样条积分方程法求解非线性磁场问题  

SPLINE INTEGRAL EQUATION METHOD FOR 3D NONLINEAR MAGNETIC FIELD CALCULATION

作　　者：钱秀英[1] 张丽燕[1] 邱捷[1] 张燕[1] 

机构地区：[1]西安交通大学

出　　处：《西安交通大学学报》1996年第12期15-20,共6页Journal of Xi'an Jiaotong University

摘　　要：在积分方程法的基础上，引入样条插值技术，提出了一种新的求解三维非线性磁场问题的数值方法——样条积分方程法．应用该方法采用国际ＴＥＡＭＷｏｒｋｓｈｏｐ第２１基准问题进行核算并对铝电解槽模型内的磁场分布进行了计算分析．结果表明：样条积分方程法在减少计算资源。A novel spline integral equation method(SIEM) is presented for three dimensional nonlinear magnetic field calculation. Based on the Integral Equation Method, SIEM utilizes cubic spline interpolation function of the field values to express the field values of the interpolation elements by those of the retention elements and forms a new equation set. So the unknown variables may decrease considerably. As shown by calculation examples with SIEM, the required memory capacity and CPU time are reduced significantly and calculation accuracy increases obviously.

关 键 词：积分方程法 非线性磁场 样条插值 铝电解槽 

分 类 号：TM153.1[电气工程—电工理论与新技术]