A polynomial chaos meta‐model for non‐linear stochastic magnet variations
ISSN: 0332-1649
Article publication date: 5 July 2013
Abstract
Purpose
Due to the production process, arc segment magnets with radial magnetization for surface‐mounted permanent‐magnet synchronous machines (PMSM) can exhibit a deviation from the intended ideal, radial directed magnetization. In such cases, the resulting air gap field may show spatial variations in angle and absolute value of the flux‐density. For this purpose, this paper aims to create and evaluate a stochastic magnet model.
Design/methodology/approach
In this paper, a polynomial chaos meta‐model approach, extracted from a finite element model, is compared to a direct sampling approach. Both approaches are evaluated using Monte‐Carlo simulation for the calculation of the flux‐density above one sole magnet surface.
Findings
The used approach allows representing the flux‐density's variations in terms of the magnet's stochastic input variations, which is not possible with pure Monte‐Carlo simulation. Furthermore, the resulting polynomial‐chaos meta‐model can be used to accelerate the calculation of error probabilities for a given limit state function by a factor of ten.
Research limitations/implications
Due to epistemic uncertainty magnet variations are assumed to be purely Gaussian distributed.
Originality/value
The comparison of both approaches verifies the assumption that the polynomial chaos meta‐model of the magnets will be applicable for a complete machine simulation.
Keywords
Citation
Offermann, P. and Hameyer, K. (2013), "A polynomial chaos meta‐model for non‐linear stochastic magnet variations", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 32 No. 4, pp. 1211-1218. https://doi.org/10.1108/03321641311317031
Publisher
:Emerald Group Publishing Limited
Copyright © 2013, Emerald Group Publishing Limited