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首页> 中文期刊> 《中南大学学报（英文版）》 >Comparison of three formulations for eddy-current problems in a spiral coil electromagnetic acoustic transducer

Comparison of three formulations for eddy-current problems in a spiral coil electromagnetic acoustic transducer

         
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摘要

Three differential equations based on different definitions of current density are compared. Formulation Ⅰ is based on an incomplete equation for total current density（TCD）. Formulations Ⅱ and Ⅲ are based on incomplete and complete equations for source current density（SCD）, respectively. Using the weak form of finite element method（FEM）, three formulations were applied in a spiral coil electromagnetic acoustic transducer（EMAT） example to solve magnetic vector potential（MVP）. The input impedances calculated by Formulation Ⅲ are in excellent agreement with the experimental measurements. Results show that the errors for Formulations Ⅰ＆ Ⅱ vary with coil diameter, coil spacing, lift-off distance and external excitation frequency, for the existence of eddy-current and skin ＆ proximity effects. And the current distribution across the coil conductor also follows the same trend. It is better to choose Formulation I instead of Formulation Ⅲ to solve MVP when the coil diameter is less than twice the skin depth for Formulation Ⅰ is a low cost and high efficiency calculation method.

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