复杂介质结构电气设备的FDTD算法

A Novel FDTD Method for Electric Equipment of Multiple Structures

在现有的电磁场算法中,时域有限差分法(FDTD)的使用越来越广泛。但是当解决曲面问题时,原有的FDTD方法就不太适用了。而且,大多数的电气设备为多重材料结构和不连续的曲线表面,传统的FDTD算法会产生发散和不稳定现象。由此提出了一种基于非标准曲线算子的三维高阶FDTD算法,用于解决复杂介质结构电气设备的电磁兼容性问题。根据代数拓扑学,将各种不规则形状的网格转化为合适的二重网格用公式表示出来,在优化整体性能的同时降低色散误差。通过计算结果可以看出,高阶非标准FDTD算法的准确度极高,而且没有任何色散情况出现,并且可以节省大约85%的CPU和内存使用。证明了该FDTD算法能有效提高计算精度并减少计算资源的消耗。

The finite-difference time-domain(FDTD)algorithm is widely used in modern electromagnetic fields.Old FDTD scheme may exhibit loss of global convergence and stability on multiple structure and discontinuous along a curvilinear interface.Therefore,a higher order FDTD algorithm based on non-standard curvilinear operator was introduce to resolve EMC problems in complex material structure.Using the language of algebraic topology,the unified framework appropriately established dual-grid formulation enables the correct mapping of acutely deformed meshes.It can be seen from the calculation results this higher order FDTD method highly improves accuracy and significantly suppresses the artificial dispersion errors.And this method can also save 85%consumption of central processing unit(CPU)and memories approximately.It clearly indicates that this higher order FDTD algorithm can increase accuracy of calculation and decrease consumption of computer resources efficiently.