CN110361636A - A kind of gas Dielectric Breakdown Character prediction technique, device and equipment - Google Patents
A kind of gas Dielectric Breakdown Character prediction technique, device and equipment Download PDFInfo
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- G—PHYSICS
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- 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
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- 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
- G01R31/1263—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 solid or fluid materials, e.g. insulation films, bulk material; of semiconductors or LV electronic components or parts; of cable, line or wire insulation
- G01R31/1281—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 solid or fluid materials, e.g. insulation films, bulk material; of semiconductors or LV electronic components or parts; of cable, line or wire insulation of liquids or gases
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Abstract
In the embodiment of the present application, provide a kind of gas Dielectric Breakdown Character prediction technique, device and equipment, by constructing the kinetics system that gas includes electron dynamics reaction and ion dynamics reaction during discharge, and combine space-time electron avalanche progressions model, obtain the effective ionization coefficient of gas during discharge, finally based on effective ionization coefficient with the changing rule of electric field strength, determine the critical electric field strength of gas, when so that carrying out extraneous application electric field strength to the gas, it can determine the maximum electric field strength that can apply, gas is avoided to face the risk of breakdown, improve the precision of prediction to gas effective ionization coefficient and critical electric field strength, solves the technical issues of existing method does not account for complete kinetics system and do not account for the time course of electron avalanche development.
Description
Technical field
This application involves gas discharge technical field more particularly to a kind of gas Dielectric Breakdown Character prediction technique, device and
Equipment.
Background technique
The Dielectric Breakdown Character of gas is the important attribute of gas.The Dielectric Breakdown Character for predicting gas, to high-voltage circuitbreaker
Insulating Design is of great significance with Performance Evaluation.
However, predicting that the method accuracy of gas Dielectric Breakdown Character is extremely limited, can not accurately simulate electric discharge at this stage
The change procedure of a number of particles in the process.Existing methods deficiency is mainly reflected in following two aspect: firstly, gas discharge mistake
The reaction occurred in journey considers incomplete.Method at this stage is only focused on mostly in electron dynamics part (ionization reaction and suction
Reaction enclosure), do not account for ion dynamics part.In most of electronegative gases, ion dynamics all can be to discharge process
The development of middle electron avalanche has large effect.Second, only consider the steric course of electron avalanche development, does not consider its time mistake
Journey.The movement rate of electronics will be far longer than the movement rate of ion, and the movement of each ion is considered in same time ruler
The lower progress of degree is clearly inaccurate.
Therefore, those skilled in the art are badly in need of proposing a kind of gas Dielectric Breakdown Character prediction technique to solve existing method
Not the technical issues of not accounting for complete kinetics system and not accounting for the time course of electron avalanche development.
Summary of the invention
The embodiment of the present application provides a kind of gas Dielectric Breakdown Character prediction technique, device and equipment, solves existing
Not the technical issues of method does not account for complete kinetics system and does not account for the time course of electron avalanche development.
In view of this, the application first aspect provides a kind of gas Dielectric Breakdown Character prediction technique, which comprises
The kinetics system of gas during discharge is constructed, the kinetics system includes electron dynamics
Reaction and ion dynamics reaction；
Based on space-time electron avalanche progressions model and the kinetics system, the change of number of electrons at any time is calculated
Change function；
It is changed with time function according to the number of electrons, fitting obtains effective ionization coefficient；
Based on effective ionization coefficient with the changing rule of electric field strength, the critical electric field strength of the gas is determined.
Optionally, the electron dynamics reaction includes ionization reaction and adsorption reaction；
The ion dynamics reaction includes desorption reaction enclosure and ion conversion reaction.
Optionally, the space-time electron avalanche progressions model specifically:
Wherein, ρj(x, t) is the number density of ion j,It is that desorption reaction enclosure occurs for i-th kind of unstable anion
Number,It is the number that ion conversion reaction occurs for i-th kind of unstable anion, δijIt is that jth occurs for i-th of unstable anion
The reaction coefficient of a desorption reaction enclosure, vjIt is the drift speed of ion j, βijIt is that j-th of ion occurs for i-th of unstable anion
The reaction coefficient of conversion reaction, α, η are respectively ionization reaction coefficient and adsorption reaction coefficient；
The boundary condition of the space-time electron avalanche progressions model specifically:
ρj(x, 0)=0 and ρe(0, t)=n0D(t)；
Wherein, D (t) is Dirac function.
Optionally, described to be based on space-time electron avalanche progressions model and the kinetics system, electron number is calculated
The mesh function that changes with time specifically includes:
After each reaction coefficient in the kinetics system is substituted into the space-time electron avalanche progressions model, lead to
Space-time electron avalanche progressions model described in finite difference method is crossed, electron number densitiy ρ is obtainede(x, t) solution；
By the electron number densitiy ρe(x, t) solution is integrated, and the variation function that number of electrons changes over time is obtained
Optionally, described to be changed with time function according to the number of electrons, it is specific that fitting obtains effective ionization coefficient
Are as follows:
It is changed with time function n according to the number of electronse(t), fitting obtains effective ionization coefficient νeff/ N, it is described
Effective ionization coefficient
Wherein, N is the number density of gas.
Optionally, it is described based on effective ionization coefficient with the changing rule of electric field strength, determine the critical electricity of the gas
Field intensity specifically:
It is corresponding when by effective ionization coefficient equal to 0 based on effective ionization coefficient with the changing rule of electric field strength
Critical electric field strength of the electric field strength as the gas.
The application second aspect provides a kind of gas Dielectric Breakdown Character prediction meanss, and described device includes:
Construction unit, for constructing the kinetics system of gas during discharge, the kinetics system
Including electron dynamics reaction and ion dynamics reaction；
Electronics is calculated for being based on space-time electron avalanche progressions model and the kinetics system in computing unit
Number changes with time function；
Fitting unit, for being changed with time function according to the number of electrons, fitting obtains effective ionization coefficient；
Determination unit determines the critical of the gas for the changing rule based on effective ionization coefficient with electric field strength
Electric field strength.
Optionally, the electron dynamics reaction includes ionization reaction and adsorption reaction；
The ion dynamics reaction includes desorption reaction enclosure and ion conversion reaction.
Optionally, the determination unit is specifically used for:
It is corresponding when by effective ionization coefficient equal to 0 based on effective ionization coefficient with the changing rule of electric field strength
Critical electric field strength of the electric field strength as the gas.
The application third aspect provides a kind of pre- measurement equipment of gas Dielectric Breakdown Character, and the equipment includes processor and deposits
Reservoir:
Said program code is transferred to the processor for storing program code by the memory；
The processor is used for according to the instruction in said program code, execute as described in above-mentioned first aspect based on when
The step of method of the gas Dielectric Breakdown Character prediction of empty electron avalanche progressions model.
As can be seen from the above technical solutions, the embodiment of the present application has the advantage that
In the embodiment of the present application, a kind of gas Dielectric Breakdown Character prediction technique, device and equipment are provided, passes through building gas
Body includes the kinetics system of electron dynamics reaction and ion dynamics reaction during discharge, and combines space-time electricity
Son collapses progressions model, obtains the effective ionization coefficient of gas during discharge, finally based on effective ionization coefficient with electric-field strength
The changing rule of degree determines the critical electric field strength of gas, can be true when so that carrying out extraneous application electric field strength to the gas
Determine the electric field strength that maximum can apply, gas is avoided to face the risk of breakdown, improve to the effective ionization coefficient of gas and faces
The precision of prediction of boundary's electric field strength solves existing method and does not account for complete kinetics system and do not account for electricity
Son collapses the technical issues of time course of development.
Detailed description of the invention
Fig. 1 is a kind of method flow diagram of gas Dielectric Breakdown Character prediction technique in the embodiment of the present application；
Fig. 2 is a kind of structural schematic diagram of gas Dielectric Breakdown Character prediction meanss in the embodiment of the present application；
Fig. 3 is that a kind of application gas Dielectric Breakdown Character prediction technique provided by the embodiments of the present application is strong to air critical electric field
The comparison diagram for the calculated result that the calculated result and experimental result and other methods of degree obtain；
Fig. 4 is the kinetics system assumption diagram of the gentle air provided in the embodiment of the present invention；
Fig. 5 is to apply a kind of gas Dielectric Breakdown Character prediction technique provided by the embodiments of the present application to different air pressures, difference
The calculated result of the critical electric field strength of gentle air under humidity.
Specific embodiment
In order to make those skilled in the art more fully understand application scheme, below in conjunction in the embodiment of the present application
Attached drawing, the technical scheme in the embodiment of the application is clearly and completely described, it is clear that described embodiment is only this
Apply for a part of the embodiment, instead of all the embodiments.Based on the embodiment in the application, those of ordinary skill in the art exist
Every other embodiment obtained under the premise of creative work is not made, shall fall in the protection scope of this application.
The application devises a kind of gas Dielectric Breakdown Character prediction technique, solves existing method and does not account for completely instead
The technical issues of answering Dynamics System and not accounting for the time course of electron avalanche development.
In order to make it easy to understand, referring to Fig. 1, Fig. 1 is a kind of gas Dielectric Breakdown Character prediction technique in the embodiment of the present application
Method flow diagram, as shown in Figure 1, specifically:
101, the kinetics system of building gas during discharge, the kinetics system include that electronics is dynamic
Mechanics reaction and ion dynamics reaction；
It should be noted that constructing comprehensive kinetics system is the accurate basis for calculating gas Dielectric Breakdown Character.
Due to previous researcher usually only focus on electric power reactive moieties, and often ignore ion dynamics reactive moieties.
And most of electronegative gases, ion dynamics all can have large effect to the development of electron avalanche in discharge process.It inhales
After reaction enclosure, a large amount of anion can be generated in gas, these anions can be divided into stable anion and unstable anion
Two major classes.Unstable anion can release the electronics just adsorbed after a short period of time, when stable anion can be long
Between stable presence.The process that unstable anion releases electronics is known as desorbing reaction enclosure.Unstable anion can also lead to
It crosses and the collision of other gas molecules is converted to stable anion, this process is known as ion conversion reaction.From the point of view of macroscopic view, desorption
Reaction enclosure has direct facilitation to the development of electron avalanche, and ion conversion reaction has indirect inhibition to the development of electron avalanche
Effect.
Therefore, it is essential for constructing comprehensive kinetics system.The kinetics system of the application building
Electron dynamics reaction and ion dynamics reaction are contained, specifically considers ionization reaction, adsorption reaction, desorption simultaneously
Reaction and ion conversion reaction.
For example, reaction response (1)~(3) are that ionization is anti-in the kinetics system of gentle air as shown in Figure 4
It answers, reaction (4)~(8) are adsorption reactions, and reacting (9)~(10) and reaction (13)~(14) is desorption reaction enclosure, are reacted (11)
~(12) and (15)~(18) are ion conversion reactions, and the specific response path expression formula of each reaction is shown in Table 1:
Table 1: the response path expression list of gentle air
102, it is based on space-time electron avalanche progressions model and the kinetics system, number of electrons is calculated at any time
Variation function；
It should be noted that earliest electron avalanche progressions model is to be proposed by Dutchman H.Verhaart in 1984, it should
Model only considers the spatial development process of electron avalanche, while various unstable anions are classified as same class, bear various stabilizations
Ion is also classified as one kind, then in discharge process only have four class particles: cation (p), electronics (e), unstable anion (nu) and
Stablize anion (ns).The expression of electron avalanche model are as follows:
Wherein, ne(x), np(x), nnu(x) and nns(x) be respectively electronics, cation, unstable anion and stablize bear from
The number of son.α, η, δ, β are ionization coefficient, adsorption coefficient, desorption coefficient and ion conversion coefficient, the definition of these coefficients respectively
The number of respective reaction process occurs after direction of an electric field moves 1cm for an electronics (ion).
Do not consider steric course, by different types of unstable anion it is general be classified as one kind, can all influence model
Precision, make its can not in accurate simulation process gas discharge number of electrons change procedure.It, can after being improved based on this two o'clock
To obtain more comprehensive electron avalanche progressions model, i.e., consider that the space-time electron avalanche of room and time development process develops mould simultaneously
Type, the expression of space-time electron avalanche progressions model are as follows:
Wherein, ρj(x, t) is the number density of ion j,It is that desorption reaction enclosure occurs for i-th kind of unstable anion
Number,It is the number that ion conversion reaction occurs for i-th kind of unstable anion, δijIt is that jth occurs for i-th of unstable anion
The reaction coefficient of a desorption reaction enclosure, vjIt is the drift speed of ion j, βijIt is that j-th of ion occurs for i-th of unstable anion
The reaction coefficient of conversion reaction, α, η are respectively ionization reaction coefficient and adsorption reaction coefficient；
The boundary condition of above-mentioned equation are as follows:
ρj(x, 0)=0 and ρe(0, t)=n0D(t)；
Wherein D (t) is Dirac function.
Specifically, the derivation process of space-time electron avalanche progressions model is as follows:
During charged particle moves in field, three processes can mainly occur: transporting, spread and react.For one
A length, width and height are respectively the volume element of dx, dy, dz, and direction of an electric field is parallel with x-axis direction.ρe(x, t) is represented in x position t moment
The electron density of lower volume member, then the transporting due to electronics at time interval Δ t, flows into the electron amount of volume element are as follows:
Diffusion in y-axis and z-axis direction will not influence the diffusion of x-axis direction.We assume that all electronics all concentrate on x
On axis.So in time interval Δ t, since diffusion flows into the electron amount of volume element are as follows:
In time interval Δ t, due to transporting and spreading, the number of electrons of volume element is flowed into are as follows:
Ionization or adsorption reaction occur for these electrons for flowing into volume element, due to ionization and the newly generated electricity of adsorption reaction
Subnumber amount are as follows:
For ion dynamics, the quantity of i-th kind of unstable anion of volume element is flowed into are as follows: (diffusion for ignoring ion)
Different desorption reaction enclosures can often occur for a kind of anion.Assuming that an electronics moves dx under direction of an electric field
It is t1 apart from the required time, an anion moves the time of t1 under direction of an electric field, this anion can be sent out during this
The number of raw desorption reaction enclosure are as follows:
Due to the newly generated number of electrons of desorption reaction enclosure of unstable anion are as follows:
Total electron amount is conservation, then:
It is similar with electronics, the conservation equation of ion populations are as follows:
Our focus is the variation of electronics total number, rather than the spatial and temporal distributions situation of electronics.So we use
The total number of electronics portrays the development of electron avalanche.The expression formula n that number of electrons changes over timee(t) are as follows:
Similarly, anionTotal number are as follows:
Integral is taken to above-mentioned number of electrons conservation equation both sides, is had:
The expression formula for substituting into electronics total number, has:
Abbreviation can obtain:
At infinite place without electronics, so having:
In addition to this, at x=0, electron avalanche just develops, and the variation of the number and number of electrons of electronics is very small,
It can ignore:
So having:
Similar, we can also push away:
Above-mentioned two formula is the expression formula of space-time electron avalanche progressions model.
After each reaction coefficient in the kinetics system is substituted into the space-time electron avalanche progressions model, lead to
Space-time electron avalanche progressions model described in finite difference method is crossed, electron number densitiy ρ is obtainede(x, t) solution；
By the electron number densitiy ρe(x, t) solution is integrated, and the variation function that number of electrons changes over time is obtained
103, it is changed with time function according to the number of electrons, fitting obtains effective ionization coefficient；
It should be noted that exponentially formula increases or successively decreases number of electrons at any time after very short transient state time.Root
It changes with time function n according to number of electronse(t), fitting obtains effective ionization coefficient νeff/ N, effective ionization coefficient
Wherein, N is the number density of gas.
104, the critical electric field strength of the gas is determined with the changing rule of electric field strength based on effective ionization coefficient；
It should be noted that electron avalanche can rapidly develop when effective ionization coefficient is greater than 0；When effective ionization coefficient
When less than 0, electronics total number is reduced rapidly.Based on effective ionization coefficient with the changing rule of electric field strength, it will effectively ionize and be
Number is equal to critical electric field strength of the corresponding electric field strength as gas when 0.When the external world applies electric field strength greater than critical
When electric field strength, electron avalanche can be rapidly developed, and gas can face breakdown risk.
It is as shown in Figures 2 and 3 as a result, provide a kind of gas Dielectric Breakdown Character prediction technique in the embodiment of the present application,
By constructing the kinetics system that gas includes electron dynamics reaction and ion dynamics reaction during discharge, and
In conjunction with space-time electron avalanche progressions model, the effective ionization coefficient of gas during discharge is obtained, finally based on effectively ionization system
Number determines the critical electric field strength of gas with the changing rule of electric field strength, so that carrying out extraneous application electric-field strength to the gas
When spending, it can determine the maximum electric field strength that can apply, avoid gas from facing the risk of breakdown, the method increase to gas
The precision of prediction of effective ionization coefficient and critical electric field strength, solves existing method and does not account for complete kinetics body
The technical issues of being and not accounting for the time course of electron avalanche development.
Referring to Fig. 2, Fig. 2 is a kind of structural schematic diagram of gas Dielectric Breakdown Character prediction meanss in the embodiment of the present application,
As shown in Fig. 2, specifically including:
Construction unit 201, for constructing the kinetics system of gas during discharge, the kinetics body
System includes electron dynamics reaction and ion dynamics reaction；
Electricity is calculated for being based on space-time electron avalanche progressions model and the kinetics system in computing unit 202
Subnumber mesh changes with time function；
Fitting unit 203, for being changed with time function according to the number of electrons, fitting obtains effectively ionizing system
Number；
Determination unit 204 determines facing for the gas for the changing rule based on effective ionization coefficient with electric field strength
Boundary's electric field strength.
Further, the electron dynamics reaction includes ionization reaction and adsorption reaction；
The ion dynamics reaction includes desorption reaction enclosure and ion conversion reaction.
Further, the determination unit 204 is specifically used for:
It is corresponding when by effective ionization coefficient equal to 0 based on effective ionization coefficient with the changing rule of electric field strength
Critical electric field strength of the electric field strength as the gas.
The embodiment of the present application also provides a kind of pre- measurement equipment of gas Dielectric Breakdown Character, the equipment include processor and
Memory:
Said program code is transferred to the processor for storing program code by the memory；
When the processor is used to be based on according to the instruction execution embodiment one in said program code is described in any item
The gas Dielectric Breakdown Character prediction technique of empty electron avalanche progressions model.
It is apparent to those skilled in the art that for convenience and simplicity of description, the system of foregoing description,
The specific work process of device and unit, can refer to corresponding processes in the foregoing method embodiment, and details are not described herein.
The description of the present application and term " first " in above-mentioned attached drawing, " second ", " third ", " the 4th " etc. are (if deposited
) it is to be used to distinguish similar objects, without being used to describe a particular order or precedence order.It should be understood that use in this way
Data are interchangeable under appropriate circumstances, so that embodiments herein described herein for example can be in addition to illustrating herein
Or the sequence other than those of description is implemented.In addition, term " includes " and " having " and their any deformation, it is intended that
Cover it is non-exclusive include, for example, containing the process, method, system, product or equipment of a series of steps or units need not limit
In step or unit those of is clearly listed, but may include be not clearly listed or for these process, methods, produce
The other step or units of product or equipment inherently.
It should be appreciated that in this application, " at least one (item) " refers to one or more, and " multiple " refer to two or two
More than a."and/or" indicates may exist three kinds of relationships, for example, " A and/or B " for describing the incidence relation of affiliated partner
It can indicate: only exist A, only exist B and exist simultaneously tri- kinds of situations of A and B, wherein A, B can be odd number or plural number.Word
Symbol "/" typicallys represent the relationship that forward-backward correlation object is a kind of "or"." at least one of following (a) " or its similar expression, refers to
Any combination in these, any combination including individual event (a) or complex item (a).At least one of for example, in a, b or c
(a) can indicate: a, b, c, " a and b ", " a and c ", " b and c ", or " a and b and c ", and wherein a, b, c can be individually, can also
To be multiple.
In several embodiments provided herein, it should be understood that disclosed system, device and method can be with
It realizes by another way.For example, the apparatus embodiments described above are merely exemplary, for example, the unit
It divides, only a kind of logical function partition, there may be another division manner in actual implementation, such as multiple units or components
It can be combined or can be integrated into another system, or some features can be ignored or not executed.Another point, it is shown or
The mutual coupling, direct-coupling or communication connection discussed can be through some interfaces, the indirect coupling of device or unit
It closes or communicates to connect, can be electrical property, mechanical or other forms.
The unit as illustrated by the separation member may or may not be physically separated, aobvious as unit
The component shown may or may not be physical unit, it can and it is in one place, or may be distributed over multiple
In network unit.It can select some or all of unit therein according to the actual needs to realize the mesh of this embodiment scheme
's.
It, can also be in addition, each functional unit in each embodiment of the application can integrate in one processing unit
It is that each unit physically exists alone, can also be integrated in one unit with two or more units.Above-mentioned integrated list
Member both can take the form of hardware realization, can also realize in the form of software functional units.
If the integrated unit is realized in the form of SFU software functional unit and sells or use as independent product
When, it can store in a computer readable storage medium.Based on this understanding, the technical solution of the application is substantially
The all or part of the part that contributes to existing technology or the technical solution can be in the form of software products in other words
It embodies, which is stored in a storage medium, including some instructions are used so that a computer
Equipment (can be personal computer, server or the network equipment etc.) executes the complete of each embodiment the method for the application
Portion or part steps.And storage medium above-mentioned includes: USB flash disk, mobile hard disk, read-only memory (full name in English: Read-Only
Memory, english abbreviation: ROM), random access memory (full name in English: Random Access Memory, english abbreviation:
RAM), the various media that can store program code such as magnetic or disk.
The above, above embodiments are only to illustrate the technical solution of the application, rather than its limitations；Although referring to before
Embodiment is stated the application is described in detail, those skilled in the art should understand that: it still can be to preceding
Technical solution documented by each embodiment is stated to modify or equivalent replacement of some of the technical features；And these
It modifies or replaces, the spirit and scope of each embodiment technical solution of the application that it does not separate the essence of the corresponding technical solution.
Claims (10)
1. a kind of gas Dielectric Breakdown Character prediction technique characterized by comprising
The kinetics system of gas during discharge is constructed, the kinetics system includes electron dynamics reaction
It is reacted with ion dynamics；
Based on space-time electron avalanche progressions model and the kinetics system, number of electrons is calculated and changes with time letter
Number；
It is changed with time function according to the number of electrons, fitting obtains effective ionization coefficient；
Based on effective ionization coefficient with the changing rule of electric field strength, the critical electric field strength of the gas is determined.
2. the gas Dielectric Breakdown Character prediction technique according to claim 1 based on space-time electron avalanche progressions model, special
Sign is that the electron dynamics reaction includes ionization reaction and adsorption reaction；
The ion dynamics reaction includes desorption reaction enclosure and ion conversion reaction.
3. the gas Dielectric Breakdown Character prediction technique according to claim 1 based on space-time electron avalanche progressions model, special
Sign is, the space-time electron avalanche progressions model specifically:
Wherein, ρj(x, t) is the number density of ion j,It is the number that desorption reaction enclosure occurs for i-th kind of unstable anion,It is the number that ion conversion reaction occurs for i-th kind of unstable anion, δijIt is that i-th of unstable anion occurs j-th
Desorb the reaction coefficient of reaction enclosure, vjIt is the drift speed of ion j, βijIt is that j-th of ion turn occurs for i-th of unstable anion
Change the reaction coefficient of reaction, α, η are respectively ionization reaction coefficient and adsorption reaction coefficient；
The boundary condition of the space-time electron avalanche progressions model specifically:
ρj(x, 0)=0 and ρe(0, t)=n0D(t)；
Wherein, D (t) is Dirac function.
4. the gas Dielectric Breakdown Character prediction technique according to claim 3 based on space-time electron avalanche progressions model, special
Sign is, described to be based on space-time electron avalanche progressions model and the kinetics system, and number of electrons is calculated at any time
Variation function specifically include:
After each reaction coefficient in the kinetics system is substituted into the space-time electron avalanche progressions model, by having
It limits calculus of finite differences and solves the space-time electron avalanche progressions model, obtain electron number densitiy ρe(x, t) solution；
By the electron number densitiy ρe(x, t) solution is integrated, and the variation function that number of electrons changes over time is obtained
5. the gas Dielectric Breakdown Character prediction technique according to claim 4 based on space-time electron avalanche progressions model, special
Sign is, described to be changed with time function according to the number of electrons, and fitting obtains effective ionization coefficient specifically:
It is changed with time function n according to the number of electronse(t), fitting obtains effective ionization coefficient veff/ N, effective electricity
From coefficient
Wherein, N is the number density of gas.
6. the gas Dielectric Breakdown Character prediction technique according to claim 1 based on space-time electron avalanche progressions model, special
Sign is, it is described based on effective ionization coefficient with the changing rule of electric field strength, determine the critical electric field strength tool of the gas
Body are as follows:
Based on effective ionization coefficient with the changing rule of electric field strength, corresponding electric field when by effective ionization coefficient equal to 0
Critical electric field strength of the intensity as the gas.
7. a kind of gas Dielectric Breakdown Character prediction meanss characterized by comprising
Construction unit, for constructing the kinetics system of gas during discharge, the kinetics system includes
Electron dynamics reaction and ion dynamics reaction；
Number of electrons is calculated for being based on space-time electron avalanche progressions model and the kinetics system in computing unit
Change with time function；
Fitting unit, for being changed with time function according to the number of electrons, fitting obtains effective ionization coefficient；
Determination unit determines the critical electric field of the gas for the changing rule based on effective ionization coefficient with electric field strength
Intensity.
8. the gas Dielectric Breakdown Character prediction meanss according to claim 7 based on space-time electron avalanche progressions model, special
Sign is that the electron dynamics reaction includes ionization reaction and adsorption reaction；
The ion dynamics reaction includes desorption reaction enclosure and ion conversion reaction.
9. the gas Dielectric Breakdown Character prediction meanss according to claim 7 based on space-time electron avalanche progressions model, special
Sign is that the determination unit is specifically used for:
Based on effective ionization coefficient with the changing rule of electric field strength, corresponding electric field when by effective ionization coefficient equal to 0
Critical electric field strength of the intensity as the gas.
10. a kind of pre- measurement equipment of gas Dielectric Breakdown Character, which is characterized in that the equipment includes processor and memory:
Said program code is transferred to the processor for storing program code by the memory；
The processor is used to be based on space-time according to the instruction execution in said program code is described in any one of claims 1-6
The gas Dielectric Breakdown Character prediction technique of electron avalanche progressions model.
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| CN201910655973.1A CN110361636A (en) | 2019-07-19 | 2019-07-19 | A kind of gas Dielectric Breakdown Character prediction technique, device and equipment |
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