CN112881855A - High-voltage direct-current transmission line lightning stroke interference identification method based on generalized S transformation - Google Patents

High-voltage direct-current transmission line lightning stroke interference identification method based on generalized S transformation Download PDF

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CN112881855A
CN112881855A CN202110029067.8A CN202110029067A CN112881855A CN 112881855 A CN112881855 A CN 112881855A CN 202110029067 A CN202110029067 A CN 202110029067A CN 112881855 A CN112881855 A CN 112881855A
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CN112881855B (en
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倪传坤
戴国安
李传西
李卓凡
付艳
叶冬萌
谢凡
郝治国
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Xian Jiaotong University
Xuchang XJ Software Technology Co Ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08Locating faults in cables, transmission lines, or networks
    • G01R31/081Locating faults in cables, transmission lines, or networks according to type of conductors
    • G01R31/085Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution lines, e.g. overhead
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/08Locating faults in cables, transmission lines, or networks
    • G01R31/088Aspects of digital computing
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02HEMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
    • H02H7/00Emergency protective circuit arrangements specially adapted for specific types of electric machines or apparatus or for sectionalised protection of cable or line systems, and effecting automatic switching in the event of an undesired change from normal working conditions
    • H02H7/26Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured
    • H02H7/268Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured for DC systems
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for AC mains or AC distribution networks
    • H02J3/36Arrangements for transfer of electric power between AC networks via a high-tension DC link
    • 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

本发明公开了一种基于广义S变换的高压直流输电线路雷击干扰识别方法,首先,对整流侧正负极电压、电流信号故障分量进行相模变换,得到1模分量;其次,对保护启动后3ms内的电压1模分量进行广义S变换,计算低频能量和高频能量;然后计算电压低频能量与高频能量的比值,根据结果判断发生了雷击干扰还是线路故障;最后,若发生雷击干扰,保护复归,若发生故障,对保护启动后1ms的电流1模分量进行广义S变换,计算电流低频能量与高频能量的比值,根据结果判断发生了雷击故障还是普通短路故障,保护出口。本发明可以准确识别雷击干扰,提高直流线路暂态量保护的可靠性,并进一步区分雷击故障和普通短路故障,对线路的防雷、运行和维护具有指导意义。

Figure 202110029067

The invention discloses a method for identifying lightning strike interference of high-voltage direct current transmission lines based on generalized S-transformation. First, phase-mode transformation is performed on the positive and negative voltage and current signal fault components of the rectifier side to obtain a 1-mode component; secondly, 3ms after the protection is started The 1-modulus component of the voltage inside is subjected to generalized S-transformation to calculate the low-frequency energy and high-frequency energy; then the ratio of the voltage low-frequency energy to the high-frequency energy is calculated, and according to the result, it is judged whether lightning strike interference or line fault has occurred; finally, if lightning strike interference occurs, protection Return, if a fault occurs, perform generalized S transformation on the 1-mode component of the current 1ms after the protection starts, calculate the ratio of the low-frequency energy to the high-frequency energy of the current, and judge whether a lightning strike fault or an ordinary short-circuit fault has occurred according to the result, and protect the outlet. The invention can accurately identify the lightning strike interference, improve the reliability of the DC line transient protection, further distinguish the lightning strike fault and the common short-circuit fault, and has guiding significance for the lightning protection, operation and maintenance of the line.

Figure 202110029067

Description

基于广义S变换的高压直流输电线路雷击干扰识别方法Lightning disturbance identification method for HVDC transmission lines based on generalized S transform

技术领域technical field

本发明属于电力系统领域,涉及高压直流输电线路的继电保护领域,具体涉及一种基于广义S变换的高压直流输电线路雷击干扰识别方法。The invention belongs to the field of power systems, relates to the field of relay protection of high-voltage direct current transmission lines, and in particular relates to a method for identifying lightning strike interference of high-voltage direct current transmission lines based on generalized S transform.

背景技术Background technique

作为有效解决电能外送的方法,高压直流输电除了线路成本低、结构简单、输送容量大、损耗小、输送距离较长等优势,在电能的远距离传输、电力系统非同步联网、分布式资源并网、城市电缆供电等方面也有着广泛应用。基于暂态量的保护原理仅需单端故障信息,常作为线路的主保护,但雷击线路时注入的高频信号容易对基于暂态量的保护造成影响。针对上述问题,需要快速可靠的抗雷击干扰技术,以准确地将雷击干扰与普通短路故障或雷击引起的故障进行区分,使得在线路遭受雷击干扰时,保护不误动,在遭受雷击故障或普通短路故障时,保护不拒动,该技术对于高压直流输电线路超高速暂态量保护走向实用化具有决定性的作用。同时,对线路的雷击故障和普通短路故障作进一步区分,可以对线路防雷提供重要的数据支撑,对高压直流线路的运行和维护具有指导意义。As an effective way to solve the power transmission, HVDC transmission has the advantages of low line cost, simple structure, large transmission capacity, small loss, and long transmission distance. It is also widely used in grid connection and urban cable power supply. The protection principle based on transients only needs single-ended fault information, and is often used as the main protection of the line, but the high-frequency signal injected when the line is struck by lightning easily affects the protection based on transients. In view of the above problems, fast and reliable anti-lightning interference technology is required to accurately distinguish lightning interference from ordinary short-circuit faults or faults caused by lightning strikes, so that when the line is disturbed by lightning strikes, the protection will not malfunction, and when it suffers from lightning strikes or ordinary faults In the event of a short-circuit fault, the protection does not refuse to act. This technology plays a decisive role in the practical application of ultra-high-speed transient protection of HVDC transmission lines. At the same time, further distinguishing the lightning strike fault and ordinary short-circuit fault of the line can provide important data support for the line lightning protection, and has guiding significance for the operation and maintenance of the high-voltage DC line.

目前,针对雷击干扰识别问题的现有成果从时域上的数值和波形特征、频域上的能量分布特征以及人工智能方法等角度进行研究。其中,时域上提取数值特征运算简单,但其阈值易受雷电参数影响,且具有难以整定的缺陷,而波形特征的提取需要基于长时间窗,难以与超高速暂态量保护相配合。频域上通常采用小波变换、HHT等方法,能够有效提取干扰及故障频谱能量分布差异,但前者小波基的选取、参数的确定具有较强的经验性,后者具有难以避免的模态混叠现象。人工智能方法避免了复杂的数学运算,通过对训练集的离线学习就可以达到区分干扰和故障的目的,但可以用作训练集的实际算例较少,需要基于大量的仿真结果,其分类标准可能在实际的电力系统中并不适用。At present, the existing achievements on the identification of lightning strikes are studied from the perspectives of numerical and waveform characteristics in the time domain, energy distribution characteristics in the frequency domain, and artificial intelligence methods. Among them, the extraction of numerical features in the time domain is simple, but its threshold is easily affected by lightning parameters and has the disadvantage of being difficult to set. The extraction of waveform features needs to be based on a long time window, which is difficult to cooperate with ultra-high-speed transient protection. In the frequency domain, methods such as wavelet transform and HHT are usually used, which can effectively extract the difference in the spectral energy distribution of interference and faults. However, the selection of the wavelet basis and the determination of parameters for the former are highly empirical, and the latter has unavoidable modal aliasing. Phenomenon. The artificial intelligence method avoids complex mathematical operations. The purpose of distinguishing interference and faults can be achieved through offline learning of the training set. However, there are few actual examples that can be used as training sets, and it needs to be based on a large number of simulation results. May not be applicable in actual power system.

发明内容SUMMARY OF THE INVENTION

为解决上述现有技术存在的问题,本发明的目的是提供一种基于广义S变换的高压直流输电线路雷击干扰识别方法,能够快速可靠的雷击干扰识别,能够减小故障和干扰的类型、雷电流参数、折反射行波等因素的影响,实现在较短数据窗内快速识别雷击干扰,并在此基础上进一步区分雷击故障和普通短路故障。In order to solve the problems existing in the above-mentioned prior art, the purpose of the present invention is to provide a method for identifying lightning strike interference of high-voltage direct current transmission lines based on generalized S transform, which can quickly and reliably identify lightning strike disturbances, and can reduce the types of faults and disturbances, lightning strikes, and lightning strikes. The influence of factors such as current parameters, refraction and reflection traveling waves, etc., realizes rapid identification of lightning strike interference within a short data window, and further distinguishes lightning strike faults and ordinary short-circuit faults on this basis.

为达到上述目的,本发明采用的技术方案是:To achieve the above object, the technical scheme adopted in the present invention is:

一种基于广义S变换的高压直流输电线路雷击干扰识别方法,基于短数据窗,对不同类型的故障、干扰适应性好,不受过渡电阻和雷电流参数影响,包括以下步骤:A method for identifying lightning strike disturbance of HVDC transmission lines based on generalized S transform, based on short data windows, has good adaptability to different types of faults and disturbances, and is not affected by transition resistance and lightning current parameters, including the following steps:

步骤1:以预设采样频率采集整流侧正、负极电压信号和电流信号,分别对电压信号和电流信号进行相模变换,获取电压1模分量和电流1模分量;Step 1: collect the positive and negative voltage signals and current signals of the rectifier side at a preset sampling frequency, and perform phase-mode transformation on the voltage signal and the current signal respectively to obtain the voltage 1-mode component and the current 1-mode component;

步骤2:设保护启动的时刻为t,雷击干扰识别系统自动记录保护启动后[t ms,(t+3)ms]内的电压1模分量和电流1模分量;Step 2: Set the protection start time as t, and the lightning strike interference identification system automatically records the voltage 1-mode component and the current 1-mode component within [t ms, (t+3) ms] after the protection starts;

步骤3:基于广义S变换计算3ms时窗内电压1模分量时频矩阵EU1Step 3: Calculate the time-frequency matrix E U1 of the voltage 1-modulus component in the 3ms time window based on the generalized S transform:

Figure BDA0002891328740000021
Figure BDA0002891328740000021

其中,T为采样时间间隔,单位为ms,N=3/T为3ms内的采样点数,n、m、v取值范围为[0,N-1],U1(v)为电压1模分量u1(nT)的离散傅里叶变换,k为窗宽调整系数。Among them, T is the sampling time interval, the unit is ms, N=3/T is the number of sampling points within 3ms, the value range of n, m, and v is [0, N-1], and U 1 (v) is the voltage 1 modulo Discrete Fourier transform of component u 1 (nT), where k is the window width adjustment coefficient.

步骤4:对各个频率的电压平方值在3ms时窗内进行求和,计算得到电压频率边际谱EU1(n):Step 4: Sum the voltage square values of each frequency within a 3ms time window, and calculate the voltage frequency marginal spectrum E U1 (n):

Figure BDA0002891328740000031
Figure BDA0002891328740000031

步骤5:以fth=1kHz作为高频、低频的阈值,计算电压1模分量的低频能量ELF_U1和高频能量EHF_U1,并计算其比值ρU1:Step 5: Taking f th =1kHz as the threshold value of high frequency and low frequency, calculate the low frequency energy E LF_U1 and the high frequency energy E HF_U1 of the voltage 1 mode component, and calculate the ratio ρ U1 :

Figure BDA0002891328740000032
Figure BDA0002891328740000032

其中,fs为信号采样频率。Among them, f s is the signal sampling frequency.

步骤6:判断比值ρU1是否超过阈值ρset1,若超过,则判定为故障,进入步骤7;Step 6: determine whether the ratio ρ U1 exceeds the threshold ρ set1 , if it exceeds, it is judged as a fault, and the process goes to step 7;

步骤7:基于广义S变换计算1ms时窗内电流1模分量时频矩阵EI1Step 7: Calculate the time-frequency matrix E I1 of the current 1-mode component in the 1ms time window based on the generalized S transform:

Figure BDA0002891328740000033
Figure BDA0002891328740000033

其中,T为采样时间间隔,单位为ms,N=1/T为1ms内的采样点数,n、m、v取值范围为[0,N-1],I1(v)为电压1模分量i1(nT)的离散傅里叶变换,k为窗宽调整系数。Among them, T is the sampling time interval, the unit is ms, N=1/T is the number of sampling points within 1ms, the value range of n, m, and v is [0, N-1], and I 1 (v) is the voltage 1 modulo Discrete Fourier transform of component i 1 (nT), where k is the window width adjustment coefficient.

步骤8:对各个频率的电流平方值在1ms时窗内进行求和,计算得到电流频率边际谱EI1(f):Step 8: Sum the current square values of each frequency within a 1ms time window, and calculate the current frequency marginal spectrum E I1 (f):

Figure BDA0002891328740000034
Figure BDA0002891328740000034

步骤9:以fth=1kHz作为高频、低频的阈值,计算电流1模分量的低频能量ELF_I1和高频能量EHF_I1,并计算其比值ρI1:Step 9: take f th =1kHz as the high frequency and low frequency thresholds, calculate the low frequency energy E LF_I1 and the high frequency energy E HF_I1 of the 1-mode component of the current, and calculate the ratio ρ I1 :

Figure BDA0002891328740000041
Figure BDA0002891328740000041

其中,fs为信号采样频率。Among them, f s is the signal sampling frequency.

步骤10:判断比值ρI1是否超过阈值ρset2,若超过,则判定为普通短路故障,若未超过,则判定为雷击故障,算法结束,保护正常出口。Step 10: Determine whether the ratio ρ I1 exceeds the threshold ρ set2 , if it exceeds, it is judged as a common short-circuit fault, if not, it is judged as a lightning strike fault, the algorithm ends, and the normal exit is protected.

优选地,步骤1所述的预设采样频率设定为1MHz。Preferably, the preset sampling frequency in step 1 is set to 1 MHz.

优选地,步骤6所述的阈值ρset1设定为3.4133。Preferably, the threshold ρ set1 described in step 6 is set to 3.4133.

优选地,步骤10所述的阈值ρset2设定为10.6361。Preferably, the threshold ρ set2 described in step 10 is set to 10.6361.

本发明和现有技术相比较,具备如下优点:Compared with the prior art, the present invention has the following advantages:

本发明以相模变换后的电压、电流模量的低频、高频能量之比为判据的识别方案具有明显优势,避免了电气量绝对幅值大小的影响,因此比起提取以往提取数值特征的研究,该方案在雷电流参数和过渡电阻方面具有良好的适应性。此外对于干扰与各类故障,该比值有着数量级的差距,对门槛值的要求更加宽容,避免了整定困难的问题。该方案仅需要3ms时窗的数据,满足了保护的速动性,且对计算速度和存储容量的要求较低。The identification scheme of the present invention based on the ratio of the low-frequency and high-frequency energy of the voltage and current moduli after phase-to-mode transformation as the criterion has obvious advantages, avoiding the influence of the absolute magnitude of the electrical quantity, so compared with the previous method of extracting numerical features According to the research, the scheme has good adaptability in terms of lightning current parameters and transition resistance. In addition, for interference and various faults, the ratio has an order of magnitude difference, and the requirements for the threshold value are more tolerant, avoiding the problem of difficult tuning. This solution only needs data in a 3ms time window, which satisfies the quickness of protection and has lower requirements on computing speed and storage capacity.

附图说明Description of drawings

图1是适用于本发明方法的一种高压直流输电一次系统模型图。FIG. 1 is a model diagram of a primary system of HVDC power transmission suitable for the method of the present invention.

图2是实现本发明方法的流程图。Figure 2 is a flow chart for implementing the method of the present invention.

图3(a)、图3(b)、图3(c)、图3(d)分别是发生雷击故障时的电压1模分量波形、电流1模分量波形、是否发生故障判别结果、故障是否由雷击导致判别结果。Figure 3(a), Figure 3(b), Figure 3(c), Figure 3(d) are the voltage 1-mode component waveform, the current 1-mode component waveform when a lightning strike fault occurs, the judgment result of whether a fault has occurred, and whether the fault has occurred or not. Discrimination results are caused by lightning strikes.

图4(a)、图4(b)、图4(c)、图4(d)分别是发生雷击干扰时的电压1模分量波形、电流1模分量波形、是否发生故障判别结果、故障是否由雷击导致判别结果。Fig. 4(a), Fig. 4(b), Fig. 4(c), Fig. 4(d) are the voltage 1-mode component waveform, current 1-mode component waveform when lightning disturbance occurs, the judgment result of whether a fault has occurred, and whether the fault has occurred or not. Discrimination results are caused by lightning strikes.

图5(a)、图5(b)、图5(c)、图5(d)分别是发生普通短路故障时的电压1模分量波形、电流1模分量波形、是否发生故障判别结果、故障是否由雷击导致判别结果。Fig. 5(a), Fig. 5(b), Fig. 5(c), Fig. 5(d) are respectively the waveform of voltage 1-mode component, current 1-mode component waveform, fault judgment result, failure Whether the judgment result is caused by lightning strike.

具体实施方式Detailed ways

下面结合附图和实施例对本发明做进一步详细说明。The present invention will be described in further detail below with reference to the accompanying drawings and embodiments.

如图1所示,直流输电的一次系统包括直流输电线路、换流变压器、换流阀、交流滤波器组及无功补偿、直流滤波器组及平波电抗器等模型。本模型采用±500kV某直流输电工程的各项参数,该工程是外送煤电基地电力和黄河上游水电的重要通道,通常将其送端换流站作为整流站,受端换流站作为逆变站运行,线路全长1043公里。As shown in Figure 1, the primary system of DC transmission includes models such as DC transmission line, converter transformer, converter valve, AC filter bank and reactive power compensation, DC filter bank and smoothing reactor. This model adopts various parameters of a DC transmission project of ±500kV. This project is an important channel for sending electricity from coal power bases and hydropower in the upper reaches of the Yellow River. Usually, the sending-end converter station is used as the rectifier station, and the receiving-end converter station is used as the reverse power station. Change station operation, the line is 1043 kilometers long.

当直流输电线路距离整流侧保护安装处450km发生雷击塔顶时,利用本发明提供的方法可以排除雷击干扰,并对雷击故障和普通短路故障作出进一步区别。设雷电流波形为2.6/50μs,幅值为-120kA,绝缘子闪络,线路故障。识别方案包括以下步骤,如图2所示:When the DC transmission line is 450km away from the rectifier side protection installation place and the top of the tower is struck by lightning, the method provided by the invention can eliminate the interference of the lightning strike, and further distinguish the lightning strike fault and the common short-circuit fault. The lightning current waveform is set to 2.6/50μs, the amplitude is -120kA, the insulator flashover, and the line is faulty. The identification scheme includes the following steps, as shown in Figure 2:

步骤1:以一定采样频率采集整流侧正、负极电压信号和电流信号,分别对电压信号和电流信号进行相模变换,获取电压1模分量和电流1模分量;Step 1: Collect the positive and negative voltage signals and current signals of the rectifier side at a certain sampling frequency, and perform phase-mode transformation on the voltage signals and current signals respectively to obtain the voltage 1-mode component and the current 1-mode component;

步骤2:设保护启动的时刻为t,雷击干扰识别系统自动记录保护启动后[t ms,(t+3)ms]内的电压1模分量和电流1模分量;Step 2: Set the protection start time as t, and the lightning strike interference identification system automatically records the voltage 1-mode component and the current 1-mode component within [t ms, (t+3) ms] after the protection starts;

本例中,采样频率为1MHz,采用如下矩阵进行相模变换:In this example, the sampling frequency is 1MHz, and the phase-to-analog transformation is performed using the following matrix:

Figure BDA0002891328740000051
Figure BDA0002891328740000051

经推导可得:It can be derived from:

Figure BDA0002891328740000052
Figure BDA0002891328740000052

Figure BDA0002891328740000053
Figure BDA0002891328740000053

相模变换后的1模电压、电流波形故障分量分别如图3(a)、(b)所示。The fault components of the 1-mode voltage and current waveforms after phase-to-mode conversion are shown in Figure 3(a) and (b), respectively.

步骤3:基于广义S变换计算3ms时窗内电压1模分量时频矩阵EU1Step 3: Calculate the time-frequency matrix E U1 of the voltage 1-modulus component in the 3ms time window based on the generalized S transform:

Figure BDA0002891328740000061
Figure BDA0002891328740000061

其中,T为采样时间间隔,单位为ms,N=3/T为3ms内的采样点数,n、m、v取值范围为[0,N-1],U1(v)为电压1模分量u1(nT)的离散傅里叶变换,k为窗宽调整系数。Among them, T is the sampling time interval, the unit is ms, N=3/T is the number of sampling points within 3ms, the value range of n, m, and v is [0, N-1], and U 1 (v) is the voltage 1 modulo Discrete Fourier transform of component u 1 (nT), where k is the window width adjustment coefficient.

步骤4:对各个频率的电压平方值在3ms时窗内进行求和,计算得到电压频率边际谱EU1(n):Step 4: Sum the voltage square values of each frequency within a 3ms time window, and calculate the voltage frequency marginal spectrum E U1 (n):

Figure BDA0002891328740000062
Figure BDA0002891328740000062

步骤5:以fth=1kHz作为高频、低频的阈值,计算电压1模分量的低频能量ELF_U1和高频能量EHF_U1,并计算其比值ρU1:Step 5: Taking f th =1kHz as the threshold value of high frequency and low frequency, calculate the low frequency energy E LF_U1 and the high frequency energy E HF_U1 of the voltage 1 mode component, and calculate the ratio ρ U1 :

Figure BDA0002891328740000063
Figure BDA0002891328740000063

其中,fs为信号采样频率。Among them, f s is the signal sampling frequency.

本例中对频率边际谱积分后,可得电压1模分量低频能量ELF_U1=0.594,高频能量EHF_U1=0.0429,比值ρU1=13.8569。In this example, after the frequency marginal spectrum is integrated, the low frequency energy E LF_U1 =0.594, the high frequency energy E HF_U1 =0.0429, and the ratio ρ U1 =13.8569 of the voltage 1 modulo component can be obtained.

步骤6:判断比值ρU1是否超过阈值ρset1,若超过,则判定为故障,进入步骤7;若未超过,则判定为雷击干扰,保护复归;Step 6: judge whether the ratio ρ U1 exceeds the threshold ρ set1 , if it exceeds, it is judged to be a fault, and proceed to step 7; if it does not exceed, it is judged to be lightning strike interference, and the protection is reset;

本例中设置的判断雷击干扰和故障的阈值ρset1=3.4133,比值ρU1超过阈值,判定为发生故障,判断结果信号如图3(c)所示,其中0表示发生了雷击干扰,1表示发生了故障,并进入下一步辨别发生了雷击故障还是普通短路故障的判断。In this example, the threshold ρ set1 = 3.4133 for judging lightning interference and faults is set. If the ratio ρ U1 exceeds the threshold, it is judged that a fault has occurred. The judgment result signal is shown in Figure 3(c), where 0 means lightning interference has occurred, and 1 means A fault has occurred, and the next step is to determine whether a lightning strike fault or an ordinary short-circuit fault has occurred.

步骤7:基于广义S变换计算1ms时窗内电流1模分量时频矩阵EI1Step 7: Calculate the time-frequency matrix E I1 of the current 1-mode component in the 1ms time window based on the generalized S transform:

Figure BDA0002891328740000071
Figure BDA0002891328740000071

其中,T为采样时间间隔,单位为ms,N=1/T为1ms内的采样点数,n、m、v取值范围为[0,N-1],I1(v)为电压1模分量i1(nT)的离散傅里叶变换,k为窗宽调整系数。Among them, T is the sampling time interval, the unit is ms, N=1/T is the number of sampling points within 1ms, the value range of n, m, and v is [0, N-1], and I 1 (v) is the voltage 1 modulo Discrete Fourier transform of component i 1 (nT), where k is the window width adjustment coefficient.

步骤8:对各个频率的电流平方值在1ms时窗内进行求和,计算得到电流频率边际谱EI1(f):Step 8: Sum the current square values of each frequency within a 1ms time window, and calculate the current frequency marginal spectrum E I1 (f):

Figure BDA0002891328740000072
Figure BDA0002891328740000072

步骤9:以fth=1kHz作为高频、低频的阈值,计算电流1模分量的低频能量ELF_I1和高频能量EHF_I1,并计算其比值ρI1:Step 9: take f th =1kHz as the high frequency and low frequency thresholds, calculate the low frequency energy E LF_I1 and the high frequency energy E HF_I1 of the 1-mode component of the current, and calculate the ratio ρ I1 :

Figure BDA0002891328740000073
Figure BDA0002891328740000073

其中,fs为信号采样频率。Among them, f s is the signal sampling frequency.

本例中对频率边际谱积分后,可得电流1模分量低频能量ELF_I1=0.1875,高频能量EHF_I1=0.1369,比值ρI1=1.3692。In this example, after the frequency marginal spectrum is integrated, the low frequency energy E LF_I1 =0.1875, the high frequency energy E HF_I1 =0.1369, and the ratio ρ I1 =1.3692 of the current 1-modulus component can be obtained.

步骤10:判断比值ρI1是否超过阈值ρset2,若超过,则判定为普通短路故障,若未超过,则判定为雷击故障,算法结束,保护正常出口。Step 10: Determine whether the ratio ρ I1 exceeds the threshold ρ set2 , if it exceeds, it is judged as a common short-circuit fault, if not, it is judged as a lightning strike fault, the algorithm ends, and the normal exit is protected.

本例中设置的判断雷击干扰和故障的阈值ρset1=10.6361,比值ρI1不超过阈值,判定为发生雷击故障,判断结果信号如图3(d)所示,其中0表示发生了普通短路故障,1表示发生了雷击故障,算法结束,保护正常出口。In this example, the threshold ρ set1 = 10.6361 for judging lightning interference and faults is set. If the ratio ρ I1 does not exceed the threshold, it is judged that a lightning fault has occurred. The judgment result signal is shown in Figure 3(d), where 0 indicates that a common short-circuit fault has occurred. , 1 indicates that a lightning strike fault occurs, the algorithm ends, and the normal exit is protected.

此外,在直流线路距离整流侧保护安装处450km发生雷击塔顶未导致故障时,电压1模分量波形、电流1模分量波形、是否发生故障判别结果、故障是否由雷击导致判别结果如图4(a)、图4(b)、图4(c)、图4(d)所示,判断为雷击干扰,保护复归。在直流线路距离整流侧保护安装处450km发生正极金属性接地短路故障时,电压1模分量波形、电流1模分量波形、是否发生故障判别结果、故障是否由雷击导致判别结果如图5(a)、图5(b)、图5(c)、图5(d)所示,判断为发生普通短路故障,保护正常出口。In addition, when the DC line is 450km away from the rectifier side protection installation site, the lightning strikes the top of the tower and does not cause a fault. The waveform of the voltage 1-mode component, the current 1-mode component waveform, the judgment results of whether a fault has occurred, and whether the fault is caused by lightning strikes are shown in Figure 4 ( a), as shown in Figure 4(b), Figure 4(c), and Figure 4(d), it is judged as lightning strike interference, and the protection is reset. When the DC line is 450km away from the rectifier side protection installation, a positive metal grounding short-circuit fault occurs, the voltage 1-mode component waveform, the current 1-mode component waveform, the judgment results of whether the fault occurs, and whether the fault is caused by lightning strikes are shown in Figure 5(a) , Figure 5 (b), Figure 5 (c), Figure 5 (d), it is judged that an ordinary short-circuit fault occurs, and the normal outlet is protected.

Claims (4)

1.一种基于广义S变换的高压直流输电线路雷击干扰识别方法,其特征在于:基于短数据窗,对不同类型的故障、干扰适应性好,不受过渡电阻和雷电流参数影响,包括以下步骤:1. a kind of high-voltage direct current transmission line lightning disturbance identification method based on generalized S transformation, it is characterized in that: based on short data window, to different types of faults, good interference adaptability, not affected by transition resistance and lightning current parameters, including the following step: 步骤1:以预设采样频率采集整流侧正、负极电压信号和电流信号,分别对电压信号和电流信号进行相模变换,获取电压1模分量和电流1模分量;Step 1: collect the positive and negative voltage signals and current signals of the rectifier side at a preset sampling frequency, and perform phase-mode transformation on the voltage signal and the current signal respectively to obtain the voltage 1-mode component and the current 1-mode component; 步骤2:设保护启动的时刻为t,雷击干扰识别系统自动记录保护启动后[t ms,(t+3)ms]内的电压1模分量和电流1模分量;Step 2: Set the protection start time as t, and the lightning strike interference identification system automatically records the voltage 1-mode component and the current 1-mode component within [t ms, (t+3) ms] after the protection starts; 步骤3:基于广义S变换计算3ms时窗内电压1模分量时频矩阵EU1Step 3: Calculate the time-frequency matrix E U1 of the voltage 1-modulus component in the 3ms time window based on the generalized S transform:
Figure FDA0002891328730000011
Figure FDA0002891328730000011
其中,T为采样时间间隔,单位为ms,N=3/T为3ms内的采样点数,n、m、v取值范围为[0,N-1],U1(v)为电压1模分量u1(nT)的离散傅里叶变换,k为窗宽调整系数;Among them, T is the sampling time interval, the unit is ms, N=3/T is the number of sampling points within 3ms, the value range of n, m, and v is [0, N-1], and U 1 (v) is the voltage 1 modulo Discrete Fourier transform of component u 1 (nT), k is the window width adjustment coefficient; 步骤4:对各个频率的电压平方值在3ms时窗内进行求和,计算得到电压频率边际谱EU1(n):Step 4: Sum the voltage square values of each frequency within a 3ms time window, and calculate the voltage frequency marginal spectrum E U1 (n):
Figure FDA0002891328730000012
Figure FDA0002891328730000012
步骤5:以fth=1kHz作为高频、低频的阈值,计算电压1模分量的低频能量ELF_U1和高频能量EHF_U1,并计算其比值ρU1:Step 5: Taking f th =1kHz as the threshold value of high frequency and low frequency, calculate the low frequency energy E LF_U1 and the high frequency energy E HF_U1 of the voltage 1 mode component, and calculate the ratio ρ U1 :
Figure FDA0002891328730000021
Figure FDA0002891328730000021
其中,fs为信号采样频率;Among them, f s is the signal sampling frequency; 步骤6:判断比值ρU1是否超过阈值ρset1,若超过,则判定为故障,进入步骤7;Step 6: determine whether the ratio ρ U1 exceeds the threshold ρ set1 , if it exceeds, it is judged as a fault, and the process goes to step 7; 步骤7:基于广义S变换计算1ms时窗内电流1模分量时频矩阵EI1Step 7: Calculate the time-frequency matrix E I1 of the current 1-mode component in the 1ms time window based on the generalized S transform:
Figure FDA0002891328730000022
Figure FDA0002891328730000022
其中,T为采样时间间隔,单位为ms,N=1/T为1ms内的采样点数,n、m、v取值范围为[0,N-1],I1(v)为电压1模分量i1(nT)的离散傅里叶变换,k为窗宽调整系数;Among them, T is the sampling time interval, the unit is ms, N=1/T is the number of sampling points within 1ms, the value range of n, m, and v is [0, N-1], and I 1 (v) is the voltage 1 modulo Discrete Fourier transform of component i 1 (nT), k is the window width adjustment coefficient; 步骤8:对各个频率的电流平方值在1ms时窗内进行求和,计算得到电流频率边际谱EI1(f):Step 8: Sum the current square values of each frequency within a 1ms time window, and calculate the current frequency marginal spectrum E I1 (f):
Figure FDA0002891328730000023
Figure FDA0002891328730000023
步骤9:以fth=1kHz作为高频、低频的阈值,计算电流1模分量的低频能量ELF_I1和高频能量EHF_I1,并计算其比值ρI1:Step 9: take f th =1kHz as the high frequency and low frequency thresholds, calculate the low frequency energy E LF_I1 and the high frequency energy E HF_I1 of the 1-mode component of the current, and calculate the ratio ρ I1 :
Figure FDA0002891328730000031
Figure FDA0002891328730000031
其中,fs为信号采样频率;Among them, f s is the signal sampling frequency; 步骤10:判断比值ρI1是否超过阈值ρset2,若超过,则判定为普通短路故障,若未超过,则判定为雷击故障,算法结束,保护正常出口。Step 10: Determine whether the ratio ρ I1 exceeds the threshold ρ set2 , if it exceeds, it is judged as a common short-circuit fault, if not, it is judged as a lightning strike fault, the algorithm ends, and the normal exit is protected.
2.根据权利要求1所述的一种基于广义S变换的高压直流输电线路雷击干扰识别方法,步骤1所述的预设采样频率设定为1MHz。2 . The method for identifying lightning strike interference of HVDC transmission lines based on generalized S transform according to claim 1 , wherein the preset sampling frequency in step 1 is set to 1 MHz. 3 . 3.根据权利要求1所述的一种基于广义S变换的高压直流输电线路雷击干扰识别方法,步骤6所述的阈值ρset1设定为3.4133。3. A method for identifying lightning strike disturbance of HVDC transmission lines based on generalized S transform according to claim 1, wherein the threshold ρ set1 described in step 6 is set to 3.4133. 4.根据权利要求1所述的一种高压直流输电线路雷击干扰识别方法,步骤10所述的阈值ρset2设定为10.6361。4 . The method for identifying lightning strike interference of HVDC transmission lines according to claim 1 , wherein the threshold ρ set2 described in step 10 is set to 10.6361. 5 .
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