Convolution approach for analysis of magnetic forces in electrical machines

R. Rothe; M. van der Giet; K. Hameyer

doi:10.1108/03321641011078616

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COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

ISSN: 0332-1649

Online from: 1982

Subject Area: Electrical & Electronic Engineering

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Convolution approach for analysis of magnetic forces in electrical machines

Document Information:
Title:	Convolution approach for analysis of magnetic forces in electrical machines
Author(s):	R. Rothe, (Institute of Electrical Machines, RWTH Aachen University, Aachen, Germany), M. van der Giet, (Institute of Electrical Machines, RWTH Aachen University, Aachen, Germany), K. Hameyer, (Institute of Electrical Machines, RWTH Aachen University, Aachen, Germany)
Citation:	R. Rothe, M. van der Giet, K. Hameyer, (2010) "Convolution approach for analysis of magnetic forces in electrical machines", COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 29 Iss: 6, pp.1542 - 1551
Keywords:	Electric machines, Finite element analysis, Force measurement, Harmonics, Magnetic measurement, Vibration
Article type:	Research paper
DOI:	10.1108/03321641011078616 (Permanent URL)
Publisher:	Emerald Group Publishing Limited
Acknowledgements:	The authors would like to thank contributors to the success of the EMF 2009 Symposium.
Abstract:	Purpose – The purpose of this paper is to present a method for analyzing higher magnetic force harmonics in electrical machines based on electromagnetic finite element simulation. Design/methodology/approach – Sampling of air gap field solution data allows for a Fourier decomposition of magnetic forces and flux densities. A two-dimensional convolution gives insight into the spectral decomposition of forces responsible for acoustic noise, vibration and higher torque harmonics. Findings – The proposed approach seems especially suitable for synchronous machine models. The influence of magnetic circuit design parameters that are difficult to calculate analytically on the harmonic air gap content can be analyzed and the spectral force decomposition illustrated by means of space vectors. Originality/value – The approach is generalized to the convolution and analysis of arbitrarily sampled two-dimensional data in this paper.