中文摘要：

直流偏磁磁化曲线的非对称性导致传统谐波平衡有限元法中磁阻率的不连续。定点技术基于B-H-M的磁场本构关系,将磁场强度分为线性和非线性两部分,克服了磁阻率不连续的问题。将定点技术引入到谐波平衡有限元法中,基于直流偏磁磁化曲线计算励磁电流和叠片铁心内的磁场。通过适当选择定点磁阻率的值,加快谐波解的迭代收敛速度。基于直流偏磁磁化曲线和无偏磁磁化曲线对变压器叠片铁心模型进行有限元分析,计算结果表明,直流偏磁引起的铁磁材料磁化特性的改变会对励磁电流、磁场等产生影响。

英文摘要：

The asymmetry of DC-biasing magnetizing curves leads to the discontinuity of magnetic reluctivity in traditional harmonic-balanced finite element method（HBFEM）.Based on the B-H-M magnetic constitutive relation,the fixed-point technique divides the magnetic intensity into linear and nonlinear parts and overcomes the computational problem of discontinued magnetic reluctivity.The HBFEM combined with fixed-point technique was applied to calculate the magnetic field on the basis of DC-biasing magnetizing curve,considering the electromagnetic coupling.The value of fixed-point reluctivity was selected properly in the iterative computation aiming at fast convergence of the harmonic solutions.Finite element analysis of the laminated core model（LCM） was performed based on the DC-biasing magnetizing curve and the counterpart without DC bias respectively.The calculated results demonstrate that the variation of magnetizing characteristic of ferromagnetic material due to DC bias may affect the magnetizing current and magnetic field.