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

doi:10.19595/j.cnki.1000-6753.tces.181213

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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。

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	赵小军
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关键词 ：磁标量位, 频域分解, 场路耦合, 电矢量位, 直流偏磁

Abstract：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.

Key words： Magnetic scalar potential frequency-domain decomposition electromagnetic coupling current vector potential DC bias

收稿日期: 2018-07-13 出版日期: 2019-09-20

PACS:

TM153

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

通讯作者: 赵小军男,1983年生,博士,副教授,硕士生导师,研究方向为电工材料磁性能测量与模拟技术、频域数值计算方法、变压器直流偏磁及振动噪声问题、多物理场耦合模型及计算方法。E-mail：zxjncepu@ncepu.edu.cn

作者简介: 晋志明男,1993年生,硕士研究生,研究方向为电磁场数值计算。E-mail：jinzhiming1025@163.com

引用本文:

赵小军, 晋志明, 曹越芝, 鲁君伟. 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[J]. 电工技术学报, 2019, 34(17): 3590-3598. Zhao Xiaojun, Jin Zhiming, Cao Yuezhi, Lu Junwei. A Fixed-Point Frequency Domain Method Based on Magnetic Scalar Potential and Its Application to the DC Biased Problem in the Laminated Core. Transactions of China Electrotechnical Society, 2019, 34(17): 3590-3598.

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https://dgjsxb.ces-transaction.com/CN/10.19595/j.cnki.1000-6753.tces.181213 https://dgjsxb.ces-transaction.com/CN/Y2019/V34/I17/3590

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