WO2019037333A1 - Rapid fault recognition method based on curvature change of direct-current current waveform - Google Patents

Rapid fault recognition method based on curvature change of direct-current current waveform Download PDF

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WO2019037333A1
WO2019037333A1 PCT/CN2017/115155 CN2017115155W WO2019037333A1 WO 2019037333 A1 WO2019037333 A1 WO 2019037333A1 CN 2017115155 W CN2017115155 W CN 2017115155W WO 2019037333 A1 WO2019037333 A1 WO 2019037333A1
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fault
current
curvature
line
change
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PCT/CN2017/115155
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French (fr)
Chinese (zh)
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贾科
王聪博
毕天姝
李猛
李晨曦
宣振文
冯涛
赵琪娟
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华北电力大学
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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
    • G01R31/086Locating faults in cables, transmission lines, or networks according to type of conductors in power transmission or distribution networks, i.e. with interconnected conductors
    • 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

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  • the invention relates to the technical field of a DC distribution network, and in particular relates to a fast fault identification method based on a difference in curvature variation of a DC current waveform.
  • DC distribution network protection is difficult to apply the protection method of the AC distribution network, mainly due to its fault type, fault development process, fault voltage and current characteristics, and fault consequences.
  • the biggest problem for the realization of DC distribution network protection is the fastness and selectivity of protection.
  • overcurrent occurs in all DC lines.
  • the use of overcurrent protection to achieve fault identification requires DC breakers to operate quickly within 2-5ms, which is difficult.
  • Distance protection puts higher demands on precise distance measurement.
  • the research on the flexible DC distribution network in the prior art mainly focuses on the system control design, etc., which is limited to simple qualitative simulation, and the research is less, and the protection principles proposed in the existing literature mostly pass the harmonic of the component frequency band in the DC system.
  • the wave current is used for fault identification in the area and outside, the action time is 20ms (50Hz), and the electric current at both ends is required to calculate the line current separately and construct the action criterion, resulting in large protection calculation, complicated setting, no rapidity, and practical engineering. Poor sex.
  • the object of the present invention is to provide a fast fault identification method based on the difference of curvature variation of a direct current waveform, which is based on the abrupt characteristic of the line current after the fault, and the curvature algorithm is used to characterize the sudden change of the curvature of the current waveform to achieve the fault outside the identification area.
  • the purpose is to increase the selectivity of current mutation protection.
  • a fast fault identification method based on a difference in curvature variation of a DC current waveform comprising:
  • Step 1 For the multi-terminal flexible DC power distribution system with power electronic converter, obtain the mathematical expression of the fault current after the DC line fault according to the electrical quantity characteristics of each stage after the DC bipolar short-circuit fault occurs;
  • Step 2 According to the obtained mathematical expression of the fault current, the fault line is identified by the curvature algorithm by using the difference in curvature of the current waveform after the fault;
  • Step 3 According to the change of the DC current change rate di/dt, the line switch action is selected to realize the line fault protection.
  • step 1 the process of obtaining the mathematical expression of the fault current after the DC line fault is:
  • the time constant for the decay of the discharge current Is the natural angular frequency of the discharge circuit;
  • the angular frequency of the oscillating discharge current The initial phase angle of the discharge current caused by the initial current;
  • U dc is the sum of the capacitor voltages of the bridge arm input submodules
  • C 0 is the initial value of the submodule capacitor
  • n is the number of submodules
  • is the time constant of the discharge current decay
  • is the angular frequency of the oscillating discharge current
  • is the initial phase angle of the discharge current caused by the initial current.
  • the degree of bending is related to the equivalent resistance and reactance of the DC power distribution system, and can simultaneously reflect the physical characteristics of the resistor R and the inductor L, and then identify the faulty line by the curvature algorithm.
  • step 3 The specific process of step 3 is as follows:
  • the fault circuit is identified by the curvature algorithm of the step 2, and then the protection device selectively blocks the converter station according to the calculation result, and finally the switching operation.
  • the above method is based on the abrupt characteristic of the line current after the fault, and the curvature algorithm is used to characterize the sudden change of the curvature of the current waveform, thereby achieving the purpose of identifying the fault outside the region and improving the protection of the current sudden change. Selectivity.
  • FIG. 1 is a schematic flow chart of a method for quickly identifying faults based on a difference in curvature variation of a DC current waveform according to an embodiment of the present invention
  • FIG. 2 is a schematic structural diagram of a multi-terminal DC power distribution system according to an embodiment of the present invention
  • FIG. 3 is a simplified equivalent circuit diagram of a fault state according to an embodiment of the present invention.
  • FIG. 4 is a schematic diagram of geometric characterization of fault current according to an embodiment of the present invention.
  • FIG. 5 is a schematic diagram of simulation of a DC current measured after a DC bipolar short circuit occurs at each fault point according to an embodiment of the present invention
  • FIG. 6 is a schematic diagram of corresponding sampling points according to an embodiment of the present invention.
  • FIG. 7 is a schematic diagram of simulation results of current sudden amount protection according to an embodiment of the present invention.
  • FIG. 8 is a schematic diagram of simulation results of current waveform curvature protection according to an embodiment of the present invention.
  • FIG. 9 is a schematic diagram showing simulation results of current waveform curvature protection according to an embodiment of the present invention.
  • FIG. 10 is a schematic diagram showing simulation results of current waveform curvature (including noise) according to an embodiment of the present invention.
  • FIG. 1 is a schematic flowchart of a fast fault identification method based on a difference in curvature variation of a DC current waveform according to an embodiment of the present invention, where the method includes:
  • Step 1 For the multi-terminal flexible DC power distribution system with power electronic converter, obtain the mathematical expression of the fault current after the DC line fault according to the electrical quantity characteristics of each stage after the DC bipolar short-circuit fault occurs;
  • FIG. 2 is a schematic structural diagram of a multi-terminal DC power distribution system according to an embodiment of the present invention, and FIG. 2 is marked with a fault point position.
  • the CDSM-MMC The series capacitor firstly discharges to the fault point through the DC line, causing the module capacitor voltage to drop, the DC current to rise, the valve level device will be locked after 2-5ms after the fault, and the fault current contains the submodule capacitor discharge current and before the inverter is blocked.
  • the AC system feeds current.
  • the fault sub-module is still running normally, and the bridge arm sub-module capacitors are alternately discharged in sequence.
  • FIG. 3 is a simplified equivalent circuit diagram of the fault state according to the embodiment of the present invention.
  • the resistance, reactance, and capacitance in FIG. 3 are all associated with the reference direction. .
  • the capacitor discharge process is a second-order oscillating circuit.
  • the initial value of the capacitor voltage is V 0
  • the initial value of the inductor current is obtained.
  • I 0 the DC impedance of the reactor, the series impedance of the capacitor, and the contact resistance of the metal components of the discharge circuit are uniformly represented by R Stray .
  • the capacitor voltage after the fault can be obtained by solving the second-order differential equation:
  • U dc is the sum of the capacitor voltages of the bridge arm input submodules
  • C 0 is the initial value of the submodule capacitor
  • n is the number of submodules
  • is the time constant of the discharge current decay
  • is the angular frequency of the oscillating discharge current
  • is the initial phase angle of the discharge current caused by the initial current.
  • Step 2 According to the obtained mathematical expression of the fault current, using the curvature difference of the curvature of the current waveform after the fault, the fault circuit is identified by the curvature algorithm;
  • FIG. 4 is a schematic diagram of the geometric representation of the fault current according to the embodiment of the present invention.
  • the change pattern of the DC current after the fault (10 Hz sampling rate) is the same as the geometric property defined by the curvature in the mathematics. That is: from the perspective of geometric properties, when the DC system is in normal operation, the DC current remains in a straight line. When a fault occurs, the DC current changes and the straight line bends. From the perspective of physical properties, the current sudden change is protected.
  • the current differential (di/dt) is defined to express the amount of change in the direct current. From the principle of curvature, the curvature is also defined by differential, that is, the amount of change in the direct current can also be expressed.
  • the obtained mathematical expression of the fault current is first differentiated, and the rate of change of the fault component current (the rate of change of the fault current is the same as the rate of change of the fault component current) is expressed as:
  • the inductor current is much smaller than the capacitor discharge current, so the inductor current can be neglected. Therefore, it can be considered that the fault current is mainly composed of the capacitor discharge current, and the rising rate of the fault current is related to the equivalent reactance of the system, that is, the physics of the inductor L is reflected. characteristic.
  • the degree of bending is related to the equivalent resistance and reactance of the DC power distribution system, and can simultaneously reflect the physical characteristics of the resistor R and the inductor L, and then identify the faulty line by the curvature algorithm.
  • Step 3 According to the change of the DC current change rate di/dt, the line switch action is selected to realize the line fault protection.
  • the fault circuit is identified by the curvature algorithm of step 2, and then according to the calculation result, the protection device selectively blocks the converter station and finally switches.
  • the sampling rate is set to 10 kHz.
  • This simulation example is based on the protection of the fault point 11 in Figure 2, and selects the fault before, After 1ms as a data window, the sampling points are directly intercepted for protection criteria.
  • FIG. 5 is a schematic diagram of simulation of DC current measured after DC bipolar short circuit of each fault point in the embodiment of the present invention, the fault time is 0.8s, and the position includes the near end (F1) and the far end of the area respectively. F2), the outer end of the area (F3), as shown in Figure 6, is the corresponding sampling point diagram.
  • FIG. 7 is a schematic diagram showing simulation results of current sudden-change protection according to an embodiment of the present invention. It can be seen from FIG. 7 that the current variation amount and F1 (near-end) when a F1 (near-end) DC double-pole short-circuit fault occurs.
  • the amount of current change during the DC bipolar high-impedance ground fault is basically the same, and the theoretical analysis of step 2 is verified, that is, the di/dt protection is not affected by the resistance.
  • the current change amount is smaller than the F1 (near-end) DC bipolar short-circuit fault regardless of whether the fault point is high-resistance grounding.
  • the current waveform curvature can be used to clearly distinguish the outer fault.
  • the current is the current according to the embodiment of the present invention.
  • a schematic diagram of the simulation results of the waveform curvature protection, from FIG. 8 can verify the accuracy of the protection method proposed by the present invention and the reliability of the current waveform curvature algorithm.
  • FIG. 9 is a schematic diagram showing the simulation result comparison of the current waveform curvature protection according to the embodiment of the present invention, from FIG. 9 It can be seen that the algorithm can distinguish the out-of-zone faulty lines in the multi-terminal DC distribution network by the magnitude of k. At the same time, in order to distinguish between F4 (outside the end) and F2 (distal in the area), the protection 11 can correctly identify the fault in the zone or outside the zone, and an appropriate delay can be used.
  • FIG. 10 is a schematic diagram of the simulation result of the current waveform curvature (including noise) exemplified in the embodiment of the present invention, and the current waveform curvature algorithm provided by the present invention can still be correctly calculated.
  • the fast fault identification method based on the difference of the curvature variation of the DC current waveform provided by the embodiment of the present invention is based on the abrupt characteristic of the line current after the fault, and the curvature algorithm is used to characterize the sudden change of the curvature of the current waveform to reach the identification area.
  • the purpose of the external fault is to increase the selectivity of the current sudden change protection.
  • the advantage of this method is that the action speed is fast, it can move quickly about 1ms after the fault, and has better selectivity, which can effectively identify the fault outside the zone, and has no special requirements on the sampling rate of the system, strong anti-noise ability and calculation amount. Small and does not require communication.

Abstract

A rapid fault recognition method based on a curvature change of a direct-current current waveform, comprising: for a multi-end flexible direct-current power distribution system containing a power electronic converter, according to an electrical quantity characteristic in each phase after the occurrence of a direct-current bipolar short circuit fault, obtaining a mathematical expression of a fault current after the direct-current line fault (1); according to the obtained mathematical expression of the fault current, recognising a fault line utilising the difference in the change of the curvature of a current waveform after the fault by means of a curvature algorithm (2); and then according to the change conditions of a direct-current change rate di/dt, selecting a line switching on/off action, to realise fault protection of the line (3). In the method, based on a sudden change characteristic of a line current after a fault, the sudden change of the curvature of a current waveform is characterised by a curvature algorithm, achieving the aim of recognising an external fault, and improving the selectivity of protection for a sudden current change quantity.

Description

一种基于直流电流波形曲率变化差异的故障快速识别方法A Fast Fault Identification Method Based on Difference of Curvature Change of DC Current Waveform
本申请要求于2017年8月22日提交中国专利局、申请号为201710724344.0、发明名称为“一种基于直流电流波形曲率变化差异的故障快速识别方法”的中国专利申请的优先权,其全部内容通过引用结合在本申请中。This application claims the priority of the Chinese Patent Application filed on August 22, 2017, the Chinese Patent Office, Application No. 201710724344.0, entitled "A Fast Fault Identification Method Based on the Difference of Curvature Variation of DC Current Waveforms", the entire contents of which is hereby incorporated by reference. This is incorporated herein by reference.
技术领域Technical field
本发明涉及直流配电网技术领域,尤其涉及一种基于直流电流波形曲率变化差异的故障快速识别方法。The invention relates to the technical field of a DC distribution network, and in particular relates to a fast fault identification method based on a difference in curvature variation of a DC current waveform.
发明背景Background of the invention
随着分布式发电装置和电力电子技术的快速发展,智能电网未来的发展方向主要集中在配电网,尤其是直流配电网以有效接纳分布式电源、高效稳定电压变换及控制、系统优化配置、电能质量高、供电可靠性强、经济性好等特点受到了国内外学者的广泛关注。而直流配电网中的保护技术作为该系统的关键技术之一,其中包含直流故障的快速、可靠的识别技术,正处于理论研究和试验探索阶段。With the rapid development of distributed generation devices and power electronics technology, the future development direction of smart grids is mainly concentrated in distribution networks, especially DC distribution networks to effectively accept distributed power supplies, efficient and stable voltage conversion and control, and system optimization. The characteristics of high power quality, strong power supply reliability and good economy have been widely concerned by scholars at home and abroad. As one of the key technologies of the system, the protection technology in the DC distribution network, including the fast and reliable identification technology of DC fault, is in the stage of theoretical research and experimental exploration.
相比于交流配电网而言,直流配电网保护难以套用交流配电网的保护方法,主要是由于其故障类型、故障发展过程、故障电压电流特性、故障后果都不相同。其中,给直流配电网保护实现带来最大难题的是保护的速动性与选择性。当系统中任意直流线路发生故障时,所有直流线路都会发生过流现象,因电力电子器件的耐受过流能力相对较弱,要在2-5ms内快速识别直流故障以防止设备损坏,所以若利用过流保护实现故障的识别,则要求直流断路器可以在2-5ms内快速动作,难度较大。而距离保护则对精确测距提出了更高的要求。现有技术中关于柔性直流配电网的研究主要集中于系统控制设计等方面,仅局限于简单的定性仿真,研究较少,且现有文献提出的保护原理大多通过直流系统中元件频段的谐波电流进行区内外故障识别,动作时间是20ms(50Hz),同时需要两端电气量分别计算线路电流并由此构造动作判据,导致保护计算量大,整定复杂,不具有快速性,工程实用性较差。Compared with the AC distribution network, DC distribution network protection is difficult to apply the protection method of the AC distribution network, mainly due to its fault type, fault development process, fault voltage and current characteristics, and fault consequences. Among them, the biggest problem for the realization of DC distribution network protection is the fastness and selectivity of protection. When any DC line in the system fails, overcurrent occurs in all DC lines. Because the overcurrent capability of power electronic devices is relatively weak, it is necessary to quickly identify DC faults within 2-5ms to prevent equipment damage. The use of overcurrent protection to achieve fault identification requires DC breakers to operate quickly within 2-5ms, which is difficult. Distance protection puts higher demands on precise distance measurement. The research on the flexible DC distribution network in the prior art mainly focuses on the system control design, etc., which is limited to simple qualitative simulation, and the research is less, and the protection principles proposed in the existing literature mostly pass the harmonic of the component frequency band in the DC system. The wave current is used for fault identification in the area and outside, the action time is 20ms (50Hz), and the electric current at both ends is required to calculate the line current separately and construct the action criterion, resulting in large protection calculation, complicated setting, no rapidity, and practical engineering. Poor sex.
发明内容Summary of the invention
本发明的目的是提供一种基于直流电流波形曲率变化差异的故障快速识别方法,该方法以故障后线路电流的突变特性为基础,通过曲率算法表征电流波形曲率的突变,达到识别区外故障的目的,提高了电流突变量保护的选择性。 The object of the present invention is to provide a fast fault identification method based on the difference of curvature variation of a direct current waveform, which is based on the abrupt characteristic of the line current after the fault, and the curvature algorithm is used to characterize the sudden change of the curvature of the current waveform to achieve the fault outside the identification area. The purpose is to increase the selectivity of current mutation protection.
一种基于直流电流波形曲率变化差异的故障快速识别方法,所述方法包括:A fast fault identification method based on a difference in curvature variation of a DC current waveform, the method comprising:
步骤1、针对含电力电子换流器的多端柔性直流配电系统,根据直流双极短路故障发生后各阶段的电气量特征,获得直流线路故障后故障电流的数学表达式; Step 1. For the multi-terminal flexible DC power distribution system with power electronic converter, obtain the mathematical expression of the fault current after the DC line fault according to the electrical quantity characteristics of each stage after the DC bipolar short-circuit fault occurs;
步骤2、根据所得到的故障电流数学表达式,利用故障后电流波形曲率的变化差异,通过曲率算法识别出故障线路;Step 2: According to the obtained mathematical expression of the fault current, the fault line is identified by the curvature algorithm by using the difference in curvature of the current waveform after the fault;
步骤3、再根据直流电流变化率di/dt的变化情况,选择线路开关动作,实现线路的故障保护。Step 3: According to the change of the DC current change rate di/dt, the line switch action is selected to realize the line fault protection.
在所述步骤1中,获得直流线路故障后故障电流的数学表达式的过程为:In the step 1, the process of obtaining the mathematical expression of the fault current after the DC line fault is:
设电容电压初值为V0,电感电流初值为I0,电抗器的直流阻抗、电容器的串联阻抗、放电回路金属构件的接触电阻统一用RStray表示,则故障后电容电压通过求解二阶微分方程得到:Let the initial value of the capacitor voltage be V 0 , the initial value of the inductor current be I 0 , the DC resistance of the reactor, the series impedance of the capacitor, and the contact resistance of the metal components of the discharge circuit are uniformly represented by R Stray , then the capacitor voltage after the fault is solved by the second order. The differential equation is obtained:
Figure PCTCN2017115155-appb-000001
Figure PCTCN2017115155-appb-000001
式中,
Figure PCTCN2017115155-appb-000002
为放电电流衰减的时间常数;
Figure PCTCN2017115155-appb-000003
为放电电路固有角频率;
Figure PCTCN2017115155-appb-000004
为振荡放电电流的角频率;
Figure PCTCN2017115155-appb-000005
为由初始电流引起的放电电流的初相角;
In the formula,
Figure PCTCN2017115155-appb-000002
The time constant for the decay of the discharge current;
Figure PCTCN2017115155-appb-000003
Is the natural angular frequency of the discharge circuit;
Figure PCTCN2017115155-appb-000004
The angular frequency of the oscillating discharge current;
Figure PCTCN2017115155-appb-000005
The initial phase angle of the discharge current caused by the initial current;
进一步得到直流线路故障后故障电流的数学表达式为:The mathematical expression of the fault current after further DC line fault is:
Figure PCTCN2017115155-appb-000006
Figure PCTCN2017115155-appb-000006
式中,Udc是桥臂投入子模块的电容电压之和,C0为子模块电容初值,n为子模块个数,σ为放电电流衰减的时间常数;ω为振荡放电电流的角频率;α为由初始电流引起的放电电流的初相角。Where U dc is the sum of the capacitor voltages of the bridge arm input submodules, C 0 is the initial value of the submodule capacitor, n is the number of submodules, σ is the time constant of the discharge current decay; ω is the angular frequency of the oscillating discharge current ; α is the initial phase angle of the discharge current caused by the initial current.
在所述步骤2中,In the step 2,
首先将所得到的故障电流数学表达式进行微分,得到故障分量电流的变化率表示为:First, the obtained mathematical expression of the fault current is differentiated, and the rate of change of the fault component current is expressed as:
Figure PCTCN2017115155-appb-000007
Figure PCTCN2017115155-appb-000007
进一步将故障电流数学表达式带入曲率公式,计算故障初始时刻直流电流的弯曲程度表示为: Further, the mathematical expression of the fault current is brought into the curvature formula, and the degree of bending of the direct current at the initial time of the fault is calculated as:
Figure PCTCN2017115155-appb-000008
Figure PCTCN2017115155-appb-000008
所述弯曲程度与直流配电系统等效的电阻、电抗相关,能同时反应电阻R和电感L的物理特性,进而通过曲率算法识别出故障线路。The degree of bending is related to the equivalent resistance and reactance of the DC power distribution system, and can simultaneously reflect the physical characteristics of the resistor R and the inductor L, and then identify the faulty line by the curvature algorithm.
所述步骤3的具体过程为:The specific process of step 3 is as follows:
若系统稳定运行,则直流电流变化率di/dt一直保持为零;If the system is running stably, the DC current rate of change di/dt remains at zero;
在发生故障瞬间,若计算di/dt值大于本地线路故障整定值Imax时,则两侧换流器全部闭锁,本地线路开关动作;In the event of a fault, if the calculated di/dt value is greater than the local line fault setting value Imax, then both converters are blocked and the local line switch is activated;
若计算di/dt启动且未达到Imax值时,则利用所述步骤2的曲率算法识别出故障线路,再根据计算结果,利用保护装置有选择性的闭锁换流站,最后开关动作。If the di/dt is started and the Imax value is not reached, the fault circuit is identified by the curvature algorithm of the step 2, and then the protection device selectively blocks the converter station according to the calculation result, and finally the switching operation.
由上述本发明提供的技术方案可以看出,上述方法以故障后线路电流的突变特性为基础,通过曲率算法表征电流波形曲率的突变,达到识别区外故障的目的,提高了电流突变量保护的选择性。It can be seen from the technical solution provided by the above invention that the above method is based on the abrupt characteristic of the line current after the fault, and the curvature algorithm is used to characterize the sudden change of the curvature of the current waveform, thereby achieving the purpose of identifying the fault outside the region and improving the protection of the current sudden change. Selectivity.
附图简要说明BRIEF DESCRIPTION OF THE DRAWINGS
为了更清楚地说明本发明实施例的技术方案,下面将对实施例描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域的普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他附图。In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings used in the description of the embodiments will be briefly described below. It is obvious that the drawings in the following description are only some embodiments of the present invention, Those of ordinary skill in the art will be able to obtain other figures from these drawings without the inventive effort.
图1为本发明实施例所提供基于直流电流波形曲率变化差异的故障快速识别方法流程示意图;1 is a schematic flow chart of a method for quickly identifying faults based on a difference in curvature variation of a DC current waveform according to an embodiment of the present invention;
图2为本发明实施例所举出的多端直流配电系统结构示意图;2 is a schematic structural diagram of a multi-terminal DC power distribution system according to an embodiment of the present invention;
图3为本发明实施例所举出的故障状态简化等效回路图;3 is a simplified equivalent circuit diagram of a fault state according to an embodiment of the present invention;
图4为本发明实施例所述故障电流几何表征示意图;4 is a schematic diagram of geometric characterization of fault current according to an embodiment of the present invention;
图5为本发明实施例中各故障点发生直流双极短路后测得的直流电流仿真示意图;5 is a schematic diagram of simulation of a DC current measured after a DC bipolar short circuit occurs at each fault point according to an embodiment of the present invention;
图6为本发明实施例所述相应的采样点示意图;FIG. 6 is a schematic diagram of corresponding sampling points according to an embodiment of the present invention; FIG.
图7为本发明实施例所述电流突变量保护的仿真结果示意图;7 is a schematic diagram of simulation results of current sudden amount protection according to an embodiment of the present invention;
图8为本发明实施例所述电流波形曲率保护的仿真结果示意图;FIG. 8 is a schematic diagram of simulation results of current waveform curvature protection according to an embodiment of the present invention; FIG.
图9为本发明实施例所举出的电流波形曲率保护仿真对比结果示意图; FIG. 9 is a schematic diagram showing simulation results of current waveform curvature protection according to an embodiment of the present invention; FIG.
图10为本发明实施例所举出的电流波形曲率(含噪音)的仿真结果示意图。FIG. 10 is a schematic diagram showing simulation results of current waveform curvature (including noise) according to an embodiment of the present invention.
实施本发明的方式Mode for carrying out the invention
下面结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明的保护范围。The technical solutions in the embodiments of the present invention are clearly and completely described in the following with reference to the drawings in the embodiments of the present invention. It is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments obtained by a person of ordinary skill in the art based on the embodiments of the present invention without creative efforts are within the scope of the present invention.
下面将结合附图对本发明实施例作进一步地详细描述,如图1所示为本发明实施例所提供基于直流电流波形曲率变化差异的故障快速识别方法流程示意图,所述方法包括:The embodiments of the present invention are further described in detail below with reference to the accompanying drawings. FIG. 1 is a schematic flowchart of a fast fault identification method based on a difference in curvature variation of a DC current waveform according to an embodiment of the present invention, where the method includes:
步骤1、针对含电力电子换流器的多端柔性直流配电系统,根据直流双极短路故障发生后各阶段的电气量特征,获得直流线路故障后故障电流的数学表达式; Step 1. For the multi-terminal flexible DC power distribution system with power electronic converter, obtain the mathematical expression of the fault current after the DC line fault according to the electrical quantity characteristics of each stage after the DC bipolar short-circuit fault occurs;
在该步骤中,如图2所示为本发明实施例所举出的多端直流配电系统结构示意图,图2中标注了故障点位置,当直流线路发生双极短路故障后,CDSM-MMC的串联电容首先通过直流线路向故障点快速放电,导致模块电容电压下降,直流电流上升,阀级设备会在故障后2-5ms后闭锁,换流器闭锁前,故障电流包含子模块电容放电电流和交流系统馈入电流。故障瞬间子模块依然正常运行,桥臂子模块电容依次交替放电,在忽略换流器控制策略和故障前负荷电流影响的前提下,根据叠加原理,故障状态可以等效为正常运行状态和故障附加状态的叠加,因此可以得到故障附加状态简化等效回路,如图3所示为本发明实施例所举出的故障状态简化等效回路图,图3中电阻、电抗、电容均取关联参考方向。In this step, FIG. 2 is a schematic structural diagram of a multi-terminal DC power distribution system according to an embodiment of the present invention, and FIG. 2 is marked with a fault point position. When a DC line has a bipolar short-circuit fault, the CDSM-MMC The series capacitor firstly discharges to the fault point through the DC line, causing the module capacitor voltage to drop, the DC current to rise, the valve level device will be locked after 2-5ms after the fault, and the fault current contains the submodule capacitor discharge current and before the inverter is blocked. The AC system feeds current. The fault sub-module is still running normally, and the bridge arm sub-module capacitors are alternately discharged in sequence. Under the premise of neglecting the inverter control strategy and the pre-fault load current, the fault state can be equivalent to the normal running state and fault attachment according to the superposition principle. The superposition of states, so that the fault-added state simplified equivalent circuit can be obtained. FIG. 3 is a simplified equivalent circuit diagram of the fault state according to the embodiment of the present invention. The resistance, reactance, and capacitance in FIG. 3 are all associated with the reference direction. .
由于故障瞬间直流电压Udc是桥臂投入子模块的电容电压之和,且在实际系统中电容放电过程是二阶振荡电路,本实施例中设电容电压初值为V0,电感电流初值为I0,电抗器的直流阻抗、电容器的串联阻抗、放电回路金属构件的接触电阻统一用RStray表示,故障后电容电压可以通过求解二阶微分方程得到:Since the fault instantaneous DC voltage U dc is the sum of the capacitor voltages of the bridge arm input sub-modules, and in the actual system, the capacitor discharge process is a second-order oscillating circuit. In this embodiment, the initial value of the capacitor voltage is V 0 , and the initial value of the inductor current is obtained. For I 0 , the DC impedance of the reactor, the series impedance of the capacitor, and the contact resistance of the metal components of the discharge circuit are uniformly represented by R Stray . The capacitor voltage after the fault can be obtained by solving the second-order differential equation:
Figure PCTCN2017115155-appb-000009
Figure PCTCN2017115155-appb-000009
式中:
Figure PCTCN2017115155-appb-000010
为放电电流衰减的时间常数;
Figure PCTCN2017115155-appb-000011
为放电电路固有角频率;
Figure PCTCN2017115155-appb-000012
为振荡放电电流的角频率;
Figure PCTCN2017115155-appb-000013
为由初始电流引起的放电 电流的初相角。一般情况下,
Figure PCTCN2017115155-appb-000014
远小于
Figure PCTCN2017115155-appb-000015
可以认为ω=ω0
In the formula:
Figure PCTCN2017115155-appb-000010
The time constant for the decay of the discharge current;
Figure PCTCN2017115155-appb-000011
Is the natural angular frequency of the discharge circuit;
Figure PCTCN2017115155-appb-000012
The angular frequency of the oscillating discharge current;
Figure PCTCN2017115155-appb-000013
The initial phase angle of the discharge current caused by the initial current. In general,
Figure PCTCN2017115155-appb-000014
Far less than
Figure PCTCN2017115155-appb-000015
It can be considered that ω = ω 0 .
进一步得到直流线路故障后故障电流的数学表达式为:The mathematical expression of the fault current after further DC line fault is:
Figure PCTCN2017115155-appb-000016
Figure PCTCN2017115155-appb-000016
式中:Udc是桥臂投入子模块的电容电压之和,C0为子模块电容初值,n为子模块个数,σ为放电电流衰减的时间常数;ω为振荡放电电流的角频率;α为由初始电流引起的放电电流的初相角。Where: U dc is the sum of the capacitor voltages of the bridge arm input submodules, C 0 is the initial value of the submodule capacitor, n is the number of submodules, σ is the time constant of the discharge current decay; ω is the angular frequency of the oscillating discharge current ; α is the initial phase angle of the discharge current caused by the initial current.
步骤2、根据所得到的故障电流数学表达式,利用故障后电流波形曲率的变化差异,通过曲率算法识别故障线路;Step 2: According to the obtained mathematical expression of the fault current, using the curvature difference of the curvature of the current waveform after the fault, the fault circuit is identified by the curvature algorithm;
在该步骤中,当直流线路发生直流双极短路故障后,直流电流迅速变化(上升)。将故障点处放大,如图4所示为本发明实施例所述故障电流几何表征示意图,参考图4:故障后直流电流的变化图形(10Hz采样率)与数学中曲率定义的几何属性相同,即:从几何属性角度分析,在直流系统正常运行时,直流电流保持一条直线不变,当发生故障后,直流电流发生变化,直线发生弯曲;从物理属性角度分析,由于电流突变量保护是以电流微分(di/dt)定义,表达了直流电流的变化量,而由曲率原理可知曲率也是通过微分定义,即也可以表达直流电流的变化量。In this step, the DC current rapidly changes (rises) when a DC bipolar short-circuit fault occurs on the DC line. Amplifying the fault point, as shown in FIG. 4 is a schematic diagram of the geometric representation of the fault current according to the embodiment of the present invention. Referring to FIG. 4: the change pattern of the DC current after the fault (10 Hz sampling rate) is the same as the geometric property defined by the curvature in the mathematics. That is: from the perspective of geometric properties, when the DC system is in normal operation, the DC current remains in a straight line. When a fault occurs, the DC current changes and the straight line bends. From the perspective of physical properties, the current sudden change is protected. The current differential (di/dt) is defined to express the amount of change in the direct current. From the principle of curvature, the curvature is also defined by differential, that is, the amount of change in the direct current can also be expressed.
通过上述分析,首先将所得到的故障电流数学表达式进行微分,得到故障分量电流的变化率(故障电流的变化率与故障分量电流的变化率相同)表示为:Through the above analysis, the obtained mathematical expression of the fault current is first differentiated, and the rate of change of the fault component current (the rate of change of the fault current is the same as the rate of change of the fault component current) is expressed as:
Figure PCTCN2017115155-appb-000017
Figure PCTCN2017115155-appb-000017
其中,电感电流远远小于电容放电电流,故电感电流可忽略不计,因此可以认为故障电流主要由电容放电电流组成,且故障电流的上升率与系统等效电抗有关,即反应出电感L的物理特性。Among them, the inductor current is much smaller than the capacitor discharge current, so the inductor current can be neglected. Therefore, it can be considered that the fault current is mainly composed of the capacitor discharge current, and the rising rate of the fault current is related to the equivalent reactance of the system, that is, the physics of the inductor L is reflected. characteristic.
进一步的将故障电流表达式带入曲率公式中,计算故障初始时刻直流电流的弯曲程度:Further, the fault current expression is brought into the curvature formula to calculate the degree of bending of the direct current at the initial fault:
Figure PCTCN2017115155-appb-000018
Figure PCTCN2017115155-appb-000018
该弯曲程度与直流配电系统等效的电阻、电抗相关,能同时反应电阻R和电感L的物理特性,进而通过曲率算法识别出故障线路。 The degree of bending is related to the equivalent resistance and reactance of the DC power distribution system, and can simultaneously reflect the physical characteristics of the resistor R and the inductor L, and then identify the faulty line by the curvature algorithm.
步骤3、再根据直流电流变化率di/dt的变化情况,选择线路开关动作,实现线路的故障保护。Step 3: According to the change of the DC current change rate di/dt, the line switch action is selected to realize the line fault protection.
在该步骤中,具体过程为:In this step, the specific process is:
从理论上而言,若系统稳定运行,则直流电流变化率di/dt在不考虑功率转移的前提下一直保持为零(di/dt=0);Theoretically, if the system is operating stably, the DC current rate of change di/dt remains zero (di/dt = 0) without considering the power transfer;
在发生故障瞬间,若计算di/dt值大于本地线路故障整定值Imax时,则两侧换流器全部闭锁,本地线路开关动作;In the event of a fault, if the calculated di/dt value is greater than the local line fault setting value Imax, then both converters are blocked and the local line switch is activated;
若计算di/dt启动且未达到Imax值时,则利用步骤2的曲率算法识别出故障线路,然后根据计算结果,保护装置有选择性的闭锁换流站,最后开关动作。If the calculation of di/dt is started and the Imax value is not reached, the fault circuit is identified by the curvature algorithm of step 2, and then according to the calculation result, the protection device selectively blocks the converter station and finally switches.
下面以具体的仿真算例对上述方法进行验证,综合考虑保护动作速度以及实际装置硬件水平,采样率设为10kHz,本仿真算例以保护图2中的故障点11为基准,选取故障前、后各1ms作为数据窗,直接截取采样点进行保护判据。The following method is used to verify the above method with specific simulation examples. Considering the protection action speed and the actual device hardware level, the sampling rate is set to 10 kHz. This simulation example is based on the protection of the fault point 11 in Figure 2, and selects the fault before, After 1ms as a data window, the sampling points are directly intercepted for protection criteria.
如图5所示为本发明实施例中各故障点发生直流双极短路后测得的直流电流仿真示意图,故障时刻为0.8s,位置分别包括区内近端(F1)、区内远端(F2)、区外远端(F3),如图6所示为相应的采样点示意图。FIG. 5 is a schematic diagram of simulation of DC current measured after DC bipolar short circuit of each fault point in the embodiment of the present invention, the fault time is 0.8s, and the position includes the near end (F1) and the far end of the area respectively. F2), the outer end of the area (F3), as shown in Figure 6, is the corresponding sampling point diagram.
如图7所示为本发明实施例所述电流突变量保护的仿真结果示意图,从图7可以看出:F1(近端)发生直流双极短路故障时的电流变化量与F1(近端)直流双极高阻接地故障时的电流变化量基本相同,验证了步骤2的理论分析,即di/dt保护不受电阻影响。F2(远端)发生直流双极短路故障时,无论故障点是否高阻接地,其电流变化量都要比F1(近端)直流双极短路故障时小,其原因在于故障点F1与F2之间直流线路存在电感,更加验证了步骤2所分析的真实性与准确性。当发生区外(F3)故障时,当F3(区外远端)发生直流双极短路故障时,利用电流波形曲率能明显区分区外故障,如图8所示为本发明实施例所述电流波形曲率保护的仿真结果示意图,由图8可验证本发明提出的保护方法的准确性与电流波形曲率算法的可靠性。FIG. 7 is a schematic diagram showing simulation results of current sudden-change protection according to an embodiment of the present invention. It can be seen from FIG. 7 that the current variation amount and F1 (near-end) when a F1 (near-end) DC double-pole short-circuit fault occurs. The amount of current change during the DC bipolar high-impedance ground fault is basically the same, and the theoretical analysis of step 2 is verified, that is, the di/dt protection is not affected by the resistance. When a DC bipolar short-circuit fault occurs at F2 (remote), the current change amount is smaller than the F1 (near-end) DC bipolar short-circuit fault regardless of whether the fault point is high-resistance grounding. The reason is that the fault points F1 and F2 The presence of inductance in the DC line further verifies the authenticity and accuracy of the analysis in step 2. When an out-of-zone (F3) fault occurs, when a DC bipolar short-circuit fault occurs in F3 (outside-area), the current waveform curvature can be used to clearly distinguish the outer fault. As shown in FIG. 8, the current is the current according to the embodiment of the present invention. A schematic diagram of the simulation results of the waveform curvature protection, from FIG. 8 can verify the accuracy of the protection method proposed by the present invention and the reliability of the current waveform curvature algorithm.
电流波形曲率保护仿真对比结果,当图2中的F5、F3发生直流双极短路故障时,如图9所示为本发明实施例所举出的电流波形曲率保护仿真对比结果示意图,从图9可以看出:该算法可以利用k值的大小区分多端直流配电网中区外故障线路。同时为区分F4(区外近端)与F2(区内远端)发生直流双极短路故障时保护11可以正确判别区内还是区外故障,可以采用适当的延时。The current waveform curvature protection simulation comparison result, when the DC bipolar short circuit fault occurs in F5 and F3 in FIG. 2, FIG. 9 is a schematic diagram showing the simulation result comparison of the current waveform curvature protection according to the embodiment of the present invention, from FIG. 9 It can be seen that the algorithm can distinguish the out-of-zone faulty lines in the multi-terminal DC distribution network by the magnitude of k. At the same time, in order to distinguish between F4 (outside the end) and F2 (distal in the area), the protection 11 can correctly identify the fault in the zone or outside the zone, and an appropriate delay can be used.
另外,还可以在仿真中加入信噪比为40dB的白噪声,测试噪音干扰对所提保护的 影响,如图10所示为本发明实施例所举出的电流波形曲率(含噪音)的仿真结果示意图,本发明所提供的电流波形曲率算法依然可以正确计算。In addition, white noise with a signal-to-noise ratio of 40dB can be added to the simulation to test the noise interference for the proposed protection. The effect, as shown in FIG. 10 is a schematic diagram of the simulation result of the current waveform curvature (including noise) exemplified in the embodiment of the present invention, and the current waveform curvature algorithm provided by the present invention can still be correctly calculated.
由上述仿真结果可知,本发明实施例所提供的表明基于直流电流波形曲率变化差异的故障快速识别方法以故障后线路电流的突变特性为基础,通过曲率算法表征电流波形曲率的突变,达到识别区外故障的目的,提高了电流突变量保护的选择性。该方法的优点主要是动作速度快,能在故障后1ms左右快速动作,有较好的选择性,可有效的识别区外故障,同时对系统采样率无特殊要求、抗噪能力强、计算量小,且不需要通信。It can be seen from the above simulation results that the fast fault identification method based on the difference of the curvature variation of the DC current waveform provided by the embodiment of the present invention is based on the abrupt characteristic of the line current after the fault, and the curvature algorithm is used to characterize the sudden change of the curvature of the current waveform to reach the identification area. The purpose of the external fault is to increase the selectivity of the current sudden change protection. The advantage of this method is that the action speed is fast, it can move quickly about 1ms after the fault, and has better selectivity, which can effectively identify the fault outside the zone, and has no special requirements on the sampling rate of the system, strong anti-noise ability and calculation amount. Small and does not require communication.
以上所述,仅为本发明较佳的具体实施方式,但本发明的保护范围并不局限于此,任何熟悉本技术领域的技术人员在本发明披露的技术范围内,可轻易想到的变化或替换,都应涵盖在本发明的保护范围之内。因此,本发明的保护范围应该以权利要求书的保护范围为准。 The above is only a preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art can easily think of changes or within the technical scope of the present disclosure. Alternatives are intended to be covered by the scope of the present invention. Therefore, the scope of the invention should be determined by the scope of the claims.

Claims (4)

  1. 一种基于直流电流波形曲率变化差异的故障快速识别方法,其特征在于,所述方法包括:A fast fault identification method based on a difference in curvature of a DC current waveform, wherein the method comprises:
    步骤1、针对含电力电子换流器的多端柔性直流配电系统,根据直流双极短路故障发生后各阶段的电气量特征,获得直流线路故障后故障电流的数学表达式;Step 1. For the multi-terminal flexible DC power distribution system with power electronic converter, obtain the mathematical expression of the fault current after the DC line fault according to the electrical quantity characteristics of each stage after the DC bipolar short-circuit fault occurs;
    步骤2、根据所得到的故障电流数学表达式,利用故障后电流波形曲率的变化差异,通过曲率算法识别出故障线路;Step 2: According to the obtained mathematical expression of the fault current, the fault line is identified by the curvature algorithm by using the difference in curvature of the current waveform after the fault;
    步骤3、再根据直流电流变化率di/dt的变化情况,选择线路开关动作,实现线路的故障保护。Step 3: According to the change of the DC current change rate di/dt, the line switch action is selected to realize the line fault protection.
  2. 根据权利要求1所述方法,其特征在于,在所述步骤1中,获得直流线路故障后故障电流的数学表达式的过程为:The method of claim 1 wherein in said step 1, the process of obtaining a mathematical expression of the fault current after a DC line fault is:
    设电容电压初值为V0,电感电流初值为I0,电抗器的直流阻抗、电容器的串联阻抗、放电回路金属构件的接触电阻统一用RStray表示,则故障后电容电压通过求解二阶微分方程得到:Let the initial value of the capacitor voltage be V 0 , the initial value of the inductor current be I 0 , the DC resistance of the reactor, the series impedance of the capacitor, and the contact resistance of the metal components of the discharge circuit are uniformly represented by R Stray , then the capacitor voltage after the fault is solved by the second order. The differential equation is obtained:
    Figure PCTCN2017115155-appb-100001
    Figure PCTCN2017115155-appb-100001
    式中,
    Figure PCTCN2017115155-appb-100002
    为放电电流衰减的时间常数;
    Figure PCTCN2017115155-appb-100003
    为放电电路固有角频率;
    Figure PCTCN2017115155-appb-100004
    为振荡放电电流的角频率;
    Figure PCTCN2017115155-appb-100005
    为由初始电流引起的放电电流的初相角;
    In the formula,
    Figure PCTCN2017115155-appb-100002
    The time constant for the decay of the discharge current;
    Figure PCTCN2017115155-appb-100003
    Is the natural angular frequency of the discharge circuit;
    Figure PCTCN2017115155-appb-100004
    The angular frequency of the oscillating discharge current;
    Figure PCTCN2017115155-appb-100005
    The initial phase angle of the discharge current caused by the initial current;
    进一步得到直流线路故障后故障电流的数学表达式为:The mathematical expression of the fault current after further DC line fault is:
    Figure PCTCN2017115155-appb-100006
    Figure PCTCN2017115155-appb-100006
    式中,Udc是桥臂投入子模块的电容电压之和,C0为子模块电容初值,n为子模块个数,σ为放电电流衰减的时间常数;ω为振荡放电电流的角频率;α为由初始电流引起的放电电流的初相角。Where U dc is the sum of the capacitor voltages of the bridge arm input submodules, C 0 is the initial value of the submodule capacitor, n is the number of submodules, σ is the time constant of the discharge current decay; ω is the angular frequency of the oscillating discharge current ; α is the initial phase angle of the discharge current caused by the initial current.
  3. 根据权利要求1所述方法,其特征在于,在所述步骤2中,The method of claim 1 wherein in said step 2
    首先将所得到的故障电流数学表达式进行微分,得到故障分量电流的变化率表示为: First, the obtained mathematical expression of the fault current is differentiated, and the rate of change of the fault component current is expressed as:
    Figure PCTCN2017115155-appb-100007
    Figure PCTCN2017115155-appb-100007
    进一步将故障电流数学表达式带入曲率公式,计算故障初始时刻直流电流的弯曲程度表示为:Further, the mathematical expression of the fault current is brought into the curvature formula, and the degree of bending of the direct current at the initial time of the fault is calculated as:
    Figure PCTCN2017115155-appb-100008
    Figure PCTCN2017115155-appb-100008
    所述弯曲程度与直流配电系统等效的电阻、电抗相关,能同时反应电阻R和电感L的物理特性,进而通过曲率算法识别出故障线路。The degree of bending is related to the equivalent resistance and reactance of the DC power distribution system, and can simultaneously reflect the physical characteristics of the resistor R and the inductor L, and then identify the faulty line by the curvature algorithm.
  4. 根据权利要求1所述方法,其特征在于,所述步骤3的具体过程为:The method according to claim 1, wherein the specific process of step 3 is:
    若系统稳定运行,则直流电流变化率di/dt一直保持为零;If the system is running stably, the DC current rate of change di/dt remains at zero;
    在发生故障瞬间,若计算di/dt值大于本地线路故障整定值Imax时,则两侧换流器全部闭锁,本地线路开关动作;In the event of a fault, if the calculated di/dt value is greater than the local line fault setting value Imax, then both converters are blocked and the local line switch is activated;
    若计算di/dt启动且未达到Imax值时,则利用所述步骤2的曲率算法识别出故障线路,再根据计算结果,利用保护装置有选择性的闭锁换流站,最后开关动作。 If the di/dt is started and the Imax value is not reached, the fault circuit is identified by the curvature algorithm of the step 2, and then the protection device selectively blocks the converter station according to the calculation result, and finally the switching operation.
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