CN109492339B - Arc model construction method and system - Google Patents
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Abstract
The application discloses an arc model construction method and system, wherein the method comprises the steps of calculating arc conductance according to obtained arc data, then obtaining a mayr arc resistor and a cassie arc resistor, setting a proportionality coefficient, and obtaining an arc stabilizing resistor by connecting the mayr arc resistor and the cassie arc resistor in series according to the proportionality coefficient. A first functional relation and a second functional relation are then established. And finally, constructing an arc model based on a principle equation of a mayr arc model and a principle equation of a cassette arc model according to the first functional relation and the second functional relation. Compared with the prior art, the arc model constructed by the method is wide in application range, the arc model can be dynamically constructed aiming at high-resistance arcs and low-resistance arcs flexibly by reasonably setting the proportionality coefficient, accurate simulation of arc voltage and arc current is realized, and the experimental research efficiency of the arcs is effectively improved.
Description
Technical Field
The application relates to the technical field of power system fault detection and protection, in particular to an arc model construction method and system.
Background
During the breaking period of the high-voltage circuit breaker, gaps among contacts of the high-voltage circuit breaker are easy to generate electric arcs due to breakdown, the electric arcs are gas discharge phenomena, and a great threat exists for safe operation of a power system, so that research on the dynamic behaviors of the electric arcs has important significance for improving the breaking performance of the high-voltage circuit breaker and guaranteeing the safe operation of the power system. In the prior art, simulation research is usually carried out on the dynamic behavior of an electric arc through experiments, so that the aim of improving the breaking performance of the high-voltage circuit breaker is further fulfilled.
In the process of carrying out simulation research on the dynamic behavior of an electric arc, the simulation research is generally realized by establishing an electric arc model. The current commonly used arc model is black box modeling, wherein the black box modeling is used for deducing an arc model for researching the dynamic behavior of an arc according to the change process of arc current and arc voltage of a high-voltage circuit breaker in a test by combining a given differential equation. Typical black box models are the cassie arc model and the mayr arc model. From the establishment process, the arc model and the mayr arc model qualitatively describe the arc in a high-current area and a low-current area respectively, that is, the arc model is suitable for performing simulation test research on the arc with low resistance and high current, and the mayr arc model is suitable for performing simulation test research on the arc with high resistance and low current.
However, the inventors found during the research of the present application that the application range of the two arc models in the prior art is relatively small. For the cassie arc model, only the low-resistance arc can be accurately simulated, but the simulation of the high-resistance arc is inaccurate. Similarly, for the mayr arc model, only high-resistance arcs can be accurately simulated, while low-resistance arcs are inaccurately simulated. In the prior art, simulation test research can be conducted on different arc states through two arc models, and in practical application, the research efficiency of the arc test is reduced.
Disclosure of Invention
In order to solve the problem that the arc model provided in the prior art has a smaller application range, so that the research efficiency of an arc test is reduced, the application discloses an arc model construction method and an arc model construction system through the following embodiments.
In a first aspect of the present application, a method for arc model construction is disclosed, comprising:
acquiring arc data, wherein the arc data comprises arc voltage, arc current and arc stable arcing voltage;
acquiring arc conductance according to the arc voltage and the arc current;
acquiring a mayr arc resistor and a cassie arc resistor, setting a proportionality coefficient, and acquiring an arc stabilizing resistor by connecting the mayr arc resistor and the cassie arc resistor in series according to the proportionality coefficient;
establishing a first functional relation according to the arc stable arcing voltage, the proportionality coefficient and the arc stable resistance;
performing function fitting on an arc time constant and dissipation power according to the arc current, the arc stable arcing voltage and the arc conductance, and establishing a second functional relation, wherein the arc time constant comprises a mayr arc time constant and a cassie arc time constant, and the second functional relation comprises a functional relation of the mayr arc time constant, a functional relation of the cassie arc time constant and a functional relation of the dissipation power;
and constructing an arc model based on a principle equation of a mayr arc model and a principle equation of a cassette arc model according to the first functional relation and the second functional relation.
Optionally, the scaling factor includes a first scaling factor and a second scaling factor, where the first scaling factor is a scaling factor of the mayr arc resistor, and the second scaling factor is a scaling factor of the cassie arc resistor.
Alternatively, the arc stabilizing resistance is calculated by the following formula:
R arc ＝K 1 R m +K 2 R c ；
wherein R is arc For the arc stabilizing resistor, K 1 For the first scale factor, K 2 For the second proportionality coefficient, R m R is the mayr arc resistance c For the case arc resistance.
Optionally, the performing a function fit on the time constant of the arc and the dissipation power according to the arc current, the arc stable arcing voltage and the arc conductance to establish a second functional relation, including:
the functional relation of the mayr arc time constant is established by the following formula:
wherein τ m For the mayr arc time constant, i is the arc current, U arc Stabilizing the arcing voltage for the electric arc, wherein g is the electric arc conductance, and t is time;
the functional relation of the cassie arc time constant is established by the following formula:
wherein τ c A time constant for the arc for the cassette;
the functional relation of the dissipated power is established by the following formula:
p＝U arc |i|；
where p is the dissipated power.
Optionally, the principle equation of the mayr arc model is:
wherein g m Is a mayr arc conductance, which is inversely related to the mayr arc resistance, τ m For the mayr arc time constant, u is the arc voltage, i is the arc current, and p is the dissipated power;
the principle equation of the cassette arc model is as follows:
wherein g c Is a casement arc conductance, which is inversely related to the casement arc resistance, τ c For the arc time constant of the cassette, U arc Stabilizing an arcing voltage for the arc.
In a second aspect of the present application, an arc model building system is disclosed, comprising:
the arc data acquisition module is used for acquiring arc data, wherein the arc data comprises arc voltage, arc current and arc stable arcing voltage;
the arc conductance acquisition module is used for acquiring arc conductance according to the arc voltage and the arc current;
the arc stabilizing resistor acquisition module is used for acquiring a mayr arc resistor and a cassie arc resistor, setting a proportionality coefficient and acquiring the arc stabilizing resistor by connecting the mayr arc resistor and the cassie arc resistor in series according to the proportionality coefficient;
the first functional relation establishing module is used for establishing a first functional relation according to the arc stable arcing voltage, the proportionality coefficient and the arc stable resistance;
the second functional relation establishing module is used for performing functional fitting on the time constant of the electric arc and the dissipation power according to the electric arc current, the electric arc stable arcing voltage and the electric arc conductance, and establishing a second functional relation, wherein the time constant of the electric arc comprises a mayr electric arc time constant and a cassie electric arc time constant, and the second functional relation comprises a functional relation of the mayr electric arc time constant, a functional relation of the cassie electric arc time constant and a functional relation of the dissipation power;
and the arc model construction module is used for constructing an arc model based on a principle equation of a mayr arc model and a principle equation of a cassie arc model according to the first functional relation and the second functional relation.
Optionally, the arc stabilizing resistor obtaining module includes:
an arc stabilizing resistance calculation unit for calculating the arc stabilizing resistance by the following formula:
R arc ＝K 1 R m +K 2 R c ；
wherein R is arc For the arc stabilizing resistor, K 1 The first proportional coefficient is the proportional coefficient of the mayr arc resistor, K 2 A second proportionality coefficient which is the proportionality coefficient of the cassie arc resistance, R m R is the mayr arc resistance c For the case arc resistance.
Optionally, the second functional relation establishing module includes:
a mayr arc time constant functional relation establishing unit for establishing a functional relation of the mayr arc time constant by the following formula:
wherein τ m For the mayr arc time constant, i is the arc current, U arc Stabilizing the arcing voltage for the electric arc, wherein g is the electric arc conductance, and t is time;
a case arc time constant functional relation establishing unit for establishing the functional relation of the case arc time constant by the following formula:
wherein τ c A time constant for the arc for the cassette;
a dissipated power functional relation establishing unit for establishing a functional relation of the dissipated power by the following formula:
p＝U arc |i|；
where p is the dissipated power.
The method is based on a cassette arc model and a mayr arc model in the prior art, the mayr arc resistor and the cassette arc resistor are connected in series according to a certain proportionality coefficient, different arc stabilizing arc resistances are obtained by setting the size of the proportionality coefficient, and the arc model can be built on the basis of the different arc stabilizing resistances. Compared with a cassette arc model suitable for a low-resistance arc state and a mayr arc model suitable for a high-resistance arc state in the prior art, the arc model constructed by the method is wide in application range, can be flexibly constructed aiming at the high-resistance arc and the low-resistance arc by reasonably setting the proportionality coefficient, realizes accurate simulation of arc voltage and arc current, and effectively improves experimental research efficiency of the arc.
Drawings
In order to more clearly illustrate the technical solutions of the present application, the drawings that are needed in the embodiments will be briefly described below, and it will be obvious to those skilled in the art that other drawings can be obtained from these drawings without inventive effort.
FIG. 1 is a schematic workflow diagram of an arc model construction method disclosed in an embodiment of the present application;
FIG. 2 is an arc simulation waveform diagram of an established arc model using an arc model construction method disclosed in an embodiment of the present application;
fig. 3 is a schematic structural diagram of an arc model building system according to an embodiment of the present application.
Detailed Description
In order to solve the problem that the arc model provided in the prior art has a smaller application range, so that the research efficiency of an arc test is reduced, the application discloses an arc model construction method and an arc model construction system through the following embodiments.
The first embodiment of the application discloses an arc model construction method, referring to a workflow diagram shown in fig. 1, the method includes:
in step S11, arc data including an arc voltage, an arc current, and an arc stable arcing voltage is acquired.
Specifically, in actual operation, arc data is obtained by performing an electrode arcing experiment, and the process of the electrode arcing experiment is as follows: first, a copper electrode and a carbon electrode are set in contact, and then, the copper electrode is pulled by a motor, thereby generating an arc. And measuring the arc generated during the electrode arc discharge experiment to obtain a series of arc data such as arc voltage, arc current, arc stable arcing voltage and the like.
And step S12, acquiring arc conductance according to the arc voltage and the arc current.
Specifically, according to the arc voltage and the arc current, arc conductance is calculated by the following formula:
wherein g is the arc conductance, i is the arc current, and u is the arc voltage.
And S13, acquiring a mayr arc resistor and a cassie arc resistor, setting a proportionality coefficient, and acquiring an arc stabilizing resistor by connecting the mayr arc resistor and the cassie arc resistor in series according to the proportionality coefficient.
The arc model to be constructed is formed by connecting two nonlinear arc resistors Rm and Rc in series, and the arc model can overcome the defects of a single arc model, a single arc model and a single-proportion arc model by connecting the arc model with the arc model according to the preset proportionality coefficient in series, and in practical application, different arc stabilizing resistors can be obtained by adjusting the proportionality coefficient.
And step S14, establishing a first functional relation according to the arc stabilizing arcing voltage, the proportionality coefficient and the arc stabilizing resistance.
Specifically, when the arc voltage is constant, varying the scaling factor will result in a different arc stabilizing resistance. Based on this, by changing the arc voltage, a relationship among the arc stabilizing resistance, the arc voltage, and the scaling factor will be obtained, and then a functional relation among the arc stabilizing arcing voltage, the scaling factor, and the arc stabilizing resistance, that is, the first functional relation: r is R arc ＝f(U arc K), wherein R is arc For the arc stabilizing resistor, U arc For the arc voltage, K is the scaling factor.
In the process of establishing the first functional relation, the first functional relation can be established by using pscad software, and the pscad software is widely used electromagnetic transient simulation software. Specifically, a plurality of arc stabilizing arcing voltage data are obtained through measurement, the simulated arc stabilizing resistor is equal to the actual arc stabilizing resistor through continuously adjusting the value of the proportionality coefficient, a plurality of different arc stabilizing resistor data are obtained, a plurality of groups of arc stabilizing arcing voltage, arc stabilizing resistor and proportionality coefficient data can be obtained according to the obtained plurality of groups of data, the proportionality coefficients corresponding to different arc voltages are integrated, and a first functional relation is established. Through the established first functional relation, the corresponding arc stabilizing arcing voltage and the proportionality coefficient are selected, so that the unique corresponding arc stabilizing resistance can be determined, and further, the arc stabilizing resistance is aimed at, so that the accurate simulation of the arc voltage and the arc current is realized.
And S15, performing function fitting on the time constant of the arc and the dissipation power according to the arc current, the arc stable arcing voltage and the arc conductance, and establishing a second functional relation, wherein the time constant of the arc comprises a mayr arc time constant and a cassie arc time constant, and the second functional relation comprises a functional relation of the mayr arc time constant, a functional relation of the cassie arc time constant and a functional relation of the dissipation power.
In practice, the time constant of the arc and the dissipated power can be functionally fitted using Origin software, which is a data analysis software.
And S16, constructing an arc model based on a principle equation of a mayr arc model and a principle equation of a cassie arc model according to the first functional relation and the second functional relation.
The second established functional relation is essentially a calculation formula for relevant parameters in a final established arc model, and the final established arc model is a combination of a mayr arc model and a cassette arc model. Thus, the second functional relation is mainly used to calculate the arc time constant and the dissipated power used in the principle equation of the mayr arc model and the principle equation of the cassette arc model.
The utility model discloses an arc model construction method, which is based on a cassette arc model and a mayr arc model in the prior art, wherein the mayr arc resistor and the cassette arc resistor are connected in series according to a certain proportion coefficient, different arc stabilizing arc resistances are obtained by setting the size of the proportion coefficient, and the arc model can be constructed on the basis of the different arc stabilizing resistances. Compared with a cassette arc model suitable for a low-resistance arc state and a mayr arc model suitable for a high-resistance arc state in the prior art, the arc model constructed by the method is wide in application range, can be flexibly constructed aiming at the high-resistance arc and the low-resistance arc by reasonably setting the proportionality coefficient, realizes accurate simulation of arc voltage and arc current, and effectively improves experimental research efficiency of the arc.
Further, the scaling factor includes a first scaling factor and a second scaling factor, the first scaling factor is a scaling factor of the mayr arc resistor, and the second scaling factor is a scaling factor of the cassie arc resistor.
Specifically, the relationship between the first scaling factor and the second scaling factor is: k (K) 1 +K 2 =1, where K 1 For the first scale factor, K 2 Is the second scaling factor. In the first functional relation disclosed in the above, the scaling factor K may be the first scaling factor K 1 May be the second proportionality coefficient K 2 。
Further, the arc stabilizing resistance is calculated by the following formula:
R arc ＝K 1 R m +K 2 R c ；
wherein R is arc For the arc stabilizing resistor, K 1 For the first scale factor, K 2 For the second proportionality coefficient, R m R is the mayr arc resistance c For the case arc resistance.
Further, the performing a function fit on the time constant of the arc and the dissipation power according to the arc current, the arc stable arcing voltage and the arc conductance to establish a second functional relation, including:
the functional relation of the mayr arc time constant is established by the following formula:
wherein τ m For the mayr arc time constant, i is the arc current, U arc Stabilizing the arcing voltage for the electric arc, wherein g is the electric arc conductance, and t is time;
the functional relation of the cassie arc time constant is established by the following formula:
wherein τ c A time constant for the arc for the cassette;
the functional relation of the dissipated power is established by the following formula:
p＝U arc |i|；
where p is the dissipated power.
Further, the method comprises the steps of,
the principle equation of the mayr arc model is as follows:
wherein g m Is a mayr arc conductance, which is inversely related to the mayr arc resistance, τ m For the mayr arc time constant, u is the arc voltage, i is the arc current, and p is the dissipated power;
the principle equation of the cassette arc model is as follows:
wherein g c Is a casement arc conductance, which is inversely related to the casement arc resistance, τ c For the arc time constant of the cassette, U arc Stabilizing an arcing voltage for the arc.
According to the arc model construction method, the Cassie-Mayr arc model with the variable coefficients based on Origin parameter fitting is finally constructed, arc data measured through experiments are analyzed by the arc model through Origin software, and functions of all parameters in the arc model are obtained through a function fitting method. When the arc test system works normally, the arc model has a very high electric conductivity value, which is equivalent to a wire, and can not influence the arc test system. When an electromagnetic transient phenomenon occurs in an arc test system and an arc discharge phenomenon occurs at a circuit fracture or when insulation is weak, the arc model is equivalent to a nonlinear resistor, and the characteristics of the arc near a large current area and a current zero area can be accurately simulated by combining the cassie arc model and the mayr arc model according to a certain proportion and according to the established time constant and the functional relation of the parameters such as dissipation power and the like. Referring to fig. 2, fig. 2 is a waveform diagram for simulating arc voltage and current by using the arc model constructed by the present application, where the abscissa in the diagram is time, the ordinate is arc current or arc voltage, and the corresponding unit is kA or kV, and from the diagram, it can be seen that the arc model constructed by the present application can accurately simulate a test arc, so that the accuracy of line electromagnetic transient simulation calculation can be further improved.
The following are system embodiments of the present application, which may be used to perform method embodiments of the present application. For details not disclosed in the system embodiments of the present application, please refer to the method embodiments of the present application.
Accordingly, another embodiment of the present application discloses an arc model building system, referring to fig. 3, the system includes:
an arc data acquisition module 10 for acquiring arc data including an arc voltage, an arc current, and an arc stable arcing voltage;
an arc conductance obtaining module 20, configured to obtain an arc conductance according to the arc voltage and the arc current;
the arc stabilizing resistance obtaining module 30 is configured to obtain a mayr arc resistance and a casee arc resistance, set a scaling factor, and obtain an arc stabilizing resistance by connecting the mayr arc resistance and the casee arc resistance in series according to the scaling factor;
a first functional relation establishing module 40, configured to establish a first functional relation according to the arc stable arcing voltage, the scaling factor, and the arc stable resistance;
a second functional relation creation module 50, configured to functionally fit a time constant of an arc and a dissipation power according to the arc current, the arc stable arcing voltage, and the arc conductance, and create a second functional relation, where the time constant of the arc includes a mayr arc time constant and a cassie arc time constant, and the second functional relation includes a functional relation of the mayr arc time constant, a functional relation of the cassie arc time constant, and a functional relation of the dissipation power;
the arc model construction module 60 is configured to construct an arc model based on a principle equation of a mayr arc model and a principle equation of a cassie arc model according to the first functional relation and the second functional relation.
Further, the arc stabilizing resistance obtaining module 30 includes:
an arc stabilizing resistance calculation unit for calculating the arc stabilizing resistance by the following formula:
R arc ＝K 1 R m +K 2 R c ；
wherein R is arc For the arc stabilizing resistor, K 1 The first proportional coefficient is the proportional coefficient of the mayr arc resistor, K 2 A second proportionality coefficient which is the proportionality coefficient of the cassie arc resistance, R m R is the mayr arc resistance c For the case arc resistance.
Further, the second functional relation creation module 50 includes:
a mayr arc time constant functional relation establishing unit for establishing a functional relation of the mayr arc time constant by the following formula:
wherein τ m For the mayr arc time constant, i is the arc current, U arc Stabilizing the arcing voltage for the electric arc, wherein g is the electric arc conductance, and t is time;
a case arc time constant functional relation establishing unit for establishing the functional relation of the case arc time constant by the following formula:
wherein τ c A time constant for the arc for the cassette;
a dissipated power functional relation establishing unit for establishing a functional relation of the dissipated power by the following formula:
p＝U arc |i|；
where p is the dissipated power.
It will be apparent to those skilled in the art that the techniques in the embodiments of the present application may be implemented in software plus the necessary general hardware platform. Based on such understanding, the technical solutions in the embodiments of the present application may be embodied in essence or what contributes to the prior art in the form of a software product, which may be stored in a storage medium, such as a ROM/RAM, a magnetic disk, an optical disk, etc., including several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the methods described in the embodiments or some parts of the embodiments of the present application.
The foregoing detailed description has been provided for the purposes of illustration in connection with specific embodiments and exemplary examples, but such description is not to be construed as limiting the application. Those skilled in the art will appreciate that various equivalent substitutions, modifications and improvements may be made to the technical solution of the present application and its embodiments without departing from the spirit and scope of the present application, and these all fall within the scope of the present application. The scope of the application is defined by the appended claims.
Claims (3)
1. The arc model construction method is characterized by comprising the following steps of:
acquiring arc data, wherein the arc data comprises arc voltage, arc current and arc stable arcing voltage;
acquiring arc conductance according to the arc voltage and the arc current;
acquiring a mayr arc resistor and a cassie arc resistor, setting a proportionality coefficient, and acquiring an arc stabilizing resistor by connecting the mayr arc resistor and the cassie arc resistor in series according to the proportionality coefficient;
the scaling factors comprise a first scaling factor and a second scaling factor, wherein the first scaling factor is the scaling factor of the mayr arc resistor, and the second scaling factor is the scaling factor of the cassie arc resistor;
the formula for calculating the arc stabilizing resistance is as follows:
R arc ＝K 1 R m +K 2 R c ；
wherein R is arc For the arc stabilizing resistor, K 1 For the first scale factor, K 2 For the second proportionality coefficient, R m R is the mayr arc resistance c For the cassie arc resistance;
changing an arc voltage to obtain a relation among an arc stabilizing resistor, the arc voltage and a proportionality coefficient, and establishing a first functional relation among the arc stabilizing arcing voltage, the proportionality coefficient and the arc stabilizing resistor: r is R arc ＝f(U arc K), wherein R is arc For the arc stabilizing resistor, U arc K is the proportionality coefficient for the arc voltage;
performing function fitting on an arc time constant and dissipation power according to the arc current, the arc stable arcing voltage and the arc conductance, and establishing a second functional relation, wherein the arc time constant comprises a mayr arc time constant and a cassie arc time constant, and the second functional relation comprises a functional relation of the mayr arc time constant, a functional relation of the cassie arc time constant and a functional relation of the dissipation power;
the functional relation of the mayr arc time constant is established by the following formula:
wherein τ m For the mayr arc time constant, i is the arc current, U arc Stabilizing the arcing voltage for the electric arc, wherein g is the electric arc conductance, and t is time;
the functional relation of the cassie arc time constant is established by the following formula:
wherein τ c A time constant for the arc for the cassette;
the functional relation of the dissipated power is established by the following formula:
p＝U arc i；
wherein p is the dissipated power;
and constructing an arc model based on a principle equation of a mayr arc model and a principle equation of a cassette arc model according to the first functional relation and the second functional relation.
2. The method of claim 1, wherein the step of determining the position of the substrate comprises,
the principle equation of the mayr arc model is as follows:
wherein g m Is a mayr arc conductance, which is inversely related to the mayr arc resistance, τ m For the mayr arc time constant, u is the arc voltage, i is the arc current, and p is the dissipated power;
the principle equation of the cassette arc model is as follows:
wherein g c Is a casement arc conductance, which is inversely related to the casement arc resistance, τ c For the arc time constant of the cassette, U arc Stabilizing an arcing voltage for the arc.
3. An arc model building system, comprising:
the arc data acquisition module is used for acquiring arc data, wherein the arc data comprises arc voltage, arc current and arc stable arcing voltage;
the arc conductance acquisition module is used for acquiring arc conductance according to the arc voltage and the arc current;
the arc stabilizing resistor acquisition module is used for acquiring a mayr arc resistor and a cassie arc resistor, setting a proportionality coefficient and acquiring the arc stabilizing resistor by connecting the mayr arc resistor and the cassie arc resistor in series according to the proportionality coefficient;
the arc stabilizing resistance acquisition module includes:
an arc stabilizing resistance calculation unit for calculating the arc stabilizing resistance by the following formula:
R arc ＝K 1 R m +K 2 R c ；
wherein R is arc For the arc stabilizing resistor, K 1 The first proportional coefficient is the proportional coefficient of the mayr arc resistor, K 2 A second proportionality coefficient which is the proportionality coefficient of the cassie arc resistance, R m R is the mayr arc resistance c For the cassie arc resistance;
a first functional relation establishing module for changing arc voltage to obtain relation among arc stabilizing resistance, arc voltage and proportionality coefficient, and establishing the arc stabilizing arcing powerA first functional relationship between pressure, the scaling factor, and the arc stabilizing resistance: r is R arc ＝f(U arc K), wherein R is arc For the arc stabilizing resistor, U arc K is the proportionality coefficient for the arc voltage;
the second functional relation establishing module is used for performing functional fitting on the time constant of the electric arc and the dissipation power according to the electric arc current, the electric arc stable arcing voltage and the electric arc conductance, and establishing a second functional relation, wherein the time constant of the electric arc comprises a mayr electric arc time constant and a cassie electric arc time constant, and the second functional relation comprises a functional relation of the mayr electric arc time constant, a functional relation of the cassie electric arc time constant and a functional relation of the dissipation power;
the second functional relation establishing module includes:
a mayr arc time constant functional relation establishing unit for establishing a functional relation of the mayr arc time constant by the following formula:
wherein τ m For the mayr arc time constant, i is the arc current, U arc Stabilizing the arcing voltage for the electric arc, wherein g is the electric arc conductance, and t is time;
a case arc time constant functional relation establishing unit for establishing the functional relation of the case arc time constant by the following formula:
wherein τ c A time constant for the arc for the cassette;
a dissipated power functional relation establishing unit for establishing a functional relation of the dissipated power by the following formula:
p＝U arc i；
wherein p is the dissipated power;
and the arc model construction module is used for constructing an arc model based on a principle equation of a mayr arc model and a principle equation of a cassie arc model according to the first functional relation and the second functional relation.
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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 |
|---|
| An improved arc model before current zero based on the combined Mayr and Cassie arc models;J.L. Guardado 等;《 IEEE Transactions on Power Delivery》;20050228;正文第138-142页 * |
| Analysis of arcing fault models;G. Idarraga Ospina 等;《2008 IEEE/PES Transmission and Distribution Conference and Exposition: Latin America》;20080815;正文第1-5页 * |
| 一种高压直流断路器的混合式电弧模型;崔彦青 等;《济南大学学报(自然科学版》;20180126;正文第112-116页 * |
| 中性点非有效接地***故障电弧模型的搭建与仿真;金海望 等;《电力***及其自动化》;20150130;正文第94-95、101 * |
| 串联故障电弧的特征分析与建模研究;张俊康 等;《电工技术》;20170110;正文第30-32页 * |
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