Convergence analysis of spectral element method for magnetic devices

This paper concerns the comparison of the performance of the Spectral Element Method (SEM) and the Finite Element Method (FEM) for modeling a magnetostatic problem. The convergence of the vector magnetic potential, the magnetic flux density, and the total stored energy in the system is compared with the results of FEM. Two simulation scenarios are examined which are distinct by a large and a small rounding radius of the corner. SEM shows comparable convergence to FEM for field computations and faster convergence for energy calculations.

[1]  Z. Zhu,et al.  Improved analytical model for predicting the magnetic field distribution in brushless permanent-magnet machines , 2002 .

[3]  D. Howey,et al.  Electromagnetic and thermal homogenisation of an electrical machine slot , 2016, 2016 XXII International Conference on Electrical Machines (ICEM).

[4]  David A. Kopriva,et al.  Implementing Spectral Methods for Partial Differential Equations , 2009 .

[5]  Thomas Weiland,et al.  Coupled finite-element, spectral-element discretisation for models with circular inclusions and far-field domains , 2002 .

[6]  J. Boyd Chebyshev & Fourier Spectral Methods , 1989 .

[7]  Johannes J. H. Paulides,et al.  General Formulation of the Electromagnetic Field Distribution in Machines and Devices Using Fourier Analysis , 2010, IEEE Transactions on Magnetics.

[8]  Arkadiusz Dziechciarz,et al.  Infuence of rotor geometry on NVH behavior of synchronous reluctance machine , 2015, 2015 Tenth International Conference on Ecological Vehicles and Renewable Energies (EVER).

[9]  Damir Zarko,et al.  Comparative analysis of various methods for modelling surface permanent magnet machines , 2017 .

[10]  M. Markovic,et al.  Reducing the cogging torque in brushless DC motors by using conformal mappings , 2004, IEEE Transactions on Magnetics.

[11]  Ibrahim Mahariq,et al.  A spectral element method for the solution of magnetostatic fields , 2017, Turkish J. Electr. Eng. Comput. Sci..

[12]  Francesca Rapetti,et al.  Spectral element methods on triangles and quadrilaterals: comparisons and applications , 2004 .