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CN115902530A - Earth electrode line fault distance measurement method and system - Google Patents

Earth electrode line fault distance measurement method and system Download PDF

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CN115902530A
CN115902530A CN202310228193.5A CN202310228193A CN115902530A CN 115902530 A CN115902530 A CN 115902530A CN 202310228193 A CN202310228193 A CN 202310228193A CN 115902530 A CN115902530 A CN 115902530A
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fault
distance measurement
line
signal
pulse signal
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束洪春
代月
田鑫萃
曹耀仁
管普
龚峰
龙宇
李聪
管诚
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Kunming University of Science and Technology
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    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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Abstract

本发明涉及一种接地极线路故障测距方法及系统,属于电力系统继电保护技术领域。本发明首先利用信号发生器向接地极线路注入脉冲信号,根据行波网格图推导行波波头的数学表达式,在全线长范围内设置虚拟故障点并构造虚拟矩阵,计算虚拟故障点的能量,根据能量的最大值及该值的极性即可确定故障距离。本发明针对直流接地极线路进行故障测距,与现有技术相比,本发明不需要对第二个波头的性质进行辨识,可靠性较高。

Figure 202310228193

The invention relates to a grounding electrode line fault distance measurement method and system, and belongs to the technical field of electric power system relay protection. In the present invention, the signal generator is used to inject pulse signals into the ground electrode line, and the mathematical expression of the traveling wave head is derived according to the traveling wave grid diagram, and the virtual fault points are set within the full line length and a virtual matrix is constructed to calculate the energy of the virtual fault points. The fault distance can be determined according to the maximum value of energy and the polarity of this value. The present invention performs fault distance measurement on DC grounding pole lines. Compared with the prior art, the present invention does not need to identify the nature of the second wave head, and has high reliability.

Figure 202310228193

Description

一种接地极线路故障测距方法及系统A method and system for measuring fault distance of grounding electrode line

技术领域Technical Field

本发明涉及一种接地极线路故障测距方法及系统,属于电力系统继电保护技术领域。The invention relates to a grounding electrode line fault distance measurement method and system, belonging to the technical field of power system relay protection.

背景技术Background Art

接地极系统是超(特)高压直流输电系统中特有的、不可或缺的重要组成部分,由接地极线路和接地极极址构成,接地极线路通常采用并行的架空线。为防止接地极入地电流对交流侧系统的干扰,一般接地极极址接地点距离换流站几十甚至超过一百公里。接地极线路的主要作用是为直流电流提供通路,其发生故障会直接影响直流输电系统的正常运行。接地极线路发生故障时,由于直流电弧不存在自然过零点,不易熄灭,需要将直流系统停运才能熄弧,因此,快速确定故障位置并排除故障时确保直流输电系统安全稳定运行的关键技术。然而在直流系统双极对称运行情况下,接地极线路中不平衡电流及系统中性点电位都非常小,接地极极址电阻也很小,因此接地极线路一旦发生故障,其故障附加分量和故障特征非常小,对此传统的在线被动式故障检测定位技术与装置难以启动,方法不再适用。The grounding electrode system is a unique and indispensable component of the ultra-high voltage direct current transmission system. It consists of a grounding electrode line and a grounding electrode site. The grounding electrode line usually uses parallel overhead lines. In order to prevent the grounding electrode from interfering with the AC side system, the grounding point of the grounding electrode site is generally tens or even more than one hundred kilometers away from the converter station. The main function of the grounding electrode line is to provide a path for the DC current. Its failure will directly affect the normal operation of the DC transmission system. When a fault occurs in the grounding electrode line, since the DC arc does not have a natural zero crossing point, it is not easy to extinguish. The DC system needs to be shut down to extinguish the arc. Therefore, it is a key technology to quickly determine the fault location and eliminate the fault to ensure the safe and stable operation of the DC transmission system. However, under the condition of bipolar symmetrical operation of the DC system, the unbalanced current in the grounding electrode line and the system neutral point potential are very small, and the grounding electrode site resistance is also very small. Therefore, once a fault occurs in the grounding electrode line, its fault additional component and fault characteristics are very small. For this reason, the traditional online passive fault detection and positioning technology and device are difficult to start, and the method is no longer applicable.

发明内容Summary of the invention

本发明要解决的技术问题是提供一种接地极线路故障测距方法及其系统,用以解决传统被动式故障检测定位技术难以启动的问题以及现有方法对行波波头到达时刻标定不准确而导致测距不准的问题。The technical problem to be solved by the present invention is to provide a grounding line fault distance measurement method and system thereof, so as to solve the problem that the traditional passive fault detection and positioning technology is difficult to start and the problem that the existing method does not accurately calibrate the arrival time of the traveling wave head, resulting in inaccurate distance measurement.

本发明的技术方案是:一种接地极线路故障测距方法,在接地极线路量测端接入脉冲信号发生装置,利用脉冲信号作为行波源注入接地极线路,实现平衡运行方式下的接地极线路故障测距。由于线模电压行波的第一个波头和第二个波头之间的距离为2倍的故障距离,两个相同的线模电压波形,第一个波形向右移动形成第一个虚拟矩阵、第二个波形向左移动第二个虚拟矩阵,当第一个波形的第一个波头与第二个波形的第二个波头相遇时,两个波形各自移动了1倍的故障距离,因此测距函数在波头相遇处形成最大的突变点,该点即为反映故障距离信息的点。The technical solution of the present invention is: a method for measuring the fault distance of a grounding electrode line, a pulse signal generating device is connected to the measuring end of the grounding electrode line, and the pulse signal is used as a traveling wave source to inject into the grounding electrode line to achieve the fault distance measurement of the grounding electrode line under the balanced operation mode. Since the distance between the first wave head and the second wave head of the line mode voltage traveling wave is twice the fault distance, two identical line mode voltage waveforms, the first waveform moves to the right to form a first virtual matrix, and the second waveform moves to the left to form a second virtual matrix. When the first wave head of the first waveform meets the second wave head of the second waveform, the two waveforms each move 1 times the fault distance, so the ranging function forms the largest mutation point at the wave head meeting point, which is the point reflecting the fault distance information.

其具体步骤为:The specific steps are:

Step1:利用信号发生器向接地极线路注入脉冲信号。执行该步骤的依据在于,在高压直流输电系统中双极各参数对称、双极平衡运行时,接地极线路处于零电压零电流的状态,当接地极线路发生故障时,故障点不能产生故障行波信号,因此需要在接地极线路量测端接入脉冲信号发生装置,利用脉冲信号作为行波源注入接地极线路,实现平衡运行方式下的接地极线路故障测距。信号发生器产生的信号经电容C耦合至接地极线路,该电容器对高频脉冲信号呈现为低阻抗,对工频直流呈现为高阻抗,阻止接地极引线在正常工作状态下的直流进入故障监测装置,造成对设备的损害。Step 1: Use a signal generator to inject a pulse signal into the grounding electrode line. The basis for executing this step is that in the high-voltage direct current transmission system, when the bipolar parameters are symmetrical and the bipolar is in balanced operation, the grounding electrode line is in a state of zero voltage and zero current. When a fault occurs in the grounding electrode line, the fault point cannot generate a fault traveling wave signal. Therefore, it is necessary to connect a pulse signal generator to the measuring end of the grounding electrode line, and use the pulse signal as a traveling wave source to inject the grounding electrode line to achieve the grounding electrode line fault distance measurement under the balanced operation mode. The signal generated by the signal generator is coupled to the grounding electrode line through the capacitor C. The capacitor presents low impedance to high-frequency pulse signals and high impedance to industrial frequency DC, preventing the DC of the grounding electrode lead from entering the fault monitoring device under normal working conditions, causing damage to the equipment.

Step2:根据所述脉冲信号在故障点的响应,利用信号采集装置采集故障电压行波数据。Step 2: According to the response of the pulse signal at the fault point, the fault voltage traveling wave data is collected by using a signal acquisition device.

Step2.1:利用接地极线路站端的采集装置对线路的故障行波信号进行采集。该步骤的实现方法在于,在实际运行的直流输电系统接地极线路中,电流需要采用光学互感器变送得到,其截止频率通常不大于10kHz,不能用其来获取电流行波。因此在中性母线上装设过电压电容吸收器,当线路发生故障时,会有电流行波流过电容器,在过电压电容器吸收支路上穿套一个空心线圈CT来获取行波。Step 2.1: Use the acquisition device at the grounding electrode line station to collect the fault traveling wave signal of the line. The implementation method of this step is that in the grounding electrode line of the actual DC transmission system, the current needs to be transmitted by an optical transformer, and its cut-off frequency is usually not more than 10kHz, which cannot be used to obtain the current traveling wave. Therefore, an overvoltage capacitor absorber is installed on the neutral bus. When a fault occurs in the line, a current traveling wave will flow through the capacitor, and a hollow coil CT is put on the overvoltage capacitor absorption branch to obtain the traveling wave.

Step2.2:利用Karenbauer变换矩阵对故障行波信号进行解耦,获取接地极线路线模电压行波。执行该步骤的依据在于,接地极线路无故障时,线模分量为零,仅存在零模分量,然而,接地极线路发生故障时,线模分量不再为零。零模分量传播至极址点时,其反射波大部分被极址电阻吸收,因此在量测端不易检测和捕捉到极址点反射回来的零模电压和电流,其次零模和线模的衰减特性随频率变化较大,线模通道的通频带很宽,线模分量畸变很小,而零模通道的通频带很窄,易发生畸变。且考虑到注入接地极两回线路的脉冲信号大小相等极性相同,接地极线路未发生故障时,线模分量为零,发生故障时,初始脉冲信号经线模变换后被消除,进而消除初始行波对反射波的影响,因此利用线模分量进行接地极线路的故障测距。Step 2.2: Use the Karenbauer transformation matrix to decouple the fault traveling wave signal and obtain the line mode voltage traveling wave of the grounding electrode line. The basis for executing this step is that when the grounding electrode line is fault-free, the line mode component is zero and only the zero mode component exists. However, when the grounding electrode line fails, the line mode component is no longer zero. When the zero mode component propagates to the pole address point, most of its reflected wave is absorbed by the pole address resistance. Therefore, it is not easy to detect and capture the zero mode voltage and current reflected from the pole address point at the measurement end. Secondly, the attenuation characteristics of the zero mode and line mode vary greatly with frequency. The passband of the line mode channel is very wide, and the line mode component distortion is very small, while the passband of the zero mode channel is very narrow and prone to distortion. And considering that the pulse signals injected into the two circuits of the grounding electrode are equal in size and polarity, when the grounding electrode line is not faulty, the line mode component is zero. When a fault occurs, the initial pulse signal is eliminated after the line mode transformation, thereby eliminating the influence of the initial traveling wave on the reflected wave. Therefore, the line mode component is used to measure the fault distance of the grounding electrode line.

Step3:对所述故障电压行波信号进行奇数次幂变换。执行该步骤的优势在于,通过奇数次幂变换放大故障电压信号的特征,并且保留了波头的极性。因为故障点反射波波头极性与首波头相反,对端母线反射波波头极性与首波头相同,因此保留波头的极性可以区分第二个波头的性质。Step 3: Perform an odd-order power transformation on the fault voltage traveling wave signal. The advantage of performing this step is that the characteristics of the fault voltage signal are amplified by the odd-order power transformation, and the polarity of the wave head is retained. Because the polarity of the wave head reflected from the fault point is opposite to that of the first wave head, and the polarity of the wave head reflected from the opposite bus is the same as that of the first wave head, retaining the polarity of the wave head can distinguish the nature of the second wave head.

Step4:在全线长范围内设置虚拟故障点,并构造虚拟矩阵。执行该步骤的优势在于,不需要对行波波头进行标定,只需将故障电压行波映射到每一个虚拟故障情况形成虚拟矩阵,并且通过设置虚拟故障点的个数来逼近真实的故障距离。Step 4: Set virtual fault points within the entire line length and construct a virtual matrix. The advantage of performing this step is that there is no need to calibrate the traveling wave head. It is only necessary to map the fault voltage traveling wave to each virtual fault condition to form a virtual matrix, and the actual fault distance is approximated by setting the number of virtual fault points.

Step4.1:在全线长l范围内设置虚拟故障点,步长为akm。Step 4.1: Set virtual fault points within the entire line length l, with a step length of akm.

Step4.2:故障行波信号向右移动k(k=1,2,3,…,l/a)次步长,形成第一个虚拟矩阵的第k行。故障行波信号为f1(t),第一个虚拟矩阵为:Step 4.2: The fault traveling wave signal moves right by k (k=1,2,3,…,l/a) steps to form the kth row of the first virtual matrix. The fault traveling wave signal is f 1 (t), and the first virtual matrix is:

Figure SMS_1
Figure SMS_1

Step4.3:故障行波信号向左移动k(k=1,2,3,…,l/a)次步长,形成第二个虚拟矩阵的第k行。故障行波信号为f1(t),第二个虚拟矩阵为:Step 4.3: The fault traveling wave signal moves left by k (k=1,2,3,…,l/a) steps to form the kth row of the second virtual matrix. The fault traveling wave signal is f 1 (t), and the second virtual matrix is:

Figure SMS_2
Figure SMS_2

Step5:基于所述虚拟矩阵,计算虚拟故障点的能量。执行该步骤的优势在于,由于行波的衰减特性,故障电压行波的波头幅值是衰减的,因此Step4中第一个虚拟矩阵中的首波头与第二个虚拟矩阵中的第二个波头相遇时,能量值最大,该点对应的距离即为真实故障距离。Step 5: Based on the virtual matrix, calculate the energy of the virtual fault point. The advantage of performing this step is that due to the attenuation characteristics of the traveling wave, the wave head amplitude of the fault voltage traveling wave is attenuated. Therefore, when the first wave head in the first virtual matrix in Step 4 meets the second wave head in the second virtual matrix, the energy value is the largest, and the distance corresponding to this point is the real fault distance.

Step5.1:计算第一个虚拟矩阵和第二个虚拟矩阵的乘积。两个虚拟矩阵的哈达马乘积矩阵为

Figure SMS_3
:Step 5.1: Calculate the product of the first virtual matrix and the second virtual matrix. The Hadamard product matrix of the two virtual matrices is
Figure SMS_3
:

Figure SMS_4
Figure SMS_4

Step5.2:计算每一个虚拟故障点的能量。具体计算方法为,矩阵C中的每一行对应一个虚拟故障点,对每一行求和即可得到每一个虚拟故障点情况下全部突变点的能量和。Step 5.2: Calculate the energy of each virtual fault point. The specific calculation method is that each row in the matrix C corresponds to a virtual fault point, and the sum of each row can be obtained to obtain the energy sum of all mutation points under each virtual fault point.

Step6:构造测距函数并标定测距函数中的突变点,利用该突变点确定故障距离。Step 6: Construct a distance measurement function and calibrate the mutation point in the distance measurement function, and use the mutation point to determine the fault distance.

Step6.1:构造接地极线路故障测距函数。测距函数是包含时间和距离两个维度的分段函数,第一段测距函数的线长维度的下限为线路起点,上限为线路中点,时间维度的下限为量测端故障信号突变时刻,上限为故障信号突变后l/2v对应的时刻。第二段测距函数的线长维度的下限为线路中点,上限为线路终点,时间维度的下限为故障信号突变后l/2v对应的时刻,上限为故障信号突变后l/v对应的时刻。Step 6.1: Construct the fault distance measurement function of the grounding electrode line. The distance measurement function is a piecewise function containing two dimensions: time and distance. The lower limit of the line length dimension of the first distance measurement function is the starting point of the line, and the upper limit is the midpoint of the line. The lower limit of the time dimension is the moment of sudden change of the fault signal at the measuring end, and the upper limit is the moment corresponding to l/2v after the sudden change of the fault signal. The lower limit of the line length dimension of the second distance measurement function is the midpoint of the line, and the upper limit is the end point of the line. The lower limit of the time dimension is the moment corresponding to l/2v after the sudden change of the fault signal, and the upper limit is the moment corresponding to l/v after the sudden change of the fault signal.

Step6.2:标定出所述测距函数中突变最大的点P(x,y)。执行该步骤的依据在于,第一个波形的首波头与第二个波形的第二个波头相遇时,哈达马乘积矩阵中此虚拟情况下对应的行取得最大值,由于行波的衰减特性,第一个波形的首波头与第二个波形的其他波头相遇时哈达马乘积值都相对较小。Step 6.2: calibrate the point P (x, y) with the largest mutation in the ranging function. The basis for executing this step is that when the first wave head of the first waveform meets the second wave head of the second waveform, the row corresponding to this virtual situation in the Hadamard product matrix obtains the maximum value. Due to the attenuation characteristics of the traveling wave, the Hadamard product value is relatively small when the first wave head of the first waveform meets the other wave heads of the second waveform.

Step6.3:判断所述突变点的极性是否为负,若是,则执行Step6.4,若否,则执行Step6.5。执行该步骤的依据在于,故障信号的首波头与第二个波头的极性相反。Step 6.3: Determine whether the polarity of the mutation point is negative, if yes, execute Step 6.4, if no, execute Step 6.5. The basis for executing this step is that the polarity of the first wave head and the second wave head of the fault signal are opposite.

Step6.4:测距结果为x。Step 6.4: The distance measurement result is x.

Step6.5:测距结果为l-x。Step 6.5: The distance measurement result is l-x.

一种接地极线路故障测距系统,其特征在于,包括:A grounding electrode line fault distance measurement system, characterized by comprising:

脉冲信号产生模块,用于向线路注入脉冲信号。The pulse signal generating module is used to inject a pulse signal into the line.

电气信号采集模块,用于采集和存储数据。Electrical signal acquisition module, used to collect and store data.

数值计算模块,用于计算虚拟矩阵以及虚拟故障点的能量。The numerical calculation module is used to calculate the energy of the virtual matrix and the virtual fault point.

故障测距模块,用于构造分段函数,并利用分段函数突变点进行故障测距,得出故障距离后出口测距结果。The fault distance measurement module is used to construct a piecewise function and use the mutation points of the piecewise function to perform fault distance measurement, and then obtain the distance measurement result after the fault distance is obtained.

所述的接地极线路故障测距系统,其特征在于所述脉冲信号产生模块包括:The grounding electrode line fault distance measurement system is characterized in that the pulse signal generating module comprises:

脉冲信号类型选择单元,用于选择注入脉冲信号的类型。The pulse signal type selection unit is used to select the type of the injected pulse signal.

脉冲信号宽度选择单元,用于选择注入脉冲信号的宽度。The pulse signal width selection unit is used to select the width of the injected pulse signal.

脉冲信号间隔选择单元,用于选择注入脉冲信号的间隔。The pulse signal interval selection unit is used to select the interval of the injected pulse signal.

脉冲信号幅值选择单元,用于选择注入脉冲信号的幅值。The pulse signal amplitude selection unit is used to select the amplitude of the injected pulse signal.

所述的接地极线路故障测距系统,其特征在于所述电气信号采集模块包括:The grounding electrode line fault distance measurement system is characterized in that the electrical signal acquisition module comprises:

数据采集单元,用于采集互感器二次侧输出的模拟信号。The data acquisition unit is used to collect the analog signal output from the secondary side of the transformer.

模数转换单元,用于将模拟信号转换为数字信号。The analog-to-digital conversion unit is used to convert analog signals into digital signals.

保护启动单元,用于判断数字信号是否大于设定的启动阈值,若是,则读取启动时间并存储数据。The protection startup unit is used to determine whether the digital signal is greater than the set startup threshold. If so, the startup time is read and the data is stored.

所述的接地极线路故障测距系统,其特征在于所述数值计算模块中包括:The grounding electrode line fault distance measurement system is characterized in that the numerical calculation module includes:

线模转换单元,用于计算量测端电压行波的线模分量。The line mode conversion unit is used to calculate the line mode component of the voltage traveling wave at the measuring end.

参数设置单元,用于设置虚拟故障点的步长、接地极线路长度。The parameter setting unit is used to set the step size of the virtual fault point and the length of the grounding electrode line.

数值计算单元,用于计算虚拟矩阵以及故障测距分段函数。The numerical calculation unit is used to calculate the virtual matrix and the fault location piecewise function.

所述的接地极线路故障测距系统,其特征在于所述故障测距模块具体包括:The grounding electrode line fault distance measurement system is characterized in that the fault distance measurement module specifically comprises:

距离测量单元,用于测量分段函数的最大的突变点对应的距离。The distance measurement unit is used to measure the distance corresponding to the largest mutation point of the piecewise function.

极性判断单元,用于判断分段函数的最大的突变点的极性。The polarity judgment unit is used to judge the polarity of the maximum mutation point of the piecewise function.

本发明的有益效果是:The beneficial effects of the present invention are:

1、本发明突破了在时域中对行波波到时刻进行标定的瓶颈,易实现接地极线路的自动化单端行波测距。1. The present invention breaks through the bottleneck of calibrating the arrival time of traveling waves in the time domain, and can easily realize the automatic single-ended traveling wave ranging of the grounding electrode line.

2、本发明无需设置整定值,从而避免整定值带来的测距误差。2. The present invention does not need to set a set value, thereby avoiding the ranging error caused by the set value.

3、本发明无需人工分析故障点反射波,提高了故障测距的效率和准确性。3. The present invention does not require manual analysis of reflected waves at the fault point, thereby improving the efficiency and accuracy of fault distance measurement.

4、本发明测距精度不受故障距离、过渡电阻、噪声的影响,具有较好的鲁棒性。4. The distance measurement accuracy of the present invention is not affected by fault distance, transition resistance and noise, and has good robustness.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

图1是本发明仿真模型拓扑图;Fig. 1 is a topological diagram of a simulation model of the present invention;

图2是本发明Step1中信号发生器向接地极注入信号的示意图;FIG2 is a schematic diagram of a signal generator injecting a signal into a ground electrode in Step 1 of the present invention;

图3是本发明Step2中注入信号在故障点的响应的传播示意图;FIG3 is a schematic diagram of propagation of the response of the injected signal at the fault point in Step 2 of the present invention;

图4是本发明Step5中虚拟故障点能量计算的示意图;FIG4 is a schematic diagram of virtual fault point energy calculation in Step 5 of the present invention;

图5是本发明实施例1的第一段测距函数结果图;FIG5 is a diagram showing the first segment of the ranging function result of Example 1 of the present invention;

图6是本发明实施例1的第二段测距函数结果图;FIG6 is a diagram showing the result of the second segment ranging function of Embodiment 1 of the present invention;

图7是本发明实施例1的系统框图;FIG7 is a system block diagram of Embodiment 1 of the present invention;

图8是本发明实施例2的第一段测距函数结果图;FIG8 is a diagram showing the first segment ranging function result of Embodiment 2 of the present invention;

图9是本发明实施例2的第二段测距函数结果图。FIG. 9 is a diagram showing the result of the second segment ranging function of Embodiment 2 of the present invention.

具体实施方式DETAILED DESCRIPTION

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 conjunction with the accompanying drawings and specific implementation methods.

实施例1:含有接地极线路的高压直流输电系统仿真模型系统如附图1所示,线路全线长80km,接地极线路采用同塔双回架空线路,通过极址点阻值很小的电阻接地,一般不超过0.5Ω。在接地极线路上设置故障点距离测量点14km,故障类型为非金属性接地故障,过渡电阻为1Ω,采样率为1MHz。Embodiment 1: Simulation model system of high-voltage direct current transmission system with grounding electrode line is shown in Figure 1. The whole line is 80km long. The grounding electrode line adopts double-circuit overhead line on the same tower and is grounded through a resistor with very small resistance at the pole point, generally not exceeding 0.5Ω. The fault point is set on the grounding electrode line 14km away from the measuring point. The fault type is non-metallic grounding fault, the transition resistance is 1Ω, and the sampling rate is 1MHz.

具体步骤为:The specific steps are:

Step1:利用信号发生器向接地极线路注入脉冲信号。在本实施例中注入的信号为100kHz高频正弦信号,脉冲宽度为16us,脉冲间隔为1.1ms,脉冲幅值为48V。Step 1: Use a signal generator to inject a pulse signal into the grounding electrode line. In this embodiment, the injected signal is a 100kHz high-frequency sinusoidal signal with a pulse width of 16us, a pulse interval of 1.1ms, and a pulse amplitude of 48V.

Step2:根据所述脉冲信号在故障点的响应,利用信号采集装置采集故障电压行波数据。Step 2: According to the response of the pulse signal at the fault point, the fault voltage traveling wave data is collected by using a signal acquisition device.

Step2.1:利用接地极线路站端的采集装置对线路的故障行波信号进行采集。Step 2.1: Use the acquisition device at the grounding electrode line station to collect the fault traveling wave signal of the line.

Step2.2:利用Karenbauer变换矩阵对故障行波信号进行解耦,获取接地极线路线模电压行波。Step 2.2: Use the Karenbauer transformation matrix to decouple the fault traveling wave signal and obtain the grounding line line mode voltage traveling wave.

Step3:对所述故障电压行波信号进行奇数次幂变换。在本实施例中,幂变换次数取3。Step 3: Perform an odd-number power transformation on the fault voltage traveling wave signal. In this embodiment, the number of power transformations is 3.

Step4:在全线长范围内设置虚拟故障点,并构造虚拟矩阵;Step 4: Set virtual fault points within the entire line length and construct a virtual matrix;

Step4.1:在全线长l范围内设置虚拟故障点,步长为akm。在本实施例中,线长l长度为80km,步长a取0.1km。Step 4.1: Set a virtual fault point within the entire line length l, with a step length of akm. In this embodiment, the line length l is 80km, and the step length a is 0.1km.

Step4.2:故障行波信号向右移动k(k=1,2,3,…,l/a)次步长,形成第一个虚拟矩阵的第k行。故障行波信号为f1(t),第一个虚拟矩阵为:Step 4.2: The fault traveling wave signal moves right by k (k=1,2,3,…,l/a) steps to form the kth row of the first virtual matrix. The fault traveling wave signal is f 1 (t), and the first virtual matrix is:

Figure SMS_5
Figure SMS_5

Step4.3:故障行波信号向左移动k(k=1,2,3,…,l/a)次步长,形成第二个虚拟矩阵的第k行。故障行波信号为f1(t),第二个虚拟矩阵为:Step 4.3: The fault traveling wave signal moves left by k (k=1,2,3,…,l/a) steps to form the kth row of the second virtual matrix. The fault traveling wave signal is f 1 (t), and the second virtual matrix is:

Figure SMS_6
Figure SMS_6

Step5:基于所述虚拟矩阵,计算虚拟故障点的能量;Step 5: Based on the virtual matrix, calculate the energy of the virtual fault point;

Step5.1:计算第一个虚拟矩阵和第二个虚拟矩阵的乘积。两个虚拟矩阵的哈达马乘积矩阵为

Figure SMS_7
:Step 5.1: Calculate the product of the first virtual matrix and the second virtual matrix. The Hadamard product matrix of the two virtual matrices is
Figure SMS_7
:

Figure SMS_8
Figure SMS_8

Step5.2:计算每一个虚拟故障点的能量。Step 5.2: Calculate the energy of each virtual fault point.

Step6:构造测距函数并标定测距函数中的突变点,利用该突变点确定故障距离;Step 6: Construct a distance measurement function and calibrate the mutation point in the distance measurement function, and use the mutation point to determine the fault distance;

Step6.1:构造接地极线路故障测距函数。在本实施例中,第一段测距函数的线长维度的下限为0,上限为40km,时间维度的下限为量测端故障信号突变时刻t0,上限为(t0+l/2v),波速v=298km/ms;第二段测距函数的线长维度的下限为40km,上限为80km,时间维度的下限为(t0+l/2v),上限为(t0+l/v)。Step 6.1: Construct the grounding line fault distance measurement function. In this embodiment, the lower limit of the line length dimension of the first distance measurement function is 0, the upper limit is 40 km, the lower limit of the time dimension is the moment t 0 when the fault signal at the measuring end changes, the upper limit is (t 0 +1/2v), and the wave speed v=298km/ms; the lower limit of the line length dimension of the second distance measurement function is 40 km, the upper limit is 80 km, the lower limit of the time dimension is (t 0 +1/2v), and the upper limit is (t 0 +1/v).

第一段测距函数具体表达式如下:The specific expression of the first segment ranging function is as follows:

Figure SMS_9
Figure SMS_9

第二段测距函数具体表达式如下:The specific expression of the second segment ranging function is as follows:

Figure SMS_10
Figure SMS_10

Step6.2:标定出所述测距函数中突变最大的点P(x,y)。在本实施例中,第一段测距函数中最大突变点对应的距离为14km,如图5所示;第二段测距函数中最大突变点对应的距离为66km,如图6所示。Step 6.2: Determine the point P (x, y) with the largest mutation in the ranging function. In this embodiment, the distance corresponding to the largest mutation point in the first segment of the ranging function is 14 km, as shown in FIG5 ; the distance corresponding to the largest mutation point in the second segment of the ranging function is 66 km, as shown in FIG6 .

Step6.3:判断所述突变点的极性是否为负,若是,则测距结果为x,若否,则测距结果为l-x。在本实施例中,第一段测距函数最大突变点的极性为负,则判断故障距离为14km,无测距误差;第二段测距函数最大突变点的极性为正,该突变点对应的距离为66km,则判断故障距离为80-66=14km。Step 6.3: Determine whether the polarity of the mutation point is negative. If so, the ranging result is x, and if not, the ranging result is l-x. In this embodiment, the polarity of the maximum mutation point of the first-stage ranging function is negative, and the fault distance is judged to be 14km, with no ranging error; the polarity of the maximum mutation point of the second-stage ranging function is positive, and the distance corresponding to the mutation point is 66km, and the fault distance is judged to be 80-66=14km.

与传统单端行波测距方法比较,所述测距方法有更高的测距精度,比较结果如表1所示。Compared with the traditional single-ended traveling wave ranging method, the ranging method has higher ranging accuracy, and the comparison results are shown in Table 1.

Figure SMS_11
Figure SMS_11

表1Table 1

图7为本发明提供的接地极线路故障测距系统功能框图,包括:FIG7 is a functional block diagram of a grounding electrode line fault distance measurement system provided by the present invention, comprising:

脉冲信号产生模块,用于向线路注入脉冲信号;A pulse signal generating module, used for injecting a pulse signal into the line;

电气信号采集模块,用于采集和存储数据;Electrical signal acquisition module, used for collecting and storing data;

数值计算模块,用于计算虚拟矩阵以及虚拟故障点的能量;Numerical calculation module, used to calculate the energy of virtual matrix and virtual fault point;

故障测距模块,用于构造分段函数,并利用分段函数突变点进行故障测距,得出故障距离后出口测距结果。The fault distance measurement module is used to construct a piecewise function and use the mutation points of the piecewise function to perform fault distance measurement, and then obtain the distance measurement result after the fault distance is obtained.

所述的接地极线路故障测距系统,其特征在于所述脉冲信号产生模块包括:The grounding electrode line fault distance measurement system is characterized in that the pulse signal generating module comprises:

脉冲信号类型选择单元,用于选择注入脉冲信号的类型,在本实施例中选择100kHz高频正弦信号;A pulse signal type selection unit, used to select the type of the injected pulse signal, and in this embodiment, a 100kHz high frequency sinusoidal signal is selected;

脉冲信号宽度选择单元,用于选择注入脉冲信号的宽度,在本实施例中脉冲宽度为16us;A pulse signal width selection unit, used to select the width of the injected pulse signal. In this embodiment, the pulse width is 16us;

脉冲信号间隔选择单元,用于选择注入脉冲信号的间隔,在本实施例中脉冲间隔为1.1ms;A pulse signal interval selection unit, used to select the interval of the injected pulse signal, in this embodiment, the pulse interval is 1.1ms;

脉冲信号幅值选择单元,用于选择注入脉冲信号的幅值,在本实施例中脉冲幅值为48V。The pulse signal amplitude selection unit is used to select the amplitude of the injected pulse signal. In this embodiment, the pulse amplitude is 48V.

所述的接地极线路故障测距系统,其特征在于所述电气信号采集模块包括:The grounding electrode line fault distance measurement system is characterized in that the electrical signal acquisition module comprises:

数据采集单元,用于采集互感器二次侧输出的模拟信号;A data acquisition unit, used for collecting analog signals output from the secondary side of the transformer;

模数转换单元,用于将模拟信号转换为数字信号;An analog-to-digital conversion unit, used for converting an analog signal into a digital signal;

保护启动单元,用于判断数字信号是否大于设定的启动阈值,若是,则读取启动时间并存储数据。The protection startup unit is used to determine whether the digital signal is greater than the set startup threshold. If so, the startup time is read and the data is stored.

所述的接地极线路故障测距系统,其特征在于所述数值计算模块中包括:The grounding electrode line fault distance measurement system is characterized in that the numerical calculation module includes:

线模转换单元,用于计算量测端电压行波的线模分量;A line mode conversion unit, used for calculating the line mode component of the voltage traveling wave at the measuring end;

参数设置单元,用于设置虚拟故障点的步长、接地极线路长度,在本实施例中,虚拟故障点的步长为0.1km,接地极线路长度为80km;A parameter setting unit, used to set the step size of the virtual fault point and the length of the grounding electrode line. In this embodiment, the step size of the virtual fault point is 0.1 km, and the length of the grounding electrode line is 80 km;

数值计算单元,用于计算虚拟矩阵以及故障测距分段函数。The numerical calculation unit is used to calculate the virtual matrix and the fault location piecewise function.

所述的接地极线路故障测距系统,其特征在于所述故障测距模块具体包括:The grounding electrode line fault distance measurement system is characterized in that the fault distance measurement module specifically comprises:

距离测量单元,用于测量分段函数的最大的突变点对应的距离;本实施例中第一段测距函数中最大突变点对应的距离为14km;第二段测距函数中最大突变点对应的距离为60km。The distance measurement unit is used to measure the distance corresponding to the maximum mutation point of the piecewise function; in this embodiment, the distance corresponding to the maximum mutation point in the first segment of the ranging function is 14 km; the distance corresponding to the maximum mutation point in the second segment of the ranging function is 60 km.

极性判断单元,用于判断分段函数的最大的突变点的极性。在本实施例中,第一段测距函数最大突变点的极性为负,则判断故障距离为14km,无测距误差;第二段测距函数最大突变点的极性为正,该突变点对应的距离为66km,则判断故障距离为80-66=14km。The polarity judgment unit is used to judge the polarity of the maximum mutation point of the piecewise function. In this embodiment, if the polarity of the maximum mutation point of the first segment ranging function is negative, the fault distance is judged to be 14km, and there is no ranging error; if the polarity of the maximum mutation point of the second segment ranging function is positive, the distance corresponding to the mutation point is 66km, and the fault distance is judged to be 80-66=14km.

实施例2:含有接地极线路的高压直流输电系统仿真模型系统如附图1所示,线路全线长80km,接地极线路采用同塔双回架空线路,通过极址点阻值很小的电阻接地,一般不超过0.5Ω。在接地极线路上设置故障点距离测量点14km,故障类型为非金属性接地故障,过渡电阻为1Ω,采样率为1MHz。Embodiment 2: Simulation model system of high-voltage direct current transmission system with grounding electrode line is shown in Figure 1. The whole line is 80km long. The grounding electrode line adopts double-circuit overhead line on the same tower and is grounded through a resistor with very small resistance at the pole point, generally not exceeding 0.5Ω. The fault point is set on the grounding electrode line 14km away from the measuring point. The fault type is non-metallic grounding fault, the transition resistance is 1Ω, and the sampling rate is 1MHz.

具体步骤为:The specific steps are:

Step1:利用信号发生器向接地极线路注入脉冲信号。在本实施例中注入的信号为单极性脉冲信号,脉冲宽度为32us,脉冲间隔为1.1ms,脉冲幅值为48V。Step 1: Use a signal generator to inject a pulse signal into the grounding electrode line. In this embodiment, the injected signal is a unipolar pulse signal with a pulse width of 32us, a pulse interval of 1.1ms, and a pulse amplitude of 48V.

Step2:根据所述脉冲信号在故障点的响应,利用信号采集装置采集故障电压行波数据。Step 2: According to the response of the pulse signal at the fault point, the fault voltage traveling wave data is collected by using a signal acquisition device.

Step2.1:利用接地极线路站端的采集装置对线路的故障行波信号进行采集。Step 2.1: Use the acquisition device at the grounding electrode line station to collect the fault traveling wave signal of the line.

Step2.2:利用Karenbauer变换矩阵对故障行波信号进行解耦,获取接地极线路线模电压行波。Step 2.2: Use the Karenbauer transformation matrix to decouple the fault traveling wave signal and obtain the grounding line line mode voltage traveling wave.

Step3:对所述故障电压行波信号进行奇数次幂变换。在本实施例中,幂变换次数取3。Step 3: Perform an odd-number power transformation on the fault voltage traveling wave signal. In this embodiment, the number of power transformations is 3.

Step4:在全线长范围内设置虚拟故障点,并构造虚拟矩阵;Step 4: Set virtual fault points within the entire line length and construct a virtual matrix;

Step4.1:在全线长l范围内设置虚拟故障点,步长为akm。在本实施例中,线长l长度为80km,步长a取0.1km。Step 4.1: Set a virtual fault point within the entire line length l, with a step length of akm. In this embodiment, the line length l is 80km, and the step length a is 0.1km.

Step4.2:故障行波信号向右移动k(k=1,2,3,…,l/a)次步长,形成第一个虚拟矩阵的第k行。故障行波信号为f1(t),第一个虚拟矩阵为:Step 4.2: The fault traveling wave signal moves right by k (k=1,2,3,…,l/a) steps to form the kth row of the first virtual matrix. The fault traveling wave signal is f 1 (t), and the first virtual matrix is:

Figure SMS_12
Figure SMS_12

Step4.3:故障行波信号向左移动k(k=1,2,3,…,l/a)次步长,形成第二个虚拟矩阵的第k行。故障行波信号为f1(t),第二个虚拟矩阵为:Step 4.3: The fault traveling wave signal moves left by k (k=1,2,3,…,l/a) steps to form the kth row of the second virtual matrix. The fault traveling wave signal is f 1 (t), and the second virtual matrix is:

Figure SMS_13
Figure SMS_13

Step5:基于所述虚拟矩阵,计算虚拟故障点的能量;Step 5: Based on the virtual matrix, calculate the energy of the virtual fault point;

Step5.1:计算第一个虚拟矩阵和第二个虚拟矩阵的乘积。两个虚拟矩阵的哈达马乘积矩阵为

Figure SMS_14
:Step 5.1: Calculate the product of the first virtual matrix and the second virtual matrix. The Hadamard product matrix of the two virtual matrices is
Figure SMS_14
:

Figure SMS_15
Figure SMS_15

Step5.2:计算每一个虚拟故障点的能量。Step 5.2: Calculate the energy of each virtual fault point.

Step6:构造测距函数并标定测距函数中的突变点,利用该突变点确定故障距离;Step 6: Construct a distance measurement function and calibrate the mutation point in the distance measurement function, and use the mutation point to determine the fault distance;

Step6.1:构造接地极线路故障测距函数。在本实施例中,第一段测距函数的线长维度的下限为0,上限为40km,时间维度的下限为量测端故障信号突变时刻t0,上限为(t0+l/2v),波速v=298km/ms;第二段测距函数的线长维度的下限为40km,上限为80km,时间维度的下限为(t0+l/2v),上限为(t0+l/v)。Step 6.1: Construct the grounding line fault distance measurement function. In this embodiment, the lower limit of the line length dimension of the first distance measurement function is 0, the upper limit is 40 km, the lower limit of the time dimension is the moment t 0 when the fault signal at the measuring end changes, the upper limit is (t 0 +1/2v), and the wave speed v=298km/ms; the lower limit of the line length dimension of the second distance measurement function is 40 km, the upper limit is 80 km, the lower limit of the time dimension is (t 0 +1/2v), and the upper limit is (t 0 +1/v).

第一段测距函数具体表达式如下:The specific expression of the first segment ranging function is as follows:

Figure SMS_16
Figure SMS_16

第二段测距函数具体表达式如下:The specific expression of the second segment ranging function is as follows:

Figure SMS_17
Figure SMS_17

Step6.2:标定出所述测距函数中突变最大的点P(x,y)。在本实施例中,第一段测距函数中最大突变点对应的距离为35km,如图8所示,第二段测距函数中最大突变点对应的距离为45km,如图9所示。Step 6.2: Determine the point P (x, y) with the largest mutation in the ranging function. In this embodiment, the distance corresponding to the largest mutation point in the first segment of the ranging function is 35 km, as shown in FIG8 , and the distance corresponding to the largest mutation point in the second segment of the ranging function is 45 km, as shown in FIG9 .

Step6.3:判断所述突变点的极性是否为负,若是,则测距结果为x,若否,则测距结果为l-x。在本实施例中,第一段测距函数最大突变点的极性为负,则判断故障距离为35km,无测距误差;第二段测距函数最大突变点的极性为正,该突变点对应的距离为45km,则判断故障距离为80-45=35km。Step 6.3: Determine whether the polarity of the mutation point is negative. If so, the ranging result is x, and if not, the ranging result is l-x. In this embodiment, the polarity of the maximum mutation point of the first-stage ranging function is negative, and the fault distance is determined to be 35km, with no ranging error; the polarity of the maximum mutation point of the second-stage ranging function is positive, and the distance corresponding to the mutation point is 45km, and the fault distance is determined to be 80-45=35km.

图7为本发明提供的接地极线路故障测距系统功能框图,包括:FIG7 is a functional block diagram of a grounding electrode line fault distance measurement system provided by the present invention, comprising:

脉冲信号产生模块,用于向线路注入脉冲信号;A pulse signal generating module, used for injecting a pulse signal into the line;

电气信号采集模块,用于采集和存储数据;Electrical signal acquisition module, used for collecting and storing data;

数值计算模块,用于计算虚拟矩阵以及虚拟故障点的能量;Numerical calculation module, used to calculate the energy of virtual matrix and virtual fault point;

故障测距模块,用于构造分段函数,并利用分段函数突变点进行故障测距,得出故障距离后出口测距结果。The fault distance measurement module is used to construct a piecewise function and use the mutation points of the piecewise function to perform fault distance measurement, and then obtain the distance measurement result after the fault distance is obtained.

所述的接地极线路故障测距系统,其特征在于所述脉冲信号产生模块包括:The grounding electrode line fault distance measurement system is characterized in that the pulse signal generating module comprises:

脉冲信号类型选择单元,用于选择注入脉冲信号的类型,在本实施例中选择单极性脉冲信号;A pulse signal type selection unit, used to select the type of the injected pulse signal, and in this embodiment, a unipolar pulse signal is selected;

脉冲信号宽度选择单元,用于选择注入脉冲信号的宽度,在本实施例中脉冲宽度为32us;A pulse signal width selection unit, used to select the width of the injected pulse signal. In this embodiment, the pulse width is 32us;

脉冲信号间隔选择单元,用于选择注入脉冲信号的间隔,在本实施例中脉冲间隔为1.1ms;A pulse signal interval selection unit, used to select the interval of the injected pulse signal, in this embodiment, the pulse interval is 1.1ms;

脉冲信号幅值选择单元,用于选择注入脉冲信号的幅值,在本实施例中脉冲幅值为48V。The pulse signal amplitude selection unit is used to select the amplitude of the injected pulse signal. In this embodiment, the pulse amplitude is 48V.

所述的接地极线路故障测距系统,其特征在于所述电气信号采集模块包括:The grounding electrode line fault distance measurement system is characterized in that the electrical signal acquisition module comprises:

数据采集单元,用于采集互感器二次侧输出的模拟信号;A data acquisition unit, used for collecting analog signals output from the secondary side of the transformer;

模数转换单元,用于将模拟信号转换为数字信号;An analog-to-digital conversion unit, used for converting an analog signal into a digital signal;

保护启动单元,用于判断数字信号是否大于设定的启动阈值,若是,则读取启动时间并存储数据。The protection startup unit is used to determine whether the digital signal is greater than the set startup threshold. If so, the startup time is read and the data is stored.

所述的接地极线路故障测距系统,其特征在于所述数值计算模块中包括:The grounding electrode line fault distance measurement system is characterized in that the numerical calculation module includes:

线模转换单元,用于计算量测端电压行波的线模分量;A line mode conversion unit, used for calculating the line mode component of the voltage traveling wave at the measuring end;

参数设置单元,用于设置虚拟故障点的步长、接地极线路长度,在本实施例中,虚拟故障点的步长为0.1km,接地极线路长度为80km;A parameter setting unit, used to set the step size of the virtual fault point and the length of the grounding electrode line. In this embodiment, the step size of the virtual fault point is 0.1 km, and the length of the grounding electrode line is 80 km;

数值计算单元,用于计算虚拟矩阵以及故障测距分段函数。The numerical calculation unit is used to calculate the virtual matrix and the fault location piecewise function.

所述的接地极线路故障测距系统,其特征在于所述故障测距模块具体包括:The grounding electrode line fault distance measurement system is characterized in that the fault distance measurement module specifically comprises:

距离测量单元,用于测量分段函数的最大的突变点对应的距离。在本实施例中,第一段测距函数中最大突变点对应的距离为35km,第二段测距函数中最大突变点对应的距离为45km。The distance measuring unit is used to measure the distance corresponding to the maximum mutation point of the piecewise function. In this embodiment, the distance corresponding to the maximum mutation point in the first segment of the distance measurement function is 35 km, and the distance corresponding to the maximum mutation point in the second segment of the distance measurement function is 45 km.

极性判断单元,用于判断分段函数的最大的突变点的极性。在本实施例中,第一段测距函数最大突变点的极性为负,则判断故障距离为35km,无测距误差;第二段测距函数最大突变点的极性为正,该突变点对应的距离为45km,则判断故障距离为80-45=35km。The polarity judgment unit is used to judge the polarity of the maximum mutation point of the piecewise function. In this embodiment, if the polarity of the maximum mutation point of the first segment ranging function is negative, the fault distance is judged to be 35km, and there is no ranging error; if the polarity of the maximum mutation point of the second segment ranging function is positive, the distance corresponding to the mutation point is 45km, and the fault distance is judged to be 80-45=35km.

通过验证表明本发明所述的一种接地极线路故障测距方法及系统可靠性高。Verification has shown that the grounding electrode line fault distance measurement method and system described in the present invention have high reliability.

以上结合附图对本发明的具体实施方式作了详细说明,但是本发明并不限于上述实施方式,在本领域普通技术人员所具备的知识范围内,还可以在不脱离本发明宗旨的前提下作出各种变化。The specific implementation modes of the present invention are described in detail above in conjunction with the accompanying drawings, but the present invention is not limited to the above implementation modes, and various changes can be made within the knowledge scope of ordinary technicians in this field without departing from the purpose of the present invention.

Claims (12)

1.一种接地极线路故障测距方法,其特征在于:1. A method for measuring the fault location of a grounding electrode line, characterized in that: Step1:利用信号发生器向接地极线路注入脉冲信号;Step 1: Use a signal generator to inject a pulse signal into the grounding electrode line; Step2:根据所述脉冲信号在故障点的响应,利用信号采集装置采集故障电压行波数据;Step 2: According to the response of the pulse signal at the fault point, the fault voltage traveling wave data is collected by using a signal acquisition device; Step3:对所述故障电压行波信号进行奇数次幂变换;Step 3: Perform odd-order power transformation on the fault voltage traveling wave signal; Step4:在全线长范围内设置虚拟故障点,并构造虚拟矩阵;Step 4: Set virtual fault points within the entire line length and construct a virtual matrix; Step5:基于所述虚拟矩阵,计算虚拟故障点的能量;Step 5: Based on the virtual matrix, calculate the energy of the virtual fault point; Step6:构造测距函数并标定测距函数中的突变点,利用该突变点确定故障距离。Step 6: Construct a distance measurement function and calibrate the mutation point in the distance measurement function, and use the mutation point to determine the fault distance. 2.根据权利要求1所述的接地极线路故障测距方法,其特征在于:所述Step1中,注入的脉冲信号为单极性矩形脉冲信号或高频正弦脉冲信号。2. The grounding line fault distance measurement method according to claim 1 is characterized in that: in the Step 1, the injected pulse signal is a unipolar rectangular pulse signal or a high-frequency sinusoidal pulse signal. 3.根据权利要求1所述的接地极线路故障测距方法,其特征在于,所述Step2具体为:3. The grounding line fault distance measurement method according to claim 1, characterized in that the step 2 is specifically: Step2.1:利用接地极线路站端的采集装置对线路的故障行波信号进行采集;Step 2.1: Use the acquisition device at the grounding electrode line station to collect the fault traveling wave signal of the line; Step2.2:利用Karenbauer变换矩阵对故障行波信号进行解耦,获取接地极线路线模电压行波。Step 2.2: Use the Karenbauer transformation matrix to decouple the fault traveling wave signal and obtain the grounding line line mode voltage traveling wave. 4.根据权利要求1所述的接地极线路故障测距方法,其特征在于,所述Step4具体为:4. The grounding line fault distance measurement method according to claim 1, characterized in that the step 4 is specifically: Step4.1:在全线长l范围内设置虚拟故障点,步长为akm;Step 4.1: Set a virtual fault point within the entire line length l, with a step length of akm; Step4.2:故障行波信号向右移动k次步长,k=1,2,3,…,l/a,形成第一个虚拟矩阵的第k行;Step 4.2: The fault traveling wave signal moves right by k steps, k=1,2,3,…,l/a, to form the kth row of the first virtual matrix; Step4.3:故障行波信号向左移动k次步长,k=1,2,3,…,l/a,形成第二个虚拟矩阵的第k行。Step 4.3: The fault traveling wave signal moves left by k steps, k = 1, 2, 3, …, l/a, to form the kth row of the second virtual matrix. 5.根据权利要求1所述的接地极线路故障测距方法,其特征在于,所述Step5具体为:5. The grounding line fault distance measurement method according to claim 1, characterized in that the step 5 is specifically: Step5.1:计算第一个虚拟矩阵和第二个虚拟矩阵的乘积;Step 5.1: Calculate the product of the first virtual matrix and the second virtual matrix; Step5.2:计算每一个虚拟故障点的能量。Step 5.2: Calculate the energy of each virtual fault point. 6.根据权利要求1所述的接地极线路故障测距方法,其特征在于,所述Step6具体为:6. The grounding electrode line fault distance measurement method according to claim 1, characterized in that the step 6 is specifically: Step6.1:构造接地极线路故障测距函数;Step 6.1: Construct the grounding line fault location function; Step6.2:标定出所述测距函数中突变最大的点P(x,y);Step 6.2: calibrate the point P (x, y) with the largest mutation in the ranging function; Step6.3:判断所述突变点的极性是否为负,若是,则执行Step6.4,若否,则执行Step6.5;Step 6.3: Determine whether the polarity of the mutation point is negative, if so, execute Step 6.4, if not, execute Step 6.5; Step6.4:测距结果为x;Step 6.4: The distance measurement result is x; Step6.5:测距结果为l-x。Step 6.5: The distance measurement result is l-x. 7.根据权利要求6所述的接地极线路故障测距方法,其特征在于,所述构造接地极故障测距函数,具体为:7. The grounding electrode line fault distance measurement method according to claim 6, characterized in that the construction of the grounding electrode fault distance measurement function is specifically: 测距函数是包含时间和距离两个维度的分段函数,第一段测距函数的线长维度的下限为线路起点,上限为线路中点,时间维度的下限为量测端故障信号突变时刻,上限为故障信号突变后l/2v对应的时刻;第二段测距函数的线长维度的下限为线路中点,上限为线路终点,时间维度的下限为故障信号突变后l/2v对应的时刻,上限为故障信号突变后l/v对应的时刻。The ranging function is a piecewise function that contains two dimensions, time and distance. The lower limit of the line length dimension of the first ranging function is the starting point of the line, and the upper limit is the midpoint of the line. The lower limit of the time dimension is the moment when the fault signal at the measuring end suddenly changes, and the upper limit is the moment corresponding to l/2v after the fault signal suddenly changes. The lower limit of the line length dimension of the second ranging function is the midpoint of the line, and the upper limit is the end point of the line. The lower limit of the time dimension is the moment corresponding to l/2v after the fault signal suddenly changes, and the upper limit is the moment corresponding to l/v after the fault signal suddenly changes. 8.一种接地极线路故障测距系统,其特征在于,包括:8. A grounding electrode line fault distance measurement system, characterized by comprising: 脉冲信号产生模块,用于向线路注入脉冲信号;A pulse signal generating module, used for injecting a pulse signal into the line; 电气信号采集模块,用于采集和存储数据;Electrical signal acquisition module, used for collecting and storing data; 数值计算模块,用于计算虚拟矩阵以及虚拟故障点的能量;Numerical calculation module, used to calculate the energy of virtual matrix and virtual fault point; 故障测距模块,用于构造分段函数,并利用分段函数突变点进行故障测距,得出故障距离后出口测距结果。The fault distance measurement module is used to construct a piecewise function and use the mutation points of the piecewise function to perform fault distance measurement, and then obtain the distance measurement result after the fault distance is obtained. 9.根据权利要求8所述的接地极线路故障测距系统,其特征在于,所述脉冲信号产生模块包括:9. The grounding electrode line fault distance measurement system according to claim 8, characterized in that the pulse signal generating module comprises: 脉冲信号类型选择单元,用于选择注入脉冲信号的类型;A pulse signal type selection unit, used for selecting the type of injected pulse signal; 脉冲信号宽度选择单元,用于选择注入脉冲信号的宽度;A pulse signal width selection unit, used for selecting the width of the injected pulse signal; 脉冲信号间隔选择单元,用于选择注入脉冲信号的间隔;A pulse signal interval selection unit, used for selecting the interval of the injected pulse signal; 脉冲信号幅值选择单元,用于选择注入脉冲信号的幅值。The pulse signal amplitude selection unit is used to select the amplitude of the injected pulse signal. 10.根据权利要求8所述的接地极线路故障测距系统,其特征在于,所述电气信号采集模块包括:10. The grounding electrode line fault distance measurement system according to claim 8, characterized in that the electrical signal acquisition module comprises: 数据采集单元,用于采集互感器二次侧输出的模拟信号;A data acquisition unit, used for collecting analog signals output from the secondary side of the transformer; 模数转换单元,用于将模拟信号转换为数字信号;An analog-to-digital conversion unit, used for converting an analog signal into a digital signal; 保护启动单元,用于判断数字信号是否大于设定的启动阈值,若是,则读取启动时间并存储数据。The protection startup unit is used to determine whether the digital signal is greater than the set startup threshold. If so, the startup time is read and the data is stored. 11.根据权利要求8所述的接地极线路故障测距系统,其特征在于,所述数值计算模块中包括:11. The grounding electrode line fault distance measurement system according to claim 8, characterized in that the numerical calculation module comprises: 线模转换单元,用于计算量测端电压行波的线模分量;A line mode conversion unit, used for calculating the line mode component of the voltage traveling wave at the measuring end; 参数设置单元,用于设置虚拟故障点的步长、接地极线路长度;A parameter setting unit, used to set the step length of the virtual fault point and the length of the grounding electrode line; 数值计算单元,用于计算虚拟矩阵以及故障测距分段函数。The numerical calculation unit is used to calculate the virtual matrix and the fault location piecewise function. 12.根据权利要求8所述的接地极线路故障测距系统,其特征在于,所述故障测距模块具体包括:12. The grounding electrode line fault distance measurement system according to claim 8, characterized in that the fault distance measurement module specifically comprises: 距离测量单元,用于测量分段函数的最大的突变点对应的距离;A distance measurement unit, used to measure the distance corresponding to the maximum mutation point of the piecewise function; 极性判断单元,用于判断分段函数的最大的突变点的极性。The polarity judgment unit is used to judge the polarity of the maximum mutation point of the piecewise function.
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