基于麦克斯韦方程的交变电流长螺线管磁场

发布时间：2018-05-21 02:12

本文选题：长螺线管 + 磁场分析　；参考：《强激光与粒子束》2015年12期

【摘要】：为了分析方波驱动长螺线管内磁场畸变机理,利用麦克斯韦方程研究了螺线管内外的磁场分布情况。首先,利用麦克斯韦方程,分别建立了正弦波驱动螺线管内外电场、磁场模型,并结合安培环路定律和电磁感应定律选取了合适的边界条件,得到了正弦波驱动长螺线管的磁场分布;其次,通过傅里叶变换将方波信号变换为多个正弦信号叠加的形式,从而得到了方波驱动长螺线管磁场分布;最后,通过仿真试验重点分析了方波驱动信号频率对磁场的影响,并得出结论:方波驱动长螺线管磁场波形会失真、畸变,驱动信号频率较低、距离螺线管轴线距离较近处,磁场的方波特性较好。
[Abstract]:In order to analyze the distortion mechanism of magnetic field in solenoid driven by square wave, the distribution of magnetic field inside and outside of solenoid was studied by Maxwell equation. Firstly, by using Maxwell's equation, the internal and external electric field and magnetic field models of sinusoidal solenoid are established, and the appropriate boundary conditions are selected in combination with the Ampere loop law and the electromagnetic induction law. The magnetic field distribution of the long solenoid driven by sine wave is obtained. Secondly, the square wave signal is transformed into the superposition form of several sinusoidal signals by Fourier transform, and the magnetic field distribution of the long solenoid driven by square wave is obtained. The influence of the frequency of square wave driving signal on magnetic field is analyzed by simulation test. The conclusion is drawn that the magnetic field waveform of square wave driving long solenoid will be distorted and distorted, the frequency of driving signal is lower, and the distance from the axis of solenoid is close. The square wave characteristic of magnetic field is better.
【作者单位】：第二炮兵工程大学兵器发射理论与技术国家重点学科实验室;
【基金】：国家自然科学基金项目(61505254,41404022) 陕西省自然科学基金项目(2015JM4128)
【分类号】：O441

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