Harmonic balance finite element method taking account of external circuits and motion

AC electric machines are usually excited by voltage sources and the external elements are connected in the magnetizing circuit. Therefore, the magnetic fields, including nonlinear characteristics, voltage sources, and external circuits, should be considered together in an analysis model. The motion effects in the field problem of electric machines must be taken into account. An approach for analyzing the time-periodic nonlinear magnetic field problems, considering external circuits and motion in the harmonic domain by using the harmonic balance finite element method is described. The system equation for governing magnetic fields with motion and circuits is investigated. Applications are discussed.