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[1]刘慧娟,王俊,郝越,等. 求解时步有限元系统方程的改进非线性算法[J].电机与控制学报,2014,18(09):74-79.
 LIU Hui-juan,WANG Jun,HAO Yue,et al. Modified nonlinear algorithm for solving time steppingfinite element system equations[J].,2014,18(09):74-79.
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 求解时步有限元系统方程的改进非线性算法(PDF)
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《电机与控制学报》[ISSN:1007-449X/CN:23-1 408/TM]

卷:
18
期数:
2014年09
页码:
74-79
栏目:
出版日期:
2014-09-30

文章信息/Info

Title:
 Modified nonlinear algorithm for solving time stepping
finite element system equations
作者:
 刘慧娟 王俊 郝越 傅为农
1. 北京交通大学电气工程学院,北京100044; 2. 香港理工大学电气工程学院,中国香港
Author(s):
 LIU Hui-juan WANG Jun HAO Yue FU Wei-nong
 1. School of Electrical Engineering,Beijing Jiaotong University,Beijing 100044,China;
2. Department of Electrical Engineering,The Hong Kong Polytechnic University,Hong Kong,China
关键词:
 时步有限元法 瞬态电磁场 场路耦合 非线性迭代 数值误差
Keywords:
 time stepping finite element method transient electromagnetic field field-circuit couplednonlinear iterations numerical error
分类号:
-
DOI:
-
文献标志码:
A
摘要:
 针对在利用向后欧拉法求解时步有限元系统方程的非线性迭代中存在的数值误差使有限
元后处理物理量的结果中出现很大噪声尖峰的问题,提出了一种能控制离散变量数值误差和后处
理物理量噪声尖峰的改进算法。首先对电磁设备瞬态运行时步有限元系统方程的矩阵形式进行变
形处理,推导了系统方程的新系数矩阵和非线性迭代的递归公式,以及非线性迭代误差估计的计算
公式。然后,将改进的算法用于仿真计算一台感应电动机瞬态运行的反电动势和涡流损耗,对两种
算法计算结果的对比分析,显示改进算法能显著地消除反电动势和涡流损耗中的噪声尖峰信号。
Abstract:
In order to reduce numerical error of nonlinear iterations and noisy spikes of the derivative
quantities the backward Euler’s method was used to solve the time stepping finite element system equations,
and a modified algorithm which can reduce the numerical error of the discrete variables and the
noisy spikes of the derivative quantities was presented. According to the deformed matrix format of the
time stepping finite element system equations of the transient process for electromagnetic devices,the new
coefficient matrix of the system equations and the recurrence formulation of the nonlinear iterations were
derived,and the calculation formula of the nonlinear iteration error was also deduced. The proposed
method is applied to simulate an induction motor. Computed results of the back emf and eddy-current loss
obtained by the traditional method and the proposed method are compared and reported. All the results
show that the new method can successfully remove the spikes in the calculated waveforms.

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备注/Memo

备注/Memo:
更新日期/Last Update: 2014-11-28