Pulsed Magnetic Field Measurement Outside Finite Length Solenoid: Experimental Results & Mathematical Verification
Pulsed Magnetic Field Measurement Outside Finite Length Solenoid: Experimental Results & Mathematical Verification
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有限长度螺线管外的脉冲磁场测量：实验结果
DOI：
10.4236/jemaa.2013.510059
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
A. A. M. Mady
中科院分区：
文献类型：
--
作者：
S. Basu;P. Bannerjee;S. Mitra;H. M. Zamel;E. E. Diwany;G. M. Ismail;A. A. M. Mady
本文讨论的磁场映射外的有限长度螺线管电磁铁，由内部设计和校准电感拾取或搜索线圈。搜索线圈是在一种独特的方法校准的基础上，由直线产生的方位磁场分量。这种独特的校准技术帮助我们避免了额外的电路来集成从搜索线圈获得的信号。该方法适用于信号频率随实验工件（空心金属管）尺寸和材料的变化而变化的扩散、内爆研究。已采取补救措施，以避免静电电容拾取（最终加剧集成）保持测量简单和准确。实验测量的场值也与数学计算和有限元模拟得到的电磁场结果进行了比较。在Biot-Savart定律的基础上，论证了两种不同的场计算数学方法。这两种方法都考虑了螺线管的精确几何形状，包括匝间间隙。该方法将封闭形式的数学表达式与数值积分技术相结合，能够确定有限长度螺线管周围任意位置磁场的所有矢量分量。数学计算在论文中同样重要的贡献，特别是因为在有限长度螺线管外的磁场的精确测定在已经存在的文献中没有足够具体的细节进行讨论。数学计算，有限元模拟和实验验证一起为脉冲功率应用中的磁场确定问题提供了整体解决方案，这些问题在现有文献或书籍中没有详细讨论。
The paper deals with magnetic field mapping outside a finite length solenoid electromagnet, by an in-house designed and calibrated inductive pick-up or search coil. The search coil is calibrated in a unique methodology based on the azimuthal magnetic field component generated by a straight wire. This unique calibration technique helps us to avoid additional circuitry to integrate the signal obtained from search coil. The methodology proves advantageous in diffusion, implosion studies where the signal frequency changes with dimension and material of experimental job-piece (hollow metal tube). Remedial measures have been taken to avoid electrostatic capacitive pick-up (which eventually exacerbates with integration) keeping measurement simple and accurate. The experimentally measured field values have also been compared with electromagnetic field results obtained from mathematical calculations and finite element based simulations. Two different mathematical approaches have been demonstrated for field computation based on Biot-Savart Law. Both the methods have taken into account the exact geometry of the solenoid, including the inter-turn gaps. The methods use appropriate combination of closed-form mathematical expression and numerical integration techniques and are capable of determining all the vector components of magnetic field anywhere around the finite length solenoid. The mathematical computations are equally significant contributions in the paper especially because exact determination of magnetic fields outside finite length solenoids has not been discussed in sufficient specific details in already existing literature. The mathematical computations, finite element simulations and experimental verification together provide a holistic solution to magnetic field determination problems in pulse power applications that have not been discussed in available literature or books in specific details.