CN106655121B - A kind of micro-capacitance sensor bus Low ESR adaptive guard method - Google Patents
A kind of micro-capacitance sensor bus Low ESR adaptive guard method Download PDFInfo
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Abstract
本发明提供一种微电网母线低阻抗自适应保护方法,包括以下步骤:监测线路两端母线测量阻抗模值和相角;电压突变量启动,计算过渡电阻引起的附加阻抗角;计算测量阻抗模值自适应系数,修正母线测量阻抗模值;判断修正后的母线测量阻抗模值是否满足阻抗模值动作判据,判断母线测量阻抗相角是否满足相角动作判据;若两个判据同时满足,则判定为区内故障,保护动作。本发明修正过渡电阻引起的附加阻抗对母线测量阻抗模值造成的影响,使得微电网母线低阻抗保护具有较好的抗过渡电阻特性,提高了保护的可靠性。
The invention provides a low-impedance self-adaptive protection method for a busbar of a microgrid, comprising the following steps: monitoring the busbars at both ends of the line to measure the impedance modulo value and phase angle; starting the voltage sudden change, calculating the additional impedance angle caused by the transition resistance; calculating and measuring the impedance modulo value adaptive coefficient, modify the bus measured impedance modulus value; judge whether the corrected bus measured impedance modulus value meets the impedance modulus value action criterion, and judge whether the bus measured impedance phase angle meets the phase angle action criterion; if the two criteria are at the same time If it is satisfied, it is judged as a fault in the area, and the protection acts. The invention corrects the influence of the additional impedance caused by the transition resistance on the measured impedance modulus value of the busbar, so that the low-impedance protection of the microgrid busbar has better anti-transition resistance characteristics and improves the reliability of the protection.
Description
技术领域technical field
本发明涉及一种电力系统继电保护技术,特别是一种微电网母线低阻抗自适应保护方法。The invention relates to a power system relay protection technology, in particular to a low-impedance self-adaptive protection method for a micro-grid bus.
背景技术Background technique
微电网是由分布式电源(DG)和负荷组成的一个区域性小型电力网络,是目前分布式发电最有效的利用途径。微电源通常是采用逆变器接口进行并网的逆变型分布式电源(IBDG),当微电网内部发生故障时,为了保护电力电子器件不受损坏,逆变器的限流模块通常将IBDG提供的短路电流限制在2倍额定电流以内;同时,IBDG并网位置灵活,并网运行时,网内潮流会出现双向流动。这些特点使得传统配网中的电流保护难以直接运用到微电网当中,为此必须寻求一种新的保护方法,保证微电网的安全稳定运行。Microgrid is a regional small power network composed of distributed generation (DG) and loads, and is currently the most effective way to utilize distributed generation. The micro-power supply is usually an inverter-type distributed power supply (IBDG) connected to the grid using the inverter interface. When a fault occurs inside the micro-grid, in order to protect the power electronic devices from damage, the current limiting module of the inverter usually integrates the IBDG. The short-circuit current provided is limited to 2 times the rated current; at the same time, the IBDG grid connection position is flexible, and the power flow in the grid will flow in both directions when the grid is connected. These characteristics make it difficult for the current protection in the traditional distribution network to be directly applied to the microgrid. Therefore, a new protection method must be sought to ensure the safe and stable operation of the microgrid.
针对上述微电网特有的故障特性,单纯地利用电压或者电流这些本地电气量信息,无法满足微低网保护可靠性的要求。为此,有学者提出了一种部分基于通信的微电网保护方案--基于母线低阻抗的微电网保护(包含阻抗模值判据和相角判据)。利用故障后,两端母线电压的跌落,和潮流方向的改变,计算两端母线阻抗的模值与相角,通过与故障前两端母线阻抗模值和相角的比较,判定故障区间。这种保护方法利用故障前后母线电压和线路电流的比值信息,构成保护判据,克服了逆变器限流模块对短路电流大小的限制和网内潮流双向的影响,同时,两端通信仅交换布尔量信息,对通信要求较低,保护可靠性较高。但是,经过分析和验证,在区内发生经过渡电阻接地故障时,较大的过渡电阻会削弱故障时电气量特征,影响阻抗母线测量阻抗模值判据的可靠动作,使得故障期间母线测量阻抗模值过大,造成保护拒动。In view of the above-mentioned unique fault characteristics of the microgrid, simply using the local electrical quantity information such as voltage or current cannot meet the requirements of the protection reliability of the microgrid. To this end, some scholars have proposed a partial communication-based microgrid protection scheme--microgrid protection based on low bus impedance (including impedance modulus criterion and phase angle criterion). Using the drop of the bus voltage at both ends and the change of the direction of the power flow after the fault, the modulus value and phase angle of the bus impedance at both ends are calculated, and the fault interval is determined by comparing with the modulus value and phase angle of the bus impedance at both ends before the fault. This protection method uses the ratio information of the bus voltage and line current before and after the fault to form a protection criterion, which overcomes the limitation of the inverter current limiting module on the short-circuit current size and the influence of the two-way power flow in the network. At the same time, the communication between the two ends only exchanges Boolean information, lower communication requirements and higher protection reliability. However, after analysis and verification, when a grounding fault occurs in the area through a transition resistance, the larger transition resistance will weaken the electrical characteristics of the fault, and affect the reliable action of the impedance bus measurement impedance modulus criterion, making the bus measurement impedance during the fault. The modulus value is too large, causing the protection to refuse to move.
发明内容SUMMARY OF THE INVENTION
本发明的目的在于提供一种微电网母线低阻抗自适应保护方法,解决微电网内部发生经过渡电阻接地故障时,较大的过渡电阻造成母线低阻抗保护拒动的问题。The purpose of the present invention is to provide a low-impedance self-adaptive protection method for the busbar of the microgrid, which solves the problem that the busbar low-impedance protection refuses to operate due to the large transitional resistance when a grounding fault occurs in the microgrid.
一种微电网母线低阻抗自适应保护方法,其特征在于,包括以下步骤:A low-impedance self-adaptive protection method for a microgrid bus is characterized by comprising the following steps:
监测线路两端母线测量阻抗模值和相角;Monitor the busbars at both ends of the line to measure the impedance modulus and phase angle;
电压突变量启动,计算过渡电阻引起的附加阻抗角;The voltage sudden change is started, and the additional impedance angle caused by the transition resistance is calculated;
计算测量阻抗模值自适应系数,修正母线测量阻抗模值;Calculate the adaptive coefficient of the measured impedance modulo value, and correct the busbar measured impedance modulo value;
判断修正后的母线测量阻抗模值是否满足阻抗模值动作判据,判断母线测量阻抗相角是否满足相角动作判据;Judging whether the corrected bus measured impedance modulus value meets the impedance modulus value action criterion, and judges whether the bus measured impedance phase angle meets the phase angle action criterion;
若两个判据同时满足,则判定为区内故障,保护动作。If the two criteria are satisfied at the same time, it is judged as a fault in the area, and the protection acts.
本发明提出一种微电网母线低阻抗自适应保护方法,该方法基于母线测量电压与线路电流的比值,求取母线测量阻抗。通过对称分量法,结合不同的故障类型下的边界条件,推导短路接地电流与短路接地负序电流相角的关系,再利用系统的负序等值网络,得出保护安装处负序电流与短路接地负序电流相角的关系,从而计算附加阻抗角并求取母线测量阻抗模值的自适应系数,修正过渡电阻引起的附加阻抗对母线测量阻抗模值造成的影响,使得微电网母线低阻抗保护具有较好的抗过渡电阻特性,提高了保护的可靠性。The invention proposes a low-impedance self-adaptive protection method for a busbar of a microgrid. The method obtains the busbar measurement impedance based on the ratio of the busbar measurement voltage to the line current. Through the symmetrical component method, combined with the boundary conditions under different fault types, the relationship between the short-circuit grounding current and the short-circuit grounding negative-sequence current phase angle is derived, and then the negative-sequence equivalent network of the system is used to obtain the protection installation. The relationship between the phase angle of the grounding negative sequence current, so as to calculate the additional impedance angle and obtain the adaptive coefficient of the bus measured impedance modulus value, correct the influence of the additional impedance caused by the transition resistance on the bus measured impedance modulus value, and make the microgrid bus low impedance. The protection has better anti-transition resistance characteristics, which improves the reliability of the protection.
下面结合说明火速附图对本发明作进一步描述。The present invention will be further described below in conjunction with the accompanying drawings.
附图说明Description of drawings
图1是中压微电网线路模型图。Figure 1 is a circuit model diagram of a medium-voltage microgrid.
图2是m侧测量阻抗向量图。Figure 2 is the m-side measured impedance vector diagram.
图3是系统负序网络图。Figure 3 is a negative sequence network diagram of the system.
图4是未经过自适应修正的m侧测量阻抗模值图。Fig. 4 is the m-side measured impedance modulus graph without adaptive correction.
图5是经过自适应修正的m侧测量阻抗模值图。Figure 5 is an adaptively corrected m-side measured impedance modulo diagram.
图6是区内故障期间m、n侧测量阻抗角示意图。FIG. 6 is a schematic diagram of the measured impedance angles on the m and n sides during an intra-area fault.
图7是微电网母线低阻抗自适应保护流程图。Figure 7 is a flow chart of the low impedance adaptive protection of the microgrid bus.
具体实施方式Detailed ways
一种微电网母线低阻抗自适应保护方法包括如下步骤:A low-impedance adaptive protection method for a microgrid bus includes the following steps:
第一步,计算微电网内线路两端母线m、n侧测量阻抗。以微电网一条线路发生经过渡电阻接地故障为例,计算m侧测阻抗。m侧测量阻抗表达式如式(1)所示:The first step is to calculate the measured impedances of the m and n sides of the busbars at both ends of the line in the microgrid. Taking the ground fault of a line in the microgrid as an example, the m-side measurement impedance is calculated. The m-side measurement impedance expression is shown in formula (1):
式中:表示m侧母线相电压,表示流过线路m侧的相电流。由上式可知,只要利用保护测控装置测出m侧母线电压与m侧线路电流测量阻抗Zm就可以计算出,因此Zm是一个可以直接求出的量,那么不难求出母线测量阻抗的模值|Zm|和相角同理,n侧的母线测量阻抗仿照m侧母线测量阻抗的方法,也可以直接求出。where: Indicates the bus phase voltage on the m side, Indicates the phase current flowing on the m side of the line. It can be seen from the above formula that as long as the protection measurement and control device is used to measure the busbar voltage on the m side with m-side line current The measured impedance Z m can be calculated, so Z m is a quantity that can be directly obtained, then it is not difficult to find the modulus value |Z m | and the phase angle of the measured impedance of the bus In the same way, the measured impedance of the busbar on the n-side can also be directly obtained by imitating the method of measuring the impedance of the busbar on the m-side.
第二步,求解故障期间母线测量阻抗模值自适应系数。以求解m侧测量阻抗自适应系数为例,n侧可类似推导。母线测量电压可由式(2)表示:The second step is to solve the adaptive coefficient of the measured impedance modulus of the bus during the fault. Taking the solution of the m-side measurement impedance adaptation coefficient as an example, the n-side can be derived similarly. Bus measurement voltage It can be represented by formula (2):
式中:表示线路故障点对地电压;表示流过线路m侧的零序电流;Z1表示为故障点到m侧保护安装处的线路正序阻抗;Z0表示故障点到m侧保护安装处的线路零序阻抗。则Zm的具体表达式如式(3)所示:where: Indicates the line fault point-to-ground voltage; Represents the zero-sequence current flowing through the m-side of the line; Z 1 represents the line positive sequence impedance from the fault point to the m-side protection installation; Z 0 represents the line zero-sequence impedance from the fault point to the m-side protection installation. Then the specific expression of Z m is shown in formula (3):
式中:Zt为金属性接地故障时,m侧的测量阻抗,ΔZ为过渡电阻引起的测量附加阻抗;为故障点接地电流;Rg为过渡电阻。从式(3)可知,过渡电阻Rg会使得母线测阻抗产生一个附加阻抗,造成阻抗模值增大。由式(3)的阻抗向量关系可以推导得出式(4):In the formula: Z t is the measurement impedance of the m side when the metallic ground fault occurs, and ΔZ is the additional measurement impedance caused by the transition resistance; is the grounding current at the fault point; R g is the transition resistance. It can be seen from formula (3) that the transition resistance R g will cause an additional impedance to be generated in the bus measurement impedance, resulting in an increase in the impedance modulus value. Equation (4) can be derived from the impedance vector relationship of Equation (3):
式中:为m侧测量阻抗的相角;为附加阻抗的相角(简称附加阻抗角);为金属性故障时的m侧测量阻抗角。由式(4)可以得出m侧母线测量阻抗模值自适应系数kzm如式(5)所示:where: is the phase angle of the measured impedance on the m side; is the phase angle of the additional impedance (referred to as the additional impedance angle); The impedance angle is measured for the m-side at metallic faults. From equation (4), it can be concluded that the adaptive coefficient k zm of the m-side busbar measurement impedance modulus value is shown in equation (5):
由于均可以通过保护测控装置直接求得,因此,只要正确地估算出故障时附加阻抗角即可通过自适应系数kzm补偿过渡电阻对母线测量阻抗模值判据的影响。because can be directly obtained through the protection measurement and control device, therefore, as long as the additional impedance angle when the fault is correctly estimated The influence of the transition resistance on the criterion of the impedance modulo value of the busbar measurement can be compensated by the adaptive coefficient k zm .
第三步,针对不同的故障类型,计算附加阻抗角由式(3)中附加阻抗ΔZ表达式,可知求解公式如式(6)所示:The third step is to calculate the additional impedance angle for different fault types From the additional impedance ΔZ expression in formula (3), it can be known that The solution formula is shown in formula (6):
实际运行中,短路接地电流的相角无法直接测得,因此本发明专利的核心思想是根据不同的故障类型,结合故障的边界条件和对称分量法,推导短路接地电流与短路接地负序电流相角的关系,再利用系统的负序等值网络,推导出保护安装处负序电流与短路接地负序电流相角的关系,以此计算附加阻抗角。下面以计算m侧测量阻抗的附加阻抗角为例,n侧测量阻抗的附加阻抗角可同理计算出:In actual operation, short-circuit ground current Therefore, the core idea of the patent of the present invention is to deduce the relationship between the short-circuit grounding current and the short-circuit grounding negative sequence current phase angle according to different fault types, combined with the boundary conditions of the fault and the symmetrical component method, and then use the system The relationship between the negative sequence current at the protection installation and the phase angle of the short-circuit grounding negative sequence current is derived, and the additional impedance angle is calculated. Taking the calculation of the additional impedance angle of the measured impedance on the m side as an example, the additional impedance angle of the measured impedance on the n side can be calculated in the same way:
单相接地故障时,计算公式如式(7)所示:When a single-phase ground fault occurs, The calculation formula is shown in formula (7):
两相接地故障时,计算公式如式(8)所示:In the event of a two-phase ground fault, The calculation formula is shown in formula (8):
三相接地故障时,计算公式如式(9)所示:When a three-phase ground fault occurs, The calculation formula is shown in formula (9):
第四步,利用自适应系数修正故障时母线测量阻抗幅值,进行母线测量阻抗的模值判据和相角判据的判断,确定故障区间。通过步骤二、三可以求得自适应补偿系数kzm、kzn,带入式(4)可求得修正后的母线测量阻抗模值|Zm自|、|Zn自|,利用保护测控装置可以求得故障前后线路两端母线的测量阻抗变化角 The fourth step is to use the adaptive coefficient to correct the magnitude of the measured impedance of the bus when the fault occurs, and to judge the modulus criterion and phase angle criterion of the measured impedance of the bus to determine the fault interval. Through steps 2 and 3, the adaptive compensation coefficients k zm and k zn can be obtained, and the modified busbar measurement impedance modulo values |Z m from | and |Z n from | can be obtained by entering formula (4). The device can obtain the measured impedance change angle of the busbars at both ends of the line before and after the fault
母线测量阻抗模值判据如式(10)所示:The criterion for the modulus value of the measured impedance of the bus is shown in formula (10):
|Zm自|≤|Zset|&|Zn自|≤|Zset| (10)|Z m from |≤|Z set |&|Z n from |≤|Z set | (10)
式中:|Zm自|为经过自适应补偿后的m侧测量阻抗模值;|Zn自|为经过自适应补偿后的n侧测量阻抗模值;|Zset|为低阻抗阀值,可根据系统实际情况进行整定。In the formula: |Z mself | is the measured impedance modulus value of the m side after adaptive compensation; |Z nself | is the measured impedance modulus value of the n side after adaptive compensation; |Z set | is the low impedance threshold , can be adjusted according to the actual situation of the system.
母线测量阻抗相角判据如式(11)所示:The criterion for the phase angle of bus measurement impedance is shown in formula (11):
式中: 为故障后m侧测量阻抗角,为故障前m侧测量阻抗角; 为故障后n侧测量阻抗角;为故障前n侧测量阻抗角;θ为裕量角,一般取±30°。where: measure the impedance angle for the m side after the fault, Measure the impedance angle for the m side before the fault; Measure the impedance angle for the n-side after the fault; Measure the impedance angle for the n-side before the fault; θ is the margin angle, generally ±30°.
如果同时满足上述两个判据,则判定为区内故障,保护动作与断路器跳闸。If the above two criteria are met at the same time, it is judged as a fault in the area, the protection action and the circuit breaker trips.
实施例Example
以10kV中压微电网内的一条线路在稳定运行后0.2s时刻发生区内经过渡电阻接地故障为例,过渡电阻Rg=50Ω,来具体说明本方法,实施步骤如下:Taking a line in a 10kV medium-voltage microgrid that occurs at 0.2s after stable operation, the ground fault occurs through the transition resistance in the area as an example, and the transition resistance R g = 50Ω to specifically illustrate the method. The implementation steps are as follows:
第一步,利用保护测控装置,计算线路两端母线m、n侧测量阻抗。10kv中压微电网的一条线路模型如附图1所示,利用保护测控装置可以测得m侧母线测量电压流过m侧母线的线路电流n侧母线测量电压流过n侧母线的线路电流利用式(1)可以计算出m、n侧测量阻抗如下:The first step is to use the protection measurement and control device to calculate the measurement impedance of the m and n sides of the busbars at both ends of the line. A line model of a 10kv medium-voltage microgrid is shown in Figure 1. The measured voltage of the m-side busbar can be measured by using the protection measurement and control device. Line current flowing through the m-side busbar n-side busbar measurement voltage Line current flowing through the n-side bus Using the formula (1), the measured impedances of the m and n sides can be calculated as follows:
式中:|Zm|为m侧母线测量阻抗模值;为m侧母线测量阻抗相角;|Zn|为n侧母线测量阻抗模值;为n侧母线测量阻抗相角。实验中系统正常运行状态下的Zm=143.13∠41.84°,Zn=142.17∠-137.8°。In the formula: |Z m | is the measured impedance modulus value of the m-side busbar; is the measured impedance phase angle of the m-side busbar; |Z n | is the measured impedance modulus value of the n-side busbar; Measure the impedance phase angle for the n-side bus. In the experiment, Z m =143.13∠41.84° and Z n =142.17∠-137.8° under the normal operation state of the system.
第二步,求解故障期间母线测量阻抗模值自适应系数,以求解m侧测量阻抗模值自适应系数为例,n侧可类似推导。母线测量电压可由式(2)表示:The second step is to solve the adaptive coefficient of the measured impedance modulus value of the bus during the fault period. Taking the calculation of the adaptive coefficient of the measured impedance modulus value of the m side as an example, the n side can be derived similarly. Bus measurement voltage It can be represented by formula (2):
式中:表示线路故障点对地电压;表示流过线路m侧的零序电流;Z1表示为故障点到m侧保护安装处的线路正序阻抗;Z0表示故障点到m侧保护安装处的线路零序阻抗。实验中取Z0=1.5Z1,则Zm的具体表达式如式(3)所示:where: Indicates the line fault point-to-ground voltage; Represents the zero-sequence current flowing through the m-side of the line; Z 1 represents the line positive sequence impedance from the fault point to the m-side protection installation; Z 0 represents the line zero-sequence impedance from the fault point to the m-side protection installation. Taking Z 0 =1.5Z 1 in the experiment, the specific expression of Z m is shown in formula (3):
式中:Zt为金属性接地故障时,m侧的测量阻抗,ΔZ为过渡电阻引起的测量附加阻抗;为故障点接地电流;Rg为过渡电阻。由式(3)可作出阻抗向量图如附图2所示,根据三角形边角公式可得出关系式(4):In the formula: Z t is the measurement impedance of the m side when the metallic ground fault occurs, and ΔZ is the additional measurement impedance caused by the transition resistance; is the grounding current at the fault point; R g is the transition resistance. The impedance vector diagram can be drawn from the formula (3), as shown in Figure 2, and the relational formula (4) can be obtained according to the triangle angle formula:
式中:为附加阻抗的相角(简称附加阻抗角);|Zt|为金属性接地故障时,m侧的测量阻抗模值;为金属性故障时的m侧测量阻抗角。由式(4)可以求出m侧测量阻抗模值自适应系数如式(5)所示:where: is the phase angle of the additional impedance (referred to as the additional impedance angle); |Z t | is the measured impedance modulus value of the m side when the metallic ground fault occurs; The impedance angle is measured for the m-side at metallic faults. From the formula (4), the adaptive coefficient of the m-side measurement impedance modulus value can be obtained as shown in the formula (5):
式中:kzm为m侧测量阻抗模值自适应系数。通过式(3)中Zt的公式可以得知的计算表达式如式(6)所示:In the formula: k zm is the self-adaptive coefficient of the m-side measurement impedance modulus value. From the formula of Z t in formula (3), it can be known that The calculation expression of is shown in formula (6):
式中:为线路阻抗角,属于线路的固有参数,实验中取由式(6)可知,只要通过保护测控装置采集到线路m侧电流波形和零序电流波形,就可以计算出的值。因此,式(5)中只有附加阻抗角是未知量,只要正确估算就可以求得m侧测量阻抗模值自适应系数kzm。where: is the line impedance angle, which belongs to the inherent parameters of the line. It can be seen from equation (6) that as long as the current waveform and zero-sequence current waveform of the line m side are collected by the protection measurement and control device, it can be calculated. value of . Therefore, there is only an additional impedance angle in Eq. (5) is an unknown quantity, as long as it is estimated correctly Then the adaptive coefficient k zm of the m-side measured impedance modulus can be obtained.
第三步,针对不同的故障类型,计算附加阻抗角由式(3)中附加阻抗ΔZ表达式,可知求解公式如式(7)所示:The third step is to calculate the additional impedance angle for different fault types From the additional impedance ΔZ expression in formula (3), it can be known that The solution formula is shown in formula (7):
实际运行中,短路接地电流的相角无法直接测得,因此本发明专利的核心思想是根据不同的故障类型,结合故障的边界条件和对称分量法,推导短路接地电流与短路接地负序电流相角的关系,再利用系统的负序等值网络,推导出保护安装处负序电流与短路接地负序电流相角的关系,以此计算附加阻抗角。In actual operation, short-circuit ground current Therefore, the core idea of the patent of the present invention is to deduce the relationship between the short-circuit grounding current and the short-circuit grounding negative sequence current phase angle according to different fault types, combined with the boundary conditions of the fault and the symmetrical component method, and then use the system The relationship between the negative sequence current at the protection installation and the phase angle of the short-circuit grounding negative sequence current is derived, and the additional impedance angle is calculated.
以下推导过程每种类型故障列举一个例子说明:The following derivation process provides an example for each type of failure:
1)单相接地故障1) Single-phase ground fault
当线路A相发生接地故障时,短路点的边界条件如式(8)所示:When a ground fault occurs in phase A of the line, the boundary conditions of the short-circuit point are shown in equation (8):
式中:为短路点A相点对地电压;分别为B、C相短路点对地电流。利用对称分量法,将式(8)写成序分量的形式如式(9)所示:where: is the short-circuit point A phase-to-ground voltage; They are the short-circuit point-to-ground currents of phases B and C, respectively. Using the symmetric component method, formula (8) can be written in the form of order components as shown in formula (9):
式中:分别为短路点对地的正序、负序和零序电压;分别为短路点对地的正序、负序和零序电流;为故障相短路点对地短路电流。结合式(7)和式(9)可以得出A相接地时的表达式如(10)所示:where: are the positive-sequence, negative-sequence and zero-sequence voltages of the short-circuit point to ground, respectively; are the positive-sequence, negative-sequence and zero-sequence currents from the short-circuit point to the ground, respectively; It is the short-circuit current of the faulty phase short-circuit point to ground. Combining formula (7) and formula (9), it can be concluded that when phase A is grounded The expression is shown in (10):
式中:为m侧线路A相电流。系统负序网络如附图3所示,由附图3可以得出如下关系式:where: is the phase A current of the m-side line. The negative sequence network of the system is shown in Figure 3, and the following relationship can be drawn from Figure 3:
式中:Cm2为负序电流分配系数,简化计算,可以取为实数;为线路m侧负序电流。结合式(10)和式(11)可以得出最终表达式如式(12):In the formula: C m2 is the negative sequence current distribution coefficient, which can be taken as a real number to simplify the calculation; is the negative sequence current on the m side of the line. Combining equations (10) and (11), we can get The final expression is as formula (12):
即利用保护安装处负序电流的相角计算短路接地负序电流的相角,而保护安装处的负序电流相角可以通过保护测控装置测出,因此,阻抗附加角得以计算。实验中此故障类型求得的理论附加阻抗角可见本方法计算的附加阻抗角精度较高。其他两相发生单相接地故障时,附加阻抗角计算公式如下:That is, the phase angle of the negative sequence current at the protection installation is used to calculate the phase angle of the short-circuit grounding negative sequence current, and the phase angle of the negative sequence current at the protection installation can be measured by the protection measurement and control device. Therefore, the additional angle of the impedance be calculated. The fault type obtained in the experiment Theoretical Additional Impedance Angle It can be seen that the additional impedance angle calculated by this method is more accurate. When a single-phase ground fault occurs in the other two phases, the calculation formula of the additional impedance angle is as follows:
2)两相接地故障2) Two-phase ground fault
当线路BC两相发生接地故障时,短路点的边界条件如式(14)所示:When a ground fault occurs in two phases of line BC, the boundary conditions of the short-circuit point are shown in equation (14):
式中:为B相短路点对地电压;为C相短路点对地电压。利用对称分量法,式(14)可以写成序分量的形式:where: is the short-circuit point-to-ground voltage of phase B; It is the voltage of the C-phase short-circuit point to ground. Using the symmetric component method, equation (14) can be written in the form of order components:
BC两相接地故障的复合序网络图如附图4所示,由复合序网图可求出表达式如下:The composite sequence network diagram of BC two-phase grounding fault is shown in Figure 4, which can be obtained from the composite sequence network diagram The expression is as follows:
式中:x1∑、x2∑、x0∑分别为系统正序、负序和零序总电抗。通过式(16)可以写出短路点三相短路接地电流表达式如下:In the formula: x 1∑ , x 2∑ , x 0∑ are the total reactance of the positive sequence, negative sequence and zero sequence of the system, respectively. By formula (16), the expression of the three-phase short-circuit grounding current at the short-circuit point can be written as follows:
式中:a=ej120°;a2=e-j120°;通常为了简化计算,取x0∑=kx2∑,k为实数。结合式(7)与式(17),可以求出B、C相附加阻抗角如下:In the formula: a=e j120° ; a 2 =e -j120° ; Usually, in order to simplify the calculation, take x 0∑ =kx 2∑ , and k is a real number. Combining Equation (7) and Equation (17), the additional impedance angles of B and C phases can be obtained as follows:
实验中求得的理论本算法所求结果与理论真实结果近似。AB接地故障与CA接地故障时,附加阻抗角计算表达式如下:obtained in the experiment theory The results obtained by this algorithm are close to the theoretical real results. AB ground fault and CA ground fault, additional impedance angle The calculation expression is as follows:
3)三相接地故障3) Three-phase ground fault
三相接地故障为对称故障,系统无负序和零序网络,则附加阻抗表达式如下:The three-phase ground fault is a symmetrical fault, and the system has no negative sequence and zero sequence network, the additional impedance The expression is as follows:
综上,将第三步所求得的各个故障类型下的附加阻抗角带入式(5),即可得到对应的阻抗复制自适应系数。实验中各个故障类型下所求得的m侧测量幅值自适应系数汇总如下:To sum up, the additional impedance angle under each fault type obtained in the third step Bringing in Equation (5), the corresponding impedance replication adaptive coefficient can be obtained. The adaptive coefficients of the m-side measurement amplitude obtained under each fault type in the experiment are summarized as follows:
第四步,利用自适应系数修正故障时母线测量阻抗幅值,进行母线测量阻抗的模值判据和相角判据的判断,确定故障区间。The fourth step is to use the adaptive coefficient to correct the magnitude of the measured impedance of the bus when the fault occurs, and to judge the modulus criterion and phase angle criterion of the measured impedance of the bus to determine the fault interval.
测量阻抗模值判据如下:The criterion for measuring the impedance modulus value is as follows:
|Zm|≤|Zset|&|Zn|≤|Zset| (22)|Z m |≤|Z set |&|Z n |≤|Z set | (22)
式中:|Zm|为m侧测量阻抗模值;|Zn|为n侧测量阻抗模值;|Zset|为阻抗动作阀值,可根据实际情况整定,实验中取0.25倍正常运行时的测量阻抗|Zset|=35.75Ω。In the formula: |Z m | is the measured impedance modulus value of the m side; |Z n | is the measured impedance modulus value of the n side; |Z set | is the impedance action threshold value, which can be set according to the actual situation. Measured impedance |Z set |=35.75Ω.
测量阻抗相角判据如下:The criterion for measuring the impedance phase angle is as follows:
或 or
式中: 为故障后m侧测量阻抗角,为故障前m侧测量阻抗角; 为故障后n侧测量阻抗角;为故障前n侧测量阻抗角;θ为裕量角,一般取±30°。where: measure the impedance angle for the m side after the fault, Measure the impedance angle for the m side before the fault; Measure the impedance angle for the n-side after the fault; Measure the impedance angle for the n-side before the fault; θ is the margin angle, generally ±30°.
实验以m侧为例说明本发明所提算法的有效性,n侧原理相同。过渡电阻Rg=50Ω,在0.2s分别发生A相接地、BC接地,ABC接地故障,在未引入测量阻抗模值自适应系数时,m侧测量阻抗模值波形如附图4所示,可见过渡电阻产生附加阻抗,造成测量阻抗模值偏大,阻抗模值判据拒动。在引入测量阻抗模值自适应系数后,m侧测量阻抗模值波形如附图5所示,可见,本发明所提出的方法能很好的消除过渡电阻带来附加阻抗的影响,使得保护具有很好的抗过渡电阻能力,提高了保护的可靠性。m、n侧测量阻抗相角波形如附图6所示,相角判据使得了区内故障时保护可靠动作,区外故障时,保护不误动,保证了保护的选择性,附图7为保护算法流程图。The experiment takes the m-side as an example to illustrate the effectiveness of the algorithm proposed in the present invention, and the n-side has the same principle. Transition resistance R g = 50Ω, A phase grounding, BC grounding, and ABC grounding faults occur respectively in 0.2s. When the adaptive coefficient of the measured impedance modulus value is not introduced, the m-side measured impedance modulus value waveform is shown in Figure 4. It can be seen that the transition resistance generates additional impedance, which causes the measured impedance modulo value to be too large, and the impedance modulo value criterion refuses to move. After introducing the adaptive coefficient of the measured impedance modulus value, the m-side measured impedance modulus value waveform is shown in Figure 5. It can be seen that the method proposed in the present invention can well eliminate the influence of the additional impedance caused by the transition resistance, so that the protection has Good resistance to transition resistance, improving the reliability of protection. The phase angle waveforms of the measured impedances on the m and n sides are shown in Figure 6. The phase angle criterion enables the protection to operate reliably when there is a fault within the zone. When there is a fault outside the zone, the protection does not malfunction, which ensures the selectivity of the protection. Figure 7 Flowchart of the protection algorithm.
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