Two-dimensional steady-state thermal analytical model of permanent-magnet synchronous machines operating in generator mode

Purpose Thermal analysis of electrical machines is usually performed by using numerical methods or lumped parameter thermal networks depending on the desired accuracy. The analytical prediction temperature distribution based formal resolution partial differential equations (PDEs) harmonic modeling technique (or Fourier method) uncommon in machines. Therefore, this paper aims to present a two-dimensional (2D) model steady-state for permanent-magnet (PM) synchronous (PMSM) operating generator mode. Design/methodology/approach proposed multi-layer models with convolution theorem (i.e. Cauchy’s product theorem) complex Fourier’s series and separation variables method. This takes into different conductivities machine parts. heat sources are determined calculating power losses PMSM finite-element method (FEM). Findings To validate model, results compared those obtained FEM. comparisons show good model. Originality/value A new 2D PDE full account transfer conduction, convection radiation.