Multiaxial magneto-mechanical modelling of electrical machines with hysteresis

We present a novel numerical method for modelling of coupled magneto-mechanical behaviour and magnetic hysteresis losses in electrical machine cores under mechanical stress. An energy-based single-valued magneto-mechanical constitutive law is coupled to the Jiles-Atherton model of hysteresis. The material model is implemented in a 2-D finite element method, which solves for both the magnetic vector potential and mechanical displacement in the electrical machine core. The model is applied to analyse stator shrink fitting in a permanent-magnet synchronous machine and centrifugal stress in a high-speed solid-rotor induction machine. The losses in the machines are shown to increase due to the consideration of the mechanical stress.