The Choice of Parameters of Special Types of Inductors

2019 International Conference on Electrotechnical Complexes and Systems (ICOECS) Pub Date : 2019-10-01 DOI:10.1109/ICOECS46375.2019.8950011

L. Roginskaya, A. Gorbunov

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Abstract

The article developed a mathematical model for calculating the electromagnetic parameters of inductors of special types, for example, inductors with an intermediate conductive medium, inductors-transformers, inductors for heating cylindrical surfaces, when the length of the detail considerably exceeds the length of the inductor. As a result, analytical formulas were derived that allow calculating the parameters of the electromagnetic field and integral values depending on the axial coordinate and radius with a simultaneous analytical solution of a two-dimensional electromagnetic field for areas of the radius of the system from the axis of the inductor or detail to the internal radius of the inductor. The dependences obtained on the basis of the equation for the vector potential and the Bessel equations of zero and first order, which determine the influence of the geometric parameters of the inductor and the details on the magnetic field strength and specific power, are given. Cases of cylindrical coils with a specified number of turns, as well as coils in the form of thin or flat rings are considered. The results of calculations based on the created formulas are presented in the graphs of the distribution of electromagnetic parameters of the system “short inductor - long detail”.

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特殊类型电感器参数的选择

本文建立了一种计算特殊类型电感的电磁参数的数学模型，如具有中间导电介质的电感、电感-变压器、加热圆柱形表面的电感，当细节的长度大大超过电感的长度时。结果，导出了解析公式，可以计算电磁场参数和依赖于轴坐标和半径的积分值，并同时解析解了从电感器轴线或细节到电感器内部半径的系统半径区域的二维电磁场。根据矢量势方程和零阶贝塞尔方程和一阶贝塞尔方程，给出了确定电感器几何参数及其细节对磁场强度和比功率影响的依赖关系。考虑了具有指定匝数的圆柱形线圈以及薄环或平环形式的线圈的情况。根据所建立的公式计算的结果以“短电感-长细节”系统的电磁参数分布图表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

2019 International Conference on Electrotechnical Complexes and Systems (ICOECS)

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