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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 195410, 8 pages
Research Article

Voltage Sources in 2D Fourier-Based Analytical Models of Electric Machines

1Department of IT&C, Electrical Energy Research Group, Ghent University, V. Vaerwyckweg 1, 9000 Gent, Belgium
2Department of EESA, Electrical Energy Laboratory, Ghent University, Technologiepark-Zwijnaarde 913, 9052 Gent, Belgium

Received 29 June 2015; Accepted 19 September 2015

Academic Editor: Jamal Berakdar

Copyright © 2015 Bert Hannon et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The importance of extensive optimizations during the design of electric machines entails a need for fast and accurate simulation tools. For that reason, Fourier-based analytical models have gained a lot of popularity. The problem, however, is that these models typically require a current density as input. This is in contrast with the fact that the great majority of modern drive trains are powered with the help of a pulse-width modulated voltage-source inverter. To overcome that mismatch, this paper presents a coupling of classical Fourier-based models with the equation for the terminal voltage of an electric machine, a technique that is well known in finite-element modeling but has not yet been translated to Fourier-based analytical models. Both a very general discussion of the technique and a specific example are discussed. The presented work is validated with the help of a finite-element model. A very good accuracy is obtained.