CN111950125B - Method and system for judging fault type and position of direct-current cable - Google Patents

Method and system for judging fault type and position of direct-current cable Download PDF

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CN111950125B
CN111950125B CN202010663623.2A CN202010663623A CN111950125B CN 111950125 B CN111950125 B CN 111950125B CN 202010663623 A CN202010663623 A CN 202010663623A CN 111950125 B CN111950125 B CN 111950125B
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史如新
戚星宇
戴黎明
陈洁
蒋志坚
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State Grid Corp of China SGCC
State Grid Jiangsu Electric Power Co Ltd
Changzhou Power Supply Co of State Grid Jiangsu Electric Power Co Ltd
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Abstract

本发明涉及一种直流电缆故障类型和位置判断方法及系统,该方法包括以下步骤:在直流电缆线路上逆变器二次侧和负载DC/DC变换器一次侧的两隔离开关处分别设置一个磁环;根据线路的实际情况仿真不同故障位置、不同故障类型的一定时间窗的1模故障电压初始行波,得到故障仿真数据库,并将其分为区内故障和区外故障仿真数据库;在线路一端设置行波采集装置,记录实际故障电压初始行波;根据实际故障电压初始行波波形对故障点位于区内外进行区分;根据判断结果在对应的故障仿真数据库中寻找与实际故障电压初始行波的皮尔森(Pearson)相关系数最大的仿真电压初始行波,完成故障类型和位置的判断。本发明可同时完成故障类型和位置的识别,方便快捷、准确度高。

Figure 202010663623

The invention relates to a method and system for judging the fault type and position of a DC cable. The method comprises the following steps: respectively setting two isolation switches on the secondary side of the inverter and the primary side of the load DC/DC converter on the DC cable line. Magnetic ring; simulate the initial traveling wave of 1-mode fault voltage in a certain time window with different fault locations and different fault types according to the actual situation of the line, and obtain the fault simulation database, which is divided into internal fault and external fault simulation database; A traveling wave acquisition device is installed at one end of the line to record the initial traveling wave of the actual fault voltage; according to the initial traveling wave waveform of the actual fault voltage, the fault points are located inside and outside the area to distinguish; The initial traveling wave of the simulated voltage with the largest Pearson correlation coefficient of the wave is used to complete the judgment of the fault type and location. The invention can simultaneously complete the identification of the fault type and the location, and is convenient, quick, and high in accuracy.

Figure 202010663623

Description

一种直流电缆故障类型和位置判断方法及系统Method and system for judging type and location of DC cable faults

技术领域technical field

本发明涉及电力系统技术领域,具体涉及一种直流电缆故障类型和位置判断方法及系统。The invention relates to the technical field of electric power systems, in particular to a method and system for judging the fault type and position of a DC cable.

背景技术Background technique

在直流配电网中突发故障时,会引起阶跃性压降。当直流输电电缆发生故障(如两极短路故障)时,电容放电阶段的峰值电流能达到正常运行时电流的20-30倍,随着直流配网规模的不断扩大,负荷电流的迅速增长,甚至个别区域短路电流已远超目前所用断路器水平,引发更加严重的电网事故。因此,如何快速检测、判定故障位置,并做出进一步的保护动作,对于直流配电网的安全运行有十分重要的意义。电压初始行波法是目前电网线路常用的故障判定方法,现有的电压初始行波法大多是以双端法为主,单端法为辅。双端法是通过计算局部放电脉冲信号到达电缆两端的时间差,结合电缆长度、传播波速等进行定位。虽然双端法的原理更加简单可靠,但需电缆两端高精度的时间同步,精确获取局部放电脉冲到达电缆两端的绝对时间,在目前的直流线路建设中大量施行难度较大、额外检测设备成本过高。In the event of a sudden fault in the DC distribution network, a step voltage drop will be caused. When the DC transmission cable fails (such as a two-pole short-circuit fault), the peak current in the capacitor discharge phase can reach 20-30 times the current during normal operation. With the continuous expansion of the DC distribution network, the load current increases rapidly, and even individual The regional short-circuit current has far exceeded the level of the circuit breakers currently used, causing more serious grid accidents. Therefore, how to quickly detect and determine the fault location and make further protection actions is of great significance for the safe operation of the DC distribution network. The voltage initial traveling wave method is a commonly used fault determination method for power grid lines at present. The double-ended method is to calculate the time difference between the partial discharge pulse signal and the two ends of the cable, and combine the length of the cable and the speed of the propagation wave to locate. Although the principle of the double-ended method is simpler and more reliable, it requires high-precision time synchronization at both ends of the cable to accurately obtain the absolute time when the partial discharge pulse reaches both ends of the cable. too high.

单端法是通过计算局部放电脉冲初次到达本侧母线的时间和电缆对端母线反射波信号到达时间差,结合传播波速进行定位。相对而言,单端法对硬件要求较低,只需要在线路一侧母线处安装信号检测装置,提取辨识电压初始行波波头,无需同对侧线路进行通信联系和信号同步,测距成本大大降低,但单端行波测距时存在行波折反射过程复杂,行波波头辨识难度大的技术问题,同时在长距离线路中,由于高频信号传输过程中的衰减及波形畸变,使得反射波识别难度进一步增大,可靠性偏低。The single-ended method is to calculate the time difference between the time when the partial discharge pulse first arrives at the busbar on the local side and the arrival time of the reflected wave signal from the busbar at the opposite end of the cable. Relatively speaking, the single-ended method has lower hardware requirements. It only needs to install a signal detection device at the bus bar on one side of the line to extract and identify the initial traveling wave head of the voltage. There is no need for communication and signal synchronization with the opposite line, and the cost of distance measurement is greatly reduced. However, in single-ended traveling wave ranging, there are technical problems that the traveling wave refraction and reflection process is complex, and the traveling wave wave head identification is difficult. Further increase, the reliability is low.

现有的单端法还存在着不能准确、快速地判断故障的具体类型和位置的缺陷,只能确认有故障发生,无法判断该故障是短路故障、断路故障还是外部冲击故障;也难于简便快捷又准确可靠地判断故障发生点的具体位置,因为现有的单端法采用时间差来定位故障点的核心为确定故障行波传播到线路两端的时间差,进而实现故障精确定位,要求获得和暂态电压信号相对应的精准时间信息,对暂态电压测量装置的精度要求很高。The existing single-ended method also has the defect that the specific type and location of the fault cannot be accurately and quickly determined, and it can only confirm that a fault has occurred, but cannot determine whether the fault is a short-circuit fault, an open-circuit fault or an external impact fault; it is also difficult to be simple and fast. It can also accurately and reliably determine the specific location of the fault occurrence point, because the existing single-ended method uses the time difference to locate the fault point. The precise time information corresponding to the voltage signal has high requirements on the accuracy of the transient voltage measurement device.

更重要的是,目前没有任何一种方法,能够高效、准确地同时判断出直流电缆线路故障的具体类型和发生位置。More importantly, there is currently no method that can simultaneously determine the specific type and location of DC cable line faults efficiently and accurately.

发明内容SUMMARY OF THE INVENTION

基于上述现状,本发明的主要目的在于提供一种能够准确高效地同时判断出直流电缆线路故障的具体类型和发生位置的手段,且能够克服现有技术的单端法存在的电压初始行波波头难于提取辨识、只能确认有故障发生但无法判断故障类型,也不能快速准确地定位故障的缺陷。Based on the above status quo, the main purpose of the present invention is to provide a method that can accurately and efficiently determine the specific type and location of DC cable line faults at the same time, and can overcome the difficulty of the voltage initial traveling wave head existing in the single-ended method in the prior art. Extraction and identification can only confirm that there is a fault, but cannot judge the type of fault, nor can it quickly and accurately locate the defect of the fault.

为实现上述目的,本发明采用的技术方案如下:For achieving the above object, the technical scheme adopted in the present invention is as follows:

一种直流电缆故障类型和位置判断方法,包括以下步骤:A method for judging the fault type and location of a DC cable, comprising the following steps:

S100:在直流电缆线路上逆变器二次侧的隔离开关处和负载DC/DC变换器一次侧的隔离开关处分别各设置一个磁环;S100: A magnetic ring is respectively set at the isolation switch of the secondary side of the inverter and the isolation switch of the primary side of the load DC/DC converter on the DC cable line;

S200:在直流电缆线路长度范围内从线路始端到末端按照一定间隔距离取不同的位置点,采用一定的采样频率,仿真模拟前述不同的位置点的每一点处分别发生短路、断路和外部冲击这三种不同的故障类型时的一定时间窗的1模故障电压初始行波,行波的横坐标为采样点,纵坐标为电压值,得到故障仿真数据库,并按照故障位置是否在两磁环限定的区域内,将故障仿真数据库分为区内故障仿真数据库和区外故障仿真数据库,所述区内故障仿真数据库是指故障点位于两磁环限定的区域内的所有仿真电压初始行波集合,所述区外故障仿真数据库是指故障点位于两磁环限定的区域外的所有仿真电压初始行波集合;S200: Within the length of the DC cable line, from the beginning to the end of the line, take different positions at a certain interval distance, and use a certain sampling frequency to simulate the occurrence of short-circuit, open-circuit and external shock at each of the above-mentioned different positions. The initial traveling wave of the 1-mode fault voltage in a certain time window for three different fault types, the abscissa of the traveling wave is the sampling point, and the ordinate is the voltage value, the fault simulation database is obtained, and the fault position is limited by the two magnetic rings. The fault simulation database is divided into the internal fault simulation database and the external fault simulation database, and the internal fault simulation database refers to the set of all simulated voltage initial traveling waves whose fault points are located in the area limited by the two magnetic rings, The out-of-area fault simulation database refers to a set of initial traveling waves of all simulated voltages where the fault point is located outside the area defined by the two magnetic rings;

S300:在直流电缆线路的一端设置行波采集装置,以记录实际故障发生时与S200相同采样频率和时间窗内的1模故障电压初始行波,行波的横坐标为采样点,纵坐标为电压值,得到实际故障电压初始行波;S300: Set a traveling wave acquisition device at one end of the DC cable line to record the initial traveling wave of the 1-mode fault voltage within the same sampling frequency and time window as S200 when the actual fault occurs. The abscissa of the traveling wave is the sampling point, and the ordinate is voltage value to obtain the initial traveling wave of the actual fault voltage;

S400:根据实际故障电压初始行波的波形对故障点位于两磁环限定的区域内还是区域外进行判断,其中,若实际故障电压初始行波的波形具有拐点,则该波形对应的故障点位于两磁环限定的区域内,否则,该波形对应的故障点位于两磁环限定的区域外;S400: Judging whether the fault point is located within or outside the area defined by the two magnetic rings according to the waveform of the initial traveling wave of the actual fault voltage, wherein, if the waveform of the initial traveling wave of the actual fault voltage has an inflection point, the fault point corresponding to the waveform is located at In the area limited by the two magnetic rings, otherwise, the fault point corresponding to the waveform is located outside the area limited by the two magnetic rings;

S500:根据S400的判断结果,在S200得到的相应的故障仿真数据库中寻找与步骤S300中实际故障电压初始行波的皮尔森(Pearson)相关系数最大的仿真电压初始行波,该仿真电压初始行波对应的故障类型即为实际故障的故障类型,对应的位置点即为实际故障的位置点。S500: According to the judgment result of S400, in the corresponding fault simulation database obtained in S200, search for the initial traveling wave of the simulated voltage with the largest Pearson correlation coefficient with the initial traveling wave of the actual fault voltage in step S300. The fault type corresponding to the wave is the fault type of the actual fault, and the corresponding position point is the position point of the actual fault.

优选地,步骤S500中的皮尔森(Pearson)相关系数可通过如下计算方式得到:Preferably, the Pearson correlation coefficient in step S500 can be obtained by the following calculation method:

Figure GDA0003699349990000031
Figure GDA0003699349990000031

其中,xi和xj为故障仿真数据库中的一个电压初始行波的第i个和第j个采样点对应的电压值,yi和yj为实际故障电压初始行波的第i个和第j个采样点对应的电压值,N为一定时间窗的采样点个数,i、j的取值范围为[1,N]。Among them, x i and x j are the voltage values corresponding to the i-th and j-th sampling points of an initial voltage traveling wave in the fault simulation database, and y i and y j are the i-th sum of the actual fault voltage initial traveling wave The voltage value corresponding to the jth sampling point, N is the number of sampling points in a certain time window, and the value range of i and j is [1, N].

优选地,直流电缆故障类型和位置判断方法,还包括步骤S600:将S500得到的线路故障类型和位置上传至故障处理中心。Preferably, the method for judging the fault type and location of the DC cable further includes step S600: uploading the line fault type and location obtained in S500 to the fault processing center.

优选地,步骤S600中,上传是采用LoRa无线通信方式,外置GPRS基站,通过5G公网实现。Preferably, in step S600, the uploading is implemented by using the LoRa wireless communication mode, with an external GPRS base station, and through the 5G public network.

优选地,磁环为开口式磁环,磁环内径与线缆外径相近。Preferably, the magnetic ring is an open magnetic ring, and the inner diameter of the magnetic ring is similar to the outer diameter of the cable.

本发明还提供了直流电缆故障类型和位置判断系统,包括:The present invention also provides a DC cable fault type and location judgment system, including:

两磁环,分别设置在直流输电线路上逆变器二次侧的隔离开关处和负载DC/DC变换器一次侧的隔离开关处;The two magnetic rings are respectively arranged at the isolation switch of the secondary side of the inverter and the isolation switch of the primary side of the load DC/DC converter on the DC transmission line;

仿真单元,用于在直流电缆线路长度范围内从线路始端到末端按照一定间隔距离取不同的位置点,采用一定的采样频率,仿真模拟前述不同的位置点的每一点处发生短路、断路、外部冲击这三种不同的故障类型时的一定时间窗的1模故障电压初始行波,行波的横坐标为采样点,纵坐标为电压值,得到故障仿真数据库,并按照故障位置是否在两磁环限定的区域内,将故障仿真数据库分为区内故障仿真数据库和区外故障仿真数据库,所述区内故障仿真数据库是指故障点位于两磁环限定的区域内的所有仿真电压初始行波集合,所述区外故障仿真数据库是指故障点位于两磁环限定的区域外的所有仿真电压初始行波集合;The simulation unit is used to take different position points according to a certain interval distance from the beginning to the end of the DC cable line, and use a certain sampling frequency to simulate the occurrence of short-circuit, open-circuit, external The initial traveling wave of the 1-mode fault voltage in a certain time window when the three different fault types are impacted, the abscissa of the traveling wave is the sampling point, and the ordinate is the voltage value. In the area limited by the ring, the fault simulation database is divided into an internal fault simulation database and an external fault simulation database. The internal fault simulation database refers to all the simulated voltage initial traveling waves whose fault points are located in the area limited by the two magnetic rings. set, the out-of-area fault simulation database refers to a set of initial traveling waves of all simulated voltages whose fault points are located outside the area defined by the two magnetic rings;

行波采集单元,设置在直流电缆线路的一端,用于记录实际故障发生时与仿真单元所述相同采样频率与相同时间窗内的1模故障电压初始行波,行波的横坐标为采样点,纵坐标为电压值,得到实际故障电压初始行波;The traveling wave acquisition unit, set at one end of the DC cable line, is used to record the initial traveling wave of the 1-mode fault voltage within the same sampling frequency and the same time window as described in the simulation unit when the actual fault occurs, and the abscissa of the traveling wave is the sampling point , the ordinate is the voltage value, and the initial traveling wave of the actual fault voltage is obtained;

故障位置区域预判单元,根据行波采集单元得到的实际故障电压初始行波的波形对故障点位于两磁环限定的区域内还是区域外进行判断,其中,若实际故障电压初始行波的波形具有拐点,则该波形对应的故障点位于两磁环限定的区域内,否则,该波形对应的故障点位于两磁环限定的区域外;The fault location area prediction unit judges whether the fault point is located in the area defined by the two magnetic rings or outside the area according to the waveform of the initial traveling wave of the actual fault voltage obtained by the traveling wave acquisition unit. If there is an inflection point, the fault point corresponding to the waveform is located in the area limited by the two magnetic rings, otherwise, the fault point corresponding to the waveform is located outside the area limited by the two magnetic rings;

故障类型及位置判断单元,根据故障位置区域预判单元的判断结果,在仿真单元得到的对应的故障仿真数据库中寻找与行波采集单元得到的实际故障电压初始行波的皮尔森(Pearson)相关系数最大的仿真电压初始行波,该仿真电压初始行波对应的故障类型即为实际故障的故障类型,对应的位置点即为实际故障的位置点。The fault type and location judgment unit searches for the Pearson correlation of the initial traveling wave of the actual fault voltage obtained by the traveling wave acquisition unit in the corresponding fault simulation database obtained by the simulation unit according to the judgment result of the fault location area prediction unit The initial traveling wave of the simulated voltage with the largest coefficient, the fault type corresponding to the initial traveling wave of the simulated voltage is the fault type of the actual fault, and the corresponding position point is the position point of the actual fault.

优选地,判断单元的皮尔森(Pearson)相关系数可通过如下计算方式得到:Preferably, the Pearson correlation coefficient of the judgment unit can be obtained by the following calculation method:

Figure GDA0003699349990000041
Figure GDA0003699349990000041

其中,xi和xj为故障仿真数据库中的一个电压初始行波的第i个和第j个采样点对应的电压值,yi和yj为实际故障电压初始行波的第i个和第j个采样点对应的电压值,N为一定时间窗的采样点个数,i、j的取值范围为[1,N]。Among them, x i and x j are the voltage values corresponding to the i-th and j-th sampling points of an initial voltage traveling wave in the fault simulation database, and y i and y j are the i-th sum of the actual fault voltage initial traveling wave The voltage value corresponding to the jth sampling point, N is the number of sampling points in a certain time window, and the value range of i and j is [1, N].

选优地,磁环为开口式磁环,磁环内径与线缆外径相近。Preferably, the magnetic ring is an open magnetic ring, and the inner diameter of the magnetic ring is similar to the outer diameter of the cable.

选优地,所直流电缆故障类型和位置判断系统,还包括传输单元,用于将故障类型及位置判断单元得到的线路故障类型和位置上传至故障处理中心。Preferably, the DC cable fault type and location judging system further includes a transmission unit for uploading the line fault type and location obtained by the fault type and location judging unit to the fault processing center.

选优地,所述传输单元,包括LoRa基站及GPRS天线。Preferably, the transmission unit includes a LoRa base station and a GPRS antenna.

与现有技术相比,首先,本发明提供了一种可以准确高效地同时判断出直流电缆线路故障的具体类型和发生位置的手段,只需对电压初始行波进行相似度比较,舍弃了现有单端法通过获得故障行波传播到线路两端的时间差、进而实现故障精确定位的方式,不要求高精度的暂态电压测量装置,显著降低了电缆故障监测成本并极大提高了监测人员的工作效率,使得监测人员可以快速地对故障位置进行判断、缩小故障发生时的停电范围,同时可以马上根据故障类型迅速安排排查人员和相应排查措施,显著缩短故障排查时间,使得电缆线路可以快速恢复正常状态,确保电网的高效稳定运行;同时,由于本发明实施时,建立起了区内故障仿真数据库和区外故障仿真数据库,且先识别实际故障发生在双磁环限定的区域内、还是区域外,而后将实际故障电压初始行波和相应仿真数据库内的仿真电压初始行波进行拟合求取皮尔森相关系数,相比于不区分区内和区外故障、将实际故障电压初始行波的波形与全数据库内的仿真波形拟合的技术手段,极大降低了拟合计算的工作量,进一步提高了对故障位置和类型的判断速度,使得电网可以更快地恢复正常状态,对电网用户的正常生产生活的影响降到最低。Compared with the prior art, first of all, the present invention provides a method that can accurately and efficiently simultaneously determine the specific type and location of DC cable line faults. There is a single-ended method that can accurately locate the fault by obtaining the time difference between the fault traveling wave and the two ends of the line, and does not require a high-precision transient voltage measurement device, which significantly reduces the cost of cable fault monitoring and greatly improves the monitoring personnel. The work efficiency enables the monitoring personnel to quickly judge the fault location and reduce the power outage range when the fault occurs. At the same time, they can quickly arrange the troubleshooting personnel and corresponding troubleshooting measures according to the type of the fault, which significantly shortens the troubleshooting time and enables the cable line to recover quickly. In the normal state, the high-efficiency and stable operation of the power grid is ensured; at the same time, when the present invention is implemented, an internal fault simulation database and an external fault simulation database are established, and it is first identified whether the actual fault occurs in the area limited by the double magnetic ring or the area Then, the initial traveling wave of the actual fault voltage and the initial traveling wave of the simulated voltage in the corresponding simulation database are fitted to obtain the Pearson correlation coefficient. The technical means of fitting the simulated waveforms in the whole database with the simulated waveforms in the whole database greatly reduces the workload of the fitting calculation, further improves the judgment speed of the fault location and type, and enables the power grid to return to a normal state faster. The impact on the normal production and life of users is minimized.

另外,双磁环的设置,一方面可以有效减缓行波波头,解决了单端行波法中波头辨识困难、不够准确的问题,实现了单端行波法在直流配电网的应用;另一方面,磁环能够对暂态过电压(VFTO)的幅值、陡度和峰值时间产生影响,使不同位置处的电压初始行波波形差异变大,实现通过波形清晰区分不同位置处的故障;再者,在建立故障仿真数据库时,由双磁环带来的波头易识别,不同位置处的外部故障行波波形差异明显,避免了相似故障波形的出现,从而避免了定位过程的相似波形的混淆,使得通过仿真建模进行故障定位更准确、可靠;皮尔森(Pearson)相关系数通过计算两电压初始行波采样点的协方差来衡量两个电压初始行波的波形细节,进而评估两个行波变化趋势的相似度,比计算两个电压初始行波的采样点的标准差进行相似度分析更加严谨,通过对电压初始行波的细节和变化趋势进行相似度分析评估,实现故障位置的准确定位。并且采用单端故障定位法,对硬件要求低,成本低,容易实现。In addition, the setting of the double magnetic ring can effectively slow down the traveling wave head, solve the problem of difficult and inaccurate identification of the wave head in the single-ended traveling wave method, and realize the application of the single-ended traveling wave method in the DC distribution network; On the one hand, the magnetic ring can affect the amplitude, steepness and peak time of the transient overvoltage (VFTO), so that the difference in the initial traveling wave waveform of the voltage at different positions becomes larger, and the faults at different positions can be clearly distinguished by the waveform. Furthermore, when the fault simulation database is established, the wave head brought by the double magnetic ring is easy to identify, and the external fault traveling wave waveforms at different positions are obviously different, which avoids the appearance of similar fault waveforms, and thus avoids the similarity of the positioning process. The confusion of waveforms makes fault location more accurate and reliable through simulation modeling; the Pearson correlation coefficient measures the waveform details of the initial traveling waves of the two voltages by calculating the covariance of the sampling points of the initial traveling waves of the two voltages, and then evaluates The similarity of the change trend of the two traveling waves is more rigorous than the similarity analysis by calculating the standard deviation of the sampling points of the two initial traveling waves of the voltage. accurate positioning of the location. In addition, the single-ended fault location method is adopted, which has low hardware requirements, low cost and easy implementation.

本发明的其他有益效果,将在具体实施方式中通过具体技术特征和技术方案的介绍来阐述,本领域技术人员通过这些技术特征和技术方案的介绍,应能理解所述技术特征和技术方案带来的有益技术效果。Other beneficial effects of the present invention will be illustrated in the specific embodiments through the introduction of specific technical features and technical solutions. Those skilled in the art should be able to understand the technical features and technical solutions through the introduction of these technical features and technical solutions. beneficial technical effects.

附图说明Description of drawings

以下将参照附图对根据本发明的直流电缆故障类型和位置判断方法及系统的优选实施方式进行描述。附图中:Preferred embodiments of the method and system for judging the type and location of a DC cable fault according to the present invention will be described below with reference to the accompanying drawings. In the attached picture:

图1为根据本发明的一种优选实施方式的直流电缆故障类型和位置判断方法流程框图;Fig. 1 is a flow chart of a method for judging fault types and locations of DC cables according to a preferred embodiment of the present invention;

图2为本发明提供的磁环频率特性曲线和阻抗等效电路示意图;2 is a schematic diagram of a magnetic ring frequency characteristic curve and an impedance equivalent circuit provided by the present invention;

其中,(a)为磁环频率特性曲线;(b)为(a)磁环频率特性曲线拟合后的磁环阻抗等效电路,其中,左侧为拟合结果为实数时的等效电路示意图,右侧为拟合结果为复数时的等效电路示意图;Among them, (a) is the frequency characteristic curve of the magnetic ring; (b) is the equivalent circuit of the magnetic ring impedance after fitting (a) the frequency characteristic curve of the magnetic ring, and the left side is the equivalent circuit when the fitting result is a real number Schematic diagram, the right side is the equivalent circuit diagram when the fitting result is a complex number;

图3为未设置磁环时直流线路不同位置处的故障电压初始行波的波形图;Fig. 3 is the waveform diagram of the initial traveling wave of the fault voltage at different positions of the DC line when the magnetic ring is not set;

图4为双磁环设置后的直流线路不同位置处的故障电压初始行波的波形图;Figure 4 is a waveform diagram of the initial traveling wave of the fault voltage at different positions of the DC line after the double magnetic ring is set;

图5为设置双磁环的直流线路不同位置处的故障监测模型示意图和得到的仿真电压初始行波示意图;5 is a schematic diagram of a fault monitoring model at different positions of a DC line with dual magnetic loops and a schematic diagram of the initial traveling wave of the obtained simulated voltage;

其中,(a)为设置双磁环的直流线路不同位置处的故障监测模型示意图;(b)为仿真得到的不同位置处的故障电压初始行波。Among them, (a) is a schematic diagram of the fault monitoring model at different positions of the DC line with dual magnetic loops; (b) is the initial traveling wave of the fault voltage at different positions obtained by simulation.

具体实施方式Detailed ways

现结合附图,对本发明的优选实施方式作详细说明。The preferred embodiments of the present invention will now be described in detail with reference to the accompanying drawings.

图1示出了本发明的一种优选实施方式的直流电缆故障类型和位置判断方法,包括以下步骤:Fig. 1 shows a method for judging the fault type and location of a DC cable according to a preferred embodiment of the present invention, which includes the following steps:

S100:在直流电缆线路上逆变器二次侧的隔离开关处和负载DC/DC变换器一次侧的隔离开关处分别各设置一个磁环。S100: A magnetic ring is respectively provided at the isolation switch of the secondary side of the inverter and the isolation switch of the primary side of the load DC/DC converter on the DC cable line.

具体的,一次侧和二次侧是按照传递功率的方向来区分的,逆变器的二次侧是指逆变器靠近负载的一侧;负载DC/DC变换器一次侧是指靠近电源的一侧。磁环的阻抗与流过磁环的信号频率有关,磁环自身直流阻抗很小,而当频率较高时,直流阻抗变大。流过磁环的信号频率,包含基波频率和谐波频率,故障时会出现暂态高频信号。当故障发生时,双磁环构建的行波边界作为故障保护动作的线边界,可使故障在最小范围内隔离,且当行波到达磁环时,发生波的折、反射,可迅速衰减故障发生所产生暂态高频信号,使得波头明显变缓,辨识度提高,同时能够对暂态过电压(VFTO)的幅值、陡度和峰值时间产生影响,使不同位置处的故障的电压初始行波差异变大。Specifically, the primary side and the secondary side are distinguished according to the direction of power transmission. The secondary side of the inverter refers to the side of the inverter close to the load; the primary side of the load DC/DC converter refers to the side close to the power supply. side. The impedance of the magnetic ring is related to the frequency of the signal flowing through the magnetic ring. The DC impedance of the magnetic ring itself is very small, and when the frequency is high, the DC impedance becomes larger. The frequency of the signal flowing through the magnetic ring includes the fundamental frequency and the harmonic frequency, and a transient high-frequency signal will appear in the event of a fault. When a fault occurs, the traveling wave boundary constructed by the double magnetic ring acts as the line boundary of the fault protection action, which can isolate the fault within the minimum range, and when the traveling wave reaches the magnetic ring, the wave is folded and reflected, which can quickly attenuate the fault The generated transient high-frequency signal makes the wave head significantly slower and improves the recognition degree. At the same time, it can affect the amplitude, steepness and peak time of the transient overvoltage (VFTO), so that the voltage of the fault at different positions can be initially The traveling wave difference becomes larger.

设置双磁环对电压初始行波的影响可参照图3和图4的对比,其中,图中实线为两磁环限定的区域内的一处故障的电压初始行波,虚线为区域外的两处故障的电压初始行波。The influence of setting the dual magnetic rings on the initial traveling wave of the voltage can refer to the comparison between Figure 3 and Figure 4. The solid line in the figure is the initial voltage traveling wave of a fault within the area defined by the two magnetic rings, and the dotted line is outside the area. The voltage initial traveling wave of two faults.

图3为未设置磁环时直流线路不同位置处的故障电压初始行波的波形图,可见,直流线路发生位于两磁环限定区域外的外部故障时产生的电压初始行波的波头间隔时间短,识别困难;且不同位置处的故障的电压初始行波的波形存在交叉,尤其是外部故障下故障电压因损失其高频成分,主含低频分量,电压起始变化平缓,幅值小,其时域波形之间相似度高,不易区分。Figure 3 is the waveform diagram of the initial traveling wave of the fault voltage at different positions of the DC line when the magnetic ring is not installed. It can be seen that the wave head interval time of the initial traveling wave of the voltage generated when an external fault located outside the limited area of the two magnetic rings occurs in the DC line It is short and difficult to identify; and the waveforms of the initial traveling waves of the faults at different positions have crosses, especially in the external faults, the fault voltage loses its high-frequency components due to the loss of its high-frequency components, mainly containing low-frequency components, the voltage initial changes gently, and the amplitude is small. The time-domain waveforms are highly similar and difficult to distinguish.

图4为双磁环设置后的直流线路不同位置处的故障电压初始行波的波形图,可见,磁环产生的磁芯损耗加速了故障电压波形的衰减,从而对特快速暂态过电压(VFTO)的幅值、陡度和峰值时间产生影响,减少了不同位置处故障的电压初始行波的交叉,增大了外部故障电压初始行波的幅值变化,减缓了行波的波头,使得不同位置处的故障电压初始行波的波形差异变大,容易区分。Figure 4 is the waveform diagram of the initial traveling wave of the fault voltage at different positions of the DC line after the double magnetic ring is set up. It can be seen that the core loss generated by the magnetic ring accelerates the attenuation of the fault voltage waveform, so that the ultra-fast transient overvoltage ( The amplitude, steepness and peak time of VFTO) have an effect, reduce the crossing of the initial traveling wave of the fault voltage at different positions, increase the amplitude change of the initial traveling wave of the external fault voltage, and slow down the wave head of the traveling wave. The waveform difference of the initial traveling wave of the fault voltage at different positions becomes larger, and it is easy to distinguish.

S200:在直流电缆线路长度范围内从线路始端到末端按照一定间隔距离取不同的位置点,采用一定的采样频率,仿真模拟前述不同的位置点的每一点处分别发生短路、断路和外部冲击这三种不同类型的故障时的一定时间窗的1模故障电压初始行波,行波的横坐标为采样点,纵坐标为电压值,得到故障仿真数据库,并按照故障位置是否在双磁环限定的区域内,将故障仿真数据库分为区内故障仿真数据库和区外故障仿真数据库,所述区内故障仿真数据库是指故障点位于两磁环限定的区域内的所有仿真电压初始行波集合,所述区外故障仿真数据库是指故障点位于两磁环限定的区域外的所有仿真电压初始行波集合。S200: Within the length of the DC cable line, from the beginning to the end of the line, take different positions at a certain interval distance, and use a certain sampling frequency to simulate the occurrence of short-circuit, open-circuit and external shock at each of the above-mentioned different positions. The initial traveling wave of 1-mode fault voltage in a certain time window for three different types of faults, the abscissa of the traveling wave is the sampling point, and the ordinate is the voltage value, and the fault simulation database is obtained. The fault simulation database is divided into the internal fault simulation database and the external fault simulation database, and the internal fault simulation database refers to the set of all simulated voltage initial traveling waves whose fault points are located in the area limited by the two magnetic rings, The out-of-area fault simulation database refers to a set of initial traveling waves of all simulated voltages whose fault points are located outside the area defined by the two magnetic rings.

具体的,所述的电压初始行波横坐标的采样点是指在特定的采样频率下,一定时间窗内,所能够采集的样本数。不同采样点亦可以表示时间窗范围内的不同时间点,设采样频率是2MHz,采样点为1处对应的采样时间为0.5μs,采样点为100处对应的采样时间为50μs,横坐标总采样点为250则对应的时间为125μs,代表时间窗为125μs。Specifically, the sampling point of the abscissa of the initial traveling wave of the voltage refers to the number of samples that can be collected within a certain time window under a certain sampling frequency. Different sampling points can also represent different time points within the time window. Suppose the sampling frequency is 2MHz, the sampling time corresponding to sampling point 1 is 0.5 μs, the sampling point 100 is corresponding to 50 μs, and the total sampling time of the abscissa is 50 μs. A point of 250 corresponds to a time of 125 μs, representing a time window of 125 μs.

利用仿真软件,根据直流线路的实际情况提供线路阻抗Z’、导纳Y’、浪涌阻抗ZC、所设置磁环的等效阻抗、直流配电网折射系数Ka和衰减系数γ等影响故障电压的参数计算电压值,其中,线路阻抗Z’是指线路上所有元器件的阻抗之和,浪涌阻抗ZC指故障时产生的故障电流在线路中以一定的速度传播并进行折反射时,线路对波传播的阻力,设置特定的采样频率f和时间窗,仿真不同位置分别发生短路、断路和外部冲击故障时的电压初始行波。其中,故障的不同位置点可从线路始端到末端按照一定的间隔距离取点。Using the simulation software, according to the actual situation of the DC line, the effects of line impedance Z', admittance Y', surge impedance Z C , the equivalent impedance of the magnetic ring set, the refraction coefficient Ka and the attenuation coefficient γ of the DC distribution network are provided. The parameters of the fault voltage calculate the voltage value, where the line impedance Z' refers to the sum of the impedances of all components on the line, and the surge impedance Z C refers to the fault current generated during the fault, which propagates at a certain speed in the line and is refracted. When , the resistance of the line to wave propagation is set, and a specific sampling frequency f and time window are set to simulate the initial traveling wave of the voltage when short-circuit, open-circuit and external impulse faults occur at different positions. Among them, the different positions of the fault can be taken from the beginning to the end of the line according to a certain interval distance.

在建立仿真模型时,为得到设置磁环后的线路阻抗,需先得到双磁环的等效电路,然后串联到仿真模型中。具体的实现过程如下:When establishing the simulation model, in order to obtain the line impedance after setting the magnetic ring, it is necessary to obtain the equivalent circuit of the double magnetic ring first, and then connect it in series to the simulation model. The specific implementation process is as follows:

首先,磁环的阻抗值Z,可通过以下公式计算得到:First, the impedance value Z of the magnetic ring can be calculated by the following formula:

Figure GDA0003699349990000081
Figure GDA0003699349990000081

其中,A为磁环的横截面积,A=(r1-r2)×d,r1为磁环外半径,r2为内半径;d为厚度;l为磁环平均周长,l=π(r1+r2);j为复数符号,μ′和μ″分别为复磁导率的实部和虚部,可见磁环的阻抗与流过磁环的信号频率f有关。Among them, A is the cross-sectional area of the magnetic ring, A=(r 1 -r 2 )×d, r 1 is the outer radius of the magnetic ring, r 2 is the inner radius; d is the thickness; l is the average circumference of the magnetic ring, l =π(r 1 +r 2 ); j is a complex symbol, μ′ and μ″ are the real and imaginary parts of the complex permeability, respectively. It can be seen that the impedance of the magnetic ring is related to the signal frequency f flowing through the magnetic ring.

然后,根据磁环阻抗与流过磁环的信号频率的频率响应曲线,进行矢量拟合,将曲线均分成N段,依顺序进行拟合(频率响应曲线可参照图2中的(a)),可得:Then, according to the frequency response curve of the impedance of the magnetic ring and the frequency of the signal flowing through the magnetic ring, perform vector fitting, divide the curve into N segments, and perform the fitting in sequence (refer to (a) in Figure 2 for the frequency response curve) ,Available:

Figure GDA0003699349990000082
Figure GDA0003699349990000082

其中,N是拟合段数,m,s,e,ri和pi均为未知参数,根据阻抗曲线用最小二乘法和迭代法计算得到,并得出磁环的RLC等效电路,如图2中的(b)。Among them, N is the number of fitting segments, m, s, e, ri and p i are all unknown parameters, which are calculated by the least squares method and iterative method according to the impedance curve, and the RLC equivalent circuit of the magnetic ring is obtained, as shown in the figure 2(b).

项m和se可分别等于电阻R和电感L:The terms m and se can be equal to the resistance R and the inductance L, respectively:

Figure GDA0003699349990000083
Figure GDA0003699349990000083

当ri和pi为实数时,r/(s-p)可以等价于图2中的(b)中左侧电路:When ri and pi are real numbers, r/(sp) can be equivalent to the circuit on the left in (b) in Figure 2:

Figure GDA0003699349990000084
Figure GDA0003699349990000084

其中,r为拟合所得的零点,p为拟合所得的极点。Among them, r is the zero point obtained by fitting, and p is the pole obtained by fitting.

当ri和pi为复数时,r/(s-p)可以等价于图2中的(b)中右侧电路:When ri and pi are complex numbers, r/(sp) can be equivalent to the circuit on the right in (b) in Figure 2:

Figure GDA0003699349990000085
Figure GDA0003699349990000085

其中,r*和p*是零点r和极点p的共轭。where r* and p* are the conjugates of zero r and pole p.

最后,所有等效电路串联可以得到磁环的等效电路,将磁环的等效电路串仿真模型中,即可完成仿真的建模过程。Finally, the equivalent circuit of the magnetic ring can be obtained by connecting all the equivalent circuits in series, and the simulation modeling process can be completed by adding the equivalent circuit string of the magnetic ring to the simulation model.

影响故障电压的其它相关参数,可按照以下方法计算得到:Other relevant parameters affecting the fault voltage can be calculated according to the following methods:

对于高压直流输电系统,直流输电线路一般采用两根相同的极线平行排布。两极输电线路之间存在电气耦合现象,采用如下公式解耦矩阵进行解耦,可得到线路的0模分量和1模分量。For HVDC transmission systems, the DC transmission lines generally use two identical pole lines arranged in parallel. There is an electrical coupling phenomenon between two-pole transmission lines. The following formula is used to decouple the decoupling matrix, and the 0-mode component and the 1-mode component of the line can be obtained.

Figure GDA0003699349990000091
Figure GDA0003699349990000091

其中,S为解耦矩阵,S-1为解耦矩阵的逆矩阵,ST为解耦矩阵的转置矩阵。Among them, S is the decoupling matrix, S -1 is the inverse matrix of the decoupling matrix, and S T is the transpose matrix of the decoupling matrix.

两根极线具有对称性,不同的极线有相等的自阻抗和自导纳,并且两根极线之间存在着互阻抗和互导纳。设每极的单位自阻抗为Z0=R0+jωL0,其中,R0为每极所有相连的电阻之和,L0为每极所有相连的电感之和,为角频率;极间的互阻抗为Zm=Rm+jωLm,其中,Rm为两极间所有电阻之和,Lm为两极间所有电感之和;每个极的自导纳为Y0=G0+jωC0,其中,G0为每极所有相连的电导之和,C0为每极相连的电容倒数之和;极间互导纳为Ym=Gm+jωCm,其中,Gm为两极间相连的电导之和,Cm为两极间相连的电容倒数之和。则直流电缆的阻抗矩阵和导纳矩阵为:The two polar lines have symmetry, different polar lines have equal self-impedance and self-admittance, and there are mutual impedance and mutual admittance between the two polar lines. Let the unit self-impedance of each pole be Z 0 =R 0 +jωL 0 , where R 0 is the sum of all connected resistances of each pole, L 0 is the sum of all connected inductances of each pole, which is the angular frequency; The mutual impedance is Z m =R m +jωL m , where R m is the sum of all the resistances between the two poles, and L m is the sum of all the inductances between the two poles; the self-admittance of each pole is Y 0 =G 0 +jωC 0 , where G 0 is the sum of all the connected conductances of each pole, C 0 is the sum of the reciprocals of the connected capacitances of each pole; the mutual admittance between poles is Y m =G m +jωC m , where G m is the connection between the two poles The sum of the conductances, C m is the sum of the reciprocals of the capacitances connected between the two poles. Then the impedance matrix and admittance matrix of the DC cable are:

Figure GDA0003699349990000092
Figure GDA0003699349990000092

线路的对角线阻抗矩阵和导纳矩阵为:Z'=S-1ZS,Y'=S-1YS (8)。The diagonal impedance matrix and admittance matrix of the line are: Z'=S -1 ZS, Y'=S -1 YS (8).

根据上述公式,可以根据线路的实际情况计算得到影响故障电压的浪涌阻抗ZC和衰减系数γ,具体通过如下公式计算得到:According to the above formula, the surge impedance Z C and the attenuation coefficient γ that affect the fault voltage can be calculated according to the actual situation of the line. Specifically, the following formula can be used to calculate:

Figure GDA0003699349990000093
Figure GDA0003699349990000093

其中,R’为设置磁环后整个线路的电阻值,L’为设置磁环后整个线路的电感值,G’为设置磁环后整个线路的电导值,C’为设置磁环后整个线路的电容值,α为衰减系数化简后的实部。Among them, R' is the resistance value of the whole circuit after setting the magnetic ring, L' is the inductance value of the whole circuit after setting the magnetic ring, G' is the conductance value of the whole circuit after setting the magnetic ring, C' is the whole circuit after setting the magnetic ring The capacitance value of , α is the real part after the attenuation coefficient is simplified.

影响故障电压的直流配电网折射系数kα,可通过如下公式计算得到:The refraction coefficient k α of the DC distribution network that affects the fault voltage can be calculated by the following formula:

Figure GDA0003699349990000101
Figure GDA0003699349990000101

其中,Zh为磁环等效阻抗,Zc为浪涌阻抗。Among them, Z h is the equivalent impedance of the magnetic ring, and Z c is the surge impedance.

实施例:基于图5中的(a)所示直流线路不同位置处的故障监测模型,仿真得到电压初始行波波形。故障监测模型参数如表1所示:Example: Based on the fault monitoring models at different positions of the DC line shown in (a) of FIG. 5 , the initial traveling wave waveform of the voltage is obtained by simulation. The parameters of the fault monitoring model are shown in Table 1:

表1 直流线路不同位置处故障监测模型参数Table 1 Parameters of the fault monitoring model at different positions of the DC line

Figure GDA0003699349990000102
Figure GDA0003699349990000102

假定发生故障的直流线路L4的长度为L=10km,H1和H2分别设置有磁环,分别假定线路始端外部故障f1处、线路末端外部故障f2处和内部故障点lx=6km的f3处发生故障;利用谐波电流源注入范围为0~1MHz的谐波,频率增量为500Hz,记录2ms时间窗口的1模电压初始行波,采样率为2MHz。其仿真所得电压初始行波波形如图5中的(b)所示。It is assumed that the length of the faulted DC line L4 is L= 10km , and magnetic rings are respectively provided in H1 and H2, and it is assumed that the external fault f1 at the beginning of the line, the external fault f2 at the end of the line, and the internal fault point lx = 6km at f3 A fault occurs; the harmonic current source is used to inject harmonics in the range of 0 to 1MHz, the frequency increment is 500Hz, and the initial traveling wave of the 1-mode voltage in the 2ms time window is recorded, and the sampling rate is 2MHz. The initial traveling wave waveform of the voltage obtained from the simulation is shown in (b) of Figure 5 .

通过图5中的(b)可见,不同位置处的电压初始行波波形差异明显,两磁环限定的区域内的内部故障电压初始行波存在一个拐点,直流电缆线路的始端和末端外部故障波形无拐点,不同故障位置的电压初始行波容易区分。无论故障类型为短路、断路还是外部冲击故障,位于两磁环限定的区域内的故障电压初始行波波形均存在拐点,区域外部故障对应的电压初始行波波形则不存在拐点。It can be seen from (b) in Figure 5 that the waveforms of the voltage initial traveling wave at different positions are obviously different. There is an inflection point in the initial traveling wave of the internal fault voltage in the area defined by the two magnetic rings, and the external fault waveforms at the beginning and end of the DC cable line There is no inflection point, and the voltage initial traveling waves at different fault locations are easy to distinguish. No matter the fault type is short circuit, open circuit or external impact fault, there is an inflection point in the initial traveling wave waveform of the fault voltage located in the area defined by the two magnetic rings, but there is no inflection point in the initial traveling wave waveform of the voltage corresponding to the fault outside the area.

在获取仿真电压初始行波故障数据库后,可以根据故障点的位置是否位于两磁环限定的区域内进一步将故障数据库分为区内故障数据库和区外故障数据库。After acquiring the initial traveling wave fault database of the simulated voltage, the fault database can be further divided into an internal fault database and an external fault database according to whether the fault point is located in the area defined by the two magnetic rings.

S300:在直流电缆线路的一端设置行波采集装置,以记录实际故障发生时与S200相同采样频率和时间窗内的1模故障电压初始行波,行波的横坐标为采样点,纵坐标为电压值,得到实际故障电压初始行波。S300: Set a traveling wave acquisition device at one end of the DC cable line to record the initial traveling wave of the 1-mode fault voltage within the same sampling frequency and time window as S200 when the actual fault occurs. The abscissa of the traveling wave is the sampling point, and the ordinate is voltage value to obtain the initial traveling wave of the actual fault voltage.

具体的,当故障发生时,利用行波采集装置记录与步骤S200仿真过程设置的相同的采样频率和时间窗的1模故障电压初始行波,用以后续的分析判断。Specifically, when a fault occurs, the traveling wave acquisition device is used to record the initial traveling wave of the 1-mode fault voltage with the same sampling frequency and time window as set in the simulation process of step S200 for subsequent analysis and judgment.

S400:根据实际故障电压初始行波的波形对故障点位于两磁环限定的区域内还是区域外进行判断,其中,若实际故障电压初始行波的波形具有拐点,则该波形对应的故障点位于两磁环限定的区域内,否则,该波形对应的故障点位于两磁环限定的区域外。S400: Judging whether the fault point is located within or outside the area defined by the two magnetic rings according to the waveform of the initial traveling wave of the actual fault voltage, wherein, if the waveform of the initial traveling wave of the actual fault voltage has an inflection point, the fault point corresponding to the waveform is located at In the area defined by the two magnetic rings, otherwise, the fault point corresponding to the waveform is located outside the area defined by the two magnetic rings.

具体的,可参照图4,可见直流线路发生内部故障时,其电压初始行波存在一个拐点,而当直流线路发生外部故障时电压初始行波不存在拐点。因此,可以根据实际故障电压初始行波的波形是否具有拐点快速判断故障点是位于两磁环限定的区域内还是区域外。Specifically, referring to FIG. 4 , it can be seen that when an internal fault occurs in the DC line, there is an inflection point in the initial voltage traveling wave, but when an external fault occurs in the DC line, there is no inflection point in the initial voltage traveling wave. Therefore, it can be quickly judged whether the fault point is located in the area defined by the two magnetic rings or outside the area according to whether the waveform of the initial traveling wave of the actual fault voltage has an inflection point.

通过波形快速对故障所处区段进行确认,在故障区段确认后可以缩小停电范围,同时可以确定后续具体定位所对应的故障仿真数据库,减少了计算量,提高对故障类型和故障位置的判断速度,使得排查人员可以及时对故障进行处理,实现快速恢复供电,确保电网地高效稳定运行。The fault section can be quickly confirmed by the waveform. After the fault section is confirmed, the power outage range can be narrowed. At the same time, the fault simulation database corresponding to the subsequent specific positioning can be determined, which reduces the amount of calculation and improves the judgment of the fault type and fault location. The speed allows the investigators to deal with the fault in time, realize the rapid restoration of power supply, and ensure the efficient and stable operation of the power grid.

S500:根据S400的判断结果,在S200得到的相应的故障仿真数据库中寻找与步骤S300中实际故障电压初始行波的皮尔森(Pearson)相关系数最大的仿真电压初始行波,该仿真电压初始行波对应的故障类型即为实际故障的故障类型,对应的位置点即为实际故障点的位置点。S500: According to the judgment result of S400, in the corresponding fault simulation database obtained in S200, search for the initial traveling wave of the simulated voltage with the largest Pearson correlation coefficient with the initial traveling wave of the actual fault voltage in step S300. The fault type corresponding to the wave is the fault type of the actual fault, and the corresponding position point is the position point of the actual fault point.

具体的,在确定了故障点位于两磁环限定的区域内还是区域外后,在步骤S200得到的对应的故障仿真数据中计算各仿真电压初始行波与实际故障电压初始行波一定时间窗内的所有采样点的皮尔森(Pearson)相关系数,其中,皮尔森(Pearson)相关系数最大的仿真电压初始行波的故障类型即为实际故障的故障类型,所在的位置即为实际故障点的位置。Specifically, after it is determined whether the fault point is located in the area defined by the two magnetic rings or outside the area, in the corresponding fault simulation data obtained in step S200, the initial traveling wave of each simulated voltage and the initial traveling wave of the actual fault voltage are calculated within a certain time window The Pearson correlation coefficients of all sampling points of .

通过皮尔森(Pearson)相关系数通过计算两电压初始行波采样点电压的协方差来衡量电压初始行波的波形细节的相似度,对电压初始行波整体变化趋势进行相似度判断,以准确判断故障类型,定位故障点位置。The similarity of the waveform details of the initial traveling wave of the voltage is measured by the Pearson correlation coefficient by calculating the covariance of the voltage at the sampling points of the initial traveling wave of the two voltages, and the similarity of the overall change trend of the initial traveling wave of the voltage is judged to accurately judge. Fault type, locate the fault point.

作为一个优选的实施方式,步骤S500中的皮尔森(Pearson)相关系数可通过如下计算方式得到:As a preferred embodiment, the Pearson correlation coefficient in step S500 can be obtained by the following calculation method:

Figure GDA0003699349990000121
Figure GDA0003699349990000121

其中,xi和xj为故障仿真数据库中的一个电压初始行波的第i个和第j个采样点对应的电压值,yi和yj为实际故障电压初始行波的第i个和第j个采样点对应的电压值,N为一定时间窗的采样点个数,i、j的取值范围为[1,N]。Among them, x i and x j are the voltage values corresponding to the i-th and j-th sampling points of an initial voltage traveling wave in the fault simulation database, and y i and y j are the i-th sum of the actual fault voltage initial traveling wave The voltage value corresponding to the jth sampling point, N is the number of sampling points in a certain time window, and the value range of i and j is [1, N].

作为一个优选的实施方式,直流电缆故障类型和位置判断方法,还包括步骤S600:将S500得到的线路故障类型和位置上传至故障处理中心。As a preferred embodiment, the method for judging the fault type and location of the DC cable further includes step S600: uploading the type and location of the line fault obtained in S500 to the fault processing center.

作为一个优选的实施方式,步骤S600中上传是采用LoRa无线通信方式,外置GPRS基站,通过5G公网实现。As a preferred implementation manner, the uploading in step S600 adopts LoRa wireless communication mode, an external GPRS base station is installed, and is realized through the 5G public network.

作为一个优选的实施方式,磁环为开口式磁环,磁环内径与线缆外径相近。As a preferred embodiment, the magnetic ring is an open magnetic ring, and the inner diameter of the magnetic ring is similar to the outer diameter of the cable.

开口式磁环在直流配电线路的两端安装方便,且成本较低。实际工程中,选用磁环内径与线缆外径相近,方便磁环安装和固定。The split magnetic ring is easy to install at both ends of the DC distribution line, and the cost is low. In the actual project, the inner diameter of the magnetic ring is selected to be similar to the outer diameter of the cable, which is convenient for the installation and fixing of the magnetic ring.

为了实施上述直流电缆故障类型和位置判断方法,本发明还提供了直流电缆故障类型和位置判断系统,包括:In order to implement the above DC cable fault type and location determination method, the present invention also provides a DC cable fault type and location determination system, including:

两磁环,分别设置在直流输电线路范围上逆变器二次侧的隔离开关处和负载DC/DC变换器一次侧的隔离开关处;The two magnetic rings are respectively arranged at the isolation switch of the secondary side of the inverter and the isolation switch of the primary side of the load DC/DC converter in the range of the DC transmission line;

仿真单元,用于在直流电缆线路长度范围内从线路始端到末端按照一定间隔距离取不同的位置点,采用一定的采样频率,仿真模拟前述不同的位置点的每一点处发生短路、断路、外部冲击这三种不同的故障类型时的一定时间窗的1模故障电压初始行波,行波的横坐标为采样点,纵坐标为电压值,得到故障仿真数据库,并按照故障位置是否在两磁环限定的区域内,将故障仿真数据库分为区内故障仿真数据库和区外故障仿真数据库,所述区内故障仿真数据库是指故障点位于两磁环限定的区域内的所有仿真电压初始行波集合,所述区外故障仿真数据库是指故障点位于两磁环限定的区域外的所有仿真电压初始行波集合;The simulation unit is used to take different position points according to a certain interval distance from the beginning to the end of the DC cable line, and use a certain sampling frequency to simulate the occurrence of short-circuit, open-circuit, external The initial traveling wave of the 1-mode fault voltage in a certain time window when the three different fault types are impacted, the abscissa of the traveling wave is the sampling point, and the ordinate is the voltage value. In the area limited by the ring, the fault simulation database is divided into an internal fault simulation database and an external fault simulation database. The internal fault simulation database refers to all the simulated voltage initial traveling waves whose fault points are located in the area limited by the two magnetic rings. set, the out-of-area fault simulation database refers to a set of initial traveling waves of all simulated voltages whose fault points are located outside the area defined by the two magnetic rings;

行波采集单元,设置在直流电缆线路的一端,用于记录实际故障发生时与仿真单元所述相同采样频率与相同时间窗内的1模故障电压初始行波,行波的横坐标为采样点,纵坐标为电压值,得到实际故障电压初始行波;The traveling wave acquisition unit, set at one end of the DC cable line, is used to record the initial traveling wave of the 1-mode fault voltage within the same sampling frequency and the same time window as described in the simulation unit when the actual fault occurs, and the abscissa of the traveling wave is the sampling point , the ordinate is the voltage value, and the initial traveling wave of the actual fault voltage is obtained;

故障位置区域预判单元,根据行波采集单元得到的实际故障电压初始行波的波形对故障点位于两磁环限定的区域内还是区域外进行判断,其中,若实际故障电压初始行波的波形具有拐点,则该波形对应的故障点位于两磁环限定的区域内,否则,该波形对应的故障点位于两磁环限定的区域外;The fault location area prediction unit judges whether the fault point is located in the area defined by the two magnetic rings or outside the area according to the waveform of the initial traveling wave of the actual fault voltage obtained by the traveling wave acquisition unit. If there is an inflection point, the fault point corresponding to the waveform is located in the area limited by the two magnetic rings, otherwise, the fault point corresponding to the waveform is located outside the area limited by the two magnetic rings;

故障类型及位置判断单元,根据故障位置区域判断单元的判断结果,在仿真单元得到的对应的故障仿真数据库中寻找与行波采集单元得到的实际故障电压初始行波的皮尔森(Pearson)相关系数最大的仿真电压初始行波,该仿真电压初始行波对应的故障类型即为实际故障的故障类型,对应的位置点即为实际故障的位置点。The fault type and location judging unit, according to the judgment result of the fault location area judging unit, searches for the Pearson correlation coefficient with the initial traveling wave of the actual fault voltage obtained by the traveling wave acquisition unit in the corresponding fault simulation database obtained by the simulation unit The maximum simulated voltage initial traveling wave, the fault type corresponding to the simulated voltage initial traveling wave is the fault type of the actual fault, and the corresponding position point is the actual fault position point.

作为一个优选的实施方式,判断单元的皮尔森(Pearson)相关系数可通过如下计算方式得到:As a preferred embodiment, the Pearson correlation coefficient of the judgment unit can be obtained by the following calculation method:

Figure GDA0003699349990000131
Figure GDA0003699349990000131

其中,xi和xj为故障仿真数据库中的一个电压初始行波的第i个和第j个采样点对应的电压值,yi和yj为实际故障电压初始行波的第i个和第j个采样点对应的电压值,N为一定时间窗的采样点个数,i、j的取值范围为[1,N]。Among them, x i and x j are the voltage values corresponding to the i-th and j-th sampling points of an initial voltage traveling wave in the fault simulation database, and y i and y j are the i-th sum of the actual fault voltage initial traveling wave The voltage value corresponding to the jth sampling point, N is the number of sampling points in a certain time window, and the value range of i and j is [1, N].

作为一个优选的实施方式,磁环为开口式磁环,磁环内径与线缆外径相近。As a preferred embodiment, the magnetic ring is an open magnetic ring, and the inner diameter of the magnetic ring is similar to the outer diameter of the cable.

作为一个优选的实施方式,直流电缆故障类型和位置判断系统,还包括传输单元,用于将故障类型及位置判断单元得到的线路故障类型和位置上传至故障处理中心。As a preferred embodiment, the DC cable fault type and location judging system further includes a transmission unit for uploading the line fault type and location obtained by the fault type and location judging unit to the fault processing center.

作为一个优选的实施方式,传输单元包括LoRa基站及GPRS天线。As a preferred embodiment, the transmission unit includes a LoRa base station and a GPRS antenna.

与现有技术相比,首先,本发明提供了一种可以准确高效地同时判断出直流电缆线路故障的具体类型和发生位置的手段,只需对电压初始行波进行相似度比较,舍弃了现有单端法通过获得故障行波传播到线路两端的时间差、进而实现故障精确定位的方式,不要求高精度的暂态电压测量装置,显著降低了电缆故障监测成本并极大提高了监测人员的工作效率,使得监测人员可以快速地对故障位置进行判断、缩小故障发生时的停电范围,同时可以马上根据故障类型迅速安排排查人员和相应排查措施,显著缩短故障排查时间,使得电缆线路可以快速恢复正常状态,确保电网的高效稳定运行;同时,由于本发明实施时,建立起了区内故障仿真数据库和区外故障仿真数据库,且先识别实际故障发生在双磁环限定的区域内、还是区域外,而后将实际故障电压初始行波和相应仿真数据库内的仿真电压初始行波进行拟合求取皮尔森相关系数,相比于不区分区内和区外故障、将实际故障电压初始行波的波形与全数据库内的仿真波形拟合的技术手段,极大降低了拟合计算的工作量,进一步提高了对故障位置和类型的判断速度,使得电网可以更快地恢复正常状态,对电网用户的正常生产生活的影响降到最低。Compared with the prior art, first of all, the present invention provides a method that can accurately and efficiently simultaneously determine the specific type and location of DC cable line faults. There is a single-ended method that can accurately locate the fault by obtaining the time difference between the fault traveling wave and the two ends of the line, and does not require a high-precision transient voltage measurement device, which significantly reduces the cost of cable fault monitoring and greatly improves the monitoring personnel. The work efficiency enables the monitoring personnel to quickly judge the fault location and reduce the power outage range when the fault occurs. At the same time, they can quickly arrange the troubleshooting personnel and corresponding troubleshooting measures according to the type of the fault, which significantly shortens the troubleshooting time and enables the cable line to recover quickly. In the normal state, the high-efficiency and stable operation of the power grid is ensured; at the same time, when the present invention is implemented, an internal fault simulation database and an external fault simulation database are established, and it is first identified whether the actual fault occurs in the area limited by the double magnetic ring or the area Then, the initial traveling wave of the actual fault voltage and the initial traveling wave of the simulated voltage in the corresponding simulation database are fitted to obtain the Pearson correlation coefficient. The technical means of fitting the simulated waveforms in the whole database with the simulated waveforms in the whole database greatly reduces the workload of the fitting calculation, further improves the judgment speed of the fault location and type, and enables the power grid to return to a normal state faster. The impact on the normal production and life of users is minimized.

另外,双磁环的设置,一方面可以有效减缓行波波头,解决了单端行波法中波头辨识困难、不够准确的问题,实现了单端行波法在直流配电网的应用;另一方面,磁环能够对暂态过电压(VFTO)的幅值、陡度和峰值时间产生影响,使不同位置处的电压初始行波波形差异变大,实现通过波形清晰区分不同位置处的故障;再者,在建立故障仿真数据库时,由双磁环带来的波头易识别,不同位置处的外部故障行波波形差异明显,避免了相似故障波形的出现,从而避免了定位过程的相似波形的混淆,使得通过仿真建模进行故障定位更准确、可靠;皮尔森(Pearson)相关系数通过计算两电压初始行波采样点的协方差来衡量两个电压初始行波的波形细节,进而评估两个行波变化趋势的相似度,比计算两个电压初始行波的采样点的标准差进行相似度分析更加严谨,通过对电压初始行波的细节和变化趋势进行相似度分析评估,实现故障位置的准确定位。并且采用单端故障定位法,对硬件要求低,成本低,容易实现。In addition, the setting of the double magnetic ring can effectively slow down the traveling wave head, solve the problem of difficult and inaccurate identification of the wave head in the single-ended traveling wave method, and realize the application of the single-ended traveling wave method in the DC distribution network; On the one hand, the magnetic ring can affect the amplitude, steepness and peak time of the transient overvoltage (VFTO), so that the difference in the initial traveling wave waveform of the voltage at different positions becomes larger, and the faults at different positions can be clearly distinguished by the waveform. Furthermore, when the fault simulation database is established, the wave head brought by the double magnetic ring is easy to identify, and the external fault traveling wave waveforms at different positions are obviously different, which avoids the appearance of similar fault waveforms, and thus avoids the similarity of the positioning process. The confusion of waveforms makes fault location more accurate and reliable through simulation modeling; the Pearson correlation coefficient measures the waveform details of the initial traveling waves of the two voltages by calculating the covariance of the sampling points of the initial traveling waves of the two voltages, and then evaluates The similarity of the change trend of the two traveling waves is more rigorous than the similarity analysis by calculating the standard deviation of the sampling points of the two initial traveling waves of the voltage. accurate positioning of the location. In addition, the single-ended fault location method is adopted, which has low hardware requirements, low cost and easy implementation.

需要说明的是,本发明中采用步骤编号(字母或数字编号)来指代某些具体的方法步骤,仅仅是出于描述方便和简洁的目的,而绝不是用字母或数字来限制这些方法步骤的顺序。本领域的技术人员能够明了,相关方法步骤的顺序,应由技术本身决定,不应因步骤编号的存在而被不适当地限制。It should be noted that, in the present invention, step numbers (letters or numbers) are used to refer to some specific method steps, which are only for the purpose of convenience and brevity of description, and are not intended to limit these method steps with letters or numbers. Order. Those skilled in the art can understand that the sequence of related method steps should be determined by the technology itself, and should not be unduly limited due to the existence of step numbers.

本领域的技术人员能够理解的是,在不冲突的前提下,上述各优选方案可以自由地组合、叠加。Those skilled in the art can understand that, under the premise of no conflict, the above preferred solutions can be freely combined and superimposed.

应当理解,上述的实施方式仅是示例性的,而非限制性的,在不偏离本发明的基本原理的情况下,本领域的技术人员可以针对上述细节做出的各种明显的或等同的修改或替换,都将包含于本发明的权利要求范围内。It should be understood that the above-mentioned embodiments are only exemplary rather than restrictive, and those skilled in the art can make various obvious or equivalent to the above-mentioned details without departing from the basic principles of the present invention. Modifications or substitutions will be included within the scope of the claims of the present invention.

Claims (10)

1.一种直流电缆故障类型和位置判断方法,其特征在于,包括以下步骤:1. A method for judging fault type and position of a DC cable, characterized in that, comprising the following steps: S100:在直流电缆线路上逆变器二次侧的隔离开关处和负载DC/DC变换器一次侧的隔离开关处分别各设置一个磁环;S100: A magnetic ring is respectively set at the isolation switch of the secondary side of the inverter and the isolation switch of the primary side of the load DC/DC converter on the DC cable line; S200:在直流电缆线路长度范围内从线路始端到末端按照一定间隔距离取不同的位置点,采用一定的采样频率,仿真模拟前述不同的位置点的每一点处分别发生短路、断路和外部冲击这三种不同的故障类型时的一定时间窗的1模故障电压初始行波,行波的横坐标为采样点,纵坐标为电压值,得到故障仿真数据库,并按照故障位置是否在两磁环限定的区域内,将故障仿真数据库分为区内故障仿真数据库和区外故障仿真数据库,所述区内故障仿真数据库是指故障点位于两磁环限定的区域内的所有仿真电压初始行波集合,所述区外故障仿真数据库是指故障点位于两磁环限定的区域外的所有仿真电压初始行波集合;S200: Within the length of the DC cable line, from the beginning to the end of the line, take different positions at a certain interval distance, and use a certain sampling frequency to simulate the occurrence of short-circuit, open-circuit and external shock at each of the above-mentioned different positions. The initial traveling wave of the 1-mode fault voltage in a certain time window for three different fault types, the abscissa of the traveling wave is the sampling point, and the ordinate is the voltage value, the fault simulation database is obtained, and the fault position is limited by the two magnetic rings. The fault simulation database is divided into the internal fault simulation database and the external fault simulation database, and the internal fault simulation database refers to the set of all simulated voltage initial traveling waves whose fault points are located in the area limited by the two magnetic rings, The out-of-area fault simulation database refers to a set of initial traveling waves of all simulated voltages where the fault point is located outside the area defined by the two magnetic rings; S300:在直流电缆线路的一端设置行波采集装置,以记录实际故障发生时与S200相同采样频率和时间窗内的1模故障电压初始行波,行波的横坐标为采样点,纵坐标为电压值,得到实际故障电压初始行波;S300: Set a traveling wave acquisition device at one end of the DC cable line to record the initial traveling wave of the 1-mode fault voltage within the same sampling frequency and time window as S200 when the actual fault occurs. The abscissa of the traveling wave is the sampling point, and the ordinate is voltage value to obtain the initial traveling wave of the actual fault voltage; S400:根据实际故障电压初始行波的波形对故障点位于两磁环限定的区域内还是区域外进行判断,其中,若实际故障电压初始行波的波形具有拐点,则该波形对应的故障点位于两磁环限定的区域内,否则,该波形对应的故障点位于两磁环限定的区域外;S400: Judging whether the fault point is located within or outside the area defined by the two magnetic rings according to the waveform of the initial traveling wave of the actual fault voltage, wherein, if the waveform of the initial traveling wave of the actual fault voltage has an inflection point, the fault point corresponding to the waveform is located at In the area limited by the two magnetic rings, otherwise, the fault point corresponding to the waveform is located outside the area limited by the two magnetic rings; S500:根据S400的判断结果,在S200得到的相应的故障仿真数据库中寻找与步骤S300中实际故障电压初始行波的皮尔森(Pearson)相关系数最大的仿真电压初始行波,该仿真电压初始行波对应的故障类型即为实际故障的故障类型,对应的位置点即为实际故障的位置点。S500: According to the judgment result of S400, in the corresponding fault simulation database obtained in S200, search for the initial traveling wave of the simulated voltage with the largest Pearson correlation coefficient with the initial traveling wave of the actual fault voltage in step S300. The fault type corresponding to the wave is the fault type of the actual fault, and the corresponding position point is the position point of the actual fault. 2.根据权利要求1所述的直流电缆故障类型和位置判断方法,其特征在于,步骤S500中的皮尔森(Pearson)相关系数通过如下计算方式得到:2. DC cable fault type and location judgment method according to claim 1, is characterized in that, the Pearson (Pearson) correlation coefficient in the step S500 is obtained by the following calculation method:
Figure FDA0003699349980000021
Figure FDA0003699349980000021
其中,xi和xj为故障仿真数据库中的一个电压初始行波的第i个和第j个采样点对应的电压值,yi和yj为实际故障电压初始行波的第i个和第j个采样点对应的电压值,N为一定时间窗的采样点个数,i、j的取值范围为[1,N]。Among them, x i and x j are the voltage values corresponding to the i-th and j-th sampling points of an initial voltage traveling wave in the fault simulation database, and y i and y j are the i-th sum of the actual fault voltage initial traveling wave The voltage value corresponding to the jth sampling point, N is the number of sampling points in a certain time window, and the value range of i and j is [1, N].
3.根据权利要求1或2所述的直流电缆故障类型和位置判断方法,其特征在于,还包括步骤S600:将S500得到的线路故障类型和位置上传至故障处理中心。3. The method for judging the fault type and location of a DC cable according to claim 1 or 2, further comprising step S600: uploading the type and location of the line fault obtained in S500 to the fault processing center. 4.根据权利要求3所述的直流电缆故障类型和位置判断方法,其特征在于,步骤S600中,所述的上传是采用LoRa无线通信方式,外置GPRS基站,通过5G公网实现。4. The method for judging the fault type and location of a DC cable according to claim 3, characterized in that, in step S600, the uploading adopts LoRa wireless communication mode, an external GPRS base station, and is realized through the 5G public network. 5.根据权利要求1或2所述的直流电缆故障类型和位置判断方法,其特征在于,所述磁环为开口式磁环,所述磁环内径与线缆外径相近。5 . The method for judging the fault type and position of a DC cable according to claim 1 or 2 , wherein the magnetic ring is a split magnetic ring, and the inner diameter of the magnetic ring is similar to the outer diameter of the cable. 6 . 6.一种直流电缆故障类型和位置判断系统,其特征在于,包括:6. A DC cable fault type and location judgment system, characterized in that, comprising: 两磁环,分别设置在直流输电线路上逆变器二次侧的隔离开关处和负载DC/DC变换器一次侧的隔离开关处;The two magnetic rings are respectively arranged at the isolation switch of the secondary side of the inverter and the isolation switch of the primary side of the load DC/DC converter on the DC transmission line; 仿真单元,用于在直流电缆线路长度范围内从线路始端到末端按照一定间隔距离取不同的位置点,采用一定的采样频率,仿真模拟前述不同的位置点的每一点处发生短路、断路、外部冲击这三种不同的故障类型时的一定时间窗的1模故障电压初始行波,行波的横坐标为采样点,纵坐标为电压值,得到故障仿真数据库,并按照故障位置是否在两磁环限定的区域内,将故障仿真数据库分为区内故障仿真数据库和区外故障仿真数据库,所述区内故障仿真数据库是指故障点位于两磁环限定的区域内的所有仿真电压初始行波集合,所述区外故障仿真数据库是指故障点位于两磁环限定的区域外的所有仿真电压初始行波集合;The simulation unit is used to take different position points according to a certain interval distance from the beginning to the end of the DC cable line, and use a certain sampling frequency to simulate the occurrence of short-circuit, open-circuit, external The initial traveling wave of the 1-mode fault voltage in a certain time window when the three different fault types are impacted, the abscissa of the traveling wave is the sampling point, and the ordinate is the voltage value. In the area limited by the ring, the fault simulation database is divided into an internal fault simulation database and an external fault simulation database. The internal fault simulation database refers to all the simulated voltage initial traveling waves whose fault points are located in the area limited by the two magnetic rings. set, and the out-of-area fault simulation database refers to a set of initial traveling waves of all simulated voltages whose fault points are located outside the area defined by the two magnetic rings; 行波采集单元,设置在直流电缆线路的一端,用于记录实际故障发生时与仿真单元相同采样频率与相同时间窗内的1模故障电压初始行波,行波的横坐标为采样点,纵坐标为电压值,得到实际故障电压初始行波;The traveling wave acquisition unit, set at one end of the DC cable line, is used to record the initial traveling wave of the 1-mode fault voltage within the same sampling frequency and the same time window as the simulation unit when the actual fault occurs. The abscissa of the traveling wave is the sampling point, and the longitudinal The coordinate is the voltage value, and the initial traveling wave of the actual fault voltage is obtained; 故障位置区域预判单元,根据行波采集单元得到的实际故障电压初始行波的波形对故障点位于两磁环限定的区域内还是区域外进行判断,其中,若实际故障电压初始行波的波形具有拐点,则该波形对应的故障点位于两磁环限定的区域内,否则,该波形对应的故障点位于两磁环限定的区域外;The fault location area prediction unit judges whether the fault point is located in the area defined by the two magnetic rings or outside the area according to the waveform of the initial traveling wave of the actual fault voltage obtained by the traveling wave acquisition unit. If there is an inflection point, the fault point corresponding to the waveform is located in the area limited by the two magnetic rings, otherwise, the fault point corresponding to the waveform is located outside the area limited by the two magnetic rings; 故障类型及位置判断单元,根据故障位置区域预判单元的判断结果,在仿真单元得到的对应的故障仿真数据库中寻找与行波采集单元得到的实际故障电压初始行波的皮尔森(Pearson)相关系数最大的仿真电压初始行波,该仿真电压初始行波对应的故障类型即为实际故障的故障类型,对应的位置点即为实际故障的位置点。The fault type and location judgment unit searches for the Pearson correlation of the initial traveling wave of the actual fault voltage obtained by the traveling wave acquisition unit in the corresponding fault simulation database obtained by the simulation unit according to the judgment result of the fault location area prediction unit The initial traveling wave of the simulated voltage with the largest coefficient, the fault type corresponding to the initial traveling wave of the simulated voltage is the fault type of the actual fault, and the corresponding position point is the position point of the actual fault. 7.根据权利要求6所述的直流电缆故障类型和位置判断系统,其特征在于,所述判断单元的皮尔森(Pearson)相关系数通过如下计算方式得到:7. The DC cable fault type and position judgment system according to claim 6, wherein the Pearson (Pearson) correlation coefficient of the judgment unit is obtained by the following calculation method:
Figure FDA0003699349980000031
Figure FDA0003699349980000031
其中,xi和xj为故障仿真数据库中的一个电压初始行波的第i个和第j个采样点对应的电压值,yi和yj为实际故障电压初始行波的第i个和第j个采样点对应的电压值,N为一定时间窗的采样点个数,i、j的取值范围为[1,N]。Among them, x i and x j are the voltage values corresponding to the i-th and j-th sampling points of an initial voltage traveling wave in the fault simulation database, and y i and y j are the i-th sum of the actual fault voltage initial traveling wave The voltage value corresponding to the jth sampling point, N is the number of sampling points in a certain time window, and the value range of i and j is [1, N].
8.根据权利要求6或7所述的直流电缆故障类型和位置判断系统,其特征在于,所述磁环为开口式磁环,所述磁环内径与线缆外径相近。8 . The system for judging the fault type and position of a DC cable according to claim 6 or 7 , wherein the magnetic ring is a split magnetic ring, and the inner diameter of the magnetic ring is similar to the outer diameter of the cable. 9 . 9.根据权利要求6或7所述的直流电缆故障类型和位置判断系统,其特征在于,还包括传输单元,用于将故障类型及位置判断单元得到的线路故障类型和位置上传至故障处理中心。9. The DC cable fault type and position judgment system according to claim 6 or 7, further comprising a transmission unit for uploading the line fault type and position obtained by the fault type and position judgment unit to the fault processing center . 10.根据权利要求9所述的直流电缆故障类型和位置判断系统,其特征在于,所述传输单元,包括LoRa基站及GPRS天线。10. The DC cable fault type and location judgment system according to claim 9, wherein the transmission unit comprises a LoRa base station and a GPRS antenna.
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