CN110991013A - Modeling method for simulating arc combustion dynamic process - Google Patents
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Abstract
The invention discloses a modeling method for simulating an arc combustion dynamic process, which divides arc combustion into a pre-combustion arc stage, an arc stable combustion stage and an arc extinguishing stage, and takes a time-varying resistance module access circuit as a timing 0 point, a time period of 0-0.5 ms as a pre-combustion arc stage, a time period of 0.5-2.5 ms as an arc stable combustion stage, and a time period of 2.5-3 ms as an arc extinguishing stage. The modeling method for simulating the arc combustion dynamic process can more accurately simulate the dynamic change of the arc in the actual arc burning process, simplify the simulation modeling process of the arc, more accurately describe the dynamic characteristics of the arc in the actual arc burning process, and can be directly applied to the subsequent related fields of fault detection, protection and the like.
Description
Technical Field
The invention relates to the technical field of power system protection and fault monitoring, in particular to a modeling method for simulating an arc combustion dynamic process.
Background
With the improvement of the power supply quality requirement of a power distribution network, the requirement of people on the voltage quality is higher and higher, and a circuit breaker in a branch circuit of an alternating current filter needs to frequently move to switch a capacitor bank. The circuit breaker breaks down again after switching the high-voltage capacitive circuit, so that the serious accident of explosion of the circuit breaker occurs frequently, and in order to avoid the generation of the serious accident, the high-frequency electric arc caused by the breakdown of the circuit breaker needs to be monitored in real time, so that the modeling of the combustion dynamic process of the real-time monitored high-frequency electric arc becomes the key of the technology; furthermore, the occurrence of faults inside the electrical equipment has an obvious development process, and the development process can be characterized by the dynamic characteristics of arc burning occurring when the faults occur so as to discover the faults inside the electrical equipment in an early stage.
At present, dynamic modeling of electric arcs is mainly divided into two categories, one category is electric arc models represented by classic Mayr models and Cassie models and expressed in a differential equation form, the physical essence of the electric arc models is that transient electric arc voltage (or power) and electric arc steady-state voltage (or power) are dynamically compared, the overall model precision is good, but modeling and building are complicated, the electric arc models are mainly suitable for time domain numerical simulation, and particularly cannot be directly applied to the fields of fault detection and protection and the like needing electric arc expressions.
The other type is an analytical modeling method represented by a sectional arc model and the like, but the existing analytical modeling methods all adopt a simpler sectional linearization modeling thought and cannot effectively represent the nonlinear characteristics of the arc model.
Therefore, how to accurately construct a model of an arc combustion dynamic process, effectively characterize the nonlinear characteristics of arc combustion, and make the nonlinear characteristics conform to the dynamic characteristics of an arc in the actual arc combustion process, so as to be directly applied to the related fields of subsequent fault detection and protection, and the like, is a problem to be solved at present.
Disclosure of Invention
In order to solve the above problems, the present invention provides a modeling method for simulating arc combustion dynamic process.
In order to achieve the purpose, the invention is realized by the following technical scheme:
a modeling method for simulating an arc combustion dynamic process divides arc combustion into a pre-combustion arc stage, an arc stable combustion stage and an arc blowout stage, a time-varying resistance module access circuit is taken as a timing 0 point, a 0-0.5 ms time period is a pre-combustion arc stage, a 0.5-2.5 ms time period is an arc stable combustion stage, and a 2.5-3 ms time period is an arc blowout stage.
Preferably, the arc resistance in the pre-arc stage is realized by a time-varying resistance, and the time-varying characteristic control function is as follows:
wherein R isp1For pre-arc stage arcA resistance; gpIs the arc instantaneous conductance; ii is the absolute value of the arc current; v. ofp15V/cm for each cm of arc gap, 200cm for the arc length, and 2.85 × 10 for α-5；ipThe current peak of the arc.
Preferably, the arc-stabilized burning stage is of low resistance characteristic, and the resistance value is kept constant.
Preferably, the resistance value during the arc-stabilized burning phase is 0.5 ohm.
Preferably, the resistance value of the time-varying resistor in the arc quenching stage is rapidly increased from 0.5 ohm until the arc is completely quenched and becomes infinite, and the time-varying characteristic control function of the arc in the arc quenching stage is as follows:
wherein R isp2For arc resistance in the arc quenching stage, r0For steady-state stage arc resistance, R0τ is the time constant for the resistance before arcing.
Preferably, r0Is 0.5 ohm, R0Is 1012Ohm, τ ═ 1 ns.
Compared with the prior art, the invention has the following advantages:
the modeling method for simulating the arc combustion dynamic process is a method for simulating the arc combustion process based on the time-varying resistance module by combining the traditional time-varying resistance module building mode; the method comprises the steps that three time-varying resistance modules in three stages of arc combustion are equivalent to one time-varying resistance module to simulate the combustion process of the arc, and a time-varying resistance control module built by using a time-varying resistance function is used for simulating the dynamic arc combustion process of the arc;
the modeling method for simulating the arc combustion dynamic process can more accurately simulate the dynamic change of the arc in the actual arc burning process, simplify the simulation modeling process of the arc, more accurately describe the dynamic characteristics of the arc in the actual arc burning process, and can be directly applied to the subsequent related fields of fault detection, protection and the like.
Detailed Description
The invention aims to provide a modeling method for simulating an arc combustion dynamic process, which is realized by the following technical scheme:
a modeling method for simulating an arc combustion dynamic process divides arc combustion into a pre-combustion arc stage, an arc stable combustion stage and an arc blowout stage, a time-varying resistance module access circuit is taken as a timing 0 point, a 0-0.5 ms time period is a pre-combustion arc stage, a 0.5-2.5 ms time period is an arc stable combustion stage, and a 2.5-3 ms time period is an arc blowout stage.
(1) The arc resistance of the pre-arcing stage is realized by adopting a time-varying resistor, and the time-varying characteristic control function of the time-varying resistor is as follows:
wherein R isp1Is an arc resistance in a pre-burning arc stage; gpIs the arc instantaneous conductance; ii is the absolute value of the arc current; v. ofp15V/cm for each cm of arc gap, 200cm for the arc length, and 2.85 × 10 for α-5；ipA current peak of the arc;
(2) the arc stable combustion stage is of low resistance characteristic, and the resistance value is kept unchanged; the resistance value in the stable arc combustion stage is 0.5 ohm;
(3) the resistance value of the time-varying resistor in the arc extinguishing stage is rapidly increased from 0.5 ohm until the arc is completely extinguished and the resistance value is changed into infinity, and the time-varying characteristic control function of the arc in the arc extinguishing stage is as follows:
wherein R isp2For arc resistance in the arc quenching stage, r0For steady-state stage arc resistance, R0Is resistance before arcing, tau is a time constant, where r0Preferably 05 ohm, R0Preferably 1012Ohm, τ is preferably 1 ns.
The invention is further described with reference to specific examples.
Example 1
And (3) establishing an arc model based on simulation software, and simulating the dynamic change process of three stages during arc combustion by using a time-varying resistor in the established dynamic arc model. Before the arc fault does not occur at the fault point, the time-varying resistance element is not connected into the circuit, and the time-varying resistance is immediately connected into the circuit when the arc fault occurs, wherein the time is counted as 0 point of arc time and 3ms of arc time. Wherein, the pre-burning stage control function controls the change of the resistance value of the time-varying resistor within the burning time of 0-0.5 ms; the resistance value of the time-varying resistor is controlled by the parameters of the steady state stage within the arcing time of 0.5-2.5 ms; controlling the change of the resistance value of the time-varying resistor by the control function in the arc extinguishing stage within 2.5-3 ms of arc burning time; the varistor is disconnected from the circuit until the arcing time t becomes 3ms, and the arc is completely extinguished. The whole process of the time-varying resistor from connection to disconnection realizes the modeling of the dynamic process of the arc burning.
An arc dynamic model is built based on electromagnetic transient simulation software, arc current obtained by the built arc dynamic model is shown in the following table 1, and arc voltage values are shown in the following table 2. The total simulation time length is set to be 0.5s, the fault occurs in 0.2484s, and the arcing time length is set to be 3 ms. The pre-arcing stage is 0.5ms, the steady-state stage is 2ms, the arc extinguishing stage is 0.5ms, and the sampling frequency f of the model is 104Hz。
TABLE 1 electric arc current value during electric internal fault arcing process
| Time t(s) | Current value (kA) | Time t(s) | Current value (kA) | Time t(s) | Current value (kA) |
| 0.2484 | 0.0017 | 0.2495 | -2.617 | 0.2506 | 2.8244 |
| 0.2485 | 8.92 | 0.2496 | -5.4201 | 0.2507 | 3.5677 |
| 0.2486 | -0.223 | 0.2497 | 1.035 | 0.2508 | -1.506 |
| 0.2487 | -8.644 | 0.2498 | 3.551 | 0.2509 | -3.192 |
| 0.2488 | -0.67 | 0.2499 | 0.847 | 0.251 | 0.3929 |
| 0.2489 | 6.936 | 0.25 | -3.75 | 0.2511 | 1.5693 |
| 0.249 | 3.811 | 0.2501 | -1.8329 | 0.2512 | 0.0855 |
| 0.2491 | -4.068 | 0.2502 | 4.5263 | 0.2513 | -1.5011 |
| 0.2492 | -3.652 | 0.2503 | 2.638 | 0.2514 | 0 |
| 0.2493 | 2.789 | 0.2504 | -4.556 | ||
| 0.2494 | 5.2005 | 0.2505 | -3.426 |
TABLE 2 electric arc voltage values during arcing of electric internal faults
| Time t(s) | Voltage value (kA) | Time t(s) | Voltage value (kA) | Time t(s) | Voltage value (kA) |
| 0.2484 | 571.459 | 0.2495 | -3.6794 | 0.2506 | 3.5633 |
| 0.2485 | 7.8841 | 0.2496 | -7.6571 | 0.2507 | 6.2276 |
| 0.2486 | -0.6012 | 0.2497 | 1.1634 | 0.2508 | -3.1635 |
| 0.2487 | -7.6964 | 0.2498 | 7.1554 | 0.2509 | -5.9724 |
| 0.2488 | -1.5369 | 0.2499 | 0.4635 | 0.251 | 2.1238 |
| 0.2489 | 5.2274 | 0.25 | -6.7522 | 0.2511 | 9.6891 |
| 0.249 | 2.8513 | 0.2501 | -2.5631 | 0.2512 | 0.6322 |
| 0.2491 | -6.9916 | 0.2502 | 7.3542 | 0.2513 | -2.9542 |
| 0.2492 | -5.0734 | 0.2503 | 3.6313 | 0.2514 | 0 |
| 0.2493 | 4.9552 | 0.2504 | -5.9342 | ||
| 0.2494 | 7.4866 | 0.2505 | -4.1364 |
Claims (6)
1. A modeling method for simulating an arc combustion dynamic process is characterized in that: the electric arc combustion is divided into a pre-arc stage, an electric arc stable combustion stage and an arc extinguishing stage, a time-varying resistance module access circuit is used as a timing point 0, the time period of 0-0.5 ms is a pre-arc stage, the time period of 0.5-2.5 ms is an electric arc stable combustion stage, and the time period of 2.5-3 ms is an arc extinguishing stage.
2. The modeling method for simulating an arc combustion dynamic process according to claim 1, wherein: the arc resistance of the pre-arcing stage is realized by adopting a time-varying resistor, and the time-varying characteristic control function of the time-varying resistor is as follows:
wherein R isp1Is an arc resistance in a pre-burning arc stage; gpIs the arc instantaneous conductance; ii is the absolute value of the arc current; v. ofp15V/cm for each cm of arc gap, 200cm for the arc length, and 2.85 × 10 for α-5；ipThe current peak of the arc.
3. The modeling method for simulating an arc combustion dynamic process according to claim 1, wherein: the arc stable combustion phase is of low resistance characteristics and the resistance value remains unchanged.
4. A modeling method for simulating an arc combustion dynamics process in accordance with claim 3, wherein: the resistance value in the arc-stabilized burning phase was 0.5 ohm.
5. The modeling method for simulating an arc combustion dynamic process according to claim 1, wherein: the resistance value of the time-varying resistor in the arc extinguishing stage is rapidly increased from 0.5 ohm until the arc is completely extinguished and the resistance value is changed into infinity, and the time-varying characteristic control function of the arc in the arc extinguishing stage is as follows:
wherein R isp2For arc resistance in the arc quenching stage, r0For steady-state stage arc resistance, R0τ is the time constant for the resistance before arcing.
6. A modeling method to simulate an arc burning dynamic process as claimed in claim 5 wherein: r is0Is 0.5 ohm, R0Is 1012Ohm, τ ═ 1 ns.
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Cited By (2)
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| CN113406455A (en) * | 2021-07-07 | 2021-09-17 | 福州大学 | Macroscopic characterization method for microscopic state of low-voltage alternating-current arc |
| CN114580147A (en) * | 2022-01-25 | 2022-06-03 | 国网江苏省电力有限公司电力科学研究院 | Simulation method and device of monopole ground fault arc model |
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Cited By (4)
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