The purpose of this paper is to offer a fast and reliable discretisation scheme for computing the electromagnetic fields inside a ferromagnetic cylinder, accounting for motional eddy currents under high velocities and accounting for the severe ferromagnetic saturation of the rotor surface.
A nonlinear spectral‐element (SE) formulation is developed and compared to existing analytical and finite‐element approaches.
The proposed SE method results in a higher accuracy, allows for smaller models, avoids upwinding and needs less computation time. Disadvantages are the dense system matrix and the bad condition number.
The SE approach is only developed and tested for 2D models with a single cylindrical domain.
The results of the paper may improve the design and optimisation of solid‐rotor induction machines and magnetic bearings.
The paper offers an appropriate solution for a computational problem, which already has been encountered by a large community of researchers and engineers dealing with high‐speed rotating devices.
