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Two approaches to coil impedance calculation of eddy current sensor

机译:涡流传感器线圈阻抗计算的两种方法

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摘要

Eddy current (EC) sensor detects measurand by the change of coil impedance, which is introduced by coupling the magnetic energy between coil and measurement target. Therefore, it is of great significance for both the forward and inverse eddy current problems to study on the approaches to coil impedance calculation. In the current paper, two approaches are presented to calculate coil impedance of EC sensor. First, the theoretical calculation model of coil impedance is simplified as an air-cored cylindrical coil, over an infinite measurement target. And the integral expression of coil impedance is derived according to the sensor operation principle and electromagnetic field theory. Then, the integral expression is expanded as series form in cylindrical coordinate system in order to compute the coil impedance easily, and computed using Mathematica(TM). Next, based on the finite element modeling theory, two different finite element models of eddy current measurement system are built. The infinite boundary in mode1 is truncated, while in model 2, it is simulated completely by an infinite element. Furthermore, the appropriate location where the air domain is truncated at is determined. Finally, the coil impedance and the magnetic distribution of eddy current testing system are obtained by finite element method, respectively. By comparison, the results from the theoretical calculation approach and finite element method are in very good agreement, and the accuracy of two approaches is validated with each other. [PUBLICATION ABSTRACT]
机译:涡流(EC)传感器通过线圈阻抗的变化来检测被测物,该变化是通过将线圈和测量目标之间的磁能耦合而引入的。因此,研究线圈阻抗计算方法对正向和反向涡流问题均具有重要意义。在本文中,提出了两种方法来计算EC传感器的线圈阻抗。首先,在无限大的测量目标上,将线圈阻抗的理论计算模型简化为空心圆柱线圈。根据传感器的工作原理和电磁场理论推导了线圈阻抗的积分表达式。然后,积分表达式在圆柱坐标系中被扩展为级联形式,以便容易地计算线圈阻抗,并使用Mathematica™进行计算。接下来,基于有限元建模理论,建立了两种不同的涡流测量系统的有限元模型。模式1中的无穷边界被截断,而模型2中的无穷边界被一个无限元素完全模拟。此外,确定了在其中截断空域的适当位置。最后,通过有限元法分别得到了涡流检测系统的线圈阻抗和磁场分布。通过比较,理论计算方法和有限元方法的结果非常吻合,并且两种方法的准确性相互验证。 [出版物摘要]

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