CN108646156B - A method for judging the insulation state in GIS - Google Patents
A method for judging the insulation state in GIS Download PDFInfo
- Publication number
- CN108646156B CN108646156B CN201810821546.1A CN201810821546A CN108646156B CN 108646156 B CN108646156 B CN 108646156B CN 201810821546 A CN201810821546 A CN 201810821546A CN 108646156 B CN108646156 B CN 108646156B
- Authority
- CN
- China
- Prior art keywords
- electric field
- gis
- insulation
- formula
- field strength
- 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.)
- Active
Links
- 238000009413 insulation Methods 0.000 title claims abstract description 54
- 238000000034 method Methods 0.000 title claims abstract description 23
- 230000005684 electric field Effects 0.000 claims abstract description 56
- 230000015556 catabolic process Effects 0.000 claims abstract description 48
- 230000008878 coupling Effects 0.000 claims abstract description 4
- 238000010168 coupling process Methods 0.000 claims abstract description 4
- 238000005859 coupling reaction Methods 0.000 claims abstract description 4
- 239000004020 conductor Substances 0.000 claims description 25
- 238000004364 calculation method Methods 0.000 claims description 24
- 238000009421 internal insulation Methods 0.000 claims description 11
- 239000002245 particle Substances 0.000 claims description 9
- 230000020169 heat generation Effects 0.000 claims description 6
- 230000001052 transient effect Effects 0.000 claims description 5
- NAWXUBYGYWOOIX-SFHVURJKSA-N (2s)-2-[[4-[2-(2,4-diaminoquinazolin-6-yl)ethyl]benzoyl]amino]-4-methylidenepentanedioic acid Chemical compound C1=CC2=NC(N)=NC(N)=C2C=C1CCC1=CC=C(C(=O)N[C@@H](CC(=C)C(O)=O)C(O)=O)C=C1 NAWXUBYGYWOOIX-SFHVURJKSA-N 0.000 claims description 3
- 230000008859 change Effects 0.000 claims description 3
- 238000006243 chemical reaction Methods 0.000 claims description 3
- 238000009795 derivation Methods 0.000 claims description 3
- 238000006073 displacement reaction Methods 0.000 claims description 3
- 230000005672 electromagnetic field Effects 0.000 claims description 3
- 238000004134 energy conservation Methods 0.000 claims description 3
- 238000002474 experimental method Methods 0.000 claims description 3
- 230000006698 induction Effects 0.000 claims description 3
- 238000005192 partition Methods 0.000 claims description 3
- 230000035699 permeability Effects 0.000 claims description 3
- 238000004088 simulation Methods 0.000 claims description 3
- 230000003746 surface roughness Effects 0.000 claims description 3
- 230000002277 temperature effect Effects 0.000 claims description 3
- 238000012546 transfer Methods 0.000 description 16
- 229910018503 SF6 Inorganic materials 0.000 description 9
- SFZCNBIFKDRMGX-UHFFFAOYSA-N sulfur hexafluoride Chemical compound FS(F)(F)(F)(F)F SFZCNBIFKDRMGX-UHFFFAOYSA-N 0.000 description 9
- 230000004907 flux Effects 0.000 description 6
- 238000013461 design Methods 0.000 description 5
- 230000002500 effect on skin Effects 0.000 description 4
- 230000005855 radiation Effects 0.000 description 4
- 238000010438 heat treatment Methods 0.000 description 3
- 230000007774 longterm Effects 0.000 description 3
- 230000009471 action Effects 0.000 description 2
- 230000007423 decrease Effects 0.000 description 2
- 230000005686 electrostatic field Effects 0.000 description 2
- 239000012530 fluid Substances 0.000 description 2
- 230000017525 heat dissipation Effects 0.000 description 2
- 238000011160 research Methods 0.000 description 2
- 230000002159 abnormal effect Effects 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000011900 installation process Methods 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 230000008569 process Effects 0.000 description 1
- 229960000909 sulfur hexafluoride Drugs 0.000 description 1
Images
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/12—Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing
- G01R31/1227—Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing of components, parts or materials
- G01R31/1254—Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing of components, parts or materials of gas-insulated power appliances or vacuum gaps
Landscapes
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Testing Relating To Insulation (AREA)
- Management, Administration, Business Operations System, And Electronic Commerce (AREA)
Abstract
Description
技术领域technical field
本发明涉及高压绝缘技术领域,更具体地说,涉及一种GIS内绝缘状态的判断方法。The invention relates to the technical field of high-voltage insulation, and more particularly, to a method for judging the insulation state in a GIS.
背景技术Background technique
六氟化硫气体绝缘全封闭配电装置简称GIS,在GIS设备的各种故障类型中,绝缘故障发生概率比较多,约占总故障的51%。当GIS设备发生绝缘故障时,对电网的稳定运行造成巨大的危害。发生绝缘故障的根本原因在于现有的GIS母线主导体设计存在着缺陷。当前GIS内绝缘设计的依据为:1、计算不同结构下母线的电场分布是否达到绝缘要求;2、计算设备温升是否超过运行允许条件。GIS内绝缘设计时没有充分考虑主导体(GIS母线)温升使SF6流动造成内部SF6气体分布不均,进而引起局部位置绝缘水平远低于平均值的情况。在施加电场时就会造成SF6气体密度较低部位的绝缘强度不足而产生气体击穿。The sulfur hexafluoride gas-insulated fully enclosed power distribution device is referred to as GIS for short. Among the various fault types of GIS equipment, the probability of insulation faults is relatively high, accounting for about 51% of the total faults. When the insulation failure of GIS equipment occurs, it will cause great harm to the stable operation of the power grid. The fundamental reason for the occurrence of insulation failure is the defect in the design of the main conductor of the existing GIS busbar. The current GIS internal insulation design is based on: 1. Calculate whether the electric field distribution of the busbar under different structures meets the insulation requirements; 2. Calculate whether the temperature rise of the equipment exceeds the allowable operating conditions. In the design of GIS internal insulation, the temperature rise of the main conductor (GIS busbar) has not been fully considered, causing SF 6 to flow and cause uneven distribution of internal SF 6 gas, which in turn causes the insulation level at local locations to be much lower than the average. When the electric field is applied, the dielectric strength of the lower part of the SF 6 gas density will be insufficient and the gas breakdown will occur.
目前,在电力设备的设计和研究中,需要确定设备的绝缘强度时多从局部放电考虑,常用经验公式或者单一物理场进行研究,很少考虑SF6气体流动给GIS内绝缘带来的影响,无法准确对GIS内绝缘水平进行判断。At present, in the design and research of power equipment, partial discharge is often considered when determining the insulation strength of the equipment. Empirical formulas or a single physical field are often used for research, and the influence of SF 6 gas flow on the internal insulation of GIS is rarely considered. It is impossible to accurately judge the insulation level in the GIS.
发明内容SUMMARY OF THE INVENTION
本发明所要解决的技术问题是,提出一种GIS内绝缘状态的判断方法。长期通流SF6气体条件下,母线发热会影响SF6气体密度的分布,使得GIS内部绝缘强度分布不均,存在绝缘薄弱区域,因此,本发明基于长期通流条件下SF6气体分布不均提出一种GIS内绝缘的判断方法。The technical problem to be solved by the present invention is to propose a method for judging the insulation state in the GIS. Under the condition of long-term flow of SF 6 gas, the heating of the bus will affect the distribution of SF 6 gas density, resulting in uneven distribution of insulation strength inside the GIS, and there are areas with weak insulation. Therefore, the present invention is based on the uneven distribution of SF 6 gas under long-term flow conditions. A method for judging the internal insulation of GIS is proposed.
本发明的目的是通过以下技术方案来实现的:设计一种GIS内绝缘状态的判断方法,该方法包括以下步骤:The purpose of the present invention is to be achieved through the following technical solutions: design a method for judging the insulation state in a GIS, and the method comprises the following steps:
Step1,计算临界击穿电场。Step1, calculate the critical breakdown electric field.
在步骤Step1,采用Saha电离平衡方程求解介质击穿场强,如公式(1)所述,In
其中,ne、nr和nr+1为相应的电子密度和粒子密度,Zr和Zr+1为粒子的配分函数,k、h和me为玻耳兹曼常数、普朗克常数和电子质量,EΙ,r+1为发生(r+1)阶电离反应所需的电离能,Te、Th分别为电子的温度和重粒子的温度。Among them, n e , n r and n r+1 are the corresponding electron density and particle density, Z r and Z r+1 are the partition functions of particles, k, h and me are Boltzmann constant, Planck Constant and electron mass, E 1, r+1 is the ionization energy required for the (r+1) order ionization reaction, Te and Th are the temperature of the electron and the temperature of the heavy particle, respectively.
根据电离平衡理论,当空间电荷场近似等于外电场时,电子崩将会逐渐形成流柱,其中发生电子崩时的电场Er在半径为r的球形区域内,计算公式如公式(2)所述,According to the ionization equilibrium theory, when the space charge field is approximately equal to the external electric field, the electron avalanche will gradually form a flow column. The electric field E r when the electron avalanche occurs is in a spherical region with a radius of r. The calculation formula is as shown in formula (2). stated,
通过对公式(2)的推导可以得出,Through the derivation of formula (2), we can get,
其中,Er为介质击穿场强,e为电荷量,ne为单位体积内的电子密度,k为玻耳兹曼常数,E为空间电场强度,Te为电场温度,在不同的压力与电场情况下数值也不同。Among them, Er is the dielectric breakdown field strength, e is the amount of charge, ne is the electron density in a unit volume, k is the Boltzmann constant, E is the space electric field strength, and Te is the electric field temperature. The value is also different from the case of electric field.
击穿场强Eb与主导体表面的粗糙度和曲率有关,因此,击穿场强Eb如公式(4)所述,The breakdown field strength E b is related to the roughness and curvature of the main conductor surface, therefore, the breakdown field strength E b is as described in equation (4),
Eb=KhKfEr (4)E b = K h K f E r (4)
其中,Kh为主导体曲率系数,Kf为主导体表面粗糙度系数,Er为根据电离平衡理论所得出的介质击穿场强。Among them, K h is the main conductor curvature coefficient, K f is the main conductor surface roughness coefficient, and E r is the dielectric breakdown field strength obtained according to the ionization equilibrium theory.
Step2,计算不同工况下的电场分布。Step2, calculate the electric field distribution under different working conditions.
静电场的计算要在边界条件所限定的求解区域内求解拉氏方程。一般电极表面是施加求解的边界条件,而电极以外的区域为整体模型的求解域。此时一般选择电压值作为载荷自由度,将其施加在电极表面,整个求解域应满足拉普拉斯方程式。The calculation of the electrostatic field involves solving the Laplace equation within the solution region defined by the boundary conditions. Generally, the surface of the electrode is the boundary condition for applying the solution, and the area outside the electrode is the solution domain of the overall model. At this time, the voltage value is generally selected as the load degree of freedom, and it is applied to the electrode surface, and the entire solution domain should satisfy the Laplace equation.
在步骤Step2中,电场分布的计算是在二类边界条件的限制区域内求解拉式方程,如公式(5)所述,In Step 2, the calculation of the electric field distribution is to solve the pull equation in the restricted region of the second type of boundary conditions, as described in formula (5),
其中,为电位,电场强度与电位之间的关系为:in, is the electric potential, and the relationship between the electric field strength and the electric potential is:
在对电场进行计算时还要考虑不同工况下的情况:When calculating the electric field, it is also necessary to consider the situation under different working conditions:
(1)雷电冲击工况可用下式表示:(1) The lightning impulse condition can be expressed by the following formula:
其中,A为雷电冲击电压的峰值,τ1、τ2分别为波尾和波前时间常数。Among them, A is the peak value of lightning impulse voltage, and τ 1 and τ 2 are the time constants of wave tail and wave front, respectively.
(2)特快速暂态电压VFTO,用公式(8)表示:(2) Very fast transient voltage VFTO, expressed by formula (8):
其中,k0、k1……k8以及l1、l2……l8为过电压系数,ω为电压角频率,取值在下面的表1中给出。Among them, k 0 , k 1 ...... k 8 and l 1 , l 2 ...... l 8 are the overvoltage coefficients, and ω is the voltage angular frequency, and the values are given in Table 1 below.
表1过电压系数及电压角频率的取值Table 1 Values of Overvoltage Coefficient and Voltage Corner Frequency
(3)工频电压情况下,选取工频电压方程为:(3) In the case of power frequency voltage, the power frequency voltage equation is selected as:
u(t)=A×sin(ωt) (9)u(t)=A×sin(ωt) (9)
其中,A为工频电压的峰值,ω为电压角频率,由于是工频,则ω取值为100π。Among them, A is the peak value of the power frequency voltage, and ω is the voltage angular frequency. Since it is a power frequency, the value of ω is 100π.
Step3,定义绝缘裕度为Step1的临界击穿电场和Step2的空间电场强度的差值,作为GIS内绝缘判断的依据。Step 3, define the insulation margin as the difference between the critical breakdown electric field of
在步骤Step3中,定义绝缘裕度作为GIS内绝缘判断的依据,其中,绝缘裕度如公式(10)所述,In Step 3, define the insulation margin as the basis for judging the insulation in the GIS, wherein the insulation margin is as described in formula (10),
Em=Eb-E (10)E m =E b -E (10)
其中,Em为击穿裕度,Eb为击穿场强,E为空间电场强度。Among them, Em is the breakdown margin, E b is the breakdown field strength, and E is the space electric field strength.
Step4,温度场与流场的耦合计算。Step4, the coupling calculation of temperature field and flow field.
温度场的计算要选取合适的热源及传热方式,热源主要包括母线的电阻损耗以及外壳的涡流损耗造成的发热,在对电阻损耗的计算过程中还要考虑温度升高对电导率的影响以及电流的集肤效应。在传热方式的选择上,本次计算包括热传导、对流换热和辐射传热三种形式。热传导是GIS母线通流升温后向周围的SF6气体介质传热;对流换热是SF6气体介质相对母线发生流动时的热量传输;辐射散热包括主导体与SF6气体,外壳与SF6气体,主导体与外壳之间由于温度差产生。For the calculation of the temperature field, an appropriate heat source and heat transfer method should be selected. The heat source mainly includes the resistance loss of the busbar and the heat generated by the eddy current loss of the casing. In the calculation of the resistance loss, the influence of temperature increase on the conductivity and Skin effect of current. In the selection of heat transfer methods, this calculation includes three forms of heat transfer, convection heat transfer and radiation heat transfer. Heat conduction is the heat transfer of the GIS busbar to the surrounding SF6 gas medium after the temperature rises; convection heat transfer is the heat transfer when the SF6 gas medium flows relative to the busbar; radiation heat dissipation includes the main conductor and the SF6 gas, the outer shell and the SF6 gas , due to the temperature difference between the main conductor and the shell.
流场的计算要选取相应的流动状态及边界条件。SF6气体是在母线通流发热和外壳损耗发热共同作用下的流动,从流体力学的角度来看属于低速牛顿流体流动,且流动状态为层流。边界条件的选取包括温度场边界条件和速度边界条件,温度边界条件需考虑主导体与外壳间的导热系数、温度等,本次速度边界条件为无滑移边界条件。The calculation of the flow field should select the corresponding flow state and boundary conditions. The SF 6 gas flows under the combined action of the heat generated by the bus flow and the heat loss of the casing. From the point of view of hydrodynamics, it belongs to the low-speed Newtonian fluid flow, and the flow state is laminar flow. The selection of boundary conditions includes temperature field boundary conditions and velocity boundary conditions. The temperature boundary conditions need to consider the thermal conductivity and temperature between the main conductor and the outer casing. This time, the velocity boundary conditions are no-slip boundary conditions.
在步骤Step4中,由于母线与外壳的发热会造成SF6气体的流动进而使得不同位置的气体压力不同,压力又会对介质击穿场强的求解有影响。因此,在计算绝缘裕度时要考虑母线通流发热和外壳损耗发热的情况下气体的流动。In Step 4, the heat generated by the bus bar and the casing will cause the flow of SF 6 gas, which will make the gas pressures at different positions different, and the pressure will have an impact on the solution of the medium breakdown field strength. Therefore, when calculating the insulation margin, the flow of gas in the case of the heat generated by the bus flow and the heat generated by the casing loss should be considered.
计算母线发热时要注意电导率随温度的变化,公式如下:When calculating the heating of the bus, pay attention to the change of conductivity with temperature. The formula is as follows:
σ=σ0[(1-kΔT1)+(1-kΔT2)]/2 (11)σ=σ 0 [(1-kΔT 1 )+(1-kΔT 2 )]/2 (11)
其中,σ0为20℃时对应的电导率,k为温度效应系数,假设温升实验外界环境温度为40℃,母线温度为70℃,即ΔT1=(40-20)℃,ΔT2=(70-20)℃;Among them, σ 0 is the corresponding conductivity at 20°C, k is the temperature effect coefficient, assuming that the ambient temperature of the temperature rise experiment is 40°C, and the bus temperature is 70°C, that is, ΔT 1 =(40-20)°C, ΔT 2 = (70-20)℃;
利用所得电导率用电磁场仿真模型计算母线产热,计算时需考虑主导体的集肤效应。在主导体由内向外,磁通密度逐渐增大,在主导体表面磁通密度达到最大;而在外壳中,由内向外磁通密度逐渐减小。电流沿导线表面能达到的径向深度如下:The obtained electrical conductivity is used to calculate the heat generation of the busbar with the electromagnetic field simulation model, and the skin effect of the main conductor should be considered in the calculation. From the inside to the outside of the main conductor, the magnetic flux density increases gradually, and the magnetic flux density reaches the maximum on the surface of the main conductor; while in the shell, the magnetic flux density gradually decreases from the inside to the outside. The radial depth that current can reach along the surface of the wire is as follows:
其中,ω为角频率,μ为磁导率,γ为电导率。where ω is the angular frequency, μ is the magnetic permeability, and γ is the electrical conductivity.
计算母线及外壳磁损耗产热,用麦克斯韦方程组微分形式表示,如公式(13)所述:Calculate the heat generation by the magnetic loss of the busbar and the casing, which is expressed in the differential form of Maxwell's equations, as described in formula (13):
其中为磁场强度矢量,为总电流密度矢量,为源电流密度矢量,为感应电流密度矢量,为电位移矢量,为电场强度矢量,为磁感应强度矢量,ρ为电荷密度。in is the magnetic field strength vector, is the total current density vector, is the source current density vector, is the induced current density vector, is the electric displacement vector, is the electric field strength vector, is the magnetic induction intensity vector, and ρ is the charge density.
利用电磁损耗求出单位长度功率损耗,如公式(14)所述。The power loss per unit length is obtained using the electromagnetic loss, as described in Equation (14).
P=∫(Js 2/σ)dV (14)P=∫(J s 2 /σ)dV (14)
Step5,根据Step4的结果计算GIS内SF6气体密度分布。Step5: Calculate the density distribution of SF 6 gas in the GIS according to the results of Step4.
在步骤Step5中,步骤Step4中得到的母线及外壳发热作为流场中的热源,所以气体流动用三维N-S方程表示,In Step 5, the heat generated by the bus bar and the shell obtained in Step 4 is used as the heat source in the flow field, so the gas flow is expressed by the three-dimensional N-S equation,
质量守恒方程为:The mass conservation equation is:
x、y、z轴方向动量守恒方程为:The momentum conservation equations in the x, y, and z directions are:
能量守恒方程为:The energy conservation equation is:
其中,ρ表示任意一点SF6气体的密度,ux,vy,wz分别表示x,y,z方向气体的速度,p为气体的压力,qv为能量源项,e为单位质量的总能量,τij为粘性应力张量的各个分量。Among them, ρ represents the density of SF 6 gas at any point, u x , v y , w z represent the velocity of the gas in the x, y, and z directions, respectively, p is the pressure of the gas, q v is the energy source term, and e is the unit mass The total energy, τ ij are the individual components of the viscous stress tensor.
Step6,基于Step5的SF6气体密度分布条件通过Step1计算临界击穿电场,通过Step2计算不同工况下的电场分布,结合Step3定义的绝缘裕度的数值判断GIS内绝缘水平,若绝缘裕度小于等于0则GIS内会发生击穿,若绝缘裕度大于0则GIS内不会发生击穿。Step6, based on the SF 6 gas density distribution conditions of Step5, calculate the critical breakdown electric field through Step1, calculate the electric field distribution under different working conditions through Step2, and judge the internal insulation level of the GIS based on the value of the insulation margin defined in Step3. If the insulation margin is less than If it is equal to 0, the breakdown will occur in the GIS. If the insulation margin is greater than 0, the breakdown will not occur in the GIS.
与现有技术相比,本发明具有以下有益效果:Compared with the prior art, the present invention has the following beneficial effects:
1、与现有方法相比,本发明对内绝缘判断时考虑了长期通流下SF6分布情况,并按上述方式得到了一套GIS运行状态的综合判断依据,该方法充分考虑了母线及外壳温升造成气体流动情况下的SF6气体分布变化,符合实际运行中GIS的运行状态。1. Compared with the existing method, the present invention considers the distribution of SF 6 under long-term current flow when judging the internal insulation, and obtains a set of comprehensive judgment basis for the operation state of the GIS in the above-mentioned way. This method fully considers the busbar and the casing. The temperature rise causes changes in the distribution of SF 6 gas in the case of gas flow, which is in line with the operating state of GIS in actual operation.
2、本发明对绝缘裕度进行了定义,其中涉及临界击穿场强计算的过程中采用Saha电离方程进行求解。2. The present invention defines the insulation margin, and the Saha ionization equation is used to solve the process involving the calculation of the critical breakdown field strength.
3、本发明在计算绝缘裕度时将主导体表面的粗糙度和曲率也考虑在内,避免了因生产或安装过程中的误差影响绝缘水平的判断,极大提高了绝缘水平判断的可靠性。3. In the present invention, the roughness and curvature of the main conductor surface are also taken into account when calculating the insulation margin, which avoids the influence of errors in the production or installation process on the judgment of the insulation level, and greatly improves the reliability of the judgment of the insulation level. .
4、本发明对不同工况下电场分布进行计算,在GIS实际运行中除了工频电压,还存在着雷电冲击电压和特快速暂态过电压的情况,本发明对GIS类设备不同运行工况的综合考虑可以有效减少因异常状态所导致的绝缘故障。4. The invention calculates the electric field distribution under different working conditions. In the actual operation of GIS, in addition to the power frequency voltage, there are also lightning impulse voltage and ultra-fast transient overvoltage. Comprehensive consideration can effectively reduce insulation failures caused by abnormal states.
附图说明Description of drawings
下面将结合附图及实施例对本发明作进一步说明,附图中:The present invention will be further described below in conjunction with the accompanying drawings and embodiments, in which:
图1为一种GIS内绝缘状态的判断方法的流程示意图;1 is a schematic flowchart of a method for judging an insulation state in a GIS;
图2为本发明实施例中暂态工况下负载侧单次VFTO波形;FIG. 2 is a single VFTO waveform on the load side under a transient working condition according to an embodiment of the present invention;
图3为本发明实施例中步骤Step6的流程示意图。FIG. 3 is a schematic flowchart of Step 6 in an embodiment of the present invention.
具体实施方式Detailed ways
为了使本发明的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本发明进行进一步详细说明。In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings and embodiments.
如图1所示,本发明提供一种GIS内绝缘状态的判断方法,该方法包括以下步骤:As shown in Figure 1, the present invention provides a method for judging the insulation state in a GIS, the method comprising the following steps:
Step1,计算临界击穿电场。Step1, calculate the critical breakdown electric field.
在步骤Step1,采用Saha电离平衡方程求解介质击穿场强,如公式(1)所述,In
其中,ne、nr和nr+1为相应的电子密度和粒子密度,Zr和Zr+1为粒子的配分函数,k、h和me为玻耳兹曼常数、普朗克常数和电子质量,EΙ,r+1为发生(r+1)阶电离反应所需的电离能,Te、Th分别为电子的温度和重粒子的温度。Among them, n e , n r and n r+1 are the corresponding electron density and particle density, Z r and Z r+1 are the partition functions of particles, k, h and me are Boltzmann constant, Planck Constant and electron mass, E 1, r+1 is the ionization energy required for the (r+1) order ionization reaction, Te and Th are the temperature of the electron and the temperature of the heavy particle, respectively.
根据电离平衡理论,当空间电荷场近似等于外电场时,电子崩将会逐渐形成流柱,其中发生电子崩时的电场Er在半径为r的球形区域内,计算公式如公式(2)所述,According to the ionization equilibrium theory, when the space charge field is approximately equal to the external electric field, the electron avalanche will gradually form a flow column. The electric field E r when the electron avalanche occurs is in a spherical region with a radius of r. The calculation formula is as shown in formula (2). stated,
通过对公式(2)的推导可以得出,Through the derivation of formula (2), we can get,
其中,Er为介质击穿场强,e为电荷量,ne为单位体积内的电子密度,k为玻耳兹曼常数,E为空间电场强度,Te为电场温度,在不同的压力与电场情况下数值也不同。Among them, Er is the dielectric breakdown field strength, e is the amount of charge, ne is the electron density in a unit volume, k is the Boltzmann constant, E is the space electric field strength, and Te is the electric field temperature. The value is also different from the case of electric field.
击穿场强Eb与主导体表面的粗糙度和曲率有关,因此,击穿场强Eb如公式(4)所述,The breakdown field strength E b is related to the roughness and curvature of the main conductor surface, therefore, the breakdown field strength E b is as described in equation (4),
Eb=KhKfEr (4)E b = K h K f E r (4)
其中,Kh为主导体曲率系数,Kf为主导体表面粗糙度系数,Er为根据电离平衡理论所得出的介质击穿场强。Among them, K h is the main conductor curvature coefficient, K f is the main conductor surface roughness coefficient, and E r is the dielectric breakdown field strength obtained according to the ionization equilibrium theory.
Step2,计算不同工况下的电场分布。Step2, calculate the electric field distribution under different working conditions.
静电场的计算要在边界条件所限定的求解区域内求解拉氏方程。一般电极表面是施加求解的边界条件,而电极以外的区域为整体模型的求解域。此时一般选择电压值作为载荷自由度,将其施加在电极表面,整个求解域应满足拉普拉斯方程式。The calculation of the electrostatic field involves solving the Laplace equation within the solution region defined by the boundary conditions. Generally, the surface of the electrode is the boundary condition for applying the solution, and the area outside the electrode is the solution domain of the overall model. At this time, the voltage value is generally selected as the load degree of freedom, and it is applied to the electrode surface, and the entire solution domain should satisfy the Laplace equation.
在步骤Step2中,电场分布的计算是在二类边界条件的限制区域内求解拉式方程,如公式(5)所述,In Step 2, the calculation of the electric field distribution is to solve the pull equation in the restricted region of the second type of boundary conditions, as described in formula (5),
其中,为电位,电场强度与电位之间的关系为:in, is the electric potential, and the relationship between the electric field strength and the electric potential is:
在对电场进行计算时还要考虑不同工况下的情况:When calculating the electric field, it is also necessary to consider the situation under different working conditions:
(1)雷电冲击工况可用下式表示:(1) The lightning impulse condition can be expressed by the following formula:
其中,A为雷电冲击电压的峰值,τ1、τ2分别为波尾和波前时间常数。Among them, A is the peak value of lightning impulse voltage, and τ 1 and τ 2 are the time constants of wave tail and wave front, respectively.
(2)特快速暂态电压VFTO,如图2所示,用公式(8)表示:(2) The ultra-fast transient voltage VFTO, as shown in Figure 2, is expressed by formula (8):
其中,k0、k1……k8以及l1、l2……l8为过电压系数,ω为电压角频率,取值在下面的表1中给出。Among them, k 0 , k 1 ...... k 8 and l 1 , l 2 ...... l 8 are the overvoltage coefficients, and ω is the voltage angular frequency, and the values are given in Table 1 below.
表1过电压系数及电压角频率的取值Table 1 Values of Overvoltage Coefficient and Voltage Corner Frequency
(3)工频电压情况下,选取工频电压方程为:(3) In the case of power frequency voltage, the power frequency voltage equation is selected as:
u(t)=A×sin(ωt) (9)u(t)=A×sin(ωt) (9)
其中,A为工频电压的峰值,ω为电压角频率,由于是工频,则ω取值为100π。Among them, A is the peak value of the power frequency voltage, and ω is the voltage angular frequency. Since it is a power frequency, the value of ω is 100π.
Step3,定义绝缘裕度为Step1的临界击穿电场和Step2的空间电场强度的差值,作为GIS内绝缘判断的依据。Step 3, define the insulation margin as the difference between the critical breakdown electric field of
在步骤Step3中,定义绝缘裕度作为GIS内绝缘判断的依据,其中,绝缘裕度如公式(10)所述,In Step 3, define the insulation margin as the basis for judging the insulation in the GIS, wherein the insulation margin is as described in formula (10),
Em=Eb-E (10)E m =E b -E (10)
其中,Em为击穿裕度,Eb为击穿场强,E为空间电场强度。Among them, Em is the breakdown margin, E b is the breakdown field strength, and E is the space electric field strength.
Step4,温度场与流场的耦合计算。Step4, the coupling calculation of temperature field and flow field.
温度场的计算要选取合适的热源及传热方式,热源主要包括母线的电阻损耗以及外壳的涡流损耗造成的发热,在对电阻损耗的计算过程中还要考虑温度升高对电导率的影响以及电流的集肤效应。在传热方式的选择上,本次计算包括热传导、对流换热和辐射传热三种形式。热传导是GIS母线通流升温后向周围的SF6气体介质传热;对流换热是SF6气体介质相对母线发生流动时的热量传输;辐射散热包括主导体与SF6气体,外壳与SF6气体,主导体与外壳之间由于温度差产生。For the calculation of the temperature field, an appropriate heat source and heat transfer method should be selected. The heat source mainly includes the resistance loss of the busbar and the heat generated by the eddy current loss of the casing. In the calculation of the resistance loss, the influence of temperature increase on the conductivity and Skin effect of current. In the selection of heat transfer methods, this calculation includes three forms of heat transfer, convection heat transfer and radiation heat transfer. Heat conduction is the heat transfer of the GIS busbar to the surrounding SF6 gas medium after the temperature rises; convection heat transfer is the heat transfer when the SF6 gas medium flows relative to the busbar; radiation heat dissipation includes the main conductor and the SF6 gas, the outer shell and the SF6 gas , due to the temperature difference between the main conductor and the shell.
流场的计算要选取相应的流动状态及边界条件。SF6气体是在母线通流发热和外壳损耗发热共同作用下的流动,从流体力学的角度来看属于低速牛顿流体流动,且流动状态为层流。边界条件的选取包括温度场边界条件和速度边界条件,温度边界条件需考虑主导体与外壳间的导热系数、温度等,本次速度边界条件为无滑移边界条件。The calculation of the flow field should select the corresponding flow state and boundary conditions. The SF 6 gas flows under the combined action of the heat generated by the bus flow and the heat loss of the casing. From the point of view of hydrodynamics, it belongs to the low-speed Newtonian fluid flow, and the flow state is laminar flow. The selection of boundary conditions includes temperature field boundary conditions and velocity boundary conditions. The temperature boundary conditions need to consider the thermal conductivity and temperature between the main conductor and the outer casing. This time, the velocity boundary conditions are no-slip boundary conditions.
在步骤Step4中,由于母线与外壳的发热会造成SF6气体的流动进而使得不同位置的气体压力不同,压力又会对介质击穿场强的求解有影响。因此,在计算绝缘裕度时要考虑母线通流发热和外壳损耗发热的情况下气体的流动。In Step 4, the heat generated by the bus bar and the casing will cause the flow of SF 6 gas, which will make the gas pressures at different positions different, and the pressure will have an impact on the solution of the medium breakdown field strength. Therefore, when calculating the insulation margin, the flow of gas in the case of the heat generated by the bus flow and the heat generated by the casing loss should be considered.
计算母线发热时要注意电导率随温度的变化,公式如下:When calculating the heating of the bus, pay attention to the change of conductivity with temperature. The formula is as follows:
σ=σ0[(1-kΔT1)+(1-kΔT2)]/2 (11)σ=σ 0 [(1-kΔT 1 )+(1-kΔT 2 )]/2 (11)
其中,σ0为20℃时对应的电导率,k为温度效应系数,假设温升实验外界环境温度为40℃,母线温度为70℃,即ΔT1=(40-20)℃,ΔT2=(70-20)℃;Among them, σ 0 is the corresponding conductivity at 20°C, k is the temperature effect coefficient, assuming that the ambient temperature of the temperature rise experiment is 40°C, and the bus temperature is 70°C, that is, ΔT 1 =(40-20)°C, ΔT 2 = (70-20)℃;
利用所得电导率用电磁场仿真模型计算母线产热,计算时需考虑主导体的集肤效应。在主导体由内向外,磁通密度逐渐增大,在主导体表面磁通密度达到最大;而在外壳中,由内向外磁通密度逐渐减小。电流沿导线表面能达到的径向深度如下:The obtained electrical conductivity is used to calculate the heat generation of the busbar with the electromagnetic field simulation model, and the skin effect of the main conductor should be considered in the calculation. In the main conductor from the inside to the outside, the magnetic flux density increases gradually, and the magnetic flux density reaches the maximum on the surface of the main conductor; while in the shell, the magnetic flux density gradually decreases from the inside to the outside. The radial depth that current can reach along the surface of the wire is as follows:
其中,ω为角频率,μ为磁导率,γ为电导率。where ω is the angular frequency, μ is the magnetic permeability, and γ is the electrical conductivity.
计算母线及外壳磁损耗产热,用麦克斯韦方程组微分形式表示,如公式(13)所述:Calculate the heat generation by the magnetic loss of the busbar and the casing, which is expressed in the differential form of Maxwell's equations, as described in formula (13):
其中为磁场强度矢量,为总电流密度矢量,为源电流密度矢量,为感应电流密度矢量,为电位移矢量,为电场强度矢量,为磁感应强度矢量,ρ为电荷密度。in is the magnetic field strength vector, is the total current density vector, is the source current density vector, is the induced current density vector, is the electric displacement vector, is the electric field strength vector, is the magnetic induction intensity vector, and ρ is the charge density.
利用电磁损耗求出单位长度功率损耗,如公式(14)所述。Use the electromagnetic losses to find the power loss per unit length, as described in Equation (14).
P=∫(Js 2/σ)dV (14)P=∫(J s 2 /σ)dV (14)
Step5,根据Step4的结果计算GIS内SF6气体密度分布。Step5: Calculate the density distribution of SF 6 gas in the GIS according to the results of Step4.
在步骤Step5中,步骤Step4中得到的母线及外壳发热作为流场中的热源,所以气体流动用三维N-S方程表示,In Step 5, the heat generated by the busbar and the shell obtained in Step 4 is used as the heat source in the flow field, so the gas flow is expressed by the three-dimensional N-S equation,
质量守恒方程为:The mass conservation equation is:
x、y、z轴方向动量守恒方程为:The momentum conservation equations in the x, y, and z directions are:
能量守恒方程为:The energy conservation equation is:
其中,ρ表示任意一点SF6气体的密度,ux,vy,wz分别表示x,y,z方向气体的速度,p为气体的压力,qv为能量源项,e为单位质量的总能量,τij为粘性应力张量的各个分量。Among them, ρ represents the density of SF 6 gas at any point, u x , v y , w z represent the velocity of the gas in the x, y, and z directions, respectively, p is the pressure of the gas, q v is the energy source term, and e is the unit mass The total energy, τ ij are the individual components of the viscous stress tensor.
Step6,如图3所示,基于Step5的SF6气体密度分布条件通过Step1计算临界击穿电场,通过Step2计算不同工况下的电场分布,结合Step3定义的绝缘裕度的数值判断GIS内绝缘水平,若绝缘裕度小于等于0则GIS内会发生击穿,若绝缘裕度大于0则GIS内不会发生击穿。Step6, as shown in Figure 3, based on the SF 6 gas density distribution conditions of Step5, calculate the critical breakdown electric field through Step1, calculate the electric field distribution under different working conditions through Step2, and judge the internal insulation level of the GIS based on the value of the insulation margin defined in Step3 , if the insulation margin is less than or equal to 0, the breakdown will occur in the GIS, and if the insulation margin is greater than 0, the breakdown will not occur in the GIS.
附图对本发明的实施例进行了描述,但是本发明并不局限于上述的具体实施方式,上述的具体实施方式仅仅是示意性的,而不是限制性的,本领域的普通技术人员在本发明的启示下,在不脱离本发明宗旨和权利要求所保护的范围情况下,还可做出很多形式,这些均属于本发明的保护之内。The accompanying drawings describe the embodiments of the present invention, but the present invention is not limited to the above-mentioned specific embodiments, and the above-mentioned specific embodiments are only schematic, not restrictive, and those of ordinary skill in the art are familiar with the present invention. Under the inspiration of the present invention, many forms can be made without departing from the scope of protection of the present invention and the claims, which all belong to the protection of the present invention.
Claims (4)
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201810821546.1A CN108646156B (en) | 2018-07-24 | 2018-07-24 | A method for judging the insulation state in GIS |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN201810821546.1A CN108646156B (en) | 2018-07-24 | 2018-07-24 | A method for judging the insulation state in GIS |
Publications (2)
Publication Number | Publication Date |
---|---|
CN108646156A CN108646156A (en) | 2018-10-12 |
CN108646156B true CN108646156B (en) | 2020-01-31 |
Family
ID=63760035
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN201810821546.1A Active CN108646156B (en) | 2018-07-24 | 2018-07-24 | A method for judging the insulation state in GIS |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN108646156B (en) |
Families Citing this family (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN110361636A (en) * | 2019-07-19 | 2019-10-22 | 广东电网有限责任公司 | A kind of gas Dielectric Breakdown Character prediction technique, device and equipment |
CN110728071B (en) * | 2019-10-23 | 2021-03-05 | 北京理工大学 | Method for predicting electromagnetic effect generated by explosion |
CN111143979B (en) * | 2019-12-16 | 2022-08-16 | 国网上海市电力公司 | Memory, basin-type insulator thermodynamic model construction method, device and equipment |
CN111342388B (en) * | 2020-03-16 | 2021-05-04 | 武汉理工大学 | GIS compact design method under high voltage mixed gas medium |
CN112800647B (en) * | 2021-01-09 | 2022-11-08 | 国网山西省电力公司超高压变电分公司 | Multi-physical-field coupling simulation method and system for GIS isolating switch under different contact states |
CN114004187B (en) * | 2021-10-28 | 2022-10-11 | 国网上海市电力公司 | Electric field simulation method for defective GIS basin insulators under lightning impulse voltage |
Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN102789548A (en) * | 2012-07-13 | 2012-11-21 | 西安交通大学 | A Method for Evaluating the Occurrence Probability of Electrical Breakdown of Hot Gas After SF6 Circuit Breaker |
CN107563042A (en) * | 2017-08-29 | 2018-01-09 | 华北电力大学(保定) | A Composite Electric Field Calculation Method of Converter Transformer Considering Temperature Gradient |
CN107561397A (en) * | 2017-08-10 | 2018-01-09 | 广州供电局有限公司 | The electric contact state detection method and system of GIS contact systems |
-
2018
- 2018-07-24 CN CN201810821546.1A patent/CN108646156B/en active Active
Patent Citations (3)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN102789548A (en) * | 2012-07-13 | 2012-11-21 | 西安交通大学 | A Method for Evaluating the Occurrence Probability of Electrical Breakdown of Hot Gas After SF6 Circuit Breaker |
CN107561397A (en) * | 2017-08-10 | 2018-01-09 | 广州供电局有限公司 | The electric contact state detection method and system of GIS contact systems |
CN107563042A (en) * | 2017-08-29 | 2018-01-09 | 华北电力大学(保定) | A Composite Electric Field Calculation Method of Converter Transformer Considering Temperature Gradient |
Non-Patent Citations (5)
Title |
---|
GIS隔离开关操作条件下介质击穿特性研究;田光阳;《中国优秀硕士学位论文全文数据库 工程科技II辑》;20180115(第01期);第C042-497页 * |
SF6断路器开断小电流介质临界击穿电压数值模拟计算分析;王亮等;《输变电年会2012 论文集》;20121231;第89-94页 * |
Study on the Transient Characteristics of 1100kV VFTO;Wu Xixiu等;《2017 IEEE》;20171231;第66-75页 * |
交直流叠加电场下油纸绝缘系统击穿特性试验系统;赵永贵等;《智能电网》;20141031;第2卷(第10期);第8-12页 * |
基于SF6气体介质击穿判据的气体绝缘变电站母线优化设计;吴细秀等;《高电压技术》;20170630;第43卷(第6期);第1950-1957页 * |
Also Published As
Publication number | Publication date |
---|---|
CN108646156A (en) | 2018-10-12 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN108646156B (en) | A method for judging the insulation state in GIS | |
CN104199717B (en) | The method for numerical simulation of ebb-flow discharge Three-Dimensional Dynamic evolutionary process in a kind of insulating oil | |
CN109307827B (en) | GIL internal insulation state judgment method under mixed gas medium condition | |
CN114169076A (en) | A simulation method of aviation arc fault damage based on Fluent software | |
Moghaddami et al. | Time-dependent multi-physics analysis of inductive power transfer systems | |
CN108205604A (en) | A kind of analogy method for inhibiting condensation of switch cabinet | |
CN111123041A (en) | A cable sheath fault location method based on temperature characteristics | |
CN103595243A (en) | Method suitable for suppressing common mode electromagnetic interference in wind driven generator driving system | |
CN107526872A (en) | A kind of thermal stress of 500kV extra-high-tension cables and the computational methods of deformation quantity | |
Gao et al. | Switching impulse discharge characteristics of UHV transmission line air gaps | |
CN115640732A (en) | Power distribution network arc fault positioning method based on magnetic field distribution | |
CN108334982B (en) | Method and system for evaluating the pressure-equalizing ability of pressure-equalizing electrodes in the internal cooling system of the converter valve | |
CN111896133A (en) | A GIS isolating switch, temperature measurement method and device | |
Liu et al. | A promising De-ionized water cooling based ERIP bushing-I: Model validation and high cooling efficiency of the cooling method | |
Zheng et al. | Multi-physical field coupling simulation and thermal design of 10 kV-KYN28A high-current switchgear | |
Liu et al. | Modified field‐to‐line coupling model for simulating the corona effect on the lightning induced voltages of multi‐conductor transmission lines over a lossy ground | |
Wang et al. | Analysis of the three-dimensional temperature distribution and ampacity of forced ventilation multi-loop cable tunnel by finite element method | |
Zhang et al. | 2-D coupled fluid-thermal analysis of oil-immersed power transformers based on finite element method | |
CN117521468A (en) | Performance optimization method of mining flameproof frequency converter | |
Shionoya et al. | Numerical study on turbulent flows in a liquid metal MHD generator | |
CN104179521B (en) | A kind of based on the heat dissipating method having groove box cable tunnel thermal field model | |
Guan et al. | Electromagnetic field and force analysis of three-phase enclosure type GIS bus capsule | |
Cheng et al. | Simulation of heat transfer performance of NBI transmission line | |
Nahavandi et al. | Numerical simulation of electrohydrodynamic effect on natural convection through a vertical enclosure channel | |
CN105512398B (en) | Hot road analogy method and the hot road analogy method of converter valve components for using this method |
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 | ||
GR01 | Patent grant | ||
GR01 | Patent grant |