A new favorable iterative algorithm named as PBiCGSTAB （preconditioned bi-conjugate gradient stabilized） algorithm is presented for solving large sparse complex systems. Based on the orthogonal list, the special tec...A new favorable iterative algorithm named as PBiCGSTAB （preconditioned bi-conjugate gradient stabilized） algorithm is presented for solving large sparse complex systems. Based on the orthogonal list, the special technique of only storing non-zero elements is carried out. The incomplete LU factorization without fill-ins is adopted to reduce the condition number of the coefficient matrix. The BiCGSTAB algorithm is extended from the real system to the complex system and it is used to solve the preconditioned complex linear equations. The locked-rotor state of a single-sided linear induction machine is simulated by the software programmed with the finite element method and the PBiCGSTAB algorithm. Then the results are compared with those from the commercial software ANSYS, showing the validation of the proposed software. The iterative steps required for the proposed algorithm are reduced to about one-third, when compared to the BiCG method, therefore the algorithm is fast.展开更多
复合材料的高电阻率会影响飞机原有的导电路径,为保障飞机电气系统的正常运行,需要构建复合材料飞机电气结构网络系统模型来探究其电气特性。首先,针对电磁场下电气结构网络电气特性的计算问题,采用有限元法与稳定双共轭梯度法共同构建...复合材料的高电阻率会影响飞机原有的导电路径,为保障飞机电气系统的正常运行,需要构建复合材料飞机电气结构网络系统模型来探究其电气特性。首先,针对电磁场下电气结构网络电气特性的计算问题,采用有限元法与稳定双共轭梯度法共同构建了电气结构网络系统模型,计算空间消耗量比部分元等效电路(Partial Element Equivalent Circuit,PEEC)法节省了63.92%。其次,通过对多类型激励源/多区域接入点组合的探究,分析了区域阻抗特性、电势分布图谱、电流密度矢量等多维度电学结果及性能影响。通过构建与测量实物模型,对实测结果与仿真结果进行了差异化分析,并验证了实测结果符合适航规章HB 6129。最后,基于实际工况角度与适航规章,对系统模型进行了接触因素系统误差分析、精细化理想模型分析和部件应力因素分析。所获结果及分析对复合材料飞机/电动飞机的电气结构网络的构建具有重要意义。展开更多
文摘A new favorable iterative algorithm named as PBiCGSTAB （preconditioned bi-conjugate gradient stabilized） algorithm is presented for solving large sparse complex systems. Based on the orthogonal list, the special technique of only storing non-zero elements is carried out. The incomplete LU factorization without fill-ins is adopted to reduce the condition number of the coefficient matrix. The BiCGSTAB algorithm is extended from the real system to the complex system and it is used to solve the preconditioned complex linear equations. The locked-rotor state of a single-sided linear induction machine is simulated by the software programmed with the finite element method and the PBiCGSTAB algorithm. Then the results are compared with those from the commercial software ANSYS, showing the validation of the proposed software. The iterative steps required for the proposed algorithm are reduced to about one-third, when compared to the BiCG method, therefore the algorithm is fast.
文摘复合材料的高电阻率会影响飞机原有的导电路径,为保障飞机电气系统的正常运行,需要构建复合材料飞机电气结构网络系统模型来探究其电气特性。首先,针对电磁场下电气结构网络电气特性的计算问题,采用有限元法与稳定双共轭梯度法共同构建了电气结构网络系统模型,计算空间消耗量比部分元等效电路(Partial Element Equivalent Circuit,PEEC)法节省了63.92%。其次,通过对多类型激励源/多区域接入点组合的探究,分析了区域阻抗特性、电势分布图谱、电流密度矢量等多维度电学结果及性能影响。通过构建与测量实物模型,对实测结果与仿真结果进行了差异化分析,并验证了实测结果符合适航规章HB 6129。最后,基于实际工况角度与适航规章,对系统模型进行了接触因素系统误差分析、精细化理想模型分析和部件应力因素分析。所获结果及分析对复合材料飞机/电动飞机的电气结构网络的构建具有重要意义。
