考虑线宽的空芯平面圆线圈纯分析电场分布和直流电感预测

IF 1.5 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC
M. H. Javanmardi, A. Rahideh
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引用次数: 0

摘要

本文研究了空气芯平面螺旋线圈的分析自感计算方法。为此,(1) 将螺旋线圈近似为多个同心圆环;(2) 通过贝塞尔-傅里叶展开求解轴对称平面上的方位磁矢量势的泊松方程;(3) 利用磁静力能量分析获得电感。由于可以准确预测导体内部和外部的磁势分布,因此克服了以往许多工作(如诺伊曼公式)所面临的挑战。虽然求解采用的是序列形式,而不是积分或封闭形式,但它是完全解析的,不需要数值辅助,而且精度很高。唯一的缺点是精度会随着回路间隙的增大而降低。为了证明所提方法的有效性,我们对一些案例进行了研究。三维有限元分析结果证实了所提分析方法的有效性和计算效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Pure-Analytical Field Distribution and DC-Inductance Prediction of Air-Cored Planar Circular Coils Considering Wire Width

Pure-Analytical Field Distribution and DC-Inductance Prediction of Air-Cored Planar Circular Coils Considering Wire Width

An analytical self-inductance calculation method for air-cored planar spiral coils is investigated. To this end, (1) the spiral coil is approximated by a number of concentric circular loops, (2) Poisson equation is solved for the azimuthal magnetic vector potential in the axisymmetric plane via Bessel-Fourier expansion and (3) the inductance is obtained using magnetostatic energy analysis. Since potential distribution is accurately predicted inside the conductors as well as outside, the challenges of many previous works, e.g. Neumann’s formula are overcome. Although the solution is in the series form rather than an integral or closed form; it is fully analytical, requiring no numerical assistance and has a good accuracy. The only drawback is that the accuracy drops as the gap between loops increases. Some case-studies are investigated to prove the efficacy of the proposed approach. Three dimensional finite element analysis results confirm both validity and computational efficiency of the proposed analytical method.

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来源期刊
CiteScore
5.50
自引率
4.20%
发文量
93
审稿时长
>12 weeks
期刊介绍: Transactions of Electrical Engineering is to foster the growth of scientific research in all branches of electrical engineering and its related grounds and to provide a medium by means of which the fruits of these researches may be brought to the attentionof the world’s scientific communities. The journal has the focus on the frontier topics in the theoretical, mathematical, numerical, experimental and scientific developments in electrical engineering as well as applications of established techniques to new domains in various electical engineering disciplines such as: Bio electric, Bio mechanics, Bio instrument, Microwaves, Wave Propagation, Communication Theory, Channel Estimation, radar & sonar system, Signal Processing, image processing, Artificial Neural Networks, Data Mining and Machine Learning, Fuzzy Logic and Systems, Fuzzy Control, Optimal & Robust ControlNavigation & Estimation Theory, Power Electronics & Drives, Power Generation & Management The editors will welcome papers from all professors and researchers from universities, research centers, organizations, companies and industries from all over the world in the hope that this will advance the scientific standards of the journal and provide a channel of communication between Iranian Scholars and their colleague in other parts of the world.
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