基于Helmholtz模型的流注放电过程光电离快速计算

发布时间：2018-05-17 14:58

本文选题：流注放电 + 对流扩散方程　；参考：《中国电机工程学报》2015年01期

【摘要】：流注放电过程通常用流体模型来描述,它由粒子连续性方程耦合泊松方程组成,光电离作为源项加在电子和正离子连续性方程上。目前光电离一般用精度较低的空间均匀背景预电离代替或者用计算效率低的Zheleznyak积分模型进行求解。针对上述两种方法的不足,有学者用多组Helmholtz方程代替积分方程计算光电离,但并没有揭示此方法的物理意义和得到有效的边界条件。结合Penney和Hummert用离子室测量光电离的实验,若把吸收函数表示成指数和形式,即可得到Helmholtz模型的控制方程;根据辐射物理特性,给出了Helmholtz方程Sommerfeld远场辐射边界条件。将该方法应用于高斯辐射源和大气压下双向流注传播过程计算,并与采用其它边界条件的Helmholtz方法和Zheleznyak积分方法进行对比实验。仿真结果表明:采用Sommerfeld远场辐射边界的Helmholtz模型和采用Zheleznyak积分方法计算结果接近,但计算效率更高。
[Abstract]:The flow discharge process is usually described by a fluid model, which is composed of a particle continuity equation coupled with a Poisson equation, and photoionization is added to the electron and positive ion continuity equations as a source term. At present photoionization is usually replaced by low precision spatial homogeneous background preionization or solved by Zheleznyak integral model with low computational efficiency. In view of the shortcomings of the above two methods, some scholars have used multiple sets of Helmholtz equations instead of integral equations to calculate photoionization, but the physical meaning of this method and the effective boundary conditions have not been revealed. Combined with the experiments of Penney and Hummert to measure photoionization by ion chamber, if the absorption function is expressed as exponential sum, the governing equation of Helmholtz model can be obtained, and according to the radiation physical characteristics, the Helmholtz equation Sommerfeld far-field radiation boundary condition is given. The method is applied to the calculation of the bidirectional flow propagation process of the Gao Si emitter and atmospheric pressure, and compared with the Helmholtz method and the Zheleznyak integral method with other boundary conditions. The simulation results show that the Helmholtz model with Sommerfeld far-field radiation boundary is close to the Zheleznyak integral method, but the calculation efficiency is higher.
【作者单位】：东北电力大学;电力系统及发电设备控制与仿真国家实验室(清华大学电机系);
【基金】：国家自然科学基金项目(51207019)~~
【分类号】：TM723

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