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首页> 外文期刊>NDT & E international >Concerning the derivation of exact solutions to inductive circuit problems for eddy current testing
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Concerning the derivation of exact solutions to inductive circuit problems for eddy current testing

机译：关于涡流测试中感应电路问题的精确解的推导

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摘要

A novel strategy, which enables the derivation of exact solutions describing all electromagnetic interactions arising in inductively coupled circuits, is developed. Differential circuit equations are formulated in terms of the magnetic fields arising in inductive systems, using Faraday's law and convolution, and solved using the Fourier transform. The approach is valid for systems containing any number of driving and receiving coils, and may be extended to include nearby conducting and ferromagnetic structures. Furthermore, arbitrary excitation waveforms, such as a sinusoid or a square wave for applications in conventional and transient eddy current, respectively, may be considered. In this first work, the general theory is presented and subsequently applied to the simple case of a coaxial driver and receiver coil configuration. Theoretical expressions for the self- and mutual inductance coefficients are shown to fall out of the theory naturally. Experimental results, obtained for a square wave function excitation, are found to be in excellent agreement with the analytical predictions.
机译：开发了一种新颖的策略，该策略能够推导描述在电感耦合电路中出现的所有电磁相互作用的精确解。使用法拉第定律和卷积，根据感应系统中产生的磁场来公式化微分电路方程，并使用傅立叶变换求解。该方法对于包含任意数量的驱动线圈和接收线圈的系统有效，并且可以扩展为包括附近的导电和铁磁结构。此外，可以考虑分别在常规涡流和瞬态涡流中应用的任意激励波形，例如正弦波或方波。在这项第一篇工作中，介绍了一般理论，然后将其应用于同轴驱动器和接收器线圈配置的简单情况。自感系数和互感系数的理论表达式被自然地排除在理论之外。发现方波函数激励获得的实验结果与分析预测非常吻合。

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  • 来源
    《NDT & E international》 |2014年第12期|128-135|共8页
  • 作者

    D.R. Desjardins; T.W. Krause; A. Tetervak; L. Clapham;

  • 作者单位

    Department of Physics, Queen's University, Kingston, Ont, Canada, K7L 3N6;

    Department of Physics, Royal Military College of Canada, Kingston, Ont, Canada, K7K 7B4;

    Department of Physics, Queen's University, Kingston, Ont, Canada, K7L 3N6,Department of Physics, Royal Military College of Canada, Kingston, Ont, Canada, K7K 7B4;

    Department of Physics, Queen's University, Kingston, Ont, Canada, K7L 3N6;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Transient eddy current; Inductive coils; Mutual inductance;

    机译：瞬态涡流;感应线圈互感;

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