CN112052618A - 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 method for simulating a free particle running track in a GIS, which comprises the following steps: calculating first stress data of the particles before take-off; wherein the first force data comprises a first coulomb force and a gravitational force; when the particles meet a preset take-off condition, calculating second stress data of the particles after take-off according to GIS equipment parameters; wherein the second force data comprises a second coulomb force, an electric field gradient force, and a gas viscous force; and constructing a particle moving track model according to the first stress data and the second stress data of the particles, and drawing a particle moving track according to the particle moving track model. The invention also discloses a simulation device of the running track of the free particles in the GIS, which can effectively and accurately judge the running track of the particles in the GIS and 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 method and a device for simulating the running track of free particles in a GIS.
Background
Sulfur hexafluoride (SF6) gas with certain pressure is filled in the gas insulated closed combined electrical apparatus (GIS) to be used as an insulating medium. In the GIS, the basin-type insulator is used as a main insulating part and plays roles of insulating support, air chamber isolation and the like. Under the working condition, the insulation failure of defects such as surface cracks of the basin-type insulator is easily caused by expansion after the basin-type insulator operates for a period of time, and the problem of surface flashover discharge in the GIS can be caused, so that the development of research on crack expansion in a strength test of the basin-type insulator is of great significance.
The motion trail 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 because the particle charge quantity is different due to different collision moments of the particles and the polar plate, so that the particle stress condition is influenced, and the particle stress changes along with different time and space. The particle jumping height under the power frequency voltage is limited by the power frequency voltage, and has a limit height under a given voltage. In the existing research aiming at the free particles, the macro electrical parameters are researched a lot, but the track of the particles in the GIS cannot be accurately judged, the motion track of the particles in the GIS can be known, and the method has important significance for analyzing the stability and the control method of the GIS system with particle defects.
Disclosure of Invention
The embodiment of the invention provides a method and a device for simulating 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 effectively improve the calculation efficiency and accuracy of the running simulation of the particles in the GIS.
An embodiment of the present invention provides a method for simulating a free particle movement track in a GIS, including:
calculating first stress data of the particles before take-off; wherein the first force data comprises a first coulomb force and a gravitational force;
when the particles meet a preset take-off condition, calculating second stress data of the particles after take-off according to GIS equipment parameters; wherein the second force data comprises a second coulomb force, an electric field gradient force, and a gas viscous force;
and constructing a particle moving track model according to the first stress data and the second stress data of the particles, and drawing a particle moving track according to the particle moving track model.
As an improvement of the above, whether the fine particles satisfy the take-off condition is judged 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 value, the particles are considered not to meet the take-off condition.
As an improvement of the above, the method further comprises:
obtaining the electric field intensity between electrodes according to a GIS device parameter by a formula (1):
wherein E is the inter-electrode electric field intensity, U is the effective value of the power frequency voltage applied to the GIS, and R is1Is the inner radius, R, of the GIS shell2Is the GIS bus radius, and x is the distance between the particles and the GIS shell.
As an improvement of the above scheme, the calculating the first stress data of the particles before the take-off specifically includes:
the gravity of the particles is obtained according to equation (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 acceleration of gravity;
setting the distance between the particles and the GIS shell in the inter-electrode electric field strength to be 0 in advance;
obtaining a first coulomb force of the particle from equation (3) based on the inter-electrode electric field strength:
Fq＝-kqE (3)
wherein, FqK is a correction coefficient due to an electron microscope image force, and q is a charge amount of the fine particles.
As an improvement of the above scheme, when the particle meets a preset take-off condition, calculating second stress data of the particle after take-off according to GIS device parameters 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, FgradAs a result of the gradient force of the electric field,0in order to have a dielectric constant in a vacuum,rr is the radius of the particle;
obtaining the gas viscosity of the particles according to the formula (5):
wherein, FviscV is the velocity of movement of the particles, and Re is the Reynolds number.
As an improvement of the above scheme, the constructing a particle motion trajectory model according to the first stress data and the second stress data of the particle specifically includes:
obtaining a 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 a 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, Fq' is the second coulomb force of the particle.
As an improvement of the above, the method further comprises:
when the particles are detected to collide with electrodes of the GIS in the moving process, the charge quantity of the particles is obtained again; 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 motion trajectory model according to the first stress data and the second stress data of the particles.
As an improvement of the above, the charge amount of the fine particles is obtained by:
calculating the charge amount obtained when the particles collide with the GIS housing according to equation (7):
or, calculating the charge quantity 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 trajectory in a GIS, including:
the particle pre-take-off stress analysis module is used for calculating first stress data of particles before take-off; wherein the first force data comprises a first coulomb force and a gravitational force;
the after-jump stress analysis module is used for calculating second stress data of the particles after jumping according to GIS equipment parameters when the particles meet a preset jumping condition; wherein the second force data comprises a second coulomb force, an electric field gradient force, and a gas viscous force;
and the particle moving track simulation module is used for constructing a particle moving track model according to the first stress data and the second stress data of the particles and drawing a particle moving track according to the particle moving track model.
Compared with the prior art, the simulation method and the device for the free particle running track in the GIS disclosed by the embodiment of the invention calculate the first stress data of the particle before take-off, wherein the first stress data comprises the first coulomb force and the gravity, when the particle meets the preset take-off condition, the second stress data of the particle after take-off 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 particle, and the particle running track is drawn according to the particle running track model. The calculation efficiency and accuracy of the particle operation simulation in the GIS can be effectively improved.
Drawings
Fig. 1 is a schematic flowchart of a method for simulating a free particle trajectory in a GIS according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a force analysis of a particle before it jumps according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of a force analysis after the microparticle jump according to an embodiment of the present invention;
fig. 4 is a schematic structural diagram of a simulation apparatus for a free particle trajectory in a GIS according to a second embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Example one
Referring to fig. 1, a schematic flow chart of a method for simulating a free particle trajectory in a GIS according to an embodiment of the present invention is shown, where the method includes steps S101 to S103.
S101, calculating first stress data of particles before take-off; wherein the first force-bearing data comprises a first coulomb force and a gravitational force.
Preferably, in the present embodiment, the particles are spherical particles, which are closer to the actual situation, and the accuracy and the degree of contact of the simulation of the actual situation can be effectively improved. Illustratively, the particles are provided as spherical particles, the material is Al, ρ is 2700kg/m3The spherical particle radius a is 1 mm. Secondly, a GIS unit section mainly comprising a long and straight pipeline is used as a research object in a large-part area of a cavity far away from an insulator and a pipeline interface, and an axially uneven electric field can be ignored.Illustratively, the GIS has a bus diameter of 18mm and an internal housing radius of 88 mm.
In an alternative embodiment, the inter-electrode electric field strength is obtained by formula (1) in advance according to the GIS device parameters:
wherein E is the inter-electrode electric field intensity, U is the effective value of the power frequency voltage applied to the GIS, and R is1Is the inner radius, R, of the GIS shell2Is the GIS bus radius, and x is the distance between the particles and the GIS shell.
Referring to fig. 2, which is a schematic view of a force analysis before the microparticle jump provided in the first embodiment of the present invention, specifically, step S101 includes:
the gravity of the particles is obtained according to equation (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 acceleration of gravity, and G is 9.8m/s2；
Setting the distance between the particles and the GIS shell in the inter-electrode electric field strength to be 0 in advance;
obtaining a first coulomb force of the particle from equation (3) based on the inter-electrode electric field strength:
Fq＝-kqE (3)
wherein, FqK is a correction coefficient due to an electron microscope image force, and q is a charge amount of the fine particles.
In this embodiment, referring to fig. 2, the particles before take-off rest at the bottom of the housing, and the current particles are subjected to force analysis to obtain a first coulomb force, a gravity force, and a supporting force that the particles receive before take-off, so that the first force data includes the first coulomb force, the gravity force, and the supporting force. In the calculation of the first coulomb force, since the particles are still at the bottom of the housing, the electric field intensity between the electrodes at the positions of the particles is the calculated value of the distance x between the particles and the GIS housing, which is 0 in the formula (1). Further, when k is a correction coefficient of coulomb force due to mirror charge, k is 0.832 when the distance between the particle and the electrode is less than 5 times the radius of the particle, and k is 1 when the particle is far from the electrode surface. Secondly, the radius of the spherical conductive particles is much smaller than the coaxial cylindrical electrode gap (a < < R1-R2).
S102, when the particles meet a preset take-off condition, calculating second stress data of the particles after take-off according to GIS equipment parameters; wherein the second force data comprises a second coulomb force, an electric field gradient force, and a gas viscous force.
In an alternative embodiment, the determination of whether the particulate meets 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 value, the particles are considered not to 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 is increased to a preset voltage threshold, the first coulomb force of the particles is greater than gravity, and the particles satisfy the take-off condition. The voltage threshold is set according to GIS equipment parameters, and the take-off voltage threshold of the spherical particles in the coaxial electrode system for experiments is 29.8 kV. Illustratively, when
When the power frequency voltage reaches the voltage threshold value, the particles meet the take-off condition.
In an optional 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, FgradAs a result of the gradient force of the electric field,0in order to have a dielectric constant in a vacuum,rr is the radius of the particle;0＝8.8542×10-12f/m, relative dielectric constant of SF6 gas in GISρ＝1。
Obtaining the gas viscosity of the particles according to the formula (5):
wherein, FviscV is the velocity of movement of the particles, and Re is the Reynolds number.
Further, referring to fig. 3, it is a schematic diagram of stress analysis of the microparticles after takeoff, where the microparticles are in a suspended state after takeoff, and are subjected to stress analysis to obtain a second coulomb force, a gravity force, an electric field gradient force, and a gas viscosity force, which are applied to the microparticles after takeoff, and thus the second stress data includes the second coulomb force, the electric field gradient force, and the gas viscosity force. In the nonuniform electric field, the resultant force of the electrostatic forces applied to the positive and negative charges of the dipoles formed after polarization forms an electric field gradient force, and the calculation method is shown in formula (4). For gas viscosity, when the particles start to move after jumping in the gap, the particles will be acted by the gas viscosity Fvisc, and the direction of the gas viscosity is opposite to the particle moving direction, and the calculation method of the gas viscosity is shown in formula (5), and the value is an empirical value.
S103, constructing a particle moving track model according to the first stress data and the second stress data of the particles, and drawing a particle moving track according to the particle moving track model.
In a preferred embodiment, step S103 includes:
obtaining a 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 a 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, Fq' is the second coulomb force of the particle.
Further, information such as position, charge amount and take-off height in the particle motion process is obtained, and a particle motion track curve in the particle motion process is drawn based on the particle motion track model. Illustratively, a linear multi-step algorithm is used for programming a particle motion state calculation program, and a motion equation is solved to obtain a particle motion track. Wherein the particle take-off limit height is obtained from the ratio of the applied voltage to the take-off voltage. Specifically, if the normalized voltage is defined as the ratio K of the applied voltage to the trip voltage, U/UoffThe relation fitting equation of the jump limit height and the normalized voltage is equal to A (e)x-1-1), a being a constant between 4 and 5, which can be fitted to the position information based on the calculated limit heights.
In an alternative embodiment, if the particle does not collide with the electrode of the GIS during the movement process, the particle trajectory model is constructed according to the gravity, the second coulomb force, the electric field gradient force and the gas viscous force of the particle in step S103.
In another alternative embodiment, if the particles collide with the electrodes of the GIS during the movement process, the particle motion trajectory model is constructed by the following steps:
when the particles are detected to collide with electrodes of the GIS in the moving process, the charge quantity of the particles is obtained again; 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 motion trajectory 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 housing is calculated according to the formula (7):
or, calculating the charge quantity obtained when the particles collide with the GIS bus according to the formula (8):
the amount of charge of the particles is related to the power frequency phase at the time of collision, and is the largest when the time of collision of the particles is at the power frequency voltage peak. The charge amount of the particles in a suspended state is the charge amount obtained at the previous collision with the electrode.
The invention provides a simulation method of a free particle running track in a GIS (geographic information System), which is characterized in that first stress data of a particle before take-off is calculated, wherein the first stress data comprises a first coulomb force and gravity, when the particle meets a preset take-off condition, second stress data of the particle after take-off 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, a particle running track model is constructed according to the first stress data and the second stress data of the particle, and a particle running track is drawn according to the particle running track model. The calculation efficiency and accuracy of the particle operation simulation in the GIS can be effectively improved.
Referring to fig. 4, a schematic structural diagram of a simulation apparatus for a free particle trajectory in a GIS according to a second embodiment of the present invention is shown, including:
the particle pre-take-off stress analysis module 201 is used for calculating first stress data of particles before take-off; wherein the first force data comprises a first coulomb force and a gravitational force;
the after-jump particle stress analysis module 202 is used for calculating second stress data of the particles after jumping according to GIS equipment parameters when the particles meet a preset jump-out condition; wherein the second force data comprises a second coulomb force, an electric field gradient force, and a gas viscous force;
and the particle moving track simulation module 203 is configured to construct a particle moving track model according to the first stress data and the second stress data of the particles, and draw a particle moving track according to the particle moving track model.
Preferably, the force analysis module 202 after the microparticle take-off 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; 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 value, the particles are considered not to meet the take-off condition.
Preferably, the particle pre-takeoff force analysis module 201 includes:
and the inter-electrode electric field intensity calculating unit is used for obtaining the inter-electrode electric field intensity by the formula (1) according to the GIS equipment parameters in advance:
wherein E is the inter-electrode electric field intensity, U is the effective value of the power frequency voltage applied to the GIS, and R is1Is the inner radius, R, of the GIS shell2Is the GIS bus radius, and x is the distance between the particles and the GIS shell.
Preferably, the particle pre-takeoff force analysis module 201 includes:
a gravity calculation unit for obtaining the gravity of the particles according to the 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 acceleration of gravity;
the device comprises an inter-electrode electric field strength setting unit before particle take-off, a particle generating unit and a particle generating unit, wherein the inter-electrode electric field strength setting unit is used for setting the distance between the particles and a GIS shell to be 0 in advance in the inter-electrode electric field strength;
a first coulomb force calculation unit for obtaining a first coulomb force of the particles from the inter-electrode electric field strength by formula (3):
Fq＝-kqE (3)
wherein, FqK is a correction coefficient due to an electron microscope image force, and q is a charge amount of the fine particles.
Preferably, the force analysis module 202 after the microparticle take-off includes:
a second coulomb force calculation unit for calculating a second coulomb force of the particles according to the inter-electrode electric field intensity;
an electric field gradient force calculation unit for obtaining the electric field gradient force of the particles according to the formula (4):
wherein, FgradAs a result of the gradient force of the electric field,0in order to have a dielectric constant in a vacuum,rr is the radius of the particle;
a gas viscosity calculating unit for obtaining the gas viscosity of the particles according to the formula (5):
wherein, FviscIs said gasViscosity, v is the speed of movement of the particles, and Re is the reynolds number.
Preferably, the particle motion trajectory simulation module 203 includes:
and the particle moving track model calculation unit is used for obtaining the particle moving track model according to the gravity, the second coulomb force, the electric field gradient force and the gas viscous force of the particles by a 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, Fq' 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 charge quantity of the particles again when the particles are detected to collide with electrodes of the GIS in the movement process; wherein, the electrode of the GIS is a GIS shell or a GIS bus;
and the particle moving track model reconstruction unit is used for calculating a second coulomb force of the particles according to the charge quantity of the particles and constructing a particle moving 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 for calculating a charge amount obtained when the particles collide with the GIS housing according to formula (7):
a second charge amount calculation unit for calculating a charge amount obtained when the particles collide with the GIS bus according to formula (8):
the simulation apparatus for the free particle running track in the GIS provided in the second embodiment is configured to execute the steps of the simulation method for the free particle running track in the GIS according to any one of the above embodiments, and working principles and beneficial effects of the two are in one-to-one correspondence, so that details are not repeated.
It should be noted that the above-described device embodiments are merely illustrative, where the units described as separate parts may or may not be physically separate, and the parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on multiple network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of the present embodiment. In addition, in the drawings of the embodiment of the apparatus provided by the present invention, the connection relationship between the modules indicates that there is a communication connection between them, and may be specifically implemented as one or more communication buses or signal lines. One of ordinary skill in the art can understand and implement it without inventive effort.
While the foregoing is directed to the preferred embodiment of the present invention, it will be understood by those skilled in the art that various changes and modifications may be made without departing from the spirit and scope of the invention.
Claims (9)
1. A method for simulating a free particle running track in a GIS (gas insulated switchgear) is characterized by comprising the following steps:
calculating first stress data of the particles before take-off; wherein the first force data comprises a first coulomb force and a gravitational force;
when the particles meet a preset take-off condition, calculating second stress data of the particles after take-off according to GIS equipment parameters; wherein the second force data comprises a second coulomb force, an electric field gradient force, and a gas viscous force;
and constructing a particle moving track model according to the first stress data and the second stress data of the particles, and drawing a particle moving track according to the particle moving track model.
2. The method for simulating a free particle travel track within a GIS of claim 1 wherein said determining whether said particle satisfies said take-off condition is performed 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 value, the particles are considered not to meet the take-off condition.
3. The method of simulating a free particle trajectory within a GIS of claim 1, further comprising:
obtaining the electric field intensity between electrodes according to a GIS device parameter by a formula (1):
wherein E is the inter-electrode electric field intensity, U is the effective value of the power frequency voltage applied to the GIS, and R is1Is the inner radius, R, of the GIS shell2Is the GIS bus radius, and x is the distance between the particles and the GIS shell.
4. The method for simulating a free particle trajectory within a GIS of claim 3, wherein said calculating the first force data of the particle before the take-off specifically comprises:
the gravity of the particles is obtained according to equation (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 acceleration of gravity;
setting the distance between the particles and the GIS shell in the inter-electrode electric field strength to be 0 in advance;
obtaining a first coulomb force of the particle from equation (3) based on the inter-electrode electric field strength:
Fq＝-kqE (3)
wherein, FqK is a correction coefficient due to an electron microscope image force, and q is a charge amount of the fine particles.
5. The method for simulating a free particle running track in a GIS according to claim 4, wherein when the particle meets a preset take-off condition, calculating second stress data of the particle after take-off according to GIS equipment parameters, specifically comprising:
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, FgradAs a result of the gradient force of the electric field,0in order to have a dielectric constant in a vacuum,rr is the radius of the particle;
obtaining the gas viscosity of the particles according to the formula (5):
wherein, FviscV is the velocity of movement of the particles, and Re is the Reynolds number.
6. The method for simulating a free particle trajectory within a GIS of claim 5, wherein said constructing a particle trajectory model based on said first force data and said second force data of said particle comprises:
obtaining a 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 a 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, Fq' is the second coulomb force of the particle.
7. The method of simulating a free particle trajectory within a GIS of claim 1, further comprising:
when the particles are detected to collide with electrodes of the GIS in the moving process, the charge quantity of the particles is obtained again; 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 motion trajectory model according to the first stress data and the second stress data of the particles.
8. The method for simulating a free particle travel track within a GIS of claim 7 wherein the charge of said particles is obtained by:
calculating the charge amount obtained when the particles collide with the GIS housing according to equation (7):
or, calculating the charge quantity obtained when the particles collide with the GIS bus according to the formula (8):
9. a simulation device for free particle travel track in a GIS (gas insulated switchgear), which is characterized by comprising:
the particle pre-take-off stress analysis module is used for calculating first stress data of particles before take-off; wherein the first force data comprises a first coulomb force and a gravitational force;
the after-jump stress analysis module is used for calculating second stress data of the particles after jumping according to GIS equipment parameters when the particles meet a preset jumping condition; wherein the second force data comprises a second coulomb force, an electric field gradient force, and a gas viscous force;
and the particle moving track simulation module is used for constructing a particle moving track model according to the first stress data and the second stress data of the particles and drawing a particle moving track according to the particle moving track model.
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