CN109376490A - A simulation method of cassie-mayr arc model - Google Patents

A simulation method of cassie-mayr arc model Download PDF

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CN109376490A
CN109376490A CN201811514881.3A CN201811514881A CN109376490A CN 109376490 A CN109376490 A CN 109376490A CN 201811514881 A CN201811514881 A CN 201811514881A CN 109376490 A CN109376490 A CN 109376490A
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arc
mayr
resistance
voltage
modelling
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于广辉
邓云坤
彭晶
刘洪文
王科
马仪
王达达
张少泉
陈晓云
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Electric Power Research Institute of Yunnan Power System Ltd
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    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]

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Abstract

This application discloses a kind of cassie-mayr Simulation of Arc Models methods, comprising: and the emulation of MHD electric arc is established by finite element emulation software, is determined under mounting medium, dissipated power and arc voltage, the relationship of arc current of electric arc；Cassier Arc Modelling and the series connection of mayr Arc Modelling, it is assumed that the cassier Arc Modelling and the mayr Arc Modelling are two non-linear arc resistances, establish the relationship of arc resistance and proportionality coefficient；Cassie-mayr Arc Modelling is established by pscad software, establishes the relation function of arc resistance and arc voltage and proportionality coefficient；Simulation parameter is chosen, according to the relation function of the arc resistance and arc voltage and proportionality coefficient, electric arc is emulated.The application by combining cassie Arc Modelling and mayr Arc Modelling according to a certain percentage, feature of the electric arc near high current area and current zero period can accurately be simulated, a kind of applied widely, Arc Modelling that model is simple and simulation accuracy is high is established, simulation efficiency and precision are improved.

Description

A kind of cassie-mayr Simulation of Arc Models method
Technical field
This application involves model emulation technical field, in particular to a kind of cassie-mayr Simulation of Arc Models method.
Background technique
Currently, main model to be used is cassie Arc Modelling, mayr Arc Modelling and base in emulating to electric arc In the improved model and arc resistance model of two kinds of Arc Modellings.But there is certain assumed condition in every kind of model, exist Respective problem.During cassie Arc Modelling is applicable in the high current arcing before being primarily suitable for current over-zero, belong to application During low current in low arc resistance high current occasion, and when mayr model is suitable for current over-zero, more suitable for low current, High arc resistance occasion.Wherein, formula (1) and formula (2) are respectively the principle equation of cassie Arc Modelling, mayr Arc Modelling Formula:
In formula, gcIndicate cassie Arc Modelling conductance, τ indicates that arc duration constant, u indicate arc voltage, ucIndicate electricity Arc stablizes burning voltage, and i indicates arc current, gmIndicate mayr Arc Modelling conductance, p indicates mayr Arc Modelling dissipation work Rate.
In electric arc experiment simulation, due to every kind of model have the shortcomings that it is corresponding, so leading to simulation result and practical wave There is difference to a certain extent, existing Arc Modelling narrow application range in shape.
Summary of the invention
The application's is designed to provide a kind of cassie-mayr Simulation of Arc Models method, to solve existing electric arc mould The problem of type narrow application range.
According to an embodiment of the present application, a kind of cassie-mayr Simulation of Arc Models method is provided, comprising:
The emulation of MHD electric arc is established by finite element emulation software, is determined under mounting medium, the dissipated power and electricity of electric arc Arc voltage, the relationship of arc current；
Cassier Arc Modelling and the series connection of mayr Arc Modelling, it is assumed that the cassier Arc Modelling and mayr electricity Arc model is two non-linear arc resistances, establishes the relationship of arc resistance and proportionality coefficient；
Cassie-mayr Arc Modelling is established by pscad software, according to the dissipated power of the electric arc and electric arc electricity Pressure, arc current relationship, and, the relationship of the arc resistance and proportionality coefficient, establish arc resistance and arc voltage with And the relation function of proportionality coefficient；
Simulation parameter is chosen, according to the relation function of the arc resistance and arc voltage and proportionality coefficient, to electric arc It is emulated.
Further, described that the emulation of MHD electric arc is established by finite element emulation software, determine the electric arc under mounting medium Dissipated power and arc voltage, arc current relationship the step of, comprising:
The MHD model that electric arc is established by finite element software obtains the dissipated power of electric arc, arc current by emulation With the numerical value of arc voltage；
By numerical fitting, the dissipated power of the electric arc and the relationship of arc voltage, arc current are obtained；
Dissipated power and arc voltage, the relationship of arc current of the electric arc are as follows:
P=f (Uarc, i)；
Wherein, P is electric arc dissipated power, UarcTable is arc voltage, and i is arc current.
Further, the relationship of the arc resistance and proportionality coefficient are as follows:
Rarc=K1Rm+K2Rc；
Wherein, RarcFor arc resistance, RmFor mayr arc resistance, RcFor cassie arc resistance, K1For mayr electric arc electricity Hinder proportionality coefficient；K2For cassie arc resistance proportionality coefficient.
Further, the relation function of the arc resistance and arc voltage and proportionality coefficient are as follows:
Rarc=f (Uarc, K1)；
Wherein, RarcFor arc resistance, K1For mayr arc resistance proportionality coefficient, UarcFor arc voltage.
Further, the simulation parameter includes arc voltage and proportionality coefficient.
From the above technical scheme, the embodiment of the present application provides a kind of cassie-mayr Simulation of Arc Models method, Include: that the emulation of MHD electric arc is established by finite element emulation software, determines the dissipated power and electric arc of electric arc under mounting medium The relationship of voltage, arc current；Cassier Arc Modelling and the series connection of mayr Arc Modelling, it is assumed that the cassier Arc Modelling It is two non-linear arc resistances with the mayr Arc Modelling, establishes the relationship of arc resistance and proportionality coefficient；Pass through pscad Software establishes cassie-mayr Arc Modelling, according to the relationship of the dissipated power of the electric arc and arc voltage, arc current, And the relationship of the arc resistance and proportionality coefficient, establish the relationship letter of arc resistance and arc voltage and proportionality coefficient Number；Simulation parameter is chosen, according to the relation function of the arc resistance and arc voltage and proportionality coefficient, electric arc is imitated Very.The cassie-mayr Arc Modelling of variable proportion coefficient provided by the present application based on pscad, when the normal work of pilot system When making, which has very high electric conductivity value, is equivalent to conducting wire, will not operate normally and have an impact to pilot system.When Transient Electromagnetic Phenomena occurs in pilot system, when route fracture goes out or insulate weakness and goes out that arcing events will be will appear, Arc Modelling is equivalent to a nonlinear resistance at this time, by combining cassie Arc Modelling and mayr electric arc according to a certain percentage Model can accurately simulate feature of the electric arc near high current area and current zero period, carry out accurate simulation to test electric arc.This Shen A kind of applied widely, Arc Modelling that model is simple and simulation accuracy is high please be establish, simulation efficiency and precision are improved.
Detailed description of the invention
In order to illustrate the technical solutions in the embodiments of the present application or in the prior art more clearly, below will be to institute in embodiment Attached drawing to be used is needed to be briefly described, it should be apparent that, the accompanying drawings in the following description is only some implementations of the application Example, for those of ordinary skill in the art, without creative efforts, can also obtain according to these attached drawings Obtain other attached drawings.
Fig. 1 is the flow chart according to a kind of cassie-mayr Simulation of Arc Models method shown in the embodiment of the present application；
Fig. 2 is according to the cassie-mayr Arc Modelling based on pscad variable proportion coefficient shown in the embodiment of the present application Structural block diagram；
Fig. 3 is according to the arc voltage current simulations waveform shown in the embodiment of the present application.
Specific embodiment
Refering to fig. 1 to Fig. 3, the embodiment of the present application provides a kind of cassie-mayr Simulation of Arc Models method, comprising:
Step S1, the emulation of MHD electric arc is established by finite element emulation software, determines the dissipation of electric arc under mounting medium The relationship of power and arc voltage, arc current；
Further, described that the emulation of MHD electric arc is established by finite element emulation software, determine the electric arc under mounting medium Dissipated power and arc voltage, arc current relationship the step of, comprising:
The MHD model that electric arc is established by finite element software obtains the dissipated power of electric arc, arc current by emulation With the numerical value of arc voltage；
By numerical fitting, the dissipated power of the electric arc and the relationship of arc voltage, arc current are obtained；
Dissipated power and arc voltage, the relationship of arc current of the electric arc are as follows:
P=f (Uarc, i) and (3)
Wherein, P is electric arc dissipated power, UarcTable is arc voltage, and i is arc current.
Step S2, cassier Arc Modelling and the series connection of mayr Arc Modelling, it is assumed that the cassier Arc Modelling and institute Stating mayr Arc Modelling is two non-linear arc resistances, establishes the relationship of arc resistance and proportionality coefficient；
Fig. 2 is the cassie-mayr Arc Modelling structural block diagram based on pscad variable proportion coefficient.By assuming that Cassie-mayr Arc Modelling is that two non-linear arc resistance Rm and Rc are connected in series, and proportionality coefficient is K1And K2；
By the series connection cassie Arc Modelling of coefficient according to a certain percentage and mayr Arc Modelling, can overcome single The deficiency of the cassie-mayr Arc Modelling of cassie Arc Modelling, mayr Arc Modelling and single ratio.
Further, the relationship of the arc resistance and proportionality coefficient are as follows:
Rarc=K1Rm+K2Rc (4)
Wherein, RarcFor arc resistance, RmFor mayr arc resistance, RcFor cassie arc resistance, K1For mayr electric arc electricity Hinder proportionality coefficient；K2For cassie arc resistance proportionality coefficient.
Step S3, cassie-mayr Arc Modelling is established by pscad software, according to the dissipated power of the electric arc with The relationship of arc voltage, arc current, and, the relationship of the arc resistance and proportionality coefficient establishes arc resistance and electric arc The relation function of voltage and proportionality coefficient；
When one timing of arc voltage numerical value, change proportionality coefficient is K1And K2, then different arc resistances can be obtained, when When changing arc voltage, then the relation function of arc resistance and arc voltage and Proportional coefficient K can be obtained.
Further, the relation function of the arc resistance and arc voltage and proportionality coefficient are as follows:
Rarc=f (Uarc, K1) (5)
Wherein, RarcFor arc resistance, K1For mayr arc resistance proportionality coefficient, UarcFor arc voltage.
Step S4, simulation parameter is chosen, according to the arc resistance and arc voltage and the relation function of proportionality coefficient, Electric arc is emulated.
Further, the simulation parameter includes arc voltage and proportionality coefficient.
It is steady can to uniquely determine corresponding electric arc by choosing corresponding arc voltage and proportionality coefficient refering to Fig. 3 Determine resistance, accomplishes accurate simulation electric arc.
During low current when mayr and cassie model is respectively suitable for current over-zero at present, more it is suitable for small electricity During high current arcing before stream, high arc resistance occasion and current over-zero, belong to applied to low arc resistance high current occasion.By two A model is combined meeting so that applicable surface is wider；And since resistance characteristic, the arc resistance category of two models is presented in electric arc It is divided in series connection, but dividing ratios coefficient is not definite value, so corresponding parameter K can be found by formula (5)1, can Accurately to determine Arc Modelling according to not homologous ray.
From the above technical scheme, the embodiment of the present application provides a kind of cassie-mayr Simulation of Arc Models method, Include: that the emulation of MHD electric arc is established by finite element emulation software, determines the dissipated power and electric arc of electric arc under mounting medium The relationship of voltage, arc current；Cassier Arc Modelling and the series connection of mayr Arc Modelling, it is assumed that the cassier Arc Modelling It is two non-linear arc resistances with the mayr Arc Modelling, establishes the relationship of arc resistance and proportionality coefficient；Pass through pscad Software establishes cassie-mayr Arc Modelling, according to the relationship of the dissipated power of the electric arc and arc voltage, arc current, And the relationship of the arc resistance and proportionality coefficient, establish the relationship letter of arc resistance and arc voltage and proportionality coefficient Number；Simulation parameter is chosen, according to the relation function of the arc resistance and arc voltage and proportionality coefficient, electric arc is imitated Very.The cassie-mayr Arc Modelling of variable proportion coefficient provided by the present application based on pscad, when the normal work of pilot system When making, which has very high electric conductivity value, is equivalent to conducting wire, will not operate normally and have an impact to pilot system.When Transient Electromagnetic Phenomena occurs in pilot system, when route fracture goes out or insulate weakness and goes out that arcing events will be will appear, Arc Modelling is equivalent to a nonlinear resistance at this time, by combining cassie Arc Modelling and mayr electric arc according to a certain percentage Model can accurately simulate feature of the electric arc near high current area and current zero period, carry out accurate simulation to test electric arc.This Shen A kind of applied widely, Arc Modelling that model is simple and simulation accuracy is high please be establish, simulation efficiency and precision are improved.
Those skilled in the art will readily occur to its of the application after considering specification and practicing application disclosed herein Its embodiment.This application is intended to cover any variations, uses, or adaptations of the application, these modifications, purposes or Person's adaptive change follows the general principle of the application and including the undocumented common knowledge in the art of the application Or conventional techniques.The description and examples are only to be considered as illustrative, and the true scope and spirit of the application are by following Claim is pointed out.
It should be understood that the application is not limited to the precise structure that has been described above and shown in the drawings, and And various modifications and changes may be made without departing from the scope thereof.Scope of the present application is only limited by the accompanying claims.

Claims (5)

1.一种cassie-mayr电弧模型仿真方法，其特征在于，包括：1. a cassie-mayr arc model simulation method, is characterized in that, comprises: 通过有限元仿真软件建立MHD电弧仿真，确定在固定介质下，电弧的耗散功率与电弧电压、电弧电流的关系；Establish MHD arc simulation through finite element simulation software, and determine the relationship between arc dissipated power, arc voltage and arc current under a fixed medium; cassier电弧模型和mayr电弧模型串联，假设所述cassier电弧模型和所述mayr电弧模型为两个非线性电弧电阻，建立电弧电阻与比例系数的关系；The cassier arc model and the mayr arc model are connected in series, and it is assumed that the cassier arc model and the mayr arc model are two nonlinear arc resistances, and the relationship between the arc resistance and the proportional coefficient is established; 通过pscad软件建立cassie-mayr电弧模型，根据所述电弧的耗散功率与电弧电压、电弧电流的关系，以及，所述电弧电阻与比例系数的关系，建立电弧电阻与电弧电压以及比例系数的关系函数；The cassie-mayr arc model is established by pscad software, and the relationship between the arc resistance, the arc voltage and the proportional coefficient is established according to the relationship between the dissipation power of the arc and the arc voltage and arc current, as well as the relationship between the arc resistance and the proportional coefficient function; 选取仿真参数，根据所述电弧电阻与电弧电压以及比例系数的关系函数，对电弧进行仿真。The simulation parameters are selected, and the arc is simulated according to the relationship function between the arc resistance, the arc voltage and the proportional coefficient. 2.根据权利要求1所述的方法，其特征在于，所述通过有限元仿真软件建立MHD电弧仿真，确定在固定介质下，电弧的耗散功率与电弧电压、电弧电流的关系的步骤，包括：2. The method according to claim 1, wherein the step of establishing the MHD arc simulation through finite element simulation software, and determining the relationship between the dissipation power of the arc and the arc voltage and the arc current under a fixed medium, comprising: : 通过有限元软件建立电弧的MHD模型，通过仿真，得到电弧的耗散功率，电弧电流和电弧电压的数值；Establish the MHD model of the arc through finite element software, and obtain the values of the arc dissipation power, arc current and arc voltage through simulation; 通过数值拟合，得到所述电弧的耗散功率与电弧电压、电弧电流的关系；Through numerical fitting, the relationship between the dissipated power of the arc and the arc voltage and arc current is obtained; 所述电弧的耗散功率与电弧电压、电弧电流的关系为：The relationship between the dissipation power of the arc and the arc voltage and arc current is: P＝f(Uarc，i)；P=f(U arc , i); 其中，P为电弧耗散功率，Uarc表为电弧电压，i为电弧电流。Among them, P is the arc dissipation power, U arc table is the arc voltage, and i is the arc current. 3.根据权利要求1所述的方法，其特征在于，所述电弧电阻与比例系数的关系为：3. The method according to claim 1, wherein the relationship between the arc resistance and the proportional coefficient is: Rarc＝K1Rm+K2Rc；R arc =K 1 R m +K 2 R c ; 其中，Rarc为电弧电阻，Rm为mayr电弧电阻，Rc为cassie电弧电阻，K1为mayr电弧电阻比例系数；K2为cassie电弧电阻比例系数。Among them, R arc is the arc resistance, R m is the mayr arc resistance, R c is the cassie arc resistance, K 1 is the mayr arc resistance proportional coefficient; K 2 is the cassie arc resistance proportional coefficient. 4.根据权利要求1所述的方法，其特征在于，所述电弧电阻与电弧电压以及比例系数的关系函数为：4. The method according to claim 1, wherein the relationship function of the arc resistance, the arc voltage and the proportional coefficient is: Rarc＝f(Uarc，K1)；R arc =f(U arc , K 1 ); 其中，Rarc为电弧电阻，K1为mayr电弧电阻比例系数，Uarc为电弧电压。Among them, R arc is the arc resistance, K 1 is the mayr arc resistance proportional coefficient, and U arc is the arc voltage. 5.根据权利要求1所述的方法，其特征在于，所述仿真参数包括电弧电压以及比例系数。5. The method of claim 1, wherein the simulation parameters include arc voltage and scale factor.
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Application publication date: 20190222