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Theoretical model of suppression of electron instability in Hall thrusters by boundary feedback system

机译:边界反馈系统抑制霍尔推力器电子不稳定性的理论模型

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Summary form only given. Plasma instabilities in Hall thruster (HT) deteriorate the performance of the thruster and its compatibility with the electronic equipment of the spacecraft. Therefore, a development of effective methods of suppressing the instabilities is an actual problem. Among the plasma instabilities in HT, large scale electron instability holds one of the main positions. Its arising brings about redistribution of electrical field in the acceleration layer that can increase losses of ions on the walls of the thruster. In Ref (1, 2), the theoretical model of the electron instability, based on Rayleigh mechanism of its arising, was developed. The application of a feedback system is a versatile method of suppressing the large scale plasma instabilities. Two kinds of the feedback system are possible: volume and boundary (surface) ones. At conditions of the HT, the boundary feedback system (BFS) is more preferable. At an application of the BFS, sensors and controlling electrodes are placed on the plasma boundary, which is parallel to the magnetic field, that is, on an anode. For the correct choice of the BFS parameters, a theoretical model of the electron instability suppression by the BFS was first developed. It is a subject of the presentation.The theoretical model is built in hydrodynamic approximation with cold magnetized electrons. The perturbations are assumed to be two-dimensional and potential. It is assumed that BFS creates an azimuthal distribution of the potential on the surface of the anode which is function of the electrical field perturbation near the anode. The boundary eigenvalue problem is solved. From the solution, the requirements to the transformation coefficient of the BFS are defined. It is shown that in the frame of made assumptions, the suppression of the electron instability is possible for all lengths of the wave. . For the suppression of the electron instability, the transformation coefficient should lie in the region,- limited as a lower value, so an upper value, which depend on the length of wave and the distance from the anode, where the unperturbed drift velocity sharply increases. The physical mechanism of the electron instability suppression is considered.
机译:仅提供摘要表格。霍尔推进器(HT)中的等离子体不稳定会降低推进器的性能及其与航天器电子设备的兼容性。因此,开发抑制不稳定性的有效方法是一个实际问题。在HT的等离子体不稳定性中,大规模电子不稳定性占据主要位置之一。它的产生导致加速层中电场的重新分布,这会增加推进器壁上离子的损失。在参考文献(1,2)中,基于电子不稳定性的产生的瑞利机理,建立了电子不稳定性的理论模型。反馈系统的应用是抑制大规模等离子体不稳定性的通用方法。反馈系统有两种:体积和边界(表面)。在HT的条件下,边界反馈系统(BFS)更可取。在BFS的应用中,传感器和控制电极放置在与磁场平行的等离子边界上,即在阳极上。为了正确选择BFS参数,首先建立了BFS抑制电子不稳定性的理论模型。理论模型是在冷磁化电子的流体动力学近似基础上建立的。假定扰动是二维的并且是潜在的。假定BFS在阳极表面上形成电势的方位角分布,这是阳极附近电场扰动的函数。边界特征值问题得到解决。从解决方案中,定义了对BFS转换系数的要求。结果表明,在所进行的假设范围内,对于波的所有长度,都可以抑制电子不稳定性。 。为了抑制电子不稳定性,转换系数应位于以下范围内:-限制为一个较低的值,因此应限制一个较高的值,该值取决于波的长度和到阳极的距离,在此处不受干扰的漂移速度会急剧增加。考虑了电子不稳定性抑制的物理机理。

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