CN114362198A - High-impedance design method for extra-high voltage limited power frequency overvoltage and secondary arc current - Google Patents
High-impedance design method for extra-high voltage limited power frequency overvoltage and secondary arc current Download PDFInfo
- Publication number
- CN114362198A CN114362198A CN202111476121.XA CN202111476121A CN114362198A CN 114362198 A CN114362198 A CN 114362198A CN 202111476121 A CN202111476121 A CN 202111476121A CN 114362198 A CN114362198 A CN 114362198A
- Authority
- CN
- China
- Prior art keywords
- line
- voltage
- phase
- reactance
- power
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 238000000034 method Methods 0.000 title claims abstract description 38
- 238000013461 design Methods 0.000 title claims abstract description 30
- 230000005540 biological transmission Effects 0.000 claims abstract description 57
- 230000007935 neutral effect Effects 0.000 claims abstract description 28
- 238000011084 recovery Methods 0.000 claims abstract description 18
- 230000001052 transient effect Effects 0.000 claims abstract description 16
- 238000004088 simulation Methods 0.000 claims abstract description 6
- 230000009466 transformation Effects 0.000 claims abstract description 6
- 230000000694 effects Effects 0.000 claims description 17
- 238000004590 computer program Methods 0.000 claims description 13
- 238000012546 transfer Methods 0.000 claims description 13
- 230000001939 inductive effect Effects 0.000 claims description 9
- 230000001360 synchronised effect Effects 0.000 claims description 9
- 238000003860 storage Methods 0.000 claims description 8
- 239000003990 capacitor Substances 0.000 claims description 7
- 239000002131 composite material Substances 0.000 claims description 4
- 230000001965 increasing effect Effects 0.000 claims description 4
- 230000016507 interphase Effects 0.000 claims description 4
- 238000009826 distribution Methods 0.000 claims description 3
- 230000004907 flux Effects 0.000 claims description 3
- 238000010248 power generation Methods 0.000 claims description 3
- 230000001629 suppression Effects 0.000 claims description 3
- 230000001568 sexual effect Effects 0.000 claims description 2
- 238000004364 calculation method Methods 0.000 abstract description 17
- 238000010586 diagram Methods 0.000 description 12
- 230000006870 function Effects 0.000 description 12
- 230000008569 process Effects 0.000 description 6
- 238000012545 processing Methods 0.000 description 4
- 230000009471 action Effects 0.000 description 2
- 238000010276 construction Methods 0.000 description 2
- 230000008878 coupling Effects 0.000 description 2
- 238000010168 coupling process Methods 0.000 description 2
- 238000005859 coupling reaction Methods 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 238000004458 analytical method Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000008859 change Effects 0.000 description 1
- 230000007812 deficiency Effects 0.000 description 1
- 238000009795 derivation Methods 0.000 description 1
- 230000005284 excitation Effects 0.000 description 1
- 238000009434 installation Methods 0.000 description 1
- 238000009413 insulation Methods 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 230000003287 optical effect Effects 0.000 description 1
Images
Classifications
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
- Y02E40/30—Reactive power compensation
Landscapes
- Emergency Protection Circuit Devices (AREA)
Abstract
本发明属于输变电工程技术领域,尤其涉及一种特高压限制工频过电压和潜供电流的高抗设计方法。本发明包括:步骤1.建立系统的基于电磁暂态仿真模型;步骤2.确定特高压输电线路的空载长线路末端工频过电压;步骤3.求取线路甩负荷造成的工频电压升高;步骤4.确定特高压线路单相短路导致工频过电压;步骤5.确定特高压线路高抗数值;步骤6.确定高压并联电抗器中性点电抗。本发明利用高压并联电抗器加装中性点电抗方法,减小潜供电流和恢复电压,解决了远距离特高压交流电网的暂时性工频过电压和潜供电流超标的问题,提高了特高压线路的单相重合闸成功率。该计算方法简单实用,为特高压电网中工频过电压及其对电网设备的影响提供技术支撑。
The invention belongs to the technical field of power transmission and transformation engineering, and in particular relates to a high-resistance design method for ultra-high voltage limiting power frequency overvoltage and submerged supply current. The invention includes: step 1. establishing a system based on electromagnetic transient simulation model; step 2. determining the power frequency overvoltage at the end of the no-load long line of the ultra-high voltage transmission line; step 3. obtaining the power frequency voltage rise caused by the line load shedding Step 4. Determine the power frequency overvoltage caused by the single-phase short circuit of the UHV line; Step 5. Determine the high reactance value of the UHV line; Step 6. Determine the neutral point reactance of the high-voltage shunt reactor. The invention uses the method of adding neutral point reactance to the high-voltage shunt reactor to reduce the submerged supply current and recovery voltage, solve the problems of temporary power frequency overvoltage and submerged supply current exceeding the standard of the long-distance ultra-high voltage AC power grid, and improve the special Single-phase reclosing success rate of high-voltage lines. The calculation method is simple and practical, and provides technical support for power frequency overvoltage in UHV power grid and its influence on power grid equipment.
Description
技术领域technical field
本发明属于输变电工程技术领域,尤其涉及一种特高压限制工频过电压和潜供电流的高抗设计方法,特别是一种利用特高压并联电抗器及其中性点小电抗限制交流特高压输电线路工频过电压和潜供电流的方法。The invention belongs to the technical field of power transmission and transformation engineering, and in particular relates to a high-resistance design method for ultra-high voltage to limit power frequency overvoltage and submerged supply current, in particular to an ultra-high voltage shunt reactor and its neutral point small reactance to limit AC characteristics Methods for power frequency overvoltage and submerged supply current of high voltage transmission lines.
背景技术Background technique
工频过电压的频率为工频或者接近工频。工频过电压产生的原因包括空载长线路的电容效应、不对称接地故障引起的正常相电压升高、负荷突变等,它和系统结构、容量、参数及运行方式有关。The frequency of the power frequency overvoltage is the power frequency or close to the power frequency. The causes of power frequency overvoltage include the capacitive effect of long no-load lines, the normal phase voltage increase caused by asymmetric ground faults, and the sudden change of load, etc., which are related to the system structure, capacity, parameters and operation mode.
特高压电网具有更远距离、更大容量、更低损耗的电力输送能力。但特高压输电线路每1km线路长度下的充电无功功率可超过5.3MVA,相同线路长度下约为500kV线路的4-6倍。在特高压电力系统中,工频过电压大小直接影响操作过电压的幅值,并可能危及设备系统的安全运行。同时,工频过电压也是决定避雷器额定电压的重要依据,进而影响系统的过电压水平。The UHV power grid has the power transmission capacity of longer distance, larger capacity and lower loss. However, the charging reactive power of the UHV transmission line per 1km line length can exceed 5.3MVA, which is about 4-6 times that of the 500kV line under the same line length. In the UHV power system, the magnitude of the power frequency overvoltage directly affects the amplitude of the operating overvoltage, and may endanger the safe operation of the equipment system. At the same time, the power frequency overvoltage is also an important basis for determining the rated voltage of the arrester, which in turn affects the overvoltage level of the system.
由于我国华北、华中和华东电网由特高压电网互联和南北互供等远距离送电的要求,相当一部分特高压线路都比较长。单段线路的充电功率很大,必须使用高压并联电抗器(简称高抗)进行补偿。特高压线路接入并联电抗器后,由于电抗器的感性无功功率部分地补偿了线路的容性无功功率,相当于减少了线路长度,降低了工频电压升高值。Due to the requirement of long-distance power transmission such as the interconnection of UHV grids and the mutual supply of north and south power grids in North China, Central China and East China, a considerable number of UHV lines are relatively long. The charging power of a single-segment line is very large, and a high-voltage shunt reactor (referred to as high reactance) must be used for compensation. After the UHV line is connected to the shunt reactor, the inductive reactive power of the reactor partially compensates the capacitive reactive power of the line, which is equivalent to reducing the line length and reducing the power frequency voltage rise value.
根据国标GB/Z24842-2009《1000kV特高压交流输变电工程过电压与绝缘配合》规定,1000kV系统工频过电压一般需限制在1.3pu以下,在单相接地和三相甩负荷情况下线路侧可短时(持续时间不超过0.5s)允许在1.4pu以下。According to the national standard GB/Z24842-2009 "Overvoltage and Insulation Coordination of 1000kV UHV AC Power Transmission and Transformation Engineering", the power frequency overvoltage of 1000kV system generally needs to be limited to less than 1.3pu. In the case of single-phase grounding and three-phase load rejection, the line The side can be short-term (the duration does not exceed 0.5s) and is allowed to be below 1.4pu.
高抗的补偿度不能太高,以免给大负荷运行时的无功补偿和电压控制制造困难。根据我国在运特高压工程的经验,特高压电网建设初期,高抗补偿度控制在80%-90%。在电网较强的地区或是特高压输电线路较短时,补偿度可适当降低。The compensation degree of high reactance should not be too high, so as not to make reactive power compensation and voltage control difficult during heavy load operation. According to the experience of UHV projects in operation in my country, in the early stage of UHV power grid construction, the high resistance compensation degree is controlled at 80%-90%. In areas with strong power grids or when UHV transmission lines are short, the compensation degree can be appropriately reduced.
潜供电流不属于过电压,但它是单相重合闸过程中产生的一种需要重视的电磁暂态现象。特高压线路的潜供电流大,恢复电压高,潜供电弧难以熄灭,可能影响单相重合闸的无电流间歇时间和成功率,故需研究限制潜供电流和加快潜供电弧熄灭的措施。The submerged supply current is not an overvoltage, but it is an electromagnetic transient phenomenon that needs attention during the single-phase reclosing process. The submerged supply current of UHV lines is large, the recovery voltage is high, and the submerged supply arc is difficult to extinguish, which may affect the no-current intermittent time and success rate of single-phase reclosing.
发明内容SUMMARY OF THE INVENTION
针对上述现有技术中存在的不足之处,本发明提供了一种特高压限制工频过电压和潜供电流的高抗设计方法。其目的是为了实现解决远距离特高压交流电网的暂时性工频过电压和潜供电流超标的问题的发明目的。Aiming at the deficiencies in the above-mentioned prior art, the present invention provides a high-resistance design method for ultra-high voltage limiting power frequency overvoltage and submerged supply current. The purpose of the invention is to achieve the purpose of the invention to solve the problems of temporary power frequency overvoltage and submerged supply current exceeding the standard of the long-distance UHV AC power grid.
本发明为实现上述目的所采用的技术方案是:The technical scheme that the present invention adopts for realizing the above-mentioned purpose is:
一种特高压限制工频过电压和潜供电流的高抗设计方法,包括以下步骤:A high-resistance design method for ultra-high voltage to limit power frequency overvoltage and submerged supply current, comprising the following steps:
步骤1.建立系统的基于电磁暂态仿真模型;
步骤2.确定特高压输电线路的空载长线路末端工频过电压;
步骤3.求取线路甩负荷造成的工频电压升高;Step 3. Find the increase in power frequency voltage caused by line load shedding;
步骤4.确定特高压线路单相短路导致工频过电压;Step 4. Determine the power frequency overvoltage caused by the single-phase short circuit of the UHV line;
步骤5.确定特高压线路高抗数值;Step 5. Determine the high reactance value of the UHV line;
步骤6.确定高压并联电抗器中性点电抗。Step 6. Determine the neutral point reactance of the high-voltage shunt reactor.
更进一步的,步骤1所述建立系统的基于电磁暂态仿真模型,是依据收集的系统参数,基于电磁暂态建模方法,建立特高压输变电线路的分布式模型、主变压器和特高压联网工程详细模型和区域电网电源和负荷的等值模型。Further, the establishment of the electromagnetic transient simulation model of the system described in
更进一步的,所述收集的系统参数,包含局部同步电机主要参数、输电线路的主要参数;所述局部同步电机主要参数包括:同步电机、主变压器、串联补偿、低压电抗器补偿、低压电容器补偿、断面负荷系统参数;所述输电线路的主要参数包含:输电线路对地电容、相间电容,单位长度电感、电纳(电容)线路参数。Further, the collected system parameters include the main parameters of the local synchronous motor and the main parameters of the transmission line; the main parameters of the local synchronous motor include: synchronous motor, main transformer, series compensation, low-voltage reactor compensation, low-voltage capacitor compensation , Section load system parameters; the main parameters of the transmission line include: transmission line-to-ground capacitance, phase-to-phase capacitance, inductance per unit length, and susceptance (capacitance) line parameters.
更进一步的,步骤2所述确定特高压输电线路的空载长线路末端工频过电压,是通过单纯考虑线路的容升效应和计及电源电抗后空载线路容升效应进行对比,得出电源电抗相当于增加了线路长度,进而进一步增加了工频过电压,使谐振点提前;Further, the determination of the power frequency overvoltage at the end of the no-load long line of the UHV transmission line in
设空载无损线路长度为l,当末端电流计算出首端电压末端电压及线路中某一点的电压为式(1):Let the length of the no-load lossless line be l, when the terminal current Calculate the head-end voltage terminal voltage and the voltage at a point in the line is formula (1):
式中:为波阻抗;为相位常数;x为离受端的距离,L0为单位长度电抗;C0为单位长度电容,l为线路长度;where: is the wave impedance; is the phase constant; x is the distance from the receiving end, L 0 is the reactance per unit length; C 0 is the capacitance per unit length, and l is the line length;
定义线路末端对首端的电压传递系数为式(2):The voltage transfer coefficient from the end of the line to the head end is defined as formula (2):
式中:首端电压末端电压线路末端对首端的电压传递系数为K12;In the formula: head-end voltage terminal voltage The voltage transfer coefficient from the end of the line to the head end is K 12 ;
由式(2)可知,线路上的电压自首端起逐渐上升,沿线按余弦曲线分布,线路末端电压达到最大值,如当βl=90°时,从线路首端看去,相当于发生串联谐振,K12→∞,此时线路长度即为工频空载长线路上的电压分布的0.25倍波长;同时,空载线路的电容电流在电源电抗上也会形成电压升高,使线路首端的电压高于电源电动势,进一步增加了工频过电压;From formula (2), it can be known that the voltage on the line is from the head end It gradually rises from When the maximum value is reached, for example, when βl=90°, when viewed from the head end of the line, it is equivalent to series resonance, K 12 →∞, At this time, the line length is 0.25 times the wavelength of the voltage distribution on the long power frequency no-load line; at the same time, the capacitive current of the no-load line will also form a voltage increase on the power supply reactance, so that the voltage at the head end of the line is higher than the power supply electromotive force, and further Increased power frequency overvoltage;
考虑电源电抗后,可得线路末端电压与电源电动势的关系,如下式:After considering the reactance of the power supply, the relationship between the voltage at the end of the line and the electromotive force of the power supply can be obtained, as follows:
上式中,为发电机电动势,j为虚数符号,ZC为波阻抗,XS为电源电抗,为线路首端电流;In the above formula, is the generator electromotive force, j is the imaginary number symbol, Z C is the wave impedance, X S is the power source reactance, is the current at the head end of the line;
令:将式(3)变型,可得线路末端电压与电源电动式的传递函数K02,如下式:make: By modifying the formula (3), the transfer function K 02 between the voltage at the end of the line and the electric power source can be obtained, as follows:
电源电抗Xs的影响通过角度表示,当时K02→∞,此时相当于电源电抗增加了线路长度,谐振点提前,可知电源电抗也增加工频电压倍数;The influence of the mains reactance X s through the angle said that when When K 02 →∞, at this time It is equivalent to that the power supply reactance increases the line length, and the resonance point is advanced. It can be seen that the power supply reactance also increases the power frequency voltage multiple;
线路末端电压对电源电动式的传递函数,表达如下:The transfer function of the voltage at the end of the line to the electric power supply is expressed as follows:
式(5)中:为波阻抗;为相位常数。In formula (5): is the wave impedance; is the phase constant.
更进一步的,步骤3所述求取线路甩负荷造成的工频电压升高,是设系统正常运行时,线路首端电压为线路首端电流功率因数为则传输的有功功率无功功率若电源电抗Xs,则发电电动式E为:Further, in step 3, to obtain the rise in power frequency voltage caused by line load shedding, it is assumed that when the system is in normal operation, the voltage at the head end of the line is: Line head current The power factor is then the transmitted active power reactive power If the power source reactance X s , the generator electric formula E is:
甩负荷前,若线路上输送相当大的有功及感性无功功率,电源发电电动式E必然高于线路首端电压值U1,E>U1;Before load shedding, if a considerable amount of active and inductive reactive power is transmitted on the line, the power generation electric type E must be higher than the voltage value U 1 at the head end of the line, E>U 1 ;
甩负荷后,根据磁链不变原理,认为电源暂态电动势不变,电源暂态电动势E′d≈E,E为发电机电动势;由于线路末端断路器分闸,形成电源带空载长线的运行方式;末端甩负荷后,线路首端电压高于电源电动势,长线路末端过电压更为严重。After load shedding, according to the principle of constant flux linkage, it is considered that the transient electromotive force of the power supply remains unchanged, and the transient electromotive force of the power supply E′ d ≈ E, E is the electromotive force of the generator; because the circuit breaker at the end of the line is opened, the power supply with no-load long line is formed. Operation mode: After the end of the load shedding, the voltage at the head end of the line is higher than the power supply electromotive force, and the overvoltage at the end of the long line is more serious.
更进一步的,步骤4所述确定特高压线路单相短路导致工频过电压,包括:Further, in step 4, it is determined that the single-phase short circuit of the UHV line causes the power frequency overvoltage, including:
设系统中A相发生单相接地故障,其边界条件则有:Assuming that a single-phase ground fault occurs in the A-phase of the system, its boundary conditions Then there are:
式中为故障点处电压的正序、负序、零序分量;为故障处电流的正序、负序、零序分量;in the formula are the positive sequence, negative sequence and zero sequence components of the voltage at the fault point; are the positive sequence, negative sequence and zero sequence components of the current at the fault;
根据所设的边界条件,形成单相接地时的复合序网,由该序网得出序电流和健全相电压,如下:According to the set boundary conditions, a composite sequence network is formed when the single phase is grounded, and the sequence current and the sound phase voltage can be obtained from the sequence network, as follows:
上式中a=ej120°;Z1、Z2、Z0为由故障点看进去的网络正序、负序、零序阻抗,为电网B相电压,为电网C相电压,为电源A相电动势;以K(1)表示单相接地故障后健全相电压升高,式(5)可简化为:In the above formula, a=e j120° ; Z 1 , Z 2 , and Z 0 are the positive-sequence, negative-sequence, and zero-sequence impedances of the network viewed from the fault point, is the phase B voltage of the grid, is the phase C voltage of the grid, is the A-phase electromotive force of the power supply; with K (1) representing the rise of the sound phase voltage after a single-phase ground fault, equation (5) can be simplified as:
上式中,为电网健全相电压;In the above formula, Phase voltage for grid sound;
其中:in:
上式中,Z1、Z2、Z0为由故障点看进去的网络正序、负序、零序阻抗,对于系统输送容量较大的特高压输电系统一般有Z1≈Z2,忽略各序阻抗电阻分量,简化为:In the above formula, Z 1 , Z 2 , and Z 0 are the positive-sequence, negative-sequence, and zero-sequence impedances of the network viewed from the fault point. For UHV transmission systems with large transmission capacity, Z 1 ≈ Z 2 , ignoring The resistance components of each sequence impedance are simplified as:
上式中:X0为零序电抗,X1为正序电抗;In the above formula: X 0 is zero-sequence reactance, and X 1 is positive-sequence reactance;
由上式可知,工频过电压与由故障点看进去的X0/X1(零序与正序电抗之比)有很大关系;X0/X1增加将使单相接地故障甩负荷过电压有增大趋势;It can be seen from the above formula that the power frequency overvoltage has a great relationship with X 0 /X 1 (the ratio of zero sequence and positive sequence reactance) seen from the fault point; the increase of X 0 /X 1 will make the single-phase ground fault load shed. Overvoltage tends to increase;
典型特高压输电线路的取X0/X1=2.6;则求出K(1)和U:Take X 0 /X 1 =2.6 for a typical UHV transmission line; then find K (1) and U:
U=1.21EU=1.21E
上式中:E为电源电势,U为电压。In the above formula: E is the power supply potential, and U is the voltage.
更进一步的,步骤5所述确定特高压线路高抗数值是根据三种情况的工频过电压,同时结合典型工程的无功补偿,综合确定特高压线路高抗数值;Further, the determination of the high reactance value of the UHV line described in step 5 is based on the power frequency overvoltage of the three situations, and at the same time, combined with the reactive power compensation of the typical project, comprehensively determine the high reactance value of the UHV line;
特高压输电线路沿线电压和电流的无损长线路方程为:The lossless long-line equation of the voltage and current along the UHV transmission line is:
式中:为波阻抗;为相位常数;x为离受端的距离,x0为单位长度电抗;b0为单位长度电纳,线路中某一点的电压为电流为受端电压为电流为虚数符号为j,sinβx为正弦函数,cosβx为余弦函数;where: is the wave impedance; is the phase constant; x is the distance from the receiving end, x 0 is the reactance per unit length; b 0 is the susceptance per unit length, and the voltage at a certain point in the line is current is The receiving terminal voltage is current is The imaginary number symbol is j, sinβx is a sine function, and cosβx is a cosine function;
以受端电压为基准,若受端传输功率为:at the receiving terminal voltage As the benchmark, if the transmission power of the receiving end is:
Sr=Pr+jQr (13)S r =P r +jQ r (13)
上式中:Sr为受端传输功率,Pr为有功功率,Qr为无功功率,j为虚数符号;In the above formula: S r is the transmission power of the receiving end, P r is the active power, Q r is the reactive power, and j is the imaginary number symbol;
则式(12)的表达形式可化为:Then the expression form of formula (12) can be transformed into:
长度为l的线路产生的充电无功,用单位长度电纳b0的充电功率积分形式表示:The charging reactive power generated by a line of length l is expressed in the integral form of the charging power of the susceptance b 0 per unit length:
上式中:QC为长线路充电功率,为x点电压共轭,b0为单位电纳,ZC为波阻抗,x为线路某点长度,为线路中某一点的电压;In the above formula: Q C is the long-line charging power, is the voltage conjugate at point x, b 0 is the unit susceptance, Z C is the wave impedance, x is the length of a certain point of the line, is the voltage at a point in the line;
结合式(13)中的电压方程,长线路充电功率QC为:Combined with the voltage equation in equation (13), the long-line charging power QC is:
上式中,Pr为有功功率,Qr为无功功率;In the above formula, P r is the active power, and Q r is the reactive power;
由式(16)看出,线路充电无功功率与线路传输功率,线路长度和单位电抗和电纳有关;在功率传输过程中高抗设计依据长线的充电功率Qc,Qc随着有功功率略有增加,但是线路的电容起主要作用;同时高抗设计满足抑制负荷轻载情况下最高电压,所以轻载线路参数作为高抗取值的控制条件;It can be seen from equation (16) that the line charging reactive power is related to the line transmission power, the line length and the unit reactance and susceptance; in the power transmission process, the high reactance design is based on the long-line charging power Q c , and Q c varies slightly with the active power. There is an increase, but the capacitance of the line plays a major role; at the same time, the high-resistance design satisfies the suppression of the highest voltage under light load conditions, so the light-load line parameters are used as the control conditions for the high-resistance value;
式(16)简化为:Equation (16) is simplified to:
上式中:Qc为长线路充电无功功率,Ue为系统额定相电压;In the above formula: Q c is the charging reactive power of the long line, U e is the rated phase voltage of the system;
高抗设计由下式决定:The high resistance design is determined by the following formula:
上式中,QL为高抗补偿容量,Qc为长线路充电无功功率,B为补偿系数。In the above formula, Q L is the high resistance compensation capacity, Q c is the charging reactive power of the long line, and B is the compensation coefficient.
更进一步的,步骤6所述确定高压并联电抗器中性点电抗,当线路发生单相接地故障时,故障相两端断路器跳闸后,其他两相仍在运行,且保持工作电压;由于相间电容C12和相间互感M的作用,故障点仍流过一定的电流即为潜供电流,其电弧称之为潜供电弧;Further, the neutral point reactance of the high-voltage shunt reactor is determined in step 6. When a single-phase grounding fault occurs in the line, after the circuit breakers at both ends of the faulty phase are tripped, the other two phases are still running and maintain the working voltage; Due to the action of capacitor C 12 and mutual inductance M between phases, a certain current still flows through the fault point It is the submerged supply current, and its arc is called the submerged supply arc;
潜供电流包括:电容分量和电感分量;The submerged supply current includes: capacitive component and inductive component;
电容分量是指正常相的电压通过相间电容C12向故障点提供的电流;同时,正常相上的负载电流经相间互感在故障相上感应出电动势,该电动势通过相对地电容及高抗形成的回路,向故障点提供电流,在大部分无补偿情况下电容分量起主要作用;The capacitive component refers to the current provided by the voltage of the normal phase to the fault point through the phase-to-phase capacitor C12; at the same time, the load current on the normal phase induces an electromotive force on the faulty phase through the phase-to-phase mutual inductance, and the electromotive force is formed by the phase-to-ground capacitance and high reactance. The loop provides current to the fault point, and the capacitive component plays a major role in most uncompensated situations;
电感分量是指正常相上的负载电流经相间互感在故障相上感应出电动势,电动势通过相对地电容及高抗形成的回路,向故障点提供电流;The inductance component means that the load current on the normal phase induces an electromotive force on the faulty phase through the mutual inductance between the phases, and the electromotive force provides current to the fault point through the loop formed by the relative-to-ground capacitance and high reactance;
潜供电流和恢复电压都应限制在较小值,当潜供电流较大和恢复电压较高时,为了限制潜供电流及其恢复电压,利用加装高压并联电抗器中性点电抗的方法,以减小潜供电流和恢复电压,包括:加速潜供电弧熄灭和抑制谐振过电压的要求两个维度,通过确定的线间容抗和高抗数值计算出高压并联电抗器中性点电抗的数值。Both the submersible supply current and the recovery voltage should be limited to a small value. When the submerged supply current is large and the recovery voltage is high, in order to limit the submerged supply current and its recovery voltage, the method of adding a neutral point reactance of a high-voltage shunt reactor is used. In order to reduce the submerged supply current and recovery voltage, including: accelerating the submerged arc extinguishing and suppressing the resonant overvoltage in two dimensions, the neutral point reactance of the high-voltage shunt reactor is calculated through the determined line-to-line capacitive reactance and high reactance values. numerical value.
更进一步的,按所述加速潜供电弧熄灭的要求选择小电抗;Further, a small reactance is selected according to the requirement of accelerating submerged arc extinguishing;
潜供电流小于(15~20)A;The submerged supply current is less than (15~20)A;
从补偿相间电容的角度出发可按式(19)对小电抗值进行近似估算:From the perspective of compensating the interphase capacitance, the small reactance value can be approximated according to equation (19):
式中:X0中性点小电抗的电抗值,XL并联电抗器的正序电抗值,X12线路的相间容抗值;In the formula: the reactance value of the neutral point small reactance of X 0 , the positive sequence reactance value of the X L shunt reactor, and the phase-to-phase capacitive reactance value of the X 12 line;
按所述抑制谐振过电压的要求选择小电抗:Select a small reactance according to the requirements for suppressing resonant overvoltage:
为抑制工频传递谐振过电压,中性点小电抗按式(20)计算:In order to suppress the resonant overvoltage transmitted by the power frequency, the small reactance of the neutral point is calculated according to the formula (20):
式中:XL0并联电抗器的零序电抗值,对单相电抗器,XL0=XL;对三相三柱式电抗器,XL0=XL/2;In the formula: the zero-sequence reactance value of XL0 shunt reactor, for single-phase reactor, XL0 = XL ; for three-phase three-column reactor, XL0 = XL /2;
特高压线路高抗补偿采用单相电抗器,则式(19)和(20)相同;Single-phase reactor is used for high reactance compensation of UHV line, then formulas (19) and (20) are the same;
通过分析长线容升效应、线路甩负荷、以及线路单相接地故障情况下,同时考虑线路的无功补偿等因素,计算出并联高抗值;根据确定的高抗值及线路参数确定最终的中性点小电抗值。By analyzing the long-line capacity lift effect, line load rejection, and line single-phase grounding fault, and considering the reactive power compensation of the line, the parallel high reactance value is calculated; according to the determined high reactance value and line parameters, the final intermediate Sexual point small reactance value.
一种计算机存储介质,所述计算机存储介质上存有计算机程序,所述计算机程序被处理器执行时实现所述的一种特高压限制工频过电压和潜供电流的高抗设计方法的步骤。A computer storage medium, on which a computer program is stored, and the steps of implementing the above-described high-resistance design method for ultra-high voltage limiting power frequency overvoltage and potential supply current when the computer program is executed by a processor .
本发明具有以下有益效果及优点:The present invention has the following beneficial effects and advantages:
本发明利用高压并联电抗器加装中性点电抗(又称小电抗)的方法,减小潜供电流和恢复电压,从而解决了现有技术中远距离特高压交流电网的暂时性工频过电压和潜供电流超标的问题,提高了特高压线路的单相重合闸成功率。The invention uses the method of adding neutral point reactance (also known as small reactance) to the high-voltage shunt reactor to reduce the latent supply current and recovery voltage, thereby solving the temporary power frequency overvoltage of the long-distance ultra-high voltage AC power grid in the prior art And the problem of submerged supply current exceeding the standard has improved the success rate of single-phase reclosing of UHV lines.
本发明计算方法简单实用,能够更加容易地用于工程实践之中,为特高压电网中工频过电压及其对电网设备的影响提供了基础技术支撑。The calculation method of the invention is simple and practical, can be more easily used in engineering practice, and provides basic technical support for the power frequency overvoltage in the ultra-high voltage power grid and its influence on the power grid equipment.
附图说明Description of drawings
本发明的上述和/或附加的方面和优点从结合下面附图对实施例的描述中将变得明显和容易理解,其中:The above and/or additional aspects and advantages of the present invention will become apparent and readily understood from the following description of embodiments taken in conjunction with the accompanying drawings, wherein:
图1是本发明特高压空载线路的的电容效应图;Fig. 1 is the capacitance effect diagram of the UHV no-load line of the present invention;
图2是本发明单相接地时的复合序网;Fig. 2 is the composite sequence network when single-phase grounding of the present invention;
图3是本发明潜供电流示意图;3 is a schematic diagram of a potential supply current of the present invention;
图4是本发明特高压长线路的等值电路图。Fig. 4 is the equivalent circuit diagram of the UHV long line of the present invention.
图中:In the picture:
具体实施方式Detailed ways
为了能够更清楚地理解本发明的上述目的、特征和优点,下面将结合附图和具体实施方式对本发明进行进一步的详细描述。需要说明的是,在不冲突的情况下,本申请的实施例及实施例中的特征可以相互组合。In order to more clearly understand the above objects, features and advantages of the present invention, the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments. It should be noted that the embodiments of the present application and the features in the embodiments may be combined with each other in the case of no conflict.
在下面的描述中阐述了很多具体细节以便于充分理解本发明,但是,本发明还可以采用其他不同于在此描述的其他方式来实施,因此,本发明的保护范围并不受下面公开的具体实施例的限制。Many specific details are set forth in the following description to facilitate a full understanding of the present invention. However, the present invention can also be implemented in other ways different from those described herein. Therefore, the protection scope of the present invention is not limited by the specific details disclosed below. Example limitations.
下面参照图1-图4描述本发明一些实施例的技术方案。The technical solutions of some embodiments of the present invention are described below with reference to FIGS. 1 to 4 .
实施例1Example 1
本发明又提供了一个实施例,是一种特高压限制工频过电压和潜供电流的高抗设计方法,如图1所示,图1是本发明特高压空载线路的的电容效应图。The present invention provides another embodiment, which is a high-resistance design method for ultra-high voltage to limit power frequency overvoltage and submerged supply current, as shown in FIG. .
本发明一种特高压限制工频过电压和潜供电流的高抗设计方法,具体包括以下步骤:The present invention is a high-resistance design method for ultra-high voltage limiting power frequency overvoltage and potential supply current, which specifically includes the following steps:
步骤1.建立系统的基于电磁暂态仿真模型。
依据收集的系统参数,基于电磁暂态建模方法,建立特高压输变电线路的分布式模型、主变压器和特高压联网工程详细模型和区域电网电源和负荷的等值模型。According to the collected system parameters, based on the electromagnetic transient modeling method, the distributed model of UHV transmission and transformation lines, the detailed model of main transformer and UHV interconnection engineering, and the equivalent model of regional power supply and load are established.
收集的系统参数,包含局部同步电机主要参数、输电线路的主要参数。The collected system parameters include the main parameters of the local synchronous motor and the main parameters of the transmission line.
其中,局部同步电机主要参数包括:同步电机、主变压器、串联补偿、低压电抗器补偿、低压电容器补偿、断面负荷等系统参数。Among them, the main parameters of the local synchronous motor include: synchronous motor, main transformer, series compensation, low-voltage reactor compensation, low-voltage capacitor compensation, section load and other system parameters.
输电线路的主要参数包含:输电线路对地电容、相间电容,单位长度电感、电纳(电容)等主要线路参数。The main parameters of the transmission line include: transmission line-to-ground capacitance, phase-to-phase capacitance, inductance per unit length, susceptance (capacitance) and other main line parameters.
步骤2.确定特高压输电线路的空载长线路末端工频过电压;
通过单纯考虑线路的容升效应和计及电源电抗后空载线路容升效应进行对比,得出电源电抗相当于增加了线路长度,进而进一步增加了工频过电压,使谐振点提前。By simply considering the capacity rise effect of the line and comparing the capacity rise effect of the no-load line after considering the power supply reactance, it is concluded that the power supply reactance is equivalent to increasing the length of the line, which further increases the power frequency overvoltage and advances the resonance point.
对于长输电线路,当末端空载时,线路的入口阻抗为容性。当计及电源内阻抗(感性)的影响时,电容效应不仅使线路末端电压高于首端,而且使线路首、末端电压高于电源电动势,这是空载长线路的工频过电压产生的原因之一。For long transmission lines, when the terminals are unloaded, the line's inlet impedance is capacitive. When taking into account the influence of the internal impedance (inductive) of the power supply, the capacitive effect not only makes the voltage at the end of the line higher than the head end, but also makes the voltage at the head and end of the line higher than the power supply electromotive force, which is caused by the power frequency overvoltage of the long no-load line. one of the reasons.
确定特高压空载长线路末端工频过电压,长度为l的空载无损线路如图1所示,图1是本发明特高压空载线路的电容效应图。当末端电流可计算出首端电压末端电压及线路中某一点的电压为式(1):To determine the power frequency overvoltage at the end of the UHV no-load long line, the no-load lossless line of length l is shown in Figure 1, which is the capacitance effect diagram of the UHV no-load line of the present invention. When the terminal current The head-end voltage can be calculated terminal voltage and the voltage at a point in the line is formula (1):
式中:为波阻抗;为相位常数;x为离受端的距离,L0为单位长度电抗;C0为单位长度电容,l为线路长度。where: is the wave impedance; is the phase constant; x is the distance from the receiving end, L 0 is the reactance per unit length; C 0 is the capacitance per unit length, and l is the line length.
这里定义线路末端对首端的电压传递系数为式(2):Here, the voltage transfer coefficient from the end of the line to the head end is defined as formula (2):
式中:线路首端电压末端电压线路末端对首端的电压传递系数为K12。In the formula: line head voltage terminal voltage The voltage transfer coefficient from the end of the line to the head end is K 12 .
由式(2)可看出,线路上的电压自首端起逐渐上升,沿线按余弦曲线分布,线路末端电压达到最大值,如当βl=90°时,从线路首端看去,相当于发生串联谐振,K12→∞,此时线路长度即为工频空载长线路上的电压分布的0.25倍波长。同时,空载线路的电容电流在电源电抗上也会形成电压升高,使得线路首端的电压高于电源电动势,这进一步增加了工频过电压。It can be seen from equation (2) that the voltage on the line is from the head end It gradually rises from When the maximum value is reached, for example, when βl=90°, when viewed from the head end of the line, it is equivalent to series resonance, K 12 →∞, At this time, the line length is 0.25 times the wavelength of the voltage distribution on the long line with no-load power frequency. At the same time, the capacitive current of the no-load line will also form a voltage increase on the power supply reactance, so that the voltage at the head end of the line is higher than the power supply electromotive force, which further increases the power frequency overvoltage.
考虑电源电抗后,可得线路末端电压与电源电动势的关系可得出下式:After considering the reactance of the power supply, the relationship between the voltage at the end of the line and the electromotive force of the power supply can be obtained as follows:
上式中,为发电机电势,j为虚数符号,ZC为波阻抗,XS为电源电抗,线路首端电流为 In the above formula, is the generator potential, j is the imaginary number symbol, Z C is the wave impedance, X S is the power source reactance, and the current at the head end of the line is
令:将式(3)变型,可得线路末端电压与电源电动式的传递函数K02,如下式:make: By modifying the formula (3), the transfer function K 02 between the voltage at the end of the line and the electric power source can be obtained, as follows:
电源电抗Xs的影响通过角度表示出来,当时K02→∞,此时相当于电源电抗增加了线路长度,谐振点提前了,可以看出电源电抗也能增加工频电压倍数。The influence of the mains reactance X s through the angle expressed when When K 02 →∞, at this time It is equivalent to the increase of the line length of the power supply reactance and the advance of the resonance point. It can be seen that the power supply reactance can also increase the power frequency voltage multiple.
这里线路末端电压对电源电动式的传递函数可表达成:Here, the transfer function of the voltage at the end of the line to the electromotive force of the power supply can be expressed as:
式(5)中:为波阻抗;为相位常数。In formula (5): is the wave impedance; is the phase constant.
为便于分析,下面通过一个案例进行计算,某发电厂机取2台1000MW机组、通过2台容量为1120MVA的27/1000kV升压变压器接入系统母线。这里采用2回特高压线路接入系统。For the convenience of analysis, the following calculation is carried out through a case. A power plant takes two 1000MW units and connects to the system bus through two 27/1000kV step-up transformers with a capacity of 1120MVA. The 2-circuit UHV line is used here to access the system.
几个设备的主要计算参数,取100MVA为基值,每台机组X'd值为0.024,每台27/1000kV升压变压器为XT1为0.014,单回特高压线路波阻抗Zc为0.025,β为0.001。计算结果如表1所示。The main calculation parameters of several equipments take 100MVA as the base value, the X' d value of each unit is 0.024, the X T1 of each 27/1000kV step-up transformer is 0.014, the single-circuit UHV line wave impedance Z c is 0.025, β is 0.001. The calculation results are shown in Table 1.
表1空载长线路产生的过电压计算结果Table 1 Calculation results of overvoltage generated by no-load long lines
步骤3.求取线路甩负荷造成的工频电压升高。Step 3. Find the rise in power frequency voltage caused by line load shedding.
当输电线路重负荷运行时,由于某种原因线路末端断路器突然跳闸甩掉负荷,造成工频电压升高,通常称为甩负荷效应。When the transmission line is running under heavy load, the circuit breaker at the end of the line suddenly trips and throws off the load for some reason, causing the power frequency voltage to rise, which is usually called the load rejection effect.
设系统正常运行时线路首端电压为线路首端电流功率因数为则传输的有功功率无功功率若电源电抗Xs,则发电电动式E为:When the system is in normal operation, the voltage at the head end of the line is Line head current The power factor is then the transmitted active power reactive power If the power source reactance X s , the generator electric formula E is:
上式中,为线路首端电压。In the above formula, is the line head voltage.
甩负荷前,若线路上输送相当大的有功及感性无功功率,电源发电电动势E必然高于线路首端电压值U1,E>U1。根据案例中参数计算可得出线路的过电压倍数,计算结果如表2所示。Before load shedding, if a considerable amount of active and inductive reactive power is transmitted on the line, the power generation electromotive force E must be higher than the voltage value U 1 at the head end of the line, E>U 1 . According to the parameter calculation in the case, the overvoltage multiple of the line can be obtained, and the calculation results are shown in Table 2.
表2线路甩负荷后产生的过电压倍数Table 2 Overvoltage multiples generated after line load shedding
甩负荷后,根据磁链不变原理,可简单认为电源暂态电动势不变,电源暂态电动势E′d≈E,E为发电电动式。由于线路末端断路器分闸,形成电源带空载长线的运行方式。末端甩负荷后,计及长线的电容效应对工频电压升高的影响如式(6)所示,则线路首端电压将高于电源电动势,而长线路末端过电压更为严重。根据参数可算出线路的过电压倍数,计算结果如表2所示。After load shedding, according to the principle of constant flux linkage, it can be simply considered that the transient electromotive force of the power supply remains unchanged, and the transient electromotive force of the power supply E′ d ≈ E, E is a generator-electric type. Since the circuit breaker at the end of the line is opened, the operation mode of the power supply with no-load long line is formed. After the load shedding at the end, taking into account the influence of the capacitive effect of the long line on the rise of the power frequency voltage, as shown in equation (6), the voltage at the beginning of the line will be higher than the power supply electromotive force, and the overvoltage at the end of the long line is more serious. According to the parameters, the overvoltage multiple of the line can be calculated, and the calculation results are shown in Table 2.
步骤4.确定特高压线路单相短路导致工频过电压。Step 4. Determine the power frequency overvoltage caused by the single-phase short circuit of the UHV line.
不对称短路是输电线路最常见的故障模式,短路电流的零序分量会使健全相出现工频电压升高,常称为不对称效应。系统中不对称短路故障,以单相接地故障最为常见,当线路一端跳闸甩负荷后,由于故障仍然存在,可能进一步增加工频过电压。通过计算分析和提取典型的特高压工程零序与正序电抗之比。求得典型特高压输电线路的单相短路工频过电压。Asymmetric short-circuit is the most common failure mode of transmission lines. The zero-sequence component of short-circuit current will increase the power frequency voltage of the sound phase, which is often called asymmetric effect. Asymmetric short-circuit faults in the system, single-phase grounding faults are the most common. When one end of the line trips and sheds the load, the fault still exists, which may further increase the power frequency overvoltage. The ratio of zero-sequence and positive-sequence reactance of typical UHV engineering is analyzed and extracted by calculation. Obtain the single-phase short-circuit power frequency overvoltage of a typical UHV transmission line.
假设系统中A相发生单相接地故障,其边界条件则有:Assuming that a single-phase-to-ground fault occurs in phase A in the system, its boundary conditions Then there are:
式中为故障点处电压的正序、负序、零序分量;为故障处电流的正序、负序、零序分量。in the formula are the positive sequence, negative sequence and zero sequence components of the voltage at the fault point; It is the positive sequence, negative sequence and zero sequence components of the current at the fault.
根据假设的边界条件,形成单相接地时的复合序网,如图2所示,由该序网可以得出序电流和健全相电压。According to the assumed boundary conditions, a composite sequence network is formed when a single phase is grounded, as shown in Figure 2, from which the sequence current and sound phase voltage can be obtained.
式中a=ej120°;Z1、Z2、Z0为由故障点看进去的网络正序、负序、零序阻抗,为电网B相电压,为电网C相电压,为电源A相电动势。where a=e j120° ; Z 1 , Z 2 , and Z 0 are the positive-sequence, negative-sequence, and zero-sequence impedances of the network viewed from the fault point, is the phase B voltage of the grid, is the phase C voltage of the grid, For the power supply phase A electromotive force.
以K(1)表示单相接地故障后健全相电压升高,式(5)可简化为:Taking K (1) to represent the rise of the sound phase voltage after a single-phase ground fault, equation (5) can be simplified as:
上式中,为电网健全相电压。In the above formula, Sound phase voltage for the grid.
其中:in:
上式中,Z1、Z2、Z0为由故障点看进去的网络正序、负序、零序阻抗,对于系统输送容量较大的特高压输电系统一般有Z1≈Z2,忽略各序阻抗电阻分量,可简化为:In the above formula, Z 1 , Z 2 , and Z 0 are the positive-sequence, negative-sequence, and zero-sequence impedances of the network viewed from the fault point. For UHV transmission systems with large transmission capacity, Z 1 ≈ Z 2 , ignoring The resistance components of each sequence impedance can be simplified as:
上式中:X0为零序电抗,X1为正序电抗。In the above formula: X 0 is zero-sequence reactance, and X 1 is positive-sequence reactance.
由上式可知,这类工频过电压与由故障点看进去的X0/X1(零序与正序电抗之比)有很大关系。X0/X1增加将使单相接地故障甩负荷过电压有增大趋势。It can be seen from the above formula that this type of power frequency overvoltage has a great relationship with X 0 /X 1 (the ratio of zero sequence and positive sequence reactance) seen from the fault point. The increase of X 0 /X 1 will make the single-phase ground fault load rejection overvoltage tend to increase.
典型特高压输电线路的取X0/X1=2.6。则可求出K(1)和U:Take X 0 /X 1 =2.6 for a typical UHV transmission line. Then K (1) and U can be found:
U=1.21EU=1.21E
上式中:E为电源电势,U为电压。In the above formula: E is the power supply potential, and U is the voltage.
通过计算可以得出典型特高压单相故障时线路过电压倍数为1.21。Through the calculation, it can be concluded that the line overvoltage multiple is 1.21 when the typical UHV single-phase fault occurs.
步骤5.确定特高压线路高抗数值。Step 5. Determine the high reactance value of the UHV line.
具体是,根据三种情况的工频过电压,同时结合典型工程的无功补偿,综合确定特高压线路高抗数值。Specifically, according to the power frequency overvoltage of the three cases, combined with the reactive power compensation of the typical project, the high reactance value of the UHV line is comprehensively determined.
如图4所示,图4是本发明特高压长线路的等值电路图。所述特高压输电线路沿线电压和电流的无损长线路方程为:As shown in FIG. 4, FIG. 4 is an equivalent circuit diagram of the UHV long line of the present invention. The lossless long line equation of the voltage and current along the UHV transmission line is:
式中:为波阻抗;为相位常数;x为离受端的距离,x0为单位长度电抗;b0为单位长度电纳,线路中某一点的电压为电流为受端电压为电流为为序数符号为j,sinβx为正弦函数,cosβx为余弦函数。where: is the wave impedance; is the phase constant; x is the distance from the receiving end, x 0 is the reactance per unit length; b 0 is the susceptance per unit length, and the voltage at a certain point in the line is current is The receiving terminal voltage is current is The ordinal symbol is j, sinβx is a sine function, and cosβx is a cosine function.
以受端电压为基准,若受端传输功率为:at the receiving terminal voltage As the benchmark, if the transmission power of the receiving end is:
Sr=Pr+jQr (13)S r =P r +jQ r (13)
上式中:Sr为受端传输功率,Pr为有功功率,Qr为无功功率,j为虚数符号。In the above formula: S r is the transmission power of the receiving end, P r is the active power, Q r is the reactive power, and j is the imaginary number symbol.
则式(12)的表达形式可化为:Then the expression form of formula (12) can be transformed into:
如图4所示,长度为l的线路产生的充电无功,用单位长度电纳b0的充电功率积分形式表示:As shown in Figure 4, the charging reactive power generated by the line of length l is expressed in the form of the charging power integral of the susceptance b 0 per unit length:
上式中:QC为长线路充电功率,为x点电压共轭,b0为单位电纳,ZC为波阻抗,d为微分运算符号,x为线路某点长度,为线路中某一点的电压。In the above formula: Q C is the long-line charging power, is the voltage conjugate at point x, b 0 is the unit susceptance, Z C is the wave impedance, d is the differential operation symbol, x is the length of a certain point of the line, is the voltage at a point in the line.
结合式(13)中的电压方程,长线路充电功率QC为:Combined with the voltage equation in equation (13), the long-line charging power QC is:
上式中,Pr为有功功率,Qr为无功功率。In the above formula, P r is the active power, and Q r is the reactive power.
通过式(16)可看出,线路充电无功功率与线路传输功率,线路长度和单位电抗和电纳有关。在功率传输过程中高抗设计主要依据长线的充电功率Qc,Qc会随着有功功率略有增加,但是线路的电容起主要作用。同时高抗设计满足抑制负荷轻载情况下最高电压,所以轻载线路参数作为高抗取值的控制条件。式(16)可简化为:It can be seen from equation (16) that the line charging reactive power is related to the line transmission power, line length and unit reactance and susceptance. In the process of power transmission, the high-resistance design is mainly based on the charging power Q c of the long line. Q c will increase slightly with the active power, but the capacitance of the line plays a major role. At the same time, the high-resistance design satisfies the suppression of the highest voltage under light load conditions, so the light-load line parameters are used as the control conditions for the high-resistance value. Equation (16) can be simplified as:
上式中:Qc为长线路充电无功功率,Ue为系统额定相电压;In the above formula: Q c is the charging reactive power of the long line, U e is the rated phase voltage of the system;
取Ue为1000kV,取单位长度的线路电容C0为0.01378uF/km。计算线路的充电无功功率为下表3所示。Take U e as 1000kV, and take the line capacitance C 0 per unit length as 0.01378uF/km. The charging reactive power of the calculation line is shown in Table 3 below.
表3特高压线路产生无功功率结算结果Table 3 The settlement results of reactive power generated by UHV lines
高抗设计由下式决定:The high resistance design is determined by the following formula:
上式中,QL为高抗补偿容量,Qc为长线路充电无功功率,B为补偿系数。In the above formula, Q L is the high resistance compensation capacity, Q c is the charging reactive power of the long line, and B is the compensation coefficient.
在特高压电网建设初期高抗的补偿度控制在80%-90%,这里B取值为90%,则计算出高抗值为下表4所示。In the initial stage of UHV power grid construction, the compensation degree of high reactance is controlled at 80%-90%. Here, the value of B is 90%, and the calculated high reactance value is shown in Table 4 below.
表4补偿高抗的计算结果Table 4 Compensation results of high resistance
步骤6.确定高压并联电抗器中性点电抗的设计。Step 6. Determine the design of the neutral point reactance of the high-voltage shunt reactor.
我国特高压输电线路一般都采用单相重合闸,以提高系统运行的稳定水平,另外单相重合闸的过电压也比三相重合闸低得多。特高压线路也拟采用单相重合闸。为了提高单相重合闸成功率,必须考虑线路重合闸过程的潜供电流和恢复电压问题。my country's UHV transmission lines generally use single-phase reclosing to improve the stability of system operation. In addition, the overvoltage of single-phase reclosing is much lower than that of three-phase reclosing. UHV lines are also intended to use single-phase reclosing. In order to improve the success rate of single-phase reclosing, the problem of submerged supply current and recovery voltage in the process of line reclosing must be considered.
如图3所示,图3是本发明潜供电流示意图。As shown in FIG. 3 , FIG. 3 is a schematic diagram of the submerged current supply of the present invention.
当线路发生单相(A相)接地故障时,故障相两端断路器跳闸后,其他两相(B,C相)仍在运行,且保持工作电压。由于相间电容C12和相间互感M的作用,故障点仍流过一定的电流即为潜供电流,其电弧称之为潜供电弧。When a single-phase (A-phase) ground fault occurs in the line, after the circuit breaker at both ends of the faulted phase trips, the other two phases (B, C-phase) are still running and maintain the working voltage. Due to the action of the phase-to-phase capacitance C12 and the phase-to-phase mutual inductance M, a certain current still flows through the fault point That is the submerged supply current, and its arc is called submerged arc.
所述潜供电流由两部分组成,分别为电容分量和电感分量(也称横分量和纵分量)。The submerged supply current is composed of two parts, namely, a capacitive component and an inductive component (also referred to as a transverse component and a longitudinal component).
其中,电容分量是指正常相的电压通过相间电容C12向故障点提供的电流。同时,正常相上的负载电流经相间互感在故障相上感应出电动势,这个电动势通过相对地电容及高抗形成的回路,向故障点提供电流,在大部分无补偿情况下电容分量起主要作用。Among them, the capacitance component refers to the current provided by the voltage of the normal phase to the fault point through the phase-to-phase capacitance C12. At the same time, the load current on the normal phase induces an electromotive force on the faulty phase through the phase-to-phase mutual inductance. This electromotive force provides current to the fault point through the loop formed by the relative-to-ground capacitance and high reactance. In most cases without compensation, the capacitive component plays a major role. .
其中,电感分量是指正常相上的负载电流经相间互感在故障相上感应出电动势,这个电动势通过相对地电容及高抗形成的回路,向故障点提供电流。Among them, the inductive component means that the load current on the normal phase induces an electromotive force on the faulty phase through the mutual inductance between the phases. This electromotive force provides current to the fault point through the loop formed by the relative ground capacitance and high reactance.
为了提高单相自动重合闸的成功率,潜供电流和恢复电压都应限制在较小值。线路的潜供电流和恢复电压与输电线路的参数、线路的补偿情况和线路两端的运行电压、输送潮流有关,线路两侧的网络结构对其影响很小。当潜供电流较大和恢复电压较高时,就要采取一些措施,加快潜供电弧的熄灭。In order to improve the success rate of single-phase automatic reclosing, both the submerged supply current and the recovery voltage should be limited to small values. The submerged supply current and recovery voltage of the line are related to the parameters of the transmission line, the compensation of the line, the operating voltage and transmission flow at both ends of the line, and the network structure on both sides of the line has little influence on it. When the submerged supply current is large and the recovery voltage is high, some measures must be taken to speed up the extinguishment of the submerged supply arc.
为了限制潜供电流及其恢复电压,利用加装高压并联电抗器中性点电抗的方法,减小潜供电流和恢复电压。高压并联电抗器中性点电抗又称小电抗,In order to limit the submerged supply current and its recovery voltage, the method of adding a neutral point reactance of a high-voltage shunt reactor is used to reduce the submerged supply current and recovery voltage. The neutral point reactance of high-voltage shunt reactor is also called small reactance.
下面按加速潜供电弧熄灭和抑制谐振过电压的要求两个维度,通过确定的线间容抗和高抗数值计算出高压并联电抗器中性点电抗的数值。Next, according to the two dimensions of accelerating submerged arc extinguishing and suppressing resonance overvoltage, the value of neutral point reactance of high-voltage shunt reactor is calculated through the determined values of capacitive reactance and high reactance between lines.
(1)按加速潜供电弧熄灭的要求选择小电抗。(1) Select small reactance according to the requirement of accelerating submerged arc extinguishing.
特高压线路常采用单相重合闸作为提高动稳定的措施。但在发生单相接地故障时,由于线路的电容耦合和互感耦合,接地点的潜供电流难以自熄,降低了单相重合闸的成功率。在并联电抗器中性点连接小电抗后,可以补偿相间电容,并部分地补偿互感分量,降低潜供电流的幅值。当小电抗中附加小电阻后,还可以改变相位,从而加速潜供电弧的熄灭。小电抗的最佳补偿与系统参数、并联电抗器的补偿度、安装位置和故障方式有关。工程设计应由系统专业对各种方案进行潜供电电流和恢复电压计算,选择最佳电抗值。潜供电流应小于(15~20)A。UHV lines often use single-phase reclosing as a measure to improve dynamic stability. However, when a single-phase grounding fault occurs, due to the capacitive coupling and mutual inductance coupling of the line, the submerged supply current at the grounding point is difficult to self-extinguish, which reduces the success rate of single-phase reclosing. After connecting the small reactance at the neutral point of the shunt reactor, the interphase capacitance can be compensated, and the mutual inductance component can be partially compensated to reduce the amplitude of the submerged supply current. When a small resistance is added to the small reactance, the phase can also be changed, thereby accelerating the extinguishing of the submerged arc. The optimal compensation of small reactance is related to system parameters, compensation degree of shunt reactor, installation position and failure mode. In engineering design, the system professional should calculate the submerged supply current and recovery voltage for various schemes, and select the best reactance value. The submerged supply current should be less than (15~20)A.
单从补偿相间电容的角度出发可按式(19)对小电抗值进行近似估算:From the perspective of compensating the phase-to-phase capacitance alone, the small reactance value can be approximated according to equation (19):
式中:X0中性点小电抗的电抗值,XL并联电抗器的正序电抗值,X12线路的相间容抗值。In the formula: the reactance value of the neutral point small reactance of X 0 , the positive sequence reactance value of the X L shunt reactor, and the phase-to-phase capacitive reactance value of the X 12 line.
(2)按抑制谐振过电压的要求选择小电抗。(2) Select small reactance according to the requirement of suppressing resonance overvoltage.
为抑制工频传递谐振过电压,中性点小电抗可按式(20)计算:In order to suppress the power frequency transfer resonance overvoltage, the small reactance of the neutral point can be calculated according to the formula (20):
式中:XL0并联电抗器的零序电抗值,对单相电抗器,XL0=XL;对三相三柱式电抗器,XL0=XL/2。In the formula: the zero-sequence reactance value of the XL0 shunt reactor, for a single-phase reactor, XL0 = XL ; for a three-phase three-column reactor, XL0 = XL /2.
特高压线路高抗补偿一般采用单相电抗器,则式(19)和(20)相同,C0取特高压线路零序电容为0.00852uF/km,特高压线路正序电容C1为0.01378uF/km,则相间容抗C12可用下式(21)求得。The high reactance compensation of UHV line generally adopts single-phase reactor, then formulas (19) and (20) are the same, C0 takes the zero-sequence capacitance of the UHV line as 0.00852uF/km, and the positive sequence capacitor C1 of the UHV line is 0.01378uF /km, then the interphase capacitive reactance C 12 can be obtained by the following formula (21).
根据表4和线路的电容参数可求出中性点小电抗器值如下表所示。According to Table 4 and the capacitance parameters of the line, the value of the neutral point small reactor can be obtained as shown in the following table.
表5补偿高抗中性点小电抗的计算结果Table 5 Calculation results of compensation for high neutral point small reactance
通过以上计算结果以看出,300km线路一端高抗补偿取值为584Mvar,单侧高抗小电抗器取值为420Ω较为合适。It can be seen from the above calculation results that the high reactance compensation value at one end of the 300km line is 584Mvar, and the one-side high reactance small reactor value is 420Ω.
上述步骤中,通过分析长线容升效应、线路甩负荷、以及线路单相接地故障情况下,同时考虑线路的无功补偿等因素,计算出并联高抗值。根据确定的高抗值及线路参数确定最终的中性点小电抗值。通过一系列的措施为特高压电网中工频过电压及其对电网设备的影响提供了基础技术支撑。In the above steps, the parallel high reactance value is calculated by analyzing the long-line capacity lift effect, the line load shedding, and the single-phase grounding fault of the line, and considering the reactive power compensation of the line and other factors at the same time. Determine the final neutral point small reactance value according to the determined high reactance value and line parameters. Through a series of measures, it provides basic technical support for power frequency overvoltage in UHV power grid and its impact on power grid equipment.
本发明实施例提供的特高压并联电抗器以及高抗中性点小电抗取值方法严格遵循电路及磁路定律,计算中认为三相的激磁阻抗相同,故所有推导均是从缺相过电压与额定电压幅值接近这一前提出发,计算选取电抗器和中性点小电抗值反过来又要使得这一前提成立。该计算方法简单实用,能够容易地用于工程实践之中。The ultra-high voltage shunt reactor and the method for selecting the value of the high-resistance neutral point and small reactance provided by the embodiment of the present invention strictly follow the laws of circuits and magnetic circuits. In the calculation, it is considered that the excitation impedances of the three phases are the same, so all derivations are based on the lack of phase overvoltage Starting from the premise that the amplitude of the rated voltage is close to the premise, the calculation and selection of the reactor and the small reactance value of the neutral point in turn make this premise true. The calculation method is simple and practical, and can be easily used in engineering practice.
实施例2Example 2
基于同一发明构思,本发明实施例还提供了一种计算机存储介质,所述计算机存储介质上存有计算机程序,所述计算机程序被处理器执行时实现实施例1或2所述的一种特高压限制工频过电压和潜供电流的高抗设计方法的步骤。Based on the same inventive concept, an embodiment of the present invention further provides a computer storage medium, where a computer program is stored on the computer storage medium, and when the computer program is executed by a processor, one of the features described in
本领域内的技术人员应明白,本申请的实施例可提供为方法、系统、或计算机程序产品。因此,本申请可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本申请可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。As will be appreciated by those skilled in the art, the embodiments of the present application may be provided as a method, a system, or a computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein.
本申请是参照根据本申请实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the present application. It will be understood that each process and/or block in the flowchart illustrations and/or block diagrams, and combinations of processes and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to the processor of a general purpose computer, special purpose computer, embedded processor or other programmable data processing device to produce a machine such that the instructions executed by the processor of the computer or other programmable data processing device produce Means for implementing the functions specified in a flow or flow of a flowchart and/or a block or blocks of a block diagram.
这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory result in an article of manufacture comprising instruction means, the instructions The apparatus implements the functions specified in the flow or flow of the flowcharts and/or the block or blocks of the block diagrams.
这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。These computer program instructions can also be loaded on a computer or other programmable data processing device to cause a series of operational steps to be performed on the computer or other programmable device to produce a computer-implemented process such that The instructions provide steps for implementing the functions specified in the flow or blocks of the flowcharts and/or the block or blocks of the block diagrams.
最后应当说明的是:以上实施例仅用以说明本发明的技术方案而非对其限制,尽管参照上述实施例对本发明进行了详细的说明,所属领域的普通技术人员应当理解:依然可以对本发明的具体实施方式进行修改或者等同替换,而未脱离本发明精神和范围的任何修改或者等同替换,其均应涵盖在本发明的权利要求保护范围之内。Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and not to limit them. Although the present invention has been described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that: the present invention can still be Modifications or equivalent replacements are made to the specific embodiments of the present invention, and any modifications or equivalent replacements that do not depart from the spirit and scope of the present invention shall be included within the protection scope of the claims of the present invention.
Claims (10)
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202111476121.XA CN114362198A (en) | 2021-12-06 | 2021-12-06 | High-impedance design method for extra-high voltage limited power frequency overvoltage and secondary arc current |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202111476121.XA CN114362198A (en) | 2021-12-06 | 2021-12-06 | High-impedance design method for extra-high voltage limited power frequency overvoltage and secondary arc current |
Publications (1)
Publication Number | Publication Date |
---|---|
CN114362198A true CN114362198A (en) | 2022-04-15 |
Family
ID=81097365
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN202111476121.XA Pending CN114362198A (en) | 2021-12-06 | 2021-12-06 | High-impedance design method for extra-high voltage limited power frequency overvoltage and secondary arc current |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN114362198A (en) |
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN114784805A (en) * | 2022-06-20 | 2022-07-22 | 中国科学院合肥物质科学研究院 | Load shedding overvoltage suppression method for power supply system |
CN118472951A (en) * | 2024-07-12 | 2024-08-09 | 安徽沃华电力设备有限公司 | Low-voltage self-healing type high-capacity voltage limiting system |
CN119199263A (en) * | 2024-09-27 | 2024-12-27 | 国家电网有限公司 | Phase measurement method considering the influence of no-charge current of ultra-high voltage line on adjacent lines |
Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103746363A (en) * | 2013-12-20 | 2014-04-23 | 国家电网公司 | Ultra/extra-high voltage power transmission line secondary arc suppression circuit and method thereof |
CN105207203A (en) * | 2015-09-15 | 2015-12-30 | 国家电网公司 | High-voltage shunt reactor compensation method for typical ultrahigh voltage transmission line |
-
2021
- 2021-12-06 CN CN202111476121.XA patent/CN114362198A/en active Pending
Patent Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103746363A (en) * | 2013-12-20 | 2014-04-23 | 国家电网公司 | Ultra/extra-high voltage power transmission line secondary arc suppression circuit and method thereof |
CN105207203A (en) * | 2015-09-15 | 2015-12-30 | 国家电网公司 | High-voltage shunt reactor compensation method for typical ultrahigh voltage transmission line |
Non-Patent Citations (2)
Title |
---|
王国平等: "《集宁东500kV输变电工程工频过电压仿真计算分析》", 《智能电网》, vol. 2, no. 12, 10 December 2014 (2014-12-10), pages 42 - 50 * |
项丽等: "《超高压电网工频谐振过电压、潜供电流研究》", 《宁夏电力》, no. 1, 28 June 2008 (2008-06-28), pages 1 - 10 * |
Cited By (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN114784805A (en) * | 2022-06-20 | 2022-07-22 | 中国科学院合肥物质科学研究院 | Load shedding overvoltage suppression method for power supply system |
CN118472951A (en) * | 2024-07-12 | 2024-08-09 | 安徽沃华电力设备有限公司 | Low-voltage self-healing type high-capacity voltage limiting system |
CN119199263A (en) * | 2024-09-27 | 2024-12-27 | 国家电网有限公司 | Phase measurement method considering the influence of no-charge current of ultra-high voltage line on adjacent lines |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN114362198A (en) | High-impedance design method for extra-high voltage limited power frequency overvoltage and secondary arc current | |
CN105207203B (en) | A kind of UHV transmission line highly resistance compensation method | |
Albadi et al. | Unbalance in power systems: Case study | |
CN111262251B (en) | An Analysis Method of Voltage Drop in Fully Compensated System | |
CN106384995B (en) | A kind of differential protection blocking method and device | |
CN113949319A (en) | A kind of generator stator single-phase grounding fault arc suppression method and system | |
CN104281736A (en) | Power supply cable type selecting method for urban track traffic traction power supply and distribution system | |
CN103730890B (en) | A kind of suppression does not replace the method for Ultra/extra-high voltage power transmission line secondary stream | |
CN106099979B (en) | A kind of unit under-excitation ability analysis method for considering stabilization of power grids limitation | |
Xie et al. | Anti-interference adaptive single-phase auto-reclosing schemes based on reactive power characteristics for transmission lines with shunt reactors | |
CN102931640A (en) | Zero-sequence differential protection method of transformer | |
CN116154739A (en) | Method for completely inhibiting voltage of single-phase ground fault point of electric collecting line of wind power plant | |
CN103427427A (en) | Power grid source steady state voltage regulating optimization method for improving transient voltage support capability of power grid | |
CN103166237B (en) | Weak tie receiving end small electric grid tie line high resistance compensation method | |
CN111740427B (en) | A reactive power compensation configuration method and system for an offshore wind farm access system | |
CN205141653U (en) | Arc extinction device that filtering formula dynamic reactive compensation adjusted | |
Chen et al. | Analysis of single-phase grounding fault with distributed generation in distribution network | |
ZhuoLin et al. | Analysis of Single-phase Grounding Fault with Distributed Generation in Distribution Network | |
CN107959276A (en) | A kind of adaptive reclosing method of single loop line | |
CN114696304A (en) | A single-ended protection method for AC transmission lines based on UPFC boundary | |
CN113447803A (en) | Short-circuit current calculation voltage coefficient value taking method for checking on-off capacity of circuit breaker | |
CN112487619B (en) | Method and system for rapidly acquiring neutral point overvoltage of three-winding autotransformer | |
CN105826940A (en) | Three-phase unbalanced compensation point positioning method for low-voltage power distribution network | |
CN112865119A (en) | Capacitive reactive high-voltage parallel reactor compensation station for balancing 330kV long-distance cable transmission | |
CN104967107A (en) | A Method of Suppressing Intermittent Arcing Ground Overvoltage |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PB01 | Publication | ||
PB01 | Publication | ||
SE01 | Entry into force of request for substantive examination | ||
SE01 | Entry into force of request for substantive examination |