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Short gap gas discharge numerical simulation method based on time-domain spectral element method

A technology of time-domain spectral element method and gas discharge, which is applied in design optimization/simulation, electrical digital data processing, special data processing applications, etc., and can solve the problems of limited time step in simulation time, large gradient of charged particles, and numerical divergence, etc. problem, to achieve the effect of easy inversion of mass matrix, reduction of simulation time, and enlargement of time step

Active Publication Date: 2018-02-23
NANJING UNIV OF SCI & TECH
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Problems solved by technology

The difficulty in solving the particle transport equation is that the gradient of charged particles at the head of the streamer is very large, and the general numerical algorithm is difficult to deal with. Even if the mesh is finely divided, there will be numerical divergence or oscillation.
Flux transfer correction technology (FCT) is currently the main method to solve such problems. Traditional flux transfer correction can only be used in explicit iterations, and the simulation time is limited by the time step

Method used

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  • Short gap gas discharge numerical simulation method based on time-domain spectral element method
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Embodiment 1

[0112] In order to verify the correctness and effectiveness of the present invention, the temporal and spatial evolution of the double-head streamer in the short-gap gas discharge is analyzed below.

[0113] The electrode configuration of the example is as follows figure 2 As shown, its geometric model is: a cuboid of 0.0001cm×0.0001cm×1cm, the subdivision size is 0.0001cm, the simulated background electric field is 50kV / cm, and the air pressure is 760torr. The transport parameters used in the simulation are as follows: ionization coefficient α=5.7 Pexp(-259P / E)(cm -1 ) where the unit of air pressure is torr, the unit of electric field is V / cm; the electron diffusion coefficient is D z =1800(cm 2 / s); electron mobility ν e =-2.9e 5 / P·E(cm 2 / s). We think that the streamer starts from the plasmoid at the center of the plate, and the density of charged particles is Gaussian. After a brief initial stage, a steady-state developing propagation process is entered. This exam...

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Abstract

The invention discloses a short gap gas discharge numerical simulation method based on a time-domain spectral element method. The method comprises the following steps of establishing a structure modelof short gap gas, and conducting discretization to obtain the structural information of the model; using a GLL basis function based on the spectral element method for discretization, conducting a Galerkin test, and obtaining an expression of a high-order scheme; for a stiffness matrix, eliminating negative elements outside diagonal lines to obtain an expression of a lower-order scheme; conductingsubtraction on the expressions of the high-order and low-order schemes to obtain original back-diffusion flux and prelimit the original back-diffusion flux; calculating correction factors, obtaininglimited back-diffusion flux at last, adding the limited back-diffusion flux to the expression of the lower-order scheme, conducting time discretization in a multi-step backward difference format, using Newton iteration in each time step for solution, obtaining the electron density and ion density of the gas, calculating an electric field, and updating transport parameters. By means of the method,unconditional stability in time can be achieved, the calculation precision is high, and the simulation effect is good.

Description

technical field [0001] The invention belongs to the technical field of short-gap gas discharge numerical simulation technology, in particular to a short-gap gas discharge numerical simulation method based on a time-domain spectrum element method. Background technique [0002] With the continuous development of the national economy and the continuous improvement of energy demand, ultra-high voltage transmission has become the main way of long-distance transmission. A large part of the failure of the power system is caused by the breakdown of the gas insulation medium. In-depth understanding of the process of gas discharge It is of great significance to ensure the safety of power system. In addition, gas discharge will generate plasma, which is inseparable from our life and production, and plasma processing technology is involved in industry, agriculture, medical treatment, energy and other aspects. Such as plasma cleaning, plasma synthesis, plasma smelting, material surface ...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 解本琦陈如山盛亦军丁大志牛荣鑫
Owner NANJING UNIV OF SCI & TECH
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