带外同轴双线螺线管的圆柱形电感系统中的电磁场

Electromechanical and energy saving systems Pub Date : 2021-03-25 DOI:10.30929/2072-2052.2021.1.53.28-34

Y. Batygin, T. Gavrilova, S. Shinderuk, Yulia Shcherbinina

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引用次数: 0

摘要

目的。双线结构在现代电气设备中有着广泛的应用。特别感兴趣的是在现代金属加工设备的元件中使用带有外部双线线圈的电感系统。特别是，研究使用这种装置作为金属磁脉冲加工设备的元件的可能性是非常重要的。本研究的目的是推导出圆柱电感系统中电磁过程特性的理论分析和数值估计的设计表达式。考虑了电感器位于同轴螺线管内的情况，该螺线管的绕组为具有相反方向电流的双线形式。方法。用具有适当边界条件的麦克斯韦方程组和拉普拉斯变换来求解这一问题。这使得确定在考虑的电感系统中激发的磁场强度的第z分量的表达式成为可能。结果。研究发现，在双线线圈绕组外，被激发的磁通量被减去，这导致产生的磁场与每个电流单独产生的磁场相比减小。因此，减小线圈作为电路元件的电感是可能的。结果表明，当相应的代数项的符号发生变化时，所得的场和电流的公式对单向电流的情况仍然有效。对电感系统实验模型的数值估计表明，感应电流占激励电流的百分比不超过~ 6.3%。创意。这项工作的新颖之处在于提出了电感系统本身的建设性执行的想法，以及考虑其物理和数学模型，并获得计算表达式，用于分析正在进行的电磁过程，并对激发场的特性进行数值估计。实用价值。所得到的双线绕组中感应电压和电流的时间依赖关系取决于电感系统各种具体设计的设计条件

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ELECTROMAGNETIC FIELDS IN A CYLINDRICAL INDUCTOR SYSTEM WITH AN EXTERNAL COAXIAL BIFILARY SOLENOID

Purpose. Bifilar structures are widely used in modern electrical devices for various purposes. The specific interest is the using of inductor systems with external bifilar coils in the elements of modern metalworking equipment. In particular, it is very important to study the possibility of using such devices as elements of equipment for magnetic-pulse processing of metals. The aim of this research is a derivation of design expressions for theoretical analysis and numerical estimates of the characteristics of electromagnetic processes in a cylindrical inductor system. The case when the inductor is located inside a coaxial solenoid, the winding of which is made in the form of a bifilar with oppositely directed currents is considered. Methodology. Maxwell’s equations with appropriate boundary conditions and Laplace transforms are used to solve this problem. This made it possible to determine the expression for the z-th component of the magnetic field intensity excited in the considered inductor system. Results. It was found that the excited magnetic fluxes are subtracted outside the bifilar coil windings, which leads to a decrease in the resulting field compared to the magnetic field of each of the currents separately. Thus, it is possible to reduce the inductance of the coil as an element of the electrical circuit. It is shown that the formulas obtained for the fields and currents remain valid for the case of unidirectional currents when the sign of the corresponding algebraic term changes. Numerical estimates for the experimental model of the inductor system showed that the induced current as a percentage of the value of the exciting current does not exceed ~ 6.3 %. Originality. The novelty of this work lies in proposing the idea of constructive execution of the inductor system itself, as well as in considering its physical and mathematical model and obtaining calculated expressions for analyzing the ongoing electromagnetic processes with numerical estimates of the characteristics of the excited fields. Practical value. The obtained time dependences for voltages and currents induced in the bifilar winding are applicable depending on the design conditions for various specific designs of the inductor system

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Electromechanical and energy saving systems

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