In Quintela, P., Barral, P., Gómez, D., Pena, F. J., Rodríguez, J., Salgado, P., & Vázquez-Mendéz, M. E., editors, *Progress in Industrial Mathematics at ECMI 2016*, of *The European Consortium for Mathematics in Industry*, Berlin, December, 2017. Springer.

doi abstract bibtex

doi abstract bibtex

The behaviour of electrical machines is accurately predicted by finite element simulations. During the design phase, parameter studies and optimization steps are carried out but rarely sensitivities are analysed. However, manufacturing imperfections and uncertain operating conditions are unavoidable. The quantification of their impact on the machine parameters and operation performance can help to increase the robustness of the machine. Accordingly, methods for sensitivity analysis are getting more and more attention. In this research a 6-pole permanent magnetic synchronous machine is studied by using uncertainty quantification. The uncertain parameters taken into account are related to the geometric properties of the machine (e.g. eccentric rotor positions) or to the material properties (e.g. anisotropic magnets). In order to determine the most sensitive parameters, the influence is studied on the higher harmonic air-gap field components of the machine by using a Monte-Carlo approach. The geometric variations are modelled without remeshing the finite element triangulation in order to avoid numerical noise caused by meshing in the stochastic outputs. It is found that eccentricity increases the total harmonic distortion. If the rotor's centre is described by polar coordinates with respect to the stator's centre, the radial component has more influence on the total harmonic distortion than the angular component.

@InProceedings{ Schops_2017af, abstract = {The behaviour of electrical machines is accurately predicted by finite element simulations. During the design phase, parameter studies and optimization steps are carried out but rarely sensitivities are analysed. However, manufacturing imperfections and uncertain operating conditions are unavoidable. The quantification of their impact on the machine parameters and operation performance can help to increase the robustness of the machine. Accordingly, methods for sensitivity analysis are getting more and more attention. In this research a 6-pole permanent magnetic synchronous machine is studied by using uncertainty quantification. The uncertain parameters taken into account are related to the geometric properties of the machine (e.g. eccentric rotor positions) or to the material properties (e.g. anisotropic magnets). In order to determine the most sensitive parameters, the influence is studied on the higher harmonic air-gap field components of the machine by using a Monte-Carlo approach. The geometric variations are modelled without remeshing the finite element triangulation in order to avoid numerical noise caused by meshing in the stochastic outputs. It is found that eccentricity increases the total harmonic distortion. If the rotor's centre is described by polar coordinates with respect to the stator's centre, the radial component has more influence on the total harmonic distortion than the angular component.}, address = {Berlin}, author = {Schöps, Sebastian and Feng, Lihong}, booktitle = {Progress in Industrial Mathematics at {ECMI} 2016}, citable = {0}, day = {4}, doi = {10.1007/978-3-319-63082-3_39}, editor = {Quintela, Peregrina and Barral, Patricia and Gómez, Dolores and Pena, Francisco J. and Rodríguez, Jerónimo and Salgado, Pilar and Vázquez-Mendéz, Miguel E.}, file = {Schops_2017af.pdf}, group = {schoeps,gsce,nanocops}, internal = {0}, isbn = {978-3-319-63081-6}, keywords = {electrical-machines,monte-carlo,gpc,optimization,ecmi}, langid = {english}, month = dec, publisher = {Springer}, series = {The European Consortium for Mathematics in Industry}, title = {Minisymposium: Mathematical Modeling and Simulation for Nanoelectronic Coupled 2 Problems (nanoCOPS)}, year = {2017} }

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