CN105518958B - DC power grid current differential protection method and system - Google Patents
DC power grid current differential protection method and system Download PDFInfo
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- CN105518958B CN105518958B CN201480033071.XA CN201480033071A CN105518958B CN 105518958 B CN105518958 B CN 105518958B CN 201480033071 A CN201480033071 A CN 201480033071A CN 105518958 B CN105518958 B CN 105518958B
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02H—EMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
- H02H7/00—Emergency 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
- H02H7/26—Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured
- H02H7/268—Sectionalised 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
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02H—EMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
- H02H7/00—Emergency 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
- H02H7/26—Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured
- H02H7/261—Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured involving signal transmission between at least two stations
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/08—Locating faults in cables, transmission lines, or networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02H—EMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
- H02H7/00—Emergency 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
- H02H7/26—Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured
- H02H7/261—Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured involving signal transmission between at least two stations
- H02H7/263—Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured involving signal transmission between at least two stations involving transmissions of measured values
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02H—EMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
- H02H7/00—Emergency 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
- H02H7/26—Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured
- H02H7/265—Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured making use of travelling wave theory
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Abstract
Description
技术领域technical field
本申请涉及DC电网电流差动保护方法及其系统。The present application relates to a DC grid current differential protection method and a system thereof.
背景技术Background technique
在现有HVDC系统中,通常基于本地测量值的行波前的保护被用作主保护,经典电流差动保护用作备用保护。然而他们的缺点在于:主保护对高电阻故障的灵敏度差,并且可能在LCC DC电网中误动;而备用保护具有非常慢的动作速度。In existing HVDC systems, protection based on traveling wave fronts, usually based on local measurements, is used as primary protection, and classical current differential protection is used as backup protection. However, their disadvantages are: the primary protection has poor sensitivity to high-resistance faults, and may malfunction in the LCC DC grid; while the backup protection has a very slow action speed.
在现有的两终端HVDC系统中,用于输电线的主保护主要基于方向行波前的变化速率和振幅。这类保护具有明显的优点,就是它只使用本地测量值并且对金属故障具有非常快的动作速度。In existing two-terminal HVDC systems, the primary protection for transmission lines is mainly based on the rate of change and amplitude of the directional traveling wave front. This type of protection has the obvious advantage that it uses only local measurements and has a very fast action on metal faults.
但是这类保护的一个缺点是它对高电阻故障的灵敏度非常低(差)。通常>200Ohm的故障电阻可能会导致动作失败,因为波前的振幅很大程度上依赖于故障电阻。因此,高电阻故障不得不由其动作速度非常慢(例如>0.5s)的备用电流差动保护清除。这明显是不合理的。But one disadvantage of this type of protection is its very low (poor) sensitivity to high resistance faults. Typically a fault resistance of >200 Ohm may cause actuation failure, since the amplitude of the wavefront is largely dependent on the fault resistance. Therefore, high-resistance faults have to be cleared by back-up current differential protection whose action speed is very slow (eg >0.5s). This is obviously unreasonable.
此外,该保护基于HVDC系统中的平波电抗器的物理特征,平波电抗器能够减慢电流变化。在一些类型的DC电网系统(例如,一些类型的串联MTDC系统)中,外部故障引起的行波将不会流经平波电抗器,上述的基于行波的HVDC保护将不会动作或误动。在最坏的情况下,如果外部DC故障发生在具有较高电压水平的线路上,那么它的行波前甚至会大于由内部故障引起的行波前。这会给现有的基于行波的HVDC保护带来大麻烦。Furthermore, the protection is based on the physical characteristics of smoothing reactors in HVDC systems, which slow down current changes. In some types of DC grid systems (for example, some types of series MTDC systems), traveling waves caused by external faults will not flow through smoothing reactors, and the above-mentioned traveling wave-based HVDC protection will not operate or malfunction . In the worst case, if an external DC fault occurs on a line with a higher voltage level, then its traveling wavefront will be even larger than that caused by the internal fault. This will bring big troubles to the existing HVDC protection based on traveling waves.
图1是示出LCC DC电网中的内部和外部DC故障的行波前的图表。Figure 1 is a graph showing traveling wave fronts for internal and external DC faults in an LCC DC grid.
如图1所示,来自内部故障和外部故障的波前的变化速率在开始时是绝对相同的。同时,外部故障的行波前甚至比内部故障的行波前大得多,因为外部线路的电压水平较高。As shown in Figure 1, the rate of change of the wavefront from internal and external faults is absolutely the same at the beginning. At the same time, the traveling wave front of an external fault is even much larger than that of an internal fault because of the higher voltage level of the external line.
在传统的行波保护装置中,如图2所示,三个不同的测量值将开始确定是否该波在指定时间内具有足够的振幅。第一个测量值计算正好在波前之前和正好在10次采样(0.2ms)之后之间的波差。第二个和第三个测量值计算正好在波前之前和正好在25次和35次采样(0.5ms和0.7ms)之后之间的波差。如果三个测量值都大于阈值,则检测到线路故障。In a traditional traveling wave protection device, as shown in Figure 2, three different measurements will start to determine whether the wave has sufficient amplitude for a specified time. The first measurement calculates the wave difference between just before the wavefront and just after 10 samples (0.2ms). The second and third measurements calculate the wave difference between just before the wavefront and just after 25 and 35 samples (0.5ms and 0.7ms). If all three measurements are greater than the threshold, a line fault has been detected.
鉴于图1中的外部故障的波前甚至大于内部故障的波前,并且外部与内部故障两者的变化速率具有相同的速率,因此在这种情况下现有HVDC主保护将在LCCDC电网中误动。换句话说,现有的HVDC行波保护不能直接用于LCC DC电网中。Given that the wave front of the external fault in Fig. 1 is even larger than that of the internal fault, and the rate of change of both the external and internal faults has the same rate, the existing HVDC main protection will misfire in the LCCDC grid in this case. verb: move. In other words, existing HVDC traveling wave protection cannot be directly used in LCC DC grids.
在现有的HVDC系统中,通常用于输电线的备用保护是线路电流差动保护。经典电流差动保护算法被用在这类保护中。这类保护在主保护(行波保护)不能工作时(例如高电阻故障)动作。In existing HVDC systems, the backup protection usually used for transmission lines is line current differential protection. Classical current differential protection algorithms are used in this type of protection. This type of protection operates when the main protection (traveling wave protection) fails (eg high resistance fault).
下面示出了电流差动保护的典型判据,Typical criteria for current differential protection are shown below,
|IDL-IDL_FOS|>max(120A,0.1×|IDL+IDL_FOS|/2)|I DL -I DL_FOS |>max(120A, 0.1×|I DL +I DL_FOS |/2)
其中IDL是本地侧的电流,IDL_FOS是远程侧的电流。where I DL is the current on the local side and I DL_FOS is the current on the remote side.
下面示出了电流差动保护的另一典型判据,Another typical criterion for current differential protection is shown below,
||IDL|-|IDL_FOS||>90A||I DL |-|I DL_FOS ||>90A
通常,如果设定恰当则电流差动保护的灵敏度会相当好。但是它的动作速度太慢。它的动作时间通常为数百毫秒或甚至数秒。主要原因在于故障瞬态和充电电流将极大地影响该保护算法。因此,长的延迟是必须的以确保可靠性。Usually, the sensitivity of current differential protection is quite good if set properly. But it moves too slowly. Its action time is usually hundreds of milliseconds or even seconds. The main reason is that the fault transient and charging current will greatly affect the protection algorithm. Therefore, long delays are necessary to ensure reliability.
主保护和备用保护都可能被高阻抗故障影响。Both primary and backup protection can be affected by high impedance faults.
1)对行波保护的影响1) Impact on traveling wave protection
现有的行波判据是:The existing traveling wave criterion is:
|WCOMM|=|ZCOMICOM-UCOM|>350kV|W COMM |=|Z COM I COM -U COM |>350kV
|WPOLE|=|ZDIFIDIF-UDIF|>210kV|W POLE |=|Z DIF I DIF -U DIF |>210kV
其中,ZCOM是共模波阻抗,ZDIF是差模波阻抗,WPOLE是极波,WCOMM是地波。Among them, Z COM is the common-mode wave impedance, Z DIF is the differential-mode wave impedance, W POLE is the pole wave, and W COMM is the ground wave.
ICOM是共模电流,UCOM是共模电压,IDIF是差模电流,UDIF是差模电压。I COM is the common-mode current, U COM is the common-mode voltage, I DIF is the differential-mode current, and U DIF is the differential-mode voltage.
该保护使用地波的变化速率来检测波头。This protection uses the rate of change of ground waves to detect wave fronts.
|dWCOMM/dt|>396kV/ms|dW COMM /dt|>396kV/ms
当线路通过大阻抗接入大地时,DC电压以小的变化速率下降,导致现有的基于行波的保护的误动作。When the line is connected to the ground through a large impedance, the DC voltage drops at a small rate of change, which leads to the malfunction of the existing protection based on traveling waves.
如果行波保护误动作,控制和保护系统将延迟以消除故障。If the traveling wave protection malfunctions, the control and protection system will delay to eliminate the fault.
2)对电压变化速率和低压保护的影响2) Impact on voltage change rate and low voltage protection
电压变化速率的判据是:The criterion for the rate of voltage change is:
DUT=dUdl/dt<-396kV/ms&Udl<200kV,其中Udl是线路电压,DUT是对应的变化速率。D UT =dU dl /dt<-396kV/ms&U dl <200kV, where U dl is the line voltage and D UT is the corresponding rate of change.
当线路通过大阻抗接入大地时,小的DC电压下降将导致电压变化速率保护误动作。When the line is connected to the ground through a large impedance, a small DC voltage drop will cause the voltage change rate protection to malfunction.
3)对电流差动保护的影响3) Impact on current differential protection
下面示出了电流差动保护的典型判据:Typical criteria for current differential protection are shown below:
|IDL-IDL_FOS|>max(ISET,k×|IDL+IDL_FOS|/2)|I DL -I DL_FOS |>max(I SET , k×|I DL +I DL_FOS |/2)
其中ISET是固定的电流设定值,通常设定成120A,k是比率系数,通常设定成0.1。Among them, I SET is a fixed current setting value, usually set to 120A, and k is a ratio coefficient, usually set to 0.1.
为了确保在大阻抗故障的条件下的动作,设定值ISET和k通常设定成一小值。因此延迟时间必须设定得足够长以避免由电容充电电流引起的误动作。In order to ensure operation under the condition of a large impedance fault, the setting values I SET and k are usually set to small values. Therefore the delay time must be set long enough to avoid malfunction caused by the capacitor charging current.
如果快速保护(行波保护)误动作,后备保护将延迟工作。并且延迟时间太长而不能保证电力系统的稳定运行。If the fast protection (traveling wave protection) malfunctions, the backup protection will delay working. And the delay time is too long to ensure the stable operation of the power system.
发明内容Contents of the invention
因此,本发明的一方面提供一种DC电网电流差动保护方法,包括以下步骤:Therefore, one aspect of the present invention provides a DC grid current differential protection method, comprising the following steps:
采样值获得步骤:获得DC线路的本地终端和远程终端的极电压采样值和极电流采样值;The sampling value obtaining step: obtaining the sampled value of the pole voltage and the sampled value of the pole current of the local terminal and the remote terminal of the DC line;
故障分量提取步骤:根据本地终端和远程终端的极电压采样值分别计算故障分量极电压值;以及根据本地终端和远程终端的极电流采样值分别计算故障分量极电流值;The fault component extraction step: calculating the pole voltage value of the fault component according to the pole voltage sampling values of the local terminal and the remote terminal respectively; and calculating the pole current value of the fault component respectively according to the pole current sampling values of the local terminal and the remote terminal;
贝杰龙模型计算步骤:通过基于贝杰龙模型计算在故障分量提取步骤中计算的本地终端和远程终端的故障分量极电压值和故障分量极电流值,获得本地终端和远程终端之间的DC线路上的选定点处的故障分量极电流值;Bergeron model calculation step: By calculating the fault component pole voltage value and fault component pole current value of the local terminal and remote terminal calculated in the fault component extraction step based on the Bergeron model, the DC between the local terminal and the remote terminal is obtained Pole current value of the fault component at a selected point on the line;
电流差动保护判定步骤:如果在贝杰龙模型计算步骤中获得的本地终端和远程终端的选定点处的故障分量极电流值满足预设电流差动保护判据,则判定内部故障。Judgment step of current differential protection: If the pole current values of the fault components at the selected points of the local terminal and the remote terminal obtained in the Bergeron model calculation step satisfy the preset current differential protection criterion, an internal fault is determined.
优选地,DC电网是双极的,并且DC线路包括正极DC线路和负极DC线路,本地终端包括正极本地终端和负极本地终端,远程终端包括正极远程终端和负极远程终端,正极DC线路电连接正极本地终端和正极远程终端,并且负极DC线路电连接负极本地终端和负极远程终端,从选定点到正极本地终端的距离和从选定点到负极本地终端的距离相同,并且从选定点到正极远程终端的距离和从选定点到负极远程终端的距离相同;还包括:Preferably, the DC grid is bipolar, and the DC line includes a positive DC line and a negative DC line, the local terminals include a positive local terminal and a negative local terminal, the remote terminals include a positive remote terminal and a negative remote terminal, and the positive DC line is electrically connected to the positive The local terminal and the positive remote terminal, and the negative DC line electrically connects the negative local terminal and the negative remote terminal, the distance from the selected point to the positive local terminal is the same as the distance from the selected point to the negative local terminal, and from the selected point to The distance from the positive remote terminal is the same as the distance from the selected point to the negative remote terminal; also includes:
极模变换步骤:通过对正极本地终端、正极远程终端、负极本地终端和负极远程终端中的每个的所述故障分量极电压值进行极模变换,获得本地终端和远程终端的每一模量的故障分量模电压值;以及通过对正极本地终端、正极远程终端、负极本地终端和负极远程终端中的每个的所述故障分量极电流值进行极模变换,获得本地终端和远程终端的每一模量的故障分量模电流值;Pole mode transformation step: obtaining each modulus of the local terminal and the remote terminal by performing pole mode transformation on said fault component pole voltage value of each of the positive local terminal, the positive remote terminal, the negative local terminal and the negative remote terminal and obtaining each of the local terminal and the remote terminal by pole-mode transforming said fault component pole current value for each of the positive local terminal, the positive remote terminal, the negative local terminal, and the negative remote terminal A modulus fault component modulus current value;
贝杰龙模型计算步骤还包括:Bergeron model calculation steps also include:
通过基于贝杰龙模型计算本地终端和远程终端的每一模量的故障分量模电压值和故障分量模电流值,分别获得本地终端和远程终端的每一模量的故障分量模行波电压值;By calculating the fault component mode voltage value and fault component mode current value of each modulus of the local terminal and the remote terminal based on the Bergeron model, the fault component mode traveling wave voltage value of each modulus of the local terminal and the remote terminal is obtained respectively ;
分别将本地终端和远程终端的故障分量模行波电压值转换成本地终端和远程终端的故障分量模行波电流值;Converting the fault component mode traveling wave voltage values of the local terminal and the remote terminal into fault component mode traveling wave current values of the local terminal and the remote terminal respectively;
分别根据本地终端和远程终端的故障分量模行波电流值确定DC线路上的选定点处的本地终端和远程终端的故障分量模电流值;determining fault component mode current values for the local terminal and the remote terminal at selected points on the DC line based on the fault component mode traveling wave current values for the local terminal and the remote terminal, respectively;
通过对在选定点处的本地终端的每一模量的故障分量模电流值进行模极变换,获得在DC线路上的选定点处的正极本地终端和负极本地终端中的每个的故障分量极电流值,以及通过对在选定点处的远程终端的每一模量的故障分量模电流值进行模极变换,获得在选定点处的正极远程终端和负极远程终端的故障分量极电流值。The fault of each of the positive local terminal and the negative local terminal at a selected point on the DC line is obtained by modulo-polar transformation of the fault component modulo current value of each modulus of the local terminal at the selected point Component pole current values, and by performing modulo-pole transformation on the fault component modulo current value of each modulus of the remote terminal at the selected point, the fault component poles of the positive remote terminal and the negative remote terminal at the selected point are obtained current value.
方便地,极电压采样值包括:uLP(t),即正极本地终端的电压采样值;uLN(t),即负极本地终端的电压采样值;uRP(t),即正极远程终端的电压采样值;uRN(t),即负极远程终端的电压采样值;其中t指的是时间;Conveniently, the pole voltage sampling values include: u LP (t), that is, the voltage sampling value of the positive local terminal; u LN (t), that is, the voltage sampling value of the negative local terminal; u RP (t), that is, the voltage sampling value of the positive remote terminal Voltage sampling value; u RN (t), that is, the voltage sampling value of the negative remote terminal; wherein t refers to time;
极电流采样值包括:iLP(t),即正极本地终端的电流采样值;iLN(t),即负极本地终端的电流采样值;iRP(t),即正极远程终端的电流采样值;iRN(t),即负极远程终端的电流采样值;Pole current sampling values include: i LP (t), the current sampling value of the positive local terminal; i LN (t), the current sampling value of the negative local terminal; i RP (t), the current sampling value of the positive remote terminal ; i RN (t), the current sampling value of the negative remote terminal;
故障分量极电压值包括:ΔuLP(t),即和uLP(t)相对应的正极本地终端的故障分量电压值;ΔuLN(t),即和uLN(t)相对应的负极本地终端的故障分量电压值;ΔuRP(t),即和uRP(t)相对应的正极远程终端的故障分量电压值;ΔuRN(t),即和uRN(t)相对应的负极远程终端的故障分量电压值;The fault component pole voltage value includes: Δu LP (t), that is, the fault component voltage value of the positive local terminal corresponding to u LP (t); Δu LN (t), that is, the negative local terminal corresponding to u LN (t). The fault component voltage value of the terminal; Δu RP (t), that is, the fault component voltage value of the positive remote terminal corresponding to u RP (t); Δu RN (t), that is, the negative remote terminal corresponding to u RN (t) Terminal fault component voltage value;
故障分量极电流值包括:ΔiLP(t),即和iLP(t)相对应的正极本地终端的故障分量电流值;ΔiLN(t),即和iLN(t)相对应的负极本地终端的故障分量电流值;ΔiRP(t),即和iRP(t)相对应的正极远程终端的故障分量电流值;ΔiRN(t),即和iRN(t)相对应的负极远程终端的故障分量电流值;The fault component pole current value includes: Δi LP (t), that is, the fault component current value of the positive local terminal corresponding to i LP (t); Δi LN (t), that is, the negative local terminal corresponding to i LN (t). The fault component current value of the terminal; Δi RP (t), that is, the fault component current value of the positive remote terminal corresponding to i RP (t); Δi RN (t), that is, the negative remote terminal corresponding to i RN (t) Terminal fault component current value;
故障分量模电压值包括:ΔuL0(t),即本地终端的故障分量共模电压值;ΔuL1(t),即本地终端的故障分量差模电压值;ΔuR0(t),即远程终端的故障分量共模电压值;ΔuR1(t),即远程终端的故障分量差模电压值;The fault component mode voltage value includes: Δu L0 (t), which is the common mode voltage value of the fault component of the local terminal; Δu L1 (t), which is the differential mode voltage value of the fault component of the local terminal; Δu R0 (t), which is the remote terminal The common-mode voltage value of the fault component of ; Δu R1 (t), that is, the differential-mode voltage value of the fault component of the remote terminal;
故障分量模电流值包括:ΔiL0(t),即本地终端的故障分量共模电流值;ΔiL1(t),即本地终端的故障分量差模电流值;ΔiR0(t),即远程终端的故障分量共模电流值;ΔiR1(t),即远程终端的故障分量差模电流值;The fault component mode current value includes: Δi L0 (t), which is the fault component common mode current value of the local terminal; Δi L1 (t), which is the fault component differential mode current value of the local terminal; Δi R0 (t), which is the remote terminal Δi R1 (t), that is, the differential mode current value of the fault component of the remote terminal;
故障分量行波电压值包括:ΔuL0+(t),即本地终端的故障分量共模正向行波电压值;ΔuL0-(t),即本地终端的故障分量共模反向行波电压值;ΔuL1+(t),即本地终端的故障分量差模正向行波电压值;ΔΔuL0-(t),即本地终端的故障分量差模反向行波电压值;ΔuR0+(t),即远程终端的故障分量共模正向行波电压值;ΔuR0-(t),即远程终端的故障分量共模反向行波电压值;ΔuR1+(t),远程终端的故障分量差模正向行波电压值;ΔuR1-(t),远程终端的故障分量差模反向行波电压值;The fault component traveling wave voltage value includes: Δu L0+ (t), which is the common mode forward traveling wave voltage value of the fault component of the local terminal; Δu L0- (t), which is the common mode reverse traveling wave voltage value of the fault component of the local terminal ; Δu L1+ (t), that is, the fault component differential mode forward traveling wave voltage value of the local terminal; ΔΔu L0- (t), that is, the fault component differential mode reverse traveling wave voltage value of the local terminal; Δu R0+ (t), That is, the common-mode forward traveling wave voltage value of the fault component of the remote terminal; Δu R0- (t), that is, the common-mode reverse traveling wave voltage value of the fault component of the remote terminal; Δu R1+ (t), the differential mode fault component of the remote terminal Forward traveling wave voltage value; Δu R1- (t), remote terminal fault component differential mode reverse traveling wave voltage value;
故障分量行波电流值包括:ΔiL0+(t),即本地终端的故障分量共模正向行波电流值;ΔiL0-(t),即本地终端的故障分量共模反向行波电流值;ΔiL1+(t),即本地终端的故障分量差模正向行波电流值;ΔiL1-(t),即本地终端的故障分量差模反向行波电流值;ΔiR0+(t),即远程终端的故障分量共模正向行波电流值;ΔiR0-(t),即远程终端的故障分量共模反向行波电流值;ΔiR1+(t),即远程终端的故障分量差模正向行波电流值;ΔiR1-(t),即远程终端的故障分量差模反向行波电流值;The fault component traveling wave current value includes: Δi L0+ (t), which is the common mode forward traveling wave current value of the fault component of the local terminal; Δi L0- (t), which is the common mode reverse traveling wave current value of the fault component of the local terminal ; Δi L1+ (t), that is, the differential mode forward traveling wave current value of the fault component of the local terminal; Δi L1- (t), that is, the reverse traveling wave current value of the fault component differential mode of the local terminal; Δi R0+ (t), That is, the common-mode forward traveling wave current value of the fault component of the remote terminal; Δi R0- (t), that is, the common-mode reverse traveling wave current value of the fault component of the remote terminal; Δi R1+ (t), that is, the fault component difference of the remote terminal Δi R1- (t), that is, the fault component differential mode reverse traveling wave current value of the remote terminal;
在选定点处的故障分量模电流值包括:ΔiL0(x,t),即本地终端的选定点处的故障分量共模电流值;ΔiL1(x,t),即本地终端的选定点处的故障分量差模电流值;ΔiR0(x,t),即远程终端的选定点处的故障分量共模电流值;ΔiR1(x,t),即远程终端的选定点处的故障分量差模电流值,其中x是选定点;The fault component mode current value at the selected point includes: Δi L0 (x, t), which is the fault component common mode current value at the selected point of the local terminal; Δi L1 (x, t), which is the selected point of the local terminal The fault component differential mode current value at the fixed point; Δi R0 (x, t), which is the fault component common mode current value at the selected point of the remote terminal; Δi R1 (x, t), which is the selected point of the remote terminal The fault component differential mode current value at , where x is the selected point;
在选定点处的故障分量极电流值包括:ΔiLP(x,t),即正极本地终端的选定点处的故障分量极电流值;ΔiLN(x,t),即负极本地终端的选定点处的故障分量极电流值;ΔiRP(x,t),即正极远程终端的选定点处的故障分量极电流值;ΔiRN(x,t),即负极远程终端的选定点处的故障分量极电流值。The fault component pole current value at the selected point includes: Δi LP (x, t), which is the fault component pole current value at the selected point of the positive local terminal; Δi LN (x, t), which is the negative local terminal The fault component pole current value at the selected point; Δi RP (x, t), the fault component pole current value at the selected point of the positive remote terminal; Δi RN (x, t), the selected negative remote terminal The fault component pole current value at the point.
方便地,在故障分量提取步骤中,采用以下方式计算故障分量极电压值和故障分量极电压值:Conveniently, in the fault component extraction step, the fault component pole voltage value and the fault component pole voltage value are calculated in the following manner:
其中T表示预设时间延迟;Where T represents a preset time delay;
在极模变换步骤中,采用以下方式计算故障分量模电压值和故障分量模电流值:In the pole mode conversion step, the fault component mode voltage value and the fault component mode current value are calculated in the following manner:
在贝杰龙模型计算步骤中包括:The calculation steps in the Bergeron model include:
采用以下方式计算故障分量模行波电压值:The following method is used to calculate the fault component mode traveling wave voltage value:
其中ZC0是共模波阻抗;ZC1是差模波阻抗;Among them, Z C0 is the common-mode wave impedance; Z C1 is the differential-mode wave impedance;
采用以下方式计算故障分量模行波电流值:Calculate the fault component mode traveling wave current value in the following way:
采用以下方式计算在选定点处的故障分量模电流值:Calculate the fault component modulo current value at the selected point in the following way:
其中,v0是故障分量共模行波的行进速度,v1是故障分量差模行波的行进速度;Among them, v 0 is the traveling speed of the common-mode traveling wave of the fault component, and v 1 is the traveling speed of the differential-mode traveling wave of the fault component;
采用以下方式计算选定点处的故障分量极电流值:The fault component pole current value at the selected point is calculated as follows:
方便地,电流差动保护判定步骤包括:Conveniently, the determination steps of the current differential protection include:
如果满足|ΔiLP(x,t)+ΔiRP(x,t)|>Ires,则判定状态为正极内部故障,如果满足|ΔiLN(x,t)+ΔiRN(x,t)|>Ires,则判定状态为负极内部故障,其中Ires是预设阈值;If |Δi LP (x, t)+Δi RP (x, t)|>I res is satisfied, the state is determined to be positive internal fault, if |Δi LN (x, t)+Δi RN (x, t)| >I res , then it is determined that the state is a negative internal fault, where I res is the preset threshold;
否则,将不激活差动保护。Otherwise, the differential protection will not be activated.
优选地,DC电网是单极的:Preferably, the DC grid is unipolar:
贝杰龙模型计算步骤还包括:Bergeron model calculation steps also include:
通过基于贝杰龙模型,计算本地终端和远程终端的故障分量极电压值和故障分量模电流值,分别获得本地终端和远程终端的故障分量极行波电压值;Based on the Bergeron model, calculate the polar voltage value of the fault component and the mode current value of the fault component of the local terminal and the remote terminal, and obtain the polar traveling wave voltage value of the fault component of the local terminal and the remote terminal respectively;
分别将本地终端和远程终端的故障分量极行波电压值转换成本地终端和远程终端的故障分量模行波电流值;Converting the fault component polar traveling wave voltage values of the local terminal and the remote terminal into the fault component modulus traveling wave current values of the local terminal and the remote terminal;
根据本地终端和远程终端的故障分量极行波电流值,确定DC线路上的选定点处的本地终端和远程终端的故障分量极电流值。Based on the fault component polar traveling wave current values of the local terminal and the remote terminal, the fault component pole current values of the local terminal and the remote terminal at selected points on the DC line are determined.
方便地,在故障分量提取步骤中,采用以下方式计算故障分量极电压值和故障分量极电压值:Conveniently, in the fault component extraction step, the fault component pole voltage value and the fault component pole voltage value are calculated in the following manner:
其中,T表示预设时间延迟,ΔiL(t)是本地终端的故障分量极电流值,ΔiR(t)是远程终端的故障分量极电流值,ΔuL(t)是本地终端的故障分量极电压值,ΔuR(t)是远程终端的故障分量极电压值,iL(t)是本地终端的电流采样值,iR(t)是远程终端的电流采样值,uL(t)是本地终端的电压采样值,uR(t)是远程终端的电压采样值,t指的是时间;Among them, T represents the preset time delay, Δi L (t) is the pole current value of the fault component of the local terminal, Δi R (t) is the pole current value of the fault component of the remote terminal, and Δu L (t) is the fault component of the local terminal Pole voltage value, Δu R (t) is the fault component pole voltage value of the remote terminal, i L (t) is the current sampling value of the local terminal, i R (t) is the current sampling value of the remote terminal, u L (t) is the voltage sampling value of the local terminal, u R (t) is the voltage sampling value of the remote terminal, and t refers to time;
在贝杰龙模型计算步骤中包括:The calculation steps in the Bergeron model include:
采用以下方式计算故障分量极行波电压值:The following method is used to calculate the fault component polar traveling wave voltage value:
其中ZC是波阻抗,ΔuL+(t)是本地终端的故障分量极正向行波电压值;ΔuL-(t)是本地终端的故障分量极反向行波电压值;ΔuR+(t)是远程终端的故障分量极正向行波电压值;ΔuR-(t)是远程终端的故障分量极反向行波电压值;where Z C is the wave impedance, Δu L+ (t) is the positive traveling wave voltage value of the fault component pole of the local terminal; Δu L- (t) is the reverse traveling wave voltage value of the fault component pole of the local terminal; Δu R+ (t ) is the positive traveling wave voltage value of the fault component pole of the remote terminal; Δu R- (t) is the reverse traveling wave voltage value of the fault component pole of the remote terminal;
采用以下方式计算故障分量极行波电流值:Calculate the pole traveling wave current value of the fault component in the following way:
其中,ΔiL+(t)是本地终端的故障分量极正向行波电流值;ΔiL-(t)是本地终端的故障分量极反向行波电流值;ΔiR+(t)是远程终端的故障分量极正向行波电流值;ΔiR-(t)是远程终端的故障分量极反向行波电流值;Among them, Δi L+ (t) is the polar forward traveling wave current value of the fault component of the local terminal; Δi L- (t) is the polar reverse traveling wave current value of the fault component of the local terminal; Δi R+ (t) is the value of the remote terminal Pole forward traveling wave current value of the fault component; Δi R- (t) is the reverse traveling wave current value of the fault component pole of the remote terminal;
采用以下方式计算在选定位置处的故障分量极电流值:The fault component pole current value at the selected location is calculated as follows:
其中ΔiL(x,t)是本地终端的选定点处的故障分量极电流值;ΔiR(x,t)是远程终端的选定点处的故障分量极电流值,v是故障分量行波的行进速度。where Δi L (x, t) is the pole current value of the fault component at the selected point of the local terminal; Δi R (x, t) is the pole current value of the fault component at the selected point of the remote terminal, and v is the fault component row The speed at which the wave travels.
方便地,在电流差动保护判定步骤中包括:Conveniently, the step of judging the current differential protection includes:
如果满足|ΔiL(x,t)+ΔiR(x,t)|>Ires,则判定状态为内部故障,其中Ires是预设阈值。If |Δi L (x, t)+Δi R (x, t)|>I res is satisfied, the state is determined to be an internal fault, where I res is a preset threshold.
方便地,电流差动保护判定步骤还包括:Conveniently, the step of judging the current differential protection further includes:
如果状态被判定成内部故障,则发送故障保护命令以激活差动保护;否则,将不激活差动保护。If the status is judged as an internal fault, a failsafe command is sent to activate the differential protection; otherwise, the differential protection will not be activated.
本发明的另一方面提供了一种计算机程序,包括适于当在电脑上运行时执行上述任一方面的所有步骤的计算机程序代码。Another aspect of the present invention provides a computer program comprising computer program code adapted to perform all the steps of any of the above aspects when run on a computer.
本发明的又一方面提供了根据上述的记录在计算机可读介质中的计算机程序。Still another aspect of the present invention provides a computer program recorded in a computer readable medium according to the above.
本发明的又一方面提供了一种DC电网电流差动保护系统,包括以下模块:Another aspect of the present invention provides a DC grid current differential protection system, including the following modules:
采样值获得模块:获得DC线路的本地终端和远程终端中的极电压采样值和极电流采样值;Sampled value obtaining module: obtain the pole voltage sampling value and pole current sampling value in the local terminal and the remote terminal of the DC line;
故障分量提取模块:根据本地终端和远程终端的极电压采样值分别计算故障分量极电压值;以及根据本地终端和远程终端的极电流值分别计算故障分量极电流值;Fault component extraction module: respectively calculate the pole voltage value of the fault component according to the pole voltage sampling values of the local terminal and the remote terminal; and calculate the pole current value of the fault component respectively according to the pole current value of the local terminal and the remote terminal;
贝杰龙模型计算模块:通过基于贝杰龙模型,计算在故障分量提取步骤中所计算的本地终端和远程终端的故障分量极电压值和故障分量极电流值,获得本地终端和远程终端之间的DC线路上的选定点处的故障分量极电流值;Bergeron model calculation module: by calculating the fault component pole voltage value and fault component pole current value of the local terminal and the remote terminal calculated in the fault component extraction step based on the Bergeron model, the distance between the local terminal and the remote terminal is obtained. The pole current value of the fault component at a selected point on the DC line of ;
电流差动保护判定模块:如果在贝杰龙模型计算模块中获得的本地终端和远程终端的选定点处的故障分量极电流值满足预设电流差动保护判据,则判定内部故障。Current differential protection judging module: If the fault component pole current values at the selected points of the local terminal and the remote terminal obtained in the Bergeron model calculation module meet the preset current differential protection criterion, then judge the internal fault.
优选地,DC电网是双极的并且DC线路包括正极DC线路和负极DC线路,本地终端包括正极本地终端和负极本地终端,远程终端包括正极远程终端和负极远程终端,正极DC线路电连接正极本地终端和正极远程终端,负极DC线路电连接负极本地终端和负极远程终端,从选定点到正极本地终端的距离和从选定点到负极本地终端的距离相同,从选定点到正极远程终端的距离和从选定点到负极远程终端的距离相同,还包括:Preferably, the DC grid is bipolar and the DC line includes a positive DC line and a negative DC line, the local terminal includes a positive local terminal and a negative local terminal, the remote terminal includes a positive remote terminal and a negative remote terminal, the positive DC line is electrically connected to the positive local terminal and positive remote terminal, the negative DC line electrically connects the negative local terminal and the negative remote terminal, the distance from the selected point to the positive local terminal is the same as the distance from the selected point to the negative local terminal, and from the selected point to the positive remote terminal The distance is the same as the distance from the selected point to the negative remote terminal, plus:
极模变换模块:通过对正极本地终端、正极远程终端、负极本地终端和负极远程终端中的每个的所述故障分量极电压值进行极模变换,获得本地终端和远程终端中的每一模量的故障分量模电压值;以及通过对正极本地终端、正极远程终端、负极本地终端和负极远程终端中的每个的所述故障分量极电流值进行极模变换,获得本地终端和远程终端的每一模量的故障分量模电流值;Pole mode conversion module: by performing pole mode conversion on the fault component pole voltage value of each of the positive local terminal, the positive remote terminal, the negative local terminal and the negative remote terminal, each mode of the local terminal and the remote terminal is obtained. and by performing a pole-mode transformation on said fault component pole current value of each of the positive local terminal, the positive remote terminal, the negative local terminal, and the negative remote terminal, the values of the local terminal and the remote terminal are obtained The fault component modulus current value of each modulus;
贝杰龙模型计算模块还包括:The Bergeron model calculation module also includes:
通过基于贝杰龙模型,计算本地终端和远程终端的每一模量的故障分量模电压值和故障分量模电流值,分别获得本地终端和远程终端的每一模量的故障分量模行波电压值;By calculating the fault component mode voltage value and fault component mode current value of each modulus of the local terminal and the remote terminal based on the Bergeron model, the fault component mode traveling wave voltage of each modulus of the local terminal and the remote terminal is obtained respectively value;
分别将本地终端和远程终端的故障分量模行波电压值转换成本地终端和远程终端的故障分量模行波电流值;Converting the fault component mode traveling wave voltage values of the local terminal and the remote terminal into fault component mode traveling wave current values of the local terminal and the remote terminal respectively;
分别根据本地终端和远程终端的故障分量模行波电流值确定DC线路上的选定点处的本地终端和远程终端的故障分量模电流值;determining fault component mode current values for the local terminal and the remote terminal at selected points on the DC line based on the fault component mode traveling wave current values for the local terminal and the remote terminal, respectively;
通过对在选定点处的本地终端的每一模量的故障分量模电流值进行模极变换,获得在DC线路上的选定点处的正极本地终端和负极本地终端中的每个的故障分量极电流值,以及通过对在选定点处的远程终端的每一模量的故障分量模电流值进行模极变换,获得在选定点处的正极远程终端和负极远程终端的故障分量极电流值。The fault of each of the positive local terminal and the negative local terminal at a selected point on the DC line is obtained by modulo-polar transformation of the fault component modulo current value of each modulus of the local terminal at the selected point Component pole current values, and by performing modulo-pole transformation on the fault component modulo current value of each modulus of the remote terminal at the selected point, the fault component poles of the positive remote terminal and the negative remote terminal at the selected point are obtained current value.
方便地,极电压采样值包括:uLP(t),即正极本地终端的电压采样值;uLN(t),即负极本地终端的电压采样值;uRP(t),即正极远程终端的电压采样值;uRN(t),即负极远程终端的电压采样值;其中t指的是时间;Conveniently, the pole voltage sampling values include: u LP (t), that is, the voltage sampling value of the positive local terminal; u LN (t), that is, the voltage sampling value of the negative local terminal; u RP (t), that is, the voltage sampling value of the positive remote terminal Voltage sampling value; u RN (t), that is, the voltage sampling value of the negative remote terminal; wherein t refers to time;
极电流采样值包括:iLP(t),即正极本地终端的电流采样值;iLN(t),即负极本地终端的电流采样值;iRP(t),即正极远程终端的电流采样值;iRN(t),即负极远程终端的电流采样值;Pole current sampling values include: i LP (t), the current sampling value of the positive local terminal; i LN (t), the current sampling value of the negative local terminal; i RP (t), the current sampling value of the positive remote terminal ; i RN (t), the current sampling value of the negative remote terminal;
故障分量极电压值包括:ΔuLP(t),即和uLP(t)相对应的正极本地终端的故障分量电压值;ΔuLN(t),即和uLN(t)相对应的负极本地终端的故障分量电压值;ΔuRP(t),即和uRP(t)相对应的正极远程终端的故障分量电压值;ΔuRN(t),即和uRN(t)相对应的负极远程终端的故障分量电压值;The fault component pole voltage value includes: Δu LP (t), that is, the fault component voltage value of the positive local terminal corresponding to u LP (t); Δu LN (t), that is, the negative local terminal corresponding to u LN (t). The fault component voltage value of the terminal; Δu RP (t), that is, the fault component voltage value of the positive remote terminal corresponding to u RP (t); Δu RN (t), that is, the negative remote terminal corresponding to u RN (t) Terminal fault component voltage value;
故障分量极电流值包括:ΔiLP(t),即和iLP(t)相对应的正极本地终端的故障分量电流值;ΔiLN(t),即和iLN(t)相对应的负极本地终端的故障分量电流值;ΔiRP(t),即和iRP(t)相对应的正极远程终端的故障分量电流值;ΔiRN(t),即和iRN(t)相对应的负极远程终端的故障分量电流值;The fault component pole current value includes: Δi LP (t), that is, the fault component current value of the positive local terminal corresponding to i LP (t); Δi LN (t), that is, the negative local terminal corresponding to i LN (t). The fault component current value of the terminal; Δi RP (t), that is, the fault component current value of the positive remote terminal corresponding to i RP (t); Δi RN (t), that is, the negative remote terminal corresponding to i RN (t) Terminal fault component current value;
故障分量模电压值包括:ΔuL0(t),即本地终端的故障分量共模电压值;ΔuL1(t),即本地终端的故障分量差模电压值;ΔuR0(t),即远程终端的故障分量共模电压值;ΔuR1(t),即远程终端的故障分量差模电压值;The fault component mode voltage value includes: Δu L0 (t), which is the common mode voltage value of the fault component of the local terminal; Δu L1 (t), which is the differential mode voltage value of the fault component of the local terminal; Δu R0 (t), which is the remote terminal The common-mode voltage value of the fault component of ; Δu R1 (t), that is, the differential-mode voltage value of the fault component of the remote terminal;
故障分量模电流值包括:ΔiL0(t),即本地终端的故障分量共模电流值;ΔiL1(t),即本地终端的故障分量差模电流值;ΔiR0(t),即远程终端的故障分量共模电流值;ΔiR1(t),即远程终端的故障分量差模电流值;The fault component mode current value includes: Δi L0 (t), which is the fault component common mode current value of the local terminal; Δi L1 (t), which is the fault component differential mode current value of the local terminal; Δi R0 (t), which is the remote terminal Δi R1 (t), that is, the differential mode current value of the fault component of the remote terminal;
故障分量行波电压值包括:ΔuL0+(t),即本地终端的故障分量共模正向行波电压值;ΔuL0-(t),即本地终端的故障分量共模反向行波电压值;ΔuL1+(t),即本地终端的故障分量差模正向行波电压值;ΔuL0-(t),即本地终端的故障分量差模反向行波电压值;ΔuR0+(t),即远程终端的故障分量共模正向行波电压值;ΔuR0-(t),即远程终端的故障分量共模反向行波电压值;ΔuR1+(t),即远程终端的故障分量差模正向行波电压值;ΔuR1-(t),即远程终端的故障分量差模反向行波电压值;The fault component traveling wave voltage value includes: Δu L0+ (t), which is the common mode forward traveling wave voltage value of the fault component of the local terminal; Δu L0- (t), which is the common mode reverse traveling wave voltage value of the fault component of the local terminal ; Δu L1+ (t), that is, the fault component differential mode forward traveling wave voltage value of the local terminal; Δu L0- (t), that is, the fault component differential mode reverse traveling wave voltage value of the local terminal; Δu R0+ (t), That is, the common-mode forward traveling wave voltage value of the fault component of the remote terminal; Δu R0- (t), that is, the common-mode reverse traveling wave voltage value of the fault component of the remote terminal; Δu R1+ (t), that is, the fault component difference of the remote terminal Δu R1- (t), that is, the fault component differential mode reverse traveling wave voltage value of the remote terminal;
故障分量行波电流值包括:ΔiL0+(t),即本地终端的故障分量共模正向行波电流值;ΔiL0-(t),即本地终端的故障分量共模反向行波电流值;ΔiL1+(t),即本地终端的故障分量差模正向行波电流值;ΔiL1-(t),即本地终端的故障分量差模反向行波电流值;ΔiR0+(t),即远程终端的故障分量共模正向行波电流值;ΔiR0-(t),即远程终端的故障分量共模反向行波电流值;ΔiR1+(t),即远程终端的故障分量差模正向行波电流值;ΔiR1-(t),即远程终端的故障分量差模反向行波电流值;The fault component traveling wave current value includes: Δi L0+ (t), which is the common mode forward traveling wave current value of the fault component of the local terminal; Δi L0- (t), which is the common mode reverse traveling wave current value of the fault component of the local terminal ; Δi L1+ (t), that is, the differential mode forward traveling wave current value of the fault component of the local terminal; Δi L1- (t), that is, the reverse traveling wave current value of the fault component differential mode of the local terminal; Δi R0+ (t), That is, the common-mode forward traveling wave current value of the fault component of the remote terminal; Δi R0- (t), that is, the common-mode reverse traveling wave current value of the fault component of the remote terminal; Δi R1+ (t), that is, the fault component difference of the remote terminal Δi R1- (t), that is, the fault component differential mode reverse traveling wave current value of the remote terminal;
在选定点处的故障分量模电流值包括:ΔiL0(x,t),即本地终端的选定点处的故障分量共模电流值;ΔiL1(x,t),即本地终端的选定点处的故障分量差模电流值;ΔiR0(x,t),即远程终端的选定点处的故障分量共模电流值;ΔiR1(x,t),即远程终端的选定点处的故障分量差模电流值,其中x是选定点;The fault component mode current value at the selected point includes: Δi L0 (x, t), which is the fault component common mode current value at the selected point of the local terminal; Δi L1 (x, t), which is the selected point of the local terminal The fault component differential mode current value at the fixed point; Δi R0 (x, t), which is the fault component common mode current value at the selected point of the remote terminal; Δi R1 (x, t), which is the selected point of the remote terminal The fault component differential mode current value at , where x is the selected point;
选定点处的故障分量极电流值包括:ΔiLP(x,t),即正极本地终端的选定点处的故障分量极电流值;ΔiLN(x,t),即负极本地终端的选定点处的故障分量极电流值;ΔiRP(x,t),即正极远程终端的选定点处的故障分量极电流值;ΔiRN(x,t),即负极远程终端的选定点处的故障分量极电流值。The fault component pole current value at the selected point includes: Δi LP (x, t), which is the fault component pole current value at the selected point of the positive local terminal; Δi LN (x, t), which is the selected point of the negative local terminal The fault component pole current value at the fixed point; Δi RP (x, t), which is the fault component pole current value at the selected point of the positive remote terminal; Δi RN (x, t), which is the selected point of the negative remote terminal The fault component pole current value at .
方便地,在故障分量提取模块中,采用以下方式计算故障分量极电压值和故障分量极电压值:Conveniently, in the fault component extraction module, the fault component pole voltage value and the fault component pole voltage value are calculated in the following manner:
其中,T表示预设时间延迟;Wherein, T represents the preset time delay;
在极模变换模块中,采用以下方式计算故障分量模电压值和故障分量模电流值:In the pole mode conversion module, the fault component mode voltage value and the fault component mode current value are calculated in the following way:
在贝杰龙模型计算模块中包括:In the Bergeron model calculation module includes:
采用以下方式计算故障分量模行波电压值:The following method is used to calculate the fault component mode traveling wave voltage value:
其中ZC0是共模波阻抗;ZC1是差模波阻抗;Among them, Z C0 is the common-mode wave impedance; Z C1 is the differential-mode wave impedance;
采用以下方式计算故障分量模行波电流值:Calculate the fault component mode traveling wave current value in the following way:
采用以下方式计算在选定点处的故障分量模电流值:Calculate the fault component modulo current value at the selected point in the following way:
其中,v0是故障分量共模行波的行进速度,v1是故障分量差模行波的行进速度;Among them, v 0 is the traveling speed of the common-mode traveling wave of the fault component, and v 1 is the traveling speed of the differential-mode traveling wave of the fault component;
采用以下方式计算在选定点处的故障分量极电流值:Calculate the fault component pole current value at the selected point in the following way:
方便地,电流差动保护判定模块包括:Conveniently, the current differential protection judging module includes:
如果满足|ΔiLP(x,t)+ΔiRP(x,t)|>Ires,则判定状态为正极内部故障,如果满足|ΔiLN(x,t)+ΔiRN(x,t)|>Ires,则判定状态为负极内部故障,其中,Ires表示预设阈值;If |Δi LP (x, t)+Δi RP (x, t)|>I res is satisfied, the state is determined to be positive internal fault, if |Δi LN (x, t)+Δi RN (x, t)| >I res , then the status is determined as a negative internal fault, where I res represents the preset threshold;
否则,将不激活差动保护。Otherwise, the differential protection will not be activated.
优选地,DC电网是单极的:Preferably, the DC grid is unipolar:
贝杰龙模型计算模块还包括:The Bergeron model calculation module also includes:
通过基于贝杰龙模型,计算本地终端和远程终端的故障分量极电压值和故障分量模电流值,分别获得本地终端和远程终端的故障分量极行波电压值;Based on the Bergeron model, calculate the polar voltage value of the fault component and the mode current value of the fault component of the local terminal and the remote terminal, and obtain the polar traveling wave voltage value of the fault component of the local terminal and the remote terminal respectively;
分别将本地终端和远程终端的故障分量极行波电压值转换成本地终端和远程终端的故障分量模行波电流值;Converting the fault component polar traveling wave voltage values of the local terminal and the remote terminal into the fault component modulus traveling wave current values of the local terminal and the remote terminal;
根据本地终端和远程终端的故障分量极行波电流值确定DC线路上的选定点处的本地终端和远程终端的故障分量极电流值。The fault component pole current values of the local terminal and the remote terminal at selected points on the DC line are determined from the fault component pole traveling wave current values of the local terminal and the remote terminal.
方便地,在故障分量提取模块中,采用以下方式计算故障分量极电压值和故障分量极电压值:Conveniently, in the fault component extraction module, the fault component pole voltage value and the fault component pole voltage value are calculated in the following manner:
其中T表示预设时间延迟,ΔiL(t)是本地终端的故障分量极电流值,ΔiR(t)是远程终端的故障分量极电流值,ΔuL(t)是本地终端的故障分量极电压值,ΔuR(t)是远程终端的故障分量极电压值,iL(t)是本地终端的电流采样值,iR(t)是远程终端的电流采样值,uL(t)是本地终端的电压采样值,uR(t)是远程终端的电压采样值,并且t指的是时间;Where T represents the preset time delay, Δi L (t) is the current value of the fault component pole of the local terminal, Δi R (t) is the current value of the fault component pole of the remote terminal, Δu L (t) is the fault component pole current value of the local terminal Voltage value, Δu R (t) is the fault component pole voltage value of the remote terminal, i L (t) is the current sampling value of the local terminal, i R (t) is the current sampling value of the remote terminal, u L (t) is The voltage sampling value of the local terminal, u R (t) is the voltage sampling value of the remote terminal, and t refers to time;
在贝杰龙模型计算模块中包括:In the Bergeron model calculation module includes:
采用以下方式计算故障分量极行波电压值:The following method is used to calculate the fault component polar traveling wave voltage value:
其中,ZC是波阻抗,ΔuL+(t)是本地终端的故障分量极正向行波电压值;ΔuL-(t)是本地终端的故障分量极反向行波电压值;ΔuR+(t)是远程终端的故障分量极正向行波电压值;ΔuR-(t)是远程终端的故障分量极反向行波电压值;Among them, Z C is the wave impedance, Δu L+ (t) is the positive traveling wave voltage value of the fault component of the local terminal; Δu L- (t) is the reverse traveling wave voltage value of the fault component of the local terminal; Δu R+ ( t) is the polar forward traveling wave voltage value of the fault component of the remote terminal; Δu R- (t) is the reverse traveling wave voltage value of the fault component polarity of the remote terminal;
采用以下方式计算故障分量极行波电流值:Calculate the pole traveling wave current value of the fault component in the following way:
其中,ΔiL+(t)是本地终端的故障分量极正向行波电流值;ΔiL-(t)是本地终端的故障分量极反向行波电流值;ΔiR+(t)是远程终端的故障分量极正向行波电流值;ΔiR-(t)是远程终端的故障分量极反向行波电流值;Among them, Δi L+ (t) is the polar forward traveling wave current value of the fault component of the local terminal; Δi L- (t) is the polar reverse traveling wave current value of the fault component of the local terminal; Δi R+ (t) is the value of the remote terminal Pole forward traveling wave current value of the fault component; Δi R- (t) is the reverse traveling wave current value of the fault component pole of the remote terminal;
采用以下方式计算选定位置处的故障分量极电流值:Calculate the fault component pole current value at the selected location as follows:
其中ΔiL(x,t)是本地终端的选定点处的故障分量极电流值;ΔiR(x,t)是远程终端的选定点处的故障分量极电流值,v是故障分量行波的行进速度。where Δi L (x, t) is the pole current value of the fault component at the selected point of the local terminal; Δi R (x, t) is the pole current value of the fault component at the selected point of the remote terminal, and v is the fault component row The speed at which the wave travels.
方便地,在电流差动保护判定模块中包括:Conveniently, the current differential protection judging module includes:
如果满足|ΔiL(x,t)+ΔiR(x,t)|>Ires,则判定状态为内部故障,其中Ires是预设阈值。If |Δi L (x, t)+Δi R (x, t)|>I res is satisfied, the state is determined to be an internal fault, where I res is a preset threshold.
方便地,电流差动保护判定模块还包括:Conveniently, the current differential protection judging module further includes:
如果状态被判定成内部故障,则发送故障保护命令以激活差动保护,否则将不激活差动保护。If the state is judged to be an internal fault, a failsafe command is sent to activate the differential protection, otherwise the differential protection will not be activated.
贝杰龙模型基于分布参数和电报方程(波动方程)。因此,本发明采用贝杰龙模型,因此不需要长的时间延长来消除分布的充电电流的干扰,从而大大提高了本发明的计算速度。The Bergeron model is based on distribution parameters and the telegraph equation (wave equation). Therefore, the present invention adopts the Bergeron model, so no long time extension is required to eliminate the disturbance of the distributed charging current, thereby greatly improving the calculation speed of the present invention.
同时,本发明使用故障分量来除去负载电流对差动保护的影响,从而提高了灵敏度。At the same time, the invention uses the fault component to remove the influence of the load current on the differential protection, thereby improving the sensitivity.
附图说明Description of drawings
图1示出了LCC DC电网中的内部和外部DC故障的行波前的图表;Figure 1 shows a graph of traveling wave fronts for internal and external DC faults in an LCC DC grid;
图2示出了传统的行波保护装置的测量示意图;Fig. 2 shows the measurement schematic diagram of traditional traveling wave protection device;
图3示出了说明根据本发明的DC电网电流差动保护方法的流程图;FIG. 3 shows a flowchart illustrating a method for DC grid current differential protection according to the present invention;
图4示意性地示出了故障分量分布电网;Fig. 4 schematically shows fault component distribution grid;
图5示出了当线路中发生内部故障时的状态;Figure 5 shows the state when an internal fault occurs in the line;
图6示出了当线路中发生外部故障时的状态;Figure 6 shows the state when an external fault occurs in the line;
图7示出了模拟模型;Figure 7 shows the simulation model;
图8示出了模拟结果;Figure 8 shows the simulation results;
图9示出了DC电网电流差动保护系统的结构模块图;Fig. 9 shows a structural block diagram of a DC grid current differential protection system;
图10示出了单极HVDC系统。Figure 10 shows a unipolar HVDC system.
具体实施方式Detailed ways
下文中,结合附图,通过特定的实施例更详细介绍本发明。Hereinafter, the present invention will be described in more detail through specific embodiments in conjunction with the accompanying drawings.
图3示出了说明根据本发明的DC电网电流差动保护方法的流程图,方法包括以下步骤:FIG. 3 shows a flowchart illustrating a method for DC grid current differential protection according to the present invention, the method includes the following steps:
步骤S301:获得DC线路的本地终端和远程终端中的极电压采样值和极电流采样值;Step S301: Obtain the pole voltage sampling value and pole current sampling value in the local terminal and the remote terminal of the DC line;
步骤S302:分别根据本地终端和远程终端的极电压采样值计算故障分量极电压值;以及分别根据本地终端和远程终端的极电流采样值计算故障分量极电流值;Step S302: Calculate the pole voltage value of the fault component according to the pole voltage sampling values of the local terminal and the remote terminal respectively; and calculate the pole current value of the fault component according to the pole current sampling values of the local terminal and the remote terminal respectively;
步骤S303:通过基于贝杰龙模型(Bergeron model),计算步骤S302中计算的本地终端和远程终端的故障分量极电压值和故障分量极电流值,获得本地终端和远程终端之间的DC线路上选定点的故障分量极电流值;Step S303: Based on the Bergeron model (Bergeron model), by calculating the fault component pole voltage value and the fault component pole current value of the local terminal and the remote terminal calculated in step S302, obtain the DC line between the local terminal and the remote terminal Pole current value of the fault component at the selected point;
步骤S304:如果步骤S303中获得的本地终端和远程终端的选定点处的故障分量极电流值满足预设电流差动保护判据,则判定内部故障。Step S304: If the pole current values of the fault component at the selected points of the local terminal and the remote terminal obtained in step S303 satisfy the preset current differential protection criterion, then determine an internal fault.
贝杰龙模型基于分布参数和电报方程(波动方程)。因此理论上该方法需要固有地且精确地考虑故障瞬态期间分布的充电电流。The Bergeron model is based on distribution parameters and the telegraph equation (wave equation). The method therefore needs to inherently and accurately account for the charging current distributed during fault transients in theory.
因此,本发明采用贝杰龙模型,这样就不需要长的时间延长来消除分布的充电电流的干扰,从而大大提高本发明中的计算速度。Therefore, the present invention adopts the Bergeron model, which does not require a long time extension to eliminate the disturbance of the distributed charging current, thereby greatly improving the calculation speed in the present invention.
同时,在步骤S302中,极电压采样值被转换成故障分量极电压值,极电流采样值被转换成故障分量极电流值。因此,在这个步骤中,故障分量极电压值从极电压采样值中分离,故障分量极电流值从极电流采样值中分离。在这种情况下,当电网中发生故障时,电网可能被分割成无故障网络和故障分量网络,这样故障分量极电压值和故障分量极电流值是故障分量网络中的极电压/电流值。在随后的步骤S303和S304中,对故障分量极电压值和故障分量极电流值进行极模变换并应用于贝杰龙模型。也就是说,本发明提供了基于故障分量的电流差动保护。因此,本发明使用故障分量来除去负载电流对差动保护的影响,从而提高灵敏度。At the same time, in step S302, the pole voltage sampled value is converted into a fault component pole voltage value, and the pole current sampled value is converted into a fault component pole current value. Therefore, in this step, the fault component pole voltage value is separated from the pole voltage sampled value, and the fault component pole current value is separated from the pole current sampled value. In this case, when a fault occurs in the grid, the grid may be divided into a fault-free network and a fault component network, so that the fault component pole voltage value and the fault component pole current value are the pole voltage/current values in the fault component network. In subsequent steps S303 and S304 , pole-mode transformation is performed on the pole voltage value of the fault component and the pole current value of the fault component and applied to the Bergeron model. That is, the present invention provides current differential protection based on fault components. Therefore, the present invention uses the fault component to remove the influence of the load current on the differential protection, thereby increasing the sensitivity.
在本发明的优选的实施例中,特别地,DC电网是双极的,并且DC线路包括正极DC线路和负极DC线路,本地终端包括正极本地终端和负极本地终端,远程终端包括正极远程终端和负极远程终端,正极DC线路电连接正极本地终端和正极远程终端,而负极DC线路电连接负极本地终端和负极远程终端,从选定点到正极本地终端的距离和从选定点到负极本地终端的距离相同,从选定点到正极远程终端的距离和从选定点到负极远程终端的距离相同,还包括:In a preferred embodiment of the invention, in particular, the DC grid is bipolar, and the DC line includes a positive DC line and a negative DC line, the local terminals include a positive local terminal and a negative local terminal, and the remote terminals include a positive remote terminal and The negative remote terminal, the positive DC line electrically connects the positive local terminal and the positive remote terminal, and the negative DC line electrically connects the negative local terminal and the negative remote terminal, the distance from the selected point to the positive local terminal and the distance from the selected point to the negative local terminal The distance from the selected point to the positive remote terminal is the same as the distance from the selected point to the negative remote terminal, including:
极模变换步骤:通过对正极本地终端、正极远程终端、负极本地终端和负极远程终端中的每个的所述故障分量极电压值进行极模变换,获得本地终端和远程终端中的每一模量的故障分量模电压值,以及通过对正极本地终端、正极远程终端、负极本地终端和负极远程终端中的每个的所述故障分量极电流值进行极模变换,获得本地终端和远程终端的每一模量的故障分量模电流值;Pole mode conversion step: by performing pole mode conversion on the fault component pole voltage value of each of the positive local terminal, the positive remote terminal, the negative local terminal and the negative remote terminal, each mode of the local terminal and the remote terminal is obtained. The fault component modulo voltage value of the quantity, and by performing pole mode transformation on the fault component pole current value of each of the positive local terminal, the positive remote terminal, the negative local terminal and the negative remote terminal, the local terminal and the remote terminal are obtained The fault component modulus current value of each modulus;
步骤S303还包括:Step S303 also includes:
通过基于贝杰龙模型,计算本地终端和远程终端的每一模量的故障分量模电压值和故障分量模电流值,分别获得本地终端和远程终端的每一模量的故障分量模行波电压值;By calculating the fault component mode voltage value and fault component mode current value of each modulus of the local terminal and the remote terminal based on the Bergeron model, the fault component mode traveling wave voltage of each modulus of the local terminal and the remote terminal is obtained respectively value;
分别将本地终端和远程终端的故障分量模行波电压值转换成本地终端和远程终端的故障分量模行波电流值;Converting the fault component mode traveling wave voltage values of the local terminal and the remote terminal into fault component mode traveling wave current values of the local terminal and the remote terminal respectively;
分别根据本地终端和远程终端的故障分量模行波电流值确定DC线路上的选定点处的本地终端和远程终端的故障分量模电流值;determining fault component mode current values for the local terminal and the remote terminal at selected points on the DC line based on the fault component mode traveling wave current values for the local terminal and the remote terminal, respectively;
通过对选定点处的本地终端的每一模量的故障分量模电流值进行模极变换,获得DC线路上的选定点处的正极本地终端和负极本地终端中的每个的故障分量极电流值,通过对选定点处的远程终端的每一模量的故障分量模电流值进行模极变换,获得选定点处的正极远程终端和负极远程终端的故障分量极电流值。The fault component polarity of each of the positive local terminal and the negative local terminal at a selected point on the DC line is obtained by modulo-polar transformation of the fault component modulo current value of each modulus of the local terminal at the selected point The current value, by performing modulo-polar transformation on the fault component modulo current value of each modulus of the remote terminal at the selected point, obtains the fault component pole current value of the positive remote terminal and the negative remote terminal at the selected point.
这个实施例将进行模极变换的故障分量模电压和故障分量模电流应用到贝杰龙模型,从而特别地实现了基于双极DC电网的故障分量的贝杰龙模型。This embodiment applies the fault component modulo voltage and fault component modulo current subjected to modulo-polar transformation to the Bergeron model, thereby specifically realizing the Bergeron model based on the fault component of the bipolar DC grid.
在一个实施例中:In one embodiment:
极电压采样值包括:uLP(t),即正极本地终端的电压采样值;uLN(t),即负极本地终端的电压采样值;uRP(t),即正极远程终端的电压采样值;uRN(t),即负极远程终端的电压采样值;其中t指的是时间;Pole voltage sampling values include: u LP (t), namely the voltage sampling value of the positive local terminal; u LN (t), namely the voltage sampling value of the negative local terminal; u RP (t), namely the voltage sampling value of the positive remote terminal ; u RN (t), the voltage sampling value of the negative remote terminal; where t refers to the time;
极电流采样值包括:iLP(t),即正极本地终端的电流采样值;iLN(t),即负极本地终端的电流采样值;iRP(t),即正极远程终端的电流采样值;iRN(t),即负极远程终端的电流采样值;Pole current sampling values include: i LP (t), the current sampling value of the positive local terminal; i LN (t), the current sampling value of the negative local terminal; i RP (t), the current sampling value of the positive remote terminal ; i RN (t), the current sampling value of the negative remote terminal;
故障分量极电压值包括:ΔuLP(t),即和uLP(t)对应的正极本地终端的故障分量电压值;ΔuLN(t),即和uLN(t)对应的负极本地终端的故障分量电压值;ΔuRP(t),即和uRP(t)对应的正极远程终端的故障分量电压值;ΔuRN(t),即和uRN(t)对应的负极远程终端的故障分量电压值;The fault component pole voltage value includes: Δu LP (t), that is, the fault component voltage value of the positive local terminal corresponding to u LP (t); Δu LN (t), that is, the fault component voltage value of the negative local terminal corresponding to u LN (t). Fault component voltage value; Δu RP (t), that is, the fault component voltage value of the positive remote terminal corresponding to u RP (t); Δu RN (t), that is, the fault component of the negative remote terminal corresponding to u RN (t) Voltage value;
故障分量极电流值包括:ΔiLP(t),即和iLP(t)对应的正极本地终端的故障分量电流值;ΔiLN(t),即和iLN(t)对应的负极本地终端的故障分量电流值;ΔiRP(t),即和iRP(t)对应的正极远程终端的故障分量电流值;ΔiRN(t),即和iRN(t)对应的负极远程终端的故障分量电流值;The fault component pole current value includes: Δi LP (t), that is, the fault component current value of the positive local terminal corresponding to i LP (t); Δi LN (t), that is, the fault component current value of the negative local terminal corresponding to i LN (t). Fault component current value; Δi RP (t), that is, the fault component current value of the positive remote terminal corresponding to i RP (t); Δi RN (t), that is, the fault component of the negative remote terminal corresponding to i RN (t) current value;
故障分量模电压值包括:ΔuL0(t),即本地终端的故障分量共模电压值;ΔuL1(t),即本地终端的故障分量差模电压值;ΔuR0(t),即远程终端的故障分量共模电压值;ΔuR1(t),即远程终端的故障分量差模电压值;The fault component mode voltage value includes: Δu L0 (t), which is the common mode voltage value of the fault component of the local terminal; Δu L1 (t), which is the differential mode voltage value of the fault component of the local terminal; Δu R0 (t), which is the remote terminal The common-mode voltage value of the fault component of ; Δu R1 (t), that is, the differential-mode voltage value of the fault component of the remote terminal;
故障分量模电流值包括:ΔiL0(t),即本地终端的故障分量共模电流值;ΔiL1(t),即本地终端的故障分量差模电流值;ΔiR0(t),即远程终端的故障分量共模电流值;ΔiR1(t),即远程终端的故障分量差模电流值;The fault component mode current value includes: Δi L0 (t), which is the fault component common mode current value of the local terminal; Δi L1 (t), which is the fault component differential mode current value of the local terminal; Δi R0 (t), which is the remote terminal Δi R1 (t), that is, the differential mode current value of the fault component of the remote terminal;
故障分量行波电压值包括:ΔuL0+(t),即本地终端的故障分量共模正向行波电压值;ΔuL0-(t),即本地终端的故障分量共模反向行波电压值;ΔuL1+(t),即本地终端的故障分量差模正向行波电压值;ΔuL0-(t),即本地终端的故障分量差模反向行波电压值;ΔuR0+(t),即远程终端的故障分量共模正向行波电压值;ΔuR0-(t),即远程终端的故障分量共模反向行波电压值;ΔuR1+(t),即远程终端的故障分量差模正向行波电压值;ΔuR1-(t),即远程终端的故障分量差模反向行波电压值;The fault component traveling wave voltage value includes: Δu L0+ (t), which is the common mode forward traveling wave voltage value of the fault component of the local terminal; Δu L0- (t), which is the common mode reverse traveling wave voltage value of the fault component of the local terminal ; Δu L1+ (t), that is, the fault component differential mode forward traveling wave voltage value of the local terminal; Δu L0- (t), that is, the fault component differential mode reverse traveling wave voltage value of the local terminal; Δu R0+ (t), That is, the common-mode forward traveling wave voltage value of the fault component of the remote terminal; Δu R0- (t), that is, the common-mode reverse traveling wave voltage value of the fault component of the remote terminal; Δu R1+ (t), that is, the fault component difference of the remote terminal Δu R1- (t), that is, the fault component differential mode reverse traveling wave voltage value of the remote terminal;
故障分量行波电流值包括:ΔiL0+(t),即本地终端的故障分量共模正向行波电流值;ΔiL0-(t),即本地终端的故障分量共模反向行波电流值;ΔiL1+(t),即本地终端的故障分量差模正向行波电流值;ΔiL1-(t),即本地终端的故障分量差模反向行波电流值;ΔiR0+(t),即远程终端的故障分量共模正向行波电流值;ΔiR0-(t),即远程终端的故障分量共模反向行波电流值;ΔiR1+(t),即远程终端的故障分量差模正向行波电流值;ΔiR1-(t),即远程终端的故障分量差模反向行波电流值;The fault component traveling wave current value includes: Δi L0+ (t), which is the common mode forward traveling wave current value of the fault component of the local terminal; Δi L0- (t), which is the common mode reverse traveling wave current value of the fault component of the local terminal ; Δi L1+ (t), that is, the differential mode forward traveling wave current value of the fault component of the local terminal; Δi L1- (t), that is, the reverse traveling wave current value of the fault component differential mode of the local terminal; Δi R0+ (t), That is, the common-mode forward traveling wave current value of the fault component of the remote terminal; Δi R0- (t), that is, the common-mode reverse traveling wave current value of the fault component of the remote terminal; Δi R1+ (t), that is, the fault component difference of the remote terminal Δi R1- (t), that is, the fault component differential mode reverse traveling wave current value of the remote terminal;
选定点处的故障分量模电流值包括:ΔiL0(x,t),即本地终端的选定点处的故障分量共模电流值;ΔiL1(x,t),即本地终端的选定点处的故障分量差模电流值;ΔiR0(x,t),即远程终端的选定点处的故障分量共模电流值;ΔiR1(x,t),即远程终端的选定点处的故障分量差模电流值;The fault component mode current value at the selected point includes: Δi L0 (x, t), which is the fault component common mode current value at the selected point of the local terminal; Δi L1 (x, t), which is the selected Δi R0 (x, t), that is, the fault component common-mode current value at the selected point of the remote terminal; Δi R1 (x, t), that is, the selected point of the remote terminal The differential mode current value of the fault component;
选定点处的故障分量极电流值包括:ΔiLP(x,t),即正极本地终端的选定点处的故障分量极电流值;ΔiLN(x,t),即负极本地终端的选定点处的故障分量极电流值;ΔiRP(x,t),即正极远程终端的选定点处的故障分量极电流值;ΔiRN(x,t),即负极远程终端的选定点处的故障分量极电流值。The fault component pole current value at the selected point includes: Δi LP (x, t), which is the fault component pole current value at the selected point of the positive local terminal; Δi LN (x, t), which is the selected point of the negative local terminal The fault component pole current value at the fixed point; Δi RP (x, t), which is the fault component pole current value at the selected point of the positive remote terminal; Δi RN (x, t), which is the selected point of the negative remote terminal The fault component pole current value at .
这个实施例分别针对正极和负极计算,从而实现了分别针对两个极的差动保护。This embodiment is calculated separately for the positive pole and the negative pole, thereby realizing the differential protection for the two poles respectively.
在一个实施例中:In one embodiment:
在步骤S302中,采用以下方式计算故障分量极电压值和故障分量极电压值:In step S302, the pole voltage value of the fault component and the pole voltage value of the fault component are calculated in the following manner:
其中,T表示时间延迟;Among them, T represents the time delay;
在极模变换步骤中,采用以下方式计算故障分量模电压值和故障分量模电流值:In the pole mode conversion step, the fault component mode voltage value and the fault component mode current value are calculated in the following manner:
在步骤S303中包括:In step S303 include:
采用以下方式计算故障分量模行波电压值:The following method is used to calculate the fault component mode traveling wave voltage value:
其中,ZC0是共模波阻抗;ZC1是差模波阻抗;Among them, Z C0 is the common-mode wave impedance; Z C1 is the differential-mode wave impedance;
采用以下方式计算故障分量模行波电流值:Calculate the fault component mode traveling wave current value in the following way:
采用以下方式计算在选定点处的故障分量模电流值:Calculate the fault component modulo current value at the selected point in the following way:
其中,v0是故障分量共模行波的行进速度,v1是故障分量差模行波的行进速度;Among them, v 0 is the traveling speed of the common-mode traveling wave of the fault component, and v 1 is the traveling speed of the differential-mode traveling wave of the fault component;
采用以下方式计算在选定点处的故障分量极电流值:Calculate the fault component pole current value at the selected point in the following way:
在一个实施例中:In one embodiment:
在步骤S304中包括:In step S304 include:
如果满足|ΔiLP(x,t)+ΔiRP(x,t)|>Ires,则判定状态为正极内部故障;如果满足|ΔiLN(x,t)+ΔiRN(x,t)|>Ires,则判定状态为负极内部故障,其中Ires表示预设阈值;If |Δi LP (x, t)+Δi RP (x, t)|>I res is met, the state is determined to be a positive internal fault; if |Δi LN (x, t)+Δi RN (x, t)| >I res , then the status is determined as a negative internal fault, where I res represents the preset threshold;
否则,将不激活差动保护。Otherwise, the differential protection will not be activated.
在一个实施例中,DC电网是单极的:In one embodiment, the DC grid is unipolar:
步骤S303还包括:Step S303 also includes:
通过基于贝杰龙模型,计算本地终端和远程终端的故障分量极电压值和故障分量模电流值,分别获得本地终端和远程终端的故障分量极行波电压值;Based on the Bergeron model, calculate the polar voltage value of the fault component and the mode current value of the fault component of the local terminal and the remote terminal, and obtain the polar traveling wave voltage value of the fault component of the local terminal and the remote terminal respectively;
分别将本地终端和远程终端的故障分量极行波电压值转换成本地终端和远程终端的故障分量模行波电流值;Converting the fault component polar traveling wave voltage values of the local terminal and the remote terminal into the fault component modulus traveling wave current values of the local terminal and the remote terminal;
根据本地终端和远程终端的故障分量极行波电流值,确定在DC线路上的选定点处的本地终端和远程终端的故障分量极电流值。Based on the fault component pole traveling wave current values of the local terminal and the remote terminal, the fault component pole current values of the local terminal and the remote terminal at selected points on the DC line are determined.
特别地这个实施例实现了基于单极DC电网的故障分量的贝杰龙模型。In particular this embodiment implements a Bergeron model based on the fault component of a unipolar DC grid.
在一个实施例中,在步骤S302中,采用以下方式计算故障分量极电压值和故障分量极电流值:In one embodiment, in step S302, the pole voltage value of the fault component and the pole current value of the fault component are calculated in the following manner:
其中,T表示时间延迟,ΔiL(t)是本地终端的故障分量极电流值,ΔiR(t)是远程终端的故障分量极电流值,ΔuL(t)是本地终端的故障分量极电压值,ΔuR(t)是远程终端的故障分量极电压值,iL(t)是本地终端的电流采样值,iR(t)是远程终端的电流采样值,uL(t)是本地终端的电压采样值,uR(t)是远程终端的电压采样值,并且t指的是时间;Among them, T represents the time delay, Δi L (t) is the pole current value of the fault component of the local terminal, Δi R (t) is the pole current value of the fault component of the remote terminal, and Δu L (t) is the pole voltage of the fault component of the local terminal Δu R (t) is the fault component pole voltage value of the remote terminal, i L (t) is the current sampling value of the local terminal, i R (t) is the current sampling value of the remote terminal, u L (t) is the local The voltage sampling value of the terminal, u R (t) is the voltage sampling value of the remote terminal, and t refers to time;
步骤S303中包括:Step S303 includes:
采用以下方式计算故障分量极行波电压值:The following method is used to calculate the fault component polar traveling wave voltage value:
其中,ZC是波阻抗,ΔuL+(t)是本地终端的故障分量极正向行波电压值;ΔuL-(t)是本地终端的故障分量极反向行波电压值;ΔuR+(t)是远程终端的故障分量极正向行波电压值;ΔuR-(t)是远程终端的故障分量极反向行波电压值;Among them, Z C is the wave impedance, Δu L+ (t) is the positive traveling wave voltage value of the fault component of the local terminal; Δu L- (t) is the reverse traveling wave voltage value of the fault component of the local terminal; Δu R+ ( t) is the polar forward traveling wave voltage value of the fault component of the remote terminal; Δu R- (t) is the reverse traveling wave voltage value of the fault component polarity of the remote terminal;
采用以下方式计算故障分量极行波电流值:Calculate the pole traveling wave current value of the fault component in the following way:
其中,ΔiL+(t)是本地终端的故障分量极正向行波电流值;ΔiL-(t)是本地终端的故障分量极反向行波电流值;ΔiR+(t)是远程终端的故障分量极正向行波电流值;ΔiR-(t)是远程终端的故障分量极反向行波电流值;Among them, Δi L+ (t) is the polar forward traveling wave current value of the fault component of the local terminal; Δi L- (t) is the polar reverse traveling wave current value of the fault component of the local terminal; Δi R+ (t) is the value of the remote terminal Pole forward traveling wave current value of the fault component; Δi R- (t) is the reverse traveling wave current value of the fault component pole of the remote terminal;
采用以下方式计算在选定位置处的故障分量极电流值:The fault component pole current value at the selected location is calculated as follows:
其中ΔiL(x,t)是在本地终端的选定点处的故障分量极电流值;ΔiR(x,t)是在远程终端的选定点处的故障分量极电流值,v是故障分量行波的行进速度。where Δi L (x, t) is the fault component pole current value at the selected point of the local terminal; Δi R (x, t) is the fault component pole current value at the selected point of the remote terminal, v is the fault The travel velocity of the component traveling wave.
在一个实施例中,步骤S304中包括:In one embodiment, step S304 includes:
如果满足|ΔiL(x,t)+ΔiR(x,t)|>Ires,则判定状态为内部故障。If |Δi L (x, t)+Δi R (x, t)|>I res is satisfied, it is determined that the state is an internal fault.
在一个实施例中,步骤S304还包括:In one embodiment, step S304 also includes:
如果状态被判定成内部故障,则发送故障保护命令以激活差动保护,否则将不激活差动保护。If the state is judged to be an internal fault, a failsafe command is sent to activate the differential protection, otherwise the differential protection will not be activated.
双极DC电网Bipolar DC grid
在本发明的优选的实施例中,如图4所示的示意地说明的故障分量分布电网,本发明的电流差动保护方法设法计算在特定的t时刻在选定点处的ΔiLP(x,t)和ΔiRP(x,t),以做出正极故障的判定,并且同时计算在特定的t时刻在选定点x处的ΔiLN(x,t)和ΔiRN(x,t),以做出负极故障的判定。本地侧41和远程侧42可以通过通信线路通信,这样本地侧41可获得本地侧41和远程侧42的全部参数信息。特别地,可采用以下方式计算ΔiLP(x,t)、ΔiRP(x,t)、ΔiLN(x,t)和ΔiRN(x,t):In a preferred embodiment of the invention, with a schematically illustrated fault component distributed grid as shown in Figure 4, the current differential protection method of the invention seeks to calculate the Δi LP (x , t) and Δi RP (x, t) to make a positive fault decision, and simultaneously calculate Δi LN (x, t) and Δi RN (x, t) at a selected point x at a specific time t , in order to make a negative fault judgment. The local side 41 and the remote side 42 can communicate through communication lines, so that the local side 41 can obtain all parameter information of the local side 41 and the remote side 42 . In particular, Δi LP (x,t), Δi RP (x,t), Δi LN (x,t) and Δi RN (x,t) can be calculated as follows:
故障分量电流和电压计算Fault Component Current and Voltage Calculations
通过以下公式(1)计算故障分量:The fault component is calculated by the following formula (1):
其中,T是时间延迟,根据需求,T可设定成例如10ms或100ms。Wherein, T is a time delay, and T can be set to, for example, 10 ms or 100 ms according to requirements.
极模式变换polar mode transformation
在通过公式(1)得到故障分量电流值和电压值ΔiLP(t),ΔiLN(t),ΔuLP(t),ΔuLN(t),ΔiRP(t),ΔiRN(t),ΔuRP(t)和ΔuRN(t)后,下一步是做极模变换以将极量转换成模量。在公式(2)中给出了针对电压和电流的极模变换矩阵。After obtaining the fault component current value and voltage value Δi LP (t), Δi LN (t), Δu LP (t), Δu LN (t), Δi RP (t), Δi RN (t) through formula (1), After Δu RP (t) and Δu RN (t), the next step is to do polar mode transformation to convert polar quantities into moduli. The pole-mode transformation matrices for voltage and current are given in equation (2).
基于贝杰龙模型的差动电流计算Calculation of Differential Current Based on Bergeron Model
在这个步骤中,将基于贝杰龙模型(行波传播方程),使用分别来自两个终端的测量值,计算被保护的线路上的选定点x处的故障分量行波共模和差模电流值。In this step, based on the Bergeron model (traveling wave propagation equation), the fault components traveling wave common and differential modes at a selected point x on the line to be protected will be calculated using the measured values respectively from the two terminals current value.
(1)计算故障分量模式行波电压值(1) Calculate the fault component mode traveling wave voltage value
公式3可以用来计算本地侧故障分量的共模正向电压行波ΔuL0+和反向电压行波ΔuL0-,本地侧故障分量的差模正向电压行波ΔuL1+和反向电压行波ΔuL1-,远程侧故障分量的共模正向电压行波ΔuR0+和反向电压行波ΔuR0-,以及远程侧故障分量的差模正向电压行波ΔuR1+和反向电压行波ΔuR1-。Equation 3 can be used to calculate the common-mode forward voltage traveling wave Δu L0+ and reverse voltage traveling wave Δu L0- of the local side fault component, and the differential mode forward voltage traveling wave Δu L1+ and reverse voltage traveling wave of the local side fault component Δu L1- , the common-mode forward voltage traveling wave Δu R0+ and reverse voltage traveling wave Δu R0- of the remote side fault component, and the differential mode forward voltage traveling wave Δu R1+ and reverse voltage traveling wave Δu of the remote side fault component R1- .
其中ZC0是共模波阻抗,ZC1是差模波阻抗。Where Z C0 is the common-mode wave impedance and Z C1 is the differential-mode wave impedance.
(2)计算故障分量模行波电流值(2) Calculate the fault component mode traveling wave current value
公式4可以用来计算本地侧故障分量的共模正向电流行波ΔiL0+和反向电流行波ΔiL0-,本地侧故障分量的差模正向电流行波ΔiL1+和反向电流行波ΔiL1-,远程侧故障分量的共模正向电流行波ΔiR0+和反向电流行波ΔiR0-,以及远程侧故障分量的差模正向电流行波ΔiR1+和反向电流行波ΔiR1-。Equation 4 can be used to calculate the common-mode forward current traveling wave Δi L0+ and reverse current traveling wave Δi L0- of the local side fault component, and the differential mode forward current traveling wave Δi L1+ and reverse current traveling wave of the local side fault component Δi L1- , the common-mode forward current traveling wave Δi R0+ and reverse current traveling wave Δi R0- of the remote side fault component, and the differential mode forward current traveling wave Δi R1+ and reverse current traveling wave Δi of the remote side fault component R1- .
(3)在选定位置处的故障分量模电流值(3) The fault component modulus current value at the selected position
基于行波原理,使用以下的公式5能够计算在选定点x处的本地终端和远程终端的故障分量差模和共模电流,其中通过本地终端的测量值计算选定点x处的本地终端的故障分量差模和共模电流,通过远程终端的测量值计算选定点x处的远程终端的故障分量差模和共模电流:Based on the principle of traveling waves, the fault component differential and common mode currents of the local terminal and the remote terminal at a selected point x can be calculated using Equation 5 below, where the local terminal at the selected point x is calculated from the measured value of the local terminal The fault component differential mode and common mode currents of the remote terminal are calculated from the measured values of the remote terminal at the selected point x. The fault component differential mode and common mode current of:
(4)模极变换(4) Modulus transformation
在这个步骤中,针对本地和远程终端均使用模极变换来计算在选定点处的正极电流和负极电流。在以下的公式6中示出了变换矩阵:In this step, the positive and negative currents at selected points are calculated using modulo-polar transformation for both the local and remote terminals. The transformation matrix is shown in Equation 6 below:
用于激活电流差动保护的判据:Criteria for activating current differential protection:
如果满足以下的公式7:If the following formula 7 is satisfied:
|ΔiLP(x,t)+ΔiRP(L-x,t)|>Ires (7)|Δi LP (x, t)+Δi RP (Lx, t)|>I res (7)
则状态被判定成“正极内部故障”,从而发送故障保护命令,并激活差动保护的控制。Then the state is judged as "positive internal fault", so that a fault protection command is sent and the control of the differential protection is activated.
如果满足以下公式(8):If the following formula (8) is satisfied:
|ΔiLN(x,t)+ΔiRN(L-x,t)|>Ires (8)|Δi LN (x, t)+Δi RN (Lx, t)|>I res (8)
则状态被判定成“负极内部故障”,从而发送故障保护命令,并激活差动保护的控制。Then the state is judged as "negative pole internal fault", so that a fault protection command is sent and the control of the differential protection is activated.
单极DC电网:Unipolar DC Grid:
在本发明的优选的实施例中,如图10所示,其中,ΔuL(t)和ΔiL(t)是本地终端的故障分量电压和电流,ΔuR(t)和ΔiR(t)是远程终端的故障分量电压和电流,In a preferred embodiment of the present invention, as shown in Figure 10, Δu L (t) and Δi L (t) are the fault component voltage and current of the local terminal, Δu R (t) and Δi R (t) is the remote terminal fault component voltage and current,
ΔiL(x,t)是采用本地测量值计算的在点x处的电流,Δi L (x, t) is the current at point x calculated using local measurements,
ΔiR(x,t)是采用远程测量值计算的在点x处的电流,Δi R (x, t) is the current at point x calculated using remote measurements,
如上图所示,将基于贝杰龙模型(电报方程,行波方程),采用两个终端的测量值分别计算在选定点“x”处的故障分量电流。As shown in the figure above, based on the Bergeron model (telegraph equation, traveling wave equation), the fault component current at the selected point "x" will be calculated separately using the measured values of the two terminals.
对于采用本地测量值计算的电流分量来说,x是沿着线路的任意选定点和本地终端之间的距离。例如,如果选定点是远程终端,那么距离x为线路的长度L;For current components calculated using local measurements, x is the distance between any chosen point along the line and the local terminal. For example, if the selected point is a remote terminal, then the distance x is the length L of the line;
对于采用远程测量值计算的电流分量来说,x是沿着线路的任意选定点和远程终端之间的距离。例如,如果选定点是远程终端,那么距离x为零。For current components calculated using remote measurements, x is the distance between any chosen point along the line and the remote terminal. For example, if the selected point is a remote terminal, then the distance x is zero.
在以下的章节中,将详细介绍计算步骤。In the following sections, the calculation steps will be described in detail.
故障分量电流和电压计算Fault Component Current and Voltage Calculation
计算故障分量的方法是:The way to calculate the failure component is:
在公式9中,u(t)和i(t)是测量的极电压和电流采样值。Δu(t)和Δi(t)是对应的故障分量电压和电流值。T是时间延迟,能够根据需要设定成例如10ms或100ms。根据本方法,两极和两端的故障分量电压值和电流值都能够如公式10进行计算。In Equation 9, u(t) and i(t) are the measured pole voltage and current samples. Δu(t) and Δi(t) are the corresponding fault component voltage and current values. T is a time delay, which can be set to, for example, 10 ms or 100 ms as needed. According to this method, both poles and fault component voltage and current values at both ends can be calculated as in formula 10.
基于贝杰龙模型的差动电流计算Calculation of Differential Current Based on Bergeron Model
在这个步骤中,将基于贝杰龙模型(行波传播方程),采用来自两个终端的测量值分别计算被保护的线路上的选定点x处的行波电流。In this step, based on the Bergeron model (traveling wave propagation equation), the traveling wave current at a selected point x on the line to be protected will be calculated separately using the measured values from the two terminals.
行波电压分量计算Calculation of traveling wave voltage components
公式11可用来计算正向电压行波ΔuL+和反向电压行波ΔuL-。Equation 11 can be used to calculate forward voltage traveling wave Δu L+ and reverse voltage traveling wave Δu L- .
行波电流分量计算Traveling wave current component calculation
然后,公式12可用来计算正向电流行波ΔiL+和反向电流行波ΔiL-。Then, Equation 12 can be used to calculate the forward current traveling wave Δi L+ and the reverse current traveling wave Δi L- .
在选定点处的行波电流分量计算Calculation of traveling wave current components at selected points
基于行波原理,使用公式13可计算在选定点x处的电流。Based on the principle of traveling waves, the current at a selected point x can be calculated using Equation 13.
其中,v是行波的行进速度;where v is the traveling speed of the traveling wave;
t是时间;t is time;
x是沿着线路的任意一点,它可以是中间点、端点、起始点或任何其它点;x is any point along the line, it can be an intermediate point, an end point, a starting point or any other point;
ΔiL(x,t)是采用本地终端的测量值计算的选定点x处的故障分量电流;Δi L (x, t) is the fault component current at the selected point x calculated using measurements at the local terminal;
ΔiR(x,t)是采用远程终端的测量值计算的选定点x处的故障分量电流;Δi R (x, t) is the fault component current at a selected point x calculated using measurements from the remote terminal;
差动电流计算Differential current calculation
如公式14所示,通过极电流计算差动电流,并和阈值比较。如果差动电流大于抑制电流,则意味着内部故障。否则意味外部故障。下面示出了用于检测内部故障的判据。As shown in Equation 14, the differential current is calculated from the pole current and compared with the threshold. If the differential current is greater than the inhibit current, it means an internal fault. Otherwise it means external failure. The criteria for detecting internal faults are shown below.
|ΔiL(x,t)+ΔiR(x,t)|>Ires (14)|Δi L (x, t)+Δi R (x, t)|>I res (14)
性能分析performance analysis
HVDC线路中的经典差动保护Classic Differential Protection in HVDC Lines
下面示出了典型的经典差动保护的判据:The following shows the criteria for a typical classical differential protection:
|ILocal+IRemote|>ISet (9)|I Local +I Remote |>I Set (9)
其中,ILocal是本地终端电流,IRemote是远程终端电流。Among them, I Local is the local terminal current, and I Remote is the remote terminal current.
图5示出当线路中发生内部故障时的状态。针对内部故障,有Fig. 5 shows the state when an internal fault occurs in the line. For internal faults, there are
|ILocal+IRemote|=IF+IC (10)|I Local +I Remote |=I F +I C (10)
其中,IF是如图5所示的通过故障分支的故障电流,IC是流经沿着线路分布的电容的电流,通常比零高得多,特别是对于长度长的输电线路。和公式(9)相比较,我们可观察到保护原理能够正确地工作。where IF is the fault current through the faulted branch as shown in Figure 5, and IC is the current flowing through the capacitance distributed along the line, which is usually much higher than zero, especially for long-length transmission lines. Comparing with equation (9), we can observe that the protection principle works correctly.
然而,对于外部故障,电容器电流将引发问题。图6示出了当线路中发生外部故障时的状态。对于外部故障,有However, for external faults, the capacitor current will cause problems. Fig. 6 shows the state when an external fault occurs in the line. For external faults, there are
|ILocal+IRemote|=IC (11)|I Local +I Remote |=I C (11)
从公式(11)我们了解到为了避免外部故障下的误动作,设定值ISet必须高于IC。由于IC只在故障后暂时存在,避免误动作的又一方法是使ISet保持为标准值,但是使用长的时间延迟来等待直到瞬态过程消失。From formula (11), we know that in order to avoid malfunction under external fault, the setting value I Set must be higher than I C . Since I C only exists temporarily after a fault, another way to avoid spurious operation is to keep I Set at the standard value, but use a long time delay to wait until the transient disappears.
通常在实际应用中,为了在高阻抗故障下不损害保护判据的灵敏度,使用第二种方法,即长的时间延迟(0.5s-1.5s)。但是随后,响应速度慢下来了。Usually in practical applications, in order not to impair the sensitivity of the protection criterion under high impedance faults, the second method, ie a long time delay (0.5s-1.5s), is used. But then, the response slowed down.
本发明this invention
本发明基于使用贝杰龙模型计算的行波分量,其中贝杰龙模型已经考虑到了线路分布电容。The invention is based on the traveling wave component calculated using the Bergeron model, which already takes into account the distributed capacitance of the line.
由此,能够计算精确的差动电流,精确的差动电流排除了分布电容器的充电电流:From this, it is possible to calculate the exact differential current, which excludes the charging current of the distributed capacitors:
-当内部故障发生时,计算的差动电流为流经故障分支的故障电流IF,例如,|ΔiLP(x,t)+ΔiRP(x,t)|=IF;- When an internal fault occurs, the calculated differential current is the fault current I F flowing through the faulted branch, for example, |Δi LP (x, t)+Δi RP (x, t)|= IF ;
-当外部故障发生时,本发明计算的差动电流为零,例如|ΔiLP(x,t)+ΔiRP(x,t)|=0。- When an external fault occurs, the differential current calculated by the present invention is zero, eg |Δi LP (x,t)+Δi RP (x,t)|=0.
这允许本发明不受沿着线路分布的电容的影响,从而确保动作速度。This allows the invention to be independent of capacitance distributed along the line, thereby ensuring speed of operation.
快速动作速度fast motion speed
动作速度对于保护来说非常重要;它是对保护的一个最重要的要求。当故障发生时,系统稳定性和人员安全受到威胁,快速隔离对于系统稳定性和人员安全是非常有益的。对保护的另外两个重要要求包括稳定性和灵敏度。好的保护原理必须实现这三个优点:快速动作速度、稳定性和灵敏度。Speed of movement is very important for protection; it is one of the most important requirements for protection. When a fault occurs, system stability and personnel safety are threatened, and rapid isolation is very beneficial to system stability and personnel safety. Two other important requirements for protection include stability and sensitivity. A good protection principle must achieve these three advantages: fast action speed, stability and sensitivity.
由于电容电流,经典差动保护不能快速动作,而在瞬态阶段过去之前等待,因此限制了它的速度。和经典差动保护不同,本发明不受沿着线路分布的电容的影响,因此它可以实现更快的动作速度。并且也是由于它不受电容电流的影响,因此它能够使用更低的电流阈值并且实现更高的灵敏度。Due to capacitive currents, classical differential protection cannot act fast, but waits until the transient phase has passed, thus limiting its speed. Unlike classical differential protection, the present invention is not affected by capacitance distributed along the line, so it can achieve faster operating speed. And also because it is not affected by capacitive current, it can use lower current threshold and achieve higher sensitivity.
考虑到取决于线路的长度和通信路由的通信时间,大多数情况下本发明的动作速度小于15ms,而经典差动保护的动作时间为0.5s-1.5s。本发明的算法可用做用于上述的LCC DC电网的主保护,并能用做用于其它类型的DC电网的备用保护,并且能够获得高于经典差动保护的动作速度;并且它也能用做用于短线路的主保护,其中短线路的通信时间短于其它类型的DC电网系统,或点对点HVDC系统。Considering the communication time depending on the length of the line and the communication route, the action speed of the present invention is less than 15ms in most cases, while the action time of the classic differential protection is 0.5s-1.5s. The algorithm of the present invention can be used as the main protection for the above-mentioned LCC DC power grid, and can be used as a backup protection for other types of DC power grids, and can obtain a higher action speed than the classical differential protection; and it can also be used It is used as the main protection for short lines, where the communication time of short lines is shorter than other types of DC grid systems, or point-to-point HVDC systems.
对高电阻故障的好的灵敏度Good sensitivity to high resistance faults
本发明对高电阻故障有好的灵敏度,因为它基于故障分量,去除了负载电流对差动保护的影响,而负载电流减少了经典差动保护的灵敏度。The present invention has good sensitivity to high-resistance faults because it is based on fault components and removes the influence of load current on differential protection, which reduces the sensitivity of classical differential protection.
广泛的适应性wide adaptability
在这节中,将从两个方面分析适应性:工作原理和动作速度。In this section, the adaptability will be analyzed from two aspects: working principle and motion speed.
工作原理相对适应性Working Principle Relative Adaptability
从上面的分析可知,本发明的差动保护原理只和线路参数相关,它使用线路参数来计算点“x”处的电流,它对DC系统的拓扑结构和控制没有特别的要求。It can be seen from the above analysis that the differential protection principle of the present invention is only related to the line parameters, and it uses the line parameters to calculate the current at the point "x", and it has no special requirements on the topology and control of the DC system.
动作速度相对适应性Relative adaptability of movement speed
由此我们了解大多数情况下本发明的动作速度小于15ms。From this we understand that the action speed of the present invention is less than 15ms in most cases.
因此,我们可根据对不同DC系统的动作速度的要求来选择将本发明的保护配置成主保护或备用保护。Therefore, we can choose to configure the protection of the present invention as main protection or backup protection according to the requirements for the action speed of different DC systems.
例如,对于基于LCC技术的点对点DC线路或DC电网,以及具有VSC技术的点对点DC线路,本发明既能够用作主保护又能用作备用保护。For example, for point-to-point DC lines or DC grids based on LCC technology, and point-to-point DC lines with VSC technology, the present invention can be used as both primary protection and backup protection.
对于基于VSC技术的DC电网,本发明能够用做备用保护,因为对动作速度的要求相当高,通常在5ms内。如果输电线路的长度短,则可减少通信引起的时间延迟,从而本发明也能用做主保护。For the DC power grid based on VSC technology, the present invention can be used as backup protection, because the requirement for the action speed is quite high, usually within 5ms. If the length of the transmission line is short, the time delay caused by communication can be reduced, so that the present invention can also be used as main protection.
应当指出的是,当被配置成备用保护时,本发明的性能比现有的基于差动电流的备用保护好得多,基于差动电流的备用保护的动作时间通常长于几百毫秒。It should be noted that when configured as back-up protection, the present invention performs much better than existing differential current-based back-up protection, whose operating time is typically longer than a few hundred milliseconds.
共振影响resonance effect
存在沿着线路分布线路电容,因为HVDC线路非常长,所以线路电容大。当故障发生时,出现大的电压和电流震荡(“共振”),将严重影响一些传统的保护原理,例如传统的电流差动保护、低压保护等。There is a distributed line capacitance along the line, which is large because the HVDC lines are very long. When a fault occurs, there will be a large voltage and current oscillation ("resonance"), which will seriously affect some traditional protection principles, such as traditional current differential protection, low-voltage protection, etc.
而本发明的方向元件基于贝杰龙模型,这个模型固有地考虑了“共振”,而不被“共振”影响。While the directional element of the present invention is based on the Bergeron model, this model inherently takes "resonance" into account and is not affected by "resonance".
模拟simulation
模拟模型simulation model
图7示出了模拟模型,±800kV的4端串联MTDC由两个整流站(R1和R2)以及两个逆变站(I1和I2)组成。输电线路的总长度为2000km,包括两条分支线路(每个500km)以及一条主干线(1000km)。每个逆变站具有带有一个12脉冲阀组的配置。每个整流转换器将具有跨400kV的标称DC电压,每个逆变转换器将具有跨373kV的标称DC电压,并且HV DC线的接地电压大约为400kV(对于R1和I1)或大约为800kV(对于R2和I2)。Figure 7 shows the simulation model, the ±800kV 4-terminal series MTDC consists of two rectifier stations (R1 and R2) and two inverter stations (I1 and I2). The total length of the transmission line is 2000km, including two branch lines (500km each) and a main line (1000km). Each inverter station has a configuration with a 12-pulse valve bank. Each rectifier converter will have a nominal DC voltage across 400kV, each inverter converter will have a nominal DC voltage across 373kV, and the HV DC line will have a ground voltage of approximately 400kV (for R1 and I1) or approximately 800kV (for R2 and I2).
本发明保护,继电器71、72位于上图中所示的+800kV的输电线的两个终端。并且内部故障在+800kV线路的端部,外部故障在+400kV线路上。并且在这种情况下极对极波阻抗ZC为264Ω。The present invention protects that the relays 71 and 72 are located at the two terminals of the +800kV transmission line shown in the figure above. And the internal fault is at the end of the +800kV line, and the external fault is on the +400kV line. And in this case the pole-to-pole wave impedance Z C is 264Ω.
图8示出了模拟结果,内部故障在2s时发生,并且外部故障在4s时发生。图8中,Fig. 8 shows the simulation results, the internal fault occurs at 2s, and the external fault occurs at 4s. In Figure 8,
-“IF”时流经故障分支的实际电流;- the actual current flowing through the faulty branch at "IF";
-“Idif贝杰龙”是由基于贝杰龙模型的保护原理计算的差动电流;- "Idif Bergeron" is the differential current calculated by the protection principle based on the Bergeron model;
-“Idif经典”是由经典差动保护计算的差动电流。- "Idif classic" is the differential current calculated by the classic differential protection.
内部故障分析Internal failure analysis
如图8所示,内部故障在2s时发生,故障电阻为3000欧姆。As shown in Figure 8, an internal fault occurs at 2s with a fault resistance of 3000 ohms.
应当注意到,当内部故障发生时,“Idif贝杰龙”和“IF”不完全相同,原因在于基于贝杰龙模型的原理使用故障分量计算差动电流,而这个模拟中的故障分量只存在50ms,因此在故障开始50ms后这两个电流不同。但是时间从故障开始(2s)到2.05s期间,根据基于贝杰龙模型的原理计算的差动电流足够接近实际故障电流“IF”。It should be noted that "Idif Bergeron" and "IF" are not exactly the same when an internal fault occurs, because the principle based on the Bergeron model uses the fault component to calculate the differential current, and the fault component in this simulation only exists 50ms, so the two currents differ 50ms after the fault starts. But during the period from the fault start (2s) to 2.05s, the differential current calculated according to the principle based on the Bergeron model is close enough to the actual fault current "IF".
从图8也能够获得经典保护计算的差动电流也接近实际故障电流“IF”,但是波形大。It can also be obtained from Fig. 8 that the differential current calculated by the classic protection is also close to the actual fault current "IF", but the waveform is large.
外部故障分析External failure analysis
如图8所示,外部故障发生在4s。As shown in Figure 8, the external fault occurs at 4s.
当外部故障发生时,理论上应该不存在故障电流。然而根据经典差动保护计算的差动电流(“Idif经典”)相当大,当内部故障在2s发生时甚至高于差动电流。因此我们能够观察到在瞬态过程中经典差动电流保护不能区分外部故障和内部故障,在瞬态过程消失前它必须等待。When an external fault occurs, theoretically there should be no fault current. However the differential current calculated according to the classical differential protection ("Idif classical") is quite large, even higher than the differential current when an internal fault occurs within 2s. So we can observe that during the transient the classical differential current protection cannot distinguish between external and internal faults, it has to wait before the transient disappears.
“Idif贝杰龙”示出了本发明计算的差动电流。从图8中可观察到外部故障发生之后计算的差动电流非常小,远远小于内部故障下计算的差动电流。也就是说,它能有效地区分外部故障和内部故障。"Idif Bergeron" shows the differential current calculated by the present invention. It can be observed from Fig. 8 that the calculated differential current after an external fault occurs is very small, much smaller than that calculated under an internal fault. That is, it can effectively distinguish external faults from internal faults.
概括来说,模拟结果显示了和经典差动保护相比较,基于贝杰龙模型的差动保护受到线路分布电容的影响更小。In summary, the simulation results show that the differential protection based on the Bergeron model is less affected by the distributed capacitance of the line compared to the classical differential protection.
图9示出了DC电网电流差动保护系统的结构模型图,包括以下模块:Figure 9 shows a structural model diagram of the DC grid current differential protection system, including the following modules:
采样值获得模块901,用于获得DC电网的本地终端和远程终端的极电压采样值和极电流采样值;The sampled value obtaining module 901 is used to obtain the sampled value of the pole voltage and the sampled value of the pole current of the local terminal and the remote terminal of the DC power grid;
故障分量提取模块902,用于根据本地终端和远程终端的极电压采样值分别计算故障分量极电压值;以及根据本地终端和远程终端的极电流采样值分别计算故障分量极电流值;The fault component extraction module 902 is used to calculate the pole voltage value of the fault component respectively according to the pole voltage sampling values of the local terminal and the remote terminal; and calculate the pole current value of the fault component respectively according to the pole current sampling values of the local terminal and the remote terminal;
极模变换模块,用于通过对本地终端和远程终端中的所述故障分量极电压值进行极模变换分别获得故障分量模电压值,以及通过对本地终端和远程终端中的所述故障分量极电流电压值进行极模变换分别获得故障分量模电流值;The pole mode conversion module is used for obtaining the mode voltage value of the fault component by performing pole mode conversion on the pole voltage value of the fault component in the local terminal and the remote terminal respectively, and by performing pole mode conversion on the pole voltage value of the fault component in the local terminal and the remote terminal The current and voltage values are subjected to pole-mode transformation to obtain the fault component mode current values respectively;
贝杰龙模型计算模块903,用于通过基于贝杰龙模型,计算本地终端和远程终端中的故障分量模电压值和故障分量模电流值,在选定点处分别获得本地终端和远程终端中的故障分量极电流值;The Bergeron model calculation module 903 is used to calculate the fault component mode voltage value and the fault component mode current value in the local terminal and the remote terminal based on the Bergeron model, and respectively obtain the local terminal and the remote terminal at a selected point. The fault component pole current value;
电流差动保护判定模块904,包括如果在选定点处的本地终端和远程终端中的故障分量极电流值满足预设电流差动保护判据,则判定内部故障,然后发送故障保护命令以激活差动保护,否则将不激活差动保护。Current differential protection determination module 904, including determining an internal fault if the fault component pole current value in the local terminal and remote terminal at the selected point satisfies the preset current differential protection criterion, and then sending a fault protection command to activate differential protection, otherwise the differential protection will not be activated.
上述实施例只用来描述本发明的数个示例,虽然详细地描述了这些实施例,但是不应该理解成限制本发明的保护范围。应该注意到,在不超出本发明的技术理念的情况下,本领域技术人员可做出数个修改和/或改进,这些全部都落入本发明的保护范围。因此,本发明的保护范围取决于所附权利要求。The above-mentioned embodiments are only used to describe several examples of the present invention. Although these embodiments have been described in detail, they should not be construed as limiting the protection scope of the present invention. It should be noted that without departing from the technical idea of the present invention, those skilled in the art may make several modifications and/or improvements, all of which fall within the protection scope of the present invention. Therefore, the protection scope of the present invention depends on the appended claims.
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