Nonlinear parametric simulation by proper generalized decomposition on the example of a synchronous machine
ISSN: 0332-1649
Article publication date: 24 June 2022
Issue publication date: 5 August 2022
Abstract
Purpose
The accurate simulation of electrical machines involves a large number of degrees of freedom. Particularly, if additional parameters such as remanence variations or different operating points have to be analyzed, the computational effort increases fast, known as the “curse of dimensionality.” The purpose of this study is to cope with this effort with the parametric proper generalized decomposition (PGD) as a model order reduction (MOR) technique. It is combined with the discrete empirical interpolation method (DEIM) and adapted to study characteristic electrical machine parameters.
Design/methodology/approach
The PGD is an a priori MOR technique. The technique is adapted to incorporate several additional parameters, such as the current excitation or permanent magnet remanence, to overcome the increasing computational effort of parametric studies. Further, it is combined with the DEIM to approximate the nonlinearity of the flux guiding material.
Findings
The parametric version of the PGD in combination with the DEIM is a suitable numerical approach to reduce computational effort of parametric studies, while considering nonlinear materials. The computational reduction is related to the influence of the different parameter variations on the field and on the number of parameters.
Originality/value
The extension of the PGD by several parameters associated with parametric studies of electrical machines enables to cope with the “curse of dimensionality.” The parametric PGD and the standard PGD–DEIM have been individually used to study different problems. The combination of both techniques, the parametric PGD and the DEIM, for nonlinear parametric studies of electrical machines represents the scientific contribution of this research.
Keywords
Acknowledgements
This work was supported by the German Research Foundation (DFG) within the research project number 347941356 “Numerical Analysis of Electromagnetic Fields by Proper Generalized Decomposition in Electrical Machines.”
Citation
Müller, F., Baumanns, P., Nell, M.M. and Hameyer, K. (2022), "Nonlinear parametric simulation by proper generalized decomposition on the example of a synchronous machine", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 41 No. 4, pp. 1171-1180. https://doi.org/10.1108/COMPEL-11-2021-0431
Publisher
:Emerald Publishing Limited
Copyright © 2022, Emerald Publishing Limited