基于磁标量位的定点频域算法及其在叠片铁心偏磁问题中的应用  

A Fixed-Point Frequency Domain Method Based on Magnetic Scalar Potential and Its Application to the DC Biased Problem in the Laminated Core

作　　者：赵小军[1] 晋志明 曹越芝 鲁君伟 Zhao Xiaojun;Jin Zhiming;Cao Yuezhi;Lu Junwei(Department of Electrical Engineering,North China Electric Power University,Baoding 071003,China;Griffith University,Griffith School of Engineering,Gold Coast 4222,Australia)

机构地区：[1]华北电力大学电力工程系,保定071003 [2]格里菲斯大学格里菲斯工程系,黄金海岸4222

出　　处：《电工技术学报》2019年第17期3590-3598,共9页Transactions of China Electrotechnical Society

基　　金：国家重点研发计划(2017YFB0902703);国家自然科学基金(51777073,51577066);河北省自然科学基金(E2017502061)资助

摘　　要：采用复指数级数对周期变量进行展开,提出基于磁标量位和电矢量位的定点频域分解算法,并应用于叠片铁心直流偏磁问题的计算和分析。采用棱单元对电矢量位进行插值计算。考虑场路耦合关系,以磁标量位和励磁电流为未知量建立求解二维非线性场的频域方程。引入定点磁导率实现各次谐波的解耦,有效地降低了频域求解的计算代价。利用叠片铁心模型进行直流偏磁实验,将计算结果与实验结果进行了比较,验证了该方法在直流偏磁问题计算与分析中的有效性。A fixed-point frequency domain algorithm based on the magnetic scalar and current vector potential is presented by using the complex exponential to approximate periodic variables.The DC biased problem in a laminated core is investigated and analyzed by the proposed method,in which the edge element is used to interpolate the current vector potential.The frequency-domain finite element equation is assembled to solve the two-dimensional nonlinear magnetic field taking electromagnetic coupling into account.The fixed-point permeability is introduced to decompose the coefficient matrix and decouples harmonic solutions,which reduce the memory requirements and computational time significantly.A laminated core model is employed to carry out the DC biasing experiment.The calculated results are compared with the experimental ones to verify the validity of the proposed method in computation and analysis of DC biased problems.

关 键 词：磁标量位 频域分解 场路耦合 电矢量位 直流偏磁 

分 类 号：TM153[电气工程—电工理论与新技术]