Abstract

Changes in the geometric parameters of ring coils, which are an essential element of transducer design used for non-destructive testing of ferromagnetic metals, entail a change in the self-induction coefficient (inductance) of alternating magnetic field source. In the article, on the basis of proposed approach [1], the equations for determining the ring coils inductance are obtained, allowing to take into account real dimensions of inductors. They are equally suitable for situations where coil is located in an empty space, as well as near a conductive ferromagnetic or non-ferromagnetic metal. Calculating the inductance of ring coil located near magnetized, conductive ferromagnetic plate, we found that circuit inductance is the frequency-dependent complex-valued function vs distance between plate and ring coil. The measurements of the inductance of a coil located above a conductive ferromagnetic plate with a change in the non-contact value were carried out. The obtained results testify to physical meaningfulness and reliability of theoretical statements and calculations. These qualitative and quantitative results correspond to generally accepted energy definition of self-induction coefficient.

中文翻译：

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Hankel变换在计算环形线圈电感中的应用。第2部分

摘要

环形线圈的几何参数的变化，这是用于铁磁金属的非破坏性测试的换能器设计的基本要素，它会改变交变磁场源的自感系数（电感）。在本文中，基于提出的方法[1]，获得了用于确定环形线圈电感的方程，从而可以考虑电感的实际尺寸。它们同样适用于线圈位于空旷空间以及导电铁磁或非铁磁金属附近的情况。计算位于磁化的导电铁磁板附近的环形线圈的电感，我们发现电路电感是频率相关的复数值函数与板与环形线圈之间的距离的关系。随非接触值的变化，对位于导电铁磁板上的线圈的电感进行了测量。获得的结果证明了理论陈述和计算的物理意义和可靠性。这些定性和定量结果对应于自感应系数的公认能量定义。