基于ANSYS软件包的放电建模方法

Y. Stishkov, A. Buyanov, I. Elagin, M. A. Pavleyno, A. A. Statuya
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摘要

本文提出了利用有限元软件ANSYS计算单极电晕放电的新算法。作为一个例子,我们选择了一种线-平面电极排列方式。电晕放电情况下与无放电情况下电强度线的不变性是该算法的一个基本假设。因此电晕放电情况下电强度沿力线的分布可以用公式E cor = S E el表示,其中E el是无放电情况下的电强度,S是坐标的标量函数。计算算法包括几个阶段。在第一阶段,计算了不考虑体积电荷的电场分布。在接下来的阶段,构造了力线,并沿这些线计算了电晕放电时体积电荷和电场的分布。进一步,指定电流密度分布,使整个力线上的电势降等于外加电压,并以指定的电流值重新计算。由于这些任务在ANSYS包中是非标准的,因此在ANSYS包中开发了专门的计算程序。最后对接收溶液的精度进行了估计。计算结果表明,该解满足电晕放电的初始方程,精度约为10- 15%。然后将计算得到的电力密度用于电风任务解,从而得到压力和速度分布。
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Methods of electric discharge modeling by ANSYS package
In thb paper, the new algorithm for the unipolar corona discharge computation by the finite-element package ANSYS Is proposed. A wire-plane electrode arrangement has been chosen, as an example. The invariability of the electric Intensity force lines In the case of corona discharge in comparison with the case without discharge Is a fundamental assumption of this algorithm. So the distribution of electric intensity in the case of the corona discharge E cor along a force line can be expressed by the formula E cor = S E el , where E el is an electric intensity in the case without discharge, S is a some scalar function of coordinates. The computational algorithm consists of several stages. At the first stage the electric field distribution without taking into account a volume charge was calculated. At the following stage force lines were constructed and distributions of a volume charge and an electric field at corona discharge was calculated along these lines. Further, the current density distribution was specified so that drop of potential along whole force line was equal to the applied voltage, and new calculation was made with the specified value of a current. As these tasks are non-standard for ANSYS package, special programs were developed for their calculation in this package. At last stage the accuracy of received solution was estimated. Estimation has shown the solution satisfies to the Initial equations of corona discharge with accuracy about 10-15 %. Then calculated density of electric forces was used for the electric wind task solution, therefore pressure and velocity distributions were received.
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