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CN114444395B - Quantum variation multi-universe optimized power supply line fault identification method - Google Patents

Quantum variation multi-universe optimized power supply line fault identification method Download PDF

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CN114444395B
CN114444395B CN202210105466.2A CN202210105466A CN114444395B CN 114444395 B CN114444395 B CN 114444395B CN 202210105466 A CN202210105466 A CN 202210105466A CN 114444395 B CN114444395 B CN 114444395B
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付华
管智峰
包力铭
刘尚霖
陈子林
周文铮
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Liaoning Technical University
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Abstract

一种量子变异多元宇宙优化的供电线路故障辨识方法,涉及供电线路故障辨识领域;通过在传统多元宇宙优化算法中引入量子粒子群算法,并在算法中引入粒子平均最优位置,使算法具有更好的收敛精度与速度;采用柯西‑高斯变异策略,解决传统多元宇宙优化算法迭代的后期,个体快速同化,出现局部最优停滞的情况;对短路故障进行有效的辨识,从而为维修人员提供良好的故障数据信息,及时地将线路的短路故障切除,避免事故的扩大,保证电力系统的稳定运行。

A power supply line fault identification method based on quantum mutation multiverse optimization relates to the field of power supply line fault identification. A quantum particle swarm algorithm is introduced into a traditional multiverse optimization algorithm, and an average optimal position of particles is introduced into the algorithm, so that the algorithm has better convergence accuracy and speed. A Cauchy-Gauss mutation strategy is adopted to solve the problem of rapid assimilation of individuals and local optimal stagnation in the late iteration of the traditional multiverse optimization algorithm. Short-circuit faults are effectively identified, thereby providing maintenance personnel with good fault data information, timely removing the short-circuit fault of the line, avoiding the expansion of the accident, and ensuring the stable operation of the power system.

Description

一种量子变异多元宇宙优化的供电线路故障辨识方法A quantum variation multiverse optimized power supply line fault identification method

技术领域Technical Field

本发明涉及供电线路故障辨识领域,尤其涉及一种量子变异多元宇宙优化的供电线路故障辨识方法。The present invention relates to the field of power supply line fault identification, and in particular to a power supply line fault identification method optimized by quantum variation multiverse.

背景技术Background Art

煤炭仍然是中国最重要的能源。煤炭作为我国人民生产生活的主要消耗能源,其中煤矿供电线路是故障发生率最高的部分之一,这主要是受到外力、线路老化等影响;为了加快保护装置清除故障后恢复正常运行的速度,尽快确定故障位置是非常重要的;在矿用供电线路中,目视检查非常耗时,延误了故障线路的维修,另一方面,故障定位方法的准确性取决于数据采集和处理的质量,包括先前的故障检测和分类结果,故障分类时故障辨识的最后一步,也是最为重要的一步,常用的故障分类方法有随机森林、支持向量机、极限学习机、核极限学习机等;随机森林已经被证明在某些噪音较大的分类或回归问题上会过拟,对于有不同取值的属性的数据,取值划分较多的属性会对随机森林产生更大的影响,所以随机森林在这种数据上产出的属性权值是不可信的。支持向量机对大规模训练样本难以实施,支持向量机的空间消耗主要是存储训练样本和核矩阵,由于支持向量机是借助二次规划来求解支持向量,而求解二次规划将涉及m阶矩阵的计算,当m数目很大时该矩阵的存储和计算将耗费大量的机器内存和运算时间。支持向量机解决多分类问题困难,经典的支持向量机算法只给出了两类分类的算法,而在实际应用中,一般要解决多类的分类问题。极限学习机是一种简单易用、有效的单隐层前馈神经网络学习算法。传统的神经网络学习算法需要人为设置大量的网络训练参数,并且很容易产生局部最优解。极限学习机只需要设置网络的隐层节点个数,在算法执行过程中不需要调整网络的输入权值以及隐元的偏置,并且产生唯一的最优解,因此具有学习速度快且泛化性能好的优点。核极限学习机是基于极限学习机并结合核函数所提出的改进算法,核极限学习机能够在保留极限学习机优点的基础上提高模型的预测性能,与传统的训练方法相比,核极限学习机具有学习速率快、泛化性能好等优点。Coal is still the most important energy source in China. Coal is the main energy consumed by the people in my country. Among them, coal mine power supply lines are one of the parts with the highest fault incidence rate, which is mainly affected by external forces, line aging, etc. In order to speed up the speed of the protection device to resume normal operation after clearing the fault, it is very important to determine the fault location as soon as possible. In mine power supply lines, visual inspection is very time-consuming, delaying the maintenance of faulty lines. On the other hand, the accuracy of fault location methods depends on the quality of data acquisition and processing, including previous fault detection and classification results. Fault classification is the last step of fault identification and the most important step. Commonly used fault classification methods include random forests, support vector machines, extreme learning machines, kernel extreme learning machines, etc. Random forests have been proven to be over-fitting in some classification or regression problems with large noise. For data with attributes with different values, attributes with more value divisions will have a greater impact on random forests, so the attribute weights produced by random forests on such data are unreliable. Support vector machines are difficult to implement for large-scale training samples. The space consumption of support vector machines is mainly to store training samples and kernel matrices. Since support vector machines use quadratic programming to solve support vectors, and solving quadratic programming will involve the calculation of m-order matrices, when the number m is large, the storage and calculation of the matrix will consume a lot of machine memory and computing time. Support vector machines are difficult to solve multi-classification problems. The classic support vector machine algorithm only gives two-class classification algorithms, but in practical applications, multi-class classification problems are generally solved. Extreme learning machine is a simple, easy-to-use and effective single hidden layer feedforward neural network learning algorithm. Traditional neural network learning algorithms require a large number of network training parameters to be set manually, and it is easy to produce local optimal solutions. Extreme learning machines only need to set the number of hidden layer nodes of the network. During the execution of the algorithm, there is no need to adjust the input weights of the network and the bias of the hidden element, and it produces a unique optimal solution, so it has the advantages of fast learning speed and good generalization performance. The kernel extreme learning machine is an improved algorithm based on the extreme learning machine and combined with the kernel function. The kernel extreme learning machine can improve the prediction performance of the model while retaining the advantages of the extreme learning machine. Compared with the traditional training method, the kernel extreme learning machine has the advantages of fast learning rate and good generalization performance.

发明内容Summary of the invention

为解决现有技术的不足,提供一种量子变异多元宇宙优化的供电线路故障辨识方法;In order to solve the shortcomings of the existing technology, a power supply line fault identification method based on quantum variation multiverse optimization is provided;

本发明所采取的技术方案是:The technical solution adopted by the present invention is:

一种量子变异多元宇宙优化的供电线路故障辨识方法,包括以下步骤:A method for identifying power supply line faults based on quantum variation multiverse optimization comprises the following steps:

S1:收集输电线路故障电压信号;S1: Collecting transmission line fault voltage signals;

S2:对故障电压信号进行变分模态分解;选取变分模态分解后的模态分量瞬时频率的均值,绘制标准化瞬时频率均值曲线,得到变分模态分解算法中最优的K值;S2: performing variational modal decomposition on the fault voltage signal; selecting the mean of the instantaneous frequency of the modal component after variational modal decomposition, drawing a standardized instantaneous frequency mean curve, and obtaining the optimal K value in the variational modal decomposition algorithm;

S3:利用VMD方法对故障电压信号进行分解,得到IMF分量;再利用PE计算各个本征模态分量的多尺度熵值;S3: Decompose the fault voltage signal using the VMD method to obtain the IMF component; then use PE to calculate the multi-scale entropy value of each intrinsic mode component;

S4:将计算得到的各本征模态分量的排列列熵值组成特征向量;S4: The calculated permutation column entropy values of each eigenmode component are used to form a eigenvector;

S5:在标准多元宇宙优化算法中采用量子粒子群算法,引入粒子平均最优位置Av(t);引入柯西-高斯变异策略构建量子变异多元宇宙优化算法;S5: The quantum particle swarm algorithm is used in the standard multiverse optimization algorithm, and the average optimal position of particles Av(t) is introduced; the Cauchy-Gauss mutation strategy is introduced to construct the quantum mutation multiverse optimization algorithm;

多元宇宙优化算法运行方式如式(1)所示:The operation mode of the multiverse optimization algorithm is shown in formula (1):

其中,Xj为目前最优宇宙的第j个变量ubj为第j个变量最大值,lbj为第j个変量最小值,为第i个宇宙的第j个变量,r2,r3,r4均为介于0和1的随机数;Among them, Xj is the jth variable of the current optimal universe, ubj is the jth maximum value of the variable, and lbj is the jth minimum value of the variable. is the jth variable of the i-th universe, r 2 , r 3 , r 4 are all random numbers between 0 and 1;

WEP表示虫洞存在可能性系数,如式(2)所示:WEP represents the probability coefficient of wormhole existence, as shown in formula (2):

其中,min为WEP最小值;max为WEP最大值;l为当前迭代次数;L为最大迭代次数;Where min is the minimum WEP value; max is the maximum WEP value; l is the current iteration number; L is the maximum iteration number;

TDR表示旅程距离速率系数,如式(3)所示TDR represents the travel distance rate coefficient, as shown in formula (3)

其中,p定义了随迭代次数改变的探测速度,p值越高,局部探测速度越快,用时越短;Among them, p defines the detection speed that changes with the number of iterations. The higher the p value, the faster the local detection speed and the shorter the time.

将量子粒子群算法引入多元宇宙优化算法中,设定每一个粒子都具有量子行为,对于粒子i,其吸引势子表示为pi(pi,1,pi,2,…,pi,n),考虑到粒子位置xi,j随时间变化由波函数描述其状态,则N维搜索空间基于δ势阱的量子粒子群算法中粒子进化方程如式(4)所示:The quantum particle swarm algorithm is introduced into the multiverse optimization algorithm. Each particle is assumed to have quantum behavior. For particle i, its attractive potential is represented by p i (p i,1 ,p i,2 ,…,p i,n ). Considering that the particle position x i,j changes with time and its state is described by the wave function, the particle evolution equation in the quantum particle swarm algorithm based on the δ potential well in the N-dimensional search space is shown in formula (4):

其中,pi,j表示吸引势子pi在j维的坐标,Li,j为特征搜索长度,ui,j~U(0,1)为均匀分布的随机数;在算法中引入粒子平均最优位置Av(t),表示所有粒子最优位置的平均值Li,j=2γ·|Avj(t)-xi,j(t)|,式(4)变更为如式(5)所示:Among them, pi ,j represents the coordinates of the attractor pi in the j dimension, Li ,j is the characteristic search length, and ui ,j ~U(0,1) are uniformly distributed random numbers; the average optimal position of particles Av(t) is introduced in the algorithm, which represents the average value of the optimal positions of all particles Li,j = 2γ·| Avj (t)-xi ,j (t)|, equation (4) is changed to equation (5):

其中,γ表示收缩-扩张因子;Where γ represents the contraction-expansion factor;

采用柯西-高斯变异策略,选择当前适应度最好的个体进行变异,然后比较其变异前后的位置,选择最优的位置代入下一次迭代,如式(6)-(8)所示:The Cauchy-Gauss mutation strategy is adopted to select the individual with the best current fitness for mutation, and then compare its position before and after mutation, and select the optimal position to substitute for the next iteration, as shown in equations (6)-(8):

其中,表示最优个体变异后的位置;σ2表示柯西-高斯变异策略的标准差;cauchy(0,σ2)是满足柯西分布的随机变量;Gaus(s0,σ2)是满足高斯分布的随机变量;其中,t代表当前迭代次数,Tmax表示最大迭代次数;λ1、λ2是随迭代次数自适应调整的动态参数.在寻优过程中,λ1逐渐减小,λ2逐渐增大;in, represents the position of the optimal individual after mutation; σ 2 represents the standard deviation of the Cauchy-Gaussian mutation strategy; cauchy(0,σ 2 ) is a random variable that satisfies the Cauchy distribution; Gaus(s0,σ 2 ) is a random variable that satisfies the Gaussian distribution; and Where t represents the current iteration number, T max represents the maximum iteration number; λ 1 and λ 2 are dynamic parameters that are adaptively adjusted with the iteration number. During the optimization process, λ 1 gradually decreases and λ 2 gradually increases;

S6:利用量子变异多元宇宙算法优化核极限学习机的正则化系数和核函数参数;S6: Optimize the regularization coefficient and kernel function parameters of the kernel extreme learning machine using the quantum mutation multiverse algorithm;

S6.1:随机生成初始化位置,形成初始搜索种群;S6.1: Randomly generate initial positions to form an initial search population;

S6.2:为改进原生多元宇宙算法性能,引入量子粒子群算法,加快收敛速度;S6.2: In order to improve the performance of the native multiverse algorithm, the quantum particle swarm algorithm is introduced to accelerate the convergence speed;

S6.3:采用柯西-高斯变异策略,选择当前适应度最好的个体进行变异,使算法跳出局部最优;S6.3: Use the Cauchy-Gauss mutation strategy to select the individual with the best current fitness for mutation, so that the algorithm can jump out of the local optimum;

S6.4:更新粒子个体及群体最优位置,检查算法是否达到最大迭代次数,若达到最大迭代次数,则输出最优核极限学习机参数;若不满足最大迭代次数,则返回S6.2,继续进行下一次迭代运算;S6.4: Update the optimal position of individual particles and the group, check whether the algorithm has reached the maximum number of iterations, and if so, output the optimal kernel extreme learning machine parameters; if not, return to S6.2 and continue the next iteration operation;

S7:构建线路故障模态分解熵与量子变异多元宇宙优化核极限学习机预测分类模型,判别出输电线路短路故障类型。S7: Construct a prediction and classification model of line fault modal decomposition entropy and quantum mutation multiverse optimized nuclear extreme learning machine to identify the type of transmission line short-circuit fault.

有益技术效果Beneficial technical effects

(1)引入量子粒子群算法,并在算法中引入粒子平均最优位置Av(t),使算法具有更好的收敛精度与速度。(1) The quantum particle swarm algorithm is introduced, and the average optimal position of particles Av(t) is introduced into the algorithm, so that the algorithm has better convergence accuracy and speed.

(2)采用柯西-高斯变异策略,解决传统多元宇宙优化算法迭代的后期,个体快速同化,出现局部最优停滞的情况。(2) The Cauchy-Gauss mutation strategy is used to solve the problem of rapid assimilation of individuals and stagnation of local optimality in the late iteration of the traditional multiverse optimization algorithm.

(3)采用一种量子变异多元宇宙优化的供电线路故障辨识方法对短路故障进行有效的辨识,从而为维修人员提供良好的故障数据信息,及时地将线路的短路故障切除,避免事故的扩大,保证电力系统的稳定运行。(3) A quantum variation multiverse optimized power supply line fault identification method is used to effectively identify short-circuit faults, thereby providing maintenance personnel with good fault data information, timely removing the short-circuit faults in the line, avoiding the expansion of accidents, and ensuring the stable operation of the power system.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

图1为本发明实施例提供的一种量子变异多元宇宙优化的供电线路故障辨识方法流程图;FIG1 is a flow chart of a method for identifying power line faults using quantum variation multiverse optimization provided by an embodiment of the present invention;

图2为本发明实施例提供的一种量子变异多元宇宙优化算法执行流程图。FIG2 is a flowchart of an execution of a quantum mutation multiverse optimization algorithm provided by an embodiment of the present invention.

具体实施方式DETAILED DESCRIPTION

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;The specific implementation of the present invention is further described in detail below in conjunction with the accompanying drawings and embodiments;

一种量子变异多元宇宙优化的供电线路故障辨识方法,如图1所示,包括以下步骤:A method for identifying power line faults based on quantum variation multiverse optimization, as shown in FIG1 , comprises the following steps:

S1:收集输电线路故障电压信号;S1: Collecting transmission line fault voltage signals;

S2:对故障电压信号进行变分模态分解;选取变分模态分解后的模态分量瞬时频率的均值,绘制标准化瞬时频率均值曲线,得到变分模态分解算法中最优的K值;S2: performing variational modal decomposition on the fault voltage signal; selecting the mean of the instantaneous frequency of the modal component after variational modal decomposition, drawing a standardized instantaneous frequency mean curve, and obtaining the optimal K value in the variational modal decomposition algorithm;

S3:利用VMD方法对故障电压信号进行分解,得到IMF分量;再利用PE计算各个本征模态分量的多尺度熵值;S3: Decompose the fault voltage signal using the VMD method to obtain the IMF component; then use PE to calculate the multi-scale entropy value of each intrinsic mode component;

S4:将计算得到的各本征模态分量的排列列熵值组成特征向量;S4: The calculated permutation column entropy values of each eigenmode component are used to form a eigenvector;

S5:如在标准多元宇宙优化算法中采用量子粒子群算法,引入粒子平均最优位置Av(t);引入柯西-高斯变异策略构建量子变异多元宇宙优化算法,如图2所示;S5: For example, a quantum particle swarm algorithm is used in a standard multiverse optimization algorithm, and the average optimal position of particles Av(t) is introduced; a Cauchy-Gauss mutation strategy is introduced to construct a quantum mutation multiverse optimization algorithm, as shown in FIG2 ;

多元宇宙优化算法运行方式如式(1)所示:The operation mode of the multiverse optimization algorithm is shown in formula (1):

其中,Xj为目前最优宇宙的第j个变量ubj为第j个变量最大值,lbj为第j个変量最小值,为第i个宇宙的第j个变量,r2,r3,r4均为介于0和1的随机数;Among them, Xj is the jth variable of the current optimal universe, ubj is the jth maximum value of the variable, and lbj is the jth minimum value of the variable. is the jth variable of the i-th universe, r 2 , r 3 , r 4 are all random numbers between 0 and 1;

WEP表示虫洞存在可能性系数,如式(2)所示:WEP represents the probability coefficient of wormhole existence, as shown in formula (2):

其中,min为WEP最小值;max为WEP最大值;l为当前迭代次数;L为最大迭代次数;Where min is the minimum WEP value; max is the maximum WEP value; l is the current iteration number; L is the maximum iteration number;

TDR表示旅程距离速率系数,如式(3)所示TDR represents the travel distance rate coefficient, as shown in formula (3)

其中,p定义了随迭代次数改变的探测速度,p值越高,局部探测速度越快,用时越短;Among them, p defines the detection speed that changes with the number of iterations. The higher the p value, the faster the local detection speed and the shorter the time.

将量子粒子群算法引入多元宇宙优化算法中,设定每一个粒子都具有量子行为,对于粒子i,其吸引势子表示为pi(pi,1,pi,2,…,pi,n),考虑到粒子位置xi,j随时间变化由波函数描述其状态,则N维搜索空间基于δ势阱的量子粒子群算法中粒子进化方程如式(4)所示:The quantum particle swarm algorithm is introduced into the multiverse optimization algorithm. Each particle is assumed to have quantum behavior. For particle i, its attractive potential is represented by p i (p i,1 ,p i,2 ,…,p i,n ). Considering that the particle position x i,j changes with time and its state is described by the wave function, the particle evolution equation in the quantum particle swarm algorithm based on the δ potential well in the N-dimensional search space is shown in formula (4):

其中,pi,j表示吸引势子pi在j维的坐标,Li,j为特征搜索长度,ui,j~U(0,1)为均匀分布的随机数;在算法中引入粒子平均最优位置Av(t),表示所有粒子最优位置的平均值Li,j=2γ·|Avj(t)-xi,j(t)|,式(4)变更为如式(5)所示:Among them, pi ,j represents the coordinates of the attractor pi in the j dimension, Li ,j is the characteristic search length, and ui ,j ~U(0,1) are uniformly distributed random numbers; the average optimal position of particles Av(t) is introduced in the algorithm, which represents the average value of the optimal positions of all particles Li,j = 2γ·| Avj (t)-xi ,j (t)|, equation (4) is changed to equation (5):

其中,γ表示收缩-扩张因子;Where γ represents the contraction-expansion factor;

采用柯西-高斯变异策略,选择当前适应度最好的个体进行变异,然后比较其变异前后的位置,选择最优的位置代入下一次迭代,如式(6)-(8)所示:The Cauchy-Gauss mutation strategy is adopted to select the individual with the best current fitness for mutation, and then compare its position before and after mutation, and select the optimal position to substitute for the next iteration, as shown in equations (6)-(8):

其中,表示最优个体变异后的位置;σ2表示柯西-高斯变异策略的标准差;cauchy(0,σ2)是满足柯西分布的随机变量;Gaus(s0,σ2)是满足高斯分布的随机变量;其中,t代表当前迭代次数,Tmax表示最大迭代次数;λ1、λ2是随迭代次数自适应调整的动态参数.在寻优过程中,λ1逐渐减小,λ2逐渐增大;in, represents the position of the optimal individual after mutation; σ 2 represents the standard deviation of the Cauchy-Gaussian mutation strategy; cauchy(0,σ 2 ) is a random variable that satisfies the Cauchy distribution; Gaus(s0,σ 2 ) is a random variable that satisfies the Gaussian distribution; and Where t represents the current iteration number, T max represents the maximum iteration number; λ 1 and λ 2 are dynamic parameters that are adaptively adjusted with the iteration number. During the optimization process, λ 1 gradually decreases and λ 2 gradually increases;

S6:利用量子变异多元宇宙算法优化核极限学习机的正则化系数和核函数参数;S6: Optimize the regularization coefficient and kernel function parameters of the kernel extreme learning machine using the quantum mutation multiverse algorithm;

S6.1:随机生成初始化位置,形成初始搜索种群;S6.1: Randomly generate initial positions to form an initial search population;

S6.2:为改进原生多元宇宙算法性能,引入量子粒子群算法,加快收敛速度;S6.2: In order to improve the performance of the native multiverse algorithm, the quantum particle swarm algorithm is introduced to accelerate the convergence speed;

S6.3:采用柯西-高斯变异策略,选择当前适应度最好的个体进行变异,使算法跳出局部最优;S6.3: Use the Cauchy-Gauss mutation strategy to select the individual with the best current fitness for mutation, so that the algorithm can jump out of the local optimum;

S6.4:更新粒子个体及群体最优位置,检查算法是否达到最大迭代次数,若达到最大迭代次数,则输出最优核极限学习机参数;若不满足最大迭代次数,则返回S6.2,继续进行下一次迭代运算;S6.4: Update the optimal position of individual particles and the group, check whether the algorithm has reached the maximum number of iterations, and if so, output the optimal kernel extreme learning machine parameters; if not, return to S6.2 and continue the next iteration operation;

S7:构建线路故障模态分解熵与量子变异多元宇宙优化核极限学习机预测分类模型,判别出输电线路短路故障类型。S7: Construct a prediction and classification model of line fault modal decomposition entropy and quantum mutation multiverse optimized nuclear extreme learning machine to identify the type of transmission line short-circuit fault.

本实施例中,为了验证在不同故障相角情况下采用对输电线路的几种典型短路故障进行有效的识别,因此选取输电线路在发生单相接地短路、两相短路、两相接地短路以及三相短路的短路故障电压数据;对于每种故障类型选取30组样本数据,共120组数据,并采集故障相角分别为0°、30°、45°、60°情况下的4种短路电压信号各1000个数据点,采样频率为10KHz;利用VMD算法将故障电压信号分别分解为不同故障相角下不同频段的模态分量,然后再利用排列熵算法来提取各个模态分量的故障特征,构成一个数据样本,可以得到每种故障相角情况下的特征量样本为120个;在120个样本中选取40个作为训练样本,剩余80个样本作为测试样本,来对输电线路的4种典型短路故障在不同故障相角的条件下进行辨识,其最终的辨识结果如表1所示下面给出这4种短路故障类型的预测结果。In this embodiment, in order to verify the effective identification of several typical short-circuit faults of the transmission line under different fault phase angles, the short-circuit fault voltage data of the transmission line when single-phase ground short circuit, two-phase short circuit, two-phase ground short circuit and three-phase short circuit occur are selected; 30 groups of sample data are selected for each fault type, a total of 120 groups of data, and 1000 data points of each of the four short-circuit voltage signals under the conditions of fault phase angles of 0°, 30°, 45° and 60° are collected, and the sampling frequency is 10KHz; the VMD algorithm is used to identify the fault The voltage signal is decomposed into modal components of different frequency bands under different fault phase angles, and then the permutation entropy algorithm is used to extract the fault features of each modal component to form a data sample. 120 feature samples can be obtained under each fault phase angle. 40 samples are selected as training samples from the 120 samples, and the remaining 80 samples are used as test samples to identify the four typical short-circuit faults of the transmission line under different fault phase angles. The final identification results are shown in Table 1. The prediction results of these four short-circuit fault types are given below.

表1 4种短路故障类型的预测结果Table 1 Prediction results of four short-circuit fault types

由表1中可以看出,提取到的80个故障特征量经过量子变异多元宇宙优化核极限学习机辨识模型后,在故障相角为0°时,单相接地短路中没有发生误判,两相短路中有1个发生误判,两相接地短路中有1个发生误判,三相短路中也有1个发生了误判,其中4种短路故障的辨识率依次达到了100%、95%、100%、95%,平均辨识精度也达到了96.25%;同样地,在故障相角分别为30°、45°、60°时,其平均识别精度也分别达到了97.5%、96.25%、97.5%,从而说明在不同故障相角的条件下,其故障的辨识率基本上不受到影响。It can be seen from Table 1 that after the 80 fault feature quantities extracted are identified by the quantum variation multiverse optimization core extreme learning machine identification model, when the fault phase angle is 0°, there is no misjudgment in the single-phase ground short circuit, 1 misjudgment in the two-phase short circuit, 1 misjudgment in the two-phase ground short circuit, and 1 misjudgment in the three-phase short circuit. The recognition rates of the four short-circuit faults reach 100%, 95%, 100%, and 95% respectively, and the average recognition accuracy also reaches 96.25%; similarly, when the fault phase angles are 30°, 45°, and 60°, respectively, the average recognition accuracy also reaches 97.5%, 96.25%, and 97.5%, respectively, which shows that under the conditions of different fault phase angles, the fault recognition rate is basically not affected.

Claims (3)

1.一种量子变异多元宇宙优化的供电线路故障辨识方法,其特征在于,包括以下步骤:1. A method for identifying power line faults based on quantum variation multiverse optimization, characterized in that it comprises the following steps: S1:收集输电线路故障电压信号;S1: Collecting transmission line fault voltage signals; S2:对故障电压信号进行变分模态分解;选取变分模态分解后的模态分量瞬时频率的均值,绘制标准化瞬时频率均值曲线,得到变分模态分解算法中最优的K值;S2: performing variational modal decomposition on the fault voltage signal; selecting the mean of the instantaneous frequency of the modal component after variational modal decomposition, drawing a standardized instantaneous frequency mean curve, and obtaining the optimal K value in the variational modal decomposition algorithm; S3:利用变分模态分解方法对故障电压信号进行分解,得到K个本征模态分量;再利用排列熵计算各个本征模态分量的多尺度熵值;S3: Decompose the fault voltage signal using the variational mode decomposition method to obtain K intrinsic mode components; then use the permutation entropy to calculate the multi-scale entropy value of each intrinsic mode component; S4:将计算得到的各本征模态分量的排列熵值组成特征向量;S4: The calculated permutation entropy values of each eigenmode component are used to form a eigenvector; S5:在标准多元宇宙优化算法中采用量子粒子群算法,引入粒子平均最优位置Av(t);引入柯西-高斯变异策略构建量子变异多元宇宙优化算法;S5: The quantum particle swarm algorithm is used in the standard multiverse optimization algorithm, and the average optimal position of particles Av(t) is introduced; the Cauchy-Gauss mutation strategy is introduced to construct the quantum mutation multiverse optimization algorithm; S6:利用量子变异多元宇宙算法优化核极限学习机的正则化系数和核函数参数;S6: Optimize the regularization coefficient and kernel function parameters of the kernel extreme learning machine using the quantum mutation multiverse algorithm; S7:根据特征向量和优化后的核极限学习机的正则化系数和核函数参数,构建线路故障模态分解熵与量子变异多元宇宙优化核极限学习机预测分类模型,判别出输电线路短路故障类型;S7: According to the feature vector and the regularization coefficient and kernel function parameters of the optimized kernel extreme learning machine, a line fault modal decomposition entropy and quantum mutation multiverse optimized kernel extreme learning machine prediction and classification model is constructed to identify the type of transmission line short circuit fault; 所述引入粒子平均最优位置Av(t)的具体过程为:The specific process of introducing the average optimal position of particles Av(t) is as follows: 将量子粒子群算法引入多元宇宙优化算法中,设定每一个粒子都具有量子行为,对于粒子i,其吸引势子表示为pi(pi,1,pi,2,…,pi,n),考虑到粒子位置xi,j随时间变化由波函数描述其状态,则N维搜索空间基于δ势阱的量子粒子群算法中粒子进化方程如式(4)所示:The quantum particle swarm algorithm is introduced into the multiverse optimization algorithm. Each particle is assumed to have quantum behavior. For particle i, its attractive potential is represented by p i (p i,1 ,p i,2 ,…,p i,n ). Considering that the particle position x i,j changes with time and its state is described by the wave function, the particle evolution equation in the quantum particle swarm algorithm based on the δ potential well in the N-dimensional search space is shown in formula (4): 其中,pi,j表示吸引势子pi在j维的坐标,Li,j为特征搜索长度,ui,j~U(0,1)为均匀分布的随机数;在算法中引入粒子平均最优位置Av(t),表示所有粒子最优位置的平均值Li,j=2γ·|Avj(t)-xi,j(t)|,式(4)变更为如式(5)所示:Among them, pi ,j represents the coordinates of the attractor pi in the j dimension, Li ,j is the characteristic search length, and ui ,j ~U(0,1) are uniformly distributed random numbers; the average optimal position of particles Av(t) is introduced in the algorithm, which represents the average value of the optimal positions of all particles Li,j = 2γ·| Avj (t)-xi ,j (t)|, equation (4) is changed to equation (5): 其中,γ表示收缩-扩张因子;Where γ represents the contraction-expansion factor; 所述引入柯西-高斯变异策略构建量子变异多元宇宙优化算法的具体过程为:The specific process of introducing the Cauchy-Gauss mutation strategy to construct a quantum mutation multiverse optimization algorithm is as follows: 采用柯西-高斯变异策略,选择当前适应度最好的个体进行变异,然后比较其变异前后的位置,选择最优的位置代入下一次迭代,如式(6)-(8)所示:The Cauchy-Gauss mutation strategy is adopted to select the individual with the best current fitness for mutation, and then compare its position before and after mutation, and select the optimal position to substitute for the next iteration, as shown in equations (6)-(8): λ2Gauss(0,σ2)] (7)λ 2 Gauss(0,σ 2 )] (7) 其中,表示最优个体变异后的位置;σ2表示柯西-高斯变异策略的标准差;cauchy(0,σ2)是满足柯西分布的随机变量;Gaus(s0,σ2)是满足高斯分布的随机变量;其中,t表示当前迭代次数,Tmax表示最大迭代次数,λ1、λ2是随迭代次数自适应调整的动态参数;in, represents the position of the optimal individual after mutation; σ 2 represents the standard deviation of the Cauchy-Gaussian mutation strategy; cauchy(0,σ 2 ) is a random variable that satisfies the Cauchy distribution; Gaus(s0,σ2) is a random variable that satisfies the Gaussian distribution; and Wherein, t represents the current number of iterations, T max represents the maximum number of iterations, and λ 1 and λ 2 are dynamic parameters that are adaptively adjusted with the number of iterations; 所述S6的具体过程,包括以下步骤:The specific process of S6 includes the following steps: S6.1:随机生成初始化位置,形成初始搜索种群;S6.1: Randomly generate initial positions to form an initial search population; S6.2:为改进原生多元宇宙算法性能,引入量子粒子群算法,加快收敛速度;S6.2: In order to improve the performance of the native multiverse algorithm, the quantum particle swarm algorithm is introduced to accelerate the convergence speed; S6.3:采用柯西-高斯变异策略,选择当前适应度最好的个体进行变异,使算法跳出局部最优;S6.3: Use the Cauchy-Gauss mutation strategy to select the individual with the best current fitness for mutation, so that the algorithm can jump out of the local optimum; S6.4:更新粒子个体及群体最优位置,检查算法是否达到最大迭代次数,若达到最大迭代次数,则输出最优核极限学习机参数;若不满足最大迭代次数,则返回S6.2,继续进行下一次迭代运算。S6.4: Update the optimal positions of individual particles and the group, check whether the algorithm has reached the maximum number of iterations, and if so, output the optimal kernel extreme learning machine parameters; if not, return to S6.2 and continue with the next iterative operation. 2.如权利要求1所述的量子变异多元宇宙优化的供电线路故障辨识方法,其特征在于,所述多元宇宙优化算法运行方式如式(1)所示:2. The method for identifying power line faults based on quantum variation multiverse optimization according to claim 1, wherein the multiverse optimization algorithm operates as shown in formula (1): 其中,Xj为目前最优宇宙的第j个变量ubj为第j个变量最大值,lbj为第j个変量最小值,为第i个宇宙的第j个变量,r2,r3,r4均为介于0和1的随机数;Among them, Xj is the jth variable of the current optimal universe, ubj is the jth maximum value of the variable, and lbj is the jth minimum value of the variable. is the jth variable of the i-th universe, r 2 , r 3 , r 4 are all random numbers between 0 and 1; WEP表示虫洞存在可能性系数,如式(2)所示:WEP represents the probability coefficient of wormhole existence, as shown in formula (2): 其中,min为WEP最小值;max为WEP最大值;l为当前迭代次数;L为最大迭代次数;Where min is the minimum WEP value; max is the maximum WEP value; l is the current iteration number; L is the maximum iteration number; TDR表示旅程距离速率系数,如式(3)所示TDR represents the travel distance rate coefficient, as shown in formula (3) 其中,p定义了随迭代次数改变的探测速度,p值越高,局部探测速度越快,用时越短。Among them, p defines the detection speed that changes with the number of iterations. The higher the p value, the faster the local detection speed and the shorter the time. 3.如权利要求1所述的量子变异多元宇宙优化的供电线路故障辨识方法,其特征在于,所述λ1、λ2在寻优过程中,λ1逐渐减小,λ2逐渐增大。3. The method for identifying power supply line faults using quantum mutation multiverse optimization according to claim 1, wherein during the optimization process of λ 1 and λ 2 , λ 1 gradually decreases and λ 2 gradually increases.
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