Resumen de Spectral‐element method for high‐speed rotating cylinders
Purpose – 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.
Design/methodology/approach – A nonlinear spectral‐element (SE) formulation is developed and compared to existing analytical and finite‐element approaches.
Findings – 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.
Research limitations/implications – The SE approach is only developed and tested for 2D models with a single cylindrical domain.
Practical implications – The results of the paper may improve the design and optimisation of solid‐rotor induction machines and magnetic bearings.
Originality/value – 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.
