CN112052618B - Simulation method and device for free particle running track in GIS - Google Patents
Simulation method and device for free particle running track in GIS Download PDFInfo
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Abstract
The invention discloses a simulation method of free particle running tracks in a GIS, which comprises the following steps: calculating first stress data of the particles before taking off; wherein the first force data comprises a first coulomb force and gravity; when the particles meet preset take-off conditions, calculating second stress data of the particles after taking off according to GIS equipment parameters; wherein the second force data includes a second coulomb force, an electric field gradient force, and a gas viscous force; and constructing a particle running track model according to the first stress data and the second stress data of the particles, and drawing a particle running track according to the particle running track model. The invention also discloses a simulation device of the free particle running track in the GIS, which can effectively judge the running track of the particles in the GIS and can effectively improve the calculation efficiency and accuracy of the running simulation of the particles in the GIS.
Description
Technical Field
The invention relates to the technical field of high-voltage electric tests, in particular to a simulation method and device for free particle running tracks in a GIS.
Background
Sulfur hexafluoride (SF 6) gas filled with certain pressure is used as an insulating medium in the gas-insulated closed combined electrical apparatus (GIS). In GIS, basin-type insulator is as main insulator, plays the effect such as insulating support, air chamber isolation. Under the working condition, defects such as surface cracks and the like of the basin-type insulator are easy to cause insulation failure due to expansion after a period of operation, and the problem of surface flashover discharge in the GIS can be caused, so that the research on crack expansion in the strength test of the basin-type insulator is very significant.
The motion track of the free conductive particles under the power frequency voltage is obviously different from that under the direct current voltage. The particle motion track under the power frequency voltage has larger randomness, and the reason is that the particle charge quantity is different due to the different collision moments of the particle and the polar plate, so that the stress condition of the particle is influenced, and the stress of the particle changes along with the time and space difference. The particle jumping height is limited by the power frequency voltage and has a limit height under the given voltage. In the current research of free particles, macroscopic electrical parameters are studied very much, but the track of the particles in the GIS cannot be accurately judged, the motion track of the particles in the GIS is known, and the method has important significance for analyzing the stability and control method of the GIS system with particle defects.
Disclosure of Invention
The embodiment of the invention provides a simulation method and a simulation device for the running track of free particles in a GIS, which can effectively and accurately judge the running track of the particles in the GIS and can effectively improve the calculation efficiency and accuracy of the running simulation of the particles in the GIS.
An embodiment of the invention provides a simulation method of a free particle running track in a GIS, which comprises the following steps:
calculating first stress data of the particles before taking off; wherein the first force data comprises a first coulomb force and gravity;
When the particles meet preset take-off conditions, calculating second stress data of the particles after taking off according to GIS equipment parameters; wherein the second force data includes a second coulomb force, an electric field gradient force, and a gas viscous force;
and constructing a particle running track model according to the first stress data and the second stress data of the particles, and drawing a particle running track according to the particle running track model.
As an improvement of the above-described aspect, it is determined whether the microparticles satisfy the take-off condition by:
judging whether the power frequency voltage applied to the GIS reaches a preset voltage threshold value or not; if the power frequency voltage reaches the voltage threshold, the particles are considered to meet the take-off condition; and if the power frequency voltage does not reach the voltage threshold, the particles are considered to not meet the take-off condition.
As an improvement of the above solution, the method further includes:
obtaining the electric field intensity between the electrodes according to the GIS equipment parameters in advance by the formula (1):
wherein E is the electric field intensity between the electrodes, U is the effective value of power frequency voltage applied on the GIS, R 1 is the inner radius of the GIS shell, R 2 is the radius of the GIS busbar, and x is the distance between the particles and the GIS shell.
As an improvement of the above solution, the calculating the first stress data of the particle before the take-off specifically includes:
The gravity of the particles is obtained according to formula (2):
wherein G is the gravity of the particles, a is the radius of the particles, ρ is the density of the particle material, and G is the gravitational acceleration;
the distance between the particles in the inter-electrode electric field intensity and the GIS shell is set to be x=0 in advance;
the first coulomb force of the particles is obtained from equation (3) based on the inter-electrode electric field strength:
Fq＝-kqE (3)
wherein F q is the first coulomb force, k is a correction coefficient caused by the mirror force, and q is the charge amount of the particles.
As an improvement of the above solution, when the particle meets a preset take-off condition, calculating second stress data of the particle after taking off according to a GIS device parameter, specifically includes:
Calculating a second coulomb force of the particle based on the inter-electrode electric field strength;
Obtaining the electric field gradient force of the particles according to the formula (4):
Wherein F grad is the electric field gradient force, 0 is vacuum dielectric constant, ε r is relative dielectric constant, and r is the radius of the particle;
The gas viscosity of the particles is obtained according to equation (5):
wherein F visc is the gas viscosity, v is the movement velocity of the particles, and Re is the Reynolds number.
As an improvement of the above solution, the constructing a particle motion trajectory model according to the first stress data and the second stress data of the particles specifically includes:
The particle motion trajectory model is obtained according to the gravity, the second coulomb force, the electric field gradient force and the gas viscous force of the particles and by the formula (6):
Wherein m is the mass of the particle, x is the position of the particle during movement, t is the movement time of the particle, q' is the second coulomb force of the particle.
As an improvement of the above solution, the method further includes:
when detecting that the particles collide with the electrodes of the GIS in the motion process, re-acquiring the charge quantity of the particles; wherein, the electrode of the GIS is a GIS shell or a GIS bus;
And calculating a second coulomb force of the particles according to the charge quantity of the particles, and constructing a particle running track model according to the first stress data and the second stress data of the particles.
As an improvement of the above-described scheme, the charged amount of the fine particles is obtained by:
Calculating the charge amount obtained when the particles collide with the GIS shell according to the formula (7):
Or, calculating the charge amount obtained when the particles collide with the GIS bus according to the formula (8):
Another embodiment of the present invention correspondingly provides a device for simulating a free particle running track in a GIS, including:
The particle pre-jump stress analysis module is used for calculating first stress data of particles before jump; wherein the first force data comprises a first coulomb force and gravity;
The particle post-jump stress analysis module is used for calculating second stress data of the particles after the jump according to GIS equipment parameters when the particles meet preset jump conditions; wherein the second force data includes a second coulomb force, an electric field gradient force, and a gas viscous force;
The particle running track simulation module is used for constructing a particle running track model according to the first stress data and the second stress data of the particles and drawing particle running tracks according to the particle running track model.
Compared with the prior art, the simulation method and the simulation device for the free particle running track in the GIS are disclosed by the embodiment of the invention, the particle running track model is constructed according to the first stress data and the second stress data of the particles, and the particle running track model is drawn according to the particle running track model, wherein the first stress data comprises a first coulomb force and a gravity, and when the particle meets a preset jump condition, the second stress data after the particle is jumped is calculated according to GIS equipment parameters, wherein the second stress data comprises a second coulomb force, an electric field gradient force and a gas viscous force, and the particle running track model is constructed according to the first stress data and the second stress data of the particle.
Drawings
Fig. 1 is a flow chart of a simulation method of free particle motion trajectories in GIS according to an embodiment of the present invention;
FIG. 2 is a schematic diagram illustrating stress analysis before particle jump according to an embodiment of the present invention;
FIG. 3 is a schematic diagram illustrating stress analysis after particle jump according to an embodiment of the present invention;
fig. 4 is a schematic structural diagram of a simulation device for a free particle running track in a GIS according to a second embodiment of the present invention.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Example 1
Referring to fig. 1, a flow chart of a method for simulating a free particle motion trajectory in a GIS according to an embodiment of the present invention is shown, and the method includes steps S101 to S103.
S101, calculating first stress data of particles before taking off; wherein the first force data includes a first coulombic force and a gravitational force.
Preferably, in the embodiment, the particles adopt spherical particles as the study object, so that the particle is closer to the actual situation, and the accuracy and the fitness of simulating the actual situation can be effectively improved. Illustratively, the particles are provided as spherical particles, the material being Al, ρ=2700 kg/m 3, the spherical particles having a radius a=1 mm. Secondly, a GIS unit section mainly comprising a long straight pipeline is adopted as a research object in most areas of the cavity far away from the interface of the insulator and the pipeline, and an axial uneven electric field can be ignored. Illustratively, the GIS has a busbar diameter of 18mm and an outer shell inner radius of 88mm.
In an alternative embodiment, the inter-electrode electric field strength is obtained from equation (1) in advance according to GIS device parameters:
wherein E is the electric field intensity between the electrodes, U is the effective value of power frequency voltage applied on the GIS, R 1 is the inner radius of the GIS shell, R 2 is the radius of the GIS busbar, and x is the distance between the particles and the GIS shell.
Referring to fig. 2, a schematic diagram of force analysis before particle jump according to an embodiment of the present invention is shown, specifically, step S101 includes:
The gravity of the particles is obtained according to formula (2):
Wherein G is the gravity of the particles, a is the radius of the particles, ρ is the density of the particulate material, G is the gravitational acceleration, g=9.8 m/s 2;
the distance between the particles in the inter-electrode electric field intensity and the GIS shell is set to be x=0 in advance;
the first coulomb force of the particles is obtained from equation (3) based on the inter-electrode electric field strength:
Fq＝-kqE (3)
wherein F q is the first coulomb force, k is a correction coefficient caused by the mirror force, and q is the charge amount of the particles.
In this embodiment, referring to fig. 2, the particles before the jump are stationary at the bottom of the shell, and the current particles are subjected to stress analysis to obtain a first coulomb force, a gravity force and a supporting force, which are applied to the particles before the jump, so that the first stress data includes the first coulomb force, the gravity force and the supporting force. In the calculation of the first coulomb force, since the particles rest at the bottom of the enclosure, the inter-electrode electric field strength at the position where the particles are located is the calculated value of x=0 of the distance between the particles in formula (1) and the GIS enclosure. In addition, k is a correction coefficient of coulomb force due to image charge, and k=0.832 when the distance between the particles and the electrode is smaller than 5 times the radius of the particles, and k=1 when the particles are farther from the electrode surface. Second, the radius of the spherical conductive particles is far smaller than the gap (a < < R1-R2) between the coaxial cylindrical electrodes.
S102, when the particles meet preset take-off conditions, calculating second stress data of the particles after taking off according to GIS equipment parameters; wherein the second stress data includes a second coulomb force, an electric field gradient force, and a gas viscosity force.
In an alternative embodiment, the determination of whether the particles meet the take-off condition is made by:
judging whether the power frequency voltage applied to the GIS reaches a preset voltage threshold value or not; if the power frequency voltage reaches the voltage threshold, the particles are considered to meet the take-off condition; and if the power frequency voltage does not reach the voltage threshold, the particles are considered to not meet the take-off condition.
In this embodiment, the voltage applied to the GIS bus is a power frequency voltage, and when the power frequency voltage rises to a preset voltage threshold, the first coulomb force of the particles is greater than the gravity force at this time, so that the particles meet the jump condition. The voltage threshold is set according to GIS equipment parameters, and the jump voltage threshold of the spherical particles in the coaxial electrode system for experiments is 29.8kV. Illustratively, whenThe power frequency voltage reaches the voltage threshold, and the particles meet the jump condition.
In an alternative embodiment, step S102 specifically includes:
Calculating a second coulomb force of the particle based on the inter-electrode electric field strength;
Obtaining the electric field gradient force of the particles according to the formula (4):
Wherein F grad is the electric field gradient force, 0 is vacuum dielectric constant, ε r is relative dielectric constant, and r is the radius of the particle; epsilon 0＝8.8542×10-12 F/m, and the relative dielectric constant epsilon ρ =1 of SF6 gas in the GIS.
The gas viscosity of the particles is obtained according to equation (5):
wherein F visc is the gas viscosity, v is the movement velocity of the particles, and Re is the Reynolds number.
Further, referring to fig. 3, a schematic diagram of force analysis after the particles jump is provided in the first embodiment of the present invention, the particles jump and are in a suspension state, and force analysis is performed on the current particles to obtain a second coulomb force, gravity, electric field gradient force and gas viscous force of the particles after the particles jump, so that the second force data includes the second coulomb force, the electric field gradient force and the gas viscous force. In the uneven electric field, the positive and negative charges of the dipoles formed after polarization are subjected to different electrostatic force directions, so that resultant force of the positive and negative charges forms electric field gradient force, and the calculation method is shown in formula (4). For the gas viscosity, the particles start to move after the particles jump in the gap, the particles are subjected to the gas viscosity Fvisc, and the direction of the gas viscosity is opposite to the moving direction of the particles, and the calculation method of the gas viscosity is shown in a formula (5), and the value is an empirical value.
S103, constructing a particle running track model according to the first stress data and the second stress data of the particles, and drawing a particle running track according to the particle running track model.
In a preferred embodiment, step S103 includes:
The particle motion trajectory model is obtained according to the gravity, the second coulomb force, the electric field gradient force and the gas viscous force of the particles and by the formula (6):
Wherein m is the mass of the particle, x is the position of the particle during movement, t is the movement time of the particle, q' is the second coulomb force of the particle.
Further, information such as position, charge quantity and jump height in the particle movement process is obtained, and a particle movement track curve in the particle movement process is drawn based on a particle movement track model. Illustratively, a particle motion state calculation program is programmed by using a linear multi-step algorithm, and a motion equation is solved to obtain a particle motion track. The particle jump limit height is obtained according to the ratio of the applied voltage to the jump voltage. Specifically, if the normalized voltage is defined as the ratio k=u/U off of the applied voltage to the jump voltage, the relation fitting equation of the jump limit height and the normalized voltage is =a (e x-1 -1), a is a constant between 4 and 5, and can be obtained by fitting according to the calculated limit height and the position information.
In an alternative embodiment, if the particles do not collide with the electrodes of the GIS during the movement, a particle movement trajectory model is constructed according to the gravity, the second coulomb force, the electric field gradient force, and the gas viscous force of the particles in step S103.
In another alternative embodiment, if the particles collide with the electrodes of the GIS during the movement, the particle movement trajectory model is constructed by:
when detecting that the particles collide with the electrodes of the GIS in the motion process, re-acquiring the charge quantity of the particles; wherein, the electrode of the GIS is a GIS shell or a GIS bus;
And calculating a second coulomb force of the particles according to the charge quantity of the particles, and constructing a particle running track model according to the first stress data and the second stress data of the particles.
Preferably, the charge amount obtained when the particles collide with the GIS enclosure is calculated according to formula (7):
Or, calculating the charge amount obtained when the particles collide with the GIS bus according to the formula (8):
The charge amount of the particles is related to the power frequency phase at the time of collision, and when the collision time of the particles is located at the power frequency voltage peak, the charge amount of the particles is the largest. The charged amount of the particles in the suspended state is the amount of charge obtained at the time of the previous collision with the electrode.
According to the simulation method of the free particle running track in the GIS, the first stress data of the particles before the jump is calculated, wherein the first stress data comprises the first coulomb force and the gravity, when the particles meet the preset jump condition, the second stress data of the particles after the jump is calculated according to the GIS equipment parameters, wherein the second stress data comprises the second coulomb force, the electric field gradient force and the gas viscous force, the particle running track model is constructed according to the first stress data and the second stress data of the particles, and the particle running track model is drawn according to the particle running track model.
Referring to fig. 4, a schematic structural diagram of a simulation device for a free particle running track in a GIS according to a second embodiment of the present invention includes:
The particle pre-jump stress analysis module 201 is configured to calculate first stress data of the particles before jump; wherein the first force data comprises a first coulomb force and gravity;
The particle post-jump stress analysis module 202 is configured to calculate second stress data of the particles after the jump according to the GIS device parameter when the particles meet a preset jump condition; wherein the second force data includes a second coulomb force, an electric field gradient force, and a gas viscous force;
the particle running track simulation module 203 is configured to construct a particle running track model according to the first stress data and the second stress data of the particles, and draw a particle running track according to the particle running track model.
Preferably, the post-particle jump stress analysis module 202 includes:
The power frequency voltage judging unit is used for judging whether the power frequency voltage applied to the GIS reaches a preset voltage threshold value or not; if the power frequency voltage reaches the voltage threshold, the particles are considered to meet the take-off condition; and if the power frequency voltage does not reach the voltage threshold, the particles are considered to not meet the take-off condition.
Preferably, the particle pre-jump stress analysis module 201 includes:
The inter-electrode electric field intensity calculating unit is used for obtaining the inter-electrode electric field intensity in advance according to GIS equipment parameters by the formula (1):
wherein E is the electric field intensity between the electrodes, U is the effective value of power frequency voltage applied on the GIS, R 1 is the inner radius of the GIS shell, R 2 is the radius of the GIS busbar, and x is the distance between the particles and the GIS shell.
Preferably, the particle pre-jump stress analysis module 201 includes:
A gravity calculation unit for obtaining the gravity of the microparticles according to formula (2):
wherein G is the gravity of the particles, a is the radius of the particles, ρ is the density of the particle material, and G is the gravitational acceleration;
An inter-electrode electric field strength setting unit before particle jump, which is used for setting the distance between the particles in the inter-electrode electric field strength and the GIS shell to be x=0 in advance;
A first coulomb force calculation unit configured to obtain a first coulomb force of the microparticle from equation (3) according to the inter-electrode electric field intensity:
Fq＝-kqE (3)
wherein F q is the first coulomb force, k is a correction coefficient caused by the mirror force, and q is the charge amount of the particles.
Preferably, the post-particle jump stress analysis module 202 includes:
A second coulomb force calculation unit configured to calculate a second coulomb force of the microparticle based on the inter-electrode electric field intensity;
an electric field gradient force calculation unit for obtaining an electric field gradient force of the particles according to formula (4):
Wherein F grad is the electric field gradient force, 0 is vacuum dielectric constant, ε r is relative dielectric constant, and r is the radius of the particle;
A gas viscosity calculation unit for obtaining the gas viscosity of the particles according to formula (5):
wherein F visc is the gas viscosity, v is the movement velocity of the particles, and Re is the Reynolds number.
Preferably, the particle motion trajectory simulation module 203 includes:
The particle running track model calculation unit is used for obtaining the particle running track model according to the gravity, the second coulomb force, the electric field gradient force and the gas viscous force of the particles by the formula (6):
Wherein m is the mass of the particle, x is the position of the particle during movement, t is the movement time of the particle, q' is the second coulomb force of the particle.
Preferably, the particle motion trajectory simulation module 203 includes:
The collision unit is used for acquiring the charged quantity of the particles again when detecting that the particles collide with the electrodes of the GIS in the moving process; wherein, the electrode of the GIS is a GIS shell or a GIS bus;
and the particle running track model reconstruction unit is used for calculating a second coulomb force of the particles according to the charge quantity of the particles and reconstructing a particle running track model according to the first stress data and the second stress data of the particles.
Preferably, the particle motion trajectory simulation module 203 includes:
A first charge amount calculation unit configured to calculate a charge amount obtained when the particles collide with the GIS housing according to formula (7):
A second charge amount calculation unit configured to calculate a charge amount obtained when the particles collide with the GIS bus bar according to formula (8):
The simulation device for the free particle running track in the GIS provided in the second embodiment is used for executing the steps of the simulation method for the free particle running track in the GIS in any one of the above embodiments, and the working principles and beneficial effects of the two are in one-to-one correspondence, so that the description is omitted.
It should be noted that the above-described apparatus embodiments are merely illustrative, and the units described as separate units may or may not be physically separate, and units shown as units may or may not be physical units, may be located in one place, or may be distributed over a plurality of network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment. In addition, in the drawings of the embodiment of the device provided by the invention, the connection relation between the modules represents that the modules have communication connection, and can be specifically implemented as one or more communication buses or signal lines. Those of ordinary skill in the art will understand and implement the present invention without undue burden.
While the foregoing is directed to the preferred embodiments of the present invention, it will be appreciated by those skilled in the art that changes and modifications may be made without departing from the principles of the invention, such changes and modifications are also intended to be within the scope of the invention.
Claims (3)
1. The simulation method of the free particle running track in the GIS is characterized by comprising the following steps of:
Calculating first stress data of the particles before taking off; wherein the first force data comprises a first coulomb force and gravity; the particles are spherical particles and are arranged in most areas of the cavity, which are far away from the insulator and the pipeline interface, of the GIS unit section mainly comprising long straight pipelines;
When the particles meet preset take-off conditions, calculating second stress data of the particles after taking off according to GIS equipment parameters; wherein the second force data includes a second coulomb force, an electric field gradient force, and a gas viscous force;
Constructing a particle running track model according to the first stress data and the second stress data of the particles, and drawing a particle running track according to the particle running track model;
Judging whether the particles meet the jump condition or not through the following steps:
Judging whether the power frequency voltage applied to the GIS reaches a preset voltage threshold value or not; if the power frequency voltage reaches the voltage threshold, the particles are considered to meet the take-off condition; if the power frequency voltage does not reach the voltage threshold, the particles are considered to not meet the take-off condition;
the method further comprises the steps of:
obtaining the electric field intensity between the electrodes according to the GIS equipment parameters in advance by the formula (1):
Wherein E is the electric field intensity between the electrodes, U is the effective value of power frequency voltage applied to the GIS, R 1 is the inner radius of the GIS shell, R 2 is the radius of a GIS busbar, and x is the distance between the particles and the GIS shell;
The first stress data of the particles before taking off is calculated, which specifically comprises the following steps:
The gravity of the particles is obtained according to formula (2):
wherein G is the gravity of the particles, a is the radius of the particles, ρ is the density of the particle material, and G is the gravitational acceleration;
the distance between the particles in the inter-electrode electric field intensity and the GIS shell is set to be x=0 in advance;
the first coulomb force of the particles is obtained from equation (3) based on the inter-electrode electric field strength:
Fq＝-kqE (3)
Wherein F q is the first coulomb force, k is a correction coefficient caused by the mirror force, and q is the charge of the particles;
When the particles meet a preset take-off condition, calculating second stress data of the particles after taking off according to GIS equipment parameters, wherein the second stress data specifically comprises the following steps:
Calculating a second coulomb force of the particle based on the inter-electrode electric field strength;
Obtaining the electric field gradient force of the particles according to the formula (4):
Wherein F grad is the electric field gradient force, ε 0 is vacuum dielectric constant, ε r is relative dielectric constant, and r is the radius of the particle;
The gas viscosity of the particles is obtained according to equation (5):
Wherein F visc is the gas viscosity, v is the movement speed of the particles, and Re is the Reynolds number;
The construction of the particle running track model according to the first stress data and the second stress data of the particles specifically comprises the following steps:
The particle motion trajectory model is obtained according to the gravity, the second coulomb force, the electric field gradient force and the gas viscous force of the particles and by the formula (6):
Wherein m is the mass of the particle, x is the position of the particle during movement, t is the movement time of the particle, and F q ′ is the second coulomb force of the particle.
2. The method of simulating free-particle trajectories in a GIS of claim 1, further comprising:
when detecting that the particles collide with the electrodes of the GIS in the motion process, re-acquiring the charge quantity of the particles; wherein, the electrode of the GIS is a GIS shell or a GIS bus;
And calculating a second coulomb force of the particles according to the charge quantity of the particles, and constructing a particle running track model according to the first stress data and the second stress data of the particles.
3. The method for simulating free particle motion trajectories in GIS according to claim 2, wherein the charged amount of the particles is obtained by:
Calculating the charge amount obtained when the particles collide with the GIS shell according to the formula (7):
Or, calculating the charge amount obtained when the particles collide with the GIS bus according to the formula (8):
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| CN202010762629.5A CN112052618B (en) | 2020-07-31 | 2020-07-31 | Simulation method and device for free particle running track in GIS |
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| CN112052618B true CN112052618B (en) | 2024-04-26 |
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