在巨大的双线线圈之间有一个平面圆形螺线管的系统中的电磁过程

Y. Batygin, T. Gavrilova, E. Chaplygin, S. Shinderuk, Yulia Shcherbinina
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引用次数: 0

摘要

目的。目前,为了节省材料和能源成本,在金属磁脉冲加工设备中已开发出采用双线线圈电感系统的器件。本工作的目的是在边缘电动力学的严格解的基础上,获得一个有限厚度的圆形螺线管在实际金属中的电磁过程分析的设计关系,该螺线管被放置在具有单向电流的大型双线多匝线圈之间。方法。为了解决这个问题,使用了具有适当边界条件的麦克斯韦方程组和拉普拉斯变换。结果。在边值问题精确解的基础上,得到了扁平螺线管在大双线绕组中受谐波单向电流激励时产生的感应电流密度的时空函数。在数值计算的基础上,发现在低频模式下,感应电流的横向分布是线性的,围绕电感器的中心轴对称。在高频模式下,感应电流的横向分布具有锐面效应的特点。揭示了外双线场对内电感过程影响最小的条件。创意。这项工作的新颖之处在于提出了电感系统的设计思想,以及电动力学问题的精确解和电磁过程分析的计算表达式。实用价值。根据所得公式和实际计算,证明了所提计算模型的有效性,可作为同类电感系统确定其最大效率实际条件的基本模型。图2,参考文献17。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
ELECTROMAGNETIC PROCESSES IN A SYSTEM WITH A PLANE CIRCULAR SOLENOID BETWEEN MASSIVE BIFILARY COILS
Purpose. Currently, in order to save materials and energy costs, devices have been developed using inductor systems with bifilar coils used in equipment for magnetic-pulse processing of metals. The purpose of this work is to obtain design relations based on a rigorous solution of the edge electrodynamics for the analysis of electromagnetic processes in a real metal of a circular solenoid of finite thickness placed between massive multi-turn coils of a bifilar with unidirectional currents in a flat inductor system. Methodology. To solve this problem, Maxwell’s equations with appropriate boundary conditions and Laplace transforms were used. Results. Based on the exact solution of the boundary value problem, the space-time function of the density of the induced current, which arises in a flat solenoid when the system is excited by harmonic unidirectional currents in massive bifilar windings, is obtained. On the basis of numerical calculations, it was found that in the low-frequency mode, the transverse distribution of the induced current is linear, symmetric about the central axis of the inductor. In the high-frequency mode, the transverse distribution of the induced current is characteristic of the case of a sharp surface effect. The conditions for the minimum influence of the fields of the external bifilar on the processes in the internal inductor are revealed. Originality. The novelty of this work lies in proposing the idea of the design of the inductor system, as well as in the exact solution of the electrodynamics problem and obtaining the calculated expressions for the analysis of electromagnetic processes. Practical value. On the basis of the obtained formulas and the performed calculations, the efficiency of the proposed calculation model has been proved, which makes it possible to use it as a basic model for similar inductor systems in determining the real conditions of their maximum efficiency. Figures 2, references 17.
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