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 {I1 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 Ili 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.
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.
基金
Project(2014BAF12B01)supported by the Key Projects in the National Science&Technology Pillar Program during the Twelfth Five-year Plan Period,China
Project(51405520)supported by the National Natural Science Foundation of China
Project(2012CB619505)supported by National Basic Research Program of China
