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

The alternating-current 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 the analysis model. Furthermore, the motion effects in field problem of electric machines must be sometimes taken into account. This paper describes a new approach for analyzing the time-periodic nonlinear magnetic field problems considered external circuits and motion in the harmonic domain by using the harmonic balance finite element method. The system equation for governing magnetic field with motion and circuits is investigated. A few applications are discussed