CN105158612B - A kind of thunderbolt interference identification method adaptive using line voltage traveling wave - Google Patents
A kind of thunderbolt interference identification method adaptive using line voltage traveling wave Download PDFInfo
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Abstract
本发明涉及一种利用极线电压行波自适应的雷击干扰识别方法,属于电力系统直流输电线路继电保护技术领域。线路每隔10km进行仿真遍历,得到雷击导线和避雷线情况下雷击干扰和雷击故障的电压波形曲线并投影在PCA空间,根据其分布不同构造PCA的雷击干扰识别元件。当线路受到雷击时,将测得的极线电压曲线投影在PCA空间,并利用欧氏距离度量测试数据在PCA投影与仿真获得的样本曲线簇在PCA空间聚类中心之间的距离dmin,通过dmin的取值来判别雷击干扰和雷击故障。大量仿真验证表明,该发明效果良好,可靠性较高。
The invention relates to a method for identifying lightning strike interference by using pole-line voltage traveling wave self-adaptation, and belongs to the technical field of relay protection for DC transmission lines in electric power systems. The line is simulated and traversed every 10km, and the voltage waveform curves of lightning interference and lightning faults in the case of lightning strike wires and lightning protection lines are obtained and projected in the PCA space, and the lightning interference identification components of PCA are constructed according to their distribution. When the line is struck by lightning, the measured epipolar voltage curve is projected on the PCA space, and the Euclidean distance is used to measure the distance d min between the PCA projection of the test data and the cluster center of the sample curve cluster obtained by simulation in the PCA space, Use the value of d min to distinguish lightning strike interference and lightning strike fault. A large number of simulation verifications show that the invention has good effect and high reliability.
Description
技术领域technical field
本发明涉及一种利用极线电压行波进行主成分分析的雷击干扰识别方法,属于电力系统直流输电线路继电保护技术领域。The invention relates to a method for identifying lightning strike interference by using pole-line voltage traveling waves for principal component analysis, and belongs to the technical field of relay protection for DC transmission lines in power systems.
背景技术Background technique
通常,雷电对高压、超高压输电线路有危害的是雷电直接落雷在线路的情形,即直击雷。雷电直击HVDC线路致使线路绝缘子闪络则称线路发生雷击故障;如果雷击线路未致使线路绝缘子闪络,即所谓雷击线路未故障。线路雷击未故障在线路落雷点注入的雷电流浪涌,对线路继电保护而言,就系雷击干扰。一般而言,雷击干扰对基于行波或短时窗暂态量的保护影响很大,而对利用长时窗故障暂态量采样值的保护影响较小,尤其对有硬件滤波再由软件做DFT提取工频量的保护影响甚小。未致线路绝缘子闪络的雷电浪涌,对线路继电保护而言,在雷击之后短时窗内线路上存在很大的瞬态能量扰动,对于无延时环节情况下且采用短时窗故障数据的继电保护,无论其采样率如何高与低,都有影响。Usually, lightning is harmful to high-voltage and ultra-high-voltage transmission lines when the lightning falls directly on the line, that is, direct lightning strikes. If the lightning directly strikes the HVDC line and causes the line insulator to flashover, it is said that the line has a lightning strike fault; if the lightning strikes the line and does not cause the line insulator to flashover, it means that the lightning strike line is not faulty. The lightning current surge injected at the lightning point of the line without lightning strike on the line is lightning interference to the line relay protection. Generally speaking, lightning interference has a great influence on the protection based on traveling wave or short-time window transient quantity, but has little influence on the protection based on long-time window fault transient quantity sampling value, especially for hardware filtering and then software The protection effect of the power frequency quantity extracted by DFT is very small. For the lightning surge that did not cause the flashover of the line insulator, for the line relay protection, there is a large transient energy disturbance on the line in the short time window after the lightning strike. For the case of no delay link and the fault data of the short time window No matter how high or low the sampling rate of the relay protection is, it will have an impact.
直流输电线路现有行波保护采样率为10kHz,且展宽5个采样间隔判断,系短时窗暂态量保护,却未考虑雷击干扰,也未配置雷击干扰识别元件,理论上存在雷击干扰导致行波保护误启误判的风险,运行经验也表明,HVDC线路雷击干扰有时会造成现有行波主保护误判误响应的情形。因此我们提倡直流输电线路应当配置雷击干扰识别元件,且正极线路和负极线路分设,独立配置其雷击干扰识别元件。The current traveling wave protection sampling rate of DC transmission lines is 10kHz, and the judgment is extended by 5 sampling intervals. It is short-window transient protection, but lightning interference is not considered, and lightning interference identification components are not configured. In theory, lightning interference causes The risk of false activation and misjudgment of traveling wave protection, operation experience also shows that HVDC line lightning interference sometimes causes misjudgment and misresponse of existing traveling wave main protection. Therefore, we advocate that DC transmission lines should be equipped with lightning strike interference identification components, and the positive and negative lines should be separately configured, and their lightning strike interference identification components should be independently configured.
发明内容Contents of the invention
本发明要解决的技术问题是提出一种利用极线电压行波自适应的雷击干扰识别方法,用以解决上述问题。The technical problem to be solved by the present invention is to propose a method for identifying lightning strike interference using epipolar voltage traveling wave self-adaptation to solve the above problems.
本发明的技术方案是:一种利用极线电压行波自适应的雷击干扰识别方法,搭建直流线路的电磁暂态仿真模型,对线路每隔10km进行仿真遍历,由电磁暂态仿真得到雷击导线和避雷线情况下雷击干扰和雷击故障的电压波形曲线簇,并采用主成分分析提取特征,映射到PCA空间,根据其分布不同构造PCA的雷击干扰识别元件。当线路受到雷击时,将测得的极线电压曲线投影在PCA空间,并利用欧氏距离度量测试数据在PCA投影与仿真获得的样本曲线簇在PCA空间聚类中心之间的距离dmin,通过dmin的取值来判别雷击干扰和雷击故障。The technical solution of the present invention is: a lightning strike interference identification method that utilizes polar line voltage traveling wave self-adaptation, builds an electromagnetic transient simulation model of a DC line, simulates and traverses the line every 10km, and obtains lightning strike wires from electromagnetic transient simulation In the case of lightning strike interference and lightning strike fault voltage waveform curve clusters in the case of lightning strike interference and lightning strike faults, principal component analysis is used to extract features, which are mapped to PCA space, and PCA lightning strike disturbance identification components are constructed according to their distribution. When the line is struck by lightning, the measured epipolar voltage curve is projected on the PCA space, and the Euclidean distance is used to measure the distance d min between the PCA projection of the test data and the cluster center of the sample curve cluster obtained by simulation in the PCA space, Use the value of d min to distinguish lightning strike interference and lightning strike fault.
具体步骤如下:Specific steps are as follows:
(1)构建历史样本数据空间,得到样本在PCA空间的投影分布图。对线路每隔10km进行仿真遍历,分别设置雷击导线干扰、雷击导线故障、雷击避雷线干扰和雷击避雷线故障四种情况,采样率1MHz,得到极线电压波形曲线簇并进行PCA聚类,得到四种情况下样本在PCA空间的投影分布图,从结果可以看出雷击故障和雷击干扰分布在PCA空间左右两侧。(1) Construct the historical sample data space, and obtain the projection distribution map of the sample in the PCA space. Carry out simulation traversal on the line every 10km, respectively set four situations of lightning strike wire interference, lightning strike wire fault, lightning strike lightning protection line interference and lightning strike lightning protection line failure, and the sampling rate is 1MHz to obtain the pole line voltage waveform curve cluster and perform PCA clustering to obtain The projection distribution diagram of the samples in the PCA space in the four cases, it can be seen from the results that the lightning strike fault and lightning strike interference are distributed on the left and right sides of the PCA space.
(2)分别计算雷击导线干扰、雷击导线故障、雷击避雷线干扰和雷击避雷线故障四种情况下PCA空间上各类情况下的聚类中心坐标(2) Calculate the clustering center coordinates in PCA space under the four conditions of lightning conductor interference, lightning conductor fault, lightning lightning conductor interference and lightning conductor fault respectively
式(1)中mj分别表示四种情况下量测端极线电压在PCA空间中投影的点数。In formula (1), m and j respectively represent the number of points where the measured end-to-line voltage is projected in the PCA space in the four cases.
(3)当线路受到雷击时,将测试数据1ms时窗内的极线电压投影在PCA空间,得到测试数据在PC1轴和PC2的投影值(q′1,q′2)。(3) When the line is struck by lightning, project the pole-line voltage in the 1ms time window of the test data on the PCA space, and obtain the projection values (q′ 1 , q′ 2 ) of the test data on the PC 1 axis and PC 2 .
(4)采用欧氏距离来度量当前测试数据投影与各点簇中心的距离。(4) Euclidean distance is used to measure the distance between the current test data projection and the center of each point cluster.
式(2)中k表示所采用主成分投影值的个数,这里k=2,即(q′1,q′2)。Nj为四种情况聚类点簇的中心。In formula (2), k represents the number of principal component projection values used, where k=2, namely (q' 1 , q' 2 ). N j is the center of clustering point clusters in four cases.
(5)根据计算所得的所有距离dj中的最小值,得到基于PCA聚类分析和欧氏距离的雷击干扰判别式(5) According to the minimum value of all the calculated distances d j , the lightning strike interference discriminant formula based on PCA cluster analysis and Euclidean distance is obtained
dmin=min(d1,d2,d3,d4) (3)d min =min(d 1 ,d 2 ,d 3 ,d 4 ) (3)
上式中,d1、d2、d3和d4定义为测试数据在PCA投影与四种雷击情况形成的电压曲线簇在PCA聚类中心之间的距离。d1定义为测试数据投影与雷击避雷线故障电压曲线簇在PCA空间聚类中心之间的距离,d2定义为测试数据投影与雷击导线故障电压曲线簇在PCA聚类中心之间的距离,d3定义为测试数据投影与雷击避雷线干扰电压曲线簇在PCA聚类中心之间的距离,d4定义为测试数据投影与雷击导线干扰电压曲线簇在PCA聚类中心之间的距离;In the above formula, d 1 , d 2 , d 3 and d 4 are defined as the distances between the PCA cluster centers of the test data in the PCA projection and the voltage curve clusters formed by the four lightning strike situations. d 1 is defined as the distance between the test data projection and the lightning strike lightning conductor fault voltage curve cluster in the PCA space clustering center, d 2 is defined as the distance between the test data projection and the lightning strike conductor fault voltage curve cluster in the PCA clustering center, d 3 is defined as the distance between the test data projection and the lightning strike lightning conductor interference voltage curve cluster at the PCA cluster center, and d 4 is defined as the distance between the test data projection and the lightning strike conductor interference voltage curve cluster at the PCA cluster center;
(6)根据测试数据在PCA投影与仿真获得的样本曲线簇在PCA空间聚类中心之间的距离dmin的取值,来判别雷击干扰、雷击故障。根据雷击干扰测量数据和雷击故障测量数据在PCA空间的分布是不同的构成雷击干扰识别的判据如下式:(6) According to the value of the distance d min between the PCA projection of the test data and the sample curve cluster obtained by simulation in the PCA space clustering center, the lightning strike interference and lightning strike fault are judged. According to the distribution of lightning strike interference measurement data and lightning strike fault measurement data in PCA space are different, the criterion for identifying lightning strike interference is as follows:
若dmin=d1或dmin=d2,则判断为雷击故障 (4)If d min =d 1 or d min =d 2 , it is judged as a lightning fault (4)
若dmin=d3或dmin=d4,则判断为雷击干扰 (5)If d min =d 3 or d min =d 4 , it is judged as lightning interference (5)
本发明的有益效果是:The beneficial effects of the present invention are:
(1)本方法是基于现有仿真数据实现雷击干扰的判别,毋需整定值,判据具有自适应的特点(1) This method is based on the existing simulation data to realize the discrimination of lightning strike interference, no need to set the value, and the criterion has the characteristics of self-adaptation
(2)本测距方法利用量测的极线电压实现雷击干扰判别,易于提取,判别方法简单。(2) The distance measuring method utilizes the measured polar line voltage to realize the discrimination of lightning strike interference, which is easy to extract and the discrimination method is simple.
附图说明Description of drawings
图1为本发明直流输电线路仿真系统示意图。Fig. 1 is a schematic diagram of the simulation system of the direct current transmission line of the present invention.
图2为本发明雷击干扰与雷击故障下电压行波曲线簇在PCA空间的聚类结果,PC2/kA为纵坐标投影值/千安,PC1/kA为横坐标投影值/千安。Fig. 2 is the clustering result of the voltage traveling wave curve cluster in PCA space under lightning disturbance and lightning fault according to the present invention, PC 2 /kA is the ordinate projection value/kA, and PC 1 /kA is the abscissa projection value/kA.
图3为雷击正极输电线路闪络情况下其量测端电压曲线簇,u/kV为电压/千伏,t/ms为时间/毫秒。Figure 3 is the measurement terminal voltage curve cluster in the case of lightning flashover on the positive transmission line, where u/kV is voltage/kilovolt, and t/ms is time/millisecond.
图4为雷击正极输电线路未闪络情况下其量测端电压曲线簇,u/kV为电压/千伏,t/ms为时间/毫秒。Figure 4 is the measurement terminal voltage curve cluster when the positive transmission line is struck by lightning without flashover, u/kV is voltage/kilovolt, and t/ms is time/millisecond.
具体实施方式Detailed ways
下面结合附图和具体实施方式,对本发明作进一步说明。The present invention will be further described below in combination with the accompanying drawings and specific embodiments.
一种利用极线电压行波自适应的雷击干扰识别方法,对线路每隔10km进行仿真遍历,得到雷击导线和避雷线情况下雷击干扰和雷击故障的电压波形曲线并投影在PCA空间,根据其分布不同构造PCA的雷击干扰识别元件。当线路受到雷击时,将测得的极线电压曲线投影在PCA空间,并利用欧氏距离度量测试数据在PCA投影与仿真获得的样本曲线簇在PCA空间聚类中心之间的距离dmin,通过dmin的取值来判别雷击干扰和雷击故障。A method for identifying lightning strike interference using pole line voltage traveling wave self-adaption, simulated traversal of the line every 10km, obtained the voltage waveform curves of lightning strike interference and lightning strike faults in the case of lightning strike conductors and lightning conductors, and projected them on the PCA space, according to the Distribution of lightning strike interference identification components with different PCA structures. When the line is struck by lightning, the measured epipolar voltage curve is projected on the PCA space, and the Euclidean distance is used to measure the distance d min between the PCA projection of the test data and the cluster center of the sample curve cluster obtained by simulation in the PCA space, Use the value of d min to distinguish lightning strike interference and lightning strike fault.
判别方法的具体步骤如下:The specific steps of the discrimination method are as follows:
搭建直流线路的电磁暂态仿真模型,线路全长1500km,整流侧接地极线路全长109km,逆变侧接地极线路全长80km。对线路每隔10km进行仿真遍历,由电磁暂态仿真得到雷击导线和避雷线情况下雷击干扰和雷击故障的电压波形曲线簇,并采用主成分分析提取特征,映射到PCA空间,得到雷击导线干扰、雷击导线故障、雷击避雷线干扰和雷击避雷线故障四种情况下在PCA空间上的聚类中心,分别为N1(q1,q2)、N2(q1,q2)、N3(q1,q2)和N4(q1,q2)。Build the electromagnetic transient simulation model of the DC line, the total length of the line is 1500km, the total length of the ground electrode line on the rectifier side is 109km, and the total length of the ground electrode line on the inverter side is 80km. The simulation traverses the line every 10km, and the voltage waveform curve clusters of lightning interference and lightning faults in the case of lightning strike wires and lightning protection wires are obtained from electromagnetic transient simulation, and principal component analysis is used to extract features, which are mapped to PCA space to obtain lightning strike wire interference , lightning conductor fault, lightning strike lightning conductor interference and lightning strike conductor fault, the clustering centers in PCA space are N 1 (q 1 ,q 2 ), N 2 (q 1 ,q 2 ), N 3 (q 1 ,q 2 ) and N 4 (q 1 ,q 2 ).
实施例1:±800kV直流输电线路的仿真系统如图1所示。正极线路距离M端550km处发生雷击避雷线未故障。Embodiment 1: The simulation system of the ±800kV direct current transmission line is shown in FIG. 1 . A lightning strike occurred 550km away from the M terminal on the positive line, and the lightning protection line was not faulty.
根据上述步骤(3),将测试数据1ms时窗内的极线电压投影在PCA空间,得到测试数据在PC1轴和PC2的投影值(q′1,q′2)。According to the above step (3), the epipolar voltage within the 1ms time window of the test data is projected on the PCA space, and the projection values (q′ 1 , q′ 2 ) of the test data on the PC 1 axis and PC 2 are obtained.
根据步骤(4)得到测试数据的投影值(q′1,q′2)与各个聚类中心N1(q1,q2)、N2(q1,q2)、N3(q1,q2)和N4(q1,q2)的欧氏距离分别为d1=4.9617×104,d2=4.0782×104,d3=3.2984×104,d4=446.8166。根据步骤(5)和步骤(6),得到dmin=d4,可以判断出该为雷击干扰。According to step (4), the projection value (q′ 1 ,q′ 2 ) of the test data and each cluster center N 1 (q 1 ,q 2 ), N 2 (q 1 ,q 2 ), N 3 (q 1 ,q 2 ) and N 4 (q 1 ,q 2 ) are respectively d 1 =4.9617×10 4 , d 2 =4.0782×10 4 , d 3 =3.2984×10 4 , d 4 =446.8166. According to step (5) and step (6), it is obtained that d min =d 4 , it can be judged that it is lightning strike interference.
实施例2:±800kV直流输电线路的仿真系统如图1所示。正极线路距离M端980km处发生雷击避雷线未故障。Embodiment 2: The simulation system of the ±800kV direct current transmission line is shown in FIG. 1 . A lightning strike occurs at a distance of 980km from the M terminal to the positive pole line, and the lightning protection line is not faulty.
根据上述步骤(3),将测试数据1ms时窗内的极线电压投影在PCA空间,得到测试数据在PC1轴和PC2的投影值(q′1,q′2)。According to the above step (3), the epipolar voltage within the 1ms time window of the test data is projected on the PCA space, and the projection values (q′ 1 , q′ 2 ) of the test data on the PC 1 axis and PC 2 are obtained.
根据步骤(4)得到测试数据的投影值(q′1,q′2)与各个聚类中心N1(q1,q2)、N2(q1,q2)、N3(q1,q2)和N4(q1,q2)的欧氏距离分别为d1=2.2249×104,d2=1.1328×104,d3=4.4948×104,d4=2.9831×104。根据步骤(5)和步骤(6),得到dmin=d2,可以判断出该为雷击故障。According to step (4), the projection value (q′ 1 ,q′ 2 ) of the test data and each cluster center N 1 (q 1 ,q 2 ), N 2 (q 1 ,q 2 ), N 3 (q 1 ,q 2 ) and N 4 (q 1 ,q 2 ) are respectively d 1 =2.2249×10 4 , d 2 =1.1328×10 4 , d 3 =4.4948×10 4 , d 4 =2.9831×10 4 . According to step (5) and step (6), it is obtained that d min =d 2 , and it can be judged that it is a lightning strike fault.
实施例3:±800kV直流输电线路的仿真系统如图1所示。正极线路距离M端120km处发生雷击避雷线未故障。Embodiment 3: The simulation system of the ±800kV DC transmission line is shown in FIG. 1 . The positive line is 120km away from the M terminal, and the lightning protection line is not faulty.
根据上述步骤(3),将测试数据1ms时窗内的极线电压投影在PCA空间,得到测试数据在PC1轴和PC2的投影值(q′1,q′2)。According to the above step (3), the epipolar voltage within the 1ms time window of the test data is projected on the PCA space, and the projection values (q′ 1 , q′ 2 ) of the test data on the PC 1 axis and PC 2 are obtained.
根据步骤(4)得到测试数据的投影值(q′1,q′2)与各个聚类中心N1(q1,q2)、N2(q1,q2)、N3(q1,q2)和N4(q1,q2)的欧氏距离分别为d1=4.7967×104,d2=4.007×104,d3=100.7772,d4=3.5452×103。根据步骤(5)和步骤(6),得到dmin=d3,可以判断出该为雷击干扰。According to step (4), the projection value (q′ 1 ,q′ 2 ) of the test data and each cluster center N 1 (q 1 ,q 2 ), N 2 (q 1 ,q 2 ), N 3 (q 1 ,q 2 ) and N 4 (q 1 ,q 2 ) are respectively d 1 =4.7967×10 4 , d 2 =4.007×10 4 , d 3 =100.7772, d 4 =3.5452×10 3 . According to step (5) and step (6), it is obtained that d min =d 3 , it can be judged that it is lightning strike interference.
Claims (2)
- A kind of 1. thunderbolt interference identification method adaptive using line voltage traveling wave, it is characterised in that:Build DC line Electromagnetic transient simulation model, emulation traversal is carried out every 10km to circuit, obtained thunderbolt wire by electromagnetic transient simulation and taken shelter from the thunder The voltage waveform cluster of thunderbolt interference and lightning fault in the case of line, and using principal component analysis extraction feature, it is mapped to PCA Space, different configuration PCA thunderbolt disturbance ecology element is distributed according to it, when circuit is struck by lightning, by the polar curve measured electricity Line projection buckle in PCA space, and is projected using euclidean distance metric test data in PCA with emulating the sample curve cluster obtained Distance d between PCA space cluster centremin, pass through dminValue come differentiate thunderbolt interference and lightning fault.
- 2. the thunderbolt interference identification method adaptive using line voltage traveling wave according to claim 1, it is characterised in that Comprise the following steps that:(1) historical sample data space is built, obtains projective distribution figure of the sample in PCA space, circuit is carried out every 10km Emulation traversal, four kinds of the interference of thunderbolt wire, thunderbolt breakdown of conducting wires, the interference of thunderbolt lightning conducter and thunderbolt lightning conducter failure are set respectively Situation, sample rate 1MHz, obtain line voltage wavy curve cluster and carry out PCA clusters, sample is empty in PCA in the case of obtaining four kinds Between projective distribution figure, as can be seen from the results lightning fault and thunderbolt interference profile at left and right sides of PCA space;(2) interference of thunderbolt wire, thunderbolt breakdown of conducting wires, the interference of thunderbolt lightning conducter and thunderbolt lightning conducter four kinds of feelings of failure are calculated respectively Under condition it is all kinds of on PCA space in the case of cluster centre coordinate:<mrow> <msub> <mi>N</mi> <mi>j</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>q</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>q</mi> <mn>2</mn> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mn>1</mn> <msub> <mi>m</mi> <mi>j</mi> </msub> </mfrac> <mo>{</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <msub> <mi>m</mi> <mi>j</mi> </msub> </munderover> <msub> <mi>q</mi> <mrow> <mn>1</mn> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>,</mo> <munderover> <mo>&Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <msub> <mi>m</mi> <mi>j</mi> </msub> </munderover> <msub> <mi>q</mi> <mrow> <mn>2</mn> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>k</mi> <mo>)</mo> </mrow> <mo>}</mo> <mo>,</mo> <mi>j</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>3</mn> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>In formula (1), mjThe points that measuring end line voltage projects in PCA space in the case of four kinds, q are represented respectively1、q2Represent Historical sample data is in PC1Axle and PC2Projection value on axle;(3) when circuit is struck by lightning, the line voltage in window during test data 1ms is projected in PCA space, obtains testing number According in PC1Axle and PC2The projection value q of axle1' and q2′;(4) current test data projection and the distance at each point cluster center are measured using Euclidean distance;<mrow> <msub> <mi>d</mi> <mi>j</mi> </msub> <mrow> <mo>(</mo> <mi>f</mi> <mo>,</mo> <msub> <mi>N</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <msqrt> <mrow> <munderover> <mo>&Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msup> <mrow> <mo>(</mo> <msubsup> <mi>q</mi> <mi>k</mi> <mo>&prime;</mo> </msubsup> <mo>-</mo> <msub> <mi>q</mi> <mi>k</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </msqrt> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow>K represents to use the number of principal component projection value in formula (2), here k=2, i.e. (q1′,q2'), NjClustered for four kinds of situations The center of point cluster, f represent (q1,q2) this entirety;(5) according to all distance d for calculating gainedjIn minimum value, obtain the thunderbolt based on PCA cluster analyses and Euclidean distance Disturb discriminate:dmin=min (d1,d2,d3,d4) (3)In above formula, d1、d2、d3And d4Test data is defined as in the voltage curve cluster that PCA projections are formed with four kinds of thunderbolt situations to exist The distance between PCA cluster centres, d1Test data projection is defined as with thunderbolt lightning conducter false voltage set of curves in PCA space The distance between cluster centre, d2Test data projection is defined as with thunderbolt breakdown of conducting wires voltage curve cluster in PCA cluster centres The distance between, d3Test data projection and thunderbolt lightning conducter interference voltage set of curves are defined as between PCA cluster centres Distance, d4It is defined as the distance of test data projection and thunderbolt wire interference voltage set of curves between PCA cluster centres;(6) project and emulate distance of the sample curve cluster obtained between PCA space cluster centre in PCA according to test data dminValue, come differentiate thunderbolt interference, lightning fault, according to thunderbolt interferometry data and lightning fault measurement data in PCA The distribution in space is the criterion such as following formula of different composition thunderbolt disturbance ecologies:If dmin=d1Or dmin=d2, then it is judged as lightning fault (4)If dmin=d3Or dmin=d4, then it is judged as thunderbolt interference (5).
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