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.
出处
《电工技术学报》
EI
CSCD
北大核心
2007年第11期1-6,共6页
Transactions of China Electrotechnical Society
关键词
涡流检测
矢量磁位
解析法
快速傅里叶变换算法
Eddy-current testing, vector potential, analytical solution, fast Fourier transform algorithm
