摘要
高频下绕组损耗的快速计算方法对平面变压器精细化设计和优化有着至关重要的作用。对于垂直方向与水平方向同时存在交叉换位结构的平面变压器,其绕组损耗无法通过一维解析模型计算得到。为解决这一适用性问题,该文提出一种改进二维混合计算模型,从涡流场求解角度对绕组损耗进行计算。该模型将高度方向磁场强度考虑在内,在磁准静态假设以及二维假设基础上,以电流密度与磁场强度为变量对电磁场边值问题进行完全表述,并通过矩量法将电磁场边值问题转化为线性方程组求解问题。通过该文方法所建立线性方程组系数矩阵具有阶数较低,且不随剖分节点、单元数增加而增加的优点,达到确保一定计算精度的前提下有效节约计算成本的目标。搭建原副边匝数比为2:2的交叉结构平面变压器实验模型,对该文方法的有效性进行验证。
Rapid estimation of high frequency winding loss plays an important role in fine design and optimization of planar transformers.The winding loss cannot be obtained by one-dimensional analytical calculation model for planar transformers with cross-structure in horizontal and vertical directions.An improved two-dimensional hybrid calculation model is proposed for the applicability problem.The proposed model calculates winding loss by solving eddy current field and the magnetic field intensity in the vertical direction is taken into account,in which the electromagnetic field boundary value problem is fully expressed with the current density and magnetic field intensity as variables on the basis of the magnetic quasi-static assumption and the two-dimensional assumption.Then,the electromagnetic field boundary value problem is transformed into a linear equation group by the moment method.The coefficient matrix of linear equations established by this method has the advantages of low order and not increasing with the number of split nodes and elements,which achieves the goal of effectively saving the calculation cost under the premise of ensuring certain calculation accuracy.A planar transformer experimental model with 2:2 primary and secondary windings is built to verify the validity of the proposed method.
作者
赵志刚
张学增
赵瑞
毕紫莉
徐海
ZHAO Zhigang;ZHANG Xuezeng;ZHAO Rui;BI Zili;XU Hai(State Key Laboratory of Reliability and Intelligence of Electrical Equipment(Hebei University of Technology),Hongqiao District,Tianjin 300132,China;Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province(Hebei University of Technology),Hongqiao District,Tianjin 300132,China)
出处
《中国电机工程学报》
EI
CSCD
北大核心
2023年第10期4069-4078,共10页
Proceedings of the CSEE
基金
国家自然科学基金项目(51677052,52077053)
河北省人才工程培养资助项目(A201902009)。
关键词
平面变压器
绕组损耗
二维模型
边值问题
矩量法
planar transformer
winding loss
twodimensional model
boundary value problem
method of moments
