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基于麦克斯韦方程,在轴对称假设下建立了霍尔推力器磁场的数学模型.用有限差分方法对模型进行了离散.给出了数值求解模型的迭代法.通过对模型的数值求解,得到了相应的数值结果.通过对所得数值结果的分析,研究了磁场线圈电流变化对霍尔推力器磁场位形的影响.通过调整磁场线圈电流的大小找到了理想磁场位形.研究表明,对于理想磁场位形,内通道的磁镜比在3—3.5之间,外通道的磁镜比在0.4—0.9之间;增加磁场线圈的电流,出口的磁场强度随着增加,但不能增加磁镜比.通道内部的磁场强度几乎不随着磁场线圈电流的变化而变化.
Based on the Maxwell’s equation, a mathematical model of the Hall thruster magnetic field is established under the assumption of axial symmetry. The finite difference method is used to discretize the model. An iterative method of the numerical solution model is given. By numerical solution of the model, The numerical results of the results obtained through the analysis of the results of the magnetic field coil current changes on the Hall thruster magnetic field configuration by adjusting the size of the magnetic field coil current to find the ideal magnetic configuration.The study shows that the ideal magnetic field bit The magnetic mirror ratio of the shape and the inner channel is between 3 and 3.5 and the ratio of the magnetic mirror of the outer channel is between 0.4 and 0.9. As the current of the magnetic field coil increases and the magnetic field strength at the outlet increases, the magnetic mirror ratio can not be increased. The intensity of the internal magnetic field almost does not change with the magnetic field coil current.