任意形状线圈位于平板导体上方的涡流问题  

Analytical Solution to Arbitrary Shape Eddy-Current Probes Above Conducting Slab

作　　者：肖春生[1] 王树宗[1] 朱华兵[1] 

机构地区：[1]海军工程大学兵器工程系,武汉430033

出　　处：《电工技术学报》2007年第11期1-6,共6页Transactions of China Electrotechnical Society

摘　　要：提出了一种求解任意形状线圈位于平板导体上方时矢量磁位的解析方法。应用傅里叶积分形式表示矢量磁位,将积分函数作为待求参数;结合边界条件列出待求参数的方程组,并求解得到矢量磁位的解析表达式;通过电流元与轴对称圆柱线圈两个特例验证了其正确性。该方法利用快速傅里叶变换算法进行数值计算,在实际应用中能显著提高效率。An analytical solution to the vector potential is presented in this paper, which is produced by arbitrary shape eddy-current probes above conducting slabs. First, the vector potential are expressed by 2-D Fourier transform, the integral functions are unknown. Afterward using the boundary conditions, some equations are listed, by which the unknown integral functions can be solved. At last the vector potential of eletricity unit and cylindrical coil demonstrate this theory is correct. Because the numerical calculation of this theroy can use fast Fourier transform algorithm, the computation efficiency is improved obviously.

关 键 词：涡流检测 矢量磁位 解析法 快速傅里叶变换算法 

分 类 号：TP273.22[自动化与计算机技术—检测技术与自动化装置]