Time-periodic finite-element method for hysteretic eddy-current analysis

The time-periodic finite-element method is applied to hysteretic eddy-current analysis. A new method for determining the relaxation factor of Newton iteration is proposed for fast convergence to periodic solutions. The influence of hysteretic terms in the Jacobian matrix on the Newton iteration is discussed. Application examples show that the proposed method efficiently yields periodic solutions for both hysteretic and nonhysteretic eddy-current fields.