An eddy current sensors have various uses, for example metal detection and determination, nondestructive inspection, and position detection. However, there are few studies which show the influence of a conductor on the impedance of a detector coil using a theoretical formula. This paper shows the simplified calculation method on impedance of a planar coil that can be found from an equivalent circuit by considering that a conductor plate is one turn of coil which form changes according to displacement. The impedance corresponding to the overlap length of a conductor plate was calculated about the planar rectangular coil and the planar triangular coil. The calculated value was compared with the measured value and the calculated value of finite element method. The calculated value of impedance of rectangular coil and triangular coil agreed with the measured value within an error of ± 5.98 %. Mutual inductance between the planar coil and conductor plate was calculated from the area ratio of planar coil and overlap.
Eddy current sensors have various uses. However, there are few studies which show theinfluence of a conductor on the impedance of a detector coil using theoretical formulae. This papershows a simplified calculation method for impedance of a planar coil while considering the influenceof eddy current. An eddy current distribution in a metal plate facing to planar coil was calculatedusing finite element method. It assumed the metal plate to be a one-turn coil that can change shape.Therefore, the impedance of a planar coil considering the influence of the eddy current can beestimated from an equivalent circuit. In addition, calculations were simplified by estimating mutualinductance between the planar coil and the metal plate from an area ratio. This simplified calculationmethod can estimate impedance with the same accuracy as finite element method. The calculatedvalue agrees to within ±2.44 % of the measured value. The computation time was shortened by 1/20.Therefore, it can be immediately estimated how each parameter of a planar coil or a target influencesthe characteristic of the eddy current sensor. This simplified calculation method is useful for anoptimum design of an eddy current sensor.
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