Advanced Numerical Approach using HBFEM

The harmonic balance finite element method (HBFEM) is an effective method to calculate the nonlinear magnetic field without the direct current (DC) bias in the harmonic frequency domain. Harmonic analysis of exciting current and flux density has been done by using the conventional HBFEM to investigate the DC bias phenomena. This chapter introduces the decomposed HBFEM to calculate the DC-biasing magnetic field of LCM in the harmonic domain, considering the harmonic coupling between the external circuits and magnetic field. The chapter combines the fixed-point technique with the HBFEM to calculate the DC-biasing magnetic field by means of the measured magnetization curves of SLC under DC-biased magnetization. The hysteresis model, based on the consuming function and neural network, can be used to simulate the hysteresis effects of the ferromagnetic core under sinusoidal and DC-biased magnetizations. It can also be used to compute the hysteretic nonlinear magnetic field combined with the harmonic finite element method.