优化的传输线有限元法在电磁场中的分析及应用  

Application and Analysis of FEM Method Combined with Optimized TLM in Electromagnetic Field

作　　者：方锦 阎秀恪[1] 钟立国 任自艳[1] 张殿海[1] FANG Jin;YAN Xiuke;ZHONG Liguo;REN Ziyan;ZHANG Dianhai(College of Electrical Engineering,Shenyang University of Technology,Shenyang,Liaoning 110870,China)

机构地区：[1]沈阳工业大学电气工程学院,辽宁沈阳110870

出　　处：《东北电力技术》2024年第1期37-42,共6页Northeast Electric Power Technology

摘　　要：为提高传输线有限元法(transmission line model-finite element method,TLM-FEM)的求解效率,对该方法的入射阶段和反射阶段的求解过程进行了优化。在反射阶段采用优化的松弛方法加速求解非线性端口电压,将单元系数矩阵的计算以及全局矩阵的分解在GPU上并行实现进一步提升计算效率。将优化的TLM-FEM用于单相变压器电磁场的计算中,通过C++自编程分析与商用软件ANSYS的求解结果进行对比,验证了算法的准确性。对同一模型不同网格数量的计算时间进行对比,可知提出的方法可用于大型电气设备电磁场分析。In order to improve the solution efficiency of the transmission line model finite element method(TLM-FEM),it optimizes the solution process of the incident stage and the reflection stage of the method.In the reflection phase,the optimized relaxation method is adopted to accelerate the solution of the nonlinear port voltage.The caculation of the element coefficient matrix and the decomposition of the global matrix are implemented on the GPU in parallel to further improve the computational efficiency.The optimized TLMFEM is used in calculation of electromagnetic field of single phase transformer.The result of C++self-programming analysis is compared with that of commercial software ANSYS,which verifies the accuracy of the algorithm.The calculation time of the same model with different grid numbers is compared,which proves that the proposed method can be applied to analyze the electromagnetic field of large-scale electrical equipment.

关 键 词：优化松弛方法 并行计算 传输线法 有限元 GPUS 

分 类 号：TM15[电气工程—电工理论与新技术]