CN117269660A - Fault arc detection method and system based on variation coefficient difference algorithm - Google Patents
Fault arc detection method and system based on variation coefficient difference algorithm Download PDFInfo
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Abstract
本发明公开一种基于变异系数差分算法的故障电弧检测方法及系统,方法包括采集待测线路的电流信号;根据所述电流信号,获得变异系数二阶差分值样本序列;对所述二阶差分值样本序列进行小波分解,并对分解结果进行降噪处理,得到降噪后系数;基于所述降噪后系数,计算自适应阈值;基于所述自适应阈值进行故障电弧检测。本发明克服了传统算法在故障检测中无法实时自适应阈值造成的准确率低以及漏报、错报多的情况,进而提升检测的可靠性。
The invention discloses a fault arc detection method and system based on a coefficient of variation differential algorithm. The method includes collecting the current signal of the line to be tested; obtaining a sample sequence of second-order differential value of the coefficient of variation according to the current signal; The differential value sample sequence is subjected to wavelet decomposition, and the decomposition results are denoised to obtain denoised coefficients; an adaptive threshold is calculated based on the denoised coefficients; arc fault detection is performed based on the adaptive threshold. The invention overcomes the low accuracy and many false positives and false positives caused by the inability of the traditional algorithm to adapt the threshold in real time during fault detection, thereby improving the reliability of detection.
Description
技术领域Technical field
本发明涉及电弧检测技术领域,具体涉及一种基于变异系数差分算法的故障电弧检测方法及系统。The invention relates to the technical field of arc detection, and in particular to a fault arc detection method and system based on a coefficient of variation differential algorithm.
背景技术Background technique
由于配电系统线路的破损、老化及衔接松动等因素引发的故障电弧可以造成局部的高温,极易引发电气火灾甚至爆炸,因此故障电弧是电气火灾最主要诱因之一。电弧的中心温度可高达5000K到15000K,且一旦出现击穿点则会频繁出现电弧。因此,电气火灾所导致的火灾事故一般都较为严重,尽可能避免电气火灾的发生是一件意义重大的事。Arc faults caused by factors such as damage, aging, and loose connections of power distribution system lines can cause local high temperatures, which can easily lead to electrical fires or even explosions. Therefore, arc faults are one of the main causes of electrical fires. The core temperature of the arc can be as high as 5000K to 15000K, and once a breakdown point occurs, arcs will occur frequently. Therefore, fire accidents caused by electrical fires are generally more serious, and it is of great significance to avoid the occurrence of electrical fires as much as possible.
为了预防故障电弧引起的火灾,通常会采用故障电弧检测技术进行故障电弧的检测,目前市场上大多数的故障电弧探测器采用的是基于特征向量阈值监测的故障电弧检测方法。但探测器设定的特征阈值一般为固定阈值,当该特征阈值设定过高,进行电弧故障检测时,会出现检测失效的情况;若是特征阈值设定过低,又会出现误报的情况。针对实际用电场景的多种类型负载设定合适的特征阈值显然困难重重,因此,故障电弧探测器设定的特征阈值如果采用自适应阈值策略的话就显得十分恰当且重要。In order to prevent fires caused by arc faults, arc fault detection technology is usually used to detect arc faults. Most arc fault detectors currently on the market use arc fault detection methods based on feature vector threshold monitoring. However, the characteristic threshold set by the detector is generally a fixed threshold. When the characteristic threshold is set too high, detection failure will occur during arc fault detection; if the characteristic threshold is set too low, false alarms will occur. . It is obviously difficult to set appropriate characteristic thresholds for various types of loads in actual power consumption scenarios. Therefore, it is very appropriate and important to adopt an adaptive threshold strategy for the characteristic thresholds set by arc fault detectors.
相关技术中,公布号为CN109061414A的专利申请文献中提出基于小波变换和奇异值分解(SVD)的组合故障检测方法来检测故障电弧信号;该方案适用于直流系统,且从奇异值角度分析小波系数,与交流系统的表现形式不一致。In related technology, the patent application document with publication number CN109061414A proposes a combined fault detection method based on wavelet transform and singular value decomposition (SVD) to detect fault arc signals; this solution is suitable for DC systems, and the wavelet coefficients are analyzed from the perspective of singular values , inconsistent with the representation of the communication system.
公布号为CN112162172A的专利申请文献中在虚拟能量指标的统计信息的基础上,建立了周期波动指标和动态阈值,以及故障判别方法和动态阈值更新算法;该方案立足于最大值、最小值、均值和方差等指标建立的虚拟能量指标。In the patent application document with publication number CN112162172A, based on the statistical information of virtual energy indicators, periodic fluctuation indicators and dynamic thresholds, as well as fault identification methods and dynamic threshold update algorithms are established; this solution is based on the maximum value, minimum value, and mean value. Virtual energy indicators established by indicators such as variance and variance.
发明内容Contents of the invention
本发明所要解决的技术问题在于如何提高故障电弧检测的可靠性。The technical problem to be solved by the present invention is how to improve the reliability of fault arc detection.
本发明通过以下技术手段解决上述技术问题的:The present invention solves the above technical problems through the following technical means:
第一方面,本发明提出了一种基于变异系数差分算法的故障电弧检测方法,所述方法包括:In a first aspect, the present invention proposes an arc fault detection method based on a coefficient of variation differential algorithm. The method includes:
采集待测线路的电流信号;Collect the current signal of the line under test;
根据所述电流信号,获得变异系数二阶差分值样本序列;According to the current signal, a sample sequence of second-order difference coefficients of variation values is obtained;
对所述二阶差分值样本序列进行小波分解,并对分解结果进行降噪处理,得到降噪后系数;Perform wavelet decomposition on the second-order difference value sample sequence, and perform denoising processing on the decomposition results to obtain denoised coefficients;
基于所述降噪后系数,计算自适应阈值;Based on the denoised coefficients, calculate an adaptive threshold;
基于所述自适应阈值进行故障电弧检测。Arc fault detection is performed based on the adaptive threshold.
进一步地,所述根据所述电流信号,获得变异系数二阶差分值样本序列,包括:Further, obtaining a sample sequence of second-order difference coefficients of variation according to the current signal includes:
提取所述电流信号每半周期的变异系数;Extract the coefficient of variation of each half cycle of the current signal;
基于当前半周期的变异系数和下一半周期的变异系数,计算当前半周期的一阶差分值;Based on the coefficient of variation of the current half-cycle and the coefficient of variation of the next half-cycle, calculate the first-order difference value of the current half-cycle;
基于当前半周期的一阶差分值和下一半周期的一阶差分值,计算当前半周期的二阶差分值;Based on the first-order difference value of the current half-cycle and the first-order difference value of the next half-cycle, calculate the second-order difference value of the current half-cycle;
将各半周期的二阶差分值构成所述二阶差分值样本序列。The second-order difference values of each half-cycle constitute the second-order difference value sample sequence.
进一步地,所述对所述二阶差分值样本序列进行小波分解,并对分解结果进行降噪处理,得到降噪后系数,包括:Further, the second-order differential value sample sequence is subjected to wavelet decomposition, and the decomposition results are denoised to obtain denoised coefficients, including:
对所述二阶差分值样本序列进行小波分解,得到近似系数和高频细节系数;Perform wavelet decomposition on the second-order difference value sample sequence to obtain approximate coefficients and high-frequency detail coefficients;
对所述高频细节系数进行硬阈值小波降噪处理,得到降噪后系数。The high-frequency detail coefficients are subjected to hard-threshold wavelet noise reduction processing to obtain denoised coefficients.
进一步地,所述对所述高频细节系数进行硬阈值小波降噪处理,得到降噪后系数,包括:Further, the high-frequency detail coefficients are subjected to hard threshold wavelet denoising processing to obtain denoised coefficients, including:
在所述高频细节系数的绝对值大于给定的通用阈值λ时,所述高频细节系数的系数不变;When the absolute value of the high-frequency detail coefficient is greater than a given universal threshold λ, the coefficient of the high-frequency detail coefficient remains unchanged;
在所述高频细节系数的绝对值小于或等于给定的通用阈值λ时,所述高频细节系数的系数置零;When the absolute value of the high-frequency detail coefficient is less than or equal to a given universal threshold λ, the coefficient of the high-frequency detail coefficient is set to zero;
其中,所述通用阈值σ是细节分量的系数的标准差,nD为细节分量的系数的个数。Wherein, the general threshold σ is the standard deviation of the coefficients of the detail component, and n D is the number of coefficients of the detail component.
进一步地,所述基于所述降噪后系数,计算自适应阈值,包括:Further, calculating an adaptive threshold based on the denoised coefficient includes:
对所述降噪后系数进行小波重构,获得与所述电流信号长度一致的一段离散序列;Perform wavelet reconstruction on the denoised coefficients to obtain a discrete sequence consistent with the length of the current signal;
将所述离散序列的信息熵作为电弧故障因子;Use the information entropy of the discrete sequence as the arc fault factor;
基于所述降噪后系数重构后的系数,计算负载适应因子;Calculate the load adaptation factor based on the reconstructed coefficients after the noise reduction;
根据所述电弧故障因子、所述负载适应因子以及经验自修正因子,计算所述自适应阈值。The adaptive threshold is calculated based on the arc fault factor, the load adaptation factor and the empirical self-correction factor.
进一步地,所述电弧故障因子的公式表示为:Further, the formula of the arc fault factor is expressed as:
式中:AFF为电弧故障因子,表示第i个/>序列的值,nD表示/>序列中系数的个数,/>表示所述离线序列。In the formula: AFF is the arc fault factor, Represents the i-th/> The value of the sequence, n D represents/> The number of coefficients in the sequence,/> Represents the offline sequence.
进一步地,所述负载适应因子的公式表示为:Further, the formula of the load adaptation factor is expressed as:
式中:LAF为负载适应因子,di为所述电流信号的第三层细节系数降噪后再重构的系数,i=1,2,…,N。In the formula: LAF is the load adaptation factor, di is the coefficient reconstructed after noise reduction of the third layer detail coefficient of the current signal, i=1, 2,...,N.
进一步地,所述自适应阈值的公式表示为:Further, the formula of the adaptive threshold is expressed as:
thd=k·AFF·LAFthd=k·AFF·LAF
式中:thd为自适应阈值,AFF为电弧故障因子,LAF为负载适应因子,k为经验自修正因子。In the formula: thd is the adaptive threshold, AFF is the arc fault factor, LAF is the load adaptation factor, and k is the empirical self-correction factor.
进一步地,所述基于所述自适应阈值进行故障电弧检测,包括:Further, the arc fault detection based on the adaptive threshold includes:
当一个检测周期的实时阈值t大于等于所述自适应阈值时,确定发生串联故障电弧;When the real-time threshold t of a detection period is greater than or equal to the adaptive threshold, it is determined that a series fault arc occurs;
当一个检测周期的实时阈值t小于所述自适应阈值时,确定未发生串联故障电弧。When the real-time threshold t of one detection period is less than the adaptive threshold, it is determined that a series fault arc does not occur.
第二方面,本发明还提出了一种基于变异系数差分算法的故障电弧检测系统,所述系统包括:In a second aspect, the present invention also proposes an arc fault detection system based on the coefficient of variation differential algorithm. The system includes:
采集模块,用于采集待测线路的电流信号;Acquisition module, used to collect the current signal of the line under test;
特征提取模块,用于根据所述电流信号,获得变异系数二阶差分值样本序列;A feature extraction module, configured to obtain a sample sequence of second-order difference coefficients of variation according to the current signal;
分解降噪模块,用于对所述二阶差分值样本序列进行小波分解,并对分解结果进行降噪处理,得到降噪后系数;A decomposition and noise reduction module, used to perform wavelet decomposition on the second-order differential value sample sequence, and perform denoising processing on the decomposition results to obtain denoised coefficients;
阈值计算模块,用于基于所述降噪后系数,计算自适应阈值;A threshold calculation module, configured to calculate an adaptive threshold based on the denoised coefficient;
检测模块,用于基于所述自适应阈值进行故障电弧检测。A detection module configured to perform arc fault detection based on the adaptive threshold.
本发明的优点在于:The advantages of the present invention are:
(1)本发明提取电流信号的变异系数二阶差分值样本序列作为故障特征值,并对二阶差分值样本序列进行小波分解及降噪处理,得到降噪后的系数,从而根据降噪后的系数确定自适应阈值,最后利用自适应阈值检测故障电弧;本发明采用了变异系数差分算法、自适应阈值、小波分解重构及降噪相结合的技术手段,克服了传统算法在故障检测中无法实时自适应阈值造成的准确率低以及漏报、错报多的情况,进而提升检测的可靠性。(1) The present invention extracts the second-order difference value sample sequence of the variation coefficient of the current signal as the fault characteristic value, and performs wavelet decomposition and noise reduction processing on the second-order difference value sample sequence to obtain the denoised coefficient, thereby according to the noise reduction The final coefficient determines the adaptive threshold, and finally uses the adaptive threshold to detect fault arc; the present invention adopts a technical means that combines the variation coefficient difference algorithm, adaptive threshold, wavelet decomposition and reconstruction and noise reduction to overcome the traditional algorithm in fault detection. The inability to adapt the threshold in real time causes low accuracy and many false negatives and false positives, thereby improving the reliability of detection.
本发明附加的方面和优点将在下面的描述中部分给出,部分将从下面的描述中变得明显,或通过本发明的实践了解到。Additional aspects and advantages of the invention will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention.
附图说明Description of the drawings
图1是本发明实施例提出的基于变异系数差分算法的故障电弧检测方法的流程示意图;Figure 1 is a schematic flow chart of the arc fault detection method based on the coefficient of variation differential algorithm proposed by the embodiment of the present invention;
图2是本发明实施例中小波分解原理示意图;Figure 2 is a schematic diagram of the principle of wavelet decomposition in an embodiment of the present invention;
图3是本发明实施例中小波重构原理示意图;Figure 3 is a schematic diagram of the principle of wavelet reconstruction in the embodiment of the present invention;
图4是本发明实施例示出的小波变换检测阻性负载电流的情况图;Figure 4 is a diagram showing the situation of detecting resistive load current by wavelet transform according to an embodiment of the present invention;
图5是本发明实施例示出的正常和电弧条件下电阻性负载的电流信号和序列示意图;Figure 5 is a schematic diagram of the current signal and sequence of a resistive load under normal and arc conditions according to an embodiment of the present invention;
图6是本发明实施例示出的电阻性负载的电流信号在正常和电弧条件下的电弧故障因子AFF;Figure 6 shows the arc fault factor AFF of the current signal of the resistive load under normal and arc conditions according to an embodiment of the present invention;
图7是本发明实施例示出的电阻性负载的电流信号在正常和电弧条件下的负载适应因子LAF;Figure 7 is the load adaptation factor LAF of the current signal of the resistive load under normal and arc conditions according to the embodiment of the present invention;
图8是本发明实施例示出的电阻性负载的电流信号在正常和电弧条件下的自适应阈值thd;Figure 8 shows the adaptive threshold thd of the current signal of the resistive load under normal and arc conditions according to an embodiment of the present invention;
图9是本发明实施例示出的试验平台示意图;Figure 9 is a schematic diagram of the test platform shown in the embodiment of the present invention;
图10是本发明实施例提出的基于变异系数差分算法的故障电弧检测系统的结构示意图。FIG. 10 is a schematic structural diagram of an arc fault detection system based on the coefficient of variation differential algorithm proposed by an 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,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作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 embodiments of the present invention. Obviously, the described embodiments are part of the present invention. Examples, not all examples. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without making creative efforts fall within the scope of protection of the present invention.
如图1所示,本发明第一实施例提出了一种基于变异系数差分算法的故障电弧检测方法,所述方法包括以下步骤:As shown in Figure 1, the first embodiment of the present invention proposes a fault arc detection method based on the coefficient of variation differential algorithm. The method includes the following steps:
S10、采集待测线路的电流信号;S10. Collect the current signal of the line under test;
需要说明的是,在进行设备初始化后,获取设备实时电流信号时,可通过外部电路获取任意负载电路中的电流信号作为待测信号。It should be noted that after initializing the device, when obtaining the real-time current signal of the device, the current signal in any load circuit can be obtained through an external circuit as the signal to be measured.
S20、根据所述电流信号,获得变异系数二阶差分值样本序列;S20. According to the current signal, obtain a sample sequence of second-order difference values of the coefficient of variation;
S30、对所述二阶差分值样本序列进行小波分解,并对分解结果进行降噪处理,得到降噪后系数;S30. Perform wavelet decomposition on the second-order difference value sample sequence, and perform denoising processing on the decomposition results to obtain denoised coefficients;
S40、基于所述降噪后系数,计算自适应阈值;S40. Calculate the adaptive threshold based on the denoised coefficient;
S50、基于所述自适应阈值进行故障电弧检测。S50. Perform arc fault detection based on the adaptive threshold.
本实施例针对交流系统,从小波系数体现的离散性与变异性和故障电弧之间的关联出发的,以变异系数表征故障电弧,采用了变异系数差分算法、自适应阈值、小波分解重构及降噪相结合的技术手段,克服了传统算法在故障检测中无法实时自适应阈值造成的准确率低以及漏报、错报多的情况,进而提升检测的可靠性。This embodiment is aimed at the AC system, starting from the correlation between the discreteness and variability reflected by the wavelet coefficient and the fault arc, using the variation coefficient to represent the fault arc, using the variation coefficient difference algorithm, adaptive threshold, wavelet decomposition and reconstruction and The technical means combined with noise reduction overcomes the low accuracy and many false negatives and false positives caused by the inability of the traditional algorithm to adapt the threshold in real time during fault detection, thus improving the reliability of detection.
在一实施例中,所述步骤S20:根据所述电流信号,获得变异系数二阶差分值样本序列,包括以下步骤:In one embodiment, the step S20: Obtaining a sample sequence of second-order difference coefficients of variation according to the current signal includes the following steps:
S21、提取所述电流信号每半周期的变异系数;S21. Extract the coefficient of variation of each half cycle of the current signal;
具体地,假设A个相邻周期的等间隔采样值检测,每个周期由B个采样点组成。计算待测信号的每半周期的点数公式表示为:/>其中,Fs为采样频率,f为50Hz。Specifically, assume that A consecutive periods of equally spaced sampling value detection are performed, and each period is composed of B sampling points. Calculate the number of points in each half cycle of the signal under test The formula is expressed as:/> Among them, F s is the sampling frequency, and f is 50Hz.
计算第m个半周期的变异系数其中,/>为每半周期系数的标准差,/>为每半周期系数取绝对值后的平均值,x(i)为小波系数,N为小波系数总数。Calculate the coefficient of variation of the mth half-cycle Among them,/> is the standard deviation of the coefficient for each half period,/> is the average value of the absolute value of each half-cycle coefficient, x(i) is the wavelet coefficient, and N is the total number of wavelet coefficients.
S22、基于当前半周期的变异系数和下一半周期的变异系数,计算当前半周期的一阶差分值;S22. Based on the coefficient of variation of the current half period and the coefficient of variation of the next half period, calculate the first-order difference value of the current half period;
具体地,第m个半周期的变异系数的一阶差分值C·V(1)(m)=|C·V(m+1)-C·V(m)|。Specifically, the first-order difference value of the coefficient of variation of the m-th half period C·V (1) (m)=|C·V(m+1)-C·V(m)|.
S23、基于当前半周期的一阶差分值和下一半周期的一阶差分值,计算当前半周期的二阶差分值;S23. Calculate the second-order difference value of the current half-cycle based on the first-order difference value of the current half-cycle and the first-order difference value of the next half-cycle;
具体地,第m个半周期的变异系数的二阶差分值C·V(2)(m)=|C·V(1)(m+1)-C·V(1)(m)|。Specifically, the second-order difference value of the coefficient of variation of the m-th half period C·V (2) (m)=|C·V (1) (m+1)-C·V (1) (m)|.
S24、将各半周期的二阶差分值构成所述二阶差分值样本序列,用D(2)表示。S24. Constitute the second-order difference value sample sequence of each half-cycle into the second-order difference value sample sequence, which is represented by D (2) .
需要说明的是,变异系数差分算法(DACV)是一种基于电弧电信号和差分算法的低压串联故障电弧检测算法。为了避免降噪等预处理手段对源信号带来的潜在破坏影响,保持源信号的纯净性,DACV选择优先对采集到的源信号直接进行故障特征提取,在后续处理上再利用降噪等信号处理技术进行数据增强。本实施例中DACV需要考虑C·V及其一阶、二阶差分值的大小,作为判断串联故障电弧是否发生的标准。It should be noted that the differential coefficient of variation algorithm (DACV) is a low-voltage series fault arc detection algorithm based on arc electrical signals and differential algorithms. In order to avoid the potential damaging effects of pre-processing methods such as noise reduction on the source signal and maintain the purity of the source signal, DACV chooses to give priority to directly extracting fault features from the collected source signal, and then reuse noise reduction and other signals in subsequent processing. Processing techniques for data enhancement. In this embodiment, DACV needs to consider the magnitude of C·V and its first-order and second-order difference values as a criterion for determining whether a series fault arc occurs.
需要说明的是,Daubechies小波族拥有大量的消失矩,可高质量提取局部信号扰动。通过对比各类小波提取故障电弧的表现,本实施例优先选用紧支撑且正交的db4小波。为了研究小波变换对故障电弧的表现能力,本实施例进行了如下实验,如图4所示是小波变换检测阻性负载电流的情况,d3为经小波分解后再重构得到的高频细节信号系数。其中小波分解及重构的原理过程分别见图2和图3。It should be noted that the Daubechies wavelet family has a large number of vanishing moments and can extract local signal disturbances with high quality. By comparing the performance of various wavelets in extracting fault arcs, this embodiment gives priority to the tightly supported and orthogonal db4 wavelet. In order to study the ability of wavelet transform to represent fault arcs, this embodiment conducted the following experiments. Figure 4 shows the detection of resistive load current by wavelet transform. d3 is the high-frequency detailed signal obtained after wavelet decomposition and reconstruction. coefficient. The principle process of wavelet decomposition and reconstruction is shown in Figure 2 and Figure 3 respectively.
由图4可以发现,高频细节系数d3中有着明显波动的地方正好对应故障电弧发生的阶段。换言之,d3能够准确捕捉故障电弧。当发生故障电弧时的某些高频细节系数相对正常工况下在数值上有着显著地提升。可以预料的是,基于高频细节系数d3提取的故障电弧指示特征对于故障电弧应该有着不错的表征效果,但仍需进一步的分析。It can be found from Figure 4 that the places with obvious fluctuations in the high-frequency detail coefficient d3 correspond to the stage of arc fault occurrence. In other words, d3 can accurately capture fault arc. When an arc fault occurs, some high-frequency detail coefficients are significantly improved in value compared to normal working conditions. It can be expected that the fault arc indication features extracted based on the high-frequency detail coefficient d3 should have a good representation effect on the fault arc, but further analysis is still needed.
考虑到市场上现有的故障发生装置及试验平台难以稳定进行频繁试验,本实施例还搭建符合美国标准UL 1699以及国标GB14287.4的实验平台,如图9所示,包括电源、断路器、电流互感器、数据采集卡、PC机、故障电弧发生器以及各类实验负载。Considering that the existing fault-generating devices and test platforms on the market are difficult to stably conduct frequent tests, this embodiment also builds an experimental platform that complies with the American standard UL 1699 and the national standard GB14287.4, as shown in Figure 9, including a power supply, a circuit breaker, Current transformers, data acquisition cards, PCs, fault arc generators and various experimental loads.
采用数据采集卡以及电流互感器采集相关电流数据,采样频率Fs为50KHz,并考虑了不同类型负载的情况。第n个细节信号的频带为(Fs/2n+1,Fs/2n),相应地第n个近似信号的频带即为(0,Fs/2n+1)。在正常和电弧状态下采集电流样本,保存在PC上并进行预处理和实施SAF检测策略。Data acquisition cards and current transformers are used to collect relevant current data. The sampling frequency Fs is 50KHz, and different types of loads are taken into consideration. The frequency band of the n-th detail signal is (Fs/2n+1, Fs/2n), and correspondingly the frequency band of the n-th approximate signal is (0, Fs/2n+1). Collect current samples under normal and arc conditions, save them on the PC and perform preprocessing and implement SAF detection strategies.
需要说明的是,不同工况(正常工作以及发生故障电弧)以及不同负载下的电流数据是通过调节故障电弧发生器的夹持间隙来控制电弧的产生与否和连接不同类型电器进行实验得到的。It should be noted that the current data under different working conditions (normal operation and arc fault) and different loads are obtained by adjusting the clamping gap of the fault arc generator to control the generation of arc and conducting experiments by connecting different types of electrical appliances. .
进一步地,本实施例采用的串联故障电弧条件为两个基本周期内出现四个峰值。2个基本周期对应4个半周期,即4个C·V样本,3个C·V(1),2个C·V(2)。为了使条件适配本申请所述变异系数差分算法,本申请将原始信号的四个连续周期输入,以获得6个C·V(2)样本,并假设故障条件对应80ms内发生C·V、C·V(1)、C·V(2)联合发生的至少四个峰值事件。Furthermore, the series fault arc condition used in this embodiment is four peaks occurring within two basic periods. 2 basic cycles correspond to 4 half-cycles, that is, 4 C·V samples, 3 C·V (1) , and 2 C·V (2) . In order to adapt the conditions to the variation coefficient difference algorithm described in this application, this application inputs four consecutive periods of the original signal to obtain 6 C·V (2) samples, and assumes that the fault condition corresponds to the occurrence of C·V, At least four peak events that occur jointly between C·V (1) and C·V (2) .
进一步地,基于本申请的阻性负载下正常和电弧条件下电阻性负载的电流信号和序列C·V,C·V(1),C·V(2)如图5所示。Further, based on the resistive load of this application, the current signals and sequences C·V, C·V (1) , C·V (2) of the resistive load under normal and arc conditions are shown in Figure 5.
在一实施例中,S30、对所述二阶差分值样本序列进行小波分解,并对分解结果进行降噪处理,得到降噪后系数,包括以下步骤:In one embodiment, S30: Perform wavelet decomposition on the second-order differential value sample sequence, and perform denoising processing on the decomposition results to obtain denoised coefficients, including the following steps:
S31、对所述二阶差分值样本序列进行小波分解,得到近似系数和高频细节系数;S31. Perform wavelet decomposition on the second-order difference value sample sequence to obtain approximate coefficients and high-frequency detail coefficients;
S32、对所述高频细节系数进行硬阈值小波降噪处理,得到降噪后系数。S32. Perform hard threshold wavelet denoising processing on the high-frequency detail coefficients to obtain denoised coefficients.
需要说明的是,若是直接对电流信号进行小波分解,会导致部分细节丢失,不利于提取每半周期的变异系数,因为噪声与故障电弧大多体现在高频细节系数上,若是环境噪声可忽略不计的情况下,因此本实施例优先对样本序列直接提取每半周期的变异系数It should be noted that if the current signal is directly decomposed by wavelet, some details will be lost, which is not conducive to extracting the coefficient of variation of each half cycle, because noise and fault arcs are mostly reflected in high-frequency detail coefficients, and environmental noise can be ignored. Therefore, this embodiment gives priority to directly extracting the coefficient of variation of each half cycle from the sample sequence.
在一实施例中,所述步骤S32:所述对所述高频细节系数进行硬阈值小波降噪处理,得到降噪后系数,包括以下步骤:In one embodiment, step S32: performing hard-threshold wavelet noise reduction processing on the high-frequency detail coefficients to obtain denoised coefficients includes the following steps:
S321、在所述高频细节系数的绝对值大于给定的通用阈值λ时,所述高频细节系数的系数不变;S321. When the absolute value of the high-frequency detail coefficient is greater than the given universal threshold λ, the coefficient of the high-frequency detail coefficient remains unchanged;
S322、在所述高频细节系数的绝对值小于或等于给定的通用阈值λ时,所述高频细节系数的系数置零;S322. When the absolute value of the high-frequency detail coefficient is less than or equal to the given universal threshold λ, the coefficient of the high-frequency detail coefficient is set to zero;
其中,所述通用阈值σ是细节分量的系数的标准差,nD为细节分量的系数的个数。Wherein, the general threshold σ is the standard deviation of the coefficients of the detail component, and n D is the number of coefficients of the detail component.
进一步地,硬阈值函数:Further, the hard threshold function:
其中,x(i)表示小波系数,i=1,...,N。Among them, x(i) represents the wavelet coefficient, i=1,...,N.
本实施例通过对高频细节系数进行通用阈值的小波硬阈值降噪处理,获得近似“不含噪”情况下的一组系数,能够屏蔽绝大多数外部环境带来的干扰。This embodiment performs wavelet hard threshold denoising processing with universal thresholds on high-frequency detail coefficients to obtain a set of coefficients that are approximately "noise-free" and can shield most of the interference caused by the external environment.
在一实施例中,所述步骤S40:基于所述降噪后系数,计算自适应阈值,具体包括以下步骤:In an embodiment, step S40: Calculate an adaptive threshold based on the denoised coefficients, specifically includes the following steps:
S41、对所述降噪后系数进行小波重构,获得与所述电流信号长度一致的一段离散序列,记为 S41. Perform wavelet reconstruction on the denoised coefficients to obtain a discrete sequence consistent with the length of the current signal, recorded as
S42、将所述离散序列的信息熵作为电弧故障因子;S42. Use the information entropy of the discrete sequence as the arc fault factor;
S43、基于所述降噪后系数重构后的系数,计算负载适应因子;S43. Calculate the load adaptation factor based on the reconstructed coefficients after denoising;
S44、根据所述电弧故障因子、所述负载适应因子以及经验自修正因子,计算所述自适应阈值。S44. Calculate the adaptive threshold according to the arc fault factor, the load adaptation factor and the empirical self-correction factor.
在一实施例中,所述电弧故障因子的公式表示为:In one embodiment, the formula of the arc fault factor is expressed as:
式中:AFF为电弧故障因子,表示第i个/>序列的值,nD表示/>序列中系数的个数,/>表示所述离线序列。In the formula: AFF is the arc fault factor, Represents the i-th/> The value of the sequence, n D represents/> The number of coefficients in the sequence,/> Represents the offline sequence.
需要说明的是,AFF表示的是序列的平均不确定水平,是与电弧故障有着一定关联的特征量。It should be noted that AFF represents The average uncertainty level of the sequence is a characteristic quantity that has a certain correlation with arc faults.
在一实施例中,所述负载适应因子的公式表示为:In one embodiment, the formula of the load adaptation factor is expressed as:
式中:LAF为负载适应因子,di为所述电流信号的第三层细节系数降噪后再重构的系数,i=1,2,…,n。In the formula: LAF is the load adaptation factor, di is the coefficient reconstructed after noise reduction of the third layer detail coefficient of the current signal, i=1, 2,...,n.
在一实施例中,所述自适应阈值的公式表示为:In one embodiment, the formula of the adaptive threshold is expressed as:
thd=k·AFF·LAFthd=k·AFF·LAF
式中:thd为自适应阈值,AFF为电弧故障因子,LAF为负载适应因子,k为经验自修正因子。In the formula: thd is the adaptive threshold, AFF is the arc fault factor, LAF is the load adaptation factor, and k is the empirical self-correction factor.
本实施例能够将负载适应因子与故障电弧因子相结合,得到能够适应不同负载条件下的故障区分条件,避免了负载干扰故障电弧的检测。This embodiment can combine the load adaptation factor and the fault arc factor to obtain fault differentiation conditions that can adapt to different load conditions and avoid load interference with the detection of fault arc.
需要说明的是,阻性负载下的AFF、LAF的表征情况如图6、图7所示。给出参考的经验自修正因子k=10-6。于是,可以由公式thd=k·AFF·LAF计算出自适应阈值,阻性负载下的thd表征情况如图8所示。It should be noted that the characterization of AFF and LAF under resistive load is shown in Figure 6 and Figure 7. The reference empirical self-correction factor k=10 -6 is given. Therefore, the adaptive threshold can be calculated according to the formula thd=k·AFF·LAF. The characterization of thd under resistive load is shown in Figure 8.
在一实施例中,所述步骤S50:基于所述自适应阈值进行故障电弧检测,包括以下步骤:In an embodiment, the step S50: performing arc fault detection based on the adaptive threshold includes the following steps:
S51、当一个检测周期的实时阈值t大于等于所述自适应阈值时,确定发生串联故障电弧;S51. When the real-time threshold t of a detection period is greater than or equal to the adaptive threshold, it is determined that a series fault arc has occurred;
S52、当一个检测周期的实时阈值t小于所述自适应阈值时,确定未发生串联故障电弧。S52. When the real-time threshold t of a detection period is less than the adaptive threshold, it is determined that no series fault arc has occurred.
需要说明的是,本实施例基于自适应阈值设置串联故障电弧(SAF)检测策略为当一个检测周期的t值大于等于给定阈值thd时,SAF置1,反之SAF置0。检测策略的公式表示为:ti表示第i个检测周期的t值。It should be noted that the series arc fault (SAF) detection strategy based on adaptive threshold setting in this embodiment is that when the t value of a detection period is greater than or equal to the given threshold thd, SAF is set to 1, otherwise SAF is set to 0. The formula of the detection strategy is expressed as: t i represents the t value of the i-th detection period.
此外,如图10所示,本发明第二实施例提出了一种基于变异系数差分算法的故障电弧检测系统,所述系统包括:In addition, as shown in Figure 10, the second embodiment of the present invention proposes an arc fault detection system based on the coefficient of variation differential algorithm. The system includes:
采集模块10,用于采集待测线路的电流信号;The collection module 10 is used to collect the current signal of the line to be tested;
特征提取模块20,用于根据所述电流信号,获得变异系数二阶差分值样本序列;The feature extraction module 20 is used to obtain a sample sequence of second-order difference coefficients of variation according to the current signal;
分解降噪模块30,用于对所述二阶差分值样本序列进行小波分解,并对分解结果进行降噪处理,得到降噪后系数;The decomposition and noise reduction module 30 is used to perform wavelet decomposition on the second-order differential value sample sequence, and perform denoising processing on the decomposition results to obtain denoised coefficients;
阈值计算模块40,用于基于所述降噪后系数,计算自适应阈值;A threshold calculation module 40, configured to calculate an adaptive threshold based on the denoised coefficient;
检测模块50,用于基于所述自适应阈值进行故障电弧检测。The detection module 50 is configured to perform arc fault detection based on the adaptive threshold.
本实施例采用了变异系数差分算法、自适应阈值、小波分解重构及降噪相结合的技术手段,克服了传统算法在故障检测中无法实时自适应阈值造成的准确率低以及漏报、错报多的情况,进而提升检测的可靠性。This embodiment uses a technical means that combines the variation coefficient difference algorithm, adaptive threshold, wavelet decomposition and reconstruction, and noise reduction to overcome the low accuracy, missed reports, and false positives caused by the inability of the traditional algorithm to adapt the threshold in real time during fault detection. Report too many situations, thereby improving the reliability of detection.
在一实施例中,所述特征提取模块20,具体包括:In one embodiment, the feature extraction module 20 specifically includes:
变异系数提取单元,用于提取所述电流信号每半周期的变异系数;A coefficient of variation extraction unit, used to extract the coefficient of variation of each half cycle of the current signal;
一阶差分计算单元,用于基于当前半周期的变异系数和下一半周期的变异系数,计算当前半周期的一阶差分值;The first-order difference calculation unit is used to calculate the first-order difference value of the current half-cycle based on the coefficient of variation of the current half-cycle and the coefficient of variation of the next half-cycle;
二阶差分计算单元,用于基于当前半周期的一阶差分值和下一半周期的一阶差分值,计算当前半周期的二阶差分值;A second-order difference calculation unit is used to calculate the second-order difference value of the current half-cycle based on the first-order difference value of the current half-cycle and the first-order difference value of the next half-cycle;
样本序列构建单元,用于将各半周期的二阶差分值构成所述二阶差分值样本序列。A sample sequence construction unit is used to construct the second-order difference value sample sequence from the second-order difference values of each half period.
在一实施例中,所述分解降噪模块30,具体包括:In one embodiment, the decomposition and noise reduction module 30 specifically includes:
分解单元,用于对所述二阶差分值样本序列进行小波分解,得到近似系数和高频细节系数;A decomposition unit, used to perform wavelet decomposition on the second-order difference value sample sequence to obtain approximate coefficients and high-frequency detail coefficients;
降噪单元,用于对所述高频细节系数进行硬阈值小波降噪处理,得到降噪后系数。A noise reduction unit is used to perform hard threshold wavelet noise reduction processing on the high-frequency detail coefficients to obtain denoised coefficients.
在一实施例中,所述降噪单元,具体用于执行以下步骤:In one embodiment, the noise reduction unit is specifically configured to perform the following steps:
在所述高频细节系数的绝对值大于给定的通用阈值λ时,所述高频细节系数的系数不变;When the absolute value of the high-frequency detail coefficient is greater than a given universal threshold λ, the coefficient of the high-frequency detail coefficient remains unchanged;
在所述高频细节系数的绝对值小于或等于给定的通用阈值λ时,所述高频细节系数的系数置零;When the absolute value of the high-frequency detail coefficient is less than or equal to a given universal threshold λ, the coefficient of the high-frequency detail coefficient is set to zero;
其中,所述通用阈值σ是细节分量的系数的标准差,nD为细节分量的系数的个数。Wherein, the general threshold σ is the standard deviation of the coefficients of the detail component, and n D is the number of coefficients of the detail component.
在一实施例中,所述阈值计算模块40,具体用于:In one embodiment, the threshold calculation module 40 is specifically used to:
离散序列获取单元,用于对所述降噪后系数进行小波重构,获得与所述电流信号长度一致的一段离散序列;A discrete sequence acquisition unit, configured to perform wavelet reconstruction on the denoised coefficients to obtain a discrete sequence consistent with the length of the current signal;
电弧故障因子计算单元,用于将所述离散序列的信息熵作为电弧故障因子;An arc fault factor calculation unit is used to use the information entropy of the discrete sequence as the arc fault factor;
负载适应因子计算单元,用于基于所述降噪后系数重构后的系数,计算负载适应因子;A load adaptation factor calculation unit, configured to calculate the load adaptation factor based on the reconstructed coefficients of the denoised coefficients;
自适应阈值计算单元,用于根据所述电弧故障因子、所述负载适应因子以及经验自修正因子,计算所述自适应阈值。An adaptive threshold calculation unit is configured to calculate the adaptive threshold based on the arc fault factor, the load adaptation factor and the empirical self-correction factor.
在一实施例中,所述电弧故障因子的公式表示为:In one embodiment, the formula of the arc fault factor is expressed as:
式中:AFF为电弧故障因子,表示第i个/>序列的值,nD表示/>序列中系数的个数,/>表示所述离线序列。In the formula: AFF is the arc fault factor, Represents the i-th/> The value of the sequence, n D represents/> The number of coefficients in the sequence,/> Represents the offline sequence.
在一实施例中,所述负载适应因子的公式表示为:In one embodiment, the formula of the load adaptation factor is expressed as:
式中:LAF为负载适应因子,di为所述电流信号的第三层细节系数降噪后再重构的系数,i=1,2,…,n。In the formula: LAF is the load adaptation factor, di is the coefficient reconstructed after noise reduction of the third layer detail coefficient of the current signal, i=1, 2,...,n.
在一实施例中,所述自适应阈值的公式表示为:In one embodiment, the formula of the adaptive threshold is expressed as:
thd=k·AFF·LAFthd=k·AFF·LAF
式中:thd为自适应阈值,AFF为电弧故障因子,LAF为负载适应因子,k为经验自修正因子。In the formula: thd is the adaptive threshold, AFF is the arc fault factor, LAF is the load adaptation factor, and k is the empirical self-correction factor.
在一实施例中,所述检测模块50,具体用于执行以下步骤:In one embodiment, the detection module 50 is specifically configured to perform the following steps:
当一个检测周期的t值大于等于所述自适应阈值时,确定发生串联故障电弧;When the t value of a detection period is greater than or equal to the adaptive threshold, it is determined that a series fault arc occurs;
当一个检测周期的t值小于所述自适应阈值时,确定未发生串联故障电弧。When the t value of one detection period is less than the adaptive threshold, it is determined that no series fault arc occurs.
本实施例对待测电流信号进行提取每半周期的变异系数(C·V)及其一阶、二阶差分值作为故障指示特征,进行故障电弧的检测;通过小波分解、降噪、重构等手段得出电弧故障因子AFF、负载适应因子LAF以及通过实验数据得出经验自修正因子k,以确定实时自适应阈值thd,再设计并对待测检测周期应用SAF检测策略;克服了传统算法在故障检测中无法实时自适应阈值造成的准确率低以及漏报、错报多的情况,进而提升检测的可靠性;能够保护用户的生命财产安全且相对其他检测方法而言在提高检测效率、快速反应和降低计算复杂度方面取得了主要优势。In this embodiment, the coefficient of variation (C·V) of each half cycle and its first-order and second-order difference values are extracted from the current signal to be measured as fault indication features to detect fault arcs; through wavelet decomposition, noise reduction, reconstruction, etc. The arc fault factor AFF, the load adaptation factor LAF and the empirical self-correction factor k are obtained through experimental data to determine the real-time adaptive threshold thd, and then the SAF detection strategy is designed and applied to the detection period to be tested; overcoming the problem of traditional algorithms in fault The inability to adapt the threshold in real time during detection results in low accuracy and many false negatives and false positives, thereby improving the reliability of detection; it can protect users' lives and property and improve detection efficiency and rapid response compared to other detection methods. and reduced computational complexity.
需要说明的是,本发明所述基于变异系数差分算法的故障电弧检测系统的其他实施例或具有实现方法可参照上述各方法实施例,此处不再赘余。It should be noted that other embodiments of the arc fault detection system based on the coefficient of variation differential algorithm of the present invention or implementation methods may refer to the above method embodiments, and no redundancy is provided here.
在本说明书的描述中,参考术语“一个实施例”、“一些实施例”、“示例”、“具体示例”、或“一些示例”等的描述意指结合该实施例或示例描述的具体特征、结构、材料或者特点包含于本发明的至少一个实施例或示例中。在本说明书中,对上述术语的示意性表述不一定指的是相同的实施例或示例。而且,描述的具体特征、结构、材料或者特点可以在任何的一个或多个实施例或示例中以合适的方式结合。In the description of this specification, reference to the terms "one embodiment," "some embodiments," "an example," "specific examples," or "some examples" or the like means that specific features are described in connection with the embodiment or example. , structures, materials or features are included in at least one embodiment or example of the invention. In this specification, schematic representations of the above terms do not necessarily refer to the same embodiment or example. Furthermore, the specific features, structures, materials or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
此外,术语“第一”、“第二”仅用于描述目的,而不能理解为指示或暗示相对重要性或者隐含指明所指示的技术特征的数量。由此,限定有“第一”、“第二”的特征可以明示或者隐含地包括至少一个该特征。在本发明的描述中,“多个”的含义是至少两个,例如两个,三个等,除非另有明确具体的限定。In addition, the terms “first” and “second” are used for descriptive purposes only and cannot be understood as indicating or implying relative importance or implicitly indicating the quantity of indicated technical features. Therefore, features defined as "first" and "second" may explicitly or implicitly include at least one of these features. In the description of the present invention, "plurality" means at least two, such as two, three, etc., unless otherwise expressly and specifically limited.
尽管上面已经示出和描述了本发明的实施例,可以理解的是,上述实施例是示例性的,不能理解为对本发明的限制,本领域的普通技术人员在本发明的范围内可以对上述实施例进行变化、修改、替换和变型。Although the embodiments of the present invention have been shown and described above, it can be understood that the above-mentioned embodiments are illustrative and should not be construed as limitations of the present invention. Those of ordinary skill in the art can make modifications to the above-mentioned embodiments within the scope of the present invention. The embodiments are subject to changes, modifications, substitutions and variations.
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