CN109492339A - A kind of Arc Modelling construction method and system - Google Patents
A kind of Arc Modelling construction method and system Download PDFInfo
- Publication number
- CN109492339A CN109492339A CN201811571913.3A CN201811571913A CN109492339A CN 109492339 A CN109492339 A CN 109492339A CN 201811571913 A CN201811571913 A CN 201811571913A CN 109492339 A CN109492339 A CN 109492339A
- Authority
- CN
- China
- Prior art keywords
- arc
- resistance
- cassie
- mayr
- modelling
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
Links
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/30—Circuit design
- G06F30/36—Circuit design at the analogue level
- G06F30/367—Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E60/00—Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
Landscapes
- Engineering & Computer Science (AREA)
- Computer Hardware Design (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Microelectronics & Electronic Packaging (AREA)
- Evolutionary Computation (AREA)
- Geometry (AREA)
- General Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Details Of Resistors (AREA)
Abstract
This application discloses a kind of Arc Modelling construction method and systems, the method is according to acquired arc data, calculate electric arc conductance, then, obtain mayr arc resistance and cassie arc resistance, and Set scale coefficient obtains arc stability resistance by the way that the mayr arc resistance and the cassie arc resistance are connected according to the proportionality coefficient.Then first function relational expression and second function relational expression are established.Finally according to the principle that the first function relational expression and the second function relational expression, the principle equation based on mayr Arc Modelling equation and cassie Arc Modelling construct Arc Modelling.In compared to the prior art, Arc Modelling constructed by the application is applied widely, reasonable Set scale coefficient can be passed through, flexibly it is directed to high resistance electric arc and low resistance electric arc, dynamic construction Arc Modelling, it realizes to the accurate simulation of arc voltage and arc current, effectively increases the experimental study efficiency of electric arc.
Description
Technical field
This application involves Power System Faults Detection and protection technique field more particularly to a kind of Arc Modelling construction methods
And system.
Background technique
In cut-offfing period for high-voltage circuitbreaker, the gap between High Voltage Circuit Breaker Contacts is easy to generate electricity because of breakdown
Arc, electric arc are a kind of gas discharge phenomenons, there is very big threat to the safe operation of electric system, therefore, study the dynamic of electric arc
State behavior ensures that the safe operation of electric system has great importance for the break performance of improvement high-voltage circuitbreaker.It is existing
In technology, usually by test, simulation study is carried out to the dynamic behaviour of electric arc, is opened with further realizing improvement high-voltage circuitbreaker
The purpose of disconnected performance.
During carrying out simulation study to the dynamic behaviour of electric arc, generally realized by establishing Arc Modelling.At present
Common Arc Modelling is black-box modeling, black-box modeling be according to high-voltage circuitbreaker in test arc current and arc voltage
Change procedure derives the Arc Modelling for studying electric arc dynamic behaviour in conjunction with the given differential equation.Typical black box
Model has cassie Arc Modelling and mayr Arc Modelling.From their establishment process it is found that cassie Arc Modelling and
Mayr Arc Modelling is respectively in high current region and small area analysis region qualitative description electric arc, that is to say, that cassie electric arc mould
Type is suitable for carrying out l-G simulation test research to the electric arc of low resistance, high current, and mayr Arc Modelling is suitable for high resistance, small electricity
The electric arc of stream carries out l-G simulation test research.
But inventor has found in the research process of the application, above-mentioned two kinds of Arc Modellings in the prior art are applicable in
Range is smaller.For cassie Arc Modelling, accurate simulation can only be carried out to low-resistance electric arc, and for high resistance electric arc
Emulation it is then inaccurate.Similarly, for mayr Arc Modelling, high-resistance electric arc can only accurately be emulated, and for
The emulation of low resistance electric arc is then inaccurate.Need in the prior art by two kinds of Arc Modellings can for different conditions at the arc into
Row l-G simulation test is studied, and in practical application, reduces arc test Efficiency.
Summary of the invention
In order to which the scope of application for solving provided Arc Modelling in the prior art is smaller, cause to reduce arc test
The problem of Efficiency, the application disclose a kind of Arc Modelling construction method and system by following embodiment.
The application's in a first aspect, disclosing a kind of Arc Modelling construction method, comprising:
Arc data is obtained, the arc data includes arc voltage, arc current and arc stability burning voltage；
According to the arc voltage and the arc current, electric arc conductance is obtained；
Mayr arc resistance and cassie arc resistance, and Set scale coefficient are obtained, by by the mayr electric arc
Resistance and the cassie arc resistance are connected according to the proportionality coefficient, obtain arc stability resistance；
According to the arc stability burning voltage, the proportionality coefficient and the arc stability resistance, the first letter is established
Number relational expression；
It is normal to the time of electric arc according to the arc current, the arc stability burning voltage and the electric arc conductance
Several and dissipated power carries out Function Fitting, establishes second function relational expression, the time constant of the electric arc includes mayr electric arc
Time constant and cassie arc duration constant, the second function relational expression include the letter of the mayr arc duration constant
Number relational expression, the functional relation of the cassie arc duration constant and the functional relation of the dissipated power；
According to the principle that the first function relational expression and the second function relational expression, based on the Arc Modelling side mayr
The principle equation of formula and cassie Arc Modelling constructs Arc Modelling.
Optionally, the proportionality coefficient includes the first proportionality coefficient and the second proportionality coefficient, first proportionality coefficient
For the proportionality coefficient of the mayr arc resistance, second proportionality coefficient is the proportionality coefficient of the cassie arc resistance.
Optionally, it is calculated by the following formula the arc stability resistance:
Rarc=K1Rm+K2Rc；
Wherein, RarcFor the arc stability resistance, K1For first proportionality coefficient, K2For second proportionality coefficient,
RmFor the mayr arc resistance, RcFor the cassie arc resistance.
Optionally, described according to the arc current, the arc stability burning voltage and the electric arc conductance, to electricity
The time constant and dissipated power of arc carry out Function Fitting, establish second function relational expression, comprising:
The functional relation of the mayr arc duration constant is established by following formula:
Wherein, τmFor the mayr arc duration constant, i is the arc current, UarcFor the arc stability arcing electricity
Pressure, g are the electric arc conductance, and t is the time；
The functional relation of the cassie arc duration constant is established by following formula:
Wherein, τcFor the cassie arc duration constant；
The functional relation of the dissipated power is established by following formula:
P=Uarc|i|；
Wherein, p is the dissipated power.
Optionally, the principle equation of the mayr Arc Modelling are as follows:
Wherein, gmFor mayr electric arc conductance, the mayr electric arc conductance and the mayr arc resistance inversely, τm
For the mayr arc duration constant, u is the arc voltage, and i is the arc current, and p is the dissipated power；
The principle equation of the cassie Arc Modelling are as follows:
Wherein, gcFor cassie electric arc conductance, the cassie electric arc conductance is inversely proportional with the cassie arc resistance
Relationship, τcFor the cassie arc duration constant, UarcFor the arc stability burning voltage.
In the second aspect of the application, a kind of Arc Modelling building system is disclosed, comprising:
Arc data obtains module, for obtaining arc data, the arc data include arc voltage, arc current with
And arc stability burning voltage；
Electric arc conductance obtains module, for obtaining electric arc conductance according to the arc voltage and the arc current；
Arc stability resistance obtains module, for obtaining mayr arc resistance and cassie arc resistance, and ratio is arranged
Example coefficient, by the way that the mayr arc resistance and the cassie arc resistance are connected according to the proportionality coefficient,
Obtain arc stability resistance；
First function relation reality module, for according to the arc stability burning voltage, the proportionality coefficient and
The arc stability resistance, establishes first function relational expression；
Second function relation reality module, for according to the arc current, the arc stability burning voltage and
The electric arc conductance, time constant and dissipated power to electric arc carry out Function Fitting, establish second function relational expression, described
The time constant of electric arc includes mayr arc duration constant and cassie arc duration constant, the second function relational expression packet
Include the functional relation of the mayr arc duration constant, the functional relation of the cassie arc duration constant and described
The functional relation of dissipated power；
Arc Modelling constructs module, for according to the first function relational expression and the second function relational expression, base
In the principle equation of mayr Arc Modelling and the principle equation of cassie Arc Modelling, Arc Modelling is constructed.
Optionally, the arc stability resistance acquisition module includes:
Arc stability resistance calculations unit, for being calculated by the following formula the arc stability resistance:
Rarc=K1Rm+K2Rc；
Wherein, RarcFor the arc stability resistance, K1For the first proportionality coefficient, first proportionality coefficient is described
The proportionality coefficient of mayr arc resistance, K2For the second proportionality coefficient, second proportionality coefficient is the cassie arc resistance
Proportionality coefficient, RmFor the mayr arc resistance, RcFor the cassie arc resistance.
Optionally, the second function relation reality module includes:
Mayr arc duration constant function relation reality unit, when for establishing the mayr electric arc by following formula
Between constant functional relation:
Wherein, τmFor the mayr arc duration constant, i is the arc current, UarcFor the arc stability arcing electricity
Pressure, g are the electric arc conductance, and t is the time；
Cassie arc duration constant function relation reality unit, for establishing the cassie electricity by following formula
The functional relation of arc time constant:
Wherein, τcFor the cassie arc duration constant；
Dissipated power functional relation establishes unit, for establishing the functional relation of the dissipated power by following formula
Formula:
P=Uarc|i|；
Wherein, p is the dissipated power.
This application discloses a kind of Arc Modelling construction method and system, the method is based on cassie in the prior art
Arc Modelling and mayr Arc Modelling, by the mayr arc resistance and the cassie arc resistance according to certain ratio
Example coefficient is connected, and by the size of Set scale coefficient, obtains different arc stability arc resistances, and can be in different electricity
On the basis of arc steady resistance, Arc Modelling is constructed.It is suitable for low resistance conditions at the arc in compared to the prior art
Cassie Arc Modelling and mayr Arc Modelling suitable for high resistance conditions at the arc, Arc Modelling constructed by the application are suitable
It is wide with range, high resistance electric arc and low resistance electric arc, dynamic construction can be flexibly directed to by reasonable Set scale coefficient
Arc Modelling is realized to the accurate simulation of arc voltage and arc current, effectively increases the experimental study efficiency of electric arc.
Detailed description of the invention
In order to illustrate more clearly of the technical solution of the application, letter will be made to attached drawing needed in the embodiment below
Singly introduce, it should be apparent that, for those of ordinary skills, without creative efforts, also
Other drawings may be obtained according to these drawings without any creative labor.
Fig. 1 is a kind of workflow schematic diagram of Arc Modelling construction method disclosed in the embodiment of the present application；
Fig. 2 is to use a kind of Arc Modelling construction method disclosed in the embodiment of the present application, the electricity for the Arc Modelling established
Arc simulation waveform；
Fig. 3 is a kind of Arc Modelling building system structure diagram disclosed in the embodiment of the present application.
Specific embodiment
In order to which the scope of application for solving provided Arc Modelling in the prior art is smaller, cause to reduce arc test
The problem of Efficiency, the application disclose a kind of Arc Modelling construction method and system by following embodiment.
The application first embodiment discloses a kind of Arc Modelling construction method, workflow schematic diagram shown in Figure 1,
The described method includes:
Step S11, obtains arc data, and the arc data includes arc voltage, arc current and arc stability combustion
Arc voltage.
Specifically, in actual operation, obtaining arc data, the mistake of electrode arcing experiment by carrying out electrode arcing experiment
Journey are as follows: firstly, copper electrode and carbon electrode are disposed in contact with state, then, copper electrode is pulled by motor, and then generate electricity
Arc.Generated electric arc measures when by testing to electrode arcing, obtains arc voltage, arc current and arc stability
A series of arc datas such as burning voltage.
Step S12 obtains electric arc conductance according to the arc voltage and the arc current.
Specifically, being calculated by the following formula electric arc conductance according to the arc voltage and the arc current:
Wherein, g is the electric arc conductance, and i is the arc current, and u is the arc voltage.
Step S13 obtains mayr arc resistance and cassie arc resistance, and Set scale coefficient, by will be described
Mayr arc resistance and the cassie arc resistance are connected according to the proportionality coefficient, obtain arc stability resistance.
By assuming that the application Arc Modelling to be constructed is that two non-linear arc resistance Rm and Rc are connected in series, press
According to proportionality coefficient set in advance series connection cassie Arc Modelling and mayr Arc Modelling, single cassie electric arc mould can be overcome
The deficiency of the cassie-mayr Arc Modelling of type, mayr Arc Modelling and single ratio in practical application, can pass through tune
Proportionality coefficient is saved, and then obtains different arc stability resistance.
Step S14 is built according to the arc stability burning voltage, the proportionality coefficient and the arc stability resistance
Vertical first function relational expression.
Specifically, changing the proportionality coefficient when one timing of arc voltage, it will obtain different arc stability electricity
Resistance.Based on this, by changing arc voltage, it will obtain between arc stability resistance, arc voltage and the proportionality coefficient
Relationship, and then establish the letter between the arc stability burning voltage, the proportionality coefficient and the arc stability resistance
Number relational expression, i.e., the described first function relational expression: Rarc=f (Uarc, K), wherein RarcFor the arc stability resistance, UarcFor
The arc voltage, K are the proportionality coefficient.
During establishing the first function relational expression, pscad software can be used and established, pscad software
It is a kind of extensive electromagnetic transient simulation software of use.Specifically, multiple arc stability burning voltage data are obtained by measurement,
And the value by constantly regulate proportionality coefficient, keep the arc stability resistance simulated equal with actual arc stability resistance, obtains
Take multiple and different arc stability resistance datas, according to this available multiple groups arc stability burning voltage, arc stability resistance with
And the data of proportionality coefficient integrate proportionality coefficient corresponding under different arc voltages, in turn according to acquired multi-group data
Establish first function relational expression.By the first function relational expression established, choose corresponding arc stability burning voltage and
Proportionality coefficient can determine unique corresponding arc stability resistance, and then be directed to arc stability resistance, accomplish to electric arc electricity
The accurate simulation of pressure and arc current.
Step S15, according to the arc current, the arc stability burning voltage and the electric arc conductance, to electric arc
Time constant and dissipated power carry out Function Fitting, establish second function relational expression, the time constant of the electric arc includes
Mayr arc duration constant and cassie arc duration constant, the second function relational expression include the mayr arc duration
The functional relation of the functional relation of constant, the functional relation of the cassie arc duration constant and the dissipated power
Formula.
In practical application, it is quasi- to time constant and dissipated power the progress function of electric arc that Origin software can be used
It closes, Origin software is a kind of Data Analysis Software.
Step S16 is based on mayr Arc Modelling according to the first function relational expression and the second function relational expression
Principle equation and cassie Arc Modelling principle equation, construct Arc Modelling.
Wherein, the second function relational expression established, substantially for related ginseng in final constructed Arc Modelling
Several calculation formula, final constructed Arc Modelling are the combinations to mayr Arc Modelling and cassie Arc Modelling.Cause
This, second function relational expression is mainly used to calculate the principle equation of mayr Arc Modelling and the principle of cassie Arc Modelling
Used arc duration constant and dissipated power in equation.
This application discloses a kind of Arc Modelling construction method, the method is based on cassie electric arc mould in the prior art
Type and mayr Arc Modelling, by the mayr arc resistance and the cassie arc resistance coefficient according to a certain percentage
It connects, by the size of Set scale coefficient, obtains different arc stability arc resistances, and can be in different arc stabilities
On the basis of resistance, Arc Modelling is constructed.The cassie electric arc suitable for low resistance conditions at the arc in compared to the prior art
Model and mayr Arc Modelling suitable for high resistance conditions at the arc, Arc Modelling constructed by the application is applied widely,
High resistance electric arc and low resistance electric arc can be flexibly directed to by reasonable Set scale coefficient, dynamic construction Arc Modelling,
It realizes to the accurate simulation of arc voltage and arc current, effectively increases the experimental study efficiency of electric arc.
Further, the proportionality coefficient includes the first proportionality coefficient and the second proportionality coefficient, first ratio system
Number is the proportionality coefficient of the mayr arc resistance, and second proportionality coefficient is the ratio system of the cassie arc resistance
Number.
Specifically, the relationship between first proportionality coefficient and second proportionality coefficient are as follows: K1+K2=1, wherein K1
For first proportionality coefficient, K2For second proportionality coefficient.In first function relational expression disclosed in above content, than
Example COEFFICIENT K can be first Proportional coefficient K1, or second Proportional coefficient K2。
Further, it is calculated by the following formula the arc stability resistance:
Rarc=K1Rm+K2Rc；
Wherein, RarcFor the arc stability resistance, K1For first proportionality coefficient, K2For second proportionality coefficient,
RmFor the mayr arc resistance, RcFor the cassie arc resistance.
Further, described according to the arc current, the arc stability burning voltage and the electric arc conductance, it is right
The time constant and dissipated power of electric arc carry out Function Fitting, establish second function relational expression, comprising:
The functional relation of the mayr arc duration constant is established by following formula:
Wherein, τmFor the mayr arc duration constant, i is the arc current, UarcFor the arc stability arcing electricity
Pressure, g are the electric arc conductance, and t is the time；
The functional relation of the cassie arc duration constant is established by following formula:
Wherein, τcFor the cassie arc duration constant；
The functional relation of the dissipated power is established by following formula:
P=Uarc|i|；
Wherein, p is the dissipated power.
Further,
The principle equation of the mayr Arc Modelling are as follows:
Wherein, gmFor mayr electric arc conductance, the mayr electric arc conductance and the mayr arc resistance inversely, τm
For the mayr arc duration constant, u is the arc voltage, and i is the arc current, and p is the dissipated power；
The principle equation of the cassie Arc Modelling are as follows:
Wherein, gcFor cassie electric arc conductance, the cassie electric arc conductance is inversely proportional with the cassie arc resistance
Relationship, τcFor the cassie arc duration constant, UarcFor the arc stability burning voltage.
A kind of Arc Modelling construction method disclosed in the present application, finally constructs the variable system based on Origin parameter fitting
Several Cassie-Mayr Arc Modellings, the Arc Modelling are divided using the arc data that Origin software measures experiment
Analysis, and the function of parameters in Arc Modelling is obtained by the method for Function Fitting.When arc test system worked well,
The Arc Modelling has very high electric conductivity value, is equivalent to conducting wire, will not have an impact to arc test system.When arc test system
Transient Electromagnetic Phenomena occurs in system, goes out or insulate weakness in route fracture and go out to will appear arcing events, at this time electric arc
Model is equivalent to a nonlinear resistance, by combining cassie Arc Modelling and mayr Arc Modelling according to a certain percentage, and
According to the functional relation of the parameters such as the time constant and dissipated power established, can accurately simulate electric arc high current area with
Feature near current zero period.Shown in Figure 2, Fig. 2 is using Arc Modelling constructed by the application, to arc voltage electric current
The waveform diagram emulated, the abscissa in figure are the time, unit s, and ordinate is arc current or arc voltage, accordingly
, unit is kA or kV, as can be seen from the figure Arc Modelling constructed by the application, can be carried out to test electric arc accurate
Emulation, thus can be further improved the accuracy of route electromagnetic transient simulation calculating.
Following is the application system embodiment, can be used for executing the application embodiment of the method.It is real for the application system
Undisclosed details in example is applied, the application embodiment of the method is please referred to.
Correspondingly, another embodiment of the application discloses a kind of Arc Modelling building system, shown in Figure 3, the system
Include:
Arc data obtains module 10, and for obtaining arc data, the arc data includes arc voltage, arc current
And arc stability burning voltage；
Electric arc conductance obtains module 20, for obtaining electric arc conductance according to the arc voltage and the arc current；
Arc stability resistance obtains module 30, for obtaining mayr arc resistance and cassie arc resistance, and is arranged
Proportionality coefficient, by going here and there the mayr arc resistance and the cassie arc resistance according to the proportionality coefficient
Connection obtains arc stability resistance；
First function relation reality module 40, for according to the arc stability burning voltage, the proportionality coefficient with
And the arc stability resistance, establish first function relational expression；
Second function relation reality module 50, for according to the arc current, the arc stability burning voltage with
And the electric arc conductance, time constant and dissipated power to electric arc carry out Function Fitting, establish second function relational expression, institute
The time constant for stating electric arc includes mayr arc duration constant and cassie arc duration constant, the second function relational expression
The functional relation of functional relation, the cassie arc duration constant including the mayr arc duration constant and institute
State the functional relation of dissipated power；
Arc Modelling constructs module 60, is used for according to the first function relational expression and the second function relational expression,
The principle equation of principle equation and cassie Arc Modelling based on mayr Arc Modelling constructs Arc Modelling.
Further, the arc stability resistance acquisition module 30 includes:
Arc stability resistance calculations unit, for being calculated by the following formula the arc stability resistance:
Rarc=K1Rm+K2Rc；
Wherein, RarcFor the arc stability resistance, K1For the first proportionality coefficient, first proportionality coefficient is described
The proportionality coefficient of mayr arc resistance, K2For the second proportionality coefficient, second proportionality coefficient is the cassie arc resistance
Proportionality coefficient, RmFor the mayr arc resistance, RcFor the cassie arc resistance.
Further, the second function relation reality module 50 includes:
Mayr arc duration constant function relation reality unit, when for establishing the mayr electric arc by following formula
Between constant functional relation:
Wherein, τmFor the mayr arc duration constant, i is the arc current, UarcFor the arc stability arcing electricity
Pressure, g are the electric arc conductance, and t is the time；
Cassie arc duration constant function relation reality unit, for establishing the cassie electricity by following formula
The functional relation of arc time constant:
Wherein, τcFor the cassie arc duration constant；
Dissipated power functional relation establishes unit, for establishing the functional relation of the dissipated power by following formula
Formula:
P=Uarc|i|；
Wherein, p is the dissipated power.
It is required that those skilled in the art can be understood that the technology in the embodiment of the present application can add by software
The mode of general hardware platform realize.Based on this understanding, the technical solution in the embodiment of the present application substantially or
Say that the part that contributes to existing technology can be embodied in the form of software products, which can deposit
Storage is in storage medium, such as ROM/RAM, magnetic disk, CD, including some instructions are used so that computer equipment (can be with
It is personal computer, server or the network equipment etc.) execute certain part institutes of each embodiment of the application or embodiment
The method stated.
Combine detailed description and exemplary example that the application is described in detail above, but these explanations are simultaneously
It should not be understood as the limitation to the application.It will be appreciated by those skilled in the art that without departing from the application spirit and scope,
A variety of equivalent substitution, modification or improvements can be carried out to technical scheme and embodiments thereof, these each fall within the application
In the range of.The protection scope of the application is determined by the appended claims.
Claims (8)
1. a kind of Arc Modelling construction method characterized by comprising
Arc data is obtained, the arc data includes arc voltage, arc current and arc stability burning voltage；
According to the arc voltage and the arc current, electric arc conductance is obtained；
Mayr arc resistance and cassie arc resistance, and Set scale coefficient are obtained, by by the mayr arc resistance
And the cassie arc resistance is connected according to the proportionality coefficient, obtains arc stability resistance；
According to the arc stability burning voltage, the proportionality coefficient and the arc stability resistance, first function pass is established
It is formula；
According to the arc current, the arc stability burning voltage and the electric arc conductance, to the time constant of electric arc with
And dissipated power carries out Function Fitting, establishes second function relational expression, the time constant of the electric arc includes mayr arc duration
Constant and cassie arc duration constant, the second function relational expression include that the function of the mayr arc duration constant closes
It is the functional relation of formula, the functional relation of the cassie arc duration constant and the dissipated power；
According to the principle that the first function relational expression and the second function relational expression, based on mayr Arc Modelling equation
And the principle equation of cassie Arc Modelling, construct Arc Modelling.
2. the method according to claim 1, wherein the proportionality coefficient includes the first proportionality coefficient and second
Proportionality coefficient, first proportionality coefficient are the proportionality coefficient of the mayr arc resistance, and second proportionality coefficient is described
The proportionality coefficient of cassie arc resistance.
3. according to the method described in claim 2, it is characterized in that,
It is calculated by the following formula the arc stability resistance:
Rarc=K1Rm+K2Rc；
Wherein, RarcFor the arc stability resistance, K1For first proportionality coefficient, K2For second proportionality coefficient, RmFor
The mayr arc resistance, RcFor the cassie arc resistance.
4. the method according to claim 1, wherein described fire according to the arc current, the arc stability
Arc voltage and the electric arc conductance, time constant and dissipated power to electric arc carry out Function Fitting, establish second function
Relational expression, comprising:
The functional relation of the mayr arc duration constant is established by following formula:
Wherein, τmFor the mayr arc duration constant, i is the arc current, UarcFor the arc stability burning voltage, g
For the electric arc conductance, t is the time；
The functional relation of the cassie arc duration constant is established by following formula:
Wherein, τcFor the cassie arc duration constant；
The functional relation of the dissipated power is established by following formula:
P=Uarc|i|；
Wherein, p is the dissipated power.
5. the method according to claim 1, wherein
The principle equation of the mayr Arc Modelling are as follows:
Wherein, gmFor mayr electric arc conductance, the mayr electric arc conductance and the mayr arc resistance inversely, τmFor institute
Mayr arc duration constant is stated, u is the arc voltage, and i is the arc current, and p is the dissipated power；
The principle equation of the cassie Arc Modelling are as follows:
Wherein, gcFor cassie electric arc conductance, the cassie electric arc conductance and the cassie arc resistance inversely,
τcFor the cassie arc duration constant, UarcFor the arc stability burning voltage.
6. a kind of Arc Modelling constructs system characterized by comprising
Arc data obtains module, and for obtaining arc data, the arc data includes arc voltage, arc current and electricity
Arc stablizes burning voltage；
Electric arc conductance obtains module, for obtaining electric arc conductance according to the arc voltage and the arc current；
Arc stability resistance obtains module, for obtaining mayr arc resistance and cassie arc resistance, and Set scale system
Number is obtained by the way that the mayr arc resistance and the cassie arc resistance are connected according to the proportionality coefficient
Arc stability resistance；
First function relation reality module, for according to the arc stability burning voltage, the proportionality coefficient and described
Arc stability resistance establishes first function relational expression；
Second function relation reality module, for according to the arc current, the arc stability burning voltage and described
Electric arc conductance, time constant and dissipated power to electric arc carry out Function Fitting, establish second function relational expression, the electric arc
Time constant include mayr arc duration constant and cassie arc duration constant, the second function relational expression includes institute
State the functional relation of mayr arc duration constant, the functional relation of the cassie arc duration constant and the dissipation
The functional relation of power；
Arc Modelling constructs module, for being based on according to the first function relational expression and the second function relational expression
The principle equation of mayr Arc Modelling and the principle equation of cassie Arc Modelling construct Arc Modelling.
7. system according to claim 6, which is characterized in that the arc stability resistance obtains module and includes:
Arc stability resistance calculations unit, for being calculated by the following formula the arc stability resistance:
Rarc=K1Rm+K2Rc；
Wherein, RarcFor the arc stability resistance, K1For the first proportionality coefficient, first proportionality coefficient is the mayr electric arc
The proportionality coefficient of resistance, K2For the second proportionality coefficient, second proportionality coefficient is the ratio system of the cassie arc resistance
Number, RmFor the mayr arc resistance, RcFor the cassie arc resistance.
8. system according to claim 6, which is characterized in that the second function relation reality module includes:
Mayr arc duration constant function relation reality unit, it is normal for establishing the mayr arc duration by following formula
Several functional relations:
Wherein, τmFor the mayr arc duration constant, i is the arc current, UarcFor the arc stability burning voltage, g
For the electric arc conductance, t is the time；
Cassie arc duration constant function relation reality unit, when for establishing the cassie electric arc by following formula
Between constant functional relation:
Wherein, τcFor the cassie arc duration constant；
Dissipated power functional relation establishes unit, for establishing the functional relation of the dissipated power by following formula:
P=Uarc|i|；
Wherein, p is the dissipated power.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201811571913.3A CN109492339B (en) | 2018-12-21 | 2018-12-21 | Arc model construction method and system |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201811571913.3A CN109492339B (en) | 2018-12-21 | 2018-12-21 | Arc model construction method and system |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN109492339A true CN109492339A (en) | 2019-03-19 |
| CN109492339B CN109492339B (en) | 2023-06-20 |
Family
ID=65711297
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201811571913.3A Active CN109492339B (en) | 2018-12-21 | 2018-12-21 | Arc model construction method and system |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN109492339B (en) |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113138310A (en) * | 2021-04-30 | 2021-07-20 | 嘉兴恒创电力设计研究院有限公司 | AC arc black box model, computing device and storage medium |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| SU432508A1 (en) * | 1971-04-21 | 1974-06-15 | А. А. Илюхин, А. П. Киселев , А. М. Плахотишин | ARC MODEL FOR DETERMINATION OF EXTREME PATHS IN NETWORKS |
| CN104361196A (en) * | 2014-09-22 | 2015-02-18 | 西南交通大学 | Arc net off-line electric arc mathematical model for calculating train speed |
| CN106443381A (en) * | 2016-09-30 | 2017-02-22 | 中国能源建设集团广东省电力设计研究院有限公司 | Dynamic electric arc model building method and system |
| CN106815441A (en) * | 2017-01-19 | 2017-06-09 | 西南交通大学 | A kind of computational methods of the Traction networks pressure of meter and the multiple offline arcing of EMUs bow net |
| CN108875259A (en) * | 2018-07-05 | 2018-11-23 | 西南交通大学 | A kind of EMU car carries vehicle-pessimistic concurrency control construction method of automatic passing over of neutral section |
-
2018
- 2018-12-21 CN CN201811571913.3A patent/CN109492339B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| SU432508A1 (en) * | 1971-04-21 | 1974-06-15 | А. А. Илюхин, А. П. Киселев , А. М. Плахотишин | ARC MODEL FOR DETERMINATION OF EXTREME PATHS IN NETWORKS |
| CN104361196A (en) * | 2014-09-22 | 2015-02-18 | 西南交通大学 | Arc net off-line electric arc mathematical model for calculating train speed |
| CN106443381A (en) * | 2016-09-30 | 2017-02-22 | 中国能源建设集团广东省电力设计研究院有限公司 | Dynamic electric arc model building method and system |
| CN106815441A (en) * | 2017-01-19 | 2017-06-09 | 西南交通大学 | A kind of computational methods of the Traction networks pressure of meter and the multiple offline arcing of EMUs bow net |
| CN108875259A (en) * | 2018-07-05 | 2018-11-23 | 西南交通大学 | A kind of EMU car carries vehicle-pessimistic concurrency control construction method of automatic passing over of neutral section |
Non-Patent Citations (5)
| Title |
|---|
| G. IDARRAGA OSPINA 等: "Analysis of arcing fault models", 《2008 IEEE/PES TRANSMISSION AND DISTRIBUTION CONFERENCE AND EXPOSITION: LATIN AMERICA》 * |
| J.L. GUARDADO 等: "An improved arc model before current zero based on the combined Mayr and Cassie arc models", 《 IEEE TRANSACTIONS ON POWER DELIVERY》 * |
| 崔彦青 等: "一种高压直流断路器的混合式电弧模型", 《济南大学学报(自然科学版》 * |
| 张俊康 等: "串联故障电弧的特征分析与建模研究", 《电工技术》 * |
| 金海望 等: "中性点非有效接地***故障电弧模型的搭建与仿真", 《电力***及其自动化》 * |
Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113138310A (en) * | 2021-04-30 | 2021-07-20 | 嘉兴恒创电力设计研究院有限公司 | AC arc black box model, computing device and storage medium |
Also Published As
| Publication number | Publication date |
|---|---|
| CN109492339B (en) | 2023-06-20 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Tseng et al. | An experimentally verified hybrid Cassie-Mayr electric arc model for power electronics simulations | |
| Schavemaker et al. | The arc model blockset | |
| Ohtaka et al. | Novel black-box arc model validated by high-voltage circuit breaker testing | |
| Wu et al. | Modeling of current-limiting circuit breakers for the calculation of short-circuit current | |
| CN103400019A (en) | Matlab/Simulink-based alternating current (AC) fault arc simulation method | |
| Andrea et al. | The electric arc as a circuit component | |
| CN113792442B (en) | Modeling analysis method for arc light grounding fault of power distribution network | |
| CN105186491B (en) | A kind of switching manipulation causes the appraisal procedure of power system primary side overvoltage | |
| CN110851950B (en) | Dynamic arc model construction method considering random change of arc length | |
| CN106485009A (en) | The simulation method of transformer winding fault situation under a kind of lightning impulse voltage | |
| Andrea et al. | Model of an electric arc for circuit analysis | |
| CN107194043A (en) | A kind of breaker hf electric arc modeling method | |
| Omran et al. | An intelligent classification method of series arc fault models using deep learning algorithm | |
| Psaras et al. | Review of DC series arc fault testing methods and capability assessment of test platforms for more-electric aircraft | |
| CN109492339A (en) | A kind of Arc Modelling construction method and system | |
| Trondoli et al. | Configurable stochastic model for high impedance faults simulations in electrical distribution systems | |
| CN109387746B (en) | Arc model correction method based on Pearson coefficient | |
| CN110991013A (en) | Modeling method for simulating arc combustion dynamic process | |
| CN109214101B (en) | High-voltage switch arc simulation method based on logic judgment | |
| CN109376490A (en) | A kind of cassie-mayr Simulation of Arc Models method | |
| Van der Sluis et al. | The influence of the arc voltage in synthetic test circuits | |
| CN109117601A (en) | One kind being directed to the modified data processing method of logarithm Simulation of Arc Models data error | |
| Dhahbi-Megriche et al. | Dynamic model of discharge propagation on polluted surfaces under impulse voltages | |
| CN114647921A (en) | Method for simulating latent fault of medium-voltage distribution cable | |
| Alabani et al. | Electrical Characterization and Modeling of High Frequency Arcs for Higher Voltage Aerospace Systems |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |