results of AMPOS-ELM are shown in Table 4.
表4 AMPOS-ELM诊断结果Table 4 AMPOS-ELM diagnostic results
由表可知,AMPOS-ELM模型的测试准确率最高为89%,因此本方法提出AMPOS-ELM诊断模型具有较高可靠性。It can be seen from the table that the test accuracy of the AMPOS-ELM model is up to 89%, so the AMPOS-ELM diagnostic model proposed by this method has high reliability.
以上所揭露的仅为本发明较佳实施例而已,当然不能以此来限定本发明之权利范围,本领域普通技术人员可以理解实现上述实施例的全部或部分流程,并依本发明权利要求所作的等同变化,仍属于发明所涵盖的范围。What is disclosed above is only a preferred embodiment of the present invention, and certainly cannot limit the scope of rights of the present invention with this. Those of ordinary skill in the art can understand the whole or part of the process of realizing the above-mentioned embodiment, and make according to the claims of the present invention The equivalent changes still belong to the scope covered by the invention.
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